Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00073: Permutations —major-index to inversion-number bijection⟶ Permutations
Mp00065: Permutations —permutation poset⟶ Posets
Mp00073: Permutations —major-index to inversion-number bijection⟶ Permutations
Mp00065: Permutations —permutation poset⟶ Posets
Images
[.,.] => [1] => [1] => ([],1)
[.,[.,.]] => [2,1] => [2,1] => ([],2)
[[.,.],.] => [1,2] => [1,2] => ([(0,1)],2)
[.,[.,[.,.]]] => [3,2,1] => [3,2,1] => ([],3)
[.,[[.,.],.]] => [2,3,1] => [3,1,2] => ([(1,2)],3)
[[.,.],[.,.]] => [1,3,2] => [2,3,1] => ([(1,2)],3)
[[.,[.,.]],.] => [2,1,3] => [2,1,3] => ([(0,2),(1,2)],3)
[[[.,.],.],.] => [1,2,3] => [1,2,3] => ([(0,2),(2,1)],3)
[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,3,2,1] => ([],4)
[.,[.,[[.,.],.]]] => [3,4,2,1] => [4,3,1,2] => ([(2,3)],4)
[.,[[.,.],[.,.]]] => [2,4,3,1] => [4,2,3,1] => ([(2,3)],4)
[.,[[.,[.,.]],.]] => [3,2,4,1] => [4,2,1,3] => ([(1,3),(2,3)],4)
[.,[[[.,.],.],.]] => [2,3,4,1] => [4,1,2,3] => ([(1,2),(2,3)],4)
[[.,.],[.,[.,.]]] => [1,4,3,2] => [3,4,2,1] => ([(2,3)],4)
[[.,.],[[.,.],.]] => [1,3,4,2] => [2,4,1,3] => ([(0,3),(1,2),(1,3)],4)
[[.,[.,.]],[.,.]] => [2,1,4,3] => [3,2,4,1] => ([(1,3),(2,3)],4)
[[[.,.],.],[.,.]] => [1,2,4,3] => [2,3,4,1] => ([(1,2),(2,3)],4)
[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => ([(0,3),(1,3),(2,3)],4)
[[.,[[.,.],.]],.] => [2,3,1,4] => [3,1,2,4] => ([(0,3),(1,2),(2,3)],4)
[[[.,.],[.,.]],.] => [1,3,2,4] => [2,3,1,4] => ([(0,3),(1,2),(2,3)],4)
[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => ([(0,3),(1,3),(3,2)],4)
[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => ([(0,3),(2,1),(3,2)],4)
[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,4,3,2,1] => ([],5)
[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [5,4,3,1,2] => ([(3,4)],5)
[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [5,4,2,3,1] => ([(3,4)],5)
[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [5,4,2,1,3] => ([(2,4),(3,4)],5)
[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [5,4,1,2,3] => ([(2,3),(3,4)],5)
[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [5,3,4,2,1] => ([(3,4)],5)
[.,[[.,.],[[.,.],.]]] => [2,4,5,3,1] => [5,2,4,1,3] => ([(1,4),(2,3),(2,4)],5)
[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [5,3,2,4,1] => ([(2,4),(3,4)],5)
[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [5,2,3,4,1] => ([(2,3),(3,4)],5)
[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [5,3,2,1,4] => ([(1,4),(2,4),(3,4)],5)
[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [5,3,1,2,4] => ([(1,4),(2,3),(3,4)],5)
[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [5,2,3,1,4] => ([(1,4),(2,3),(3,4)],5)
[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [5,2,1,3,4] => ([(1,4),(2,4),(4,3)],5)
[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [5,1,2,3,4] => ([(1,4),(3,2),(4,3)],5)
[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [4,5,3,2,1] => ([(3,4)],5)
[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [3,5,4,1,2] => ([(0,4),(1,2),(1,3)],5)
[[.,.],[[.,.],[.,.]]] => [1,3,5,4,2] => [3,5,2,4,1] => ([(1,4),(2,3),(2,4)],5)
[[.,.],[[.,[.,.]],.]] => [1,4,3,5,2] => [3,5,2,1,4] => ([(0,4),(1,4),(2,3),(2,4)],5)
[[.,.],[[[.,.],.],.]] => [1,3,4,5,2] => [2,5,1,3,4] => ([(0,4),(1,2),(1,4),(4,3)],5)
[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [4,3,5,2,1] => ([(2,4),(3,4)],5)
[[.,[.,.]],[[.,.],.]] => [2,1,4,5,3] => [3,2,5,1,4] => ([(0,4),(1,3),(1,4),(2,3),(2,4)],5)
[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [3,4,5,2,1] => ([(2,3),(3,4)],5)
[[[.,.],.],[[.,.],.]] => [1,2,4,5,3] => [2,3,5,1,4] => ([(0,4),(1,2),(2,3),(2,4)],5)
[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [4,3,2,5,1] => ([(1,4),(2,4),(3,4)],5)
[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [4,2,3,5,1] => ([(1,4),(2,3),(3,4)],5)
[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [3,4,2,5,1] => ([(1,4),(2,3),(3,4)],5)
[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [3,2,4,5,1] => ([(1,4),(2,4),(4,3)],5)
[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [2,3,4,5,1] => ([(1,4),(3,2),(4,3)],5)
[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1,5] => ([(0,4),(1,4),(2,4),(3,4)],5)
[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [4,3,1,2,5] => ([(0,4),(1,4),(2,3),(3,4)],5)
[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [4,2,3,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5)
[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [4,2,1,3,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [4,1,2,3,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [3,4,2,1,5] => ([(0,4),(1,4),(2,3),(3,4)],5)
[[[.,.],[[.,.],.]],.] => [1,3,4,2,5] => [2,4,1,3,5] => ([(0,3),(1,2),(1,3),(2,4),(3,4)],5)
[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [3,2,4,1,5] => ([(0,4),(1,3),(2,3),(3,4)],5)
[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [2,3,4,1,5] => ([(0,4),(1,2),(2,3),(3,4)],5)
[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4,5] => ([(0,4),(1,4),(2,4),(4,3)],5)
[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [3,1,2,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [2,3,1,4,5] => ([(0,4),(1,2),(2,4),(4,3)],5)
[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,4),(1,4),(2,3),(4,2)],5)
