Identifier
-
Mp00059:
Permutations
—Robinson-Schensted insertion tableau⟶
Standard tableaux
Mp00294: Standard tableaux —peak composition⟶ Integer compositions
Mp00184: Integer compositions —to threshold graph⟶ Graphs
St000455: Graphs ⟶ ℤ
Values
[1,3,2] => [[1,2],[3]] => [2,1] => ([(0,2),(1,2)],3) => 0
[3,1,2] => [[1,2],[3]] => [2,1] => ([(0,2),(1,2)],3) => 0
[1,2,4,3] => [[1,2,3],[4]] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 0
[1,3,2,4] => [[1,2,4],[3]] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,3,4,2] => [[1,2,4],[3]] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,4,2,3] => [[1,2,3],[4]] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 0
[1,4,3,2] => [[1,2],[3],[4]] => [2,2] => ([(1,3),(2,3)],4) => 0
[2,1,4,3] => [[1,3],[2,4]] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 0
[2,4,1,3] => [[1,3],[2,4]] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 0
[2,4,3,1] => [[1,3],[2],[4]] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 0
[3,1,2,4] => [[1,2,4],[3]] => [2,2] => ([(1,3),(2,3)],4) => 0
[3,1,4,2] => [[1,2],[3,4]] => [2,2] => ([(1,3),(2,3)],4) => 0
[3,4,1,2] => [[1,2],[3,4]] => [2,2] => ([(1,3),(2,3)],4) => 0
[4,1,2,3] => [[1,2,3],[4]] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 0
[4,1,3,2] => [[1,2],[3],[4]] => [2,2] => ([(1,3),(2,3)],4) => 0
[4,2,1,3] => [[1,3],[2],[4]] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 0
[4,2,3,1] => [[1,3],[2],[4]] => [3,1] => ([(0,3),(1,3),(2,3)],4) => 0
[4,3,1,2] => [[1,2],[3],[4]] => [2,2] => ([(1,3),(2,3)],4) => 0
[1,2,3,5,4] => [[1,2,3,4],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[1,2,4,3,5] => [[1,2,3,5],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[1,2,4,5,3] => [[1,2,3,5],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[1,2,5,3,4] => [[1,2,3,4],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[1,2,5,4,3] => [[1,2,3],[4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[1,3,2,4,5] => [[1,2,4,5],[3]] => [2,3] => ([(2,4),(3,4)],5) => 0
[1,3,4,2,5] => [[1,2,4,5],[3]] => [2,3] => ([(2,4),(3,4)],5) => 0
[1,3,4,5,2] => [[1,2,4,5],[3]] => [2,3] => ([(2,4),(3,4)],5) => 0
[1,4,2,3,5] => [[1,2,3,5],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[1,4,2,5,3] => [[1,2,3],[4,5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[1,4,3,2,5] => [[1,2,5],[3],[4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[1,4,3,5,2] => [[1,2,5],[3],[4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[1,4,5,2,3] => [[1,2,3],[4,5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[1,4,5,3,2] => [[1,2,5],[3],[4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[1,5,2,3,4] => [[1,2,3,4],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[1,5,2,4,3] => [[1,2,3],[4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[1,5,4,2,3] => [[1,2,3],[4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[1,5,4,3,2] => [[1,2],[3],[4],[5]] => [2,3] => ([(2,4),(3,4)],5) => 0
[2,1,3,5,4] => [[1,3,4],[2,5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[2,1,4,3,5] => [[1,3,5],[2,4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[2,1,4,5,3] => [[1,3,5],[2,4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[2,1,5,3,4] => [[1,3,4],[2,5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[2,1,5,4,3] => [[1,3],[2,4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[2,3,1,5,4] => [[1,3,4],[2,5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[2,3,5,1,4] => [[1,3,4],[2,5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[2,3,5,4,1] => [[1,3,4],[2],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[2,4,1,3,5] => [[1,3,5],[2,4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[2,4,1,5,3] => [[1,3,5],[2,4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[2,4,3,1,5] => [[1,3,5],[2],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[2,4,3,5,1] => [[1,3,5],[2],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[2,4,5,1,3] => [[1,3,5],[2,4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[2,4,5,3,1] => [[1,3,5],[2],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[2,5,1,3,4] => [[1,3,4],[2,5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[2,5,1,4,3] => [[1,3],[2,4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[2,5,3,1,4] => [[1,3,4],[2],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[2,5,3,4,1] => [[1,3,4],[2],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[2,5,4,1,3] => [[1,3],[2,4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[2,5,4,3,1] => [[1,3],[2],[4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[3,1,2,4,5] => [[1,2,4,5],[3]] => [2,3] => ([(2,4),(3,4)],5) => 0
[3,1,4,2,5] => [[1,2,5],[3,4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[3,1,4,5,2] => [[1,2,5],[3,4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[3,2,1,5,4] => [[1,4],[2,5],[3]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[3,2,5,1,4] => [[1,4],[2,5],[3]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[3,2,5,4,1] => [[1,4],[2,5],[3]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[3,4,1,2,5] => [[1,2,5],[3,4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[3,4,1,5,2] => [[1,2,5],[3,4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[3,4,5,1,2] => [[1,2,5],[3,4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[3,5,2,1,4] => [[1,4],[2,5],[3]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[3,5,2,4,1] => [[1,4],[2,5],[3]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[3,5,4,2,1] => [[1,4],[2],[3],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[4,1,2,3,5] => [[1,2,3,5],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[4,1,2,5,3] => [[1,2,3],[4,5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[4,1,3,2,5] => [[1,2,5],[3],[4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[4,1,3,5,2] => [[1,2,5],[3],[4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[4,1,5,2,3] => [[1,2,3],[4,5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[4,1,5,3,2] => [[1,2],[3,5],[4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[4,2,1,3,5] => [[1,3,5],[2],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[4,2,1,5,3] => [[1,3],[2,5],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[4,2,3,1,5] => [[1,3,5],[2],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[4,2,3,5,1] => [[1,3,5],[2],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[4,2,5,1,3] => [[1,3],[2,5],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[4,2,5,3,1] => [[1,3],[2,5],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[4,3,1,2,5] => [[1,2,5],[3],[4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[4,3,1,5,2] => [[1,2],[3,5],[4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[4,3,5,1,2] => [[1,2],[3,5],[4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[4,5,1,2,3] => [[1,2,3],[4,5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[4,5,1,3,2] => [[1,2],[3,5],[4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[4,5,2,1,3] => [[1,3],[2,5],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[4,5,2,3,1] => [[1,3],[2,5],[4]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[4,5,3,1,2] => [[1,2],[3,5],[4]] => [2,3] => ([(2,4),(3,4)],5) => 0
[5,1,2,3,4] => [[1,2,3,4],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[5,1,2,4,3] => [[1,2,3],[4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[5,1,4,2,3] => [[1,2,3],[4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[5,1,4,3,2] => [[1,2],[3],[4],[5]] => [2,3] => ([(2,4),(3,4)],5) => 0
[5,2,1,3,4] => [[1,3,4],[2],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[5,2,1,4,3] => [[1,3],[2,4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[5,2,3,1,4] => [[1,3,4],[2],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[5,2,3,4,1] => [[1,3,4],[2],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[5,2,4,1,3] => [[1,3],[2,4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[5,2,4,3,1] => [[1,3],[2],[4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[5,3,2,1,4] => [[1,4],[2],[3],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[5,3,2,4,1] => [[1,4],[2],[3],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
[5,3,4,2,1] => [[1,4],[2],[3],[5]] => [4,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 0
>>> Load all 2346 entries. <<<[5,4,1,2,3] => [[1,2,3],[4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[5,4,1,3,2] => [[1,2],[3],[4],[5]] => [2,3] => ([(2,4),(3,4)],5) => 0
[5,4,2,1,3] => [[1,3],[2],[4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[5,4,2,3,1] => [[1,3],[2],[4],[5]] => [3,2] => ([(1,4),(2,4),(3,4)],5) => 0
[5,4,3,1,2] => [[1,2],[3],[4],[5]] => [2,3] => ([(2,4),(3,4)],5) => 0
[1,2,3,4,6,5] => [[1,2,3,4,5],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,2,3,5,4,6] => [[1,2,3,4,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,2,3,5,6,4] => [[1,2,3,4,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,2,3,6,4,5] => [[1,2,3,4,5],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,2,3,6,5,4] => [[1,2,3,4],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,2,4,3,5,6] => [[1,2,3,5,6],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,2,4,5,3,6] => [[1,2,3,5,6],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,2,4,5,6,3] => [[1,2,3,5,6],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,2,5,3,4,6] => [[1,2,3,4,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,2,5,3,6,4] => [[1,2,3,4],[5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,2,5,4,3,6] => [[1,2,3,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,2,5,4,6,3] => [[1,2,3,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,2,5,6,3,4] => [[1,2,3,4],[5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,2,5,6,4,3] => [[1,2,3,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,2,6,3,4,5] => [[1,2,3,4,5],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,2,6,3,5,4] => [[1,2,3,4],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,2,6,5,3,4] => [[1,2,3,4],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,2,6,5,4,3] => [[1,2,3],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,3,2,4,5,6] => [[1,2,4,5,6],[3]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,3,4,2,5,6] => [[1,2,4,5,6],[3]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,3,4,5,2,6] => [[1,2,4,5,6],[3]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,3,4,5,6,2] => [[1,2,4,5,6],[3]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,4,2,3,5,6] => [[1,2,3,5,6],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,4,2,5,3,6] => [[1,2,3,6],[4,5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,4,2,5,6,3] => [[1,2,3,6],[4,5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,4,3,2,5,6] => [[1,2,5,6],[3],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,4,3,5,2,6] => [[1,2,5,6],[3],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,4,3,5,6,2] => [[1,2,5,6],[3],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,4,5,2,3,6] => [[1,2,3,6],[4,5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,4,5,2,6,3] => [[1,2,3,6],[4,5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,4,5,3,2,6] => [[1,2,5,6],[3],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,4,5,3,6,2] => [[1,2,5,6],[3],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,4,5,6,2,3] => [[1,2,3,6],[4,5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,4,5,6,3,2] => [[1,2,5,6],[3],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,5,2,3,4,6] => [[1,2,3,4,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,5,2,3,6,4] => [[1,2,3,4],[5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,5,2,4,3,6] => [[1,2,3,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,5,2,4,6,3] => [[1,2,3,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,5,2,6,3,4] => [[1,2,3,4],[5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,5,2,6,4,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,5,4,2,3,6] => [[1,2,3,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,5,4,2,6,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,5,4,3,2,6] => [[1,2,6],[3],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,5,4,3,6,2] => [[1,2,6],[3],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,5,4,6,2,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,5,4,6,3,2] => [[1,2,6],[3],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,5,6,2,3,4] => [[1,2,3,4],[5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,5,6,2,4,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,5,6,4,2,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,5,6,4,3,2] => [[1,2,6],[3],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,6,2,3,4,5] => [[1,2,3,4,5],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,6,2,3,5,4] => [[1,2,3,4],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,6,2,5,3,4] => [[1,2,3,4],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,6,2,5,4,3] => [[1,2,3],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,6,5,2,3,4] => [[1,2,3,4],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[1,6,5,2,4,3] => [[1,2,3],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,6,5,4,2,3] => [[1,2,3],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => [2,4] => ([(3,5),(4,5)],6) => 0
[2,1,3,4,6,5] => [[1,3,4,5],[2,6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,1,3,5,4,6] => [[1,3,4,6],[2,5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,1,3,5,6,4] => [[1,3,4,6],[2,5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,1,3,6,4,5] => [[1,3,4,5],[2,6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,1,3,6,5,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,1,4,3,5,6] => [[1,3,5,6],[2,4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,1,4,5,3,6] => [[1,3,5,6],[2,4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,1,4,5,6,3] => [[1,3,5,6],[2,4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,1,5,3,4,6] => [[1,3,4,6],[2,5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,1,5,3,6,4] => [[1,3,4],[2,5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,1,5,4,3,6] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,1,5,4,6,3] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,1,5,6,3,4] => [[1,3,4],[2,5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,1,5,6,4,3] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,1,6,3,4,5] => [[1,3,4,5],[2,6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,1,6,3,5,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,1,6,5,3,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,1,6,5,4,3] => [[1,3],[2,4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,3,1,4,6,5] => [[1,3,4,5],[2,6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,1,5,4,6] => [[1,3,4,6],[2,5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,1,5,6,4] => [[1,3,4,6],[2,5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,1,6,4,5] => [[1,3,4,5],[2,6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,1,6,5,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,4,1,6,5] => [[1,3,4,5],[2,6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,4,6,1,5] => [[1,3,4,5],[2,6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,4,6,5,1] => [[1,3,4,5],[2],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,5,1,4,6] => [[1,3,4,6],[2,5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,5,1,6,4] => [[1,3,4,6],[2,5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,5,4,1,6] => [[1,3,4,6],[2],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,5,4,6,1] => [[1,3,4,6],[2],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,5,6,1,4] => [[1,3,4,6],[2,5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,5,6,4,1] => [[1,3,4,6],[2],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,6,1,4,5] => [[1,3,4,5],[2,6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,6,1,5,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,6,4,1,5] => [[1,3,4,5],[2],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,6,4,5,1] => [[1,3,4,5],[2],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,6,5,1,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,3,6,5,4,1] => [[1,3,4],[2],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,4,1,3,5,6] => [[1,3,5,6],[2,4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,4,1,5,3,6] => [[1,3,5,6],[2,4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,4,1,5,6,3] => [[1,3,5,6],[2,4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,4,3,1,5,6] => [[1,3,5,6],[2],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,4,3,5,1,6] => [[1,3,5,6],[2],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,4,3,5,6,1] => [[1,3,5,6],[2],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,4,5,1,3,6] => [[1,3,5,6],[2,4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,4,5,1,6,3] => [[1,3,5,6],[2,4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,4,5,3,1,6] => [[1,3,5,6],[2],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,4,5,3,6,1] => [[1,3,5,6],[2],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,4,5,6,1,3] => [[1,3,5,6],[2,4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,4,5,6,3,1] => [[1,3,5,6],[2],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,5,1,3,4,6] => [[1,3,4,6],[2,5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,5,1,3,6,4] => [[1,3,4],[2,5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,5,1,4,3,6] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,5,1,4,6,3] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,5,1,6,3,4] => [[1,3,4],[2,5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,5,1,6,4,3] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,5,3,1,4,6] => [[1,3,4,6],[2],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,5,3,1,6,4] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,5,3,4,1,6] => [[1,3,4,6],[2],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,5,3,4,6,1] => [[1,3,4,6],[2],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,5,3,6,1,4] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,5,3,6,4,1] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,5,4,1,3,6] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,5,4,1,6,3] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,5,4,3,1,6] => [[1,3,6],[2],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,5,4,3,6,1] => [[1,3,6],[2],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,5,4,6,1,3] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,5,4,6,3,1] => [[1,3,6],[2],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,5,6,1,3,4] => [[1,3,4],[2,5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,5,6,1,4,3] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,5,6,3,1,4] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,5,6,3,4,1] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,5,6,4,1,3] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,5,6,4,3,1] => [[1,3,6],[2],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,6,1,3,4,5] => [[1,3,4,5],[2,6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,6,1,3,5,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,6,1,5,3,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,6,1,5,4,3] => [[1,3],[2,4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,6,3,1,4,5] => [[1,3,4,5],[2],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,6,3,1,5,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,6,3,4,1,5] => [[1,3,4,5],[2],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,6,3,4,5,1] => [[1,3,4,5],[2],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,6,3,5,1,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,6,3,5,4,1] => [[1,3,4],[2],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,6,5,1,3,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,6,5,1,4,3] => [[1,3],[2,4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,6,5,3,1,4] => [[1,3,4],[2],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,6,5,3,4,1] => [[1,3,4],[2],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[2,6,5,4,1,3] => [[1,3],[2,4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[2,6,5,4,3,1] => [[1,3],[2],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[3,1,2,4,5,6] => [[1,2,4,5,6],[3]] => [2,4] => ([(3,5),(4,5)],6) => 0
