Identifier
-
Mp00080:
Set partitions
—to permutation⟶
Permutations
Mp00061: Permutations —to increasing tree⟶ Binary trees
Mp00013: Binary trees —to poset⟶ Posets
St000845: Posets ⟶ ℤ
Values
{{1}} => [1] => [.,.] => ([],1) => 0
{{1,2}} => [2,1] => [[.,.],.] => ([(0,1)],2) => 1
{{1},{2}} => [1,2] => [.,[.,.]] => ([(0,1)],2) => 1
{{1,2,3}} => [2,3,1] => [[.,[.,.]],.] => ([(0,2),(2,1)],3) => 1
{{1,2},{3}} => [2,1,3] => [[.,.],[.,.]] => ([(0,2),(1,2)],3) => 1
{{1,3},{2}} => [3,2,1] => [[[.,.],.],.] => ([(0,2),(2,1)],3) => 1
{{1},{2,3}} => [1,3,2] => [.,[[.,.],.]] => ([(0,2),(2,1)],3) => 1
{{1},{2},{3}} => [1,2,3] => [.,[.,[.,.]]] => ([(0,2),(2,1)],3) => 1
{{1,2,3,4}} => [2,3,4,1] => [[.,[.,[.,.]]],.] => ([(0,3),(2,1),(3,2)],4) => 1
{{1,2,3},{4}} => [2,3,1,4] => [[.,[.,.]],[.,.]] => ([(0,3),(1,2),(2,3)],4) => 1
{{1,2,4},{3}} => [2,4,3,1] => [[.,[[.,.],.]],.] => ([(0,3),(2,1),(3,2)],4) => 1
{{1,2},{3,4}} => [2,1,4,3] => [[.,.],[[.,.],.]] => ([(0,3),(1,2),(2,3)],4) => 1
{{1,2},{3},{4}} => [2,1,3,4] => [[.,.],[.,[.,.]]] => ([(0,3),(1,2),(2,3)],4) => 1
{{1,3,4},{2}} => [3,2,4,1] => [[[.,.],[.,.]],.] => ([(0,3),(1,3),(3,2)],4) => 1
{{1,3},{2,4}} => [3,4,1,2] => [[.,[.,.]],[.,.]] => ([(0,3),(1,2),(2,3)],4) => 1
{{1,3},{2},{4}} => [3,2,1,4] => [[[.,.],.],[.,.]] => ([(0,3),(1,2),(2,3)],4) => 1
{{1,4},{2,3}} => [4,3,2,1] => [[[[.,.],.],.],.] => ([(0,3),(2,1),(3,2)],4) => 1
{{1},{2,3,4}} => [1,3,4,2] => [.,[[.,[.,.]],.]] => ([(0,3),(2,1),(3,2)],4) => 1
{{1},{2,3},{4}} => [1,3,2,4] => [.,[[.,.],[.,.]]] => ([(0,3),(1,3),(3,2)],4) => 1
{{1,4},{2},{3}} => [4,2,3,1] => [[[.,.],[.,.]],.] => ([(0,3),(1,3),(3,2)],4) => 1
{{1},{2,4},{3}} => [1,4,3,2] => [.,[[[.,.],.],.]] => ([(0,3),(2,1),(3,2)],4) => 1
{{1},{2},{3,4}} => [1,2,4,3] => [.,[.,[[.,.],.]]] => ([(0,3),(2,1),(3,2)],4) => 1
{{1},{2},{3},{4}} => [1,2,3,4] => [.,[.,[.,[.,.]]]] => ([(0,3),(2,1),(3,2)],4) => 1
{{1,2,3,4,5}} => [2,3,4,5,1] => [[.,[.,[.,[.,.]]]],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
{{1,2,3,4},{5}} => [2,3,4,1,5] => [[.,[.,[.,.]]],[.,.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 1
{{1,2,3,5},{4}} => [2,3,5,4,1] => [[.,[.,[[.,.],.]]],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
{{1,2,3},{4,5}} => [2,3,1,5,4] => [[.,[.,.]],[[.,.],.]] => ([(0,3),(1,2),(2,4),(3,4)],5) => 1
{{1,2,3},{4},{5}} => [2,3,1,4,5] => [[.,[.,.]],[.,[.,.]]] => ([(0,3),(1,2),(2,4),(3,4)],5) => 1
{{1,2,4,5},{3}} => [2,4,3,5,1] => [[.,[[.,.],[.,.]]],.] => ([(0,4),(1,4),(2,3),(4,2)],5) => 1
{{1,2,4},{3,5}} => [2,4,5,1,3] => [[.,[.,[.,.]]],[.,.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 1
{{1,2,4},{3},{5}} => [2,4,3,1,5] => [[.,[[.,.],.]],[.,.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 1
{{1,2,5},{3,4}} => [2,5,4,3,1] => [[.,[[[.,.],.],.]],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
{{1,2},{3,4,5}} => [2,1,4,5,3] => [[.,.],[[.,[.,.]],.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 1
{{1,2},{3,4},{5}} => [2,1,4,3,5] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,3),(2,3),(3,4)],5) => 1
{{1,2,5},{3},{4}} => [2,5,3,4,1] => [[.,[[.,.],[.,.]]],.] => ([(0,4),(1,4),(2,3),(4,2)],5) => 1
{{1,2},{3,5},{4}} => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 1
{{1,2},{3},{4,5}} => [2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 1
{{1,2},{3},{4},{5}} => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 1
{{1,3,4,5},{2}} => [3,2,4,5,1] => [[[.,.],[.,[.,.]]],.] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
{{1,3,4},{2,5}} => [3,5,4,1,2] => [[.,[[.,.],.]],[.,.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 1
{{1,3,4},{2},{5}} => [3,2,4,1,5] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,3),(2,3),(3,4)],5) => 1
{{1,3,5},{2,4}} => [3,4,5,2,1] => [[[.,[.,[.,.]]],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
{{1,3},{2,4,5}} => [3,4,1,5,2] => [[.,[.,.]],[[.,.],.]] => ([(0,3),(1,2),(2,4),(3,4)],5) => 1
{{1,3},{2,4},{5}} => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => ([(0,3),(1,2),(2,4),(3,4)],5) => 1
{{1,3,5},{2},{4}} => [3,2,5,4,1] => [[[.,.],[[.,.],.]],.] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
{{1,3},{2,5},{4}} => [3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => ([(0,3),(1,2),(2,4),(3,4)],5) => 1
{{1,3},{2},{4,5}} => [3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => ([(0,3),(1,2),(2,4),(3,4)],5) => 1
{{1,3},{2},{4},{5}} => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => ([(0,3),(1,2),(2,4),(3,4)],5) => 1
{{1,4,5},{2,3}} => [4,3,2,5,1] => [[[[.,.],.],[.,.]],.] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
{{1,4},{2,3,5}} => [4,3,5,1,2] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,3),(2,3),(3,4)],5) => 1
{{1,4},{2,3},{5}} => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 1
{{1,5},{2,3,4}} => [5,3,4,2,1] => [[[[.,.],[.,.]],.],.] => ([(0,4),(1,4),(2,3),(4,2)],5) => 1
{{1},{2,3,4,5}} => [1,3,4,5,2] => [.,[[.,[.,[.,.]]],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
{{1},{2,3,4},{5}} => [1,3,4,2,5] => [.,[[.,[.,.]],[.,.]]] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
{{1,5},{2,3},{4}} => [5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
{{1},{2,3,5},{4}} => [1,3,5,4,2] => [.,[[.,[[.,.],.]],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
{{1},{2,3},{4,5}} => [1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
{{1},{2,3},{4},{5}} => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
{{1,4,5},{2},{3}} => [4,2,3,5,1] => [[[.,.],[.,[.,.]]],.] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
{{1,4},{2,5},{3}} => [4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => ([(0,4),(1,2),(2,3),(3,4)],5) => 1
{{1,4},{2},{3,5}} => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,3),(2,3),(3,4)],5) => 1
{{1,4},{2},{3},{5}} => [4,2,3,1,5] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,3),(2,3),(3,4)],5) => 1
{{1,5},{2,4},{3}} => [5,4,3,2,1] => [[[[[.,.],.],.],.],.] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
{{1},{2,4,5},{3}} => [1,4,3,5,2] => [.,[[[.,.],[.,.]],.]] => ([(0,4),(1,4),(2,3),(4,2)],5) => 1
{{1},{2,4},{3,5}} => [1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
{{1},{2,4},{3},{5}} => [1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
{{1,5},{2},{3,4}} => [5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
{{1},{2,5},{3,4}} => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
{{1},{2},{3,4,5}} => [1,2,4,5,3] => [.,[.,[[.,[.,.]],.]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
{{1},{2},{3,4},{5}} => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => ([(0,4),(1,4),(2,3),(4,2)],5) => 1
{{1,5},{2},{3},{4}} => [5,2,3,4,1] => [[[.,.],[.,[.,.]]],.] => ([(0,4),(1,2),(2,4),(4,3)],5) => 1
{{1},{2,5},{3},{4}} => [1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => ([(0,4),(1,4),(2,3),(4,2)],5) => 1
{{1},{2},{3,5},{4}} => [1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
{{1},{2},{3},{4,5}} => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
{{1},{2},{3},{4},{5}} => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
{{1,2,3,4,5,6}} => [2,3,4,5,6,1] => [[.,[.,[.,[.,[.,.]]]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1,2,3,4,5},{6}} => [2,3,4,5,1,6] => [[.,[.,[.,[.,.]]]],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,2,3,4,6},{5}} => [2,3,4,6,5,1] => [[.,[.,[.,[[.,.],.]]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1,2,3,4},{5,6}} => [2,3,4,1,6,5] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,2,3,4},{5},{6}} => [2,3,4,1,5,6] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,2,3,5,6},{4}} => [2,3,5,4,6,1] => [[.,[.,[[.,.],[.,.]]]],.] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
{{1,2,3,5},{4,6}} => [2,3,5,6,1,4] => [[.,[.,[.,[.,.]]]],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,2,3,5},{4},{6}} => [2,3,5,4,1,6] => [[.,[.,[[.,.],.]]],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,2,3,6},{4,5}} => [2,3,6,5,4,1] => [[.,[.,[[[.,.],.],.]]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1,2,3},{4,5,6}} => [2,3,1,5,6,4] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,2,3},{4,5},{6}} => [2,3,1,5,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,2,3,6},{4},{5}} => [2,3,6,4,5,1] => [[.,[.,[[.,.],[.,.]]]],.] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
{{1,2,3},{4,6},{5}} => [2,3,1,6,5,4] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,2,3},{4},{5,6}} => [2,3,1,4,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,2,3},{4},{5},{6}} => [2,3,1,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,2,4,5,6},{3}} => [2,4,3,5,6,1] => [[.,[[.,.],[.,[.,.]]]],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1,2,4,5},{3,6}} => [2,4,6,5,1,3] => [[.,[.,[[.,.],.]]],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,2,4,5},{3},{6}} => [2,4,3,5,1,6] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
{{1,2,4,6},{3,5}} => [2,4,5,6,3,1] => [[.,[[.,[.,[.,.]]],.]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1,2,4},{3,5,6}} => [2,4,5,1,6,3] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,2,4},{3,5},{6}} => [2,4,5,1,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,2,4,6},{3},{5}} => [2,4,3,6,5,1] => [[.,[[.,.],[[.,.],.]]],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1,2,4},{3,6},{5}} => [2,4,6,1,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,2,4},{3},{5,6}} => [2,4,3,1,6,5] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,2,4},{3},{5},{6}} => [2,4,3,1,5,6] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,2,5,6},{3,4}} => [2,5,4,3,6,1] => [[.,[[[.,.],.],[.,.]]],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
>>> Load all 1155 entries. <<<{{1,2,5},{3,4,6}} => [2,5,4,6,1,3] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
{{1,2,5},{3,4},{6}} => [2,5,4,3,1,6] => [[.,[[[.,.],.],.]],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,2,6},{3,4,5}} => [2,6,4,5,3,1] => [[.,[[[.,.],[.,.]],.]],.] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
{{1,2},{3,4,5,6}} => [2,1,4,5,6,3] => [[.,.],[[.,[.,[.,.]]],.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,2},{3,4,5},{6}} => [2,1,4,5,3,6] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,2,6},{3,4},{5}} => [2,6,4,3,5,1] => [[.,[[[.,.],.],[.,.]]],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1,2},{3,4,6},{5}} => [2,1,4,6,5,3] => [[.,.],[[.,[[.,.],.]],.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,2},{3,4},{5,6}} => [2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,2},{3,4},{5},{6}} => [2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,2,5,6},{3},{4}} => [2,5,3,4,6,1] => [[.,[[.,.],[.,[.,.]]]],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1,2,5},{3,6},{4}} => [2,5,6,4,1,3] => [[.,[[.,[.,.]],.]],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,2,5},{3},{4,6}} => [2,5,3,6,1,4] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
{{1,2,5},{3},{4},{6}} => [2,5,3,4,1,6] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
{{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => [[.,[[[[.,.],.],.],.]],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1,2},{3,5,6},{4}} => [2,1,5,4,6,3] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
{{1,2},{3,5},{4,6}} => [2,1,5,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,2},{3,5},{4},{6}} => [2,1,5,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => [[.,[[.,.],[[.,.],.]]],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,2},{3},{4,5,6}} => [2,1,3,5,6,4] => [[.,.],[.,[[.,[.,.]],.]]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,2},{3},{4,5},{6}} => [2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
{{1,2,6},{3},{4},{5}} => [2,6,3,4,5,1] => [[.,[[.,.],[.,[.,.]]]],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1,2},{3,6},{4},{5}} => [2,1,6,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
{{1,2},{3},{4,6},{5}} => [2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,2},{3},{4},{5,6}} => [2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,2},{3},{4},{5},{6}} => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,3,4,5,6},{2}} => [3,2,4,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,3,4,5},{2,6}} => [3,6,4,5,1,2] => [[.,[[.,.],[.,.]]],[.,.]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
{{1,3,4,5},{2},{6}} => [3,2,4,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,3,4,6},{2,5}} => [3,5,4,6,2,1] => [[[.,[[.,.],[.,.]]],.],.] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
{{1,3,4},{2,5,6}} => [3,5,4,1,6,2] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,3,4},{2,5},{6}} => [3,5,4,1,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,3,4,6},{2},{5}} => [3,2,4,6,5,1] => [[[.,.],[.,[[.,.],.]]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,3,4},{2,6},{5}} => [3,6,4,1,5,2] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,3,4},{2},{5,6}} => [3,2,4,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,3,4},{2},{5},{6}} => [3,2,4,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,3,5,6},{2,4}} => [3,4,5,2,6,1] => [[[.,[.,[.,.]]],[.,.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,3,5},{2,4,6}} => [3,4,5,6,1,2] => [[.,[.,[.,[.,.]]]],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,3,5},{2,4},{6}} => [3,4,5,2,1,6] => [[[.,[.,[.,.]]],.],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,3,6},{2,4,5}} => [3,4,6,5,2,1] => [[[.,[.,[[.,.],.]]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1,3},{2,4,5,6}} => [3,4,1,5,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,3},{2,4,5},{6}} => [3,4,1,5,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,3,6},{2,4},{5}} => [3,4,6,2,5,1] => [[[.,[.,[.,.]]],[.,.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,3},{2,4,6},{5}} => [3,4,1,6,5,2] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,3},{2,4},{5,6}} => [3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,3},{2,4},{5},{6}} => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,3,5,6},{2},{4}} => [3,2,5,4,6,1] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