[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,4),(2,3),(3,1),(4,2)],5)
[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => ([],6)
[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [6,5,4,3,1,2] => ([(4,5)],6)
[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [6,5,4,2,3,1] => ([(4,5)],6)
[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [6,5,4,2,1,3] => ([(3,5),(4,5)],6)
[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [6,5,4,1,2,3] => ([(3,4),(4,5)],6)
[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => ([(4,5)],6)
[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [6,5,2,4,1,3] => ([(2,5),(3,4),(3,5)],6)
[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [6,5,3,2,4,1] => ([(3,5),(4,5)],6)
[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [6,5,2,3,4,1] => ([(3,4),(4,5)],6)
[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [6,5,3,2,1,4] => ([(2,5),(3,5),(4,5)],6)
[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [6,5,3,1,2,4] => ([(2,5),(3,4),(4,5)],6)
[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [6,5,2,3,1,4] => ([(2,5),(3,4),(4,5)],6)
[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [6,5,2,1,3,4] => ([(2,5),(3,5),(5,4)],6)
[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [6,5,1,2,3,4] => ([(2,3),(3,5),(5,4)],6)
[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [6,4,5,3,2,1] => ([(4,5)],6)
[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [6,3,5,4,1,2] => ([(1,5),(2,3),(2,4)],6)
[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [6,3,5,2,4,1] => ([(2,5),(3,4),(3,5)],6)
[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [6,3,5,2,1,4] => ([(1,5),(2,5),(3,4),(3,5)],6)
[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [6,2,5,1,3,4] => ([(1,5),(2,3),(2,5),(5,4)],6)
[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [6,4,3,5,2,1] => ([(3,5),(4,5)],6)
[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [6,3,2,5,1,4] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [6,3,4,5,2,1] => ([(3,4),(4,5)],6)
[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [6,2,3,5,1,4] => ([(1,5),(2,3),(3,4),(3,5)],6)
[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [6,4,3,2,5,1] => ([(2,5),(3,5),(4,5)],6)
[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [6,4,2,3,5,1] => ([(2,5),(3,4),(4,5)],6)
[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [6,3,4,2,5,1] => ([(2,5),(3,4),(4,5)],6)
[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [6,3,2,4,5,1] => ([(2,5),(3,5),(5,4)],6)
[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [6,2,3,4,5,1] => ([(2,3),(3,5),(5,4)],6)
[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [6,4,3,2,1,5] => ([(1,5),(2,5),(3,5),(4,5)],6)
[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [6,4,3,1,2,5] => ([(1,5),(2,5),(3,4),(4,5)],6)
[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [6,4,2,3,1,5] => ([(1,5),(2,5),(3,4),(4,5)],6)
[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [6,4,2,1,3,5] => ([(1,5),(2,4),(3,4),(4,5)],6)
[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [6,4,1,2,3,5] => ([(1,5),(2,3),(3,4),(4,5)],6)
[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [6,3,4,2,1,5] => ([(1,5),(2,5),(3,4),(4,5)],6)
[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [6,2,4,1,3,5] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [6,3,2,4,1,5] => ([(1,5),(2,4),(3,4),(4,5)],6)
[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [6,2,3,4,1,5] => ([(1,5),(2,3),(3,4),(4,5)],6)
>>> Load all 1632 entries. <<<
[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [6,3,2,1,4,5] => ([(1,5),(2,5),(3,5),(5,4)],6)
[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [6,3,1,2,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6)
[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [6,2,3,1,4,5] => ([(1,5),(2,3),(3,5),(5,4)],6)
[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [6,2,1,3,4,5] => ([(1,5),(2,5),(3,4),(5,3)],6)
[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [6,1,2,3,4,5] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [5,6,4,3,2,1] => ([(4,5)],6)
[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [4,6,5,3,1,2] => ([(1,5),(2,3),(2,4)],6)
[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [4,6,5,2,3,1] => ([(1,5),(2,3),(2,4)],6)
[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [4,6,5,2,1,3] => ([(0,5),(1,5),(2,3),(2,4)],6)
[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [3,6,5,1,2,4] => ([(0,4),(1,2),(1,3),(1,5),(4,5)],6)
[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [4,6,3,5,2,1] => ([(2,5),(3,4),(3,5)],6)
[[.,.],[[.,.],[[.,.],.]]] => [1,3,5,6,4,2] => [3,6,2,5,1,4] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5)],6)
[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [4,6,3,2,5,1] => ([(1,5),(2,5),(3,4),(3,5)],6)
[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [3,6,2,4,5,1] => ([(1,5),(2,3),(2,5),(5,4)],6)
[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [4,6,3,2,1,5] => ([(0,5),(1,5),(2,5),(3,4),(3,5)],6)
[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [3,6,4,1,2,5] => ([(0,4),(1,2),(1,3),(3,5),(4,5)],6)
[[.,.],[[[.,.],[.,.]],.]] => [1,3,5,4,6,2] => [3,6,2,4,1,5] => ([(0,5),(1,4),(2,3),(2,4),(4,5)],6)