[3,1,4,2,5,6] => [[1,2,5,6],[3,4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[3,1,4,5,2,6] => [[1,2,5,6],[3,4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[3,1,4,5,6,2] => [[1,2,5,6],[3,4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[3,2,1,4,6,5] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,1,5,4,6] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,1,5,6,4] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,1,6,4,5] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,1,6,5,4] => [[1,4],[2,5],[3,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,4,1,6,5] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,4,6,1,5] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,4,6,5,1] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,5,1,4,6] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,5,1,6,4] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,5,4,1,6] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,5,4,6,1] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,5,6,1,4] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,5,6,4,1] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,6,1,4,5] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,6,1,5,4] => [[1,4],[2,5],[3,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,6,4,1,5] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,6,4,5,1] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,6,5,1,4] => [[1,4],[2,5],[3,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,2,6,5,4,1] => [[1,4],[2,5],[3],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,4,1,2,5,6] => [[1,2,5,6],[3,4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[3,4,1,5,2,6] => [[1,2,5,6],[3,4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[3,4,1,5,6,2] => [[1,2,5,6],[3,4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[3,4,2,1,6,5] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,4,2,6,1,5] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,4,2,6,5,1] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,4,5,1,2,6] => [[1,2,5,6],[3,4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[3,4,5,1,6,2] => [[1,2,5,6],[3,4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[3,4,5,6,1,2] => [[1,2,5,6],[3,4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[3,4,6,2,1,5] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,4,6,2,5,1] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,4,6,5,2,1] => [[1,4,5],[2],[3],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,5,2,1,4,6] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,5,2,1,6,4] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,5,2,4,1,6] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,5,2,4,6,1] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,5,2,6,1,4] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,5,2,6,4,1] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,5,4,2,1,6] => [[1,4,6],[2],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,5,4,2,6,1] => [[1,4,6],[2],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,5,4,6,2,1] => [[1,4,6],[2],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,5,6,2,1,4] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,5,6,2,4,1] => [[1,4,6],[2,5],[3]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,5,6,4,2,1] => [[1,4,6],[2],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,6,2,1,4,5] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,6,2,1,5,4] => [[1,4],[2,5],[3,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,6,2,4,1,5] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,6,2,4,5,1] => [[1,4,5],[2,6],[3]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,6,2,5,1,4] => [[1,4],[2,5],[3,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,6,2,5,4,1] => [[1,4],[2,5],[3],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,6,4,2,1,5] => [[1,4,5],[2],[3],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,6,4,2,5,1] => [[1,4,5],[2],[3],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,6,4,5,2,1] => [[1,4,5],[2],[3],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,6,5,2,1,4] => [[1,4],[2,5],[3],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,6,5,2,4,1] => [[1,4],[2,5],[3],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[3,6,5,4,2,1] => [[1,4],[2],[3],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[4,1,2,3,5,6] => [[1,2,3,5,6],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,1,2,5,3,6] => [[1,2,3,6],[4,5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,1,2,5,6,3] => [[1,2,3,6],[4,5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,1,3,2,5,6] => [[1,2,5,6],[3],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,1,3,5,2,6] => [[1,2,5,6],[3],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,1,3,5,6,2] => [[1,2,5,6],[3],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,1,5,2,3,6] => [[1,2,3,6],[4,5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,1,5,2,6,3] => [[1,2,3],[4,5,6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,1,5,3,2,6] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,1,5,3,6,2] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,1,5,6,2,3] => [[1,2,3],[4,5,6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,1,5,6,3,2] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,2,1,3,5,6] => [[1,3,5,6],[2],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,2,1,5,3,6] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,2,1,5,6,3] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,2,3,1,5,6] => [[1,3,5,6],[2],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,2,3,5,1,6] => [[1,3,5,6],[2],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,2,3,5,6,1] => [[1,3,5,6],[2],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,2,5,1,3,6] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,2,5,1,6,3] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,2,5,3,1,6] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,2,5,3,6,1] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,2,5,6,1,3] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,2,5,6,3,1] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,3,1,2,5,6] => [[1,2,5,6],[3],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,3,1,5,2,6] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,3,1,5,6,2] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,3,2,1,6,5] => [[1,5],[2,6],[3],[4]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[4,3,2,6,1,5] => [[1,5],[2,6],[3],[4]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[4,3,2,6,5,1] => [[1,5],[2,6],[3],[4]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[4,3,5,1,2,6] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,3,5,1,6,2] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,3,5,6,1,2] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,3,6,2,1,5] => [[1,5],[2,6],[3],[4]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[4,3,6,2,5,1] => [[1,5],[2,6],[3],[4]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[4,3,6,5,2,1] => [[1,5],[2,6],[3],[4]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[4,5,1,2,3,6] => [[1,2,3,6],[4,5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,5,1,2,6,3] => [[1,2,3],[4,5,6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,5,1,3,2,6] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,5,1,3,6,2] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,5,1,6,2,3] => [[1,2,3],[4,5,6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,5,1,6,3,2] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,5,2,1,3,6] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,5,2,1,6,3] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,5,2,3,1,6] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,5,2,3,6,1] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,5,2,6,1,3] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,5,2,6,3,1] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,5,3,1,2,6] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,5,3,1,6,2] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,5,3,6,1,2] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,5,6,1,2,3] => [[1,2,3],[4,5,6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,5,6,1,3,2] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,5,6,2,1,3] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,5,6,2,3,1] => [[1,3,6],[2,5],[4]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[4,5,6,3,1,2] => [[1,2,6],[3,5],[4]] => [2,4] => ([(3,5),(4,5)],6) => 0
[4,6,3,2,1,5] => [[1,5],[2,6],[3],[4]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[4,6,3,2,5,1] => [[1,5],[2,6],[3],[4]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[4,6,3,5,2,1] => [[1,5],[2,6],[3],[4]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[4,6,5,3,2,1] => [[1,5],[2],[3],[4],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,1,2,3,4,6] => [[1,2,3,4,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,1,2,3,6,4] => [[1,2,3,4],[5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,1,2,4,3,6] => [[1,2,3,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,1,2,4,6,3] => [[1,2,3,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,1,2,6,3,4] => [[1,2,3,4],[5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,1,2,6,4,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,1,4,2,3,6] => [[1,2,3,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,1,4,2,6,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,1,4,3,2,6] => [[1,2,6],[3],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,1,4,3,6,2] => [[1,2,6],[3],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,1,4,6,2,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,1,4,6,3,2] => [[1,2,6],[3],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,1,6,2,3,4] => [[1,2,3,4],[5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,1,6,2,4,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,1,6,4,2,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,1,6,4,3,2] => [[1,2],[3,6],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,2,1,3,4,6] => [[1,3,4,6],[2],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,2,1,3,6,4] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,2,1,4,3,6] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,2,1,4,6,3] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,2,1,6,3,4] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,2,1,6,4,3] => [[1,3],[2,4],[5,6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,2,3,1,4,6] => [[1,3,4,6],[2],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,2,3,1,6,4] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,2,3,4,1,6] => [[1,3,4,6],[2],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,2,3,4,6,1] => [[1,3,4,6],[2],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,2,3,6,1,4] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,2,3,6,4,1] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,2,4,1,3,6] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,2,4,1,6,3] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,2,4,3,1,6] => [[1,3,6],[2],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,2,4,3,6,1] => [[1,3,6],[2],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,2,4,6,1,3] => [[1,3,6],[2,4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,2,4,6,3,1] => [[1,3,6],[2],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,2,6,1,3,4] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,2,6,1,4,3] => [[1,3],[2,4],[5,6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,2,6,3,1,4] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,2,6,3,4,1] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,2,6,4,1,3] => [[1,3],[2,4],[5,6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,2,6,4,3,1] => [[1,3],[2,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,3,2,1,4,6] => [[1,4,6],[2],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,3,2,1,6,4] => [[1,4],[2,6],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,3,2,4,1,6] => [[1,4,6],[2],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,3,2,4,6,1] => [[1,4,6],[2],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,3,2,6,1,4] => [[1,4],[2,6],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,3,2,6,4,1] => [[1,4],[2,6],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,3,4,2,1,6] => [[1,4,6],[2],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,3,4,2,6,1] => [[1,4,6],[2],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,3,4,6,2,1] => [[1,4,6],[2],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,3,6,2,1,4] => [[1,4],[2,6],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,3,6,2,4,1] => [[1,4],[2,6],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,3,6,4,2,1] => [[1,4],[2,6],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,4,1,2,3,6] => [[1,2,3,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,4,1,2,6,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,4,1,3,2,6] => [[1,2,6],[3],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,4,1,3,6,2] => [[1,2,6],[3],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,4,1,6,2,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,4,1,6,3,2] => [[1,2],[3,6],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,4,2,1,3,6] => [[1,3,6],[2],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,4,2,1,6,3] => [[1,3],[2,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,4,2,3,1,6] => [[1,3,6],[2],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,4,2,3,6,1] => [[1,3,6],[2],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,4,2,6,1,3] => [[1,3],[2,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,4,2,6,3,1] => [[1,3],[2,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,4,3,1,2,6] => [[1,2,6],[3],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,4,3,1,6,2] => [[1,2],[3,6],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,4,3,6,1,2] => [[1,2],[3,6],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,4,6,1,2,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,4,6,1,3,2] => [[1,2],[3,6],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,4,6,2,1,3] => [[1,3],[2,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,4,6,2,3,1] => [[1,3],[2,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,4,6,3,1,2] => [[1,2],[3,6],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,6,1,2,3,4] => [[1,2,3,4],[5,6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,6,1,2,4,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,6,1,4,2,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,6,1,4,3,2] => [[1,2],[3,6],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,6,2,1,3,4] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,6,2,1,4,3] => [[1,3],[2,4],[5,6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,6,2,3,1,4] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,6,2,3,4,1] => [[1,3,4],[2,6],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,6,2,4,1,3] => [[1,3],[2,4],[5,6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,6,2,4,3,1] => [[1,3],[2,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,6,3,2,1,4] => [[1,4],[2,6],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,6,3,2,4,1] => [[1,4],[2,6],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,6,3,4,2,1] => [[1,4],[2,6],[3],[5]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[5,6,4,1,2,3] => [[1,2,3],[4,6],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,6,4,1,3,2] => [[1,2],[3,6],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[5,6,4,2,1,3] => [[1,3],[2,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,6,4,2,3,1] => [[1,3],[2,6],[4],[5]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[5,6,4,3,1,2] => [[1,2],[3,6],[4],[5]] => [2,4] => ([(3,5),(4,5)],6) => 0
[6,1,2,3,4,5] => [[1,2,3,4,5],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,1,2,3,5,4] => [[1,2,3,4],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,1,2,5,3,4] => [[1,2,3,4],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,1,2,5,4,3] => [[1,2,3],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,1,5,2,3,4] => [[1,2,3,4],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,1,5,2,4,3] => [[1,2,3],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,1,5,4,2,3] => [[1,2,3],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,1,5,4,3,2] => [[1,2],[3],[4],[5],[6]] => [2,4] => ([(3,5),(4,5)],6) => 0
[6,2,1,3,4,5] => [[1,3,4,5],[2],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,2,1,3,5,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,2,1,5,3,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,2,1,5,4,3] => [[1,3],[2,4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,2,3,1,4,5] => [[1,3,4,5],[2],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,2,3,1,5,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,2,3,4,1,5] => [[1,3,4,5],[2],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,2,3,4,5,1] => [[1,3,4,5],[2],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,2,3,5,1,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,2,3,5,4,1] => [[1,3,4],[2],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,2,5,1,3,4] => [[1,3,4],[2,5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,2,5,1,4,3] => [[1,3],[2,4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,2,5,3,1,4] => [[1,3,4],[2],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,2,5,3,4,1] => [[1,3,4],[2],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,2,5,4,1,3] => [[1,3],[2,4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,2,5,4,3,1] => [[1,3],[2],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,3,2,1,4,5] => [[1,4,5],[2],[3],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,3,2,1,5,4] => [[1,4],[2,5],[3],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,3,2,4,1,5] => [[1,4,5],[2],[3],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,3,2,4,5,1] => [[1,4,5],[2],[3],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,3,2,5,1,4] => [[1,4],[2,5],[3],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,3,2,5,4,1] => [[1,4],[2,5],[3],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,3,4,2,1,5] => [[1,4,5],[2],[3],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,3,4,2,5,1] => [[1,4,5],[2],[3],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,3,4,5,2,1] => [[1,4,5],[2],[3],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,3,5,2,1,4] => [[1,4],[2,5],[3],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,3,5,2,4,1] => [[1,4],[2,5],[3],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,3,5,4,2,1] => [[1,4],[2],[3],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,4,3,2,1,5] => [[1,5],[2],[3],[4],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6]] => [5,1] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,5,1,2,3,4] => [[1,2,3,4],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,5,1,2,4,3] => [[1,2,3],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,5,1,4,2,3] => [[1,2,3],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,5,1,4,3,2] => [[1,2],[3],[4],[5],[6]] => [2,4] => ([(3,5),(4,5)],6) => 0
[6,5,2,1,3,4] => [[1,3,4],[2],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,5,2,1,4,3] => [[1,3],[2,4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,5,2,3,1,4] => [[1,3,4],[2],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,5,2,3,4,1] => [[1,3,4],[2],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,5,2,4,1,3] => [[1,3],[2,4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,5,2,4,3,1] => [[1,3],[2],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,5,3,2,1,4] => [[1,4],[2],[3],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,5,3,2,4,1] => [[1,4],[2],[3],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6]] => [4,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 0
