Identifier
-
Mp00072:
Permutations
—binary search tree: left to right⟶
Binary trees
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00065: Permutations —permutation poset⟶ Posets
St000100: Posets ⟶ ℤ
Values
[1,2] => [.,[.,.]] => [2,1] => ([],2) => 2
[2,1] => [[.,.],.] => [1,2] => ([(0,1)],2) => 1
[1,2,3] => [.,[.,[.,.]]] => [3,2,1] => ([],3) => 6
[1,3,2] => [.,[[.,.],.]] => [2,3,1] => ([(1,2)],3) => 3
[2,1,3] => [[.,.],[.,.]] => [1,3,2] => ([(0,1),(0,2)],3) => 2
[2,3,1] => [[.,.],[.,.]] => [1,3,2] => ([(0,1),(0,2)],3) => 2
[3,1,2] => [[.,[.,.]],.] => [2,1,3] => ([(0,2),(1,2)],3) => 2
[3,2,1] => [[[.,.],.],.] => [1,2,3] => ([(0,2),(2,1)],3) => 1
[1,2,3,4] => [.,[.,[.,[.,.]]]] => [4,3,2,1] => ([],4) => 24
[1,2,4,3] => [.,[.,[[.,.],.]]] => [3,4,2,1] => ([(2,3)],4) => 12
[1,3,2,4] => [.,[[.,.],[.,.]]] => [2,4,3,1] => ([(1,2),(1,3)],4) => 8
[1,3,4,2] => [.,[[.,.],[.,.]]] => [2,4,3,1] => ([(1,2),(1,3)],4) => 8
[1,4,2,3] => [.,[[.,[.,.]],.]] => [3,2,4,1] => ([(1,3),(2,3)],4) => 8
[1,4,3,2] => [.,[[[.,.],.],.]] => [2,3,4,1] => ([(1,2),(2,3)],4) => 4
[2,1,3,4] => [[.,.],[.,[.,.]]] => [1,4,3,2] => ([(0,1),(0,2),(0,3)],4) => 6
[2,1,4,3] => [[.,.],[[.,.],.]] => [1,3,4,2] => ([(0,2),(0,3),(3,1)],4) => 3
[2,3,1,4] => [[.,.],[.,[.,.]]] => [1,4,3,2] => ([(0,1),(0,2),(0,3)],4) => 6
[2,3,4,1] => [[.,.],[.,[.,.]]] => [1,4,3,2] => ([(0,1),(0,2),(0,3)],4) => 6
[2,4,1,3] => [[.,.],[[.,.],.]] => [1,3,4,2] => ([(0,2),(0,3),(3,1)],4) => 3
[2,4,3,1] => [[.,.],[[.,.],.]] => [1,3,4,2] => ([(0,2),(0,3),(3,1)],4) => 3
[3,1,2,4] => [[.,[.,.]],[.,.]] => [2,1,4,3] => ([(0,2),(0,3),(1,2),(1,3)],4) => 4
[3,1,4,2] => [[.,[.,.]],[.,.]] => [2,1,4,3] => ([(0,2),(0,3),(1,2),(1,3)],4) => 4
[3,2,1,4] => [[[.,.],.],[.,.]] => [1,2,4,3] => ([(0,3),(3,1),(3,2)],4) => 2
[3,2,4,1] => [[[.,.],.],[.,.]] => [1,2,4,3] => ([(0,3),(3,1),(3,2)],4) => 2
[3,4,1,2] => [[.,[.,.]],[.,.]] => [2,1,4,3] => ([(0,2),(0,3),(1,2),(1,3)],4) => 4
[3,4,2,1] => [[[.,.],.],[.,.]] => [1,2,4,3] => ([(0,3),(3,1),(3,2)],4) => 2
[4,1,2,3] => [[.,[.,[.,.]]],.] => [3,2,1,4] => ([(0,3),(1,3),(2,3)],4) => 6
[4,1,3,2] => [[.,[[.,.],.]],.] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4) => 3
[4,2,1,3] => [[[.,.],[.,.]],.] => [1,3,2,4] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[4,2,3,1] => [[[.,.],[.,.]],.] => [1,3,2,4] => ([(0,1),(0,2),(1,3),(2,3)],4) => 2
[4,3,1,2] => [[[.,[.,.]],.],.] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4) => 2
[4,3,2,1] => [[[[.,.],.],.],.] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4) => 1
[1,2,3,4,5] => [.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => ([],5) => 120
[1,2,3,5,4] => [.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => ([(3,4)],5) => 60
[1,2,4,3,5] => [.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => ([(2,3),(2,4)],5) => 40
[1,2,4,5,3] => [.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => ([(2,3),(2,4)],5) => 40
[1,2,5,3,4] => [.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => ([(2,4),(3,4)],5) => 40
[1,2,5,4,3] => [.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => ([(2,3),(3,4)],5) => 20
[1,3,2,4,5] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => ([(1,2),(1,3),(1,4)],5) => 30
[1,3,2,5,4] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => ([(1,3),(1,4),(4,2)],5) => 15
[1,3,4,2,5] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => ([(1,2),(1,3),(1,4)],5) => 30
[1,3,4,5,2] => [.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => ([(1,2),(1,3),(1,4)],5) => 30
[1,3,5,2,4] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => ([(1,3),(1,4),(4,2)],5) => 15
[1,3,5,4,2] => [.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => ([(1,3),(1,4),(4,2)],5) => 15
[1,4,2,3,5] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => ([(1,3),(1,4),(2,3),(2,4)],5) => 20
[1,4,2,5,3] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => ([(1,3),(1,4),(2,3),(2,4)],5) => 20
[1,4,3,2,5] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => ([(1,4),(4,2),(4,3)],5) => 10
[1,4,3,5,2] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => ([(1,4),(4,2),(4,3)],5) => 10
[1,4,5,2,3] => [.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => ([(1,3),(1,4),(2,3),(2,4)],5) => 20
[1,4,5,3,2] => [.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => ([(1,4),(4,2),(4,3)],5) => 10
[1,5,2,3,4] => [.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => ([(1,4),(2,4),(3,4)],5) => 30
[1,5,2,4,3] => [.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => ([(1,4),(2,3),(3,4)],5) => 15
[1,5,3,2,4] => [.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => ([(1,2),(1,3),(2,4),(3,4)],5) => 10
[1,5,3,4,2] => [.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => ([(1,2),(1,3),(2,4),(3,4)],5) => 10
[1,5,4,2,3] => [.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => ([(1,4),(2,4),(4,3)],5) => 10
[1,5,4,3,2] => [.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => ([(1,4),(3,2),(4,3)],5) => 5
[2,1,3,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => 24
[2,1,3,5,4] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => 12
[2,1,4,3,5] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => ([(0,3),(0,4),(4,1),(4,2)],5) => 8
[2,1,4,5,3] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => ([(0,3),(0,4),(4,1),(4,2)],5) => 8
[2,1,5,3,4] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 8
[2,1,5,4,3] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => ([(0,2),(0,4),(3,1),(4,3)],5) => 4
[2,3,1,4,5] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => 24
[2,3,1,5,4] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => 12
[2,3,4,1,5] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => 24
[2,3,4,5,1] => [[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4)],5) => 24
[2,3,5,1,4] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => 12
[2,3,5,4,1] => [[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => ([(0,2),(0,3),(0,4),(4,1)],5) => 12
[2,4,1,3,5] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => ([(0,3),(0,4),(4,1),(4,2)],5) => 8
[2,4,1,5,3] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => ([(0,3),(0,4),(4,1),(4,2)],5) => 8
[2,4,3,1,5] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => ([(0,3),(0,4),(4,1),(4,2)],5) => 8
[2,4,3,5,1] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => ([(0,3),(0,4),(4,1),(4,2)],5) => 8
[2,4,5,1,3] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => ([(0,3),(0,4),(4,1),(4,2)],5) => 8
[2,4,5,3,1] => [[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => ([(0,3),(0,4),(4,1),(4,2)],5) => 8
[2,5,1,3,4] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 8
[2,5,1,4,3] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => ([(0,2),(0,4),(3,1),(4,3)],5) => 4
[2,5,3,1,4] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 8
[2,5,3,4,1] => [[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => ([(0,1),(0,2),(0,3),(2,4),(3,4)],5) => 8
[2,5,4,1,3] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => ([(0,2),(0,4),(3,1),(4,3)],5) => 4
[2,5,4,3,1] => [[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => ([(0,2),(0,4),(3,1),(4,3)],5) => 4
[3,1,2,4,5] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 12
[3,1,2,5,4] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 6
[3,1,4,2,5] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 12
[3,1,4,5,2] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 12
[3,1,5,2,4] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 6
[3,1,5,4,2] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 6
[3,2,1,4,5] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => ([(0,4),(4,1),(4,2),(4,3)],5) => 6
[3,2,1,5,4] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5) => 3
[3,2,4,1,5] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => ([(0,4),(4,1),(4,2),(4,3)],5) => 6
[3,2,4,5,1] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => ([(0,4),(4,1),(4,2),(4,3)],5) => 6
[3,2,5,1,4] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5) => 3
[3,2,5,4,1] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5) => 3
[3,4,1,2,5] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 12
[3,4,1,5,2] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 12
[3,4,2,1,5] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => ([(0,4),(4,1),(4,2),(4,3)],5) => 6
[3,4,2,5,1] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => ([(0,4),(4,1),(4,2),(4,3)],5) => 6
[3,4,5,1,2] => [[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4)],5) => 12
[3,4,5,2,1] => [[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => ([(0,4),(4,1),(4,2),(4,3)],5) => 6
[3,5,1,2,4] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 6
[3,5,1,4,2] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 6
[3,5,2,1,4] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5) => 3
>>> Load all 1947 entries. <<<[3,5,2,4,1] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5) => 3
[3,5,4,1,2] => [[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => ([(0,3),(0,4),(1,3),(1,4),(4,2)],5) => 6
[3,5,4,2,1] => [[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => ([(0,4),(3,2),(4,1),(4,3)],5) => 3
[4,1,2,3,5] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 12
[4,1,2,5,3] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 12
[4,1,3,2,5] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 6
[4,1,3,5,2] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 6
[4,1,5,2,3] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 12
[4,1,5,3,2] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 6
[4,2,1,3,5] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 4
[4,2,1,5,3] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 4
[4,2,3,1,5] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 4
[4,2,3,5,1] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 4
[4,2,5,1,3] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 4
[4,2,5,3,1] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 4
[4,3,1,2,5] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => ([(0,4),(1,4),(4,2),(4,3)],5) => 4
[4,3,1,5,2] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => ([(0,4),(1,4),(4,2),(4,3)],5) => 4
[4,3,2,1,5] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[4,3,2,5,1] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[4,3,5,1,2] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => ([(0,4),(1,4),(4,2),(4,3)],5) => 4
[4,3,5,2,1] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[4,5,1,2,3] => [[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => ([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) => 12
[4,5,1,3,2] => [[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => ([(0,3),(0,4),(1,2),(2,3),(2,4)],5) => 6
[4,5,2,1,3] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 4
[4,5,2,3,1] => [[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => ([(0,1),(0,2),(1,3),(1,4),(2,3),(2,4)],5) => 4
[4,5,3,1,2] => [[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => ([(0,4),(1,4),(4,2),(4,3)],5) => 4
[4,5,3,2,1] => [[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => ([(0,3),(3,4),(4,1),(4,2)],5) => 2
[5,1,2,3,4] => [[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5) => 24
[5,1,2,4,3] => [[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5) => 12
[5,1,3,2,4] => [[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 8
[5,1,3,4,2] => [[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5) => 8
[5,1,4,2,3] => [[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => ([(0,4),(1,3),(2,3),(3,4)],5) => 8
[5,1,4,3,2] => [[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5) => 4
[5,2,1,3,4] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 6
[5,2,1,4,3] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3
[5,2,3,1,4] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 6
[5,2,3,4,1] => [[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5) => 6
[5,2,4,1,3] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3
[5,2,4,3,1] => [[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => ([(0,2),(0,3),(1,4),(2,4),(3,1)],5) => 3
[5,3,1,2,4] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 4
[5,3,1,4,2] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 4
[5,3,2,1,4] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
[5,3,2,4,1] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
[5,3,4,1,2] => [[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => ([(0,3),(0,4),(1,3),(1,4),(3,2),(4,2)],5) => 4
[5,3,4,2,1] => [[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5) => 2
[5,4,1,2,3] => [[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => ([(0,4),(1,4),(2,4),(4,3)],5) => 6
[5,4,1,3,2] => [[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5) => 3
[5,4,2,1,3] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
[5,4,2,3,1] => [[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5) => 2
[5,4,3,1,2] => [[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5) => 2
[5,4,3,2,1] => [[[[[.,.],.],.],.],.] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5) => 1
[1,2,3,4,5,6] => [.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => ([],6) => 720
[1,2,3,4,6,5] => [.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => ([(4,5)],6) => 360
[1,2,3,5,4,6] => [.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => ([(3,4),(3,5)],6) => 240
[1,2,3,5,6,4] => [.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => ([(3,4),(3,5)],6) => 240
[1,2,3,6,4,5] => [.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => ([(3,5),(4,5)],6) => 240
[1,2,3,6,5,4] => [.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => ([(3,4),(4,5)],6) => 120
[1,2,4,3,5,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => ([(2,3),(2,4),(2,5)],6) => 180
[1,2,4,3,6,5] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => ([(2,3),(2,4),(4,5)],6) => 90
[1,2,4,5,3,6] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => ([(2,3),(2,4),(2,5)],6) => 180
[1,2,4,5,6,3] => [.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => ([(2,3),(2,4),(2,5)],6) => 180
[1,2,4,6,3,5] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => ([(2,3),(2,4),(4,5)],6) => 90
[1,2,4,6,5,3] => [.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => ([(2,3),(2,4),(4,5)],6) => 90
[1,2,5,3,4,6] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 120
[1,2,5,3,6,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 120
[1,2,5,4,3,6] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => ([(2,3),(3,4),(3,5)],6) => 60
[1,2,5,4,6,3] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => ([(2,3),(3,4),(3,5)],6) => 60
[1,2,5,6,3,4] => [.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => ([(2,4),(2,5),(3,4),(3,5)],6) => 120
[1,2,5,6,4,3] => [.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => ([(2,3),(3,4),(3,5)],6) => 60
[1,2,6,3,4,5] => [.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => ([(2,5),(3,5),(4,5)],6) => 180
[1,2,6,3,5,4] => [.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => ([(2,5),(3,4),(4,5)],6) => 90
[1,2,6,4,3,5] => [.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 60
[1,2,6,4,5,3] => [.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => ([(2,3),(2,4),(3,5),(4,5)],6) => 60
[1,2,6,5,3,4] => [.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => ([(2,5),(3,5),(5,4)],6) => 60
[1,2,6,5,4,3] => [.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => ([(2,3),(3,5),(5,4)],6) => 30
[1,3,2,4,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => ([(1,2),(1,3),(1,4),(1,5)],6) => 144
[1,3,2,4,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => ([(1,3),(1,4),(1,5),(5,2)],6) => 72
[1,3,2,5,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => ([(1,4),(1,5),(5,2),(5,3)],6) => 48
[1,3,2,5,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => ([(1,4),(1,5),(5,2),(5,3)],6) => 48
[1,3,2,6,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 48
[1,3,2,6,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => ([(1,3),(1,5),(4,2),(5,4)],6) => 24
[1,3,4,2,5,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => ([(1,2),(1,3),(1,4),(1,5)],6) => 144
[1,3,4,2,6,5] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => ([(1,3),(1,4),(1,5),(5,2)],6) => 72
[1,3,4,5,2,6] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => ([(1,2),(1,3),(1,4),(1,5)],6) => 144
[1,3,4,5,6,2] => [.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => ([(1,2),(1,3),(1,4),(1,5)],6) => 144
[1,3,4,6,2,5] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => ([(1,3),(1,4),(1,5),(5,2)],6) => 72
[1,3,4,6,5,2] => [.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => ([(1,3),(1,4),(1,5),(5,2)],6) => 72
[1,3,5,2,4,6] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => ([(1,4),(1,5),(5,2),(5,3)],6) => 48
[1,3,5,2,6,4] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => ([(1,4),(1,5),(5,2),(5,3)],6) => 48
[1,3,5,4,2,6] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => ([(1,4),(1,5),(5,2),(5,3)],6) => 48
[1,3,5,4,6,2] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => ([(1,4),(1,5),(5,2),(5,3)],6) => 48
[1,3,5,6,2,4] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => ([(1,4),(1,5),(5,2),(5,3)],6) => 48
[1,3,5,6,4,2] => [.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => ([(1,4),(1,5),(5,2),(5,3)],6) => 48
[1,3,6,2,4,5] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 48
[1,3,6,2,5,4] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => ([(1,3),(1,5),(4,2),(5,4)],6) => 24
[1,3,6,4,2,5] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 48
[1,3,6,4,5,2] => [.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => ([(1,2),(1,3),(1,4),(3,5),(4,5)],6) => 48
[1,3,6,5,2,4] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => ([(1,3),(1,5),(4,2),(5,4)],6) => 24
