- FindStat

Identifier

Mp00080: Set partitions —to permutation⟶ Permutations
Mp00072: Permutations —binary search tree: left to right⟶ Binary trees
Mp00011: Binary trees —to graph⟶ Graphs
St000778: Graphs ⟶ 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),(1,2)],3) => 1

{{1,2},{3}} => [2,1,3] => [[.,.],[.,.]] => ([(0,2),(1,2)],3) => 1

{{1,3},{2}} => [3,2,1] => [[[.,.],.],.] => ([(0,2),(1,2)],3) => 1

{{1},{2,3}} => [1,3,2] => [.,[[.,.],.]] => ([(0,2),(1,2)],3) => 1

{{1},{2},{3}} => [1,2,3] => [.,[.,[.,.]]] => ([(0,2),(1,2)],3) => 1

{{1,2,3,4}} => [2,3,4,1] => [[.,.],[.,[.,.]]] => ([(0,3),(1,2),(2,3)],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),(1,2),(2,3)],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),(1,2),(2,3)],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),(1,2),(2,3)],4) => 1

{{1},{2,3,4}} => [1,3,4,2] => [.,[[.,.],[.,.]]] => ([(0,3),(1,3),(2,3)],4) => 2

{{1},{2,3},{4}} => [1,3,2,4] => [.,[[.,.],[.,.]]] => ([(0,3),(1,3),(2,3)],4) => 2

{{1,4},{2},{3}} => [4,2,3,1] => [[[.,.],[.,.]],.] => ([(0,3),(1,3),(2,3)],4) => 2

{{1},{2,4},{3}} => [1,4,3,2] => [.,[[[.,.],.],.]] => ([(0,3),(1,2),(2,3)],4) => 1

{{1},{2},{3,4}} => [1,2,4,3] => [.,[.,[[.,.],.]]] => ([(0,3),(1,2),(2,3)],4) => 1

{{1},{2},{3},{4}} => [1,2,3,4] => [.,[.,[.,[.,.]]]] => ([(0,3),(1,2),(2,3)],4) => 1

{{1,2,3,4,5}} => [2,3,4,5,1] => [[.,.],[.,[.,[.,.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,2,3,4},{5}} => [2,3,4,1,5] => [[.,.],[.,[.,[.,.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,2,3,5},{4}} => [2,3,5,4,1] => [[.,.],[.,[[.,.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,2,3},{4,5}} => [2,3,1,5,4] => [[.,.],[.,[[.,.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,2,3},{4},{5}} => [2,3,1,4,5] => [[.,.],[.,[.,[.,.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,2,4,5},{3}} => [2,4,3,5,1] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1,2,4},{3,5}} => [2,4,5,1,3] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1,2,4},{3},{5}} => [2,4,3,1,5] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1,2,5},{3,4}} => [2,5,4,3,1] => [[.,.],[[[.,.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,2},{3,4,5}} => [2,1,4,5,3] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1,2},{3,4},{5}} => [2,1,4,3,5] => [[.,.],[[.,.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1,2,5},{3},{4}} => [2,5,3,4,1] => [[.,.],[[.,[.,.]],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,2},{3,5},{4}} => [2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,2},{3},{4,5}} => [2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,2},{3},{4},{5}} => [2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,3,4,5},{2}} => [3,2,4,5,1] => [[[.,.],.],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,3,4},{2,5}} => [3,5,4,1,2] => [[.,[.,.]],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,3,4},{2},{5}} => [3,2,4,1,5] => [[[.,.],.],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,3,5},{2,4}} => [3,4,5,2,1] => [[[.,.],.],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,3},{2,4,5}} => [3,4,1,5,2] => [[.,[.,.]],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,3},{2,4},{5}} => [3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,3,5},{2},{4}} => [3,2,5,4,1] => [[[.,.],.],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,3},{2,5},{4}} => [3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,3},{2},{4,5}} => [3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,3},{2},{4},{5}} => [3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,4,5},{2,3}} => [4,3,2,5,1] => [[[[.,.],.],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,4},{2,3,5}} => [4,3,5,1,2] => [[[.,[.,.]],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,4},{2,3},{5}} => [4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,5},{2,3,4}} => [5,3,4,2,1] => [[[[.,.],.],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1},{2,3,4,5}} => [1,3,4,5,2] => [.,[[.,.],[.,[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1},{2,3,4},{5}} => [1,3,4,2,5] => [.,[[.,.],[.,[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1,5},{2,3},{4}} => [5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1},{2,3,5},{4}} => [1,3,5,4,2] => [.,[[.,.],[[.,.],.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1},{2,3},{4,5}} => [1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1},{2,3},{4},{5}} => [1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1,4,5},{2},{3}} => [4,2,3,5,1] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1,4},{2,5},{3}} => [4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,4},{2},{3,5}} => [4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1,4},{2},{3},{5}} => [4,2,3,1,5] => [[[.,.],[.,.]],[.,.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1,5},{2,4},{3}} => [5,4,3,2,1] => [[[[[.,.],.],.],.],.] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1},{2,4,5},{3}} => [1,4,3,5,2] => [.,[[[.,.],.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1},{2,4},{3,5}} => [1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1},{2,4},{3},{5}} => [1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1,5},{2},{3,4}} => [5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1},{2,5},{3,4}} => [1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1},{2},{3,4,5}} => [1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1},{2},{3,4},{5}} => [1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1,5},{2},{3},{4}} => [5,2,3,4,1] => [[[.,.],[.,[.,.]]],.] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1},{2,5},{3},{4}} => [1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => ([(0,4),(1,4),(2,3),(3,4)],5) => 2

{{1},{2},{3,5},{4}} => [1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1},{2},{3},{4,5}} => [1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1},{2},{3},{4},{5}} => [1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => ([(0,4),(1,3),(2,3),(2,4)],5) => 1

{{1,2,3,4,5,6}} => [2,3,4,5,6,1] => [[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2,3,4,5},{6}} => [2,3,4,5,1,6] => [[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2,3,4,6},{5}} => [2,3,4,6,5,1] => [[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2,3,4},{5,6}} => [2,3,4,1,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2,3,4},{5},{6}} => [2,3,4,1,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2,3,5,6},{4}} => [2,3,5,4,6,1] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,2,3,5},{4,6}} => [2,3,5,6,1,4] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,2,3,5},{4},{6}} => [2,3,5,4,1,6] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,2,3,6},{4,5}} => [2,3,6,5,4,1] => [[.,.],[.,[[[.,.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2,3},{4,5,6}} => [2,3,1,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,2,3},{4,5},{6}} => [2,3,1,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,2,3,6},{4},{5}} => [2,3,6,4,5,1] => [[.,.],[.,[[.,[.,.]],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2,3},{4,6},{5}} => [2,3,1,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2,3},{4},{5,6}} => [2,3,1,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2,3},{4},{5},{6}} => [2,3,1,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2,4,5,6},{3}} => [2,4,3,5,6,1] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,4,5},{3,6}} => [2,4,6,5,1,3] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,4,5},{3},{6}} => [2,4,3,5,1,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,4,6},{3,5}} => [2,4,5,6,3,1] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,4},{3,5,6}} => [2,4,5,1,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,4},{3,5},{6}} => [2,4,5,1,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,4,6},{3},{5}} => [2,4,3,6,5,1] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,4},{3,6},{5}} => [2,4,6,1,5,3] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,4},{3},{5,6}} => [2,4,3,1,6,5] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,4},{3},{5},{6}} => [2,4,3,1,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,5,6},{3,4}} => [2,5,4,3,6,1] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

>>> Load all 1155 entries. <<<

{{1,2,5},{3,4,6}} => [2,5,4,6,1,3] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,5},{3,4},{6}} => [2,5,4,3,1,6] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,6},{3,4,5}} => [2,6,4,5,3,1] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,2},{3,4,5,6}} => [2,1,4,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2},{3,4,5},{6}} => [2,1,4,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,6},{3,4},{5}} => [2,6,4,3,5,1] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,2},{3,4,6},{5}} => [2,1,4,6,5,3] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2},{3,4},{5,6}} => [2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2},{3,4},{5},{6}} => [2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,5,6},{3},{4}} => [2,5,3,4,6,1] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,5},{3,6},{4}} => [2,5,6,4,1,3] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,5},{3},{4,6}} => [2,5,3,6,1,4] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,5},{3},{4},{6}} => [2,5,3,4,1,6] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,6},{3,5},{4}} => [2,6,5,4,3,1] => [[.,.],[[[[.,.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2},{3,5,6},{4}} => [2,1,5,4,6,3] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2},{3,5},{4,6}} => [2,1,5,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2},{3,5},{4},{6}} => [2,1,5,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,2,6},{3},{4,5}} => [2,6,3,5,4,1] => [[.,.],[[.,[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2},{3,6},{4,5}} => [2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2},{3},{4,5,6}} => [2,1,3,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,2},{3},{4,5},{6}} => [2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,2,6},{3},{4},{5}} => [2,6,3,4,5,1] => [[.,.],[[.,[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2},{3,6},{4},{5}} => [2,1,6,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,2},{3},{4,6},{5}} => [2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2},{3},{4},{5,6}} => [2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2},{3},{4},{5},{6}} => [2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,4,5,6},{2}} => [3,2,4,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,4,5},{2,6}} => [3,6,4,5,1,2] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,4,5},{2},{6}} => [3,2,4,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,4,6},{2,5}} => [3,5,4,6,2,1] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,3,4},{2,5,6}} => [3,5,4,1,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,3,4},{2,5},{6}} => [3,5,4,1,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,3,4,6},{2},{5}} => [3,2,4,6,5,1] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,4},{2,6},{5}} => [3,6,4,1,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,4},{2},{5,6}} => [3,2,4,1,6,5] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,4},{2},{5},{6}} => [3,2,4,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,5,6},{2,4}} => [3,4,5,2,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,5},{2,4,6}} => [3,4,5,6,1,2] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,5},{2,4},{6}} => [3,4,5,2,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,6},{2,4,5}} => [3,4,6,5,2,1] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3},{2,4,5,6}} => [3,4,1,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3},{2,4,5},{6}} => [3,4,1,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,6},{2,4},{5}} => [3,4,6,2,5,1] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3},{2,4,6},{5}} => [3,4,1,6,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3},{2,4},{5,6}} => [3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3},{2,4},{5},{6}} => [3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,5,6},{2},{4}} => [3,2,5,4,6,1] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,3,5},{2,6},{4}} => [3,6,5,4,1,2] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3,5},{2},{4,6}} => [3,2,5,6,1,4] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,3,5},{2},{4},{6}} => [3,2,5,4,1,6] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,3,6},{2,5},{4}} => [3,5,6,4,2,1] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,3},{2,5,6},{4}} => [3,5,1,4,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,3},{2,5},{4,6}} => [3,5,1,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,3},{2,5},{4},{6}} => [3,5,1,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,3,6},{2},{4,5}} => [3,2,6,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3},{2,6},{4,5}} => [3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3},{2},{4,5,6}} => [3,2,1,5,6,4] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,3},{2},{4,5},{6}} => [3,2,1,5,4,6] => [[[.,.],.],[[.,.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,3,6},{2},{4},{5}} => [3,2,6,4,5,1] => [[[.,.],.],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3},{2,6},{4},{5}} => [3,6,1,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3},{2},{4,6},{5}} => [3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3},{2},{4},{5,6}} => [3,2,1,4,6,5] => [[[.,.],.],[.,[[.,.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,3},{2},{4},{5},{6}} => [3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4,5,6},{2,3}} => [4,3,2,5,6,1] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4,5},{2,3,6}} => [4,3,6,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4,5},{2,3},{6}} => [4,3,2,5,1,6] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4,6},{2,3,5}} => [4,3,5,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4},{2,3,5,6}} => [4,3,5,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4},{2,3,5},{6}} => [4,3,5,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4,6},{2,3},{5}} => [4,3,2,6,5,1] => [[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4},{2,3,6},{5}} => [4,3,6,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4},{2,3},{5,6}} => [4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4},{2,3},{5},{6}} => [4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,5,6},{2,3,4}} => [5,3,4,2,6,1] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,5},{2,3,4,6}} => [5,3,4,6,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,5},{2,3,4},{6}} => [5,3,4,2,1,6] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,6},{2,3,4,5}} => [6,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2,3,4,5,6}} => [1,3,4,5,6,2] => [.,[[.,.],[.,[.,[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,3,4,5},{6}} => [1,3,4,5,2,6] => [.,[[.,.],[.,[.,[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,6},{2,3,4},{5}} => [6,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2,3,4,6},{5}} => [1,3,4,6,5,2] => [.,[[.,.],[.,[[.,.],.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,3,4},{5,6}} => [1,3,4,2,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,3,4},{5},{6}} => [1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,5,6},{2,3},{4}} => [5,3,2,4,6,1] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,5},{2,3,6},{4}} => [5,3,6,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,5},{2,3},{4,6}} => [5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,5},{2,3},{4},{6}} => [5,3,2,4,1,6] => [[[[.,.],.],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,6},{2,3,5},{4}} => [6,3,5,4,2,1] => [[[[.,.],.],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2,3,5,6},{4}} => [1,3,5,4,6,2] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