{{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => [[.,[[[.,.],.],.]],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,3,5},{2},{4,6}} => [3,2,5,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,3,5},{2},{4},{6}} => [3,2,5,4,1,6] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,3,6},{2,5},{4}} => [3,5,6,4,2,1] => [[[.,[[.,[.,.]],.]],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1,3},{2,5,6},{4}} => [3,5,1,4,6,2] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,3},{2,5},{4,6}} => [3,5,1,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,3},{2,5},{4},{6}} => [3,5,1,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => [[[.,.],[[[.,.],.],.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,3},{2},{4,5,6}} => [3,2,1,5,6,4] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,3},{2},{4,5},{6}} => [3,2,1,5,4,6] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,3,6},{2},{4},{5}} => [3,2,6,4,5,1] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
{{1,3},{2,6},{4},{5}} => [3,6,1,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,3},{2},{4,6},{5}} => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,3},{2},{4},{5,6}} => [3,2,1,4,6,5] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,3},{2},{4},{5},{6}} => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,4,5,6},{2,3}} => [4,3,2,5,6,1] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
{{1,4,5},{2,3,6}} => [4,3,6,5,1,2] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,4,5},{2,3},{6}} => [4,3,2,5,1,6] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,4,6},{2,3,5}} => [4,3,5,6,2,1] => [[[[.,.],[.,[.,.]]],.],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1,4},{2,3,5,6}} => [4,3,5,1,6,2] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,4},{2,3,5},{6}} => [4,3,5,1,2,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => [[[[.,.],.],[[.,.],.]],.] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
{{1,4},{2,3,6},{5}} => [4,3,6,1,5,2] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,4},{2,3},{5,6}} => [4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,4},{2,3},{5},{6}} => [4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,5,6},{2,3,4}} => [5,3,4,2,6,1] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
{{1,5},{2,3,4,6}} => [5,3,4,6,1,2] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,5},{2,3,4},{6}} => [5,3,4,2,1,6] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
{{1,6},{2,3,4,5}} => [6,3,4,5,2,1] => [[[[.,.],[.,[.,.]]],.],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1},{2,3,4,5,6}} => [1,3,4,5,6,2] => [.,[[.,[.,[.,[.,.]]]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1},{2,3,4,5},{6}} => [1,3,4,5,2,6] => [.,[[.,[.,[.,.]]],[.,.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,6},{2,3,4},{5}} => [6,3,4,2,5,1] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
{{1},{2,3,4,6},{5}} => [1,3,4,6,5,2] => [.,[[.,[.,[[.,.],.]]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1},{2,3,4},{5,6}} => [1,3,4,2,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
{{1},{2,3,4},{5},{6}} => [1,3,4,2,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
{{1,5,6},{2,3},{4}} => [5,3,2,4,6,1] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
{{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,5},{2,3},{4},{6}} => [5,3,2,4,1,6] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => [[[[.,.],[[.,.],.]],.],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1},{2,3,5,6},{4}} => [1,3,5,4,6,2] => [.,[[.,[[.,.],[.,.]]],.]] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
{{1},{2,3,5},{4,6}} => [1,3,5,6,2,4] => [.,[[.,[.,[.,.]]],[.,.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1},{2,3,5},{4},{6}} => [1,3,5,4,2,6] => [.,[[.,[[.,.],.]],[.,.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
{{1},{2,3,6},{4,5}} => [1,3,6,5,4,2] => [.,[[.,[[[.,.],.],.]],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1},{2,3},{4,5,6}} => [1,3,2,5,6,4] => [.,[[.,.],[[.,[.,.]],.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1},{2,3},{4,5},{6}} => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
{{1,6},{2,3},{4},{5}} => [6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
{{1},{2,3,6},{4},{5}} => [1,3,6,4,5,2] => [.,[[.,[[.,.],[.,.]]],.]] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
{{1},{2,3},{4,6},{5}} => [1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1},{2,3},{4},{5,6}} => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1},{2,3},{4},{5},{6}} => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,4,5,6},{2},{3}} => [4,2,3,5,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,4,5},{2},{3},{6}} => [4,2,3,5,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,4,6},{2,5},{3}} => [4,5,3,6,2,1] => [[[[.,[.,.]],[.,.]],.],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1,4},{2,5,6},{3}} => [4,5,3,1,6,2] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,4},{2,5},{3,6}} => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,4},{2,5},{3},{6}} => [4,5,3,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,4,6},{2},{3,5}} => [4,2,5,6,3,1] => [[[.,.],[[.,[.,.]],.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,4},{2},{3,5,6}} => [4,2,5,1,6,3] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,4},{2},{3,5},{6}} => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,4,6},{2},{3},{5}} => [4,2,3,6,5,1] => [[[.,.],[.,[[.,.],.]]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,3),(1,4),(2,5),(3,5),(4,2)],6) => 1
{{1,4},{2},{3,6},{5}} => [4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,4},{2},{3},{5,6}} => [4,2,3,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,4},{2},{3},{5},{6}} => [4,2,3,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,4),(1,4),(2,3),(3,5),(4,5)],6) => 1
{{1,5,6},{2,4},{3}} => [5,4,3,2,6,1] => [[[[[.,.],.],.],[.,.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,5},{2,4},{3,6}} => [5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 1
{{1,5},{2,4},{3},{6}} => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => [[[[[.,.],.],[.,.]],.],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1},{2,4,5,6},{3}} => [1,4,3,5,6,2] => [.,[[[.,.],[.,[.,.]]],.]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1},{2,4,5},{3,6}} => [1,4,6,5,2,3] => [.,[[.,[[.,.],.]],[.,.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1},{2,4,5},{3},{6}} => [1,4,3,5,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
{{1,6},{2,4},{3,5}} => [6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
{{1},{2,4,6},{3,5}} => [1,4,5,6,3,2] => [.,[[[.,[.,[.,.]]],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1},{2,4},{3,5,6}} => [1,4,5,2,6,3] => [.,[[.,[.,.]],[[.,.],.]]] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
{{1},{2,4},{3,5},{6}} => [1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
{{1,6},{2,4},{3},{5}} => [6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1},{2,4,6},{3},{5}} => [1,4,3,6,5,2] => [.,[[[.,.],[[.,.],.]],.]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1},{2,4},{3,6},{5}} => [1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
{{1},{2,4},{3},{5,6}} => [1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
{{1},{2,4},{3},{5},{6}} => [1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => ([(0,4),(1,3),(3,5),(4,5),(5,2)],6) => 1
{{1,5,6},{2},{3,4}} => [5,2,4,3,6,1] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
{{1,5},{2,6},{3,4}} => [5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 1
{{1,5},{2},{3,4,6}} => [5,2,4,6,1,3] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,5},{2},{3,4},{6}} => [5,2,4,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,6},{2,5},{3,4}} => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1},{2,5,6},{3,4}} => [1,5,4,3,6,2] => [.,[[[[.,.],.],[.,.]],.]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1},{2,5},{3,4,6}} => [1,5,4,6,2,3] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
{{1},{2,5},{3,4},{6}} => [1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,6},{2},{3,4,5}} => [6,2,4,5,3,1] => [[[.,.],[[.,[.,.]],.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1},{2,6},{3,4,5}} => [1,6,4,5,3,2] => [.,[[[[.,.],[.,.]],.],.]] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
{{1},{2},{3,4,5,6}} => [1,2,4,5,6,3] => [.,[.,[[.,[.,[.,.]]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1},{2},{3,4,5},{6}} => [1,2,4,5,3,6] => [.,[.,[[.,[.,.]],[.,.]]]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1,6},{2},{3,4},{5}} => [6,2,4,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
{{1},{2,6},{3,4},{5}} => [1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1},{2},{3,4,6},{5}} => [1,2,4,6,5,3] => [.,[.,[[.,[[.,.],.]],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1},{2},{3,4},{5,6}} => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1},{2},{3,4},{5},{6}} => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1,5,6},{2},{3},{4}} => [5,2,3,4,6,1] => [[[.,.],[.,[.,[.,.]]]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,5},{2},{3},{4,6}} => [5,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,5},{2},{3},{4},{6}} => [5,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 1
{{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1},{2,5,6},{3},{4}} => [1,5,3,4,6,2] => [.,[[[.,.],[.,[.,.]]],.]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1},{2,5},{3,6},{4}} => [1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1},{2,5},{3},{4,6}} => [1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
{{1},{2,5},{3},{4},{6}} => [1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 1
{{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1},{2},{3,5,6},{4}} => [1,2,5,4,6,3] => [.,[.,[[[.,.],[.,.]],.]]] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
{{1},{2},{3,5},{4,6}} => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1},{2},{3,5},{4},{6}} => [1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1,6},{2},{3},{4,5}} => [6,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1},{2,6},{3},{4,5}} => [1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1},{2},{3,6},{4,5}} => [1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1},{2},{3},{4,5,6}} => [1,2,3,5,6,4] => [.,[.,[.,[[.,[.,.]],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1},{2},{3},{4,5},{6}} => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
{{1,6},{2},{3},{4},{5}} => [6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 1
{{1},{2,6},{3},{4},{5}} => [1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 1
{{1},{2},{3,6},{4},{5}} => [1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 1
{{1},{2},{3},{4,6},{5}} => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1},{2},{3},{4},{5,6}} => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1},{2},{3},{4},{5},{6}} => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
{{1,2,3,4,5,6,7}} => [2,3,4,5,6,7,1] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1,2,3,4,5,6},{7}} => [2,3,4,5,6,1,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2,3,4,5,7},{6}} => [2,3,4,5,7,6,1] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1,2,3,4,5},{6,7}} => [2,3,4,5,1,7,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,3,4,5},{6},{7}} => [2,3,4,5,1,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,3,4,6,7},{5}} => [2,3,4,6,5,7,1] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1,2,3,4,6},{5,7}} => [2,3,4,6,7,1,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2,3,4,6},{5},{7}} => [2,3,4,6,5,1,7] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2,3,4,7},{5,6}} => [2,3,4,7,6,5,1] => [[.,[.,[.,[[[.,.],.],.]]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1,2,3,4},{5,6,7}} => [2,3,4,1,6,7,5] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,3,4},{5,6},{7}} => [2,3,4,1,6,5,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,2,3,4,7},{5},{6}} => [2,3,4,7,5,6,1] => [[.,[.,[.,[[.,.],[.,.]]]]],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1,2,3,4},{5,7},{6}} => [2,3,4,1,7,6,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,3,4},{5},{6,7}} => [2,3,4,1,5,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,3,4},{5},{6},{7}} => [2,3,4,1,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,3,5,6,7},{4}} => [2,3,5,4,6,7,1] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,2,3,5,6},{4,7}} => [2,3,5,7,6,1,4] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2,3,5,6},{4},{7}} => [2,3,5,4,6,1,7] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,2,3,5,7},{4,6}} => [2,3,5,6,7,4,1] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1,2,3,5},{4,6,7}} => [2,3,5,6,1,7,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,3,5},{4,6},{7}} => [2,3,5,6,1,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,3,5,7},{4},{6}} => [2,3,5,4,7,6,1] => [[.,[.,[[.,.],[[.,.],.]]]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,2,3,5},{4,7},{6}} => [2,3,5,7,1,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,3,5},{4},{6,7}} => [2,3,5,4,1,7,6] => [[.,[.,[[.,.],.]]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,3,5},{4},{6},{7}} => [2,3,5,4,1,6,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,3,6,7},{4,5}} => [2,3,6,5,4,7,1] => [[.,[.,[[[.,.],.],[.,.]]]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,2,3,6},{4,5,7}} => [2,3,6,5,7,1,4] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,2,3,6},{4,5},{7}} => [2,3,6,5,4,1,7] => [[.,[.,[[[.,.],.],.]