[1,3,6,5,4,2] => [.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => ([(1,3),(1,5),(4,2),(5,4)],6) => 24
[1,4,2,3,5,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 72
[1,4,2,3,6,5] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 36
[1,4,2,5,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 72
[1,4,2,5,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 72
[1,4,2,6,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 36
[1,4,2,6,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 36
[1,4,3,2,5,6] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => ([(1,5),(5,2),(5,3),(5,4)],6) => 36
[1,4,3,2,6,5] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => ([(1,5),(4,3),(5,2),(5,4)],6) => 18
[1,4,3,5,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => ([(1,5),(5,2),(5,3),(5,4)],6) => 36
[1,4,3,5,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => ([(1,5),(5,2),(5,3),(5,4)],6) => 36
[1,4,3,6,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => ([(1,5),(4,3),(5,2),(5,4)],6) => 18
[1,4,3,6,5,2] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => ([(1,5),(4,3),(5,2),(5,4)],6) => 18
[1,4,5,2,3,6] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 72
[1,4,5,2,6,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 72
[1,4,5,3,2,6] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => ([(1,5),(5,2),(5,3),(5,4)],6) => 36
[1,4,5,3,6,2] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => ([(1,5),(5,2),(5,3),(5,4)],6) => 36
[1,4,5,6,2,3] => [.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => ([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 72
[1,4,5,6,3,2] => [.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => ([(1,5),(5,2),(5,3),(5,4)],6) => 36
[1,4,6,2,3,5] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 36
[1,4,6,2,5,3] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 36
[1,4,6,3,2,5] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => ([(1,5),(4,3),(5,2),(5,4)],6) => 18
[1,4,6,3,5,2] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => ([(1,5),(4,3),(5,2),(5,4)],6) => 18
[1,4,6,5,2,3] => [.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => ([(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 36
[1,4,6,5,3,2] => [.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => ([(1,5),(4,3),(5,2),(5,4)],6) => 18
[1,5,2,3,4,6] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 72
[1,5,2,3,6,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 72
[1,5,2,4,3,6] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 36
[1,5,2,4,6,3] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 36
[1,5,2,6,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 72
[1,5,2,6,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 36
[1,5,3,2,4,6] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 24
[1,5,3,2,6,4] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 24
[1,5,3,4,2,6] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 24
[1,5,3,4,6,2] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 24
[1,5,3,6,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 24
[1,5,3,6,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 24
[1,5,4,2,3,6] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => ([(1,5),(2,5),(5,3),(5,4)],6) => 24
[1,5,4,2,6,3] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => ([(1,5),(2,5),(5,3),(5,4)],6) => 24
[1,5,4,3,2,6] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => ([(1,4),(4,5),(5,2),(5,3)],6) => 12
[1,5,4,3,6,2] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => ([(1,4),(4,5),(5,2),(5,3)],6) => 12
[1,5,4,6,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => ([(1,5),(2,5),(5,3),(5,4)],6) => 24
[1,5,4,6,3,2] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => ([(1,4),(4,5),(5,2),(5,3)],6) => 12
[1,5,6,2,3,4] => [.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => ([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 72
[1,5,6,2,4,3] => [.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => ([(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 36
[1,5,6,3,2,4] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 24
[1,5,6,3,4,2] => [.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => ([(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 24
[1,5,6,4,2,3] => [.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => ([(1,5),(2,5),(5,3),(5,4)],6) => 24
[1,5,6,4,3,2] => [.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => ([(1,4),(4,5),(5,2),(5,3)],6) => 12
[1,6,2,3,4,5] => [.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => ([(1,5),(2,5),(3,5),(4,5)],6) => 144
[1,6,2,3,5,4] => [.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6) => 72
[1,6,2,4,3,5] => [.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 48
[1,6,2,4,5,3] => [.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => ([(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 48
[1,6,2,5,3,4] => [.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6) => 48
[1,6,2,5,4,3] => [.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6) => 24
[1,6,3,2,4,5] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 36
[1,6,3,2,5,4] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 18
[1,6,3,4,2,5] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 36
[1,6,3,4,5,2] => [.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 36
[1,6,3,5,2,4] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 18
[1,6,3,5,4,2] => [.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => ([(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 18
[1,6,4,2,3,5] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 24
[1,6,4,2,5,3] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 24
[1,6,4,3,2,5] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 12
[1,6,4,3,5,2] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 12
[1,6,4,5,2,3] => [.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => ([(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 24
[1,6,4,5,3,2] => [.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => ([(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 12
[1,6,5,2,3,4] => [.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => ([(1,5),(2,5),(3,5),(5,4)],6) => 36
[1,6,5,2,4,3] => [.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6) => 18
[1,6,5,3,2,4] => [.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 12
[1,6,5,3,4,2] => [.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => ([(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 12
[1,6,5,4,2,3] => [.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => ([(1,5),(2,5),(3,4),(5,3)],6) => 12
[1,6,5,4,3,2] => [.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => ([(1,5),(3,4),(4,2),(5,3)],6) => 6
[2,1,3,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 120
[2,1,3,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 60
[2,1,3,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 40
[2,1,3,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 40
[2,1,3,6,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 40
[2,1,3,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 20
[2,1,4,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,1,4,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,1,4,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,1,4,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,1,4,6,3,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,1,4,6,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,1,5,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,1,5,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,1,5,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,1,5,4,6,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,1,5,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,1,5,6,4,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,1,6,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 30
[2,1,6,3,5,4] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 15
[2,1,6,4,3,5] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 10
[2,1,6,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 10
[2,1,6,5,3,4] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 10
[2,1,6,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 5
[2,3,1,4,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 120
[2,3,1,4,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 60
[2,3,1,5,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 40
[2,3,1,5,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 40
[2,3,1,6,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 40
[2,3,1,6,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 20
[2,3,4,1,5,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 120
[2,3,4,1,6,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 60
[2,3,4,5,1,6] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 120
[2,3,4,5,6,1] => [[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5)],6) => 120
[2,3,4,6,1,5] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 60
[2,3,4,6,5,1] => [[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(5,1)],6) => 60
[2,3,5,1,4,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 40
[2,3,5,1,6,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 40
[2,3,5,4,1,6] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 40
[2,3,5,4,6,1] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 40
[2,3,5,6,1,4] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 40
[2,3,5,6,4,1] => [[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => ([(0,3),(0,4),(0,5),(5,1),(5,2)],6) => 40
[2,3,6,1,4,5] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 40
[2,3,6,1,5,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 20
[2,3,6,4,1,5] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 40
[2,3,6,4,5,1] => [[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(3,5),(4,5)],6) => 40
[2,3,6,5,1,4] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 20
[2,3,6,5,4,1] => [[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => ([(0,2),(0,3),(0,5),(4,1),(5,4)],6) => 20
[2,4,1,3,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,4,1,3,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,4,1,5,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,4,1,5,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,4,1,6,3,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,4,1,6,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,4,3,1,5,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,4,3,1,6,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,4,3,5,1,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,4,3,5,6,1] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,4,3,6,1,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,4,3,6,5,1] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,4,5,1,3,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,4,5,1,6,3] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,4,5,3,1,6] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,4,5,3,6,1] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,4,5,6,1,3] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,4,5,6,3,1] => [[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => ([(0,4),(0,5),(5,1),(5,2),(5,3)],6) => 30
[2,4,6,1,3,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,4,6,1,5,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,4,6,3,1,5] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,4,6,3,5,1] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,4,6,5,1,3] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,4,6,5,3,1] => [[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => ([(0,3),(0,5),(4,2),(5,1),(5,4)],6) => 15
[2,5,1,3,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,5,1,3,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,5,1,4,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,5,1,4,6,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,5,1,6,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,5,1,6,4,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,5,3,1,4,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,5,3,1,6,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,5,3,4,1,6] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,5,3,4,6,1] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,5,3,6,1,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,5,3,6,4,1] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,5,4,1,3,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,5,4,1,6,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,5,4,3,1,6] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,5,4,3,6,1] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,5,4,6,1,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,5,4,6,3,1] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,5,6,1,3,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,5,6,1,4,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,5,6,3,1,4] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,5,6,3,4,1] => [[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(3,4),(3,5)],6) => 20
[2,5,6,4,1,3] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,5,6,4,3,1] => [[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => ([(0,3),(0,4),(4,5),(5,1),(5,2)],6) => 10
[2,6,1,3,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 30
[2,6,1,3,5,4] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 15
[2,6,1,4,3,5] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 10
[2,6,1,4,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 10
[2,6,1,5,3,4] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 10
[2,6,1,5,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 5
[2,6,3,1,4,5] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 30
[2,6,3,1,5,4] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 15
[2,6,3,4,1,5] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 30
[2,6,3,4,5,1] => [[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(2,5),(3,5),(4,5)],6) => 30
[2,6,3,5,1,4] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 15
[2,6,3,5,4,1] => [[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => ([(0,2),(0,3),(0,4),(1,5),(3,5),(4,1)],6) => 15
[2,6,4,1,3,5] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 10
[2,6,4,1,5,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 10
[2,6,4,3,1,5] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 10
[2,6,4,3,5,1] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 10
[2,6,4,5,1,3] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 10
[2,6,4,5,3,1] => [[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => ([(0,3),(0,4),(1,5),(2,5),(4,1),(4,2)],6) => 10
[2,6,5,1,3,4] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 10
[2,6,5,1,4,3] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 5
[2,6,5,3,1,4] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 10
[2,6,5,3,4,1] => [[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => ([(0,2),(0,3),(0,4),(3,5),(4,5),(5,1)],6) => 10
[2,6,5,4,1,3] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 5
[2,6,5,4,3,1] => [[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => ([(0,2),(0,5),(3,4),(4,1),(5,3)],6) => 5
[3,1,2,4,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 48
[3,1,2,4,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 24
[3,1,2,5,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,1,2,5,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,1,2,6,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 16
[3,1,2,6,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 8
[3,1,4,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 48
[3,1,4,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 24
[3,1,4,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 48
[3,1,4,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 48
[3,1,4,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 24
[3,1,4,6,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 24
[3,1,5,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,1,5,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,1,5,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,1,5,4,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,1,5,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,1,5,6,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,1,6,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 16
[3,1,6,2,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 8
[3,1,6,4,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 16
[3,1,6,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 16
[3,1,6,5,2,4] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 8
[3,1,6,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 8
[3,2,1,4,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 24
[3,2,1,4,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 12
[3,2,1,5,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,2,1,5,6,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,2,1,6,4,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 8
[3,2,1,6,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 4
[3,2,4,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 24
[3,2,4,1,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 12
[3,2,4,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 24
[3,2,4,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 24
[3,2,4,6,1,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 12
[3,2,4,6,5,1] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 12