{{1},{2,3,5},{4,6}} => [1,3,5,6,2,4] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

{{1},{2,3,5},{4},{6}} => [1,3,5,4,2,6] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

{{1,6},{2,3},{4,5}} => [6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2,3,6},{4,5}} => [1,3,6,5,4,2] => [.,[[.,.],[[[.,.],.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,3},{4,5,6}} => [1,3,2,5,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

{{1},{2,3},{4,5},{6}} => [1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

{{1,6},{2,3},{4},{5}} => [6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2,3,6},{4},{5}} => [1,3,6,4,5,2] => [.,[[.,.],[[.,[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,3},{4,6},{5}} => [1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,3},{4},{5,6}} => [1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,3},{4},{5},{6}} => [1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,4,5,6},{2},{3}} => [4,2,3,5,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,4,5},{2,6},{3}} => [4,6,3,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4,5},{2},{3,6}} => [4,2,6,5,1,3] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,4,5},{2},{3},{6}} => [4,2,3,5,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,4,6},{2,5},{3}} => [4,5,3,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4},{2,5,6},{3}} => [4,5,3,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4},{2,5},{3,6}} => [4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4},{2,5},{3},{6}} => [4,5,3,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4,6},{2},{3,5}} => [4,2,5,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,4},{2,6},{3,5}} => [4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4},{2},{3,5,6}} => [4,2,5,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,4},{2},{3,5},{6}} => [4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,4,6},{2},{3},{5}} => [4,2,3,6,5,1] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,4},{2,6},{3},{5}} => [4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,4},{2},{3,6},{5}} => [4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,4},{2},{3},{5,6}} => [4,2,3,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,4},{2},{3},{5},{6}} => [4,2,3,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,5,6},{2,4},{3}} => [5,4,3,2,6,1] => [[[[[.,.],.],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,5},{2,4,6},{3}} => [5,4,3,6,1,2] => [[[[.,[.,.]],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,5},{2,4},{3,6}} => [5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,5},{2,4},{3},{6}} => [5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,6},{2,4,5},{3}} => [6,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,4,5,6},{3}} => [1,4,3,5,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2,4,5},{3,6}} => [1,4,6,5,2,3] => [.,[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2,4,5},{3},{6}} => [1,4,3,5,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,6},{2,4},{3,5}} => [6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

{{1},{2,4,6},{3,5}} => [1,4,5,6,3,2] => [.,[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2,4},{3,5,6}} => [1,4,5,2,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2,4},{3,5},{6}} => [1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,6},{2,4},{3},{5}} => [6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,4,6},{3},{5}} => [1,4,3,6,5,2] => [.,[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2,4},{3,6},{5}} => [1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2,4},{3},{5,6}} => [1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2,4},{3},{5},{6}} => [1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,5,6},{2},{3,4}} => [5,2,4,3,6,1] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,5},{2,6},{3,4}} => [5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,5},{2},{3,4,6}} => [5,2,4,6,1,3] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,5},{2},{3,4},{6}} => [5,2,4,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,6},{2,5},{3,4}} => [6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1},{2,5,6},{3,4}} => [1,5,4,3,6,2] => [.,[[[[.,.],.],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,5},{3,4,6}} => [1,5,4,6,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,5},{3,4},{6}} => [1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,6},{2},{3,4,5}} => [6,2,4,5,3,1] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

{{1},{2,6},{3,4,5}} => [1,6,4,5,3,2] => [.,[[[[.,.],.],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2},{3,4,5,6}} => [1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2},{3,4,5},{6}} => [1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,6},{2},{3,4},{5}} => [6,2,4,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

{{1},{2,6},{3,4},{5}} => [1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2},{3,4,6},{5}} => [1,2,4,6,5,3] => [.,[.,[[.,.],[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2},{3,4},{5,6}} => [1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2},{3,4},{5},{6}} => [1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,5,6},{2},{3},{4}} => [5,2,3,4,6,1] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,5},{2,6},{3},{4}} => [5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,5},{2},{3,6},{4}} => [5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,5},{2},{3},{4,6}} => [5,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,5},{2},{3},{4},{6}} => [5,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,6},{2,5},{3},{4}} => [6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2,5,6},{3},{4}} => [1,5,3,4,6,2] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

{{1},{2,5},{3,6},{4}} => [1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,5},{3},{4,6}} => [1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

{{1},{2,5},{3},{4},{6}} => [1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 2

{{1,6},{2},{3,5},{4}} => [6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,6},{3,5},{4}} => [1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1},{2},{3,5,6},{4}} => [1,2,5,4,6,3] => [.,[.,[[[.,.],.],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2},{3,5},{4,6}} => [1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2},{3,5},{4},{6}} => [1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1,6},{2},{3},{4,5}} => [6,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,6},{3},{4,5}} => [1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2},{3,6},{4,5}} => [1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1},{2},{3},{4,5,6}} => [1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2},{3},{4,5},{6}} => [1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1,6},{2},{3},{4},{5}} => [6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2,6},{3},{4},{5}} => [1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(3,5),(4,5)],6) => 2

{{1},{2},{3,6},{4},{5}} => [1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 2

{{1},{2},{3},{4,6},{5}} => [1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1},{2},{3},{4},{5,6}} => [1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1},{2},{3},{4},{5},{6}} => [1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => ([(0,5),(1,4),(2,3),(2,4),(3,5)],6) => 1