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2,3,7},{4,5,6}} => [2,3,7,5,6,4,1] => [[.,[.,[[[.,.],[.,.]],.]]],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1,2,3},{4,5,6,7}} => [2,3,1,5,6,7,4] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,3},{4,5,6},{7}} => [2,3,1,5,6,4,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,2,3,7},{4,5},{6}} => [2,3,7,5,4,6,1] => [[.,[.,[[[.,.],.],[.,.]]]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,2,3},{4,5,7},{6}} => [2,3,1,5,7,6,4] => [[.,[.,.]],[[.,[[.,.],.]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,3},{4,5},{6,7}} => [2,3,1,5,4,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,2,3},{4,5},{6},{7}} => [2,3,1,5,4,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,2,3,6,7},{4},{5}} => [2,3,6,4,5,7,1] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,2,3,6},{4,7},{5}} => [2,3,6,7,5,1,4] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2,3,6},{4},{5,7}} => [2,3,6,4,7,1,5] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,2,3,6},{4},{5},{7}} => [2,3,6,4,5,1,7] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,2,3,7},{4,6},{5}} => [2,3,7,6,5,4,1] => [[.,[.,[[[[.,.],.],.],.]]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1,2,3},{4,6,7},{5}} => [2,3,1,6,5,7,4] => [[.,[.,.]],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,2,3},{4,6},{5,7}} => [2,3,1,6,7,4,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,2,3},{4,6},{5},{7}} => [2,3,1,6,5,4,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,2,3,7},{4},{5,6}} => [2,3,7,4,6,5,1] => [[.,[.,[[.,.],[[.,.],.]]]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,2,3},{4,7},{5,6}} => [2,3,1,7,6,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,3},{4},{5,6,7}} => [2,3,1,4,6,7,5] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,3},{4},{5,6},{7}} => [2,3,1,4,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,2,3,7},{4},{5},{6}} => [2,3,7,4,5,6,1] => [[.,[.,[[.,.],[.,[.,.]]]]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,2,3},{4,7},{5},{6}} => [2,3,1,7,5,6,4] => [[.,[.,.]],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,2,3},{4},{5,7},{6}} => [2,3,1,4,7,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,3},{4},{5},{6,7}} => [2,3,1,4,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,3},{4},{5},{6},{7}} => [2,3,1,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,4,5,6,7},{3}} => [2,4,3,5,6,7,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2,4,5,6},{3,7}} => [2,4,7,5,6,1,3] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,2,4,5,6},{3},{7}} => [2,4,3,5,6,1,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,4,5,7},{3,6}} => [2,4,6,5,7,3,1] => [[.,[[.,[[.,.],[.,.]]],.]],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1,2,4,5},{3,6,7}} => [2,4,6,5,1,7,3] => [[.,[.,[[.,.],.]]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,4,5},{3,6},{7}} => [2,4,6,5,1,3,7] => [[.,[.,[[.,.],.]]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,4,5,7},{3},{6}} => [2,4,3,5,7,6,1] => [[.,[[.,.],[.,[[.,.],.]]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2,4,5},{3,7},{6}} => [2,4,7,5,1,6,3] => [[.,[.,[[.,.],.]]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,4,5},{3},{6,7}} => [2,4,3,5,1,7,6] => [[.,[[.,.],[.,.]]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,2,4,5},{3},{6},{7}} => [2,4,3,5,1,6,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,2,4,6,7},{3,5}} => [2,4,5,6,3,7,1] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2,4,6},{3,5,7}} => [2,4,5,6,7,1,3] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2,4,6},{3,5},{7}} => [2,4,5,6,3,1,7] => [[.,[[.,[.,[.,.]]],.]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2,4,7},{3,5,6}} => [2,4,5,7,6,3,1] => [[.,[[.,[.,[[.,.],.]]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1,2,4},{3,5,6,7}} => [2,4,5,1,6,7,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,4},{3,5,6},{7}} => [2,4,5,1,6,3,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,2,4,7},{3,5},{6}} => [2,4,5,7,3,6,1] => [[.,[[.,[.,[.,.]]],[.,.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2,4},{3,5,7},{6}} => [2,4,5,1,7,6,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,4},{3,5},{6,7}} => [2,4,5,1,3,7,6] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,4},{3,5},{6},{7}} => [2,4,5,1,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,4,6,7},{3},{5}} => [2,4,3,6,5,7,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1,2,4,6},{3,7},{5}} => [2,4,7,6,5,1,3] => [[.,[.,[[[.,.],.],.]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2,4,6},{3},{5,7}} => [2,4,3,6,7,1,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,4,6},{3},{5},{7}} => [2,4,3,6,5,1,7] => [[.,[[.,.],[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,4,7},{3,6},{5}} => [2,4,6,7,5,3,1] => [[.,[[.,[[.,[.,.]],.]],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1,2,4},{3,6,7},{5}} => [2,4,6,1,5,7,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,4},{3,6},{5,7}} => [2,4,6,1,7,3,5] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,2,4},{3,6},{5},{7}} => [2,4,6,1,5,3,7] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,2,4,7},{3},{5,6}} => [2,4,3,7,6,5,1] => [[.,[[.,.],[[[.,.],.],.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2,4},{3,7},{5,6}} => [2,4,7,1,6,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,4},{3},{5,6,7}} => [2,4,3,1,6,7,5] => [[.,[[.,.],.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,4},{3},{5,6},{7}} => [2,4,3,1,6,5,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,2,4,7},{3},{5},{6}} => [2,4,3,7,5,6,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1,2,4},{3,7},{5},{6}} => [2,4,7,1,5,6,3] => [[.,[.,[.,.]]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,4},{3},{5,7},{6}} => [2,4,3,1,7,6,5] => [[.,[[.,.],.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,4},{3},{5},{6,7}} => [2,4,3,1,5,7,6] => [[.,[[.,.],.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,4},{3},{5},{6},{7}} => [2,4,3,1,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,2,5,6,7},{3,4}} => [2,5,4,3,6,7,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1,2,5,6},{3,4,7}} => [2,5,4,7,6,1,3] => [[.,[[.,.],[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,5,6},{3,4},{7}} => [2,5,4,3,6,1,7] => [[.,[[[.,.],.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,5,7},{3,4,6}} => [2,5,4,6,7,3,1] => [[.,[[[.,.],[.,[.,.]]],.]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,2,5},{3,4,6,7}} => [2,5,4,6,1,7,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,2,5},{3,4,6},{7}} => [2,5,4,6,1,3,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,2,5,7},{3,4},{6}} => [2,5,4,3,7,6,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1,2,5},{3,4,7},{6}} => [2,5,4,7,1,6,3] => [[.,[[.,.],[.,.]]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,2,5},{3,4},{6,7}} => [2,5,4,3,1,7,6] => [[.,[[[.,.],.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,5},{3,4},{6},{7}} => [2,5,4,3,1,6,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,6,7},{3,4,5}} => [2,6,4,5,3,7,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1,2,6},{3,4,5,7}} => [2,6,4,5,7,1,3] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,6},{3,4,5},{7}} => [2,6,4,5,3,1,7] => [[.,[[[.,.],[.,.]],.]],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,2,7},{3,4,5,6}} => [2,7,4,5,6,3,1] => [[.,[[[.,.],[.,[.,.]]],.]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,2},{3,4,5,6,7}} => [2,1,4,5,6,7,3] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2},{3,4,5,6},{7}} => [2,1,4,5,6,3,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,2,7},{3,4,5},{6}} => [2,7,4,5,3,6,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1,2},{3,4,5,7},{6}} => [2,1,4,5,7,6,3] => [[.,.],[[.,[.,[[.,.],.]]],.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2},{3,4,5},{6,7}} => [2,1,4,5,3,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,2},{3,4,5},{6},{7}} => [2,1,4,5,3,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,2,6,7},{3,4},{5}} => [2,6,4,3,5,7,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1,2,6},{3,4,7},{5}} => [2,6,4,7,5,1,3] => [[.,[[.,.],[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,6},{3,4},{5,7}} => [2,6,4,3,7,1,5] => [[.,[[[.,.],.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,6},{3,4},{5},{7}} => [2,6,4,3,5,1,7] => [[.,[[[.,.],.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,7},{3,4,6},{5}} => [2,7,4,6,5,3,1] => [[.,[[[.,.],[[.,.],.]],.]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,2},{3,4,6,7},{5}} => [2,1,4,6,5,7,3] => [[.,.],[[.,[[.,.],[.,.]]],.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,2},{3,4,6},{5,7}} => [2,1,4,6,7,3,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,2},{3,4,6},{5},{7}} => [2,1,4,6,5,3,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,2,7},{3,4},{5,6}} => [2,7,4,3,6,5,1] => [[.,[[[.,.],.],[[.,.],.]]],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1,2},{3,4,7},{5,6}} => [2,1,4,7,6,5,3] => [[.,.],[[.,[[[.,.],.],.]],.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2},{3,4},{5,6,7}} => [2,1,4,3,6,7,5] => [[.,.],[[.,.],[[.,[.,.]],.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,2},{3,4},{5,6},{7}} => [2,1,4,3,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,2,7},{3,4},{5},{6}} => [2,7,4,3,5,6,1] => [[.,[[[.,.],.],[.,[.,.]]]],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1,2},{3,4,7},{5},{6}} => [2,1,4,7,5,6,3] => [[.,.],[[.,[[.,.],[.,.]]],.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,2},{3,4},{5,7},{6}} => [2,1,4,3,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,2},{3,4},{5},{6,7}} => [2,1,4,3,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,2},{3,4},{5},{6},{7}} => [2,1,4,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,2,5,6,7},{3},{4}} => [2,5,3,4,6,7,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2,5,6},{3,7},{4}} => [2,5,7,4,6,1,3] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,5,6},{3},{4,7}} => [2,5,3,7,6,1,4] => [[.,[[.,.],[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,5,6},{3},{4},{7}} => [2,5,3,4,6,1,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,5,7},{3,6},{4}} => [2,5,6,4,7,3,1] => [[.,[[[.,[.,.]],[.,.]],.]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,2,5},{3,6,7},{4}} => [2,5,6,4,1,7,3] => [[.,[[.,[.,.]],.]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,5},{3,6},{4,7}} => [2,5,6,7,1,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,5},{3,6},{4},{7}} => [2,5,6,4,1,3,7] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,5,7},{3},{4,6}} => [2,5,3,6,7,4,1] => [[.,[[.,.],[[.,[.,.]],.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2,5},{3,7},{4,6}} => [2,5,7,6,1,4,3] => [[.,[.,[[.,.],.]]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,5},{3},{4,6,7}} => [2,5,3,6,1,7,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,2,5},{3},{4,6},{7}} => [2,5,3,6,1,4,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,2,5,7},{3},{4},{6}} => [2,5,3,4,7,6,1] => [[.,[[.,.],[.,[[.,.],.]]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2,5},{3,7},{4},{6}} => [2,5,7,4,1,6,3] => [[.,[[.,[.,.]],.]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,2,5},{3},{4,7},{6}} => [2,5,3,7,1,6,4] => [[.,[[.,.],[.,.]]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,2,5},{3},{4},{6,7}} => [2,5,3,4,1,7,6] => [[.,[[.,.],[.,.]]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,2,5},{3},{4},{6},{7}} => [2,5,3,4,1,6,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,2,6,7},{3,5},{4}} => [2,6,5,4,3,7,1] => [[.,[[[[.,.],.],.],[.,.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2,6},{3,5,7},{4}} => [2,6,5,4,7,1,3] => [[.,[[[.,.],.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,6},{3,5},{4,7}} => [2,6,5,7,3,1,4] => [[.,[[[.,.],[.,.]],.]],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,2,6},{3,5},{4},{7}} => [2,6,5,4,3,1,7] => [[.,[[[[.,.],.],.],.]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2,7},{3,5,6},{4}} => [2,7,5,4,6,3,1] => [[.,[[[[.,.],.],[.,.]],.]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,2},{3,5,6,7},{4}} => [2,1,5,4,6,7,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2},{3,5,6},{4,7}} => [2,1,5,7,6,3,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,2},{3,5,6},{4},{7}} => [2,1,5,4,6,3,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,2,7},{3,5},{4,6}} => [2,7,5,6,3,4,1] => [[.,[[[.,.],[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1,2},{3,5,7},{4,6}} => [2,1,5,6,7,4,3] => [[.,.],[[[.,[.,[.,.]]],.],.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2},{3,5},{4,6,7}} => [2,1,5,6,3,7,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,2},{3,5},{4,6},{7}} => [2,1,5,6,3,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,2,7},{3,5},{4},{6}} => [2,7,5,4,3,6,1] => [[.,[[[[.,.],.],.],[.,.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2},{3,5,7},{4},{6}} => [2,1,5,4,7,6,3] => [[.,.],[[[.,.],[[.,.],.]],.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2},{3,5},{4,7},{6}} => [2,1,5,7,3,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,2},{3,5},{4},{6,7}} => [2,1,5,4,3,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,2},{3,5},{4},{6},{7}} => [2,1,5,4,3,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,2,6,7},{3},{4,5}} => [2,6,3,5,4,7,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1,2,6},{3,7},{4,5}} => [2,6,7,5,4,1,3] => [[.,[[[.,[.,.]],.],.]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2,6},{3},{4,5,7}} => [2,6,3,5,7,1,4] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,6},{3},{4,5},{7}} => [2,6,3,5,4,1,7] => [[.,[[.,.],[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,7},{3,6},{4,5}} => [2,7,6,5,4,3,1] => [[.,[[[[[.,.],.],.],.],.]],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1,2},{3,6,7},{4,5}} => [2,1,6,5,4,7,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2},{3,6},{4,5,7}} => [2,1,6,5,7,3,4] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,2},{3,6},{4,5},{7}} => [2,1,6,5,4,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,2,7},{3},{4,5,6}} => [2,7,3,5,6,4,1] => [[.,[[.,.],[[.,[.,.]],.