[3,2,5,1,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,2,5,1,6,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,2,5,4,1,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,2,5,4,6,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,2,5,6,1,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,2,5,6,4,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,2,6,1,4,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 8
[3,2,6,1,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 4
[3,2,6,4,1,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 8
[3,2,6,4,5,1] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 8
[3,2,6,5,1,4] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 4
[3,2,6,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 4
[3,4,1,2,5,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 48
[3,4,1,2,6,5] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 24
[3,4,1,5,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 48
[3,4,1,5,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 48
[3,4,1,6,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 24
[3,4,1,6,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 24
[3,4,2,1,5,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 24
[3,4,2,1,6,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 12
[3,4,2,5,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 24
[3,4,2,5,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 24
[3,4,2,6,1,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 12
[3,4,2,6,5,1] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 12
[3,4,5,1,2,6] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 48
[3,4,5,1,6,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 48
[3,4,5,2,1,6] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 24
[3,4,5,2,6,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 24
[3,4,5,6,1,2] => [[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5)],6) => 48
[3,4,5,6,2,1] => [[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => ([(0,5),(5,1),(5,2),(5,3),(5,4)],6) => 24
[3,4,6,1,2,5] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 24
[3,4,6,1,5,2] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 24
[3,4,6,2,1,5] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 12
[3,4,6,2,5,1] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 12
[3,4,6,5,1,2] => [[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(5,2)],6) => 24
[3,4,6,5,2,1] => [[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => ([(0,5),(4,3),(5,1),(5,2),(5,4)],6) => 12
[3,5,1,2,4,6] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,5,1,2,6,4] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,5,1,4,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,5,1,4,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,5,1,6,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,5,1,6,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,5,2,1,4,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,5,2,1,6,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,5,2,4,1,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,5,2,4,6,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,5,2,6,1,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,5,2,6,4,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,5,4,1,2,6] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,5,4,1,6,2] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,5,4,2,1,6] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,5,4,2,6,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,5,4,6,1,2] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,5,4,6,2,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,5,6,1,2,4] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,5,6,1,4,2] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,5,6,2,1,4] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,5,6,2,4,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,5,6,4,1,2] => [[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => ([(0,4),(0,5),(1,4),(1,5),(5,2),(5,3)],6) => 16
[3,5,6,4,2,1] => [[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => ([(0,5),(4,2),(4,3),(5,1),(5,4)],6) => 8
[3,6,1,2,4,5] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 16
[3,6,1,2,5,4] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 8
[3,6,1,4,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 16
[3,6,1,4,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 16
[3,6,1,5,2,4] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 8
[3,6,1,5,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 8
[3,6,2,1,4,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 8
[3,6,2,1,5,4] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 4
[3,6,2,4,1,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 8
[3,6,2,4,5,1] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 8
[3,6,2,5,1,4] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 4
[3,6,2,5,4,1] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 4
[3,6,4,1,2,5] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 16
[3,6,4,1,5,2] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 16
[3,6,4,2,1,5] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 8
[3,6,4,2,5,1] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 8
[3,6,4,5,1,2] => [[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(4,2),(5,2)],6) => 16
[3,6,4,5,2,1] => [[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => ([(0,4),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 8
[3,6,5,1,2,4] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 8
[3,6,5,1,4,2] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 8
[3,6,5,2,1,4] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 4
[3,6,5,2,4,1] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 4
[3,6,5,4,1,2] => [[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(5,2)],6) => 8
[3,6,5,4,2,1] => [[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => ([(0,5),(3,4),(4,2),(5,1),(5,3)],6) => 4
[4,1,2,3,5,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36
[4,1,2,3,6,5] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18
[4,1,2,5,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36
[4,1,2,5,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36
[4,1,2,6,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18
[4,1,2,6,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18
[4,1,3,2,5,6] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18
[4,1,3,2,6,5] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 9
[4,1,3,5,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18
[4,1,3,5,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18
[4,1,3,6,2,5] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 9
[4,1,3,6,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 9
[4,1,5,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36
[4,1,5,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36
[4,1,5,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18
[4,1,5,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18
[4,1,5,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36
[4,1,5,6,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18
[4,1,6,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18
[4,1,6,2,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18
[4,1,6,3,2,5] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 9
[4,1,6,3,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 9
[4,1,6,5,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18
[4,1,6,5,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 9
[4,2,1,3,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,2,1,3,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,2,1,5,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,2,1,5,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,2,1,6,3,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,2,1,6,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,2,3,1,5,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,2,3,1,6,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,2,3,5,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,2,3,5,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,2,3,6,1,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,2,3,6,5,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,2,5,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,2,5,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,2,5,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,2,5,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,2,5,6,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,2,5,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,2,6,1,3,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,2,6,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,2,6,3,1,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,2,6,3,5,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,2,6,5,1,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,2,6,5,3,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,3,1,2,5,6] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 12
[4,3,1,2,6,5] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6
[4,3,1,5,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 12
[4,3,1,5,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 12
[4,3,1,6,2,5] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6
[4,3,1,6,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6
[4,3,2,1,5,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 6
[4,3,2,1,6,5] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 3
[4,3,2,5,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 6
[4,3,2,5,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 6
[4,3,2,6,1,5] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 3
[4,3,2,6,5,1] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 3
[4,3,5,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 12
[4,3,5,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 12
[4,3,5,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 6
[4,3,5,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 6
[4,3,5,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 12
[4,3,5,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 6
[4,3,6,1,2,5] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6
[4,3,6,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6
[4,3,6,2,1,5] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 3
[4,3,6,2,5,1] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 3
[4,3,6,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6
[4,3,6,5,2,1] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 3
[4,5,1,2,3,6] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36
[4,5,1,2,6,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36
[4,5,1,3,2,6] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18
[4,5,1,3,6,2] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18
[4,5,1,6,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36
[4,5,1,6,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18
[4,5,2,1,3,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,5,2,1,6,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,5,2,3,1,6] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,5,2,3,6,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,5,2,6,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,5,2,6,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,5,3,1,2,6] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 12
[4,5,3,1,6,2] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 12
[4,5,3,2,1,6] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 6
[4,5,3,2,6,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 6
[4,5,3,6,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 12
[4,5,3,6,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 6
[4,5,6,1,2,3] => [[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 36
[4,5,6,1,3,2] => [[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => ([(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 18
[4,5,6,2,1,3] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,5,6,2,3,1] => [[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => ([(0,1),(0,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) => 12
[4,5,6,3,1,2] => [[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => ([(0,5),(1,5),(5,2),(5,3),(5,4)],6) => 12
[4,5,6,3,2,1] => [[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => ([(0,4),(4,5),(5,1),(5,2),(5,3)],6) => 6
[4,6,1,2,3,5] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18
[4,6,1,2,5,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18
[4,6,1,3,2,5] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 9
[4,6,1,3,5,2] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 9
[4,6,1,5,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18
[4,6,1,5,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 9
[4,6,2,1,3,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,6,2,1,5,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,6,2,3,1,5] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,6,2,3,5,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,6,2,5,1,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,6,2,5,3,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,6,3,1,2,5] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6
[4,6,3,1,5,2] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6
[4,6,3,2,1,5] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 3
[4,6,3,2,5,1] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 3
[4,6,3,5,1,2] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6
[4,6,3,5,2,1] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 3
[4,6,5,1,2,3] => [[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6) => 18
[4,6,5,1,3,2] => [[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => ([(0,4),(0,5),(1,3),(3,4),(3,5),(5,2)],6) => 9
[4,6,5,2,1,3] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,6,5,2,3,1] => [[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => ([(0,2),(0,3),(2,4),(2,5),(3,4),(3,5),(5,1)],6) => 6
[4,6,5,3,1,2] => [[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => ([(0,5),(1,5),(4,2),(5,3),(5,4)],6) => 6
[4,6,5,3,2,1] => [[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => ([(0,4),(3,2),(4,5),(5,1),(5,3)],6) => 3
[5,1,2,3,4,6] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 48
[5,1,2,3,6,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 48
[5,1,2,4,3,6] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 24
[5,1,2,4,6,3] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 24
[5,1,2,6,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 48
[5,1,2,6,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 24
[5,1,3,2,4,6] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,1,3,2,6,4] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,1,3,4,2,6] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,1,3,4,6,2] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,1,3,6,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,1,3,6,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,1,4,2,3,6] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,1,4,2,6,3] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,1,4,3,2,6] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 8
[5,1,4,3,6,2] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 8
[5,1,4,6,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,1,4,6,3,2] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 8
[5,1,6,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 48
[5,1,6,2,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 24
[5,1,6,3,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,1,6,3,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,1,6,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,1,6,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 8
[5,2,1,3,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,2,1,3,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,2,1,4,3,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,2,1,4,6,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,2,1,6,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,2,1,6,4,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,2,3,1,4,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,2,3,1,6,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,2,3,4,1,6] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,2,3,4,6,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,2,3,6,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,2,3,6,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,2,4,1,3,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,2,4,1,6,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,2,4,3,1,6] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,2,4,3,6,1] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,2,4,6,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,2,4,6,3,1] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,2,6,1,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,2,6,1,4,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,2,6,3,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,2,6,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,2,6,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,2,6,4,3,1] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,3,1,2,4,6] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,3,1,2,6,4] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,3,1,4,2,6] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,3,1,4,6,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,3,1,6,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,3,1,6,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,3,2,1,4,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,3,2,1,6,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,3,2,4,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,3,2,4,6,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,3,2,6,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,3,2,6,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,3,4,1,2,6] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,3,4,1,6,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,3,4,2,1,6] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,3,4,2,6,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,3,4,6,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,3,4,6,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,3,6,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,3,6,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,3,6,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,3,6,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,3,6,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,3,6,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,4,1,2,3,6] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 12