{{1,2,3,4,5,6,7}} => [2,3,4,5,6,7,1] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3,4,5,6},{7}} => [2,3,4,5,6,1,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3,4,5,7},{6}} => [2,3,4,5,7,6,1] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3,4,5},{6,7}} => [2,3,4,5,1,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3,4,5},{6},{7}} => [2,3,4,5,1,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3,4,6,7},{5}} => [2,3,4,6,5,7,1] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2,3,4,6},{5,7}} => [2,3,4,6,7,1,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2,3,4,6},{5},{7}} => [2,3,4,6,5,1,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2,3,4,7},{5,6}} => [2,3,4,7,6,5,1] => [[.,.],[.,[.,[[[.,.],.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3,4},{5,6,7}} => [2,3,4,1,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2,3,4},{5,6},{7}} => [2,3,4,1,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2,3,4,7},{5},{6}} => [2,3,4,7,5,6,1] => [[.,.],[.,[.,[[.,[.,.]],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3,4},{5,7},{6}} => [2,3,4,1,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3,4},{5},{6,7}} => [2,3,4,1,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3,4},{5},{6},{7}} => [2,3,4,1,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3,5,6,7},{4}} => [2,3,5,4,6,7,1] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,5,6},{4,7}} => [2,3,5,7,6,1,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,5,6},{4},{7}} => [2,3,5,4,6,1,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,5,7},{4,6}} => [2,3,5,6,7,4,1] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,5},{4,6,7}} => [2,3,5,6,1,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,5},{4,6},{7}} => [2,3,5,6,1,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,5,7},{4},{6}} => [2,3,5,4,7,6,1] => [[.,.],[.,[[.,.],[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,5},{4,7},{6}} => [2,3,5,7,1,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,5},{4},{6,7}} => [2,3,5,4,1,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,5},{4},{6},{7}} => [2,3,5,4,1,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,6,7},{4,5}} => [2,3,6,5,4,7,1] => [[.,.],[.,[[[.,.],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,6},{4,5,7}} => [2,3,6,5,7,1,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,6},{4,5},{7}} => [2,3,6,5,4,1,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,7},{4,5,6}} => [2,3,7,5,6,4,1] => [[.,.],[.,[[[.,.],[.,.]],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2,3},{4,5,6,7}} => [2,3,1,5,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3},{4,5,6},{7}} => [2,3,1,5,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,7},{4,5},{6}} => [2,3,7,5,4,6,1] => [[.,.],[.,[[[.,.],[.,.]],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2,3},{4,5,7},{6}} => [2,3,1,5,7,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3},{4,5},{6,7}} => [2,3,1,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3},{4,5},{6},{7}} => [2,3,1,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,6,7},{4},{5}} => [2,3,6,4,5,7,1] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,6},{4,7},{5}} => [2,3,6,7,5,1,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,6},{4},{5,7}} => [2,3,6,4,7,1,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,6},{4},{5},{7}} => [2,3,6,4,5,1,7] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,7},{4,6},{5}} => [2,3,7,6,5,4,1] => [[.,.],[.,[[[[.,.],.],.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3},{4,6,7},{5}} => [2,3,1,6,5,7,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3},{4,6},{5,7}} => [2,3,1,6,7,4,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3},{4,6},{5},{7}} => [2,3,1,6,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,3,7},{4},{5,6}} => [2,3,7,4,6,5,1] => [[.,.],[.,[[.,[[.,.],.]],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3},{4,7},{5,6}} => [2,3,1,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3},{4},{5,6,7}} => [2,3,1,4,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2,3},{4},{5,6},{7}} => [2,3,1,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2,3,7},{4},{5},{6}} => [2,3,7,4,5,6,1] => [[.,.],[.,[[.,[.,[.,.]]],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3},{4,7},{5},{6}} => [2,3,1,7,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2,3},{4},{5,7},{6}} => [2,3,1,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3},{4},{5},{6,7}} => [2,3,1,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,3},{4},{5},{6},{7}} => [2,3,1,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2,4,5,6,7},{3}} => [2,4,3,5,6,7,1] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4,5,6},{3,7}} => [2,4,7,5,6,1,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4,5,6},{3},{7}} => [2,4,3,5,6,1,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4,5,7},{3,6}} => [2,4,6,5,7,3,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,4,5},{3,6,7}} => [2,4,6,5,1,7,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,4,5},{3,6},{7}} => [2,4,6,5,1,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,4,5,7},{3},{6}} => [2,4,3,5,7,6,1] => [[.,.],[[.,.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4,5},{3,7},{6}} => [2,4,7,5,1,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4,5},{3},{6,7}} => [2,4,3,5,1,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4,5},{3},{6},{7}} => [2,4,3,5,1,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4,6,7},{3,5}} => [2,4,5,6,3,7,1] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4,6},{3,5,7}} => [2,4,5,6,7,1,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4,6},{3,5},{7}} => [2,4,5,6,3,1,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4,7},{3,5,6}} => [2,4,5,7,6,3,1] => [[.,.],[[.,.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4},{3,5,6,7}} => [2,4,5,1,6,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4},{3,5,6},{7}} => [2,4,5,1,6,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4,7},{3,5},{6}} => [2,4,5,7,3,6,1] => [[.,.],[[.,.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4},{3,5,7},{6}} => [2,4,5,1,7,6,3] => [[.,.],[[.,.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4},{3,5},{6,7}} => [2,4,5,1,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4},{3,5},{6},{7}} => [2,4,5,1,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4,6,7},{3},{5}} => [2,4,3,6,5,7,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,4,6},{3,7},{5}} => [2,4,7,6,5,1,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4,6},{3},{5,7}} => [2,4,3,6,7,1,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,4,6},{3},{5},{7}} => [2,4,3,6,5,1,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,4,7},{3,6},{5}} => [2,4,6,7,5,3,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,4},{3,6,7},{5}} => [2,4,6,1,5,7,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,4},{3,6},{5,7}} => [2,4,6,1,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,4},{3,6},{5},{7}} => [2,4,6,1,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,4,7},{3},{5,6}} => [2,4,3,7,6,5,1] => [[.,.],[[.,.],[[[.,.],.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4},{3,7},{5,6}} => [2,4,7,1,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4},{3},{5,6,7}} => [2,4,3,1,6,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,4},{3},{5,6},{7}} => [2,4,3,1,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,4,7},{3},{5},{6}} => [2,4,3,7,5,6,1] => [[.,.],[[.,.],[[.,[.,.]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4},{3,7},{5},{6}} => [2,4,7,1,5,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4},{3},{5,7},{6}} => [2,4,3,1,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4},{3},{5},{6,7}} => [2,4,3,1,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,4},{3},{5},{6},{7}} => [2,4,3,1,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,5,6,7},{3,4}} => [2,5,4,3,6,7,1] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5,6},{3,4,7}} => [2,5,4,7,6,1,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5,6},{3,4},{7}} => [2,5,4,3,6,1,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5,7},{3,4,6}} => [2,5,4,6,7,3,1] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3,4,6,7}} => [2,5,4,6,1,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3,4,6},{7}} => [2,5,4,6,1,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5,7},{3,4},{6}} => [2,5,4,3,7,6,1] => [[.,.],[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3,4,7},{6}} => [2,5,4,7,1,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3,4},{6,7}} => [2,5,4,3,1,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3,4},{6},{7}} => [2,5,4,3,1,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,6,7},{3,4,5}} => [2,6,4,5,3,7,1] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,6},{3,4,5,7}} => [2,6,4,5,7,1,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,6},{3,4,5},{7}} => [2,6,4,5,3,1,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,7},{3,4,5,6}} => [2,7,4,5,6,3,1] => [[.,.],[[[.,.],[.,[.,.]]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,4,5,6,7}} => [2,1,4,5,6,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,4,5,6},{7}} => [2,1,4,5,6,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,7},{3,4,5},{6}} => [2,7,4,5,3,6,1] => [[.,.],[[[.,.],[.,[.,.]]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,4,5,7},{6}} => [2,1,4,5,7,6,3] => [[.,.],[[.,.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,4,5},{6,7}} => [2,1,4,5,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,4,5},{6},{7}} => [2,1,4,5,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,6,7},{3,4},{5}} => [2,6,4,3,5,7,1] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,6},{3,4,7},{5}} => [2,6,4,7,5,1,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,6},{3,4},{5,7}} => [2,6,4,3,7,1,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,6},{3,4},{5},{7}} => [2,6,4,3,5,1,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,7},{3,4,6},{5}} => [2,7,4,6,5,3,1] => [[.,.],[[[.,.],[[.,.],.]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,4,6,7},{5}} => [2,1,4,6,5,7,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2},{3,4,6},{5,7}} => [2,1,4,6,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2},{3,4,6},{5},{7}} => [2,1,4,6,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,7},{3,4},{5,6}} => [2,7,4,3,6,5,1] => [[.,.],[[[.,.],[[.,.],.]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,4,7},{5,6}} => [2,1,4,7,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,4},{5,6,7}} => [2,1,4,3,6,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2},{3,4},{5,6},{7}} => [2,1,4,3,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,7},{3,4},{5},{6}} => [2,7,4,3,5,6,1] => [[.,.],[[[.,.],[.,[.,.]]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,4,7},{5},{6}} => [2,1,4,7,5,6,3] => [[.,.],[[.,.],[[.,[.,.]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,4},{5,7},{6}} => [2,1,4,3,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,4},{5},{6,7}} => [2,1,4,3,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,4},{5},{6},{7}} => [2,1,4,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,5,6,7},{3},{4}} => [2,5,3,4,6,7,1] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5,6},{3,7},{4}} => [2,5,7,4,6,1,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5,6},{3},{4,7}} => [2,5,3,7,6,1,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5,6},{3},{4},{7}} => [2,5,3,4,6,1,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5,7},{3,6},{4}} => [2,5,6,4,7,3,1] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3,6,7},{4}} => [2,5,6,4,1,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3,6},{4,7}} => [2,5,6,7,1,3,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3,6},{4},{7}} => [2,5,6,4,1,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5,7},{3},{4,6}} => [2,5,3,6,7,4,1] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3,7},{4,6}} => [2,5,7,6,1,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3},{4,6,7}} => [2,5,3,6,1,7,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3},{4,6},{7}} => [2,5,3,6,1,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5,7},{3},{4},{6}} => [2,5,3,4,7,6,1] => [[.,.],[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3,7},{4},{6}} => [2,5,7,4,1,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3},{4,7},{6}} => [2,5,3,7,1,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3},{4},{6,7}} => [2,5,3,4,1,7,6] => [[.,.],[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,5},{3},{4},{6},{7}} => [2,5,3,4,1,6,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,6,7},{3,5},{4}} => [2,6,5,4,3,7,1] => [[.,.],[[[[.,.],.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,6},{3,5,7},{4}} => [2,6,5,4,7,1,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,6},{3,5},{4,7}} => [2,6,5,7,3,1,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,6},{3,5},{4},{7}} => [2,6,5,4,3,1,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,7},{3,5,6},{4}} => [2,7,5,4,6,3,1] => [[.,.],[[[[.,.],.],[.,.]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,5,6,7},{4}} => [2,1,5,4,6,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2},{3,5,6},{4,7}} => [2,1,5,7,6,3,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2},{3,5,6},{4},{7}} => [2,1,5,4,6,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,7},{3,5},{4,6}} => [2,7,5,6,3,4,1] => [[.,.],[[[.,[.,.]],[.,.]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,5,7},{4,6}} => [2,1,5,6,7,4,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2},{3,5},{4,6,7}} => [2,1,5,6,3,7,4] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2},{3,5},{4,6},{7}} => [2,1,5,6,3,4,7] => [[.,.],[[.,[.,.]],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,7},{3,5},{4},{6}} => [2,7,5,4,3,6,1] => [[.,.],[[[[.,.],.],[.,.]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,5,7},{4},{6}} => [2,1,5,4,7,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2},{3,5},{4,7},{6}} => [2,1,5,7,3,6,4] => [[.,.],[[.,[.,.]],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2},{3,5},{4},{6,7}} => [2,1,5,4,3,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2},{3,5},{4},{6},{7}} => [2,1,5,4,3,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,2,6,7},{3},{4,5}} => [2,6,3,5,4,7,1] => [[.,.],[[.,[[.,.],.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,6},{3,7},{4,5}} => [2,6,7,5,4,1,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,6},{3},{4,5,7}} => [2,6,3,5,7,1,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,6},{3},{4,5},{7}} => [2,6,3,5,4,1,7] => [[.,.],[[.,[[.,.],.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,7},{3,6},{4,5}} => [2,7,6,5,4,3,1] => [[.,.],[[[[[.,.],.],.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2},{3,6,7},{4,5}} => [2,1,6,5,4,7,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,6},{4,5,7}} => [2,1,6,5,7,3,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,6},{4,5},{7}} => [2,1,6,5,4,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,7},{3},{4,5,6}} => [2,7,3,5,6,4,1] => [[.,.],[[.,[[.,.],[.,.]]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2},{3,7},{4,5,6}} => [2,1,7,5,6,4,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3},{4,5,6,7}} => [2,1,3,5,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3},{4,5,6},{7}} => [2,1,3,5,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,7},{3},{4,5},{6}} => [2,7,3,5,4,6,1] => [[.,.],[[.,[[.,.],[.,.]]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2},{3,7},{4,5},{6}} => [2,1,7,5,4,6,3] => [[.,.],[[[[.,.],.],[.,.]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3},{4,5,7},{6}} => [2,1,3,5,7,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3},{4,5},{6,7}} => [2,1,3,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3},{4,5},{6},{7}} => [2,1,3,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,6,7},{3},{4},{5}} => [2,6,3,4,5,7,1] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,6},{3,7},{4},{5}} => [2,6,7,4,5,1,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,6},{3},{4,7},{5}} => [2,6,3,7,5,1,4] => [[.,.],[[.,[[.,.],.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,6},{3},{4},{5,7}} => [2,6,3,4,7,1,5] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,6},{3},{4},{5},{7}} => [2,6,3,4,5,1,7] => [[.,.],[[.,[.,[.,.]]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,7},{3,6},{4},{5}} => [2,7,6,4,5,3,1] => [[.,.],[[[[.,.],[.,.]],.],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2},{3,6,7},{4},{5}} => [2,1,6,4,5,7,3] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2},{3,6},{4,7},{5}} => [2,1,6,7,5,3,4] => [[.,.],[[[.,[.,.]],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3,6},{4},{5,7}} => [2,1,6,4,7,3,5] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2},{3,6},{4},{5},{7}} => [2,1,6,4,5,3,7] => [[.,.],[[[.,.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,2,7},{3},{4,6},{5}} => [2,7,3,6,5,4,1] => [[.,.],[[.,[[[.,.],.],.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2},{3,7},{4,6},{5}} => [2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2},{3},{4,6,7},{5}} => [2,1,3,6,5,7,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3},{4,6},{5,7}} => [2,1,3,6,7,4,5] => [[.,.],[.,[[.,[.,.]],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3},{4,6},{5},{7}} => [2,1,3,6,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2,7},{3},{4},{5,6}} => [2,7,3,4,6,5,1] => [[.,.],[[.,[.,[[.,.],.]]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2},{3,7},{4},{5,6}} => [2,1,7,4,6,5,3] => [[.,.],[[[.,.],[[.,.],.]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3},{4,7},{5,6}} => [2,1,3,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2},{3},{4},{5,6,7}} => [2,1,3,4,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2},{3},{4},{5,6},{7}} => [2,1,3,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2,7},{3},{4},{5},{6}} => [2,7,3,4,5,6,1] => [[.,.],[[.,[.,[.,[.,.]]]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2},{3,7},{4},{5},{6}} => [2,1,7,4,5,6,3] => [[.,.],[[[.,.],[.,[.,.]]