[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [3,6,2,1,4,5] => ([(0,5),(1,5),(2,3),(2,5),(5,4)],6)
[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [2,6,1,3,4,5] => ([(0,5),(1,3),(1,5),(4,2),(5,4)],6)
[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [5,4,6,3,2,1] => ([(3,5),(4,5)],6)
[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [4,3,6,5,1,2] => ([(0,4),(0,5),(1,4),(1,5),(2,3)],6)
[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [4,3,6,2,5,1] => ([(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [4,3,6,2,1,5] => ([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [3,2,6,1,4,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(5,3)],6)
[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [4,5,6,3,2,1] => ([(3,4),(4,5)],6)
[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [3,4,6,5,1,2] => ([(0,4),(1,5),(5,2),(5,3)],6)
[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [3,4,6,2,5,1] => ([(1,5),(2,3),(3,4),(3,5)],6)
[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [3,4,6,2,1,5] => ([(0,5),(1,5),(2,3),(3,4),(3,5)],6)
[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [2,3,6,1,4,5] => ([(0,5),(1,4),(4,2),(4,5),(5,3)],6)
[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [5,4,3,6,2,1] => ([(2,5),(3,5),(4,5)],6)
[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [4,3,2,6,1,5] => ([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [5,3,4,6,2,1] => ([(2,5),(3,4),(4,5)],6)
[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [4,2,3,6,1,5] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [4,5,3,6,2,1] => ([(2,5),(3,4),(4,5)],6)
[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [3,4,2,6,1,5] => ([(0,5),(1,4),(1,5),(2,3),(3,4),(3,5)],6)
[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [4,3,5,6,2,1] => ([(2,5),(3,5),(5,4)],6)
[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [3,2,4,6,1,5] => ([(0,5),(1,5),(2,4),(5,3),(5,4)],6)
[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [3,4,5,6,2,1] => ([(2,3),(3,5),(5,4)],6)
[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [2,3,4,6,1,5] => ([(0,5),(1,3),(3,4),(4,2),(4,5)],6)
[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [5,4,3,2,6,1] => ([(1,5),(2,5),(3,5),(4,5)],6)
[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [5,4,2,3,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6)
[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [5,3,4,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6)
[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [5,3,2,4,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6)
[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [5,2,3,4,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6)
[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [4,5,3,2,6,1] => ([(1,5),(2,5),(3,4),(4,5)],6)
[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [3,5,2,4,6,1] => ([(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [4,3,5,2,6,1] => ([(1,5),(2,4),(3,4),(4,5)],6)
[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [3,4,5,2,6,1] => ([(1,5),(2,3),(3,4),(4,5)],6)
[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [4,3,2,5,6,1] => ([(1,5),(2,5),(3,5),(5,4)],6)
[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [4,2,3,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6)
[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [3,4,2,5,6,1] => ([(1,5),(2,3),(3,5),(5,4)],6)
[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [3,2,4,5,6,1] => ([(1,5),(2,5),(3,4),(5,3)],6)
[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [2,3,4,5,6,1] => ([(1,5),(3,4),(4,2),(5,3)],6)
[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [5,4,3,1,2,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [5,4,2,3,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [5,4,2,1,3,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [5,4,1,2,3,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [5,3,4,2,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [5,2,4,1,3,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [5,3,2,4,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [5,2,3,4,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [5,3,2,1,4,6] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [5,3,1,2,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [5,2,3,1,4,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [5,2,1,3,4,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [5,1,2,3,4,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [4,5,3,2,1,6] => ([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [3,5,4,1,2,6] => ([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)
[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [3,5,2,4,1,6] => ([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [3,5,2,1,4,6] => ([(0,5),(1,5),(2,3),(2,5),(3,4),(5,4)],6)
[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [2,5,1,3,4,6] => ([(0,4),(1,2),(1,4),(2,5),(3,5),(4,3)],6)
[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [4,3,5,2,1,6] => ([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [3,2,5,1,4,6] => ([(0,5),(1,3),(1,5),(2,3),(2,5),(3,4),(5,4)],6)
[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [3,4,5,2,1,6] => ([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [2,3,5,1,4,6] => ([(0,5),(1,2),(2,3),(2,5),(3,4),(5,4)],6)