[5,4,1,2,6,3] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 12
[5,4,1,3,2,6] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 6
[5,4,1,3,6,2] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 6
[5,4,1,6,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 12
[5,4,1,6,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 6
[5,4,2,1,3,6] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 4
[5,4,2,1,6,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 4
[5,4,2,3,1,6] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 4
[5,4,2,3,6,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 4
[5,4,2,6,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 4
[5,4,2,6,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 4
[5,4,3,1,2,6] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 4
[5,4,3,1,6,2] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 4
[5,4,3,2,1,6] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[5,4,3,2,6,1] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[5,4,3,6,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 4
[5,4,3,6,2,1] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[5,4,6,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 12
[5,4,6,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 6
[5,4,6,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 4
[5,4,6,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 4
[5,4,6,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 4
[5,4,6,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[5,6,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 48
[5,6,1,2,4,3] => [[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6) => 24
[5,6,1,3,2,4] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,6,1,3,4,2] => [[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => ([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,6,1,4,2,3] => [[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => ([(0,3),(1,3),(2,4),(2,5),(3,4),(3,5)],6) => 16
[5,6,1,4,3,2] => [[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => ([(0,4),(0,5),(1,2),(2,3),(3,4),(3,5)],6) => 8
[5,6,2,1,3,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,6,2,1,4,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,6,2,3,1,4] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,6,2,3,4,1] => [[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => ([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) => 12
[5,6,2,4,1,3] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,6,2,4,3,1] => [[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => ([(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,1)],6) => 6
[5,6,3,1,2,4] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,6,3,1,4,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,6,3,2,1,4] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,6,3,2,4,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,6,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => ([(0,4),(0,5),(1,4),(1,5),(4,2),(4,3),(5,2),(5,3)],6) => 8
[5,6,3,4,2,1] => [[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => ([(0,3),(1,4),(1,5),(2,4),(2,5),(3,1),(3,2)],6) => 4
[5,6,4,1,2,3] => [[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => ([(0,5),(1,5),(2,5),(5,3),(5,4)],6) => 12
[5,6,4,1,3,2] => [[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => ([(0,5),(1,2),(2,5),(5,3),(5,4)],6) => 6
[5,6,4,2,1,3] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 4
[5,6,4,2,3,1] => [[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => ([(0,3),(0,4),(3,5),(4,5),(5,1),(5,2)],6) => 4
[5,6,4,3,1,2] => [[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => ([(0,5),(1,5),(4,2),(4,3),(5,4)],6) => 4
[5,6,4,3,2,1] => [[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => ([(0,4),(3,5),(4,3),(5,1),(5,2)],6) => 2
[6,1,2,3,4,5] => [[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6) => 120
[6,1,2,3,5,4] => [[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6) => 60
[6,1,2,4,3,5] => [[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 40
[6,1,2,4,5,3] => [[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => ([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) => 40
[6,1,2,5,3,4] => [[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6) => 40
[6,1,2,5,4,3] => [[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6) => 20
[6,1,3,2,4,5] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 30
[6,1,3,2,5,4] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 15
[6,1,3,4,2,5] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 30
[6,1,3,4,5,2] => [[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => ([(0,5),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 30
[6,1,3,5,2,4] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 15
[6,1,3,5,4,2] => [[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => ([(0,5),(1,3),(1,4),(2,5),(3,5),(4,2)],6) => 15
[6,1,4,2,3,5] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 20
[6,1,4,2,5,3] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 20
[6,1,4,3,2,5] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 10
[6,1,4,3,5,2] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 10
[6,1,4,5,2,3] => [[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => ([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) => 20
[6,1,4,5,3,2] => [[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => ([(0,5),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 10
[6,1,5,2,3,4] => [[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6) => 30
[6,1,5,2,4,3] => [[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6) => 15
[6,1,5,3,2,4] => [[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 10
[6,1,5,3,4,2] => [[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 10
[6,1,5,4,2,3] => [[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6) => 10
[6,1,5,4,3,2] => [[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6) => 5
[6,2,1,3,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 24
[6,2,1,3,5,4] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 12
[6,2,1,4,3,5] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 8
[6,2,1,4,5,3] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 8
[6,2,1,5,3,4] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 8
[6,2,1,5,4,3] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 4
[6,2,3,1,4,5] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 24
[6,2,3,1,5,4] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 12
[6,2,3,4,1,5] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 24
[6,2,3,4,5,1] => [[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6) => 24
[6,2,3,5,1,4] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 12
[6,2,3,5,4,1] => [[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6) => 12
[6,2,4,1,3,5] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 8
[6,2,4,1,5,3] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 8
[6,2,4,3,1,5] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 8
[6,2,4,3,5,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 8
[6,2,4,5,1,3] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 8
[6,2,4,5,3,1] => [[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6) => 8
[6,2,5,1,3,4] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 8
[6,2,5,1,4,3] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 4
[6,2,5,3,1,4] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 8
[6,2,5,3,4,1] => [[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6) => 8
[6,2,5,4,1,3] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 4
[6,2,5,4,3,1] => [[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => ([(0,2),(0,4),(1,5),(2,5),(3,1),(4,3)],6) => 4
[6,3,1,2,4,5] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 12
[6,3,1,2,5,4] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 6
[6,3,1,4,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 12
[6,3,1,4,5,2] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 12
[6,3,1,5,2,4] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 6
[6,3,1,5,4,2] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 6
[6,3,2,1,4,5] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 6
[6,3,2,1,5,4] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 3
[6,3,2,4,1,5] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 6
[6,3,2,4,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 6
[6,3,2,5,1,4] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 3
[6,3,2,5,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 3
[6,3,4,1,2,5] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 12
[6,3,4,1,5,2] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 12
[6,3,4,2,1,5] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 6
[6,3,4,2,5,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 6
[6,3,4,5,1,2] => [[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => ([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,5),(3,5),(4,5)],6) => 12
[6,3,4,5,2,1] => [[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6) => 6
[6,3,5,1,2,4] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 6
[6,3,5,1,4,2] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 6
[6,3,5,2,1,4] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 3
[6,3,5,2,4,1] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 3
[6,3,5,4,1,2] => [[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(4,2),(5,3)],6) => 6
[6,3,5,4,2,1] => [[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => ([(0,4),(1,5),(2,5),(3,2),(4,1),(4,3)],6) => 3
[6,4,1,2,3,5] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 12
[6,4,1,2,5,3] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 12
[6,4,1,3,2,5] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 6
[6,4,1,3,5,2] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 6
[6,4,1,5,2,3] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 12
[6,4,1,5,3,2] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 6
[6,4,2,1,3,5] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
[6,4,2,1,5,3] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
[6,4,2,3,1,5] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
[6,4,2,3,5,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
[6,4,2,5,1,3] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
[6,4,2,5,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
[6,4,3,1,2,5] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 4
[6,4,3,1,5,2] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 4
[6,4,3,2,1,5] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[6,4,3,2,5,1] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[6,4,3,5,1,2] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 4
[6,4,3,5,2,1] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[6,4,5,1,2,3] => [[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => ([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 12
[6,4,5,1,3,2] => [[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => ([(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 6
[6,4,5,2,1,3] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
[6,4,5,2,3,1] => [[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => ([(0,1),(0,2),(1,4),(1,5),(2,4),(2,5),(4,3),(5,3)],6) => 4
[6,4,5,3,1,2] => [[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => ([(0,4),(1,4),(2,5),(3,5),(4,2),(4,3)],6) => 4
[6,4,5,3,2,1] => [[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => ([(0,3),(1,5),(2,5),(3,4),(4,1),(4,2)],6) => 2
[6,5,1,2,3,4] => [[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6) => 24
[6,5,1,2,4,3] => [[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6) => 12
[6,5,1,3,2,4] => [[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 8
[6,5,1,3,4,2] => [[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => ([(0,5),(1,2),(1,3),(2,5),(3,5),(5,4)],6) => 8
[6,5,1,4,2,3] => [[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6) => 8
[6,5,1,4,3,2] => [[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6) => 4
[6,5,2,1,3,4] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 6
[6,5,2,1,4,3] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 3
[6,5,2,3,1,4] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 6
[6,5,2,3,4,1] => [[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6) => 6
[6,5,2,4,1,3] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 3
[6,5,2,4,3,1] => [[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => ([(0,3),(0,4),(1,5),(3,5),(4,1),(5,2)],6) => 3
[6,5,3,1,2,4] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 4
[6,5,3,1,4,2] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 4
[6,5,3,2,1,4] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[6,5,3,2,4,1] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[6,5,3,4,1,2] => [[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => ([(0,4),(0,5),(1,4),(1,5),(3,2),(4,3),(5,3)],6) => 4
[6,5,3,4,2,1] => [[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => ([(0,4),(1,5),(2,5),(4,1),(4,2),(5,3)],6) => 2
[6,5,4,1,2,3] => [[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6) => 6
[6,5,4,1,3,2] => [[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6) => 3
[6,5,4,2,1,3] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[6,5,4,2,3,1] => [[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => ([(0,2),(0,3),(2,5),(3,5),(4,1),(5,4)],6) => 2
[6,5,4,3,1,2] => [[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6) => 2
[6,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6) => 1
[2,1,3,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 720
[2,1,3,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 360
[2,1,3,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240
[2,1,3,4,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240
[2,1,3,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 120
[2,1,3,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,1,3,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,1,3,5,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,1,3,5,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,1,3,5,7,4,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,1,3,5,7,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,1,3,6,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,1,3,6,5,7,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,1,3,6,7,5,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,1,3,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 30
[2,1,4,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,1,4,3,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,1,4,3,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,1,4,3,6,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,1,4,3,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,1,4,5,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,1,4,5,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,1,4,5,6,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,1,4,5,6,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,1,4,5,7,3,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,1,4,5,7,6,3] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,1,4,6,3,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,1,4,6,3,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,1,4,6,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,1,4,6,5,7,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,1,4,6,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,1,4,6,7,5,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,1,4,7,3,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,1,4,7,6,3,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,1,4,7,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,1,5,4,3,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,1,5,4,3,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,1,5,4,6,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,1,5,4,6,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,1,5,4,7,3,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,1,5,4,7,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,1,5,6,4,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,1,5,6,4,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,1,5,6,7,4,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,1,5,7,4,3,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,1,5,7,4,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,1,5,7,6,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,1,6,5,4,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,1,6,5,4,7,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,1,6,5,7,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,1,6,7,5,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,1,7,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 6
