Identifier
-
Mp00072:
Permutations
—binary search tree: left to right⟶
Binary trees
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
St000454: Graphs ⟶ ℤ
Values
[1] => [.,.] => [1] => ([],1) => 0
[1,2] => [.,[.,.]] => [2,1] => ([(0,1)],2) => 1
[2,1] => [[.,.],.] => [1,2] => ([],2) => 0
[1,2,3] => [.,[.,[.,.]]] => [3,2,1] => ([(0,1),(0,2),(1,2)],3) => 2
[2,1,3] => [[.,.],[.,.]] => [1,3,2] => ([(1,2)],3) => 1
[2,3,1] => [[.,.],[.,.]] => [1,3,2] => ([(1,2)],3) => 1
[3,1,2] => [[.,[.,.]],.] => [2,1,3] => ([(1,2)],3) => 1
[3,2,1] => [[[.,.],.],.] => [1,2,3] => ([],3) => 0
[1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => 3
[2,1,3,4] => [[.,.],[.,[.,.]]] => [1,4,3,2] => ([(1,2),(1,3),(2,3)],4) => 2
[2,3,1,4] => [[.,.],[.,[.,.]]] => [1,4,3,2] => ([(1,2),(1,3),(2,3)],4) => 2
[2,3,4,1] => [[.,.],[.,[.,.]]] => [1,4,3,2] => ([(1,2),(1,3),(2,3)],4) => 2
[3,1,2,4] => [[.,[.,.]],[.,.]] => [2,1,4,3] => ([(0,3),(1,2)],4) => 1
[3,1,4,2] => [[.,[.,.]],[.,.]] => [2,1,4,3] => ([(0,3),(1,2)],4) => 1
[3,2,1,4] => [[[.,.],.],[.,.]] => [1,2,4,3] => ([(2,3)],4) => 1
[3,2,4,1] => [[[.,.],.],[.,.]] => [1,2,4,3] => ([(2,3)],4) => 1
[3,4,1,2] => [[.,[.,.]],[.,.]] => [2,1,4,3] => ([(0,3),(1,2)],4) => 1
[3,4,2,1] => [[[.,.],.],[.,.]] => [1,2,4,3] => ([(2,3)],4) => 1
[4,1,2,3] => [[.,[.,[.,.]]],.] => [3,2,1,4] => ([(1,2),(1,3),(2,3)],4) => 2
[4,2,1,3] => [[[.,.],[.,.]],.] => [1,3,2,4] => ([(2,3)],4) => 1
[4,2,3,1] => [[[.,.],[.,.]],.] => [1,3,2,4] => ([(2,3)],4) => 1
[4,3,1,2] => [[[.,[.,.]],.],.] => [2,1,3,4] => ([(2,3)],4) => 1
[4,3,2,1] => [[[[.,.],.],.],.] => [1,2,3,4] => ([],4) => 0
[1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 4
[1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => ([(0,4),(1,4),(2,4),(3,4)],5) => 2
[2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[2,3,1,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[2,3,4,1,5] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[2,3,4,5,1] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[3,1,2,4,5] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => 2
[3,1,4,2,5] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => 2
[3,1,4,5,2] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => 2
[3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2
[3,2,4,1,5] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2
[3,2,4,5,1] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2
[3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => 2
[3,4,1,5,2] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => 2
[3,4,2,1,5] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2
[3,4,2,5,1] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2
[3,4,5,1,2] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => ([(0,1),(2,3),(2,4),(3,4)],5) => 2
[3,4,5,2,1] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => ([(2,3),(2,4),(3,4)],5) => 2
[4,1,2,3,5] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5) => 2
[4,1,2,5,3] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5) => 2
[4,1,5,2,3] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5) => 2
[4,2,1,3,5] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 1
[4,2,1,5,3] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 1
[4,2,3,1,5] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 1
[4,2,3,5,1] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 1
[4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 1
[4,2,5,3,1] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 1
[4,3,1,2,5] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => 1
[4,3,1,5,2] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => 1
[4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => ([(3,4)],5) => 1
[4,3,2,5,1] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => ([(3,4)],5) => 1
[4,3,5,1,2] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => 1
[4,3,5,2,1] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => ([(3,4)],5) => 1
[4,5,1,2,3] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => ([(0,1),(2,3),(2,4),(3,4)],5) => 2
[4,5,2,1,3] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 1
[4,5,2,3,1] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(1,4),(2,3)],5) => 1
[4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => ([(1,4),(2,3)],5) => 1
[4,5,3,2,1] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => ([(3,4)],5) => 1
[5,1,2,3,4] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => ([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => 3
[5,2,1,3,4] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => 2
[5,2,3,1,4] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => 2
[5,2,3,4,1] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => ([(2,3),(2,4),(3,4)],5) => 2
[5,3,1,2,4] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => ([(1,4),(2,3)],5) => 1
[5,3,1,4,2] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => ([(1,4),(2,3)],5) => 1
[5,3,2,1,4] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => ([(3,4)],5) => 1
[5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => ([(3,4)],5) => 1
[5,3,4,1,2] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => ([(1,4),(2,3)],5) => 1
[5,3,4,2,1] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => ([(3,4)],5) => 1
[5,4,1,2,3] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => ([(2,3),(2,4),(3,4)],5) => 2
[5,4,2,1,3] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => ([(3,4)],5) => 1
[5,4,2,3,1] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => ([(3,4)],5) => 1
[5,4,3,1,2] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => ([(3,4)],5) => 1
[5,4,3,2,1] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => ([],5) => 0
[1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 5
[2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,3,1,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[2,3,1,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,3,4,1,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[2,3,4,5,1,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[2,3,4,5,6,1] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[2,3,6,1,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,3,6,5,1,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,3,6,5,4,1] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[2,6,1,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,6,5,1,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,6,5,4,1,3] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[2,6,5,4,3,1] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[3,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,4,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,4,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,1,4,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,2,4,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,2,4,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,2,4,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
>>> Load all 1501 entries. <<<[3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,1,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,1,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,2,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,2,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,2,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,5,1,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,5,1,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,5,2,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,5,2,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,5,6,1,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[3,4,5,6,2,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[4,1,2,3,5,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2
[4,1,2,3,6,5] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,1,2,5,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2
[4,1,2,5,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2
[4,1,2,6,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,1,2,6,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,1,3,2,5,6] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,1,3,5,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,1,3,5,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,1,5,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2
[4,1,5,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2
[4,1,5,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,1,5,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,1,5,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2
[4,1,5,6,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,1,6,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,1,6,2,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,1,6,5,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,2,1,3,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,2,1,5,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,2,1,5,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,2,3,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,2,3,5,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,2,3,5,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,2,5,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,2,5,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,2,5,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,2,5,6,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,2,5,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,3,1,2,5,6] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,3,1,5,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,3,1,5,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2
[4,3,2,5,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2
[4,3,2,5,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2
[4,3,5,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,3,5,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,3,5,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2
[4,3,5,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2
[4,3,5,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,3,5,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2
[4,5,1,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2
[4,5,1,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2
[4,5,1,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,5,1,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,5,1,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2
[4,5,1,6,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,5,2,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,5,2,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,5,2,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,5,2,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,5,2,6,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,5,2,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,5,3,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,5,3,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,5,3,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2
[4,5,3,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2
[4,5,3,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,5,3,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2
[4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) => 2
[4,5,6,1,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,5,6,2,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,5,6,2,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,5,6,3,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[4,5,6,3,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(3,4),(3,5),(4,5)],6) => 2
[4,6,1,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,6,1,2,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,6,1,5,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[4,6,5,1,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,5),(1,5),(2,3),(2,4),(3,4)],6) => 2