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,2},{3},{4,7},{5},{6}} => [2,1,3,7,5,6,4] => [[.,.],[.,[[[.,.],[.,.]],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,2},{3},{4},{5,7},{6}} => [2,1,3,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2},{3},{4},{5},{6,7}} => [2,1,3,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,2},{3},{4},{5},{6},{7}} => [2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4,5,6,7},{2}} => [3,2,4,5,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4,5,6},{2,7}} => [3,7,4,5,6,1,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4,5,6},{2},{7}} => [3,2,4,5,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4,5,7},{2,6}} => [3,6,4,5,7,2,1] => [[[.,.],.],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4,5},{2,6,7}} => [3,6,4,5,1,7,2] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4,5},{2,6},{7}} => [3,6,4,5,1,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4,5,7},{2},{6}} => [3,2,4,5,7,6,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4,5},{2,7},{6}} => [3,7,4,5,1,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4,5},{2},{6,7}} => [3,2,4,5,1,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4,5},{2},{6},{7}} => [3,2,4,5,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4,6,7},{2,5}} => [3,5,4,6,2,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4,6},{2,5,7}} => [3,5,4,6,7,1,2] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4,6},{2,5},{7}} => [3,5,4,6,2,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4,7},{2,5,6}} => [3,5,4,7,6,2,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4},{2,5,6,7}} => [3,5,4,1,6,7,2] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4},{2,5,6},{7}} => [3,5,4,1,6,2,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4,7},{2,5},{6}} => [3,5,4,7,2,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4},{2,5,7},{6}} => [3,5,4,1,7,6,2] => [[.,[.,.]],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4},{2,5},{6,7}} => [3,5,4,1,2,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4},{2,5},{6},{7}} => [3,5,4,1,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4,6,7},{2},{5}} => [3,2,4,6,5,7,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,4,6},{2,7},{5}} => [3,7,4,6,5,1,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4,6},{2},{5,7}} => [3,2,4,6,7,1,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,4,6},{2},{5},{7}} => [3,2,4,6,5,1,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,4,7},{2,6},{5}} => [3,6,4,7,5,2,1] => [[[.,.],.],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4},{2,6,7},{5}} => [3,6,4,1,5,7,2] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4},{2,6},{5,7}} => [3,6,4,1,7,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4},{2,6},{5},{7}} => [3,6,4,1,5,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,4,7},{2},{5,6}} => [3,2,4,7,6,5,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4},{2,7},{5,6}} => [3,7,4,1,6,5,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4},{2},{5,6,7}} => [3,2,4,1,6,7,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,4},{2},{5,6},{7}} => [3,2,4,1,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,4,7},{2},{5},{6}} => [3,2,4,7,5,6,1] => [[[.,.],.],[.,[[.,[.,.]],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4},{2,7},{5},{6}} => [3,7,4,1,5,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4},{2},{5,7},{6}} => [3,2,4,1,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4},{2},{5},{6,7}} => [3,2,4,1,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,4},{2},{5},{6},{7}} => [3,2,4,1,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,5,6,7},{2,4}} => [3,4,5,2,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,5,6},{2,4,7}} => [3,4,5,7,6,1,2] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,5,6},{2,4},{7}} => [3,4,5,2,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,5,7},{2,4,6}} => [3,4,5,6,7,2,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,5},{2,4,6,7}} => [3,4,5,6,1,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,5},{2,4,6},{7}} => [3,4,5,6,1,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,5,7},{2,4},{6}} => [3,4,5,2,7,6,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,5},{2,4,7},{6}} => [3,4,5,7,1,6,2] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,5},{2,4},{6,7}} => [3,4,5,2,1,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,5},{2,4},{6},{7}} => [3,4,5,2,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,6,7},{2,4,5}} => [3,4,6,5,2,7,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,6},{2,4,5,7}} => [3,4,6,5,7,1,2] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,6},{2,4,5},{7}} => [3,4,6,5,2,1,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,7},{2,4,5,6}} => [3,4,7,5,6,2,1] => [[[.,.],.],[.,[[.,[.,.]],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,4,5,6,7}} => [3,4,1,5,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,4,5,6},{7}} => [3,4,1,5,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,7},{2,4,5},{6}} => [3,4,7,5,2,6,1] => [[[.,.],.],[.,[[.,[.,.]],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,4,5,7},{6}} => [3,4,1,5,7,6,2] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,4,5},{6,7}} => [3,4,1,5,2,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,4,5},{6},{7}} => [3,4,1,5,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,6,7},{2,4},{5}} => [3,4,6,2,5,7,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,6},{2,4,7},{5}} => [3,4,6,7,5,1,2] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,6},{2,4},{5,7}} => [3,4,6,2,7,1,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,6},{2,4},{5},{7}} => [3,4,6,2,5,1,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,7},{2,4,6},{5}} => [3,4,7,6,5,2,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,4,6,7},{5}} => [3,4,1,6,5,7,2] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3},{2,4,6},{5,7}} => [3,4,1,6,7,2,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3},{2,4,6},{5},{7}} => [3,4,1,6,5,2,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,7},{2,4},{5,6}} => [3,4,7,2,6,5,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,4,7},{5,6}} => [3,4,1,7,6,5,2] => [[.,[.,.]],[.,[[[.,.],.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,4},{5,6,7}} => [3,4,1,2,6,7,5] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3},{2,4},{5,6},{7}} => [3,4,1,2,6,5,7] => [[.,[.,.]],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,7},{2,4},{5},{6}} => [3,4,7,2,5,6,1] => [[[.,.],.],[.,[[.,[.,.]],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,4,7},{5},{6}} => [3,4,1,7,5,6,2] => [[.,[.,.]],[.,[[.,[.,.]],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,4},{5,7},{6}} => [3,4,1,2,7,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,4},{5},{6,7}} => [3,4,1,2,5,7,6] => [[.,[.,.]],[.,[.,[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,4},{5},{6},{7}} => [3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,5,6,7},{2},{4}} => [3,2,5,4,6,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,5,6},{2,7},{4}} => [3,7,5,4,6,1,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,5,6},{2},{4,7}} => [3,2,5,7,6,1,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,5,6},{2},{4},{7}} => [3,2,5,4,6,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,5,7},{2,6},{4}} => [3,6,5,4,7,2,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,5},{2,6,7},{4}} => [3,6,5,4,1,7,2] => [[.,[.,.]],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,5},{2,6},{4,7}} => [3,6,5,7,1,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,5},{2,6},{4},{7}} => [3,6,5,4,1,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,5,7},{2},{4,6}} => [3,2,5,6,7,4,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,5},{2,7},{4,6}} => [3,7,5,6,1,4,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,5},{2},{4,6,7}} => [3,2,5,6,1,7,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,5},{2},{4,6},{7}} => [3,2,5,6,1,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,5,7},{2},{4},{6}} => [3,2,5,4,7,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,5},{2,7},{4},{6}} => [3,7,5,4,1,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,5},{2},{4,7},{6}} => [3,2,5,7,1,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,5},{2},{4},{6,7}} => [3,2,5,4,1,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,5},{2},{4},{6},{7}} => [3,2,5,4,1,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,6,7},{2,5},{4}} => [3,5,6,4,2,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,6},{2,5,7},{4}} => [3,5,6,4,7,1,2] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,6},{2,5},{4,7}} => [3,5,6,7,2,1,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,6},{2,5},{4},{7}} => [3,5,6,4,2,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,7},{2,5,6},{4}} => [3,5,7,4,6,2,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,5,6,7},{4}} => [3,5,1,4,6,7,2] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,5,6},{4,7}} => [3,5,1,7,6,2,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,5,6},{4},{7}} => [3,5,1,4,6,2,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,7},{2,5},{4,6}} => [3,5,7,6,2,4,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,5,7},{4,6}} => [3,5,1,6,7,4,2] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,5},{4,6,7}} => [3,5,1,6,2,7,4] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,5},{4,6},{7}} => [3,5,1,6,2,4,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,7},{2,5},{4},{6}} => [3,5,7,4,2,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,5,7},{4},{6}} => [3,5,1,4,7,6,2] => [[.,[.,.]],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,5},{4,7},{6}} => [3,5,1,7,2,6,4] => [[.,[.,.]],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,5},{4},{6,7}} => [3,5,1,4,2,7,6] => [[.,[.,.]],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,5},{4},{6},{7}} => [3,5,1,4,2,6,7] => [[.,[.,.]],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,6,7},{2},{4,5}} => [3,2,6,5,4,7,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,6},{2,7},{4,5}} => [3,7,6,5,4,1,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,6},{2},{4,5,7}} => [3,2,6,5,7,1,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,6},{2},{4,5},{7}} => [3,2,6,5,4,1,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,7},{2,6},{4,5}} => [3,6,7,5,4,2,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,6,7},{4,5}} => [3,6,1,5,4,7,2] => [[.,[.,.]],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,6},{4,5,7}} => [3,6,1,5,7,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,6},{4,5},{7}} => [3,6,1,5,4,2,7] => [[.,[.,.]],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,7},{2},{4,5,6}} => [3,2,7,5,6,4,1] => [[[.,.],.],[[[.,.],[.,.]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3},{2,7},{4,5,6}} => [3,7,1,5,6,4,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3},{2},{4,5,6,7}} => [3,2,1,5,6,7,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2},{4,5,6},{7}} => [3,2,1,5,6,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,7},{2},{4,5},{6}} => [3,2,7,5,4,6,1] => [[[.,.],.],[[[.,.],[.,.]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3},{2,7},{4,5},{6}} => [3,7,1,5,4,6,2] => [[.,[.,.]],[[[.,.],[.,.]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3},{2},{4,5,7},{6}} => [3,2,1,5,7,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2},{4,5},{6,7}} => [3,2,1,5,4,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2},{4,5},{6},{7}} => [3,2,1,5,4,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,6,7},{2},{4},{5}} => [3,2,6,4,5,7,1] => [[[.,.],.],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,6},{2,7},{4},{5}} => [3,7,6,4,5,1,2] => [[.,[.,.]],[[[.,[.,.]],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3,6},{2},{4,7},{5}} => [3,2,6,7,5,1,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,6},{2},{4},{5,7}} => [3,2,6,4,7,1,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,6},{2},{4},{5},{7}} => [3,2,6,4,5,1,7] => [[[.,.],.],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,7},{2,6},{4},{5}} => [3,6,7,4,5,2,1] => [[[.,.],.],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,6,7},{4},{5}} => [3,6,1,4,5,7,2] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,6},{4,7},{5}} => [3,6,1,7,5,2,4] => [[.,[.,.]],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,6},{4},{5,7}} => [3,6,1,4,7,2,5] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2,6},{4},{5},{7}} => [3,6,1,4,5,2,7] => [[.,[.,.]],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,7},{2},{4,6},{5}} => [3,2,7,6,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,7},{4,6},{5}} => [3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2},{4,6,7},{5}} => [3,2,1,6,5,7,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2},{4,6},{5,7}} => [3,2,1,6,7,4,5] => [[[.,.],.],[[.,[.,.]],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3},{2},{4,6},{5},{7}} => [3,2,1,6,5,4,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,3,7},{2},{4},{5,6}} => [3,2,7,4,6,5,1] => [[[.,.],.],[[.,[[.,.],.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,7},{4},{5,6}} => [3,7,1,4,6,5,2] => [[.,[.,.]],[[.,[[.,.],.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2},{4,7},{5,6}} => [3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2},{4},{5,6,7}} => [3,2,1,4,6,7,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3},{2},{4},{5,6},{7}} => [3,2,1,4,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3,7},{2},{4},{5},{6}} => [3,2,7,4,5,6,1] => [[[.,.],.],[[.,[.,[.,.]]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2,7},{4},{5},{6}} => [3,7,1,4,5,6,2] => [[.,[.,.]],[[.,[.,[.,.]]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2},{4,7},{5},{6}} => [3,2,1,7,5,6,4] => [[[.,.],.],[[[.,.],[.,.]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,3},{2},{4},{5,7},{6}} => [3,2,1,4,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2},{4},{5},{6,7}} => [3,2,1,4,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,3},{2},{4},{5},{6},{7}} => [3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,5,6,7},{2,3}} => [4,3,2,5,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,5,6},{2,3,7}} => [4,3,7,5,6,1,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,5,6},{2,3},{7}} => [4,3,2,5,6,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,5,7},{2,3,6}} => [4,3,6,5,7,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5},{2,3,6,7}} => [4,3,6,5,1,7,2] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5},{2,3,6},{7}} => [4,3,6,5,1,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5,7},{2,3},{6}} => [4,3,2,5,7,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,5},{2,3,7},{6}} => [4,3,7,5,1,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,5},{2,3},{6,7}} => [4,3,2,5,1,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,5},{2,3},{6},{7}} => [4,3,2,5,1,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,6,7},{2,3,5}} => [4,3,5,6,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,6},{2,3,5,7}} => [4,3,5,6,7,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,6},{2,3,5},{7}} => [4,3,5,6,2,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,7},{2,3,5,6}} => [4,3,5,7,6,2,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,3,5,6,7}} => [4,3,5,1,6,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,3,5,6},{7}} => [4,3,5,1,6,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,7},{2,3,5},{6}} => [4,3,5,7,2,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,3,5,7},{6}} => [4,3,5,1,7,6,2] => [[[.,[.,.]],.],[.,[[.,.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,3,5},{6,7}} => [4,3,5,1,2,7,6] => [[[.,[.,.]],.],[.,[[.,.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,3,5},{6},{7}} => [4,3,5,1,2,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,6,7},{2,3},{5}} => [4,3,2,6,5,7,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,6},{2,3,7},{5}} => [4,3,7,6,5,1,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,6},{2,3},{5,7}} => [4,3,2,6,7,1,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,6},{2,3},{5},{7}} => [4,3,2,6,5,1,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,7},{2,3,6},{5}} => [4,3,6,7,5,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,3,6,7},{5}} => [4,3,6,1,5,7,2] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,3,6},{5,7}} => [4,3,6,1,7,2,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,3,6},{5},{7}} => [4,3,6,1,5,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,7},{2,3},{5,6}} => [4,3,2,7,6,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,3,7},{5,6}} => [4,3,7,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,3},{5,6,7}} => [4,3,2,1,6,7,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,3},{5,6},{7}} => [4,3,2,1,6,5,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,7},{2,3},{5},{6}} => [4,3,2,7,5,6,1] => [[[[.,.],.],.],[[.,[.,.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,3,7},{5},{6}} => [4,3,7,1,5,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,3},{5,7},{6}} => [4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,3},{5},{6,7}} => [4,3,2,1,5,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,3},{5},{6},{7}} => [4,3,2,1,5,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5,6,7},{2,3,4}} => [5,3,4,2,6,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,6},{2,3,4,7}} => [5,3,4,7,6,1,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,6},{2,3,4},{7}} => [5,3,4,2,6,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,7},{2,3,4,6}} => [5,3,4,6,7,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3,4,6,7}} => [5,3,4,6,1,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3,4,6},{7}} => [5,3,4,6,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,7},{2,3,4},{6}} => [5,3,4,2,7,6,1] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3,4,7},{6}} => [5,3,4,7,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3,4},{6,7}} => [5,3,4,2,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3,4},{6},{7}} => [5,3,4,2,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6,7},{2,3,4,5}} => [6,3,4,5,2,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3,4,5,7}} => [6,3,4,5,7,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3,4,5},{7}} => [6,3,4,5,2,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,7},{2,3,4,5,6}} => [7,3,4,5,6,2,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,3,4,5,6,7}} => [1,3,4,5,6,7,2] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3,4,5,6},{7}} => [1,3,4,5,6,2,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,7},{2,3,4,5},{6}} => [7,3,4,5,2,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,3,4,5,7},{6}} => [1,3,4,5,7,6,2] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3,4,5},{6,7}} => [1,3,4,5,2,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3,4,5},{6},{7}} => [1,3,4,5,2,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,6,7},{2,3,4},{5}} => [6,3,4,2,5,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3,4,7},{5}} => [6,3,4,7,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3,4},{5,7}} => [6,3,4,2,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3,4},{5},{7}} => [6,3,4,2,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,7},{2,3,4,6},{5}} => [7,3,4,6,5,2,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,3,4,6,7},{5}} => [1,3,4,6,5,7,2] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3,4,6},{5,7}} => [1,3,4,6,7,2,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3,4,6},{5},{7}} => [1,3,4,6,5,2,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,7},{2,3,4},{5,6}} => [7,3,4,2,6,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,3,4,7},{5,6}} => [1,3,4,7,6,5,2] => [.,[[.,.],[.,[[[.,.],.],.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3,4},{5,6,7}} => [1,3,4,2,6,7,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3,4},{5,6},{7}} => [1,3,4,2,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,7},{2,3,4},{5},{6}} => [7,3,4,2,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,3,4,7},{5},{6}} => [1,3,4,7,5,6,2] => [.,[[.,.],[.,[[.,[.,.]],.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3,4},{5,7},{6}} => [1,3,4,2,7,6,5] => [.,[[.,.],[.,[[[.,.],.],.