[2,3,1,4,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 720
[2,3,1,4,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 360
[2,3,1,4,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240
[2,3,1,4,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240
[2,3,1,4,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 120
[2,3,1,5,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,1,5,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,1,5,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,1,5,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,1,5,7,4,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,1,5,7,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,1,6,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,1,6,5,7,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,1,6,7,5,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,1,7,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 30
[2,3,4,1,5,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 720
[2,3,4,1,5,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 360
[2,3,4,1,6,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240
[2,3,4,1,6,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240
[2,3,4,1,7,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 120
[2,3,4,5,1,6,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 720
[2,3,4,5,1,7,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 360
[2,3,4,5,6,1,7] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 720
[2,3,4,5,6,7,1] => [[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6)],7) => 720
[2,3,4,5,7,1,6] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 360
[2,3,4,5,7,6,1] => [[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(6,1)],7) => 360
[2,3,4,6,1,5,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240
[2,3,4,6,1,7,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240
[2,3,4,6,5,1,7] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240
[2,3,4,6,5,7,1] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240
[2,3,4,6,7,1,5] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240
[2,3,4,6,7,5,1] => [[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => ([(0,3),(0,4),(0,5),(0,6),(6,1),(6,2)],7) => 240
[2,3,4,7,1,6,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 120
[2,3,4,7,6,1,5] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 120
[2,3,4,7,6,5,1] => [[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => ([(0,2),(0,3),(0,4),(0,6),(5,1),(6,5)],7) => 120
[2,3,5,1,4,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,5,1,4,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,5,1,6,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,5,1,6,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,5,1,7,4,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,5,1,7,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,5,4,1,6,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,5,4,1,7,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,5,4,6,1,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,5,4,6,7,1] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,5,4,7,1,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,5,4,7,6,1] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,5,6,1,4,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,5,6,1,7,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,5,6,4,1,7] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,5,6,4,7,1] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,5,6,7,1,4] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,5,6,7,4,1] => [[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => ([(0,4),(0,5),(0,6),(6,1),(6,2),(6,3)],7) => 180
[2,3,5,7,1,4,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,5,7,1,6,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,5,7,4,1,6] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,5,7,4,6,1] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,5,7,6,1,4] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,5,7,6,4,1] => [[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => ([(0,3),(0,4),(0,6),(5,2),(6,1),(6,5)],7) => 90
[2,3,6,1,5,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,6,1,5,7,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,6,1,7,5,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,6,5,1,4,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,6,5,1,7,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,6,5,4,1,7] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,6,5,4,7,1] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,6,5,7,1,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,6,5,7,4,1] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,6,7,1,5,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,6,7,5,1,4] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,6,7,5,4,1] => [[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => ([(0,3),(0,4),(0,5),(5,6),(6,1),(6,2)],7) => 60
[2,3,7,1,6,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 30
[2,3,7,6,1,5,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 30
[2,3,7,6,5,1,4] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 30
[2,3,7,6,5,4,1] => [[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => ([(0,2),(0,3),(0,6),(4,5),(5,1),(6,4)],7) => 30
[2,4,1,3,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,1,3,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,1,3,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,1,3,6,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,1,3,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,1,5,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,1,5,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,1,5,6,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,1,5,6,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,1,5,7,3,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,1,5,7,6,3] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,1,6,3,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,1,6,3,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,1,6,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,1,6,5,7,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,1,6,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,1,6,7,5,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,1,7,3,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,1,7,6,3,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,1,7,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,3,1,5,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,3,1,5,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,3,1,6,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,3,1,6,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,3,1,7,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,3,5,1,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,3,5,1,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,3,5,6,1,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,3,5,6,7,1] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,3,5,7,1,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,3,5,7,6,1] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,3,6,1,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,3,6,1,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,3,6,5,1,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,3,6,5,7,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,3,6,7,1,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,3,6,7,5,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,3,7,1,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,3,7,6,1,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,3,7,6,5,1] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,5,1,3,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,5,1,3,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,5,1,6,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,5,1,6,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,5,1,7,3,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,5,1,7,6,3] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,5,3,1,6,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,5,3,1,7,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,5,3,6,1,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,5,3,6,7,1] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,5,3,7,1,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,5,3,7,6,1] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,5,6,1,3,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,5,6,1,7,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,5,6,3,1,7] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,5,6,3,7,1] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,5,6,7,1,3] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,5,6,7,3,1] => [[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => ([(0,5),(0,6),(6,1),(6,2),(6,3),(6,4)],7) => 144
[2,4,5,7,1,3,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,5,7,1,6,3] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,5,7,3,1,6] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,5,7,3,6,1] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,5,7,6,1,3] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,5,7,6,3,1] => [[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => ([(0,4),(0,6),(5,3),(6,1),(6,2),(6,5)],7) => 72
[2,4,6,1,3,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,1,3,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,1,5,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,1,5,7,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,1,7,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,1,7,5,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,3,1,5,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,3,1,7,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,3,5,1,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,3,5,7,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,3,7,1,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,3,7,5,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,5,1,3,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,5,1,7,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,5,3,1,7] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,5,3,7,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,5,7,1,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,5,7,3,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,7,1,3,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,7,1,5,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,7,3,1,5] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,7,3,5,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,7,5,1,3] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,6,7,5,3,1] => [[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => ([(0,4),(0,6),(5,2),(5,3),(6,1),(6,5)],7) => 48
[2,4,7,1,3,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,7,1,6,3,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,7,1,6,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,7,3,1,6,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,7,3,6,1,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,7,3,6,5,1] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,7,6,1,3,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,7,6,1,5,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,7,6,3,1,5] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,7,6,3,5,1] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,7,6,5,1,3] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,4,7,6,5,3,1] => [[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => ([(0,3),(0,6),(4,5),(5,2),(6,1),(6,4)],7) => 24
[2,5,1,4,3,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,1,4,3,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,1,4,6,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,1,4,6,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,1,4,7,3,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,1,4,7,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,1,6,4,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,1,6,4,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,1,6,7,4,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,1,7,4,3,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,1,7,4,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,1,7,6,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,4,1,3,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,4,1,3,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,4,1,6,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,4,1,6,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,4,1,7,3,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,4,1,7,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,4,3,1,6,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,4,3,1,7,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,4,3,6,1,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,4,3,6,7,1] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,4,3,7,1,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,4,3,7,6,1] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,4,6,1,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,4,6,1,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,4,6,3,1,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,4,6,3,7,1] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,4,6,7,1,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,4,6,7,3,1] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,4,7,1,3,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,4,7,1,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,4,7,3,1,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,4,7,3,6,1] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,4,7,6,1,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,4,7,6,3,1] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,6,1,4,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,6,1,4,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,6,1,7,4,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,6,4,1,3,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,6,4,1,7,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,6,4,3,1,7] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,6,4,3,7,1] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,6,4,7,1,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,6,4,7,3,1] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,6,7,1,4,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,6,7,4,1,3] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,6,7,4,3,1] => [[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => ([(0,4),(0,5),(5,6),(6,1),(6,2),(6,3)],7) => 36
[2,5,7,1,4,3,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,7,1,4,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,7,1,6,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,7,4,1,3,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,7,4,1,6,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,7,4,3,1,6] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,7,4,3,6,1] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,7,4,6,1,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,7,4,6,3,1] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,7,6,1,4,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,7,6,4,1,3] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,5,7,6,4,3,1] => [[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => ([(0,3),(0,5),(4,2),(5,6),(6,1),(6,4)],7) => 18
[2,6,1,5,4,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,1,5,4,7,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,1,5,7,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,1,7,5,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,5,1,4,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,5,1,4,7,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,5,1,7,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,5,4,1,3,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,5,4,1,7,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,5,4,3,1,7] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,5,4,3,7,1] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,5,4,7,1,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,5,4,7,3,1] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,5,7,1,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,5,7,4,1,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,5,7,4,3,1] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,7,1,5,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,7,5,1,4,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,7,5,4,1,3] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,6,7,5,4,3,1] => [[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => ([(0,3),(0,5),(4,6),(5,4),(6,1),(6,2)],7) => 12
[2,7,1,6,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 6
[2,7,6,1,5,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 6
[2,7,6,5,1,4,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 6
[2,7,6,5,4,1,3] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 6
[2,7,6,5,4,3,1] => [[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => ([(0,2),(0,6),(3,5),(4,3),(5,1),(6,4)],7) => 6