[6,5,4,1,2,3] => [[1,2,3],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,5,4,1,3,2] => [[1,2],[3],[4],[5],[6]] => [2,4] => ([(3,5),(4,5)],6) => 0
[6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6]] => [3,3] => ([(2,5),(3,5),(4,5)],6) => 0
[6,5,4,3,1,2] => [[1,2],[3],[4],[5],[6]] => [2,4] => ([(3,5),(4,5)],6) => 0
[1,2,3,4,5,7,6] => [[1,2,3,4,5,6],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,4,6,5,7] => [[1,2,3,4,5,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,4,6,7,5] => [[1,2,3,4,5,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,4,7,5,6] => [[1,2,3,4,5,6],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,4,7,6,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,5,4,6,7] => [[1,2,3,4,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,5,6,4,7] => [[1,2,3,4,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,5,6,7,4] => [[1,2,3,4,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,6,4,5,7] => [[1,2,3,4,5,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,6,4,7,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,6,5,4,7] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,6,5,7,4] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,6,7,4,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,6,7,5,4] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,7,4,5,6] => [[1,2,3,4,5,6],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,7,4,6,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,7,6,4,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,3,7,6,5,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,4,3,5,6,7] => [[1,2,3,5,6,7],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,4,5,3,6,7] => [[1,2,3,5,6,7],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,4,5,6,3,7] => [[1,2,3,5,6,7],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,4,5,6,7,3] => [[1,2,3,5,6,7],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,5,3,4,6,7] => [[1,2,3,4,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,5,3,6,4,7] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,5,3,6,7,4] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,5,4,3,6,7] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,5,4,6,3,7] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,5,4,6,7,3] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,5,6,3,4,7] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,5,6,3,7,4] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,5,6,4,3,7] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,5,6,4,7,3] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,5,6,7,3,4] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,5,6,7,4,3] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,6,3,4,5,7] => [[1,2,3,4,5,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,6,3,4,7,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,6,3,5,4,7] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,6,3,5,7,4] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,6,3,7,4,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,6,3,7,5,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,6,5,3,4,7] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,6,5,3,7,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,6,5,4,3,7] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,6,5,4,7,3] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,6,5,7,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,6,5,7,4,3] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,6,7,3,4,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,6,7,3,5,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,6,7,5,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,6,7,5,4,3] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,2,7,3,4,5,6] => [[1,2,3,4,5,6],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,7,3,4,6,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,7,3,6,4,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,7,3,6,5,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,7,6,3,4,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,7,6,3,5,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,7,6,5,3,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,2,7,6,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,3,2,4,5,6,7] => [[1,2,4,5,6,7],[3]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,3,4,2,5,6,7] => [[1,2,4,5,6,7],[3]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,3,4,5,2,6,7] => [[1,2,4,5,6,7],[3]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,3,4,5,6,2,7] => [[1,2,4,5,6,7],[3]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,3,4,5,6,7,2] => [[1,2,4,5,6,7],[3]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,4,2,3,5,6,7] => [[1,2,3,5,6,7],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,4,2,5,3,6,7] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,4,2,5,6,3,7] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,4,2,5,6,7,3] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,4,3,2,5,6,7] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,4,3,5,2,6,7] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,4,3,5,6,2,7] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,4,3,5,6,7,2] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,4,5,2,3,6,7] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,4,5,2,6,3,7] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,4,5,2,6,7,3] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,4,5,3,2,6,7] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,4,5,3,6,2,7] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,4,5,3,6,7,2] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,4,5,6,2,3,7] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,4,5,6,2,7,3] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,4,5,6,3,2,7] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,4,5,6,3,7,2] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,4,5,6,7,2,3] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,4,5,6,7,3,2] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,5,2,3,4,6,7] => [[1,2,3,4,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,5,2,3,6,4,7] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,5,2,3,6,7,4] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,5,2,4,3,6,7] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,2,4,6,3,7] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,2,4,6,7,3] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,2,6,3,4,7] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,5,2,6,3,7,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,5,2,6,4,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,2,6,4,7,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,2,6,7,3,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,5,2,6,7,4,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,4,2,3,6,7] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,4,2,6,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,4,2,6,7,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,4,3,2,6,7] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,5,4,3,6,2,7] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,5,4,3,6,7,2] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,5,4,6,2,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,4,6,2,7,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,4,6,3,2,7] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,5,4,6,3,7,2] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,5,4,6,7,2,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,4,6,7,3,2] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,5,6,2,3,4,7] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,5,6,2,3,7,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,5,6,2,4,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,6,2,4,7,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,6,2,7,3,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,5,6,2,7,4,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,6,4,2,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,6,4,2,7,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,6,4,3,2,7] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,5,6,4,3,7,2] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,5,6,4,7,2,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,6,4,7,3,2] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,5,6,7,2,3,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,5,6,7,2,4,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,6,7,4,2,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,5,6,7,4,3,2] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,6,2,3,4,5,7] => [[1,2,3,4,5,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,2,3,4,7,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,2,3,5,4,7] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,2,3,5,7,4] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,2,3,7,4,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,2,3,7,5,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,2,5,3,4,7] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,2,5,3,7,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,2,5,4,3,7] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,2,5,4,7,3] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,2,5,7,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,2,5,7,4,3] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,2,7,3,4,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,2,7,3,5,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,2,7,5,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,2,7,5,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,5,2,3,4,7] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,5,2,3,7,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,5,2,4,3,7] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,5,2,4,7,3] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,5,2,7,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,5,2,7,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,5,4,2,3,7] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,5,4,2,7,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,5,4,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,6,5,4,3,7,2] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,6,5,4,7,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,5,4,7,3,2] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,6,5,7,2,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,5,7,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,5,7,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,5,7,4,3,2] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,6,7,2,3,4,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,7,2,3,5,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,7,2,5,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,7,2,5,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,7,5,2,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,6,7,5,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,7,5,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,6,7,5,4,3,2] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[1,7,2,3,4,5,6] => [[1,2,3,4,5,6],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,7,2,3,4,6,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,7,2,3,6,4,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,7,2,3,6,5,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,7,2,6,3,4,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,7,2,6,3,5,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,7,2,6,5,3,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,7,2,6,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,7,6,2,3,4,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,7,6,2,3,5,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,7,6,2,5,3,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,7,6,2,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,7,6,5,2,3,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[1,7,6,5,2,4,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,7,6,5,4,2,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[1,7,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => [2,5] => ([(4,6),(5,6)],7) => 0
[2,1,3,4,5,7,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,4,6,5,7] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,4,6,7,5] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,4,7,5,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,4,7,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,5,4,6,7] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,5,6,4,7] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,5,6,7,4] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,6,4,5,7] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,6,4,7,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,6,5,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,6,5,7,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,6,7,4,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,6,7,5,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,7,4,5,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,7,4,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,7,6,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,3,7,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,4,3,5,6,7] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,4,5,3,6,7] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,4,5,6,3,7] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,4,5,6,7,3] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,5,3,4,6,7] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,5,3,6,4,7] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,5,3,6,7,4] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,5,4,3,6,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,5,4,6,3,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,5,4,6,7,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,5,6,3,4,7] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,5,6,3,7,4] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,5,6,4,3,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,5,6,4,7,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,5,6,7,3,4] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,5,6,7,4,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,6,3,4,5,7] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,6,3,4,7,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,6,3,5,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,6,3,5,7,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,6,3,7,4,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,6,3,7,5,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,6,5,3,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,6,5,3,7,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,6,5,4,3,7] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,6,5,4,7,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,6,5,7,3,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,6,5,7,4,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,6,7,3,4,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,6,7,3,5,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,6,7,5,3,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,6,7,5,4,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,1,7,3,4,5,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,7,3,4,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,7,3,6,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,7,3,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,7,6,3,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,7,6,3,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,7,6,5,3,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,1,7,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,3,1,4,5,7,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,4,6,5,7] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,4,6,7,5] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,4,7,5,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,4,7,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,5,4,6,7] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,5,6,4,7] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,5,6,7,4] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,6,4,5,7] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,6,4,7,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,6,5,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,6,5,7,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,6,7,4,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,6,7,5,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,7,4,5,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,7,4,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,7,6,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,1,7,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,1,5,7,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,1,6,5,7] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,1,6,7,5] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,1,7,5,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,1,7,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,5,1,7,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,5,7,1,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,5,7,6,1] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,6,1,5,7] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,6,1,7,5] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,6,5,1,7] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,6,5,7,1] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,6,7,1,5] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,6,7,5,1] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,7,1,5,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,7,1,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,7,5,1,6] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,7,5,6,1] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,7,6,1,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,4,7,6,5,1] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,5,1,4,6,7] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,5,1,6,4,7] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,5,1,6,7,4] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,5,4,1,6,7] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,5,4,6,1,7] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,5,4,6,7,1] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,5,6,1,4,7] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,5,6,1,7,4] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,5,6,4,1,7] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,5,6,4,7,1] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,5,6,7,1,4] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,5,6,7,4,1] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,1,4,5,7] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,1,4,7,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,1,5,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,1,5,7,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,1,7,4,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,1,7,5,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,4,1,5,7] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,4,1,7,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,4,5,1,7] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,4,5,7,1] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,4,7,1,