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3,4},{5},{6,7}} => [1,3,4,2,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3,4},{5},{6},{7}} => [1,3,4,2,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,5,6,7},{2,3},{4}} => [5,3,2,4,6,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,6},{2,3,7},{4}} => [5,3,7,4,6,1,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,6},{2,3},{4,7}} => [5,3,2,7,6,1,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,6},{2,3},{4},{7}} => [5,3,2,4,6,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,7},{2,3,6},{4}} => [5,3,6,4,7,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3,6,7},{4}} => [5,3,6,4,1,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3,6},{4,7}} => [5,3,6,7,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3,6},{4},{7}} => [5,3,6,4,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,7},{2,3},{4,6}} => [5,3,2,6,7,4,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3,7},{4,6}} => [5,3,7,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3},{4,6,7}} => [5,3,2,6,1,7,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3},{4,6},{7}} => [5,3,2,6,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,7},{2,3},{4},{6}} => [5,3,2,4,7,6,1] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3,7},{4},{6}} => [5,3,7,4,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3},{4,7},{6}} => [5,3,2,7,1,6,4] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3},{4},{6,7}} => [5,3,2,4,1,7,6] => [[[[.,.],.],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,3},{4},{6},{7}} => [5,3,2,4,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6,7},{2,3,5},{4}} => [6,3,5,4,2,7,1] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3,5,7},{4}} => [6,3,5,4,7,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3,5},{4,7}} => [6,3,5,7,2,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3,5},{4},{7}} => [6,3,5,4,2,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,7},{2,3,5,6},{4}} => [7,3,5,4,6,2,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,5,6,7},{4}} => [1,3,5,4,6,7,2] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,5,6},{4,7}} => [1,3,5,7,6,2,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,5,6},{4},{7}} => [1,3,5,4,6,2,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,3,5},{4,6}} => [7,3,5,6,2,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,5,7},{4,6}} => [1,3,5,6,7,4,2] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,5},{4,6,7}} => [1,3,5,6,2,7,4] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,5},{4,6},{7}} => [1,3,5,6,2,4,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,3,5},{4},{6}} => [7,3,5,4,2,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,5,7},{4},{6}} => [1,3,5,4,7,6,2] => [.,[[.,.],[[.,.],[[.,.],.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,5},{4,7},{6}} => [1,3,5,7,2,6,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,5},{4},{6,7}} => [1,3,5,4,2,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,5},{4},{6},{7}} => [1,3,5,4,2,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,6,7},{2,3},{4,5}} => [6,3,2,5,4,7,1] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3,7},{4,5}} => [6,3,7,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3},{4,5,7}} => [6,3,2,5,7,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3},{4,5},{7}} => [6,3,2,5,4,1,7] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,7},{2,3,6},{4,5}} => [7,3,6,5,4,2,1] => [[[[.,.],.],[[[.,.],.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,3,6,7},{4,5}} => [1,3,6,5,4,7,2] => [.,[[.,.],[[[.,.],.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,6},{4,5,7}} => [1,3,6,5,7,2,4] => [.,[[.,.],[[[.,.],.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,6},{4,5},{7}} => [1,3,6,5,4,2,7] => [.,[[.,.],[[[.,.],.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,3},{4,5,6}} => [7,3,2,5,6,4,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,7},{4,5,6}} => [1,3,7,5,6,4,2] => [.,[[.,.],[[[.,.],[.,.]],.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3},{4,5,6,7}} => [1,3,2,5,6,7,4] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3},{4,5,6},{7}} => [1,3,2,5,6,4,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,3},{4,5},{6}} => [7,3,2,5,4,6,1] => [[[[.,.],.],[[.,.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,7},{4,5},{6}} => [1,3,7,5,4,6,2] => [.,[[.,.],[[[.,.],[.,.]],.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3},{4,5,7},{6}} => [1,3,2,5,7,6,4] => [.,[[.,.],[[.,.],[[.,.],.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3},{4,5},{6,7}} => [1,3,2,5,4,7,6] => [.,[[.,.],[[.,.],[[.,.],.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3},{4,5},{6},{7}} => [1,3,2,5,4,6,7] => [.,[[.,.],[[.,.],[.,[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,6,7},{2,3},{4},{5}} => [6,3,2,4,5,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3,7},{4},{5}} => [6,3,7,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3},{4,7},{5}} => [6,3,2,7,5,1,4] => [[[[.,.],.],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3},{4},{5,7}} => [6,3,2,4,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2,3},{4},{5},{7}} => [6,3,2,4,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,7},{2,3,6},{4},{5}} => [7,3,6,4,5,2,1] => [[[[.,.],.],[[.,[.,.]],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,3,6,7},{4},{5}} => [1,3,6,4,5,7,2] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,6},{4,7},{5}} => [1,3,6,7,5,2,4] => [.,[[.,.],[[[.,.],.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,6},{4},{5,7}} => [1,3,6,4,7,2,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3,6},{4},{5},{7}} => [1,3,6,4,5,2,7] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,3},{4,6},{5}} => [7,3,2,6,5,4,1] => [[[[.,.],.],[[[.,.],.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,3,7},{4,6},{5}} => [1,3,7,6,5,4,2] => [.,[[.,.],[[[[.,.],.],.],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3},{4,6,7},{5}} => [1,3,2,6,5,7,4] => [.,[[.,.],[[[.,.],.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3},{4,6},{5,7}} => [1,3,2,6,7,4,5] => [.,[[.,.],[[.,[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,3},{4,6},{5},{7}} => [1,3,2,6,5,4,7] => [.,[[.,.],[[[.,.],.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,3},{4},{5,6}} => [7,3,2,4,6,5,1] => [[[[.,.],.],[.,[[.,.],.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,3,7},{4},{5,6}} => [1,3,7,4,6,5,2] => [.,[[.,.],[[.,[[.,.],.]],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3},{4,7},{5,6}} => [1,3,2,7,6,5,4] => [.,[[.,.],[[[[.,.],.],.],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3},{4},{5,6,7}} => [1,3,2,4,6,7,5] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3},{4},{5,6},{7}} => [1,3,2,4,6,5,7] => [.,[[.,.],[.,[[.,.],[.,.]]]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,7},{2,3},{4},{5},{6}} => [7,3,2,4,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,3,7},{4},{5},{6}} => [1,3,7,4,5,6,2] => [.,[[.,.],[[.,[.,[.,.]]],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3},{4,7},{5},{6}} => [1,3,2,7,5,6,4] => [.,[[.,.],[[[.,.],[.,.]],.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3},{4},{5,7},{6}} => [1,3,2,4,7,6,5] => [.,[[.,.],[.,[[[.,.],.],.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3},{4},{5},{6,7}} => [1,3,2,4,5,7,6] => [.,[[.,.],[.,[.,[[.,.],.]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,3},{4},{5},{6},{7}} => [1,3,2,4,5,6,7] => [.,[[.,.],[.,[.,[.,[.,.]]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5,6,7},{2},{3}} => [4,2,3,5,6,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5,6},{2,7},{3}} => [4,7,3,5,6,1,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,5,6},{2},{3,7}} => [4,2,7,5,6,1,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5,6},{2},{3},{7}} => [4,2,3,5,6,1,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5,7},{2,6},{3}} => [4,6,3,5,7,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5},{2,6,7},{3}} => [4,6,3,5,1,7,2] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5},{2,6},{3,7}} => [4,6,7,5,1,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5},{2,6},{3},{7}} => [4,6,3,5,1,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5,7},{2},{3,6}} => [4,2,6,5,7,3,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5},{2,7},{3,6}} => [4,7,6,5,1,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,5},{2},{3,6,7}} => [4,2,6,5,1,7,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5},{2},{3,6},{7}} => [4,2,6,5,1,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5,7},{2},{3},{6}} => [4,2,3,5,7,6,1] => [[[.,.],[.,.]],[.,[[.,.],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5},{2,7},{3},{6}} => [4,7,3,5,1,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,5},{2},{3,7},{6}} => [4,2,7,5,1,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5},{2},{3},{6,7}} => [4,2,3,5,1,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,5},{2},{3},{6},{7}} => [4,2,3,5,1,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,6,7},{2,5},{3}} => [4,5,3,6,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,6},{2,5,7},{3}} => [4,5,3,6,7,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,6},{2,5},{3,7}} => [4,5,7,6,2,1,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,6},{2,5},{3},{7}} => [4,5,3,6,2,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,7},{2,5,6},{3}} => [4,5,3,7,6,2,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,5,6,7},{3}} => [4,5,3,1,6,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,5,6},{3,7}} => [4,5,7,1,6,2,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,5,6},{3},{7}} => [4,5,3,1,6,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,7},{2,5},{3,6}} => [4,5,6,7,2,3,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,5,7},{3,6}} => [4,5,6,1,7,3,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,5},{3,6,7}} => [4,5,6,1,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,5},{3,6},{7}} => [4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,7},{2,5},{3},{6}} => [4,5,3,7,2,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,5,7},{3},{6}} => [4,5,3,1,7,6,2] => [[[.,[.,.]],.],[.,[[.,.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,5},{3,7},{6}} => [4,5,7,1,2,6,3] => [[.,[.,[.,.]]],[.,[[.,.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,5},{3},{6,7}} => [4,5,3,1,2,7,6] => [[[.,[.,.]],.],[.,[[.,.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2,5},{3},{6},{7}} => [4,5,3,1,2,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,6,7},{2},{3,5}} => [4,2,5,6,3,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,6},{2,7},{3,5}} => [4,7,5,6,3,1,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,6},{2},{3,5,7}} => [4,2,5,6,7,1,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,6},{2},{3,5},{7}} => [4,2,5,6,3,1,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,7},{2,6},{3,5}} => [4,6,5,7,3,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,6,7},{3,5}} => [4,6,5,1,3,7,2] => [[.,[[.,.],.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,6},{3,5,7}} => [4,6,5,1,7,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,6},{3,5},{7}} => [4,6,5,1,3,2,7] => [[.,[[.,.],.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,7},{2},{3,5,6}} => [4,2,5,7,6,3,1] => [[[.,.],[.,.]],[.,[[.,.],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,7},{3,5,6}} => [4,7,5,1,6,3,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2},{3,5,6,7}} => [4,2,5,1,6,7,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2},{3,5,6},{7}} => [4,2,5,1,6,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,7},{2},{3,5},{6}} => [4,2,5,7,3,6,1] => [[[.,.],[.,.]],[.,[[.,.],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,7},{3,5},{6}} => [4,7,5,1,3,6,2] => [[.,[[.,.],.]],[[.,[.,.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2},{3,5,7},{6}} => [4,2,5,1,7,6,3] => [[[.,.],[.,.]],[.,[[.,.],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2},{3,5},{6,7}} => [4,2,5,1,3,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2},{3,5},{6},{7}} => [4,2,5,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,6,7},{2},{3},{5}} => [4,2,3,6,5,7,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,4,6},{2,7},{3},{5}} => [4,7,3,6,5,1,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4,6},{2},{3,7},{5}} => [4,2,7,6,5,1,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,6},{2},{3},{5,7}} => [4,2,3,6,7,1,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,4,6},{2},{3},{5},{7}} => [4,2,3,6,5,1,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,4,7},{2,6},{3},{5}} => [4,6,3,7,5,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,6,7},{3},{5}} => [4,6,3,1,5,7,2] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,6},{3,7},{5}} => [4,6,7,1,5,2,3] => [[.,[.,[.,.]]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,6},{3},{5,7}} => [4,6,3,1,7,2,5] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,6},{3},{5},{7}} => [4,6,3,1,5,2,7] => [[[.,[.,.]],.],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4,7},{2},{3,6},{5}} => [4,2,6,7,5,3,1] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,7},{3,6},{5}} => [4,7,6,1,5,3,2] => [[.,[[.,.],.]],[[[.,.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2},{3,6,7},{5}} => [4,2,6,1,5,7,3] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2},{3,6},{5,7}} => [4,2,6,1,7,3,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2},{3,6},{5},{7}} => [4,2,6,1,5,3,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,4,7},{2},{3},{5,6}} => [4,2,3,7,6,5,1] => [[[.,.],[.,.]],[[[.,.],.],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,7},{3},{5,6}} => [4,7,3,1,6,5,2] => [[[.,[.,.]],.],[[[.,.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2},{3,7},{5,6}} => [4,2,7,1,6,5,3] => [[[.,.],[.,.]],[[[.,.],.],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2},{3},{5,6,7}} => [4,2,3,1,6,7,5] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2},{3},{5,6},{7}} => [4,2,3,1,6,5,7] => [[[.,.],[.,.]],[[.,.],[.,.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1,4,7},{2},{3},{5},{6}} => [4,2,3,7,5,6,1] => [[[.,.],[.,.]],[[.,[.,.]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2,7},{3},{5},{6}} => [4,7,3,1,5,6,2] => [[[.,[.,.]],.],[[.,[.,.]],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,4},{2},{3,7},{5},{6}} => [4,2,7,1,5,6,3] => [[[.,.],[.,.]],[[.,[.,.]],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2},{3},{5,7},{6}} => [4,2,3,1,7,6,5] => [[[.,.],[.,.]],[[[.,.],.],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2},{3},{5},{6,7}} => [4,2,3,1,5,7,6] => [[[.,.],[.,.]],[.,[[.,.],.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,4},{2},{3},{5},{6},{7}} => [4,2,3,1,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,5,6,7},{2,4},{3}} => [5,4,3,2,6,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5,6},{2,4,7},{3}} => [5,4,3,7,6,1,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5,6},{2,4},{3,7}} => [5,4,7,2,6,1,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,5,6},{2,4},{3},{7}} => [5,4,3,2,6,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5,7},{2,4,6},{3}} => [5,4,3,6,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2,4,6,7},{3}} => [5,4,3,6,1,7,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2,4,6},{3,7}} => [5,4,7,6,1,2,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2,4,6},{3},{7}} => [5,4,3,6,1,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5,7},{2,4},{3,6}} => [5,4,6,2,7,3,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,5},{2,4,7},{3,6}} => [5,4,6,7,1,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2,4},{3,6,7}} => [5,4,6,2,1,7,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,5},{2,4},{3,6},{7}} => [5,4,6,2,1,3,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,5,7},{2,4},{3},{6}} => [5,4,3,2,7,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2,4,7},{3},{6}} => [5,4,3,7,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2,4},{3,7},{6}} => [5,4,7,2,1,6,3] => [[[[.,.],[.,.]],.],[[.,.],.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,5},{2,4},{3},{6,7}} => [5,4,3,2,1,7,6] => [[[[[.,.],.],.],.],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2,4},{3},{6},{7}} => [5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,6,7},{2,4,5},{3}} => [6,4,3,5,2,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2,4,5,7},{3}} => [6,4,3,5,7,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2,4,5},{3,7}} => [6,4,7,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,6},{2,4,5},{3},{7}} => [6,4,3,5,2,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2,4,5,6},{3}} => [7,4,3,5,6,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,5,6,7},{3}} => [1,4,3,5,6,7,2] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,5,6},{3,7}} => [1,4,7,5,6,2,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,5,6},{3},{7}} => [1,4,3,5,6,2,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2,4,5},{3,6}} => [7,4,6,5,2,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,4,5,7},{3,6}} => [1,4,6,5,7,3,2] => [.,[[[.,.],.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,4,5},{3,6,7}} => [1,4,6,5,2,7,3] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,4,5},{3,6},{7}} => [1,4,6,5,2,3,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,4,5},{3},{6}} => [7,4,3,5,2,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,5,7},{3},{6}} => [1,4,3,5,7,6,2] => [.,[[[.,.],.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,5},{3,7},{6}} => [1,4,7,5,2,6,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,5},{3},{6,7}} => [1,4,3,5,2,7,6] => [.,[[[.,.],.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,5},{3},{6},{7}} => [1,4,3,5,2,6,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6,7},{2,4},{3,5}} => [6,4,5,2,3,7,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,6},{2,4,7},{3,5}} => [6,4,5,7,3,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2,4},{3,5,7}} => [6,4,5,2,7,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,6},{2,4},{3,5},{7}} => [6,4,5,2,3,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,4,6},{3,5}} => [7,4,5,6,3,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,6,7},{3,5}} => [1,4,5,6,3,7,2] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,6},{3,5,7}} => [1,4,5,6,7,2,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,6},{3,5},{7}} => [1,4,5,6,3,2,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2,4},{3,5,6}} => [7,4,5,2,6,3,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,4,7},{3,5,6}} => [1,4,5,7,6,3,2] => [.,[[[.,.],.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4},{3,5,6,7}} => [1,4,5,2,6,7,3] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4},{3,5,6},{7}} => [1,4,5,2,6,3,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2,4},{3,5},{6}} => [7,4,5,2,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,4,7},{3,5},{6}} => [1,4,5,7,3,6,2] => [.,[[[.,.],.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4},{3,5,7},{6}} => [1,4,5,2,7,6,3] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4},{3,5},{6,7}} => [1,4,5,2,3,7,6] => [.,[[.,[.,.]],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4},{3,5},{6},{7}} => [1,4,5,2,3,6,7] => [.,[[.,[.,.]],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6,7},{2,4},{3},{5}} => [6,4,3,2,5,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2,4,7},{3},{5}} => [6,4,3,7,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2,4},{3,7},{5}} => [6,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,6},{2,4},{3},{5,7}} => [6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2,4},{3},{5},{7}} => [6,4,3,2,5,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2,4,6},{3},{5}} => [7,4,3,6,5,2,1] => [[[[[.,.],.],.],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,6,7},{3},{5}} => [1,4,3,6,5,7,2] => [.,[[[.,.],.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,4,6},{3,7},{5}} => [1,4,7,6,5,2,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,6},{3},{5,7}} => [1,4,3,6,7,2,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,4,6},{3},{5},{7}} => [1,4,3,6,5,2,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,4},{3,6},{5}} => [7,4,6,2,5,3,1] => [[[[.,.],[.,.]],[[.,.],.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,4,7},{3,6},{5}} => [1,4,6,7,5,3,2] => [.,[[[.,.],.