[3,2,1,4,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,2,1,4,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,2,1,4,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,2,1,4,6,7,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,2,1,4,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,2,1,5,4,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,1,5,4,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,1,5,6,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,1,5,6,7,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,1,5,7,4,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,1,5,7,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,1,6,5,4,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,1,6,5,7,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,1,6,7,5,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,1,7,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,2,4,1,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,2,4,1,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,2,4,1,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,2,4,1,6,7,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,2,4,1,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,2,4,5,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,2,4,5,1,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,2,4,5,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,2,4,5,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,2,4,5,7,1,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,2,4,5,7,6,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,2,4,6,1,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,2,4,6,1,7,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,2,4,6,5,1,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,2,4,6,5,7,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,2,4,6,7,1,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,2,4,6,7,5,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,2,4,7,1,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,2,4,7,6,1,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,2,4,7,6,5,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,2,5,1,4,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,5,1,4,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,5,1,6,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,5,1,6,7,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,5,1,7,4,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,5,1,7,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,5,4,1,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,5,4,1,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,5,4,6,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,5,4,6,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,5,4,7,1,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,5,4,7,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,5,6,1,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,5,6,1,7,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,5,6,4,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,5,6,4,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,5,6,7,1,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,5,6,7,4,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,2,5,7,1,4,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,5,7,1,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,5,7,4,1,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,5,7,4,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,5,7,6,1,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,5,7,6,4,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,2,6,1,5,4,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,6,1,5,7,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,6,1,7,5,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,6,5,1,4,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,6,5,1,7,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,6,5,4,1,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,6,5,4,7,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,6,5,7,1,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,6,5,7,4,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,6,7,1,5,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,6,7,5,1,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,6,7,5,4,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,2,7,1,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,2,7,6,1,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,2,7,6,5,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,2,7,6,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,4,2,1,5,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,4,2,1,5,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,4,2,1,6,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,2,1,6,7,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,2,1,7,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,4,2,5,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,4,2,5,1,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,4,2,5,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,4,2,5,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,4,2,5,7,1,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,4,2,5,7,6,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,4,2,6,1,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,2,6,1,7,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,2,6,5,1,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,2,6,5,7,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,2,6,7,1,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,2,6,7,5,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,2,7,1,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,4,2,7,6,1,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,4,2,7,6,5,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,4,5,2,1,6,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,4,5,2,1,7,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,4,5,2,6,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,4,5,2,6,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,4,5,2,7,1,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,4,5,2,7,6,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,4,5,6,2,1,7] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,4,5,6,2,7,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,4,5,6,7,2,1] => [[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => ([(0,6),(6,1),(6,2),(6,3),(6,4),(6,5)],7) => 120
[3,4,5,7,2,1,6] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,4,5,7,2,6,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,4,5,7,6,2,1] => [[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => ([(0,6),(5,4),(6,1),(6,2),(6,3),(6,5)],7) => 60
[3,4,6,2,1,5,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,6,2,1,7,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,6,2,5,1,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,6,2,5,7,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,6,2,7,1,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,6,2,7,5,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,6,5,2,1,7] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,6,5,2,7,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,6,5,7,2,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,6,7,2,1,5] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,6,7,2,5,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,6,7,5,2,1] => [[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => ([(0,6),(5,3),(5,4),(6,1),(6,2),(6,5)],7) => 40
[3,4,7,2,1,6,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,4,7,2,6,1,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,4,7,2,6,5,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,4,7,6,2,1,5] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,4,7,6,2,5,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,4,7,6,5,2,1] => [[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => ([(0,6),(4,5),(5,3),(6,1),(6,2),(6,4)],7) => 20
[3,5,2,1,4,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,2,1,4,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,2,1,6,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,2,1,6,7,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,2,1,7,4,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,2,1,7,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,2,4,1,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,2,4,1,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,2,4,6,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,2,4,6,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,2,4,7,1,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,2,4,7,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,2,6,1,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,2,6,1,7,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,2,6,4,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,2,6,4,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,2,6,7,1,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,2,6,7,4,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,2,7,1,4,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,2,7,1,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,2,7,4,1,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,2,7,4,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,2,7,6,1,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,2,7,6,4,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,4,2,1,6,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,4,2,1,7,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,4,2,6,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,4,2,6,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,4,2,7,1,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,4,2,7,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,4,6,2,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,4,6,2,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,4,6,7,2,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,4,7,2,1,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,4,7,2,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,4,7,6,2,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,6,2,1,4,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,6,2,1,7,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,6,2,4,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,6,2,4,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,6,2,7,1,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,6,2,7,4,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,6,4,2,1,7] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,6,4,2,7,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,6,4,7,2,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,6,7,2,1,4] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,6,7,2,4,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,6,7,4,2,1] => [[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => ([(0,5),(5,4),(5,6),(6,1),(6,2),(6,3)],7) => 30
[3,5,7,2,1,4,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,7,2,1,6,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,7,2,4,1,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,7,2,4,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,7,2,6,1,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,7,2,6,4,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,7,4,2,1,6] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,7,4,2,6,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,7,4,6,2,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,7,6,2,1,4] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,7,6,2,4,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,5,7,6,4,2,1] => [[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => ([(0,6),(4,3),(5,2),(5,4),(6,1),(6,5)],7) => 15
[3,6,2,1,5,4,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,2,1,5,7,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,2,1,7,5,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,2,5,1,4,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,2,5,1,7,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,2,5,4,1,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,2,5,4,7,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,2,5,7,1,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,2,5,7,4,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,2,7,1,5,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,2,7,5,1,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,2,7,5,4,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,5,2,1,4,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,5,2,1,7,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,5,2,4,1,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,5,2,4,7,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,5,2,7,1,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,5,2,7,4,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,5,4,2,1,7] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,5,4,2,7,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,5,4,7,2,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,5,7,2,1,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,5,7,2,4,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,5,7,4,2,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,7,2,1,5,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,7,2,5,1,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,7,2,5,4,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,7,5,2,1,4] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,7,5,2,4,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,6,7,5,4,2,1] => [[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => ([(0,6),(4,5),(5,2),(5,3),(6,1),(6,4)],7) => 10
[3,7,2,1,6,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,7,2,6,1,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,7,2,6,5,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,7,2,6,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,7,6,2,1,5,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,7,6,2,5,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,7,6,2,5,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,7,6,5,2,1,4] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,7,6,5,2,4,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[3,7,6,5,4,2,1] => [[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => ([(0,6),(3,5),(4,3),(5,1),(6,2),(6,4)],7) => 5
[4,3,2,1,5,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,3,2,1,5,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,3,2,1,6,5,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,2,1,6,7,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,2,1,7,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,3,2,5,1,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,3,2,5,1,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,3,2,5,6,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,3,2,5,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,3,2,5,7,1,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,3,2,5,7,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,3,2,6,1,5,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,2,6,1,7,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,2,6,5,1,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,2,6,5,7,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,2,6,7,1,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,2,6,7,5,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,2,7,1,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,3,2,7,6,1,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,3,2,7,6,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,3,5,2,1,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,3,5,2,1,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,3,5,2,6,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,3,5,2,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,3,5,2,7,1,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,3,5,2,7,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,3,5,6,2,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,3,5,6,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,3,5,6,7,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,3,5,7,2,1,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,3,5,7,2,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,3,5,7,6,2,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,3,6,2,1,5,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,6,2,1,7,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,6,2,5,1,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,6,2,5,7,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,6,2,7,1,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,6,2,7,5,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,6,5,2,1,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,6,5,2,7,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,6,5,7,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,6,7,2,1,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,6,7,2,5,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,6,7,5,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,3,7,2,1,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,3,7,2,6,1,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,3,7,2,6,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,3,7,6,2,1,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,3,7,6,2,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,3,7,6,5,2,1] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,5,3,2,1,6,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,5,3,2,1,7,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,5,3,2,6,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,5,3,2,6,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,5,3,2,7,1,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,5,3,2,7,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,5,3,6,2,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,5,3,6,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,5,3,6,7,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,5,3,7,2,1,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,5,3,7,2,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,5,3,7,6,2,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,5,6,3,2,1,7] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,5,6,3,2,7,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,5,6,3,7,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,5,6,7,3,2,1] => [[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => ([(0,5),(5,6),(6,1),(6,2),(6,3),(6,4)],7) => 24