[5,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,2,3,6,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,2,6,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,1,6,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,2,1,3,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,2,1,3,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,2,1,6,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,2,3,1,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,2,3,1,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,2,3,4,6,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,2,3,6,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,2,6,1,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,2,6,3,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,2,6,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,3,1,2,4,6] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,3,1,2,6,4] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,3,1,4,2,6] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,3,1,4,6,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,3,1,6,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,3,1,6,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,3,2,1,4,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,3,2,1,6,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,3,2,4,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,3,2,4,6,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,3,2,6,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,3,4,1,2,6] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,3,4,1,6,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,3,4,2,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,3,4,2,6,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,3,4,6,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,3,4,6,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,3,6,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,3,6,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,3,6,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,3,6,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,3,6,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,4,1,2,3,6] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,4,1,2,6,3] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,4,1,6,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,4,2,1,3,6] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,4,2,1,6,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,4,2,3,1,6] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,4,2,3,6,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,4,2,6,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,4,2,6,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,4,3,1,2,6] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,4,3,1,6,2] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => ([(4,5)],6) => 1
[5,4,3,2,6,1] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => ([(4,5)],6) => 1
[5,4,3,6,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,4,3,6,2,1] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => ([(4,5)],6) => 1
[5,4,6,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,4,6,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,4,6,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,4,6,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => ([(4,5)],6) => 1
[5,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => ([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[5,6,2,1,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,6,2,3,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,6,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,6,3,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,6,3,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,6,3,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,6,3,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,5),(1,4),(2,3)],6) => 1
[5,6,3,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(2,5),(3,4)],6) => 1
[5,6,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[5,6,4,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,6,4,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => ([(2,5),(3,4)],6) => 1
[5,6,4,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => ([(4,5)],6) => 1
[6,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => ([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 4
[6,1,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => ([(1,5),(2,5),(3,5),(4,5)],6) => 2
[6,2,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,2,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,2,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,3,1,2,4,5] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[6,3,1,4,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[6,3,1,4,5,2] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[6,3,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2
[6,3,2,4,1,5] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2
[6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2
[6,3,4,1,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[6,3,4,1,5,2] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[6,3,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2
[6,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2
[6,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[6,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => ([(3,4),(3,5),(4,5)],6) => 2
[6,4,1,2,3,5] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[6,4,1,2,5,3] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[6,4,1,5,2,3] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[6,4,2,1,3,5] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1
[6,4,2,1,5,3] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1
[6,4,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1
[6,4,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1
[6,4,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1
[6,4,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1
[6,4,3,1,2,5] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 1
[6,4,3,1,5,2] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 1
[6,4,3,2,1,5] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => ([(4,5)],6) => 1
[6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => ([(4,5)],6) => 1
[6,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 1
[6,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => ([(4,5)],6) => 1
[6,4,5,1,2,3] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => ([(1,2),(3,4),(3,5),(4,5)],6) => 2
[6,4,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1
[6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(2,5),(3,4)],6) => 1
[6,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => ([(2,5),(3,4)],6) => 1
[6,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => ([(4,5)],6) => 1
[6,5,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => ([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) => 3
[6,5,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 2
[6,5,2,3,1,4] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 2
[6,5,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => ([(3,4),(3,5),(4,5)],6) => 2
[6,5,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => 1
[6,5,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => 1
[6,5,3,2,1,4] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => ([(4,5)],6) => 1
[6,5,3,2,4,1] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => ([(4,5)],6) => 1
[6,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => ([(2,5),(3,4)],6) => 1
[6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => ([(4,5)],6) => 1
[6,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => ([(3,4),(3,5),(4,5)],6) => 2
[6,5,4,2,1,3] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => ([(4,5)],6) => 1
[6,5,4,2,3,1] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => ([(4,5)],6) => 1
[6,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => ([(4,5)],6) => 1
[6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => ([],6) => 0
[1,2,3,4,5,6,7] => [.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 6
[1,2,3,6,4,5,7] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,2,3,6,4,7,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,2,3,6,7,4,5] => [.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => ([(0,3),(0,4),(0,5),(0,6),(1,2),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[1,6,4,2,3,5,7] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,4,2,3,7,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,4,2,5,3,7] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,4,2,5,7,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,4,2,7,3,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,4,2,7,5,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,4,5,2,3,7] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,4,5,2,7,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,4,5,7,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,4,7,2,3,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,4,7,2,5,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,4,7,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,7,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,7,4,2,5,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[1,6,7,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => ([(0,5),(0,6),(1,4),(1,6),(2,3),(2,6),(3,6),(4,6),(5,6)],7) => 3
[2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[2,3,1,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[2,3,4,1,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[2,3,4,5,1,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[2,3,4,5,6,1,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[2,3,4,5,6,7,1] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[3,1,2,4,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,1,2,4,7,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,1,2,7,6,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,4,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,1,4,2,7,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,1,4,5,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,1,4,5,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,1,4,5,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,1,4,7,2,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,1,4,7,6,2,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,1,4,7,6,5,2] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,1,7,2,6,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,7,6,2,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,7,6,5,2,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,1,7,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,2,1,4,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,4,1,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,2,4,1,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,2,4,5,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,2,4,5,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,2,4,5,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,2,4,7,1,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,2,4,7,6,1,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,2,4,7,6,5,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,2,7,1,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,7,6,1,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,7,6,5,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,2,7,6,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,4,1,2,5,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,1,2,7,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,1,5,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,1,5,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,1,5,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,1,7,2,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,1,7,6,2,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,1,7,6,5,2] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,2,1,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