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,4},{3,6,7},{5}} => [1,4,6,2,5,7,3] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,4},{3,6},{5,7}} => [1,4,6,2,7,3,5] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,4},{3,6},{5},{7}} => [1,4,6,2,5,3,7] => [.,[[.,[.,.]],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,4},{3},{5,6}} => [7,4,3,2,6,5,1] => [[[[[.,.],.],.],[[.,.],.]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,7},{3},{5,6}} => [1,4,3,7,6,5,2] => [.,[[[.,.],.],[[[.,.],.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4},{3,7},{5,6}} => [1,4,7,2,6,5,3] => [.,[[.,[.,.]],[[[.,.],.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4},{3},{5,6,7}} => [1,4,3,2,6,7,5] => [.,[[[.,.],.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,4},{3},{5,6},{7}} => [1,4,3,2,6,5,7] => [.,[[[.,.],.],[[.,.],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,4},{3},{5},{6}} => [7,4,3,2,5,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4,7},{3},{5},{6}} => [1,4,3,7,5,6,2] => [.,[[[.,.],.],[[.,[.,.]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4},{3,7},{5},{6}} => [1,4,7,2,5,6,3] => [.,[[.,[.,.]],[[.,[.,.]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4},{3},{5,7},{6}} => [1,4,3,2,7,6,5] => [.,[[[.,.],.],[[[.,.],.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4},{3},{5},{6,7}} => [1,4,3,2,5,7,6] => [.,[[[.,.],.],[.,[[.,.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,4},{3},{5},{6},{7}} => [1,4,3,2,5,6,7] => [.,[[[.,.],.],[.,[.,[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,6,7},{2},{3,4}} => [5,2,4,3,6,7,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,6},{2,7},{3,4}} => [5,7,4,3,6,1,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5,6},{2},{3,4,7}} => [5,2,4,7,6,1,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,6},{2},{3,4},{7}} => [5,2,4,3,6,1,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,7},{2,6},{3,4}} => [5,6,4,3,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2,6,7},{3,4}} => [5,6,4,3,1,7,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2,6},{3,4,7}} => [5,6,4,7,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2,6},{3,4},{7}} => [5,6,4,3,1,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5,7},{2},{3,4,6}} => [5,2,4,6,7,3,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,7},{3,4,6}} => [5,7,4,6,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2},{3,4,6,7}} => [5,2,4,6,1,7,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2},{3,4,6},{7}} => [5,2,4,6,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,7},{2},{3,4},{6}} => [5,2,4,3,7,6,1] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,7},{3,4},{6}} => [5,7,4,3,1,6,2] => [[[[.,[.,.]],.],.],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2},{3,4,7},{6}} => [5,2,4,7,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2},{3,4},{6,7}} => [5,2,4,3,1,7,6] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2},{3,4},{6},{7}} => [5,2,4,3,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6,7},{2,5},{3,4}} => [6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],.],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,6},{2,5,7},{3,4}} => [6,5,4,3,7,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,6},{2,5},{3,4,7}} => [6,5,4,7,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,6},{2,5},{3,4},{7}} => [6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,7},{2,5,6},{3,4}} => [7,5,4,3,6,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,5,6,7},{3,4}} => [1,5,4,3,6,7,2] => [.,[[[[.,.],.],.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,5,6},{3,4,7}} => [1,5,4,7,6,2,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,5,6},{3,4},{7}} => [1,5,4,3,6,2,7] => [.,[[[[.,.],.],.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2,5},{3,4,6}} => [7,5,4,6,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,5,7},{3,4,6}} => [1,5,4,6,7,3,2] => [.,[[[[.,.],.],.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,5},{3,4,6,7}} => [1,5,4,6,2,7,3] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,5},{3,4,6},{7}} => [1,5,4,6,2,3,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2,5},{3,4},{6}} => [7,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,5,7},{3,4},{6}} => [1,5,4,3,7,6,2] => [.,[[[[.,.],.],.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,5},{3,4,7},{6}} => [1,5,4,7,2,6,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,5},{3,4},{6,7}} => [1,5,4,3,2,7,6] => [.,[[[[.,.],.],.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,5},{3,4},{6},{7}} => [1,5,4,3,2,6,7] => [.,[[[[.,.],.],.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6,7},{2},{3,4,5}} => [6,2,4,5,3,7,1] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,6},{2,7},{3,4,5}} => [6,7,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2},{3,4,5,7}} => [6,2,4,5,7,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,6},{2},{3,4,5},{7}} => [6,2,4,5,3,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,6},{3,4,5}} => [7,6,4,5,3,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,6,7},{3,4,5}} => [1,6,4,5,3,7,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,6},{3,4,5,7}} => [1,6,4,5,7,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,6},{3,4,5},{7}} => [1,6,4,5,3,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2},{3,4,5,6}} => [7,2,4,5,6,3,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,7},{3,4,5,6}} => [1,7,4,5,6,3,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2},{3,4,5,6,7}} => [1,2,4,5,6,7,3] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,4,5,6},{7}} => [1,2,4,5,6,3,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2},{3,4,5},{6}} => [7,2,4,5,3,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,7},{3,4,5},{6}} => [1,7,4,5,3,6,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2},{3,4,5,7},{6}} => [1,2,4,5,7,6,3] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,4,5},{6,7}} => [1,2,4,5,3,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,4,5},{6},{7}} => [1,2,4,5,3,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6,7},{2},{3,4},{5}} => [6,2,4,3,5,7,1] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,6},{2,7},{3,4},{5}} => [6,7,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2},{3,4,7},{5}} => [6,2,4,7,5,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,6},{2},{3,4},{5,7}} => [6,2,4,3,7,1,5] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,6},{2},{3,4},{5},{7}} => [6,2,4,3,5,1,7] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,6},{3,4},{5}} => [7,6,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,6,7},{3,4},{5}} => [1,6,4,3,5,7,2] => [.,[[[[.,.],.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,6},{3,4,7},{5}} => [1,6,4,7,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,6},{3,4},{5,7}} => [1,6,4,3,7,2,5] => [.,[[[[.,.],.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,6},{3,4},{5},{7}} => [1,6,4,3,5,2,7] => [.,[[[[.,.],.],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2},{3,4,6},{5}} => [7,2,4,6,5,3,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,7},{3,4,6},{5}} => [1,7,4,6,5,3,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2},{3,4,6,7},{5}} => [1,2,4,6,5,7,3] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2},{3,4,6},{5,7}} => [1,2,4,6,7,3,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2},{3,4,6},{5},{7}} => [1,2,4,6,5,3,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2},{3,4},{5,6}} => [7,2,4,3,6,5,1] => [[[.,.],[[.,.],[[.,.],.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,7},{3,4},{5,6}} => [1,7,4,3,6,5,2] => [.,[[[[.,.],.],[[.,.],.]],.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2},{3,4,7},{5,6}} => [1,2,4,7,6,5,3] => [.,[.,[[.,.],[[[.,.],.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,4},{5,6,7}} => [1,2,4,3,6,7,5] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2},{3,4},{5,6},{7}} => [1,2,4,3,6,5,7] => [.,[.,[[.,.],[[.,.],[.,.]]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2},{3,4},{5},{6}} => [7,2,4,3,5,6,1] => [[[.,.],[[.,.],[.,[.,.]]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,7},{3,4},{5},{6}} => [1,7,4,3,5,6,2] => [.,[[[[.,.],.],[.,[.,.]]],.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2},{3,4,7},{5},{6}} => [1,2,4,7,5,6,3] => [.,[.,[[.,.],[[.,[.,.]],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,4},{5,7},{6}} => [1,2,4,3,7,6,5] => [.,[.,[[.,.],[[[.,.],.],.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,4},{5},{6,7}} => [1,2,4,3,5,7,6] => [.,[.,[[.,.],[.,[[.,.],.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,4},{5},{6},{7}} => [1,2,4,3,5,6,7] => [.,[.,[[.,.],[.,[.,[.,.]]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,6,7},{2},{3},{4}} => [5,2,3,4,6,7,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,6},{2,7},{3},{4}} => [5,7,3,4,6,1,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,6},{2},{3,7},{4}} => [5,2,7,4,6,1,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,6},{2},{3},{4,7}} => [5,2,3,7,6,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,6},{2},{3},{4},{7}} => [5,2,3,4,6,1,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,7},{2,6},{3},{4}} => [5,6,3,4,7,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,6,7},{3},{4}} => [5,6,3,4,1,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,6},{3,7},{4}} => [5,6,7,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2,6},{3},{4,7}} => [5,6,3,7,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,6},{3},{4},{7}} => [5,6,3,4,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,7},{2},{3,6},{4}} => [5,2,6,4,7,3,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,7},{3,6},{4}} => [5,7,6,4,1,3,2] => [[[.,[[.,.],.]],.],[[.,.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,5},{2},{3,6,7},{4}} => [5,2,6,4,1,7,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2},{3,6},{4,7}} => [5,2,6,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2},{3,6},{4},{7}} => [5,2,6,4,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,7},{2},{3},{4,6}} => [5,2,3,6,7,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,7},{3},{4,6}} => [5,7,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2},{3,7},{4,6}} => [5,2,7,6,1,4,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2},{3},{4,6,7}} => [5,2,3,6,1,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2},{3},{4,6},{7}} => [5,2,3,6,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5,7},{2},{3},{4},{6}} => [5,2,3,4,7,6,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2,7},{3},{4},{6}} => [5,7,3,4,1,6,2] => [[[.,[.,.]],[.,.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2},{3,7},{4},{6}} => [5,2,7,4,1,6,3] => [[[.,.],[[.,.],.]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2},{3},{4,7},{6}} => [5,2,3,7,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2},{3},{4},{6,7}} => [5,2,3,4,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,5},{2},{3},{4},{6},{7}} => [5,2,3,4,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6,7},{2,5},{3},{4}} => [6,5,3,4,2,7,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2,5,7},{3},{4}} => [6,5,3,4,7,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2,5},{3,7},{4}} => [6,5,7,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,6},{2,5},{3},{4,7}} => [6,5,3,7,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2,5},{3},{4},{7}} => [6,5,3,4,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2,5,6},{3},{4}} => [7,5,3,4,6,2,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,5,6,7},{3},{4}} => [1,5,3,4,6,7,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,5,6},{3,7},{4}} => [1,5,7,4,6,2,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,5,6},{3},{4,7}} => [1,5,3,7,6,2,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,5,6},{3},{4},{7}} => [1,5,3,4,6,2,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,5},{3,6},{4}} => [7,5,6,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,5,7},{3,6},{4}} => [1,5,6,4,7,3,2] => [.,[[[[.,.],.],.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,5},{3,6,7},{4}} => [1,5,6,4,2,7,3] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,5},{3,6},{4,7}} => [1,5,6,7,2,3,4] => [.,[[.,[.,[.,.]]],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,5},{3,6},{4},{7}} => [1,5,6,4,2,3,7] => [.,[[[.,[.,.]],.],[.,[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2,5},{3},{4,6}} => [7,5,3,6,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,5,7},{3},{4,6}} => [1,5,3,6,7,4,2] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,5},{3,7},{4,6}} => [1,5,7,6,2,4,3] => [.,[[.,[[.,.],.]],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,5},{3},{4,6,7}} => [1,5,3,6,2,7,4] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,5},{3},{4,6},{7}} => [1,5,3,6,2,4,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2,5},{3},{4},{6}} => [7,5,3,4,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,5,7},{3},{4},{6}} => [1,5,3,4,7,6,2] => [.,[[[.,.],[.,.]],[[.,.],.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,5},{3,7},{4},{6}} => [1,5,7,4,2,6,3] => [.,[[[.,[.,.]],.],[[.,.],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2,5},{3},{4,7},{6}} => [1,5,3,7,2,6,4] => [.,[[[.,.],[.,.]],[[.,.],.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,5},{3},{4},{6,7}} => [1,5,3,4,2,7,6] => [.,[[[.,.],[.,.]],[[.,.],.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,5},{3},{4},{6},{7}} => [1,5,3,4,2,6,7] => [.,[[[.,.],[.,.]],[.,[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,6,7},{2},{3,5},{4}} => [6,2,5,4,3,7,1] => [[[.,.],[[[.,.],.],.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2,7},{3,5},{4}} => [6,7,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1,6},{2},{3,5,7},{4}} => [6,2,5,4,7,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2},{3,5},{4,7}} => [6,2,5,7,3,1,4] => [[[.,.],[[.,[.,.]],.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2},{3,5},{4},{7}} => [6,2,5,4,3,1,7] => [[[.,.],[[[.,.],.],.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2,6},{3,5},{4}} => [7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1},{2,6,7},{3,5},{4}} => [1,6,5,4,3,7,2] => [.,[[[[[.,.],.],.],.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,6},{3,5,7},{4}} => [1,6,5,4,7,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,6},{3,5},{4,7}} => [1,6,5,7,3,2,4] => [.,[[[[.,.],[.,.]],.],[.,.]]] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,6},{3,5},{4},{7}} => [1,6,5,4,3,2,7] => [.,[[[[[.,.],.],.],.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,7},{2},{3,5,6},{4}} => [7,2,5,4,6,3,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,7},{3,5,6},{4}} => [1,7,5,4,6,3,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,5,6,7},{4}} => [1,2,5,4,6,7,3] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2},{3,5,6},{4,7}} => [1,2,5,7,6,3,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2},{3,5,6},{4},{7}} => [1,2,5,4,6,3,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,7},{2},{3,5},{4,6}} => [7,2,5,6,3,4,1] => [[[.,.],[[.,[.,.]],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,7},{3,5},{4,6}} => [1,7,5,6,3,4,2] => [.,[[[[.,.],[.,.]],[.,.]],.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2},{3,5,7},{4,6}} => [1,2,5,6,7,4,3] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2},{3,5},{4,6,7}} => [1,2,5,6,3,7,4] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2},{3,5},{4,6},{7}} => [1,2,5,6,3,4,7] => [.,[.,[[.,[.,.]],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,7},{2},{3,5},{4},{6}} => [7,2,5,4,3,6,1] => [[[.,.],[[[.,.],.],[.,.]]],.] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,7},{3,5},{4},{6}} => [1,7,5,4,3,6,2] => [.,[[[[[.,.],.],.],[.,.]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,5,7},{4},{6}} => [1,2,5,4,7,6,3] => [.,[.,[[[.,.],.],[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2},{3,5},{4,7},{6}} => [1,2,5,7,3,6,4] => [.,[.,[[.,[.,.]],[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2},{3,5},{4},{6,7}} => [1,2,5,4,3,7,6] => [.,[.,[[[.,.],.],[[.,.],.]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2},{3,5},{4},{6},{7}} => [1,2,5,4,3,6,7] => [.,[.,[[[.,.],.],[.,[.,.]]]]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6,7},{2},{3},{4,5}} => [6,2,3,5,4,7,1] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2,7},{3},{4,5}} => [6,7,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2},{3,7},{4,5}} => [6,2,7,5,4,1,3] => [[[.,.],[[[.,.],.],.]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2},{3},{4,5,7}} => [6,2,3,5,7,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2},{3},{4,5},{7}} => [6,2,3,5,4,1,7] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2,6},{3},{4,5}} => [7,6,3,5,4,2,1] => [[[[[.,.],.],[[.,.],.]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2,6,7},{3},{4,5}} => [1,6,3,5,4,7,2] => [.,[[[.,.],[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,6},{3,7},{4,5}} => [1,6,7,5,4,2,3] => [.,[[[[.,[.,.]],.],.],[.,.]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,6},{3},{4,5,7}} => [1,6,3,5,7,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,6},{3},{4,5},{7}} => [1,6,3,5,4,2,7] => [.,[[[.,.],[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2},{3,6},{4,5}} => [7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,7},{3,6},{4,5}} => [1,7,6,5,4,3,2] => [.,[[[[[[.,.],.],.],.],.],.]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1},{2},{3,6,7},{4,5}} => [1,2,6,5,4,7,3] => [.,[.,[[[[.,.],.],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,6},{4,5,7}} => [1,2,6,5,7,3,4] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,6},{4,5},{7}} => [1,2,6,5,4,3,7] => [.,[.,[[[[.,.],.],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2},{3},{4,5,6}} => [7,2,3,5,6,4,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,7},{3},{4,5,6}} => [1,7,3,5,6,4,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2},{3,7},{4,5,6}} => [1,2,7,5,6,4,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3},{4,5,6,7}} => [1,2,3,5,6,7,4] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3},{4,5,6},{7}} => [1,2,3,5,6,4,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2},{3},{4,5},{6}} => [7,2,3,5,4,6,1] => [[[.,.],[.,[[.,.],[.,.]]]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,7},{3},{4,5},{6}} => [1,7,3,5,4,6,2] => [.,[[[.,.],[[.,.],[.,.]]],.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2},{3,7},{4,5},{6}} => [1,2,7,5,4,6,3] => [.,[.,[[[[.,.],.],[.,.]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3},{4,5,7},{6}} => [1,2,3,5,7,6,4] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3},{4,5},{6,7}} => [1,2,3,5,4,7,6] => [.,[.,[.,[[.,.],[[.,.],.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3},{4,5},{6},{7}} => [1,2,3,5,4,6,7] => [.,[.,[.,[[.,.],[.,[.,.]]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6,7},{2},{3},{4},{5}} => [6,2,3,4,5,7,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2,7},{3},{4},{5}} => [6,7,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1,6},{2},{3,7},{4},{5}} => [6,2,7,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],[.,.]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,6},{2},{3},{4,7},{5}} => [6,2,3,7,5,1,4] => [[[.,.],[.,[[.,.],.]]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2},{3},{4},{5,7}} => [6,2,3,4,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,6},{2},{3},{4},{5},{7}} => [6,2,3,4,5,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2,6},{3},{4},{5}} => [7,6,3,4,5,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => ([(0,5),(1,4),(2,3),(3,6),(4,6),(5,6)],7) => 2