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2},{3,7},{4,5,6}} => [2,1,7,5,6,4,3] => [[.,.],[[[[.,.],[.,.]],.],.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,2},{3},{4,5,6,7}} => [2,1,3,5,6,7,4] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2},{3},{4,5,6},{7}} => [2,1,3,5,6,4,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,7},{3},{4,5},{6}} => [2,7,3,5,4,6,1] => [[.,[[.,.],[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1,2},{3,7},{4,5},{6}} => [2,1,7,5,4,6,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2},{3},{4,5,7},{6}} => [2,1,3,5,7,6,4] => [[.,.],[.,[[.,[[.,.],.]],.]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2},{3},{4,5},{6,7}} => [2,1,3,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2},{3},{4,5},{6},{7}} => [2,1,3,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,6,7},{3},{4},{5}} => [2,6,3,4,5,7,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2,6},{3,7},{4},{5}} => [2,6,7,4,5,1,3] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,6},{3},{4,7},{5}} => [2,6,3,7,5,1,4] => [[.,[[.,.],[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,6},{3},{4},{5,7}} => [2,6,3,4,7,1,5] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,6},{3},{4},{5},{7}} => [2,6,3,4,5,1,7] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,7},{3,6},{4},{5}} => [2,7,6,4,5,3,1] => [[.,[[[[.,.],.],[.,.]],.]],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,2},{3,6,7},{4},{5}} => [2,1,6,4,5,7,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2},{3,6},{4,7},{5}} => [2,1,6,7,5,3,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,2},{3,6},{4},{5,7}} => [2,1,6,4,7,3,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,2},{3,6},{4},{5},{7}} => [2,1,6,4,5,3,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,2,7},{3},{4,6},{5}} => [2,7,3,6,5,4,1] => [[.,[[.,.],[[[.,.],.],.]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2},{3,7},{4,6},{5}} => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2},{3},{4,6,7},{5}} => [2,1,3,6,5,7,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,2},{3},{4,6},{5,7}} => [2,1,3,6,7,4,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2},{3},{4,6},{5},{7}} => [2,1,3,6,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2,7},{3},{4},{5,6}} => [2,7,3,4,6,5,1] => [[.,[[.,.],[.,[[.,.],.]]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2},{3,7},{4},{5,6}} => [2,1,7,4,6,5,3] => [[.,.],[[[.,.],[[.,.],.]],.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2},{3},{4,7},{5,6}} => [2,1,3,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2},{3},{4},{5,6,7}} => [2,1,3,4,6,7,5] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2},{3},{4},{5,6},{7}} => [2,1,3,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,2,7},{3},{4},{5},{6}} => [2,7,3,4,5,6,1] => [[.,[[.,.],[.,[.,[.,.]]]]],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,2},{3,7},{4},{5},{6}} => [2,1,7,4,5,6,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,2},{3},{4,7},{5},{6}} => [2,1,3,7,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,2},{3},{4},{5,7},{6}} => [2,1,3,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2},{3},{4},{5},{6,7}} => [2,1,3,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,2},{3},{4},{5},{6},{7}} => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,3,4,5,6,7},{2}} => [3,2,4,5,6,7,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,3,4,5,6},{2,7}} => [3,7,4,5,6,1,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,3,4,5,6},{2},{7}} => [3,2,4,5,6,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,3,4,5,7},{2,6}} => [3,6,4,5,7,2,1] => [[[.,[[.,.],[.,[.,.]]]],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,3,4,5},{2,6,7}} => [3,6,4,5,1,7,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,3,4,5},{2,6},{7}} => [3,6,4,5,1,2,7] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,3,4,5,7},{2},{6}} => [3,2,4,5,7,6,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,3,4,5},{2,7},{6}} => [3,7,4,5,1,6,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,3,4,5},{2},{6,7}} => [3,2,4,5,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,4,5},{2},{6},{7}} => [3,2,4,5,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,4,6,7},{2,5}} => [3,5,4,6,2,7,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,3,4,6},{2,5,7}} => [3,5,4,6,7,1,2] => [[.,[[.,.],[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,3,4,6},{2,5},{7}} => [3,5,4,6,2,1,7] => [[[.,[[.,.],[.,.]]],.],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,3,4,7},{2,5,6}} => [3,5,4,7,6,2,1] => [[[.,[[.,.],[[.,.],.]]],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,3,4},{2,5,6,7}} => [3,5,4,1,6,7,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,3,4},{2,5,6},{7}} => [3,5,4,1,6,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,3,4,7},{2,5},{6}} => [3,5,4,7,2,6,1] => [[[.,[[.,.],[.,.]]],[.,.]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,3,4},{2,5,7},{6}} => [3,5,4,1,7,6,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,3,4},{2,5},{6,7}} => [3,5,4,1,2,7,6] => [[.,[[.,.],.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,3,4},{2,5},{6},{7}} => [3,5,4,1,2,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,3,4,6,7},{2},{5}} => [3,2,4,6,5,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,3,4,6},{2,7},{5}} => [3,7,4,6,5,1,2] => [[.,[[.,.],[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,3,4,6},{2},{5,7}} => [3,2,4,6,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,3,4,6},{2},{5},{7}} => [3,2,4,6,5,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,3,4,7},{2,6},{5}} => [3,6,4,7,5,2,1] => [[[.,[[.,.],[[.,.],.]]],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,3,4},{2,6,7},{5}} => [3,6,4,1,5,7,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,3,4},{2,6},{5,7}} => [3,6,4,1,7,2,5] => [[.,[[.,.],.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,3,4},{2,6},{5},{7}} => [3,6,4,1,5,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,3,4,7},{2},{5,6}} => [3,2,4,7,6,5,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,3,4},{2,7},{5,6}} => [3,7,4,1,6,5,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,3,4},{2},{5,6,7}} => [3,2,4,1,6,7,5] => [[[.,.],[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,3,4},{2},{5,6},{7}} => [3,2,4,1,6,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 1
{{1,3,4,7},{2},{5},{6}} => [3,2,4,7,5,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,3,4},{2,7},{5},{6}} => [3,7,4,1,5,6,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,3,4},{2},{5,7},{6}} => [3,2,4,1,7,6,5] => [[[.,.],[.,.]],[[[.,.],.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,3,4},{2},{5},{6,7}} => [3,2,4,1,5,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,3,4},{2},{5},{6},{7}} => [3,2,4,1,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,3,5,6,7},{2,4}} => [3,4,5,2,6,7,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,3,5,6},{2,4,7}} => [3,4,5,7,6,1,2] => [[.,[.,[.,[[.,.],.]]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,3,5,6},{2,4},{7}} => [3,4,5,2,6,1,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,3,5,7},{2,4,6}} => [3,4,5,6,7,2,1] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1,3,5},{2,4,6,7}} => [3,4,5,6,1,7,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3,5},{2,4,6},{7}} => [3,4,5,6,1,2,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3,5,7},{2,4},{6}} => [3,4,5,2,7,6,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,3,5},{2,4,7},{6}} => [3,4,5,7,1,6,2] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3,5},{2,4},{6,7}} => [3,4,5,2,1,7,6] => [[[.,[.,[.,.]]],.],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3,5},{2,4},{6},{7}} => [3,4,5,2,1,6,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3,6,7},{2,4,5}} => [3,4,6,5,2,7,1] => [[[.,[.,[[.,.],.]]],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,3,6},{2,4,5,7}} => [3,4,6,5,7,1,2] => [[.,[.,[[.,.],[.,.]]]],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,3,6},{2,4,5},{7}} => [3,4,6,5,2,1,7] => [[[.,[.,[[.,.],.]]],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,3,7},{2,4,5,6}} => [3,4,7,5,6,2,1] => [[[.,[.,[[.,.],[.,.]]]],.],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1,3},{2,4,5,6,7}} => [3,4,1,5,6,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2,4,5,6},{7}} => [3,4,1,5,6,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,7},{2,4,5},{6}} => [3,4,7,5,2,6,1] => [[[.,[.,[[.,.],.]]],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,3},{2,4,5,7},{6}} => [3,4,1,5,7,6,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2,4,5},{6,7}} => [3,4,1,5,2,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3},{2,4,5},{6},{7}} => [3,4,1,5,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,6,7},{2,4},{5}} => [3,4,6,2,5,7,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,3,6},{2,4,7},{5}} => [3,4,6,7,5,1,2] => [[.,[.,[[.,[.,.]],.]]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,3,6},{2,4},{5,7}} => [3,4,6,2,7,1,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,3,6},{2,4},{5},{7}} => [3,4,6,2,5,1,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,3,7},{2,4,6},{5}} => [3,4,7,6,5,2,1] => [[[.,[.,[[[.,.],.],.]]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1,3},{2,4,6,7},{5}} => [3,4,1,6,5,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,3},{2,4,6},{5,7}} => [3,4,1,6,7,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3},{2,4,6},{5},{7}} => [3,4,1,6,5,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,7},{2,4},{5,6}} => [3,4,7,2,6,5,1] => [[[.,[.,[.,.]]],[[.,.],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,3},{2,4,7},{5,6}} => [3,4,1,7,6,5,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2,4},{5,6,7}} => [3,4,1,2,6,7,5] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2,4},{5,6},{7}} => [3,4,1,2,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,3,7},{2,4},{5},{6}} => [3,4,7,2,5,6,1] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,3},{2,4,7},{5},{6}} => [3,4,1,7,5,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,3},{2,4},{5,7},{6}} => [3,4,1,2,7,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2,4},{5},{6,7}} => [3,4,1,2,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2,4},{5},{6},{7}} => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3,5,6,7},{2},{4}} => [3,2,5,4,6,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,3,5,6},{2,7},{4}} => [3,7,5,4,6,1,2] => [[.,[[[.,.],.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,3,5,6},{2},{4,7}} => [3,2,5,7,6,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,3,5,6},{2},{4},{7}} => [3,2,5,4,6,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,3,5,7},{2,6},{4}} => [3,6,5,4,7,2,1] => [[[.,[[[.,.],.],[.,.]]],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,3,5},{2,6,7},{4}} => [3,6,5,4,1,7,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3,5},{2,6},{4,7}} => [3,6,5,7,1,2,4] => [[.,[[.,.],[.,.]]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,3,5},{2,6},{4},{7}} => [3,6,5,4,1,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3,5,7},{2},{4,6}} => [3,2,5,6,7,4,1] => [[[.,.],[[.,[.,[.,.]]],.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,3,5},{2,7},{4,6}} => [3,7,5,6,1,4,2] => [[.,[[.,.],[.,.]]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,3,5},{2},{4,6,7}} => [3,2,5,6,1,7,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,5},{2},{4,6},{7}} => [3,2,5,6,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,5,7},{2},{4},{6}} => [3,2,5,4,7,6,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,3,5},{2,7},{4},{6}} => [3,7,5,4,1,6,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3,5},{2},{4,7},{6}} => [3,2,5,7,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,5},{2},{4},{6,7}} => [3,2,5,4,1,7,6] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,5},{2},{4},{6},{7}} => [3,2,5,4,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,6,7},{2,5},{4}} => [3,5,6,4,2,7,1] => [[[.,[[.,[.,.]],.]],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,3,6},{2,5,7},{4}} => [3,5,6,4,7,1,2] => [[.,[[.,[.,.]],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,3,6},{2,5},{4,7}} => [3,5,6,7,2,1,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,3,6},{2,5},{4},{7}} => [3,5,6,4,2,1,7] => [[[.,[[.,[.,.]],.]],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,3,7},{2,5,6},{4}} => [3,5,7,4,6,2,1] => [[[.,[[.,[.,.]],[.,.]]],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,3},{2,5,6,7},{4}} => [3,5,1,4,6,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2,5,6},{4,7}} => [3,5,1,7,6,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3},{2,5,6},{4},{7}} => [3,5,1,4,6,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,7},{2,5},{4,6}} => [3,5,7,6,2,4,1] => [[[.,[.,[[.,.],.]]],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,3},{2,5,7},{4,6}} => [3,5,1,6,7,4,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2,5},{4,6,7}} => [3,5,1,6,2,7,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3},{2,5},{4,6},{7}} => [3,5,1,6,2,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,7},{2,5},{4},{6}} => [3,5,7,4,2,6,1] => [[[.,[[.,[.,.]],.]],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,3},{2,5,7},{4},{6}} => [3,5,1,4,7,6,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2,5},{4,7},{6}} => [3,5,1,7,2,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3},{2,5},{4},{6,7}} => [3,5,1,4,2,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3},{2,5},{4},{6},{7}} => [3,5,1,4,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,6,7},{2},{4,5}} => [3,2,6,5,4,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,3,6},{2,7},{4,5}} => [3,7,6,5,4,1,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,3,6},{2},{4,5,7}} => [3,2,6,5,7,1,4] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,3,6},{2},{4,5},{7}} => [3,2,6,5,4,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,3,7},{2,6},{4,5}} => [3,6,7,5,4,2,1] => [[[.,[[[.,[.,.]],.],.]],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1,3},{2,6,7},{4,5}} => [3,6,1,5,4,7,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,3},{2,6},{4,5,7}} => [3,6,1,5,7,2,4] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3},{2,6},{4,5},{7}} => [3,6,1,5,4,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,7},{2},{4,5,6}} => [3,2,7,5,6,4,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,3},{2,7},{4,5,6}} => [3,7,1,5,6,4,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2},{4,5,6,7}} => [3,2,1,5,6,7,4] => [[[.,.],.],[[.,[.,[.,.]]