[4,5,7,3,2,1,6] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,5,7,3,2,6,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,5,7,3,6,2,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,5,7,6,3,2,1] => [[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => ([(0,5),(4,3),(5,6),(6,1),(6,2),(6,4)],7) => 12
[4,6,3,2,1,5,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,3,2,1,7,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,3,2,5,1,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,3,2,5,7,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,3,2,7,1,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,3,2,7,5,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,3,5,2,1,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,3,5,2,7,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,3,5,7,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,3,7,2,1,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,3,7,2,5,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,3,7,5,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,5,3,2,1,7] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,5,3,2,7,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,5,3,7,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,5,7,3,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,7,3,2,1,5] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,7,3,2,5,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,7,3,5,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,6,7,5,3,2,1] => [[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => ([(0,4),(4,6),(5,2),(5,3),(6,1),(6,5)],7) => 8
[4,7,3,2,1,6,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,7,3,2,6,1,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,7,3,2,6,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,7,3,6,2,1,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,7,3,6,2,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,7,3,6,5,2,1] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,7,6,3,2,1,5] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,7,6,3,2,5,1] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,7,6,3,5,2,1] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[4,7,6,5,3,2,1] => [[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => ([(0,5),(3,4),(4,1),(5,6),(6,2),(6,3)],7) => 4
[5,4,3,2,1,6,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,4,3,2,1,7,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,4,3,2,6,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,4,3,2,6,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,4,3,2,7,1,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,4,3,2,7,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,4,3,6,2,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,4,3,6,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,4,3,6,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,4,3,7,2,1,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,4,3,7,2,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,4,3,7,6,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,4,6,3,2,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,4,6,3,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,4,6,3,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,4,6,7,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,4,7,3,2,1,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,4,7,3,2,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,4,7,3,6,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,4,7,6,3,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,6,4,3,2,1,7] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,6,4,3,2,7,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,6,4,3,7,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,6,4,7,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,6,7,4,3,2,1] => [[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => ([(0,5),(4,6),(5,4),(6,1),(6,2),(6,3)],7) => 6
[5,7,4,3,2,1,6] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,7,4,3,2,6,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,7,4,3,6,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,7,4,6,3,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[5,7,6,4,3,2,1] => [[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => ([(0,5),(3,6),(4,1),(5,3),(6,2),(6,4)],7) => 3
[6,5,4,3,2,1,7] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[6,5,4,3,2,7,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[6,5,4,3,7,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[6,5,4,7,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[6,5,7,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[6,7,5,4,3,2,1] => [[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => ([(0,5),(3,4),(4,6),(5,3),(6,1),(6,2)],7) => 2
[7,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7) => 720
[7,1,2,3,4,6,5] => [[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7) => 360
[7,1,2,3,6,4,5] => [[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7) => 240
[7,1,2,3,6,5,4] => [[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7) => 120
[7,1,2,6,3,4,5] => [[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7) => 180
[7,1,2,6,3,5,4] => [[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7) => 90
[7,1,2,6,5,3,4] => [[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7) => 60
[7,1,2,6,5,4,3] => [[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7) => 30
[7,1,6,2,3,4,5] => [[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7) => 144
[7,1,6,2,3,5,4] => [[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7) => 72
[7,1,6,2,5,3,4] => [[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7) => 48
[7,1,6,2,5,4,3] => [[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7) => 24
[7,1,6,5,2,3,4] => [[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7) => 36
[7,1,6,5,2,4,3] => [[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7) => 18
[7,1,6,5,4,2,3] => [[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7) => 12
[7,1,6,5,4,3,2] => [[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7) => 6
[7,6,1,2,3,4,5] => [[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7) => 120
[7,6,1,2,3,5,4] => [[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7) => 60
[7,6,1,2,5,3,4] => [[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7) => 40
[7,6,1,2,5,4,3] => [[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7) => 20
[7,6,1,5,2,3,4] => [[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7) => 30
[7,6,1,5,2,4,3] => [[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7) => 15
[7,6,1,5,4,2,3] => [[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7) => 10
[7,6,1,5,4,3,2] => [[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7) => 5
[7,6,5,1,2,3,4] => [[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7) => 24
[7,6,5,1,2,4,3] => [[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7) => 12
[7,6,5,1,4,2,3] => [[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7) => 8
[7,6,5,1,4,3,2] => [[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7) => 4
[7,6,5,4,1,2,3] => [[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7) => 6
[7,6,5,4,1,3,2] => [[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7) => 3
[7,6,5,4,3,1,2] => [[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7) => 2
[7,6,5,4,3,2,1] => [[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7) => 1
[8,7,6,5,4,3,2,1] => [[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8) => 1
[7,8,5,6,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,6,8,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[5,6,7,8,3,4,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,8,5,3,4,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,8,3,4,5,6,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,5,3,4,6,8,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,3,4,5,6,8,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[5,6,3,4,7,8,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,4,6,7,8,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[3,4,5,6,7,8,1,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[7,8,5,6,3,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,6,8,3,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[5,6,7,8,3,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,8,5,6,1,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[7,5,6,8,1,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[5,6,7,8,1,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[7,8,3,4,5,1,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,8,5,3,1,2,4,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,8,5,1,2,3,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[7,8,3,4,1,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,8,3,1,2,4,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,8,1,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1440
[5,6,3,4,7,1,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[3,4,5,6,7,1,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[5,6,7,3,1,2,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,5,6,1,2,3,4,8] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[5,6,7,1,2,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[7,5,3,1,2,4,6,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,1,2,3,4,6,8] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[7,3,4,1,2,5,6,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,3,1,2,4,5,6,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,1,2,3,4,5,6,8] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1440
[5,6,3,4,1,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[3,4,5,6,1,2,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,4,5,1,2,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[5,3,1,2,4,6,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,1,2,3,4,6,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[3,4,1,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,1,2,4,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[1,2,3,4,5,6,7,8] => [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => ([],8) => 40320
[2,8,7,6,5,4,3,1] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => 7
[2,1,8,7,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => 7
[3,1,4,2,7,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,4,1,2,7,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,1,4,7,2,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,4,7,1,2,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,1,4,2,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,4,1,2,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,4,7,1,8,2,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,4,7,8,1,2,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,1,4,2,7,5,6,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,4,1,2,7,5,6,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,1,4,2,5,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,1,4,5,2,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,4,1,5,2,6,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,4,1,5,6,2,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,4,5,1,6,2,7,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,1,4,5,6,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,4,1,5,6,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,4,5,1,6,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,4,5,6,1,7,2,8] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,1,4,5,6,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,4,1,5,6,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,4,5,1,6,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,4,5,6,1,7,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,4,5,6,7,1,8,2] => [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => 1440
[3,1,2,4,7,5,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,1,2,4,7,8,5,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,1,2,4,7,5,6,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[5,1,6,2,7,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,6,1,2,7,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,6,7,2,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,6,1,7,2,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,6,7,1,2,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,6,1,2,7,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,6,7,2,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,6,7,1,2,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,6,7,8,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,6,1,7,8,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,6,7,1,8,2,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,6,2,7,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,6,1,7,2,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,6,2,3,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,2,6,3,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,2,6,7,3,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,6,2,3,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,6,1,2,3,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,2,6,3,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,2,6,7,3,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,2,6,7,8,3,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,6,2,3,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,2,6,3,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[5,1,2,3,6,4,7,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[1,2,5,3,6,4,7,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2688
[1,2,5,6,3,4,7,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2688
[5,1,2,3,6,7,4,8] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[1,2,5,6,3,7,4,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2688
[5,1,2,3,6,7,8,4] => [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 576
[1,2,5,3,6,7,8,4] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2688
[1,2,5,6,3,7,8,4] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2688
[1,2,5,6,7,3,8,4] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2688
[1,2,5,6,7,8,3,4] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2688
[1,2,5,3,4,6,7,8] => [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => 2688
[7,1,8,2,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1440
[7,1,2,8,3,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1440
[7,1,2,3,8,4,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1440
[1,2,7,3,8,4,5,6] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 2688
[1,2,7,8,3,4,5,6] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 2688
[7,1,2,3,4,8,5,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1440
[1,2,7,3,4,8,5,6] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 2688
[7,1,2,3,4,5,8,6] => [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 1440
[1,2,7,3,4,5,8,6] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 2688
[1,2,3,4,7,5,8,6] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6720
[1,2,3,4,7,8,5,6] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6720
[1,2,7,3,4,5,6,8] => [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 2688
[1,2,3,4,7,5,6,8] => [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => 6720
[2,1,10,9,8,7,6,5,4,3] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => ([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 9
[10,9,8,7,6,5,4,3,2,1] => [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 1