[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [4,3,2,5,1,6] => ([(0,5),(1,5),(2,5),(3,4),(5,4)],6)
[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [4,2,3,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [3,4,2,5,1,6] => ([(0,5),(1,4),(2,3),(3,5),(5,4)],6)
[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [3,2,4,5,1,6] => ([(0,5),(1,4),(2,4),(3,5),(4,3)],6)
[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [2,3,4,5,1,6] => ([(0,5),(1,4),(2,5),(3,2),(4,3)],6)
[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => ([(0,5),(1,5),(2,5),(3,5),(5,4)],6)
[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [4,3,1,2,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)
[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [4,2,3,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)
[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [4,2,1,3,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [4,1,2,3,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [3,4,2,1,5,6] => ([(0,5),(1,5),(2,3),(3,5),(5,4)],6)
[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [2,4,1,3,5,6] => ([(0,4),(1,2),(1,4),(2,5),(4,5),(5,3)],6)
[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [3,2,4,1,5,6] => ([(0,5),(1,4),(2,4),(4,5),(5,3)],6)
[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [2,3,4,1,5,6] => ([(0,5),(1,4),(2,5),(4,2),(5,3)],6)
[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => ([(0,5),(1,5),(2,5),(3,4),(5,3)],6)
[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [3,1,2,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [2,3,1,4,5,6] => ([(0,5),(1,3),(3,5),(4,2),(5,4)],6)
[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,5),(1,5),(3,2),(4,3),(5,4)],6)
[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,5),(2,4),(3,2),(4,1),(5,3)],6)
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] => [7,6,5,4,3,2,1] => [7,6,5,4,3,2,1] => ([],7)
[.,[.,[.,[.,[.,[[.,.],.]]]]]] => [6,7,5,4,3,2,1] => [7,6,5,4,3,1,2] => ([(5,6)],7)
[.,[.,[.,[.,[[.,.],[.,.]]]]]] => [5,7,6,4,3,2,1] => [7,6,5,4,2,3,1] => ([(5,6)],7)
[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [7,6,5,4,2,1,3] => ([(4,6),(5,6)],7)
[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [7,6,5,4,1,2,3] => ([(4,5),(5,6)],7)
[.,[.,[.,[[.,.],[.,[.,.]]]]]] => [4,7,6,5,3,2,1] => [7,6,5,3,4,2,1] => ([(5,6)],7)
[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [7,6,5,2,4,1,3] => ([(3,6),(4,5),(4,6)],7)
[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [7,6,5,3,2,4,1] => ([(4,6),(5,6)],7)
[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [7,6,5,2,3,4,1] => ([(4,5),(5,6)],7)
[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [7,6,5,3,2,1,4] => ([(3,6),(4,6),(5,6)],7)
[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [7,6,5,3,1,2,4] => ([(3,6),(4,5),(5,6)],7)
[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [7,6,5,2,3,1,4] => ([(3,6),(4,5),(5,6)],7)
[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [7,6,5,2,1,3,4] => ([(3,6),(4,6),(6,5)],7)
[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [7,6,5,1,2,3,4] => ([(3,4),(4,6),(6,5)],7)
[.,[.,[[.,.],[.,[.,[.,.]]]]]] => [3,7,6,5,4,2,1] => [7,6,4,5,3,2,1] => ([(5,6)],7)
[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [7,6,3,5,4,1,2] => ([(2,6),(3,4),(3,5)],7)
[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [7,6,3,5,2,4,1] => ([(3,6),(4,5),(4,6)],7)
[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [7,6,3,5,2,1,4] => ([(2,6),(3,6),(4,5),(4,6)],7)
[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [7,6,2,5,1,3,4] => ([(2,6),(3,4),(3,6),(6,5)],7)
[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [7,6,4,3,5,2,1] => ([(4,6),(5,6)],7)
[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [7,6,3,2,5,1,4] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [7,6,3,4,5,2,1] => ([(4,5),(5,6)],7)
[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [7,6,2,3,5,1,4] => ([(2,6),(3,4),(4,5),(4,6)],7)
[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [7,6,4,3,2,5,1] => ([(3,6),(4,6),(5,6)],7)
[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [7,6,4,2,3,5,1] => ([(3,6),(4,5),(5,6)],7)
[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [7,6,3,4,2,5,1] => ([(3,6),(4,5),(5,6)],7)
[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [7,6,3,2,4,5,1] => ([(3,6),(4,6),(6,5)],7)
[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [7,6,2,3,4,5,1] => ([(3,4),(4,6),(6,5)],7)
[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [7,6,4,3,2,1,5] => ([(2,6),(3,6),(4,6),(5,6)],7)
[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [7,6,4,3,1,2,5] => ([(2,6),(3,6),(4,5),(5,6)],7)
[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [7,6,4,2,3,1,5] => ([(2,6),(3,6),(4,5),(5,6)],7)
[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [7,6,4,2,1,3,5] => ([(2,6),(3,5),(4,5),(5,6)],7)
[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [7,6,4,1,2,3,5] => ([(2,6),(3,4),(4,5),(5,6)],7)
[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [7,6,3,4,2,1,5] => ([(2,6),(3,6),(4,5),(5,6)],7)
[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [7,6,2,4,1,3,5] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [7,6,3,2,4,1,5] => ([(2,6),(3,5),(4,5),(5,6)],7)