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2},{4,5,6},{7}} => [3,2,1,5,6,4,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,7},{2},{4,5},{6}} => [3,2,7,5,4,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,3},{2,7},{4,5},{6}} => [3,7,1,5,4,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,3},{2},{4,5,7},{6}} => [3,2,1,5,7,6,4] => [[[.,.],.],[[.,[[.,.],.]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2},{4,5},{6,7}} => [3,2,1,5,4,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3},{2},{4,5},{6},{7}} => [3,2,1,5,4,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,6,7},{2},{4},{5}} => [3,2,6,4,5,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,3,6},{2,7},{4},{5}} => [3,7,6,4,5,1,2] => [[.,[[[.,.],.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,3,6},{2},{4,7},{5}} => [3,2,6,7,5,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,3,6},{2},{4},{5,7}} => [3,2,6,4,7,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,3,6},{2},{4},{5},{7}} => [3,2,6,4,5,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,3,7},{2,6},{4},{5}} => [3,6,7,4,5,2,1] => [[[.,[[.,[.,.]],[.,.]]],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,3},{2,6,7},{4},{5}} => [3,6,1,4,5,7,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2,6},{4,7},{5}} => [3,6,1,7,5,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3},{2,6},{4},{5,7}} => [3,6,1,4,7,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3},{2,6},{4},{5},{7}} => [3,6,1,4,5,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,7},{2},{4,6},{5}} => [3,2,7,6,5,4,1] => [[[.,.],[[[[.,.],.],.],.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,3},{2,7},{4,6},{5}} => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2},{4,6,7},{5}} => [3,2,1,6,5,7,4] => [[[.,.],.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,3},{2},{4,6},{5,7}} => [3,2,1,6,7,4,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3},{2},{4,6},{5},{7}} => [3,2,1,6,5,4,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,3,7},{2},{4},{5,6}} => [3,2,7,4,6,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,3},{2,7},{4},{5,6}} => [3,7,1,4,6,5,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2},{4,7},{5,6}} => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2},{4},{5,6,7}} => [3,2,1,4,6,7,5] => [[[.,.],.],[.,[[.,[.,.]],.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2},{4},{5,6},{7}} => [3,2,1,4,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,3,7},{2},{4},{5},{6}} => [3,2,7,4,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,3},{2,7},{4},{5},{6}} => [3,7,1,4,5,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2},{4,7},{5},{6}} => [3,2,1,7,5,6,4] => [[[.,.],.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,3},{2},{4},{5,7},{6}} => [3,2,1,4,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2},{4},{5},{6,7}} => [3,2,1,4,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,3},{2},{4},{5},{6},{7}} => [3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,4,5,6,7},{2,3}} => [4,3,2,5,6,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,4,5,6},{2,3,7}} => [4,3,7,5,6,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,4,5,6},{2,3},{7}} => [4,3,2,5,6,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,4,5,7},{2,3,6}} => [4,3,6,5,7,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1,4,5},{2,3,6,7}} => [4,3,6,5,1,7,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,4,5},{2,3,6},{7}} => [4,3,6,5,1,2,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,4,5,7},{2,3},{6}} => [4,3,2,5,7,6,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,4,5},{2,3,7},{6}} => [4,3,7,5,1,6,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,4,5},{2,3},{6,7}} => [4,3,2,5,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,4,5},{2,3},{6},{7}} => [4,3,2,5,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,4,6,7},{2,3,5}} => [4,3,5,6,2,7,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,4,6},{2,3,5,7}} => [4,3,5,6,7,1,2] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,4,6},{2,3,5},{7}} => [4,3,5,6,2,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,4,7},{2,3,5,6}} => [4,3,5,7,6,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,4},{2,3,5,6,7}} => [4,3,5,1,6,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2,3,5,6},{7}} => [4,3,5,1,6,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 1
{{1,4,7},{2,3,5},{6}} => [4,3,5,7,2,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,4},{2,3,5,7},{6}} => [4,3,5,1,7,6,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2,3,5},{6,7}} => [4,3,5,1,2,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2,3,5},{6},{7}} => [4,3,5,1,2,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4,6,7},{2,3},{5}} => [4,3,2,6,5,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,4,6},{2,3,7},{5}} => [4,3,7,6,5,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,4,6},{2,3},{5,7}} => [4,3,2,6,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,4,6},{2,3},{5},{7}} => [4,3,2,6,5,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,4,7},{2,3,6},{5}} => [4,3,6,7,5,2,1] => [[[[.,.],[[.,[.,.]],.]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,4},{2,3,6,7},{5}} => [4,3,6,1,5,7,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2,3,6},{5,7}} => [4,3,6,1,7,2,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2,3,6},{5},{7}} => [4,3,6,1,5,2,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 1
{{1,4,7},{2,3},{5,6}} => [4,3,2,7,6,5,1] => [[[[.,.],.],[[[.,.],.],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,4},{2,3,7},{5,6}} => [4,3,7,1,6,5,2] => [[[.,.],[.,.]],[[[.,.],.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2,3},{5,6,7}} => [4,3,2,1,6,7,5] => [[[[.,.],.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2,3},{5,6},{7}} => [4,3,2,1,6,5,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4,7},{2,3},{5},{6}} => [4,3,2,7,5,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,4},{2,3,7},{5},{6}} => [4,3,7,1,5,6,2] => [[[.,.],[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2,3},{5,7},{6}} => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2,3},{5},{6,7}} => [4,3,2,1,5,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2,3},{5},{6},{7}} => [4,3,2,1,5,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,5,6,7},{2,3,4}} => [5,3,4,2,6,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,5,6},{2,3,4,7}} => [5,3,4,7,6,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,5,6},{2,3,4},{7}} => [5,3,4,2,6,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,5,7},{2,3,4,6}} => [5,3,4,6,7,2,1] => [[[[.,.],[.,[.,[.,.]]]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,5},{2,3,4,6,7}} => [5,3,4,6,1,7,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,3,4,6},{7}} => [5,3,4,6,1,2,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5,7},{2,3,4},{6}} => [5,3,4,2,7,6,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,5},{2,3,4,7},{6}} => [5,3,4,7,1,6,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,3,4},{6,7}} => [5,3,4,2,1,7,6] => [[[[.,.],[.,.]],.],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,5},{2,3,4},{6},{7}} => [5,3,4,2,1,6,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,6,7},{2,3,4,5}} => [6,3,4,5,2,7,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,6},{2,3,4,5,7}} => [6,3,4,5,7,1,2] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,6},{2,3,4,5},{7}} => [6,3,4,5,2,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,7},{2,3,4,5,6}} => [7,3,4,5,6,2,1] => [[[[.,.],[.,[.,[.,.]]]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,3,4,5,6,7}} => [1,3,4,5,6,7,2] => [.,[[.,[.,[.,[.,[.,.]]]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2,3,4,5,6},{7}} => [1,3,4,5,6,2,7] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,7},{2,3,4,5},{6}} => [7,3,4,5,2,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,3,4,5,7},{6}} => [1,3,4,5,7,6,2] => [.,[[.,[.,[.,[[.,.],.]]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2,3,4,5},{6,7}} => [1,3,4,5,2,7,6] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,3,4,5},{6},{7}} => [1,3,4,5,2,6,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,6,7},{2,3,4},{5}} => [6,3,4,2,5,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,6},{2,3,4,7},{5}} => [6,3,4,7,5,1,2] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,6},{2,3,4},{5,7}} => [6,3,4,2,7,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2,3,4},{5},{7}} => [6,3,4,2,5,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,7},{2,3,4,6},{5}} => [7,3,4,6,5,2,1] => [[[[.,.],[.,[[.,.],.]]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,3,4,6,7},{5}} => [1,3,4,6,5,7,2] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1},{2,3,4,6},{5,7}} => [1,3,4,6,7,2,5] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,3,4,6},{5},{7}} => [1,3,4,6,5,2,7] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,7},{2,3,4},{5,6}} => [7,3,4,2,6,5,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1},{2,3,4,7},{5,6}} => [1,3,4,7,6,5,2] => [.,[[.,[.,[[[.,.],.],.]]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2,3,4},{5,6,7}} => [1,3,4,2,6,7,5] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,3,4},{5,6},{7}} => [1,3,4,2,6,5,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,7},{2,3,4},{5},{6}} => [7,3,4,2,5,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1},{2,3,4,7},{5},{6}} => [1,3,4,7,5,6,2] => [.,[[.,[.,[[.,.],[.,.]]]],.]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1},{2,3,4},{5,7},{6}} => [1,3,4,2,7,6,5] => [.,[[.,[.,.]],[[[.,.],.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,3,4},{5},{6,7}} => [1,3,4,2,5,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,3,4},{5},{6},{7}} => [1,3,4,2,5,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,5,6,7},{2,3},{4}} => [5,3,2,4,6,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,5,6},{2,3,7},{4}} => [5,3,7,4,6,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,5,6},{2,3},{4,7}} => [5,3,2,7,6,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,5,6},{2,3},{4},{7}} => [5,3,2,4,6,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,5,7},{2,3,6},{4}} => [5,3,6,4,7,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1,5},{2,3,6,7},{4}} => [5,3,6,4,1,7,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,3,6},{4,7}} => [5,3,6,7,1,2,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,3,6},{4},{7}} => [5,3,6,4,1,2,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5,7},{2,3},{4,6}} => [5,3,2,6,7,4,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,5},{2,3,7},{4,6}} => [5,3,7,6,1,4,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,3},{4,6,7}} => [5,3,2,6,1,7,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,3},{4,6},{7}} => [5,3,2,6,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5,7},{2,3},{4},{6}} => [5,3,2,4,7,6,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,5},{2,3,7},{4},{6}} => [5,3,7,4,1,6,2] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,3},{4,7},{6}} => [5,3,2,7,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,3},{4},{6,7}} => [5,3,2,4,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,3},{4},{6},{7}} => [5,3,2,4,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,6,7},{2,3,5},{4}} => [6,3,5,4,2,7,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,6},{2,3,5,7},{4}} => [6,3,5,4,7,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2,3,5},{4,7}} => [6,3,5,7,2,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,6},{2,3,5},{4},{7}} => [6,3,5,4,2,1,7] => [[[[.,.],[[.,.],.]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,7},{2,3,5,6},{4}} => [7,3,5,4,6,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1},{2,3,5,6,7},{4}} => [1,3,5,4,6,7,2] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2,3,5,6},{4,7}} => [1,3,5,7,6,2,4] => [.,[[.,[.,[[.,.],.]]],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,3,5,6},{4},{7}} => [1,3,5,4,6,2,7] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,7},{2,3,5},{4,6}} => [7,3,5,6,2,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,3,5,7},{4,6}} => [1,3,5,6,7,4,2] => [.,[[.,[[.,[.,[.,.]]],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2,3,5},{4,6,7}} => [1,3,5,6,2,7,4] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,3,5},{4,6},{7}} => [1,3,5,6,2,4,7] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,7},{2,3,5},{4},{6}} => [7,3,5,4,2,6,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,3,5,7},{4},{6}} => [1,3,5,4,7,6,2] => [.,[[.,[[.,.],[[.,.],.]]],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2,3,5},{4,7},{6}} => [1,3,5,7,2,6,4] => [.,[[.,[.,[.,.]]],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,3,5},{4},{6,7}} => [1,3,5,4,2,7,6] => [.,[[.,[[.,.],.]],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,3,5},{4},{6},{7}} => [1,3,5,4,2,6,7] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,6,7},{2,3},{4,5}} => [6,3,2,5,4,7,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,6},{2,3,7},{4,5}} => [6,3,7,5,4,1,2] => [[[.,.],[[[.,.],.],.