,2,1,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,2,5,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,2,5,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,2,5,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,2,7,1,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,2,7,6,1,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,2,7,6,5,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,5,1,2,6,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,5,1,6,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,5,1,6,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,5,2,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,5,2,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,5,2,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,5,6,1,2,7] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,5,6,1,7,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,5,6,2,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,5,6,2,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,5,6,7,1,2] => [[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,5,6,7,2,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[3,4,7,1,2,6,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,7,1,6,2,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,7,1,6,5,2] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,7,2,1,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,7,2,6,1,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,7,2,6,5,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,7,6,1,2,5] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,7,6,1,5,2] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,7,6,2,1,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,7,6,2,5,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,7,6,5,1,2] => [[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,4,7,6,5,2,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[3,7,1,2,6,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,1,6,2,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,1,6,5,2,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,1,6,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,2,1,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,2,6,1,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,2,6,5,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,2,6,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,1,2,5,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,1,5,2,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,1,5,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,2,1,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,2,5,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,2,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,5,1,2,4] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,5,1,4,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,5,2,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,5,2,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,5,4,1,2] => [[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[3,7,6,5,4,2,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[4,1,2,3,5,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,2,3,7,6,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,1,2,5,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,2,5,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,2,5,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,2,7,3,6,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,1,2,7,6,3,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,1,2,7,6,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,1,3,2,5,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,3,5,2,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,3,5,6,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,3,5,6,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,5,2,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,5,2,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,5,2,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,5,3,2,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,5,3,6,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,5,3,6,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,5,6,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,5,6,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,5,6,3,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,5,6,3,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,5,6,7,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,5,6,7,3,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,1,7,2,3,6,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,1,7,2,6,3,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,1,7,2,6,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,1,7,6,2,3,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,1,7,6,2,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,1,7,6,5,2,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,2,1,3,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,1,5,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,1,5,6,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,1,5,6,7,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,3,1,5,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,3,5,1,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,3,5,6,1,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,3,5,6,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,5,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,5,1,6,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,5,1,6,7,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,5,3,1,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,5,3,6,1,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,5,3,6,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,5,6,1,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,5,6,1,7,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,5,6,3,1,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,5,6,3,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,5,6,7,1,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,2,5,6,7,3,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,1,2,5,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,1,5,2,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,1,5,6,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,1,5,6,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,2,1,5,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,2,5,1,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,2,5,6,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,2,5,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,5,1,2,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,5,1,6,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,5,1,6,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,5,2,1,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,5,2,6,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,5,2,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,5,6,1,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,5,6,1,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,5,6,2,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,5,6,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,5,6,7,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,3,5,6,7,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,1,2,3,6,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,1,2,6,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,1,2,6,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,1,3,2,6,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,1,3,6,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,1,3,6,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,1,6,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,1,6,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,1,6,3,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,1,6,3,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,1,6,7,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,1,6,7,3,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,2,1,3,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,2,1,6,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,2,1,6,7,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,2,3,1,6,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,2,3,6,1,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,2,3,6,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,2,6,1,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,2,6,1,7,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,2,6,3,1,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,2,6,3,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,2,6,7,1,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,2,6,7,3,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,3,1,2,6,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,3,1,6,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,3,1,6,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,3,2,1,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,3,2,6,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,3,2,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,3,6,1,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,3,6,1,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,3,6,2,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,3,6,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,3,6,7,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,3,6,7,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,1,2,3,7] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,1,2,7,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,1,3,2,7] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,1,3,7,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,1,7,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,1,7,3,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,2,1,3,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,2,1,7,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,2,3,1,7] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,2,3,7,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,2,7,1,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,2,7,3,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,3,1,2,7] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,3,1,7,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,3,2,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,3,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,3,7,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,3,7,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,7,1,2,3] => [[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,7,1,3,2] => [[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,7,2,1,3] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,7,2,3,1] => [[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,7,3,1,2] => [[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,5,6,7,3,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[4,7,1,2,3,6,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,7,1,2,6,3,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,7,1,2,6,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,7,1,6,2,3,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,7,1,6,2,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,7,1,6,5,2,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,7,6,1,2,3,5] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,7,6,1,2,5,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,7,6,1,5,2,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[4,7,6,5,1,2,3] => [[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,1,2,3,4,6,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,2,3,4,7,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,2,3,6,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,2,3,6,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