[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [7,6,2,3,4,1,5] => ([(2,6),(3,4),(4,5),(5,6)],7)
[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [7,6,3,2,1,4,5] => ([(2,6),(3,6),(4,6),(6,5)],7)
[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [7,6,3,1,2,4,5] => ([(2,6),(3,4),(4,6),(6,5)],7)
[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [7,6,2,3,1,4,5] => ([(2,6),(3,4),(4,6),(6,5)],7)
[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [7,6,2,1,3,4,5] => ([(2,6),(3,6),(4,5),(6,4)],7)
[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [7,6,1,2,3,4,5] => ([(2,6),(4,5),(5,3),(6,4)],7)
[.,[[.,.],[.,[.,[.,[.,.]]]]]] => [2,7,6,5,4,3,1] => [7,5,6,4,3,2,1] => ([(5,6)],7)
[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [7,4,6,5,3,1,2] => ([(2,6),(3,4),(3,5)],7)
[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [7,4,6,5,2,3,1] => ([(2,6),(3,4),(3,5)],7)
[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [7,4,6,5,2,1,3] => ([(1,6),(2,6),(3,4),(3,5)],7)
[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [7,3,6,5,1,2,4] => ([(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [7,4,6,3,5,2,1] => ([(3,6),(4,5),(4,6)],7)
[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [7,3,6,2,5,1,4] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [7,4,6,3,2,5,1] => ([(2,6),(3,6),(4,5),(4,6)],7)
[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [7,3,6,2,4,5,1] => ([(2,6),(3,4),(3,6),(6,5)],7)
[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [7,4,6,3,2,1,5] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7)
[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [7,3,6,4,1,2,5] => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [7,3,6,2,4,1,5] => ([(1,6),(2,5),(3,4),(3,5),(5,6)],7)
[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [7,3,6,2,1,4,5] => ([(1,6),(2,6),(3,4),(3,6),(6,5)],7)
[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [7,2,6,1,3,4,5] => ([(1,6),(2,3),(2,6),(4,5),(6,4)],7)
[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [7,5,4,6,3,2,1] => ([(4,6),(5,6)],7)
[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [7,4,3,6,5,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [7,4,3,6,2,5,1] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [7,4,3,6,2,1,5] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [7,3,2,6,1,4,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [7,4,5,6,3,2,1] => ([(4,5),(5,6)],7)
[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [7,3,4,6,5,1,2] => ([(1,5),(2,6),(6,3),(6,4)],7)
[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [7,3,4,6,2,5,1] => ([(2,6),(3,4),(4,5),(4,6)],7)
[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [7,3,4,6,2,1,5] => ([(1,6),(2,6),(3,4),(4,5),(4,6)],7)
[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [7,2,3,6,1,4,5] => ([(1,6),(2,3),(3,5),(3,6),(6,4)],7)
[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [7,5,4,3,6,2,1] => ([(3,6),(4,6),(5,6)],7)
[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [7,4,3,2,6,1,5] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [7,5,3,4,6,2,1] => ([(3,6),(4,5),(5,6)],7)
[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [7,4,2,3,6,1,5] => ([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [7,4,5,3,6,2,1] => ([(3,6),(4,5),(5,6)],7)
[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [7,3,4,2,6,1,5] => ([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [7,4,3,5,6,2,1] => ([(3,6),(4,6),(6,5)],7)
[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [7,3,2,4,6,1,5] => ([(1,6),(2,6),(3,5),(6,4),(6,5)],7)
[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [7,3,4,5,6,2,1] => ([(3,4),(4,6),(6,5)],7)
[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [7,2,3,4,6,1,5] => ([(1,3),(2,6),(3,5),(5,4),(5,6)],7)
[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [7,5,4,3,2,6,1] => ([(2,6),(3,6),(4,6),(5,6)],7)
[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [7,5,4,2,3,6,1] => ([(2,6),(3,6),(4,5),(5,6)],7)
[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [7,5,3,4,2,6,1] => ([(2,6),(3,6),(4,5),(5,6)],7)
[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [7,5,3,2,4,6,1] => ([(2,6),(3,5),(4,5),(5,6)],7)
[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [7,5,2,3,4,6,1] => ([(2,6),(3,4),(4,5),(5,6)],7)
[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [7,4,5,3,2,6,1] => ([(2,6),(3,6),(4,5),(5,6)],7)
[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [7,3,5,2,4,6,1] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [7,4,3,5,2,6,1] => ([(2,6),(3,5),(4,5),(5,6)],7)
[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [7,3,4,5,2,6,1] => ([(2,6),(3,4),(4,5),(5,6)],7)
[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [7,4,3,2,5,6,1] => ([(2,6),(3,6),(4,6),(6,5)],7)
[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [7,4,2,3,5,6,1] => ([(2,6),(3,4),(4,6),(6,5)],7)
[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [7,3,4,2,5,6,1] => ([(2,6),(3,4),(4,6),(6,5)],7)
[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [7,3,2,4,5,6,1] => ([(2,6),(3,6),(4,5),(6,4)],7)
[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [7,2,3,4,5,6,1] => ([(2,6),(4,5),(5,3),(6,4)],7)