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,6},{2,3},{4,5,7}} => [6,3,2,5,7,1,4] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2,3},{4,5},{7}} => [6,3,2,5,4,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,7},{2,3,6},{4,5}} => [7,3,6,5,4,2,1] => [[[[.,.],[[[.,.],.],.]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,3,6,7},{4,5}} => [1,3,6,5,4,7,2] => [.,[[.,[[[.,.],.],[.,.]]],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2,3,6},{4,5,7}} => [1,3,6,5,7,2,4] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1},{2,3,6},{4,5},{7}} => [1,3,6,5,4,2,7] => [.,[[.,[[[.,.],.],.]],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,7},{2,3},{4,5,6}} => [7,3,2,5,6,4,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,3,7},{4,5,6}} => [1,3,7,5,6,4,2] => [.,[[.,[[[.,.],[.,.]],.]],.]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1},{2,3},{4,5,6,7}} => [1,3,2,5,6,7,4] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,3},{4,5,6},{7}} => [1,3,2,5,6,4,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,7},{2,3},{4,5},{6}} => [7,3,2,5,4,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1},{2,3,7},{4,5},{6}} => [1,3,7,5,4,6,2] => [.,[[.,[[[.,.],.],[.,.]]],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2,3},{4,5,7},{6}} => [1,3,2,5,7,6,4] => [.,[[.,.],[[.,[[.,.],.]],.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,3},{4,5},{6,7}} => [1,3,2,5,4,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,3},{4,5},{6},{7}} => [1,3,2,5,4,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,6,7},{2,3},{4},{5}} => [6,3,2,4,5,7,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,6},{2,3,7},{4},{5}} => [6,3,7,4,5,1,2] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2,3},{4,7},{5}} => [6,3,2,7,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2,3},{4},{5,7}} => [6,3,2,4,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2,3},{4},{5},{7}} => [6,3,2,4,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,7},{2,3,6},{4},{5}} => [7,3,6,4,5,2,1] => [[[[.,.],[[.,.],[.,.]]],.],.] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1},{2,3,6,7},{4},{5}} => [1,3,6,4,5,7,2] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2,3,6},{4,7},{5}} => [1,3,6,7,5,2,4] => [.,[[.,[[.,[.,.]],.]],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,3,6},{4},{5,7}} => [1,3,6,4,7,2,5] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1},{2,3,6},{4},{5},{7}} => [1,3,6,4,5,2,7] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,7},{2,3},{4,6},{5}} => [7,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,3,7},{4,6},{5}} => [1,3,7,6,5,4,2] => [.,[[.,[[[[.,.],.],.],.]],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2,3},{4,6,7},{5}} => [1,3,2,6,5,7,4] => [.,[[.,.],[[[.,.],[.,.]],.]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1},{2,3},{4,6},{5,7}} => [1,3,2,6,7,4,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,3},{4,6},{5},{7}} => [1,3,2,6,5,4,7] => [.,[[.,.],[[[.,.],.],[.,.]]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,7},{2,3},{4},{5,6}} => [7,3,2,4,6,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,3,7},{4},{5,6}} => [1,3,7,4,6,5,2] => [.,[[.,[[.,.],[[.,.],.]]],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2,3},{4,7},{5,6}} => [1,3,2,7,6,5,4] => [.,[[.,.],[[[[.,.],.],.],.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,3},{4},{5,6,7}} => [1,3,2,4,6,7,5] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,3},{4},{5,6},{7}} => [1,3,2,4,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,7},{2,3},{4},{5},{6}} => [7,3,2,4,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,3,7},{4},{5},{6}} => [1,3,7,4,5,6,2] => [.,[[.,[[.,.],[.,[.,.]]]],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2,3},{4,7},{5},{6}} => [1,3,2,7,5,6,4] => [.,[[.,.],[[[.,.],[.,.]],.]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1},{2,3},{4},{5,7},{6}} => [1,3,2,4,7,6,5] => [.,[[.,.],[.,[[[.,.],.],.]]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,3},{4},{5},{6,7}} => [1,3,2,4,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,3},{4},{5},{6},{7}} => [1,3,2,4,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,4,5,6,7},{2},{3}} => [4,2,3,5,6,7,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,4,5,6},{2,7},{3}} => [4,7,3,5,6,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,4,5,6},{2},{3,7}} => [4,2,7,5,6,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,4,5,6},{2},{3},{7}} => [4,2,3,5,6,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,4,5,7},{2,6},{3}} => [4,6,3,5,7,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1,4,5},{2,6,7},{3}} => [4,6,3,5,1,7,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,4,5},{2,6},{3,7}} => [4,6,7,5,1,2,3] => [[.,[[.,[.,.]],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,4,5},{2,6},{3},{7}} => [4,6,3,5,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,4,5,7},{2},{3,6}} => [4,2,6,5,7,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,4,5},{2,7},{3,6}} => [4,7,6,5,1,3,2] => [[.,[[[.,.],.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,4,5},{2},{3,6,7}} => [4,2,6,5,1,7,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,4,5},{2},{3,6},{7}} => [4,2,6,5,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,4,5,7},{2},{3},{6}} => [4,2,3,5,7,6,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,4,5},{2,7},{3},{6}} => [4,7,3,5,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,4,5},{2},{3,7},{6}} => [4,2,7,5,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,4,5},{2},{3},{6,7}} => [4,2,3,5,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,4,5},{2},{3},{6},{7}} => [4,2,3,5,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,4,6,7},{2,5},{3}} => [4,5,3,6,2,7,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,4,6},{2,5,7},{3}} => [4,5,3,6,7,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,4,6},{2,5},{3,7}} => [4,5,7,6,2,1,3] => [[[.,[.,[[.,.],.]]],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,4,6},{2,5},{3},{7}} => [4,5,3,6,2,1,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,4,7},{2,5,6},{3}} => [4,5,3,7,6,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1,4},{2,5,6,7},{3}} => [4,5,3,1,6,7,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2,5,6},{3,7}} => [4,5,7,1,6,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2,5,6},{3},{7}} => [4,5,3,1,6,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4,7},{2,5},{3,6}} => [4,5,6,7,2,3,1] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,4},{2,5,7},{3,6}} => [4,5,6,1,7,3,2] => [[.,[.,[.,.]]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2,5},{3,6,7}} => [4,5,6,1,2,7,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2,5},{3,6},{7}} => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4,7},{2,5},{3},{6}} => [4,5,3,7,2,6,1] => [[[[.,[.,.]],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,4},{2,5,7},{3},{6}} => [4,5,3,1,7,6,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2,5},{3,7},{6}} => [4,5,7,1,2,6,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2,5},{3},{6,7}} => [4,5,3,1,2,7,6] => [[[.,[.,.]],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2,5},{3},{6},{7}} => [4,5,3,1,2,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4,6,7},{2},{3,5}} => [4,2,5,6,3,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,4,6},{2,7},{3,5}} => [4,7,5,6,3,1,2] => [[[.,[[.,.],[.,.]]],.],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,4,6},{2},{3,5,7}} => [4,2,5,6,7,1,3] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,4,6},{2},{3,5},{7}} => [4,2,5,6,3,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,4,7},{2,6},{3,5}} => [4,6,5,7,3,2,1] => [[[[.,[[.,.],[.,.]]],.],.],.] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1,4},{2,6,7},{3,5}} => [4,6,5,1,3,7,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2,6},{3,5,7}} => [4,6,5,1,7,2,3] => [[.,[[.,.],.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2,6},{3,5},{7}} => [4,6,5,1,3,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4,7},{2},{3,5,6}} => [4,2,5,7,6,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,4},{2,7},{3,5,6}} => [4,7,5,1,6,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2},{3,5,6,7}} => [4,2,5,1,6,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2},{3,5,6},{7}} => [4,2,5,1,6,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 1
{{1,4,7},{2},{3,5},{6}} => [4,2,5,7,3,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,4},{2,7},{3,5},{6}} => [4,7,5,1,3,6,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2},{3,5,7},{6}} => [4,2,5,1,7,6,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2},{3,5},{6,7}} => [4,2,5,1,3,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2},{3,5},{6},{7}} => [4,2,5,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4,6,7},{2},{3},{5}} => [4,2,3,6,5,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,4,6},{2,7},{3},{5}} => [4,7,3,6,5,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,4,6},{2},{3,7},{5}} => [4,2,7,6,5,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,4,6},{2},{3},{5,7}} => [4,2,3,6,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,4,6},{2},{3},{5},{7}} => [4,2,3,6,5,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,4,7},{2,6},{3},{5}} => [4,6,3,7,5,2,1] => [[[[.,[.,.]],[[.,.],.]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1,4},{2,6,7},{3},{5}} => [4,6,3,1,5,7,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2,6},{3,7},{5}} => [4,6,7,1,5,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2,6},{3},{5,7}} => [4,6,3,1,7,2,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2,6},{3},{5},{7}} => [4,6,3,1,5,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4,7},{2},{3,6},{5}} => [4,2,6,7,5,3,1] => [[[.,.],[[[.,[.,.]],.],.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,4},{2,7},{3,6},{5}} => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2},{3,6,7},{5}} => [4,2,6,1,5,7,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2},{3,6},{5,7}} => [4,2,6,1,7,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2},{3,6},{5},{7}} => [4,2,6,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 1
{{1,4,7},{2},{3},{5,6}} => [4,2,3,7,6,5,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,4},{2,7},{3},{5,6}} => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2},{3,7},{5,6}} => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2},{3},{5,6,7}} => [4,2,3,1,6,7,5] => [[[.,.],[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2},{3},{5,6},{7}} => [4,2,3,1,6,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,6),(5,6)],7) => 1
{{1,4,7},{2},{3},{5},{6}} => [4,2,3,7,5,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,4},{2,7},{3},{5},{6}} => [4,7,3,1,5,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,6),(3,6),(4,2),(5,3)],7) => 1
{{1,4},{2},{3,7},{5},{6}} => [4,2,7,1,5,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2},{3},{5,7},{6}} => [4,2,3,1,7,6,5] => [[[.,.],[.,.]],[[[.,.],.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2},{3},{5},{6,7}} => [4,2,3,1,5,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,4},{2},{3},{5},{6},{7}} => [4,2,3,1,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,6),(5,6)],7) => 1
{{1,5,6,7},{2,4},{3}} => [5,4,3,2,6,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,5,6},{2,4,7},{3}} => [5,4,3,7,6,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,5,6},{2,4},{3,7}} => [5,4,7,2,6,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,5,6},{2,4},{3},{7}} => [5,4,3,2,6,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,5,7},{2,4,6},{3}} => [5,4,3,6,7,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1,5},{2,4,6,7},{3}} => [5,4,3,6,1,7,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,4,6},{3,7}} => [5,4,7,6,1,2,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,4,6},{3},{7}} => [5,4,3,6,1,2,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5,7},{2,4},{3,6}} => [5,4,6,2,7,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,5},{2,4,7},{3,6}} => [5,4,6,7,1,3,2] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,4},{3,6,7}} => [5,4,6,2,1,7,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,5},{2,4},{3,6},{7}} => [5,4,6,2,1,3,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,5,7},{2,4},{3},{6}} => [5,4,3,2,7,6,1] => [[[[[.,.],.],.],[[.,.],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,5},{2,4,7},{3},{6}} => [5,4,3,7,1,6,2] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,4},{3,7},{6}} => [5,4,7,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,6),(4,6),(5,4)],7) => 1