,2,3,7,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,2,3,7,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,2,6,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,2,6,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,2,6,7,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,2,7,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,2,7,3,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,2,7,6,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,4,3,2,6,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,1,4,3,6,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,1,4,3,6,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,1,4,6,3,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,1,4,6,3,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,1,4,6,7,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,1,6,2,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,6,2,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,6,2,7,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,6,4,3,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,1,6,4,3,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,1,6,4,7,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,1,6,7,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,6,7,4,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,1,7,2,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,7,2,3,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,7,2,6,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,1,7,6,2,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,2,1,3,4,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,1,3,4,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,1,3,6,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,1,3,6,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,1,3,7,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,1,3,7,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,1,4,3,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,1,4,6,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,1,4,6,7,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,1,6,3,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,1,6,3,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,1,6,4,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,1,6,4,7,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,1,6,7,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,1,6,7,4,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,1,7,3,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,1,7,3,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,1,7,6,3,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,3,1,4,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,3,1,4,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,3,1,6,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,3,1,6,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,3,1,7,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,3,1,7,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,3,4,1,6,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,3,4,1,7,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,3,4,6,1,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,3,4,6,7,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,3,4,7,1,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,3,4,7,6,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,3,6,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,3,6,1,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,3,6,4,1,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,3,6,4,7,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,3,6,7,1,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,3,6,7,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,3,7,1,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,3,7,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,3,7,4,1,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,3,7,4,6,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,3,7,6,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,3,7,6,4,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,4,1,3,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,4,1,6,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,4,1,6,7,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,4,3,1,6,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,4,3,6,1,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,4,3,6,7,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,4,6,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,4,6,1,7,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,4,6,3,1,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,4,6,3,7,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,4,6,7,1,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,4,6,7,3,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,6,1,3,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,6,1,3,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,6,1,4,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,6,1,4,7,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,6,1,7,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,6,1,7,4,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,6,3,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,6,3,1,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,6,3,4,1,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,6,3,4,7,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,6,3,7,1,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,6,3,7,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,6,4,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,6,4,1,7,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,6,4,3,1,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,6,4,3,7,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,6,4,7,1,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,6,4,7,3,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,6,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,6,7,1,4,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,6,7,3,1,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,6,7,3,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,2,6,7,4,1,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,6,7,4,3,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,7,1,3,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,7,1,3,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,7,1,6,3,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,7,3,1,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,7,3,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,7,3,4,1,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,7,3,4,6,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,7,3,6,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,7,3,6,4,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,7,6,1,3,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,7,6,3,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,2,7,6,3,4,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,3,1,2,4,6,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,1,2,6,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,1,2,6,7,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,1,4,2,6,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,1,4,6,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,1,4,6,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,1,6,2,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,1,6,2,7,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,1,6,4,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,1,6,4,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,1,6,7,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,1,6,7,4,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,2,1,4,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,2,1,6,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,2,1,6,7,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,2,4,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,2,4,6,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,2,4,6,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,2,6,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,2,6,1,7,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,2,6,4,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,2,6,4,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,2,6,7,1,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,2,6,7,4,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,4,1,2,6,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,4,1,6,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,4,1,6,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,4,2,1,6,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,4,2,6,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,4,2,6,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,4,6,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,4,6,1,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,4,6,2,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,4,6,2,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,4,6,7,1,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,4,6,7,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,1,2,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,1,2,7,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,1,4,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,1,4,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,1,7,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,1,7,4,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,2,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,2,1,7,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,2,4,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,2,4,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,2,7,1,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,2,7,4,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,4,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,4,1,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,4,2,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,4,2,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,4,7,1,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,4,7,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,7,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,7,1,4,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,7,2,1,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,7,2,4,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,7,4,1,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,3,6,7,4,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,1,2,3,6,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,4,1,2,3,7,6] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,1,2,6,3,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,4,1,2,6,7,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,4,1,2,7,3,6] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,1,2,7,6,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,1,3,2,6,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,1,3,6,2,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,1,3,6,7,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,1,6,2,3,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,4,1,6,2,7,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,4,1,6,3,2,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,1,6,3,7,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,1,6,7,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,4,1,6,7,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,1,7,2,3,6] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,1,7,2,6,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,1,7,6,2,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,2,1,3,6,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,2,1,6,3,