[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [7,5,4,3,2,1,6] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [7,5,4,3,1,2,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [7,5,4,2,3,1,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [7,5,4,2,1,3,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [7,5,4,1,2,3,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [7,5,3,4,2,1,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [7,5,2,4,1,3,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [7,5,3,2,4,1,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [7,5,2,3,4,1,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [7,5,3,2,1,4,6] => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [7,5,3,1,2,4,6] => ([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [7,5,2,3,1,4,6] => ([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [7,5,2,1,3,4,6] => ([(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [7,5,1,2,3,4,6] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)
[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [7,4,5,3,2,1,6] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [7,3,5,4,1,2,6] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [7,3,5,2,4,1,6] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [7,3,5,2,1,4,6] => ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [7,2,5,1,3,4,6] => ([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)
[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [7,4,3,5,2,1,6] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [7,3,2,5,1,4,6] => ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [7,3,4,5,2,1,6] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [7,2,3,5,1,4,6] => ([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)
[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [7,4,3,2,5,1,6] => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [7,4,2,3,5,1,6] => ([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [7,3,4,2,5,1,6] => ([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [7,3,2,4,5,1,6] => ([(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [7,2,3,4,5,1,6] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)
[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [7,4,3,2,1,5,6] => ([(1,6),(2,6),(3,6),(4,6),(6,5)],7)
[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [7,4,3,1,2,5,6] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [7,4,2,3,1,5,6] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [7,4,2,1,3,5,6] => ([(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [7,4,1,2,3,5,6] => ([(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [7,3,4,2,1,5,6] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [7,2,4,1,3,5,6] => ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)
[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [7,3,2,4,1,5,6] => ([(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [7,2,3,4,1,5,6] => ([(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [7,3,2,1,4,5,6] => ([(1,6),(2,6),(3,6),(4,5),(6,4)],7)
[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [7,3,1,2,4,5,6] => ([(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [7,2,3,1,4,5,6] => ([(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [7,2,1,3,4,5,6] => ([(1,6),(2,6),(3,5),(5,4),(6,3)],7)
[.,[[[[[[.,.],.],.],.],.],.]] => [2,3,4,5,6,7,1] => [7,1,2,3,4,5,6] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[.,.],[.,[.,[.,[.,[.,.]]]]]] => [1,7,6,5,4,3,2] => [6,7,5,4,3,2,1] => ([(5,6)],7)
[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [5,7,6,4,3,1,2] => ([(2,6),(3,4),(3,5)],7)
[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [5,7,6,4,2,3,1] => ([(2,6),(3,4),(3,5)],7)
[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [5,7,6,4,2,1,3] => ([(1,6),(2,6),(3,4),(3,5)],7)
[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [4,7,6,5,1,2,3] => ([(0,6),(1,3),(1,4),(1,5),(6,2)],7)
[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [5,7,6,3,4,2,1] => ([(2,6),(3,4),(3,5)],7)
[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [4,7,6,2,5,1,3] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6)],7)
[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [5,7,6,3,2,4,1] => ([(1,6),(2,6),(3,4),(3,5)],7)
[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [4,7,6,2,3,5,1] => ([(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [5,7,6,3,2,1,4] => ([(0,6),(1,6),(2,6),(3,4),(3,5)],7)
[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [4,7,6,3,1,2,5] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [4,7,6,2,3,1,5] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [4,7,6,2,1,3,5] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(5,6)],7)
[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [3,7,6,1,2,4,5] => ([(0,5),(1,2),(1,3),(1,6),(5,6),(6,4)],7)
[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [5,7,4,6,3,2,1] => ([(3,6),(4,5),(4,6)],7)
[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [4,7,3,6,5,1,2] => ([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6)],7)
[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [4,7,3,6,2,5,1] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [4,7,3,6,2,1,5] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [3,7,2,6,1,4,5] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(6,4)],7)