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,4,7,5,1] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,5,1,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,5,1,7,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,5,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,5,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,5,7,1,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,5,7,4,1] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,7,1,4,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,7,1,5,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,7,4,1,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,7,4,5,1] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,7,5,1,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,6,7,5,4,1] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,1,4,5,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,1,4,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,1,6,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,1,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,4,1,5,6] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,4,1,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,4,5,1,6] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,4,5,6,1] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,4,6,1,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,4,6,5,1] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,6,1,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,6,1,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,6,4,1,5] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,6,4,5,1] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,6,5,1,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,3,7,6,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,4,1,3,5,6,7] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,1,5,3,6,7] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,1,5,6,3,7] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,1,5,6,7,3] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,3,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,3,5,1,6,7] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,3,5,6,1,7] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,3,5,6,7,1] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,5,1,3,6,7] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,5,1,6,3,7] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,5,1,6,7,3] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,5,3,1,6,7] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,5,3,6,1,7] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,5,3,6,7,1] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,5,6,1,3,7] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,5,6,1,7,3] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,5,6,3,1,7] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,5,6,3,7,1] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,5,6,7,1,3] => [[1,3,5,6,7],[2,4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,4,5,6,7,3,1] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,1,3,4,6,7] => [[1,3,4,6,7],[2,5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,1,3,6,4,7] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,1,3,6,7,4] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,1,4,3,6,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,1,4,6,3,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,1,4,6,7,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,1,6,3,4,7] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,1,6,3,7,4] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,1,6,4,3,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,1,6,4,7,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,1,6,7,3,4] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,1,6,7,4,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,3,1,4,6,7] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,3,1,6,4,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,3,1,6,7,4] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,3,4,1,6,7] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,3,4,6,1,7] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,3,4,6,7,1] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,3,6,1,4,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,3,6,1,7,4] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,3,6,4,1,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,3,6,4,7,1] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,3,6,7,1,4] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,3,6,7,4,1] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,4,1,3,6,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,4,1,6,3,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,4,1,6,7,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,4,3,1,6,7] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,4,3,6,1,7] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,4,3,6,7,1] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,4,6,1,3,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,4,6,1,7,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,4,6,3,1,7] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,4,6,3,7,1] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,4,6,7,1,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,4,6,7,3,1] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,6,1,3,4,7] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,6,1,3,7,4] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,6,1,4,3,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,6,1,4,7,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,6,1,7,3,4] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,6,1,7,4,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,6,3,1,4,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,6,3,1,7,4] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,6,3,4,1,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,6,3,4,7,1] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,6,3,7,1,4] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,6,3,7,4,1] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,6,4,1,3,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,6,4,1,7,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,6,4,3,1,7] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,6,4,3,7,1] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,6,4,7,1,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,6,4,7,3,1] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,6,7,1,3,4] => [[1,3,4,7],[2,5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,6,7,1,4,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,6,7,3,1,4] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,6,7,3,4,1] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,5,6,7,4,1,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,5,6,7,4,3,1] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,1,3,4,5,7] => [[1,3,4,5,7],[2,6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,1,3,4,7,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,1,3,5,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,1,3,5,7,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,1,3,7,4,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,1,3,7,5,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,1,5,3,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,1,5,3,7,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,1,5,4,3,7] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,1,5,4,7,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,1,5,7,3,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,1,5,7,4,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,1,7,3,4,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,1,7,3,5,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,1,7,5,3,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,1,7,5,4,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,3,1,4,5,7] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,1,4,7,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,1,5,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,1,5,7,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,1,7,4,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,1,7,5,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,4,1,5,7] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,4,1,7,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,4,5,1,7] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,4,5,7,1] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,4,7,1,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,4,7,5,1] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,5,1,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,5,1,7,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,5,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,5,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,5,7,1,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,5,7,4,1] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,7,1,4,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,7,1,5,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,7,4,1,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,7,4,5,1] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,7,5,1,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,3,7,5,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,5,1,3,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,5,1,3,7,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,5,1,4,3,7] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,5,1,4,7,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,5,1,7,3,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,5,1,7,4,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,5,3,1,4,7] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,5,3,1,7,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,5,3,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,5,3,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,5,3,7,1,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,5,3,7,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,5,4,1,3,7] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,5,4,1,7,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,5,4,3,1,7] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,5,4,3,7,1] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,5,4,7,1,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,5,4,7,3,1] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,5,7,1,3,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,5,7,1,4,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,5,7,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,5,7,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,5,7,4,1,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,5,7,4,3,1] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,7,1,3,4,5] => [[1,3,4,5],[2,6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,7,1,3,5,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,7,1,5,3,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,7,1,5,4,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,7,3,1,4,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,7,3,1,5,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,7,3,4,1,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,7,3,4,5,1] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,7,3,5,1,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,7,3,5,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,7,5,1,3,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,7,5,1,4,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,7,5,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,7,5,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,6,7,5,4,1,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,6,7,5,4,3,1] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,7,1,3,4,5,6] => [[1,3,4,5,6],[2,7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,1,3,4,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,1,3,6,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,1,3,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,1,6,3,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,1,6,3,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,1,6,5,3,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,1,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,7,3,1,4,5,6] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,1,4,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,1,6,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,1,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,4,1,5,6] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,4,1,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,4,5,1,6] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,4,5,6,1] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,4,6,1,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,4,6,5,1] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,6,1,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,6,1,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,6,4,1,5] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,6,4,5,1] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,6,5,1,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,3,6,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,6,1,3,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,6,1,3,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,6,1,5,3,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,6,1,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,7,6,3,1,4,5] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,6,3,1,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,6,3,4,1,5] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,6,3,4,5,1] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,6,3,5,1,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,6,3,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,6,5,1,3,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,6,5,1,4,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,7,6,5,3,1,4] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,6,5,3,4,1] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[2,7,6,5,4,1,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[2,7,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[3,1,2,4,5,6,7] => [[1,2,4,5,6,7],[3]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,1,4,2,5,6,7] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,1,4,5,2,6,7] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,1,4,5,6,2,7] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,1,4,5,6,7,2] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,2,1,4,5,7,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,4,6,5,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,4,6,7,5] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,4,7,5,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,4,7,6,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,5,4,6,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,5,6,4,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,5,6,7,4] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,6,4,5,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,6,4,7,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,6,5,4,7] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,6,5,7,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,6,7,4,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,6,7,5,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,7,4,5,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,7,4,6,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,7,6,4,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,1,7,6,5,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,1,5,7,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,1,6,5,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,1,6,7,5] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,1,7,5,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,1,7,6,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,5,1,7,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,5,7,1,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,5,7,6,1] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,6,1,5,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,6,1,7,5] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,6,5,1,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,6,5,7,1] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,6,7,1,5] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,6,7,5,1] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,7,1,5,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,7,1,6,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,7,5,1,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,7,5,6,1] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,7,6,1,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,4,7,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,5,1,4,6,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,5,1,6,4,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,5,1,6,7,4] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,5,4,1,6,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,5,4,6,1,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,5,4,6,7,1] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,5,6,1,4,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,5,6,1,7,4] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,5,6,4,1,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,5,6,4,7,1] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,5,6,7,1,4] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,5,6,7,4,1] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,1,4,5,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,1,4,7,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,1,5,4,7] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,1,5,7,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,1,7,4,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,1,7,5,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,4,1,5,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,4,1,7,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,4,5,1,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,4,5,7,1] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,4,7,1,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,4,7,5,1] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,5,1,4,7] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,5,1,7,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,5,4,1,7] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,5,4,7,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,5,7,1,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,5,7,4,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,7,1,4,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,7,1,5,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,7,4,1,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,7,4,5,1] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,7,5,1,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,6,7,5,4,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,1,4,5,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,1,4,6,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,1,6,4,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,1,6,5,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,4,1,5,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,4,1,6,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,4,5,1,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,4,5,6,1] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,4,6,1,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,