[5,3,6,1,2,4,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,3,8,1,2,4,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,5,8,1,2,3,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[5,3,6,7,1,2,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,3,4,8,1,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,5,3,6,1,2,4,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,8,1,2,4,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,6,8,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,1,2,5,3,4,8,6] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[7,1,2,5,6,3,8,4] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[7,3,1,2,4,5,8,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[5,3,1,2,6,7,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,3,1,8,2,4,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,3,4,1,2,5,8,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,8,5,1,6,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[5,3,4,1,6,7,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,3,4,5,1,2,8,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,3,4,5,6,1,8,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[5,6,7,8,3,1,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,5,8,6,1,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[5,6,7,3,1,8,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,5,3,8,4,1,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,8,6,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,8,3,1,2,4,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,1,2,8,3,6,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[5,3,6,4,7,1,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,6,1,7,4,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,6,1,7,2,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,6,3,7,1,8,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,5,3,1,8,6,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,1,2,8,3,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[5,6,3,7,4,8,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,8,3,4,5,1,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[5,6,7,3,8,4,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,6,7,1,2,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,6,4,7,8,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,5,1,2,8,6,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[7,5,8,3,1,2,6,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[5,3,6,1,7,8,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,3,4,1,8,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,3,4,1,5,2,8,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,3,8,4,5,1,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[3,4,7,1,5,2,6,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,1,4,7,5,6,2,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[1,2,7,5,3,8,6,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[3,4,7,5,1,8,6,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[5,6,3,7,1,2,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,5,8,3,1,4,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[9,8,7,6,5,4,3,2,1] => [[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => ([(0,8),(2,3),(3,5),(4,2),(5,7),(6,4),(7,1),(8,6)],9) => 1
[5,3,1,6,7,2,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,6,4,1,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,1,2,8,5,3,4,6] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[1,2,7,5,8,3,4,6] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[7,8,3,4,1,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,1,2,5,8,3,6,4] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[5,3,6,4,1,7,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,5,1,8,6,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[7,3,1,8,4,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[5,3,1,6,4,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,3,8,4,5,6,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[3,4,7,8,5,6,1,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[7,8,1,2,5,6,3,4] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[5,3,6,1,7,8,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,6,1,4,7,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[2,8,7,6,5,4,1,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => 7
[7,5,3,8,1,4,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,8,5,6,3,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,6,3,1,4,2,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,8,3,1,4,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,8,5,3,1,4,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,8,5,3,1,6,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,8,5,3,1,6,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,8,5,3,6,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,8,5,3,6,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,8,3,4,1,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,6,3,4,1,8,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,6,3,1,2,8,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,6,1,2,8,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,1,4,2,6,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,1,6,4,8,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,6,4,1,8,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,6,4,8,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,8,4,6,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,8,1,4,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,1,8,4,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,1,8,2,6,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,1,6,4,2,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,1,8,4,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,1,8,6,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,8,1,6,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,8,6,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,8,6,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,8,3,6,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,8,3,6,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,8,3,1,6,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,6,1,4,2,8] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,8,4,1,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,8,6,3,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,8,6,3,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,8,6,3,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,6,8,3,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,6,3,8,1,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,4,1,8,2,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,6,3,1,8,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,6,3,1,8,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,6,3,8,1,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,6,3,8,4,1,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,6,1,8,4,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,1,6,8,2,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,1,2,8,4,6] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,1,2,8,6,4] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,1,4,8,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,4,8,1,6,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,4,1,6,8,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[7,5,3,1,4,6,8,2] => [[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => 16
[3,4,1,7,5,6,8,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[7,3,8,4,1,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,5,1,6,2,3,8,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[3,4,1,7,5,8,2,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[5,6,3,1,7,8,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[3,4,1,7,5,6,2,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,4,7,1,5,8,6,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[3,4,1,7,5,2,6,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[7,1,2,5,8,6,3,4] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[5,3,6,7,1,4,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,3,1,4,5,6,2,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[5,3,1,6,7,4,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,1,8,2,5,3,6,4] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[5,6,3,1,2,7,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[2,9,8,7,6,5,4,3,1] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => ([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9) => 8
[2,10,9,8,7,6,5,4,3,1] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => ([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 9
[1,2,7,8,5,6,3,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[1,2,7,8,5,3,6,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[5,6,7,3,4,1,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,6,3,7,1,8,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,6,3,4,7,1,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,6,7,1,8,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,4,6,7,1,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[2,8,7,1,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => 7
[5,3,1,6,2,4,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,3,4,1,5,6,2,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,3,4,1,5,2,6,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,3,4,5,8,6,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,3,4,5,8,1,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,3,4,5,8,1,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[1,2,7,5,3,6,4,8] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[2,9,8,7,6,5,4,1,3] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => ([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9) => 8
[2,8,7,6,5,1,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => 7
[3,4,7,1,5,2,8,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[2,8,1,7,6,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => 7
[7,5,1,8,2,3,6,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[7,3,1,4,8,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[5,3,1,6,7,8,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[2,8,7,6,1,5,4,3] => [[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => 7
[7,3,8,1,4,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,3,8,1,4,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,3,8,1,4,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,1,2,5,8,3,4,6] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[7,5,1,2,3,4,8,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[7,1,8,2,5,6,3,4] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[7,8,1,2,5,3,6,4] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[5,3,6,7,4,1,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,3,1,4,8,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,3,1,4,5,2,6,8] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[5,6,3,1,2,7,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,6,1,2,7,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,1,2,8,5,6,3,4] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[7,8,3,1,4,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[1,2,7,5,8,3,6,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[1,2,7,5,6,3,8,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[2,10,9,8,7,6,5,4,1,3] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => ([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 9
[7,5,1,6,8,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[5,3,6,1,2,7,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,6,3,7,4,1,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,6,7,3,1,4,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,6,7,3,1,8,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,6,3,7,8,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,6,7,1,8,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,5,1,2,3,8,6,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[5,6,3,4,1,7,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,1,6,2,7,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,6,3,7,1,4,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,5,8,1,2,6,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[2,1,9,8,7,6,5,4,3] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => ([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9) => 8
[3,4,7,5,6,1,8,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[7,1,2,5,3,6,8,4] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[3,4,1,7,8,5,6,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[7,3,8,4,1,2,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,3,4,8,5,6,1,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[5,6,7,3,1,2,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,6,7,3,8,1,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[1,2,7,5,6,8,3,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[1,2,7,8,5,3,4,6] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[7,3,1,4,5,2,8,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[3,4,7,5,8,6,1,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[5,3,6,1,4,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[3,4,1,7,5,8,6,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[1,2,7,5,3,8,4,6] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[5,3,6,1,7,2,4,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,1,4,6,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[3,1,4,7,8,5,2,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[7,5,1,8,2,6,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[2,9,8,7,1,6,5,4,3] => [[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => ([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],9) => 8
[2,10,9,8,7,1,6,5,4,3] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => ([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 9
[2,10,1,9,8,7,6,5,4,3] => [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => ([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => 9
[5,3,1,4,2,6,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,5,1,2,6,8,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[5,3,6,7,8,1,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,6,3,7,1,4,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,6,1,4,7,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[1,2,7,5,3,4,6,8] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[1,2,7,5,3,4,8,6] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[7,8,3,4,1,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[5,6,3,1,7,4,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,3,8,4,1,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[3,4,1,7,8,5,2,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[7,1,2,5,3,4,6,8] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[3,4,7,1,5,6,8,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[7,5,6,1,2,3,8,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[7,3,1,2,8,4,5,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[3,4,7,5,8,1,2,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[7,3,1,4,8,5,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,1,8,2,5,3,4,6] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[3,4,7,8,5,1,2,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[7,3,1,4,2,5,8,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[5,6,3,1,4,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[3,4,7,8,5,1,6,2] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[5,6,3,4,1,7,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,3,4,5,1,6,8,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[5,3,1,6,4,7,2,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,3,4,5,1,8,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,5,8,1,6,2,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[5,3,1,4,6,7,8,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,4,1,6,2,7,8] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,3,1,8,4,5,6,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[7,5,8,1,2,3,6,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[3,4,7,1,5,6,2,8] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[5,3,6,7,4,8,1,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[5,3,1,6,7,8,2,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,8,1,2,5,3,4,6] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[5,6,3,7,8,1,4,2] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[7,5,1,2,3,8,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[7,3,8,4,5,1,2,6] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[3,4,7,1,5,8,2,6] => [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => 240
[7,5,1,8,2,3,4,6] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
[7,3,1,4,5,6,8,2] => [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => 96
[1,2,7,5,6,3,4,8] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[5,3,1,6,2,7,8,4] => [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => 96
[1,2,7,5,8,6,3,4] => [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 448
[7,1,2,5,3,8,4,6] => [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => 240
[7,8,5,1,2,6,3,4] => [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => 96
search for individual values
searching the database for the individual values of this statistic
/
search for generating function
searching the database for statistics with the same generating function
Generating function
click to show known generating functions
Search the OEIS for these generating functions
Search the Online Encyclopedia of Integer
Sequences for the coefficients of a few of the
first generating functions, in the case at hand:
1,1 1,3,1,0,0,1 1,6,4,4,0,4,0,3,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1
$F_{2} = q + q^{2}$
$F_{3} = q + 3\ q^{2} + q^{3} + q^{6}$
$F_{4} = q + 6\ q^{2} + 4\ q^{3} + 4\ q^{4} + 4\ q^{6} + 3\ q^{8} + q^{12} + q^{24}$
$F_{5} = q + 10\ q^{2} + 10\ q^{3} + 20\ q^{4} + q^{5} + 20\ q^{6} + 15\ q^{8} + 6\ q^{10} + 15\ q^{12} + 4\ q^{15} + 4\ q^{20} + 5\ q^{24} + 4\ q^{30} + 3\ q^{40} + q^{60} + q^{120}$
$F_{6} = q + 15\ q^{2} + 20\ q^{3} + 60\ q^{4} + 6\ q^{5} + 81\ q^{6} + 75\ q^{8} + 10\ q^{9} + 36\ q^{10} + 85\ q^{12} + 24\ q^{15} + 45\ q^{16} + 30\ q^{18} + 24\ q^{20} + 50\ q^{24} + 25\ q^{30} + 30\ q^{36} + 18\ q^{40} + 30\ q^{48} + 12\ q^{60} + 15\ q^{72} + 4\ q^{90} + 10\ q^{120} + 5\ q^{144} + 4\ q^{180} + 3\ q^{240} + q^{360} + q^{720}$
Description
The number of linear extensions of a poset.
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
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
permutation poset
Description
Sends a permutation to its permutation poset.
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
For a permutation $\pi$ of length $n$, this poset has vertices
$$\{ (i,\pi(i))\ :\ 1 \leq i \leq n \}$$
and the cover relation is given by $(w, x) \leq (y, z)$ if $w \leq y$ and $x \leq z$.
For example, the permutation $[3,1,5,4,2]$ is mapped to the poset with cover relations
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
searching the database
Sorry, this statistic was not found in the database
or
add this statistic to the database – it's very simple and we need your support!