[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [5,7,4,3,6,2,1] => ([(2,6),(3,6),(4,5),(4,6)],7)
[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [4,7,3,2,6,1,5] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [4,7,3,5,6,2,1] => ([(2,6),(3,4),(3,6),(6,5)],7)
[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [3,7,2,4,6,1,5] => ([(0,6),(1,5),(2,4),(2,6),(6,3),(6,5)],7)
[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [5,7,4,3,2,6,1] => ([(1,6),(2,6),(3,6),(4,5),(4,6)],7)
[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [4,7,5,2,3,6,1] => ([(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [4,7,3,5,2,6,1] => ([(1,6),(2,5),(3,4),(3,5),(5,6)],7)
[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [4,7,3,2,5,6,1] => ([(1,6),(2,6),(3,4),(3,6),(6,5)],7)
[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [3,7,2,4,5,6,1] => ([(1,6),(2,3),(2,6),(4,5),(6,4)],7)
[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [5,7,4,3,2,1,6] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(4,6)],7)
[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [4,7,5,3,1,2,6] => ([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [4,7,5,2,3,1,6] => ([(0,6),(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [4,7,5,2,1,3,6] => ([(0,5),(1,5),(2,3),(2,4),(4,6),(5,6)],7)
[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [3,7,5,1,2,4,6] => ([(0,4),(1,2),(1,3),(1,5),(3,6),(4,5),(5,6)],7)
[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [4,7,3,5,2,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(5,6)],7)
[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [3,7,2,5,1,4,6] => ([(0,6),(1,4),(1,6),(2,3),(2,4),(2,6),(4,5),(6,5)],7)
[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [4,7,3,2,5,1,6] => ([(0,6),(1,6),(2,5),(3,4),(3,6),(6,5)],7)
[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [3,7,2,4,5,1,6] => ([(0,6),(1,5),(2,3),(2,5),(4,6),(5,4)],7)
[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [4,7,3,2,1,5,6] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(6,5)],7)
[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [3,7,4,1,2,5,6] => ([(0,5),(1,2),(1,3),(3,6),(5,6),(6,4)],7)
[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [3,7,2,4,1,5,6] => ([(0,6),(1,5),(2,4),(2,5),(5,6),(6,3)],7)
[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [3,7,2,1,4,5,6] => ([(0,6),(1,6),(2,3),(2,6),(4,5),(6,4)],7)
[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [2,7,1,3,4,5,6] => ([(0,6),(1,3),(1,6),(4,2),(5,4),(6,5)],7)
[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [6,5,7,4,3,2,1] => ([(4,6),(5,6)],7)
[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [5,4,7,6,3,1,2] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [5,4,7,6,2,3,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [5,4,7,6,2,1,3] => ([(0,4),(1,4),(2,5),(2,6),(3,5),(3,6)],7)
[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [4,3,7,6,1,2,5] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,3),(3,6)],7)
[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [5,4,7,3,6,2,1] => ([(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [4,3,7,2,6,1,5] => ([(0,6),(1,5),(1,6),(2,4),(2,5),(2,6),(3,4),(3,5),(3,6)],7)
[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [5,4,7,3,2,6,1] => ([(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [4,3,7,2,5,6,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [5,4,7,3,2,1,6] => ([(0,6),(1,6),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [4,3,7,5,1,2,6] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(5,6)],7)
[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [4,3,7,2,5,1,6] => ([(0,6),(1,5),(2,4),(2,6),(3,4),(3,6),(6,5)],7)
[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [4,3,7,2,1,5,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [3,2,7,1,4,5,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(6,3)],7)
[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [5,6,7,4,3,2,1] => ([(4,5),(5,6)],7)
[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [4,5,7,6,3,1,2] => ([(1,5),(2,6),(6,3),(6,4)],7)
[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [4,5,7,6,2,3,1] => ([(1,5),(2,6),(6,3),(6,4)],7)
[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [4,5,7,6,2,1,3] => ([(0,3),(1,6),(2,6),(3,4),(3,5)],7)
[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [3,4,7,6,1,2,5] => ([(0,4),(1,5),(4,6),(5,2),(5,3),(5,6)],7)
[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [4,5,7,3,6,2,1] => ([(2,6),(3,4),(4,5),(4,6)],7)
[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [3,4,7,2,6,1,5] => ([(0,6),(1,5),(1,6),(2,3),(3,4),(3,5),(3,6)],7)
[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [4,5,7,3,2,6,1] => ([(1,6),(2,6),(3,4),(4,5),(4,6)],7)
[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [3,4,7,2,5,6,1] => ([(1,6),(2,3),(3,5),(3,6),(6,4)],7)
[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [4,5,7,3,2,1,6] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(4,6)],7)
[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [3,4,7,5,1,2,6] => ([(0,4),(1,5),(3,6),(4,6),(5,2),(5,3)],7)
[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [3,4,7,2,5,1,6] => ([(0,6),(1,5),(2,3),(3,4),(3,6),(6,5)],7)
[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [3,4,7,2,1,5,6] => ([(0,6),(1,6),(2,3),(3,5),(3,6),(6,4)],7)