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,2,1,6,7,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,2,3,1,6,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,2,3,6,1,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,2,3,6,7,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,2,6,1,3,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,2,6,1,7,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,2,6,3,1,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,2,6,3,7,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,2,6,7,1,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,2,6,7,3,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,3,1,2,6,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,3,1,6,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,3,1,6,7,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,4,3,2,6,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,4,3,2,6,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,4,3,6,1,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,3,6,1,7,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,3,6,2,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,4,3,6,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,4,3,6,7,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,3,6,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,4,6,1,2,3,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,4,6,1,2,7,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,4,6,1,3,2,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,6,1,3,7,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,6,1,7,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,4,6,1,7,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,6,2,1,3,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,6,2,1,7,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,6,2,3,1,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,6,2,3,7,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,6,2,7,1,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,6,2,7,3,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,6,3,1,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,6,3,1,7,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,6,3,2,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,4,6,3,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,4,6,3,7,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,6,3,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,4,6,7,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,4,6,7,1,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,6,7,2,1,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,6,7,2,3,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,6,7,3,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,4,6,7,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,4,7,1,2,3,6] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,7,1,2,6,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,7,1,6,2,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,4,7,6,1,2,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,1,2,3,4,7] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,6,1,2,3,7,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,6,1,2,7,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,6,1,4,3,2,7] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,1,4,3,7,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,1,4,7,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,1,7,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,6,1,7,4,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,2,1,3,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,2,1,3,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,2,1,4,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,2,1,4,7,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,2,1,7,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,2,1,7,4,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,2,3,1,4,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,2,3,1,7,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,2,3,4,1,7] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,2,3,4,7,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,2,3,7,1,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,2,3,7,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,2,4,1,3,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,2,4,1,7,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,2,4,3,1,7] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,2,4,3,7,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,2,4,7,1,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,2,4,7,3,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,2,7,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,2,7,1,4,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,2,7,3,1,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,2,7,3,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,2,7,4,1,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,2,7,4,3,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,3,1,2,4,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,1,2,7,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,1,4,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,1,4,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,1,7,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,1,7,4,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,2,1,4,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,2,1,7,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,2,4,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,2,4,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,2,7,1,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,2,7,4,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,4,1,2,7] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,4,1,7,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,4,2,1,7] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,4,2,7,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,4,7,1,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,4,7,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,7,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,7,1,4,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,7,2,1,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,7,2,4,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,7,4,1,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,3,7,4,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,4,1,2,3,7] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,4,1,2,7,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,4,1,3,2,7] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,4,1,3,7,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,4,1,7,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,4,1,7,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,4,2,1,3,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,4,2,1,7,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,4,2,3,1,7] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,4,2,3,7,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,4,2,7,1,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,4,2,7,3,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,4,3,1,2,7] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,4,3,1,7,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,4,3,2,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,6,4,3,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,6,4,3,7,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,4,3,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,6,4,7,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,4,7,1,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,4,7,2,1,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,4,7,2,3,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,4,7,3,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,4,7,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,6,7,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => ([(0,1),(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,6,7,1,4,3,2] => [[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => ([(0,6),(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,7,2,1,3,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,7,2,1,4,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,7,2,3,1,4] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,7,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,7,2,4,1,3] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,7,2,4,3,1] => [[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,7,3,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,7,3,1,4,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,7,3,2,1,4] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,7,3,2,4,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,7,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[5,6,7,3,4,2,1] => [[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,7,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[5,6,7,4,1,3,2] => [[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,6,7,4,2,1,3] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,7,4,2,3,1] => [[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,7,4,3,1,2] => [[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[5,6,7,4,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(4,5),(4,6),(5,6)],7) => 2
[5,7,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,7,1,2,3,6,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,7,1,2,6,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,7,1,6,2,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,7,2,1,3,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,2,1,3,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,2,1,6,3,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,2,3,1,4,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,2,3,1,6,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,2,3,4,6,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,2,3,6,4,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,2,6,1,3,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,2,6,3,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,2,6,3,4,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,4,1,2,3,6] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,4,1,2,6,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,4,1,6,2,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,4,6,1,2,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => ([(0,2),(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[5,7,6,2,1,3,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,6,2,3,1,4] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,6,2,3,4,1] => [[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[5,7,6,4,1,2,3] => [[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[6,1,2,3,4,5,7] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[6,1,2,3,4,7,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[6,1,2,3,7,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[6,1,2,5,4,3,7] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,1,2,5,4,7,3] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,1,2,5,7,4,3] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,1,2,7,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[6,1,2,7,5,4,3] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,1,5,4,3,2,7] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,5,4,3,7,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,5,4,7,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,5,7,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,1,7,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[6,1,7,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,1,7,5,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,2,1,3,4,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,1,3,4,7,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