{{1,5},{2,4},{3},{6,7}} => [5,4,3,2,1,7,6] => [[[[[.,.],.],.],.],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,5},{2,4},{3},{6},{7}} => [5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,6,7},{2,4,5},{3}} => [6,4,3,5,2,7,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,6},{2,4,5,7},{3}} => [6,4,3,5,7,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2,4,5},{3,7}} => [6,4,7,5,2,1,3] => [[[[.,.],[[.,.],.]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,6},{2,4,5},{3},{7}} => [6,4,3,5,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,7},{2,4,5,6},{3}} => [7,4,3,5,6,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2,4,5,6,7},{3}} => [1,4,3,5,6,7,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,4,5,6},{3,7}} => [1,4,7,5,6,2,3] => [.,[[.,[[.,.],[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1},{2,4,5,6},{3},{7}} => [1,4,3,5,6,2,7] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,7},{2,4,5},{3,6}} => [7,4,6,5,2,3,1] => [[[[.,.],[[.,.],.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,4,5,7},{3,6}} => [1,4,6,5,7,3,2] => [.,[[[.,[[.,.],[.,.]]],.],.]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1},{2,4,5},{3,6,7}} => [1,4,6,5,2,7,3] => [.,[[.,[[.,.],.]],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,4,5},{3,6},{7}} => [1,4,6,5,2,3,7] => [.,[[.,[[.,.],.]],[.,[.,.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,7},{2,4,5},{3},{6}} => [7,4,3,5,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,4,5,7},{3},{6}} => [1,4,3,5,7,6,2] => [.,[[[.,.],[.,[[.,.],.]]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,4,5},{3,7},{6}} => [1,4,7,5,2,6,3] => [.,[[.,[[.,.],.]],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,4,5},{3},{6,7}} => [1,4,3,5,2,7,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1},{2,4,5},{3},{6},{7}} => [1,4,3,5,2,6,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,6,7},{2,4},{3,5}} => [6,4,5,2,3,7,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,6},{2,4,7},{3,5}} => [6,4,5,7,3,1,2] => [[[[.,.],[.,[.,.]]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,6},{2,4},{3,5,7}} => [6,4,5,2,7,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2,4},{3,5},{7}} => [6,4,5,2,3,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,7},{2,4,6},{3,5}} => [7,4,5,6,3,2,1] => [[[[[.,.],[.,[.,.]]],.],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2,4,6,7},{3,5}} => [1,4,5,6,3,7,2] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,4,6},{3,5,7}} => [1,4,5,6,7,2,3] => [.,[[.,[.,[.,[.,.]]]],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,4,6},{3,5},{7}} => [1,4,5,6,3,2,7] => [.,[[[.,[.,[.,.]]],.],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,7},{2,4},{3,5,6}} => [7,4,5,2,6,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1},{2,4,7},{3,5,6}} => [1,4,5,7,6,3,2] => [.,[[[.,[.,[[.,.],.]]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2,4},{3,5,6,7}} => [1,4,5,2,6,7,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,4},{3,5,6},{7}} => [1,4,5,2,6,3,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,7},{2,4},{3,5},{6}} => [7,4,5,2,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1},{2,4,7},{3,5},{6}} => [1,4,5,7,3,6,2] => [.,[[[.,[.,[.,.]]],[.,.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,4},{3,5,7},{6}} => [1,4,5,2,7,6,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,4},{3,5},{6,7}} => [1,4,5,2,3,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,4},{3,5},{6},{7}} => [1,4,5,2,3,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,6,7},{2,4},{3},{5}} => [6,4,3,2,5,7,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,6},{2,4,7},{3},{5}} => [6,4,3,7,5,1,2] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2,4},{3,7},{5}} => [6,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2,4},{3},{5,7}} => [6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,6},{2,4},{3},{5},{7}} => [6,4,3,2,5,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,7},{2,4,6},{3},{5}} => [7,4,3,6,5,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2,4,6,7},{3},{5}} => [1,4,3,6,5,7,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1},{2,4,6},{3,7},{5}} => [1,4,7,6,5,2,3] => [.,[[.,[[[.,.],.],.]],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,4,6},{3},{5,7}} => [1,4,3,6,7,2,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,4,6},{3},{5},{7}} => [1,4,3,6,5,2,7] => [.,[[[.,.],[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,7},{2,4},{3,6},{5}} => [7,4,6,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1},{2,4,7},{3,6},{5}} => [1,4,6,7,5,3,2] => [.,[[[.,[[.,[.,.]],.]],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2,4},{3,6,7},{5}} => [1,4,6,2,5,7,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,4},{3,6},{5,7}} => [1,4,6,2,7,3,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1},{2,4},{3,6},{5},{7}} => [1,4,6,2,5,3,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,7},{2,4},{3},{5,6}} => [7,4,3,2,6,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,4,7},{3},{5,6}} => [1,4,3,7,6,5,2] => [.,[[[.,.],[[[.,.],.],.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,4},{3,7},{5,6}} => [1,4,7,2,6,5,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,4},{3},{5,6,7}} => [1,4,3,2,6,7,5] => [.,[[[.,.],.],[[.,[.,.]],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,4},{3},{5,6},{7}} => [1,4,3,2,6,5,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,7},{2,4},{3},{5},{6}} => [7,4,3,2,5,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,4,7},{3},{5},{6}} => [1,4,3,7,5,6,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1},{2,4},{3,7},{5},{6}} => [1,4,7,2,5,6,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,4},{3},{5,7},{6}} => [1,4,3,2,7,6,5] => [.,[[[.,.],.],[[[.,.],.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,4},{3},{5},{6,7}} => [1,4,3,2,5,7,6] => [.,[[[.,.],.],[.,[[.,.],.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,4},{3},{5},{6},{7}} => [1,4,3,2,5,6,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,5,6,7},{2},{3,4}} => [5,2,4,3,6,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,5,6},{2,7},{3,4}} => [5,7,4,3,6,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,5,6},{2},{3,4,7}} => [5,2,4,7,6,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,5,6},{2},{3,4},{7}} => [5,2,4,3,6,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,5,7},{2,6},{3,4}} => [5,6,4,3,7,2,1] => [[[[[.,[.,.]],.],[.,.]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,5},{2,6,7},{3,4}} => [5,6,4,3,1,7,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,5},{2,6},{3,4,7}} => [5,6,4,7,1,2,3] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,6},{3,4},{7}} => [5,6,4,3,1,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,5,7},{2},{3,4,6}} => [5,2,4,6,7,3,1] => [[[.,.],[[.,[.,[.,.]]],.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,5},{2,7},{3,4,6}} => [5,7,4,6,1,3,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2},{3,4,6,7}} => [5,2,4,6,1,7,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2},{3,4,6},{7}} => [5,2,4,6,1,3,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5,7},{2},{3,4},{6}} => [5,2,4,3,7,6,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,5},{2,7},{3,4},{6}} => [5,7,4,3,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,5},{2},{3,4,7},{6}} => [5,2,4,7,1,6,3] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2},{3,4},{6,7}} => [5,2,4,3,1,7,6] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2},{3,4},{6},{7}} => [5,2,4,3,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,6,7},{2,5},{3,4}} => [6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,6},{2,5,7},{3,4}} => [6,5,4,3,7,1,2] => [[[[[.,.],.],.],[.,.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,6},{2,5},{3,4,7}} => [6,5,4,7,2,1,3] => [[[[[.,.],.],[.,.]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,6},{2,5},{3,4},{7}} => [6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,7},{2,5,6},{3,4}} => [7,5,4,3,6,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,5,6,7},{3,4}} => [1,5,4,3,6,7,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2,5,6},{3,4,7}} => [1,5,4,7,6,2,3] => [.,[[[.,.],[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,5,6},{3,4},{7}} => [1,5,4,3,6,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,7},{2,5},{3,4,6}} => [7,5,4,6,2,3,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,5,7},{3,4,6}} => [1,5,4,6,7,3,2] => [.,[[[[.,.],[.,[.,.]]],.],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2,5},{3,4,6,7}} => [1,5,4,6,2,7,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1},{2,5},{3,4,6},{7}} => [1,5,4,6,2,3,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,7},{2,5},{3,4},{6}} => [7,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,5,7},{3,4},{6}} => [1,5,4,3,7,6,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2,5},{3,4,7},{6}} => [1,5,4,7,2,6,3] => [.,[[[.,.],[.,.]],[[.,.],.]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1},{2,5},{3,4},{6,7}} => [1,5,4,3,2,7,6] => [.,[[[[.,.],.],.],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,5},{3,4},{6},{7}} => [1,5,4,3,2,6,7] => [.,[[[[.,.],.],.],[.,[.,.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,6,7},{2},{3,4,5}} => [6,2,4,5,3,7,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,6},{2,7},{3,4,5}} => [6,7,4,5,3,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,6},{2},{3,4,5,7}} => [6,2,4,5,7,1,3] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,6},{2},{3,4,5},{7}} => [6,2,4,5,3,1,7] => [[[.,.],[[.,[.,.]],.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,7},{2,6},{3,4,5}} => [7,6,4,5,3,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2,6,7},{3,4,5}} => [1,6,4,5,3,7,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1},{2,6},{3,4,5,7}} => [1,6,4,5,7,2,3] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,6},{3,4,5},{7}} => [1,6,4,5,3,2,7] => [.,[[[[.,.],[.,.]],.],[.,.]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,7},{2},{3,4,5,6}} => [7,2,4,5,6,3,1] => [[[.,.],[[.,[.,[.,.]]],.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,7},{3,4,5,6}} => [1,7,4,5,6,3,2] => [.,[[[[.,.],[.,[.,.]]],.],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2},{3,4,5,6,7}} => [1,2,4,5,6,7,3] => [.,[.,[[.,[.,[.,[.,.]]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2},{3,4,5,6},{7}} => [1,2,4,5,6,3,7] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,7},{2},{3,4,5},{6}} => [7,2,4,5,3,6,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,7},{3,4,5},{6}} => [1,7,4,5,3,6,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1},{2},{3,4,5,7},{6}} => [1,2,4,5,7,6,3] => [.,[.,[[.,[.,[[.,.],.]]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2},{3,4,5},{6,7}} => [1,2,4,5,3,7,6] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2},{3,4,5},{6},{7}} => [1,2,4,5,3,6,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1,6,7},{2},{3,4},{5}} => [6,2,4,3,5,7,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,6},{2,7},{3,4},{5}} => [6,7,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,6},{2},{3,4,7},{5}} => [6,2,4,7,5,1,3] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,6},{2},{3,4},{5,7}} => [6,2,4,3,7,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2},{3,4},{5},{7}} => [6,2,4,3,5,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,7},{2,6},{3,4},{5}} => [7,6,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,6,7},{3,4},{5}} => [1,6,4,3,5,7,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2,6},{3,4,7},{5}} => [1,6,4,7,5,2,3] => [.,[[[.,.],[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,6},{3,4},{5,7}} => [1,6,4,3,7,2,5] => [.,[[[[.,.],.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,6},{3,4},{5},{7}} => [1,6,4,3,5,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,7},{2},{3,4,6},{5}} => [7,2,4,6,5,3,1] => [[[.,.],[[.,[[.,.],.]],.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,7},{3,4,6},{5}} => [1,7,4,6,5,3,2] => [.,[[[[.,.],[[.,.],.]],.],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2},{3,4,6,7},{5}} => [1,2,4,6,5,7,3] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1},{2},{3,4,6},{5,7}} => [1,2,4,6,7,3,5] => [.,[.,[[.,[.,[.,.]]],[.,.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2},{3,4,6},{5},{7}} => [1,2,4,6,5,3,7] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,7},{2},{3,4},{5,6}} => [7,2,4,3,6,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,7},{3,4},{5,6}} => [1,7,4,3,6,5,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2},{3,4,7},{5,6}} => [1,2,4,7,6,5,3] => [.,[.,[[.,[[[.,.],.],.]],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2},{3,4},{5,6,7}} => [1,2,4,3,6,7,5] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2},{3,4},{5,6},{7}} => [1,2,4,3,6,5,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1,7},{2},{3,4},{5},{6}} => [7,2,4,3,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,7},{3,4},{5},{6}} => [1,7,4,3,5,6,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2},{3,4,7},{5},{6}} => [1,2,4,7,5,6,3] => [.,[.,[[.,[[.,.],[.,.]]],.]]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1},{2},{3,4},{5,7},{6}} => [1,2,4,3,7,6,5] => [.,[.,[[.,.],[[[.,.],.],.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2},{3,4},{5},{6,7}} => [1,2,4,3,5,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2},{3,4},{5},{6},{7}} => [1,2,4,3,5,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,5,6,7},{2},{3},{4}} => [5,2,3,4,6,7,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,5,6},{2,7},{3},{4}} => [5,7,3,4,6,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,5,6},{2},{3,7},{4}} => [5,2,7,4,6,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,5,6},{2},{3},{4,7}} => [5,2,3,7,6,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,5,6},{2},{3},{4},{7}} => [5,2,3,4,6,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,5,7},{2,6},{3},{4}} => [5,6,3,4,7,2,1] => [[[[.,[.,.]],[.,[.,.]]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1,5},{2,6,7},{3},{4}} => [5,6,3,4,1,7,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,6},{3,7},{4}} => [5,6,7,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,5},{2,6},{3},{4,7}} => [5,6,3,7,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2,6},{3},{4},{7}} => [5,6,3,4,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5,7},{2},{3,6},{4}} => [5,2,6,4,7,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,5},{2,7},{3,6},{4}} => [5,7,6,4,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => ([(0,5),(1,3),(2,6),(3,6),(4,2),(5,4)],7) => 1