{{1},{2,6,7},{3},{4},{5}} => [1,6,3,4,5,7,2] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,6},{3,7},{4},{5}} => [1,6,7,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,6},{3},{4,7},{5}} => [1,6,3,7,5,2,4] => [.,[[[.,.],[[.,.],.]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,6},{3},{4},{5,7}} => [1,6,3,4,7,2,5] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2,6},{3},{4},{5},{7}} => [1,6,3,4,5,2,7] => [.,[[[.,.],[.,[.,.]]],[.,.]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2},{3,6},{4},{5}} => [7,2,6,4,5,3,1] => [[[.,.],[[[.,.],[.,.]],.]],.] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,7},{3,6},{4},{5}} => [1,7,6,4,5,3,2] => [.,[[[[[.,.],.],[.,.]],.],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,6,7},{4},{5}} => [1,2,6,4,5,7,3] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2},{3,6},{4,7},{5}} => [1,2,6,7,5,3,4] => [.,[.,[[[.,[.,.]],.],[.,.]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,6},{4},{5,7}} => [1,2,6,4,7,3,5] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1},{2},{3,6},{4},{5},{7}} => [1,2,6,4,5,3,7] => [.,[.,[[[.,.],[.,.]],[.,.]]]] => ([(0,6),(1,5),(2,5),(3,4),(4,6),(5,6)],7) => 2