,1,3,7,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,1,7,3,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,3,1,4,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,3,1,4,7,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,3,1,7,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,3,4,1,5,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,3,4,1,7,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,3,4,5,1,7] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,3,4,5,7,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,3,4,7,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,3,4,7,5,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,3,7,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,3,7,4,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,3,7,4,5,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,7,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,7,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,7,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,2,7,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,3,1,2,4,5,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,1,2,4,7,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,1,2,7,4,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,1,4,2,5,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,1,4,2,7,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,1,4,5,2,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,1,4,5,7,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,1,4,7,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,1,4,7,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,1,7,2,4,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,1,7,4,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,1,7,4,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,2,1,4,5,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,2,1,4,7,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,2,1,7,4,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,2,4,1,5,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,2,4,1,7,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,2,4,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,2,4,5,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,2,4,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,2,4,7,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,2,7,1,4,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,2,7,4,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,2,7,4,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,1,2,5,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,1,2,7,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,1,5,2,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,1,5,7,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,1,7,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,1,7,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,2,1,5,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,2,1,7,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,2,5,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,2,5,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,2,7,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,2,7,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,5,1,2,7] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,5,1,7,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,5,2,1,7] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,5,2,7,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,5,7,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,5,7,2,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,7,1,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,7,1,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,7,2,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,7,2,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,7,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,4,7,5,2,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,7,1,2,4,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,7,1,4,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,7,1,4,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,7,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,7,2,4,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,7,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,7,4,1,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,7,4,1,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,7,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,7,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,3,7,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,3,7,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,4,1,2,3,5,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,1,2,3,7,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,1,2,5,3,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,1,2,5,7,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,1,2,7,3,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,1,2,7,5,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,1,5,2,3,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,1,5,2,7,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,1,5,7,2,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,1,7,2,3,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,1,7,2,5,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,1,7,5,2,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,2,1,3,5,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,1,3,7,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,1,5,3,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,1,5,7,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,1,7,3,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,1,7,5,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,3,1,5,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,3,1,7,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,3,5,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,3,5,7,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,3,7,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,3,7,5,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,5,1,3,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,5,1,7,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,5,3,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,5,3,7,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,5,7,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,5,7,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,7,1,3,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,7,1,5,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,7,3,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,7,3,5,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,7,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,2,7,5,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,3,1,2,5,7] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,3,1,2,7,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,3,1,5,2,7] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,3,1,5,7,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,3,1,7,2,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,3,1,7,5,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,3,2,1,5,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,3,2,1,7,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,3,2,5,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,3,2,5,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,3,2,7,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,3,2,7,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,3,5,1,2,7] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,3,5,1,7,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,3,5,2,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,3,5,2,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,3,5,7,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,3,5,7,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,3,7,1,2,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,3,7,1,5,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,3,7,2,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,3,7,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,3,7,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,3,7,5,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,5,1,2,3,7] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,5,1,2,7,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,5,1,7,2,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,5,2,1,3,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,5,2,1,7,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,5,2,3,1,7] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,5,2,3,7,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,5,2,7,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,5,2,7,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,5,3,1,2,7] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,5,3,1,7,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,5,3,2,1,7] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,5,3,2,7,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,5,3,7,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,5,3,7,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,5,7,1,2,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,5,7,2,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,5,7,2,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,5,7,3,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,5,7,3,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,7,1,2,3,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,7,1,2,5,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,7,1,5,2,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,7,2,1,3,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,7,2,1,5,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,7,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,7,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,7,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,7,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,7,3,1,2,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,7,3,1,5,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,7,3,2,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,7,3,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,7,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,7,3,5,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,4,7,5,1,2,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,4,7,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,7,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,7,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,4,7,5,3,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,1,2,3,4,7] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,5,1,2,3,7,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,5,1,2,7,3,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,5,1,7,2,3,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,5,2,1,3,4,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,2,1,3,7,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,2,1,7,3,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,2,3,1,4,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,2,3,1,7,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,2,3,4,1,7] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,2,3,4,7,1] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,2,3,7,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,2,3,7,4,1] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,2,7,1,3,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,2,7,3,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,2,7,3,4,1] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,3,1,2,4,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,3,1,2,7,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,3,1,4,2,