4,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,6,1,4,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,6,1,5,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,6,4,1,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,6,4,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,6,5,1,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,2,7,6,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,1,2,5,6,7] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,4,1,5,2,6,7] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,4,1,5,6,2,7] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,4,1,5,6,7,2] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,4,2,1,5,7,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,1,6,5,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,1,6,7,5] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,1,7,5,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,1,7,6,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,5,1,7,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,5,7,1,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,5,7,6,1] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,6,1,5,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,6,1,7,5] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,6,5,1,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,6,5,7,1] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,6,7,1,5] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,6,7,5,1] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,7,1,5,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,7,1,6,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,7,5,1,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,7,5,6,1] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,7,6,1,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,2,7,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,5,1,2,6,7] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,4,5,1,6,2,7] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,4,5,1,6,7,2] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,4,5,2,1,7,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,5,2,7,1,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,5,2,7,6,1] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,5,6,1,2,7] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,4,5,6,1,7,2] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,4,5,6,7,1,2] => [[1,2,5,6,7],[3,4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[3,4,5,7,2,1,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,5,7,2,6,1] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,5,7,6,2,1] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,6,2,1,5,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,6,2,1,7,5] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,6,2,5,1,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,6,2,5,7,1] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,6,2,7,1,5] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,6,2,7,5,1] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,6,5,2,1,7] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,6,5,2,7,1] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,6,5,7,2,1] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,6,7,2,1,5] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,6,7,2,5,1] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,6,7,5,2,1] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,7,2,1,5,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,7,2,1,6,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,7,2,5,1,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,7,2,5,6,1] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,7,2,6,1,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,7,2,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,7,5,2,1,6] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,7,5,2,6,1] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,7,5,6,2,1] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,7,6,2,1,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,7,6,2,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,4,7,6,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,2,1,4,6,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,2,1,6,4,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,2,1,6,7,4] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,2,4,1,6,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,2,4,6,1,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,2,4,6,7,1] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,2,6,1,4,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,2,6,1,7,4] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,2,6,4,1,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,2,6,4,7,1] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,2,6,7,1,4] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,2,6,7,4,1] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,4,2,1,6,7] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,4,2,6,1,7] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,4,2,6,7,1] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,4,6,2,1,7] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,4,6,2,7,1] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,4,6,7,2,1] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,6,2,1,4,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,6,2,1,7,4] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,6,2,4,1,7] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,6,2,4,7,1] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,6,2,7,1,4] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,6,2,7,4,1] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,6,4,2,1,7] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,6,4,2,7,1] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,6,4,7,2,1] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,6,7,2,1,4] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,6,7,2,4,1] => [[1,4,6,7],[2,5],[3]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,5,6,7,4,2,1] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,1,4,5,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,1,4,7,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,1,5,4,7] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,1,5,7,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,1,7,4,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,1,7,5,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,4,1,5,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,4,1,7,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,4,5,1,7] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,4,5,7,1] => [[1,4,5,7],[2,6],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,4,7,1,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,4,7,5,1] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,5,1,4,7] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,5,1,7,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,5,4,1,7] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,5,4,7,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,5,7,1,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,5,7,4,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,7,1,4,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,7,1,5,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,7,4,1,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,7,4,5,1] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,7,5,1,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,2,7,5,4,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,4,2,1,5,7] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,4,2,1,7,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,4,2,5,1,7] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,4,2,5,7,1] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,4,2,7,1,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,4,2,7,5,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,4,5,2,1,7] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,4,5,2,7,1] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,4,5,7,2,1] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,4,7,2,1,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,4,7,2,5,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,4,7,5,2,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,5,2,1,4,7] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,5,2,1,7,4] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,5,2,4,1,7] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,5,2,4,7,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,5,2,7,1,4] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,5,2,7,4,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,5,4,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,5,4,2,7,1] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,5,4,7,2,1] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,5,7,2,1,4] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,5,7,2,4,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,5,7,4,2,1] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,7,2,1,4,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,7,2,1,5,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,7,2,4,1,5] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,7,2,4,5,1] => [[1,4,5],[2,6,7],[3]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,7,2,5,1,4] => [[1,4,7],[2,5],[3,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,7,2,5,4,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,7,4,2,1,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,7,4,2,5,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,7,4,5,2,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,7,5,2,1,4] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,7,5,2,4,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,6,7,5,4,2,1] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,1,4,5,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,1,4,6,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,1,6,4,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,1,6,5,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,4,1,5,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,4,1,6,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,4,5,1,6] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,4,5,6,1] => [[1,4,5,6],[2,7],[3]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,4,6,1,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,4,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,6,1,4,5] => [[1,4,5],[2,6],[3,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,6,1,5,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,6,4,1,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,6,4,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,6,5,1,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,2,6,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,4,2,1,5,6] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,4,2,1,6,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,4,2,5,1,6] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,4,2,5,6,1] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,4,2,6,1,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,4,2,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,4,5,2,1,6] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,4,5,2,6,1] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,4,5,6,2,1] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,4,6,2,1,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,4,6,2,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,4,6,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,6,2,1,4,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,6,2,1,5,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,6,2,4,1,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,6,2,4,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,6,2,5,1,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,6,2,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,6,4,2,1,5] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,6,4,2,5,1] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,6,4,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,6,5,2,1,4] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,6,5,2,4,1] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[3,7,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,1,2,3,5,6,7] => [[1,2,3,5,6,7],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,1,2,5,3,6,7] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,1,2,5,6,3,7] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,1,2,5,6,7,3] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,1,3,2,5,6,7] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,1,3,5,2,6,7] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,1,3,5,6,2,7] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,1,3,5,6,7,2] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,1,5,2,3,6,7] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,1,5,2,6,3,7] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,1,5,2,6,7,3] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,1,5,3,2,6,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,1,5,3,6,2,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,1,5,3,6,7,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,1,5,6,2,3,7] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,1,5,6,2,7,3] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,1,5,6,3,2,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,1,5,6,3,7,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,1,5,6,7,2,3] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,1,5,6,7,3,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,2,1,3,5,6,7] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,1,5,3,6,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,1,5,6,3,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,1,5,6,7,3] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,3,1,5,6,7] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,3,5,1,6,7] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,3,5,6,1,7] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,3,5,6,7,1] => [[1,3,5,6,7],[2],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,5,1,3,6,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,5,1,6,3,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,5,1,6,7,3] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,5,3,1,6,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,5,3,6,1,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,5,3,6,7,1] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,5,6,1,3,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,5,6,1,7,3] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,5,6,3,1,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,5,6,3,7,1] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,5,6,7,1,3] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,2,5,6,7,3,1] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,3,1,2,5,6,7] => [[1,2,5,6,7],[3],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,3,1,5,2,6,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,3,1,5,6,2,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,3,1,5,6,7,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,3,2,1,5,7,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,1,6,5,7] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,1,6,7,5] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,1,7,5,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,1,7,6,5] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,5,1,7,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,5,7,1,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,5,7,6,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,6,1,5,7] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,6,1,7,5] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,6,5,1,7] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,6,5,7,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,6,7,1,5] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,6,7,5,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,7,1,5,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,7,1,6,5] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,7,5,1,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,7,5,6,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,7,6,1,5] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,2,7,6,5,1] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,5,1,2,6,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,3,5,1,6,2,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,3,5,1,6,7,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,3,5,2,1,7,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,5,2,7,1,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,5,2,7,6,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,5,6,1,2,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,3,5,6,1,7,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,3,5,6,7,1,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,3,5,7,2,1,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,5,7,2,6,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,5,7,6,2,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,6,2,1,5,7] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,6,2,1,7,5] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,6,2,5,1,7] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,6,2,5,7,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,6,2,7,1,5] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,6,2,7,5,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,6,5,2,1,7] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,6,5,2,7,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,6,5,7,2,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,6,7,2,1,5] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,6,7,2,5,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,6,7,5,2,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,7,2,1,5,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,7,2,1,6,5] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,7,2,5,1,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,7,2,5,6,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,7,2,6,1,5] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,7,2,6,5,1] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,7,5,2,1,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,7,5,2,6,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,7,5,6,2,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,7,6,2,1,5] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,7,6,2,5,1] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,3,7,6,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,5,1,2,3,6,7] => [[1,2,3,6,7],[4,5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,1,2,6,3,7] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,1,2,6,7,3] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,1,3,2,6,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,1,3,6,2,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,1,3,6,7,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,1,6,2,3,7] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,1,6,2,7,3] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,1,6,3,2,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,1,6,3,7,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,1,6,7,2,3] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,1,6,7,3,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,2,1,3,6,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,2,1,6,3,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,2,1,6,7,3] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,2,3,1,6,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,2,3,6,1,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,2,3,6,7,1] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,2,6,1,3,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,2,6,1,7,3] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,2,6,3,1,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,2,6,3,7,1] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,2,6,7,1,3] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,2,6,7,3,1] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,3,1,2,6,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,3,1,6,2,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,3,1,6,7,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,3,2,1,7,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,5,3,2,7,1,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,5,3,2,7,6,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,5,3,6,1,2,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,3,6,1,7,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,3,6,7,1,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,3,7,2,1,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,5,3,7,2,6,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,5,3,7,6,2,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,5,6,1,2,3,7] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,6,1,2,7,3] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,6,1,3,2,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,6,1,3,7,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,6,1,7,2,3] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,6,1,7,3,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,6,2,1,3,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,6,2,1,7,3] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,6,2,3,1,7] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,6,2,3,7,1] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,6,2,7,1,3] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,6,2,7,3,1] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,6,3,1,2,7] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,6,3,1,7,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,6,3,7,1,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,6,7,1,2,3] => [[1,2,3,7],[4,5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,6,7,1,3,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,6,7,2,1,3] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,6,7,2,3,1] => [[1,3,6,7],[2,5],[4]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[4,5,6,7,3,1,2] => [[1,2,6,7],[3,5],[4]] => [2,5] => ([(4,6),(5,6)],7) => 0