{{1,5},{2},{3,6,7},{4}} => [5,2,6,4,1,7,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2},{3,6},{4,7}} => [5,2,6,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2},{3,6},{4},{7}} => [5,2,6,4,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5,7},{2},{3},{4,6}} => [5,2,3,6,7,4,1] => [[[.,.],[.,[[.,[.,.]],.]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,5},{2,7},{3},{4,6}} => [5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2},{3,7},{4,6}} => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2},{3},{4,6,7}} => [5,2,3,6,1,7,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2},{3},{4,6},{7}} => [5,2,3,6,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5,7},{2},{3},{4},{6}} => [5,2,3,4,7,6,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,5},{2,7},{3},{4},{6}} => [5,7,3,4,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2},{3,7},{4},{6}} => [5,2,7,4,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2},{3},{4,7},{6}} => [5,2,3,7,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2},{3},{4},{6,7}} => [5,2,3,4,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,5},{2},{3},{4},{6},{7}} => [5,2,3,4,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,3),(2,4),(3,6),(4,5),(5,6)],7) => 1
{{1,6,7},{2,5},{3},{4}} => [6,5,3,4,2,7,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,6},{2,5,7},{3},{4}} => [6,5,3,4,7,1,2] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2,5},{3,7},{4}} => [6,5,7,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 1
{{1,6},{2,5},{3},{4,7}} => [6,5,3,7,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,6},{2,5},{3},{4},{7}} => [6,5,3,4,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 1
{{1,7},{2,5,6},{3},{4}} => [7,5,3,4,6,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2,5,6,7},{3},{4}} => [1,5,3,4,6,7,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,5,6},{3,7},{4}} => [1,5,7,4,6,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,5,6},{3},{4,7}} => [1,5,3,7,6,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,5,6},{3},{4},{7}} => [1,5,3,4,6,2,7] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,7},{2,5},{3,6},{4}} => [7,5,6,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1},{2,5,7},{3,6},{4}} => [1,5,6,4,7,3,2] => [.,[[[[.,[.,.]],[.,.]],.],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2,5},{3,6,7},{4}} => [1,5,6,4,2,7,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,5},{3,6},{4,7}} => [1,5,6,7,2,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,5},{3,6},{4},{7}} => [1,5,6,4,2,3,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1,7},{2,5},{3},{4,6}} => [7,5,3,6,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,5,7},{3},{4,6}} => [1,5,3,6,7,4,2] => [.,[[[.,.],[[.,[.,.]],.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,5},{3,7},{4,6}} => [1,5,7,6,2,4,3] => [.,[[.,[[.,.],.]],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,5},{3},{4,6,7}} => [1,5,3,6,2,7,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1},{2,5},{3},{4,6},{7}} => [1,5,3,6,2,4,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,7},{2,5},{3},{4},{6}} => [7,5,3,4,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,5,7},{3},{4},{6}} => [1,5,3,4,7,6,2] => [.,[[[.,.],[.,[[.,.],.]]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,5},{3,7},{4},{6}} => [1,5,7,4,2,6,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => ([(0,4),(1,5),(2,6),(4,6),(5,2),(6,3)],7) => 1
{{1},{2,5},{3},{4,7},{6}} => [1,5,3,7,2,6,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1},{2,5},{3},{4},{6,7}} => [1,5,3,4,2,7,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1},{2,5},{3},{4},{6},{7}} => [1,5,3,4,2,6,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => ([(0,5),(1,5),(2,3),(3,6),(5,6),(6,4)],7) => 1
{{1,6,7},{2},{3,5},{4}} => [6,2,5,4,3,7,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,6},{2,7},{3,5},{4}} => [6,7,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 1
{{1,6},{2},{3,5,7},{4}} => [6,2,5,4,7,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2},{3,5},{4,7}} => [6,2,5,7,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,6},{2},{3,5},{4},{7}} => [6,2,5,4,3,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,7},{2,6},{3,5},{4}} => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2,6,7},{3,5},{4}} => [1,6,5,4,3,7,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,6},{3,5,7},{4}} => [1,6,5,4,7,2,3] => [.,[[[[.,.],.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,6},{3,5},{4,7}} => [1,6,5,7,3,2,4] => [.,[[[[.,.],[.,.]],.],[.,.]]] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1},{2,6},{3,5},{4},{7}} => [1,6,5,4,3,2,7] => [.,[[[[[.,.],.],.],.],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,7},{2},{3,5,6},{4}} => [7,2,5,4,6,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1},{2,7},{3,5,6},{4}} => [1,7,5,4,6,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2},{3,5,6,7},{4}} => [1,2,5,4,6,7,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2},{3,5,6},{4,7}} => [1,2,5,7,6,3,4] => [.,[.,[[.,[[.,.],.]],[.,.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2},{3,5,6},{4},{7}} => [1,2,5,4,6,3,7] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1,7},{2},{3,5},{4,6}} => [7,2,5,6,3,4,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,7},{3,5},{4,6}} => [1,7,5,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1},{2},{3,5,7},{4,6}} => [1,2,5,6,7,4,3] => [.,[.,[[[.,[.,[.,.]]],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2},{3,5},{4,6,7}} => [1,2,5,6,3,7,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2},{3,5},{4,6},{7}} => [1,2,5,6,3,4,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1,7},{2},{3,5},{4},{6}} => [7,2,5,4,3,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,7},{3,5},{4},{6}} => [1,7,5,4,3,6,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2},{3,5,7},{4},{6}} => [1,2,5,4,7,6,3] => [.,[.,[[[.,.],[[.,.],.]],.]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2},{3,5},{4,7},{6}} => [1,2,5,7,3,6,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2},{3,5},{4},{6,7}} => [1,2,5,4,3,7,6] => [.,[.,[[[.,.],.],[[.,.],.]]]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2},{3,5},{4},{6},{7}} => [1,2,5,4,3,6,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1,6,7},{2},{3},{4,5}} => [6,2,3,5,4,7,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1,6},{2,7},{3},{4,5}} => [6,7,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2},{3,7},{4,5}} => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,6},{2},{3},{4,5,7}} => [6,2,3,5,7,1,4] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,6},{2},{3},{4,5},{7}} => [6,2,3,5,4,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,7},{2,6},{3},{4,5}} => [7,6,3,5,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2,6,7},{3},{4,5}} => [1,6,3,5,4,7,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1},{2,6},{3,7},{4,5}} => [1,6,7,5,4,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,6},{3},{4,5,7}} => [1,6,3,5,7,2,4] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,6},{3},{4,5},{7}} => [1,6,3,5,4,2,7] => [.,[[[.,.],[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,7},{2},{3,6},{4,5}} => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,7},{3,6},{4,5}} => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2},{3,6,7},{4,5}} => [1,2,6,5,4,7,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2},{3,6},{4,5,7}} => [1,2,6,5,7,3,4] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1},{2},{3,6},{4,5},{7}} => [1,2,6,5,4,3,7] => [.,[.,[[[[.,.],.],.],[.,.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1,7},{2},{3},{4,5,6}} => [7,2,3,5,6,4,1] => [[[.,.],[.,[[.,[.,.]],.]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,7},{3},{4,5,6}} => [1,7,3,5,6,4,2] => [.,[[[.,.],[[.,[.,.]],.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2},{3,7},{4,5,6}} => [1,2,7,5,6,4,3] => [.,[.,[[[[.,.],[.,.]],.],.]]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1},{2},{3},{4,5,6,7}} => [1,2,3,5,6,7,4] => [.,[.,[.,[[.,[.,[.,.]]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2},{3},{4,5,6},{7}} => [1,2,3,5,6,4,7] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,7},{2},{3},{4,5},{6}} => [7,2,3,5,4,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1},{2,7},{3},{4,5},{6}} => [1,7,3,5,4,6,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1},{2},{3,7},{4,5},{6}} => [1,2,7,5,4,6,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2},{3},{4,5,7},{6}} => [1,2,3,5,7,6,4] => [.,[.,[.,[[.,[[.,.],.]],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2},{3},{4,5},{6,7}} => [1,2,3,5,4,7,6] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2},{3},{4,5},{6},{7}} => [1,2,3,5,4,6,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,6,7},{2},{3},{4},{5}} => [6,2,3,4,5,7,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1,6},{2,7},{3},{4},{5}} => [6,7,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2},{3,7},{4},{5}} => [6,2,7,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 1
{{1,6},{2},{3},{4,7},{5}} => [6,2,3,7,5,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,6},{2},{3},{4},{5,7}} => [6,2,3,4,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,6},{2},{3},{4},{5},{7}} => [6,2,3,4,5,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 1
{{1,7},{2,6},{3},{4},{5}} => [7,6,3,4,5,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => ([(0,4),(1,3),(3,6),(4,6),(5,2),(6,5)],7) => 1
{{1},{2,6,7},{3},{4},{5}} => [1,6,3,4,5,7,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2,6},{3,7},{4},{5}} => [1,6,7,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,6},{3},{4,7},{5}} => [1,6,3,7,5,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,6},{3},{4},{5,7}} => [1,6,3,4,7,2,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1},{2,6},{3},{4},{5},{7}} => [1,6,3,4,5,2,7] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 1
{{1,7},{2},{3,6},{4},{5}} => [7,2,6,4,5,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 1
{{1},{2,7},{3,6},{4},{5}} => [1,7,6,4,5,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2},{3,6,7},{4},{5}} => [1,2,6,4,5,7,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2},{3,6},{4,7},{5}} => [1,2,6,7,5,3,4] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2},{3,6},{4},{5,7}} => [1,2,6,4,7,3,5] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1},{2},{3,6},{4},{5},{7}} => [1,2,6,4,5,3,7] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 1
{{1,7},{2},{3},{4,6},{5}} => [7,2,3,6,5,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,7},{3},{4,6},{5}} => [1,7,3,6,5,4,2] => [.,[[[.,.],[[[.,.],.],.]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2},{3,7},{4,6},{5}} => [1,2,7,6,5,4,3] => [.,[.,[[[[[.,.],.],.],.],.]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2},{3},{4,6,7},{5}} => [1,2,3,6,5,7,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1},{2},{3},{4,6},{5,7}} => [1,2,3,6,7,4,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2},{3},{4,6},{5},{7}} => [1,2,3,6,5,4,7] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1,7},{2},{3},{4},{5,6}} => [7,2,3,4,6,5,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,7},{3},{4},{5,6}} => [1,7,3,4,6,5,2] => [.,[[[.,.],[.,[[.,.],.]]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2},{3,7},{4},{5,6}} => [1,2,7,4,6,5,3] => [.,[.,[[[.,.],[[.,.],.]],.]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2},{3},{4,7},{5,6}} => [1,2,3,7,6,5,4] => [.,[.,[.,[[[[.,.],.],.],.]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2},{3},{4},{5,6,7}} => [1,2,3,4,6,7,5] => [.,[.,[.,[.,[[.,[.,.]],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2},{3},{4},{5,6},{7}} => [1,2,3,4,6,5,7] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1,7},{2},{3},{4},{5},{6}} => [7,2,3,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 1
{{1},{2,7},{3},{4},{5},{6}} => [1,7,3,4,5,6,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 1
{{1},{2},{3,7},{4},{5},{6}} => [1,2,7,4,5,6,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 1
{{1},{2},{3},{4,7},{5},{6}} => [1,2,3,7,5,6,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 1
{{1},{2},{3},{4},{5,7},{6}} => [1,2,3,4,7,6,5] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2},{3},{4},{5},{6,7}} => [1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
{{1},{2},{3},{4},{5},{6},{7}} => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
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Generating function
F1=1
F2=2 q
F3=5 q
F4=15 q
F5=52 q
F6=203 q
F7=877 q
Description
The maximal number of elements covered by an element in a poset.
Map
to permutation
Description
Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.
Map
to increasing tree
Description
Sends a permutation to its associated increasing tree.
This tree is recursively obtained by sending the unique permutation of length 0 to the empty tree, and sending a permutation σ of length n≥1 to a root node with two subtrees L and R by splitting σ at the index σ−1(1), normalizing both sides again to permutations and sending the permutations on the left and on the right of σ−1(1) to the trees L and R, respectively.
This tree is recursively obtained by sending the unique permutation of length 0 to the empty tree, and sending a permutation σ of length n≥1 to a root node with two subtrees L and R by splitting σ at the index σ−1(1), normalizing both sides again to permutations and sending the permutations on the left and on the right of σ−1(1) to the trees L and R, respectively.
Map
to poset
Description
Return the poset obtained by interpreting the tree as a Hasse diagram.
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