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,3,1,4,7,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,3,1,7,2,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,3,1,7,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,3,2,1,4,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,3,2,1,7,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,3,2,4,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,3,2,4,7,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,3,2,7,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,3,2,7,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,3,4,1,2,7] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,3,4,1,7,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,3,4,2,1,7] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,3,4,2,7,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,3,4,7,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,3,4,7,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,3,7,1,2,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,3,7,1,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,3,7,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,3,7,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,3,7,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,3,7,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,4,1,2,3,7] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,4,1,2,7,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,4,1,7,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,4,2,1,3,7] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,4,2,1,7,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,4,2,3,1,7] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,4,2,3,7,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,4,2,7,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,4,2,7,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,4,3,1,2,7] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,4,3,1,7,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 1
[6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 1
[6,5,4,3,7,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,4,3,7,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 1
[6,5,4,7,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,4,7,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,4,7,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,4,7,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,4,7,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 1
[6,5,7,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,5,7,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,7,2,3,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,7,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,7,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,7,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,7,3,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,7,3,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,7,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,5,7,3,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,7,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,5,7,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,7,4,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,7,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,5,7,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 1
[6,7,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => ([(0,1),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[6,7,1,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => ([(0,1),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,7,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => ([(0,1),(2,6),(3,6),(4,6),(5,6)],7) => 2
[6,7,2,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,7,2,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,7,2,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,7,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,7,3,1,2,4,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,7,3,1,4,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,7,3,1,4,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,7,3,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,7,3,2,4,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,7,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,7,3,4,1,2,5] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,7,3,4,1,5,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,7,3,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,7,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,7,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,7,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,7,4,1,2,3,5] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,7,4,1,2,5,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,7,4,1,5,2,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,7,4,2,1,3,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,4,2,1,5,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,4,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,4,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,4,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,4,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,4,3,1,2,5] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,4,3,1,5,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,4,3,2,1,5] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,7,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,7,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,7,4,5,1,2,3] => [[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => ([(0,3),(1,2),(4,5),(4,6),(5,6)],7) => 2
[6,7,4,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => ([(3,6),(4,5)],7) => 1
[6,7,5,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[6,7,5,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,7,5,2,3,1,4] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,7,5,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,7,5,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,5,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,5,3,2,1,4] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,7,5,3,2,4,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,7,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => ([(1,6),(2,5),(3,4)],7) => 1
[6,7,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,7,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[6,7,5,4,2,1,3] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,7,5,4,2,3,1] => [[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,7,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => ([(3,6),(4,5)],7) => 1
[6,7,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => ([(5,6)],7) => 1
[7,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => ([(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 5
[7,2,1,3,4,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[7,2,1,3,6,5,4] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,2,1,6,5,4,3] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,3,1,4,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[7,2,3,1,6,5,4] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,2,3,4,1,5,6] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[7,2,3,4,5,1,6] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[7,2,3,4,5,6,1] => [[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[7,2,3,6,1,5,4] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,2,3,6,5,1,4] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,2,3,6,5,4,1] => [[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,2,6,1,5,4,3] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,6,5,1,4,3] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,6,5,4,1,3] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,2,6,5,4,3,1] => [[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,3,1,2,4,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,1,4,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,1,4,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,1,4,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,2,1,4,5,6] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,2,4,1,5,6] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,2,4,5,1,6] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,2,4,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,4,1,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,4,1,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,4,1,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,4,2,1,5,6] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,4,2,5,1,6] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,4,2,5,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,4,5,1,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,4,5,1,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,4,5,2,1,6] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,4,5,2,6,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,4,5,6,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,3,4,5,6,2,1] => [[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,4,1,2,3,5,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[7,4,1,2,3,6,5] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,1,2,5,3,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[7,4,1,2,5,6,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[7,4,1,2,6,3,5] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,1,2,6,5,3] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,1,3,2,5,6] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,1,3,5,2,6] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,1,3,5,6,2] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,1,5,2,3,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[7,4,1,5,2,6,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[7,4,1,5,3,2,6] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,1,5,3,6,2] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,1,5,6,2,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[7,4,1,5,6,3,2] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,1,6,2,3,5] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,1,6,2,5,3] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,1,6,5,2,3] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,2,1,3,5,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,2,1,5,3,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,2,1,5,6,3] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,2,3,1,5,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,2,3,5,1,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,2,3,5,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,2,5,1,3,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,2,5,1,6,3] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,2,5,3,1,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,2,5,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,2,5,6,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,2,5,6,3,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,3,1,2,5,6] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,3,1,5,2,6] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,3,1,5,6,2] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,3,2,1,5,6] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,4,3,2,5,1,6] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,4,3,2,5,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,4,3,5,1,2,6] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,3,5,1,6,2] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,3,5,2,1,6] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,4,3,5,2,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,4,3,5,6,1,2] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,3,5,6,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,4,5,1,2,3,6] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[7,4,5,1,2,6,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[7,4,5,1,3,2,6] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,5,1,3,6,2] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,5,1,6,2,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[7,4,5,1,6,3,2] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,5,2,1,3,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,5,2,1,6,3] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,5,2,3,1,6] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,5,2,3,6,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,5,2,6,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,5,2,6,3,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,5,3,1,2,6] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,5,3,1,6,2] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,5,3,2,1,6] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,4,5,3,2,6,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,4,5,3,6,1,2] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,5,3,6,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,4,5,6,1,2,3] => [[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => ([(1,5),(1,6),(2,3),(2,4),(3,4),(5,6)],7) => 2