[4,5,7,3,2,1,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,5,7,3,2,6,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,5,7,3,6,2,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,5,7,6,3,2,1] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,3,2,1,5,7] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,3,2,1,7,5] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,3,2,5,1,7] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,3,2,5,7,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,3,2,7,1,5] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,3,2,7,5,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,3,5,2,1,7] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,3,5,2,7,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,3,5,7,2,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,3,7,2,1,5] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,3,7,2,5,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,3,7,5,2,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,5,3,2,1,7] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,5,3,2,7,1] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,5,3,7,2,1] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,5,7,3,2,1] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,7,3,2,1,5] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,7,3,2,5,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,7,3,5,2,1] => [[1,5,7],[2,6],[3],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,6,7,5,3,2,1] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,3,2,1,5,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,3,2,1,6,5] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,3,2,5,1,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,3,2,5,6,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,3,2,6,1,5] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,3,2,6,5,1] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,3,5,2,1,6] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,3,5,2,6,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,3,5,6,2,1] => [[1,5,6],[2,7],[3],[4]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,3,6,2,1,5] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,3,6,2,5,1] => [[1,5],[2,6],[3,7],[4]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,3,6,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,5,3,2,1,6] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,5,3,2,6,1] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,5,3,6,2,1] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,5,6,3,2,1] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,6,3,2,1,5] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,6,3,2,5,1] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,6,3,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[4,7,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,1,2,3,4,6,7] => [[1,2,3,4,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,1,2,3,6,4,7] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,1,2,3,6,7,4] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,1,2,4,3,6,7] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,2,4,6,3,7] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,2,4,6,7,3] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,2,6,3,4,7] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,1,2,6,3,7,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,1,2,6,4,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,2,6,4,7,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,2,6,7,3,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,1,2,6,7,4,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,4,2,3,6,7] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,4,2,6,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,4,2,6,7,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,4,3,2,6,7] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,1,4,3,6,2,7] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,1,4,3,6,7,2] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,1,4,6,2,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,4,6,2,7,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,4,6,3,2,7] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,1,4,6,3,7,2] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,1,4,6,7,2,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,4,6,7,3,2] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,1,6,2,3,4,7] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,1,6,2,3,7,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,1,6,2,4,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,6,2,4,7,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,6,2,7,3,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,1,6,2,7,4,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,6,4,2,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,6,4,2,7,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,6,4,3,2,7] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,1,6,4,3,7,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,1,6,4,7,2,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,6,4,7,3,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,1,6,7,2,3,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,1,6,7,2,4,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,6,7,4,2,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,1,6,7,4,3,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,2,1,3,4,6,7] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,1,3,6,4,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,1,3,6,7,4] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,1,4,3,6,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,1,4,6,3,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,1,4,6,7,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,1,6,3,4,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,1,6,3,7,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,1,6,4,3,7] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,1,6,4,7,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,1,6,7,3,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,1,6,7,4,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,3,1,4,6,7] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,3,1,6,4,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,3,1,6,7,4] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,3,4,1,6,7] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,3,4,6,1,7] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,3,4,6,7,1] => [[1,3,4,6,7],[2],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,3,6,1,4,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,3,6,1,7,4] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,3,6,4,1,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,3,6,4,7,1] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,3,6,7,1,4] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,3,6,7,4,1] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,4,1,3,6,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,4,1,6,3,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,4,1,6,7,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,4,3,1,6,7] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,4,3,6,1,7] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,4,3,6,7,1] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,4,6,1,3,7] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,4,6,1,7,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,4,6,3,1,7] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,4,6,3,7,1] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,4,6,7,1,3] => [[1,3,6,7],[2,4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,4,6,7,3,1] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,6,1,3,4,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,6,1,3,7,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,6,1,4,3,7] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,6,1,4,7,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,6,1,7,3,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,6,1,7,4,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,6,3,1,4,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,6,3,1,7,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,6,3,4,1,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,6,3,4,7,1] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,6,3,7,1,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,6,3,7,4,1] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,6,4,1,3,7] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,6,4,1,7,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,6,4,3,1,7] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,6,4,3,7,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,6,4,7,1,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,6,4,7,3,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,6,7,1,3,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,6,7,1,4,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,6,7,3,1,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,6,7,3,4,1] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,2,6,7,4,1,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,2,6,7,4,3,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,3,2,1,4,6,7] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,2,1,6,4,7] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,2,1,6,7,4] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,2,4,1,6,7] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,2,4,6,1,7] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,2,4,6,7,1] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,2,6,1,4,7] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,2,6,1,7,4] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,2,6,4,1,7] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,2,6,4,7,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,2,6,7,1,4] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,2,6,7,4,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,4,2,1,6,7] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,4,2,6,1,7] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,4,2,6,7,1] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,4,6,2,1,7] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,4,6,2,7,1] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,4,6,7,2,1] => [[1,4,6,7],[2],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,6,2,1,4,7] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,6,2,1,7,4] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,6,2,4,1,7] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,6,2,4,7,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,6,2,7,1,4] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,6,2,7,4,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,6,4,2,1,7] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,6,4,2,7,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,6,4,7,2,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,6,7,2,1,4] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,6,7,2,4,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,3,6,7,4,2,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,4,1,2,3,6,7] => [[1,2,3,6,7],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,1,2,6,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,1,2,6,7,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,1,3,2,6,7] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,1,3,6,2,7] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,1,3,6,7,2] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,1,6,2,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,1,6,2,7,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,1,6,3,2,7] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,1,6,3,7,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,1,6,7,2,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,1,6,7,3,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,2,1,3,6,7] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,2,1,6,3,7] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,2,1,6,7,3] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,2,3,1,6,7] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,2,3,6,1,7] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,2,3,6,7,1] => [[1,3,6,7],[2],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,2,6,1,3,7] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,2,6,1,7,3] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,2,6,3,1,7] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,2,6,3,7,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,2,6,7,1,3] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,2,6,7,3,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,3,1,2,6,7] => [[1,2,6,7],[3],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,3,1,6,2,7] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,3,1,6,7,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,3,2,1,7,6] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,4,3,2,7,1,6] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,4,3,2,7,6,1] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,4,3,6,1,2,7] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,3,6,1,7,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,3,6,7,1,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,3,7,2,1,6] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,4,3,7,2,6,1] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,4,3,7,6,2,1] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,4,6,1,2,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,6,1,2,7,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,6,1,3,2,7] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,6,1,3,7,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,6,1,7,2,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,6,1,7,3,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,6,2,1,3,7] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,6,2,1,7,3] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,6,2,3,1,7] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,6,2,3,7,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,6,2,7,1,3] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,6,2,7,3,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,6,3,1,2,7] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,6,3,1,7,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,6,3,7,1,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,6,7,1,2,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,6,7,1,3,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,6,7,2,1,3] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,6,7,2,3,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,4,6,7,3,1,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,4,7,3,2,1,6] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,4,7,3,2,6,1] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,4,7,3,6,2,1] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,4,7,6,3,2,1] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,1,2,3,4,7] => [[1,2,3,4,7],[5,6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,1,2,3,7,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,1,2,4,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,1,2,4,7,3] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,1,2,7,3,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,1,2,7,4,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,1,4,2,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,1,4,2,7,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,1,4,3,2,7] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,1,4,3,7,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,1,4,7,2,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,1,4,7,3,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,1,7,2,3,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,1,7,2,4,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,1,7,4,2,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,1,7,4,3,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,2,1,3,4,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,2,1,3,7,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,2,1,4,3,7] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,2,1,4,7,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,2,1,7,3,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,2,1,7,4,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,2,3,1,4,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,2,3,1,7,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,2,3,4,1,7] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,2,3,4,7,1] => [[1,3,4,7],[2,6],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,2,3,7,1,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,2,3,7,4,1] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,2,4,1,3,7] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,2,4,1,7,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,2,4,3,1,7] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,2,4,3,7,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