{{1,7},{2},{3},{4,6},{5}} => [7,2,3,6,5,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,7},{3},{4,6},{5}} => [1,7,3,6,5,4,2] => [.,[[[.,.],[[[.,.],.],.]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,7},{4,6},{5}} => [1,2,7,6,5,4,3] => [.,[.,[[[[[.,.],.],.],.],.]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1},{2},{3},{4,6,7},{5}} => [1,2,3,6,5,7,4] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3},{4,6},{5,7}} => [1,2,3,6,7,4,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3},{4,6},{5},{7}} => [1,2,3,6,5,4,7] => [.,[.,[.,[[[.,.],.],[.,.]]]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1,7},{2},{3},{4},{5,6}} => [7,2,3,4,6,5,1] => [[[.,.],[.,[.,[[.,.],.]]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,7},{3},{4},{5,6}} => [1,7,3,4,6,5,2] => [.,[[[.,.],[.,[[.,.],.]]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,7},{4},{5,6}} => [1,2,7,4,6,5,3] => [.,[.,[[[.,.],[[.,.],.]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3},{4,7},{5,6}} => [1,2,3,7,6,5,4] => [.,[.,[.,[[[[.,.],.],.],.]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1},{2},{3},{4},{5,6,7}} => [1,2,3,4,6,7,5] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2},{3},{4},{5,6},{7}} => [1,2,3,4,6,5,7] => [.,[.,[.,[.,[[.,.],[.,.]]]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1,7},{2},{3},{4},{5},{6}} => [7,2,3,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2,7},{3},{4},{5},{6}} => [1,7,3,4,5,6,2] => [.,[[[.,.],[.,[.,[.,.]]]],.]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3,7},{4},{5},{6}} => [1,2,7,4,5,6,3] => [.,[.,[[[.,.],[.,[.,.]]],.]]] => ([(0,6),(1,4),(2,3),(3,6),(4,5),(5,6)],7) => 2

{{1},{2},{3},{4,7},{5},{6}} => [1,2,3,7,5,6,4] => [.,[.,[.,[[[.,.],[.,.]],.]]]] => ([(0,6),(1,6),(2,3),(3,5),(4,5),(4,6)],7) => 2

{{1},{2},{3},{4},{5,7},{6}} => [1,2,3,4,7,6,5] => [.,[.,[.,[.,[[[.,.],.],.]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1},{2},{3},{4},{5},{6,7}} => [1,2,3,4,5,7,6] => [.,[.,[.,[.,[.,[[.,.],.]]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

{{1},{2},{3},{4},{5},{6},{7}} => [1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => ([(0,6),(1,5),(2,3),(2,4),(3,5),(4,6)],7) => 1

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Description

The metric dimension of a graph.
This is the length of the shortest vector of vertices, such that every vertex is uniquely determined by the vector of distances from these vertices.

Map

to permutation

Description

Sends the set partition to the permutation obtained by considering the blocks as increasing cycles.

Map

to graph

Description

Return the undirected graph obtained from the tree nodes and edges, with leaves being ignored.

Map

binary search tree: left to right

Description

Return the shape of the binary search tree of the permutation as a non labelled binary tree.