[7,4,5,6,1,3,2] => [[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,5,6,2,1,3] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,5,6,2,3,1] => [[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,5,6,3,1,2] => [[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,4,5,6,3,2,1] => [[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,4,6,1,2,3,5] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,6,1,2,5,3] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,6,1,5,2,3] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,4,6,5,1,2,3] => [[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => ([(1,6),(2,6),(3,4),(3,5),(4,5)],7) => 2
[7,5,1,2,3,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,5,1,2,3,6,4] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,5,1,2,6,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,5,1,6,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,5,2,1,3,4,6] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,2,1,3,6,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,2,1,6,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,2,3,1,4,6] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,2,3,1,6,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,2,3,4,1,6] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,2,3,4,6,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,2,3,6,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,2,3,6,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,2,6,1,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,2,6,3,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,2,6,3,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,3,1,2,4,6] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,3,1,2,6,4] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,3,1,4,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,3,1,4,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,3,1,6,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,3,1,6,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,3,2,1,4,6] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,3,2,1,6,4] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,3,2,4,1,6] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,3,2,4,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,3,2,6,1,4] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,3,2,6,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,3,4,1,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,3,4,1,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,3,4,2,1,6] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,3,4,2,6,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,3,4,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,3,4,6,2,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,3,6,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,3,6,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,3,6,2,1,4] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,3,6,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,3,6,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,3,6,4,2,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,4,1,2,3,6] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,4,1,2,6,3] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,4,1,6,2,3] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,4,2,1,3,6] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,4,2,1,6,3] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,4,2,3,1,6] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,4,2,3,6,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,4,2,6,1,3] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,4,2,6,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,4,3,1,2,6] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,4,3,1,6,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,4,3,2,1,6] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 1
[7,5,4,3,2,6,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 1
[7,5,4,3,6,1,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,4,3,6,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 1
[7,5,4,6,1,2,3] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,4,6,2,1,3] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,4,6,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,4,6,3,1,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,4,6,3,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 1
[7,5,6,1,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => ([(1,2),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,5,6,2,1,3,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,6,2,3,1,4] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,6,2,3,4,1] => [[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,6,3,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,6,3,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,6,3,2,1,4] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,6,3,2,4,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,6,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => ([(1,6),(2,5),(3,4)],7) => 1
[7,5,6,3,4,2,1] => [[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,6,4,1,2,3] => [[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,5,6,4,2,1,3] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,6,4,2,3,1] => [[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,6,4,3,1,2] => [[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => ([(3,6),(4,5)],7) => 1
[7,5,6,4,3,2,1] => [[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => ([(5,6)],7) => 1
[7,6,1,2,3,4,5] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => ([(2,3),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 4
[7,6,1,2,5,4,3] => [[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => ([(2,5),(2,6),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,6,1,5,4,3,2] => [[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => ([(2,6),(3,6),(4,6),(5,6)],7) => 2
[7,6,2,1,3,4,5] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,6,2,3,1,4,5] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,6,2,3,4,1,5] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,6,2,3,4,5,1] => [[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,6,3,1,2,4,5] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,6,3,1,4,2,5] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,6,3,1,4,5,2] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,6,3,2,1,4,5] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,6,3,2,4,1,5] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,6,3,2,4,5,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,6,3,4,1,2,5] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,6,3,4,1,5,2] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,6,3,4,2,1,5] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,6,3,4,2,5,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,6,3,4,5,1,2] => [[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,6,3,4,5,2,1] => [[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,6,4,1,2,3,5] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,6,4,1,2,5,3] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,6,4,1,5,2,3] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,6,4,2,1,3,5] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,4,2,1,5,3] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,4,2,3,1,5] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,4,2,3,5,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,4,2,5,1,3] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,4,2,5,3,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,4,3,1,2,5] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,4,3,1,5,2] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,4,3,2,1,5] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => ([(5,6)],7) => 1
[7,6,4,3,2,5,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => ([(5,6)],7) => 1
[7,6,4,3,5,1,2] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,4,3,5,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => ([(5,6)],7) => 1
[7,6,4,5,1,2,3] => [[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => ([(2,3),(4,5),(4,6),(5,6)],7) => 2
[7,6,4,5,2,1,3] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,4,5,2,3,1] => [[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,4,5,3,1,2] => [[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,4,5,3,2,1] => [[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => ([(5,6)],7) => 1
[7,6,5,1,2,3,4] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => ([(3,4),(3,5),(3,6),(4,5),(4,6),(5,6)],7) => 3
[7,6,5,2,1,3,4] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,6,5,2,3,1,4] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,6,5,2,3,4,1] => [[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,6,5,3,1,2,4] => [[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,5,3,1,4,2] => [[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,5,3,2,1,4] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => ([(5,6)],7) => 1
[7,6,5,3,2,4,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => ([(5,6)],7) => 1
[7,6,5,3,4,1,2] => [[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => ([(3,6),(4,5)],7) => 1
[7,6,5,3,4,2,1] => [[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => ([(5,6)],7) => 1
[7,6,5,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => ([(4,5),(4,6),(5,6)],7) => 2
[7,6,5,4,2,1,3] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => ([(5,6)],7) => 1
[7,6,5,4,2,3,1] => [[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => ([(5,6)],7) => 1
[7,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => ([(5,6)],7) => 1
[7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => ([],7) => 0
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Generating function
$F_{1} = 1$
$F_{2} = 1 + q$
Description
The largest eigenvalue of a graph if it is integral.
If a graph is $d$-regular, then its largest eigenvalue equals $d$. One can show that the largest eigenvalue always lies between the average degree and the maximal degree.
This statistic is undefined if the largest eigenvalue of the graph is not integral.
If a graph is $d$-regular, then its largest eigenvalue equals $d$. One can show that the largest eigenvalue always lies between the average degree and the maximal degree.
This statistic is undefined if the largest eigenvalue of the graph is not integral.
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.
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
graph of inversions
Description
The graph of inversions of a permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
For a permutation of $\{1,\dots,n\}$, this is the graph with vertices $\{1,\dots,n\}$, where $(i,j)$ is an edge if and only if it is an inversion of the permutation.
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