,2,4,7,1,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,2,4,7,3,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,2,7,1,3,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,2,7,1,4,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,2,7,3,1,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,2,7,3,4,1] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,2,7,4,1,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,2,7,4,3,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,3,2,1,4,7] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,3,2,1,7,4] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,3,2,4,1,7] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,3,2,4,7,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,3,2,7,1,4] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,3,2,7,4,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,3,4,2,1,7] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,3,4,2,7,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,3,4,7,2,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,3,7,2,1,4] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,3,7,2,4,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,3,7,4,2,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,4,1,2,3,7] => [[1,2,3,7],[4,6],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,4,1,2,7,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,4,1,3,2,7] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,4,1,3,7,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,4,1,7,2,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,4,1,7,3,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,4,2,1,3,7] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,4,2,1,7,3] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,4,2,3,1,7] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,4,2,3,7,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,4,2,7,1,3] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,4,2,7,3,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,4,3,1,2,7] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,4,3,1,7,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,4,3,7,1,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,4,7,1,2,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,4,7,1,3,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,4,7,2,1,3] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,4,7,2,3,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,4,7,3,1,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,7,1,2,3,4] => [[1,2,3,4],[5,6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,7,1,2,4,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,7,1,4,2,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,7,1,4,3,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,7,2,1,3,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,7,2,1,4,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,7,2,3,1,4] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,7,2,3,4,1] => [[1,3,4],[2,6,7],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,7,2,4,1,3] => [[1,3,7],[2,4],[5,6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,7,2,4,3,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,7,3,2,1,4] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,7,3,2,4,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,7,3,4,2,1] => [[1,4,7],[2,6],[3],[5]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,6,7,4,1,2,3] => [[1,2,3],[4,6,7],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,7,4,1,3,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,6,7,4,2,1,3] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,7,4,2,3,1] => [[1,3,7],[2,6],[4],[5]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[5,6,7,4,3,1,2] => [[1,2,7],[3,6],[4],[5]] => [2,5] => ([(4,6),(5,6)],7) => 0
[5,7,4,3,2,1,6] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,7,4,3,2,6,1] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,7,4,3,6,2,1] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,7,4,6,3,2,1] => [[1,6],[2,7],[3],[4],[5]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[5,7,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,2,3,4,5,7] => [[1,2,3,4,5,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,2,3,4,7,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,2,3,5,4,7] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,2,3,5,7,4] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,2,3,7,4,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,2,3,7,5,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,2,5,3,4,7] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,2,5,3,7,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,2,5,4,3,7] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,2,5,4,7,3] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,2,5,7,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,2,5,7,4,3] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,2,7,3,4,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,2,7,3,5,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,2,7,5,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,2,7,5,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,5,2,3,4,7] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,5,2,3,7,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,5,2,4,3,7] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,5,2,4,7,3] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,5,2,7,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,5,2,7,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,5,4,2,3,7] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,5,4,2,7,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,5,4,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,1,5,4,3,7,2] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,1,5,4,7,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,5,4,7,3,2] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,1,5,7,2,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,5,7,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,5,7,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,5,7,4,3,2] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,1,7,2,3,4,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,7,2,3,5,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,7,2,5,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,7,2,5,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,7,5,2,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,1,7,5,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,7,5,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,1,7,5,4,3,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,2,1,3,4,5,7] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,1,3,4,7,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,1,3,5,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,1,3,5,7,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,1,3,7,4,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,1,3,7,5,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,1,5,3,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,1,5,3,7,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,1,5,4,3,7] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,1,5,4,7,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,1,5,7,3,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,1,5,7,4,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,1,7,3,4,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,1,7,3,5,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,1,7,5,3,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,1,7,5,4,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,3,1,4,5,7] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,1,4,7,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,1,5,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,1,5,7,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,1,7,4,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,1,7,5,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,4,1,5,7] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,4,1,7,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,4,5,1,7] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,4,5,7,1] => [[1,3,4,5,7],[2],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,4,7,1,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,4,7,5,1] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,5,1,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,5,1,7,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,5,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,5,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,5,7,1,4] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,5,7,4,1] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,7,1,4,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,7,1,5,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,7,4,1,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,7,4,5,1] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,7,5,1,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,3,7,5,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,5,1,3,4,7] => [[1,3,4,7],[2,5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,5,1,3,7,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,5,1,4,3,7] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,5,1,4,7,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,5,1,7,3,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,5,1,7,4,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,5,3,1,4,7] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,5,3,1,7,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,5,3,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,5,3,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,5,3,7,1,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,5,3,7,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,5,4,1,3,7] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,5,4,1,7,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,5,4,3,1,7] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,5,4,3,7,1] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,5,4,7,1,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,5,4,7,3,1] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,5,7,1,3,4] => [[1,3,4],[2,5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,5,7,1,4,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,5,7,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,5,7,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,5,7,4,1,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,5,7,4,3,1] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,7,1,3,4,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,7,1,3,5,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,7,1,5,3,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,7,1,5,4,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,7,3,1,4,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,7,3,1,5,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,7,3,4,1,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,7,3,4,5,1] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,7,3,5,1,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,7,3,5,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,7,5,1,3,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,7,5,1,4,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,7,5,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,7,5,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,2,7,5,4,1,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,2,7,5,4,3,1] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,3,2,1,4,5,7] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,1,4,7,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,1,5,4,7] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,1,5,7,4] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,1,7,4,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,1,7,5,4] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,4,1,5,7] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,4,1,7,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,4,5,1,7] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,4,5,7,1] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,4,7,1,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,4,7,5,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,5,1,4,7] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,5,1,7,4] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,5,4,1,7] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,5,4,7,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,5,7,1,4] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,5,7,4,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,7,1,4,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,7,1,5,4] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,7,4,1,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,7,4,5,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,7,5,1,4] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,2,7,5,4,1] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,4,2,1,5,7] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,4,2,1,7,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,4,2,5,1,7] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,4,2,5,7,1] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,4,2,7,1,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,4,2,7,5,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,4,5,2,1,7] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,4,5,2,7,1] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,4,5,7,2,1] => [[1,4,5,7],[2],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,4,7,2,1,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,4,7,2,5,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,4,7,5,2,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,5,2,1,4,7] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,5,2,1,7,4] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,5,2,4,1,7] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,5,2,4,7,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,5,2,7,1,4] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,5,2,7,4,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,5,4,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,5,4,2,7,1] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,5,4,7,2,1] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,5,7,2,1,4] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,5,7,2,4,1] => [[1,4,7],[2,5],[3],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,5,7,4,2,1] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,7,2,1,4,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,7,2,1,5,4] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,7,2,4,1,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,7,2,4,5,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,7,2,5,1,4] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,7,2,5,4,1] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,7,4,2,1,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,7,4,2,5,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,7,4,5,2,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,7,5,2,1,4] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,7,5,2,4,1] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,3,7,5,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,3,2,1,5,7] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,3,2,1,7,5] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,3,2,5,1,7] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,3,2,5,7,1] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,3,2,7,1,5] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,3,2,7,5,1] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,3,5,2,1,7] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,3,5,2,7,1] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,3,5,7,2,1] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,3,7,2,1,5] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,3,7,2,5,1] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,3,7,5,2,1] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,5,3,2,1,7] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,5,3,2,7,1] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,5,3,7,2,1] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,5,7,3,2,1] => [[1,5,7],[2],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,7,3,2,1,5] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,7,3,2,5,1] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,7,3,5,2,1] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,4,7,5,3,2,1] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,1,2,3,4,7] => [[1,2,3,4,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,1,2,3,7,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,1,2,4,3,7] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,1,2,4,7,3] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,1,2,7,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,1,2,7,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,1,4,2,3,7] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,1,4,2,7,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,1,4,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,1,4,3,7,2] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,1,4,7,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,1,4,7,3,2] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,1,7,2,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,1,7,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,1,7,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,1,7,4,3,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,2,1,3,4,7] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,2,1,3,7,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,2,1,4,3,7] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,2,1,4,7,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,2,1,7,3,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,2,1,7,4,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,2,3,1,4,7] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,2,3,1,7,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,2,3,4,1,7] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,2,3,4,7,1] => [[1,3,4,7],[2],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,2,3,7,1,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,2,3,7,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,2,4,1,3,7] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,2,4,1,7,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,2,4,3,1,7] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,2,4,3,7,1] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,2,4,7,1,3] => [[1,3,7],[2,4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,2,4,7,3,1] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,2,7,1,3,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,2,7,1,4,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,2,7,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,2,7,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,2,7,4,1,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,2,7,4,3,1] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,3,2,1,4,7] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,3,2,1,7,4] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,3,2,4,1,7] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,3,2,4,7,1] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,3,2,7,1,4] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,3,2,7,4,1] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,3,4,2,1,7] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,3,4,2,7,1] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,3,4,7,2,1] => [[1,4,7],[2],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,3,7,2,1,4] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,3,7,2,4,1] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,3,7,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,4,1,2,3,7] => [[1,2,3,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,4,1,2,7,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,4,1,3,2,7] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,4,1,3,7,2] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,4,1,7,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,4,1,7,3,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,4,2,1,3,7] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,4,2,1,7,3] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,4,2,3,1,7] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,4,2,3,7,1] => [[1,3,7],[2],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,4,2,7,1,3] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,4,2,7,3,1] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,4,3,1,2,7] => [[1,2,7],[3],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,4,3,1,7,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,4,3,7,1,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,4,7,1,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,4,7,1,3,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,4,7,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,4,7,2,3,1] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,4,7,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,7,1,2,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,7,1,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,7,1,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,7,1,4,3,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,7,2,1,3,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,7,2,1,4,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,7,2,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,7,2,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,7,2,4,1,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,7,2,4,3,1] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,7,3,2,1,4] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,7,3,2,4,1] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,7,3,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,5,7,4,1,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,7,4,1,3,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,5,7,4,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,7,4,2,3,1] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,5,7,4,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,7,1,2,3,4,5] => [[1,2,3,4,5],[6,7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,1,2,3,5,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,1,2,5,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,1,2,5,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,1,5,2,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,1,5,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,1,5,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,1,5,4,3,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,7,2,1,3,4,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,2,1,3,5,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,2,1,5,3,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,2,1,5,4,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,2,3,1,4,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,2,3,1,5,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,2,3,4,1,5] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,2,3,4,5,1] => [[1,3,4,5],[2,7],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,2,3,5,1,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,2,3,5,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,2,5,1,3,4] => [[1,3,4],[2,5],[6,7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,2,5,1,4,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,2,5,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,2,5,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,2,5,4,1,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,2,5,4,3,1] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,3,2,1,4,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,3,2,1,5,4] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,3,2,4,1,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,3,2,4,5,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,3,2,5,1,4] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,3,2,5,4,1] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,3,4,2,1,5] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,3,4,2,5,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,3,4,5,2,1] => [[1,4,5],[2,7],[3],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,3,5,2,1,4] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,3,5,2,4,1] => [[1,4],[2,5],[3,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,3,5,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,4,3,2,1,5] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,4,3,2,5,1] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,4,3,5,2,1] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,4,5,3,2,1] => [[1,5],[2,7],[3],[4],[6]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,5,1,2,3,4] => [[1,2,3,4],[5,7],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,5,1,2,4,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,5,1,4,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,5,1,4,3,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,7,5,2,1,3,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,5,2,1,4,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,5,2,3,1,4] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,5,2,3,4,1] => [[1,3,4],[2,7],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,5,2,4,1,3] => [[1,3],[2,4],[5,7],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,5,2,4,3,1] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,5,3,2,1,4] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,5,3,2,4,1] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,5,3,4,2,1] => [[1,4],[2,7],[3],[5],[6]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[6,7,5,4,1,2,3] => [[1,2,3],[4,7],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,5,4,1,3,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[6,7,5,4,2,1,3] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,5,4,2,3,1] => [[1,3],[2,7],[4],[5],[6]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[6,7,5,4,3,1,2] => [[1,2],[3,7],[4],[5],[6]] => [2,5] => ([(4,6),(5,6)],7) => 0
[7,1,2,3,4,5,6] => [[1,2,3,4,5,6],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,1,2,3,4,6,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,1,2,3,6,4,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,1,2,3,6,5,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,1,2,6,3,4,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,1,2,6,3,5,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,1,2,6,5,3,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,1,2,6,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,1,6,2,3,4,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,1,6,2,3,5,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,1,6,2,5,3,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,1,6,2,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,1,6,5,2,3,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,1,6,5,2,4,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,1,6,5,4,2,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,1,6,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => [2,5] => ([(4,6),(5,6)],7) => 0
[7,2,1,3,4,5,6] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,1,3,4,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,1,3,6,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,1,3,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,1,6,3,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,1,6,3,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,1,6,5,3,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,1,6,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,2,3,1,4,5,6] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,1,4,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,1,6,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,1,6,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,4,1,5,6] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,4,1,6,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,4,5,1,6] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,4,5,6,1] => [[1,3,4,5,6],[2],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,4,6,1,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,4,6,5,1] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,6,1,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,6,1,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,6,4,1,5] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,6,4,5,1] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,6,5,1,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,3,6,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,6,1,3,4,5] => [[1,3,4,5],[2,6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,6,1,3,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,6,1,5,3,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,6,1,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,2,6,3,1,4,5] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,6,3,1,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,6,3,4,1,5] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,6,3,4,5,1] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,6,3,5,1,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,6,3,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,6,5,1,3,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,6,5,1,4,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,2,6,5,3,1,4] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,6,5,3,4,1] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,2,6,5,4,1,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,2,6,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,3,2,1,4,5,6] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,1,4,6,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,1,6,4,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,1,6,5,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,4,1,5,6] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,4,1,6,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,4,5,1,6] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,4,5,6,1] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,4,6,1,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,4,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,6,1,4,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,6,1,5,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,6,4,1,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,6,4,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,6,5,1,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,2,6,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,4,2,1,5,6] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,4,2,1,6,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,4,2,5,1,6] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,4,2,5,6,1] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,4,2,6,1,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,4,2,6,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,4,5,2,1,6] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,4,5,2,6,1] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,4,5,6,2,1] => [[1,4,5,6],[2],[3],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,4,6,2,1,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,4,6,2,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,4,6,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,6,2,1,4,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,6,2,1,5,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,6,2,4,1,5] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,6,2,4,5,1] => [[1,4,5],[2,6],[3],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,6,2,5,1,4] => [[1,4],[2,5],[3,6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,6,2,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,6,4,2,1,5] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,6,4,2,5,1] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,6,4,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,6,5,2,1,4] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,6,5,2,4,1] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,3,6,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,3,2,1,5,6] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,3,2,1,6,5] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,3,2,5,1,6] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,3,2,5,6,1] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,3,2,6,1,5] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,3,2,6,5,1] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,3,5,2,1,6] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,3,5,2,6,1] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,3,5,6,2,1] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,3,6,2,1,5] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,3,6,2,5,1] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,3,6,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,5,3,2,1,6] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,5,3,2,6,1] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,5,3,6,2,1] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,5,6,3,2,1] => [[1,5,6],[2],[3],[4],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,6,3,2,1,5] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,6,3,2,5,1] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,6,3,5,2,1] => [[1,5],[2,6],[3],[4],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,4,6,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,5,4,3,2,1,6] => [[1,6],[2],[3],[4],[5],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,5,4,3,2,6,1] => [[1,6],[2],[3],[4],[5],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,5,4,3,6,2,1] => [[1,6],[2],[3],[4],[5],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,5,4,6,3,2,1] => [[1,6],[2],[3],[4],[5],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,5,6,4,3,2,1] => [[1,6],[2],[3],[4],[5],[7]] => [6,1] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,1,2,3,4,5] => [[1,2,3,4,5],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,1,2,3,5,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,1,2,5,3,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,1,2,5,4,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,1,5,2,3,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,1,5,2,4,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,1,5,4,2,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,1,5,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => [2,5] => ([(4,6),(5,6)],7) => 0
[7,6,2,1,3,4,5] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,2,1,3,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,2,1,5,3,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,2,1,5,4,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,2,3,1,4,5] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,2,3,1,5,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,2,3,4,1,5] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,2,3,4,5,1] => [[1,3,4,5],[2],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,2,3,5,1,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,2,3,5,4,1] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,2,5,1,3,4] => [[1,3,4],[2,5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,2,5,1,4,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,2,5,3,1,4] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,2,5,3,4,1] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,2,5,4,1,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,2,5,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,3,2,1,4,5] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,3,2,1,5,4] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,3,2,4,1,5] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,3,2,4,5,1] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,3,2,5,1,4] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,3,2,5,4,1] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,3,4,2,1,5] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,3,4,2,5,1] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,3,4,5,2,1] => [[1,4,5],[2],[3],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,3,5,2,1,4] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,3,5,2,4,1] => [[1,4],[2,5],[3],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,3,5,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,4,3,2,1,5] => [[1,5],[2],[3],[4],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,4,3,2,5,1] => [[1,5],[2],[3],[4],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,4,3,5,2,1] => [[1,5],[2],[3],[4],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,4,5,3,2,1] => [[1,5],[2],[3],[4],[6],[7]] => [5,2] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,5,1,2,3,4] => [[1,2,3,4],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,5,1,2,4,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,5,1,4,2,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,5,1,4,3,2] => [[1,2],[3],[4],[5],[6],[7]] => [2,5] => ([(4,6),(5,6)],7) => 0
[7,6,5,2,1,3,4] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,5,2,1,4,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,5,2,3,1,4] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,5,2,3,4,1] => [[1,3,4],[2],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,5,2,4,1,3] => [[1,3],[2,4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,5,2,4,3,1] => [[1,3],[2],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,5,3,2,1,4] => [[1,4],[2],[3],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,5,3,2,4,1] => [[1,4],[2],[3],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,5,3,4,2,1] => [[1,4],[2],[3],[5],[6],[7]] => [4,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 0
[7,6,5,4,1,2,3] => [[1,2,3],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,5,4,1,3,2] => [[1,2],[3],[4],[5],[6],[7]] => [2,5] => ([(4,6),(5,6)],7) => 0
[7,6,5,4,2,1,3] => [[1,3],[2],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,5,4,2,3,1] => [[1,3],[2],[4],[5],[6],[7]] => [3,4] => ([(3,6),(4,6),(5,6)],7) => 0
[7,6,5,4,3,1,2] => [[1,2],[3],[4],[5],[6],[7]] => [2,5] => ([(4,6),(5,6)],7) => 0
search for individual values
searching the database for the individual values of this statistic
Description
The second largest eigenvalue of a graph if it is integral.
This statistic is undefined if the second largest eigenvalue of the graph is not integral.
Chapter 4 of [1] provides lots of context.
This statistic is undefined if the second largest eigenvalue of the graph is not integral.
Chapter 4 of [1] provides lots of context.
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.
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
Robinson-Schensted insertion tableau
Description
Sends a permutation to its Robinson-Schensted insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
The Robinson-Schensted corrspondence is a bijection between permutations of length $n$ and pairs of standard Young tableaux of the same shape and of size $n$, see [1]. These two tableaux are the insertion tableau and the recording tableau.
This map sends a permutation to its corresponding insertion tableau.
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