[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [2,3,7,1,4,5,6] => ([(0,6),(1,4),(4,3),(4,6),(5,2),(6,5)],7)
[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [6,5,4,7,3,2,1] => ([(3,6),(4,6),(5,6)],7)
[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [5,4,3,7,6,1,2] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4)],7)
[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [5,4,3,7,2,6,1] => ([(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [5,4,3,7,2,1,6] => ([(0,6),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [4,3,2,7,1,5,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(6,4)],7)
[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [6,4,5,7,3,2,1] => ([(3,6),(4,5),(5,6)],7)
[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [5,3,4,7,6,1,2] => ([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)
[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [5,3,4,7,2,6,1] => ([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [5,3,4,7,2,1,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [4,2,3,7,1,5,6] => ([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [5,6,4,7,3,2,1] => ([(3,6),(4,5),(5,6)],7)
[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [4,5,3,7,6,1,2] => ([(0,5),(0,6),(1,3),(2,4),(4,5),(4,6)],7)
[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [4,5,3,7,2,6,1] => ([(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [4,5,3,7,2,1,6] => ([(0,6),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [3,4,2,7,1,5,6] => ([(0,6),(1,5),(1,6),(2,4),(4,5),(4,6),(6,3)],7)
[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [5,4,6,7,3,2,1] => ([(3,6),(4,6),(6,5)],7)
[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [4,3,5,7,6,1,2] => ([(0,6),(1,6),(2,3),(6,4),(6,5)],7)
[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [4,3,5,7,2,6,1] => ([(1,6),(2,6),(3,5),(6,4),(6,5)],7)
[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [4,3,5,7,2,1,6] => ([(0,6),(1,6),(2,5),(3,5),(5,4),(5,6)],7)
[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [3,2,4,7,1,5,6] => ([(0,6),(1,5),(2,5),(5,3),(5,6),(6,4)],7)
[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [4,5,6,7,3,2,1] => ([(3,4),(4,6),(6,5)],7)
[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [3,4,5,7,6,1,2] => ([(0,4),(1,5),(5,6),(6,2),(6,3)],7)
[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [3,4,5,7,2,6,1] => ([(1,3),(2,6),(3,5),(5,4),(5,6)],7)
[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [3,4,5,7,2,1,6] => ([(0,3),(1,6),(2,6),(3,5),(5,4),(5,6)],7)
[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [2,3,4,7,1,5,6] => ([(0,6),(1,4),(4,5),(5,2),(5,6),(6,3)],7)
[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [6,5,4,3,7,2,1] => ([(2,6),(3,6),(4,6),(5,6)],7)
[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [5,4,3,2,7,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(4,5),(4,6)],7)
[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [6,5,3,4,7,2,1] => ([(2,6),(3,6),(4,5),(5,6)],7)
[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [5,4,2,3,7,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [6,4,5,3,7,2,1] => ([(2,6),(3,6),(4,5),(5,6)],7)
[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [5,3,4,2,7,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [6,4,3,5,7,2,1] => ([(2,6),(3,5),(4,5),(5,6)],7)
[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [5,3,2,4,7,1,6] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)
[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [6,3,4,5,7,2,1] => ([(2,6),(3,4),(4,5),(5,6)],7)
[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [5,2,3,4,7,1,6] => ([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)
[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [5,6,4,3,7,2,1] => ([(2,6),(3,6),(4,5),(5,6)],7)
[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [4,5,3,2,7,1,6] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,5),(4,6)],7)
[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [4,6,3,5,7,2,1] => ([(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [3,5,2,4,7,1,6] => ([(0,6),(1,4),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6)],7)
[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [5,4,6,3,7,2,1] => ([(2,6),(3,5),(4,5),(5,6)],7)
[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [4,3,5,2,7,1,6] => ([(0,6),(1,5),(1,6),(2,4),(3,4),(4,5),(4,6)],7)
[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [4,5,6,3,7,2,1] => ([(2,6),(3,4),(4,5),(5,6)],7)
[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [3,4,5,2,7,1,6] => ([(0,6),(1,5),(1,6),(2,3),(3,4),(4,5),(4,6)],7)
[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [5,4,3,6,7,2,1] => ([(2,6),(3,6),(4,6),(6,5)],7)
[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [4,3,2,5,7,1,6] => ([(0,6),(1,6),(2,6),(3,5),(6,4),(6,5)],7)
[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [5,3,4,6,7,2,1] => ([(2,6),(3,4),(4,6),(6,5)],7)
[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [4,2,3,5,7,1,6] => ([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)
[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [4,5,3,6,7,2,1] => ([(2,6),(3,4),(4,6),(6,5)],7)
[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [3,4,2,5,7,1,6] => ([(0,6),(1,5),(2,3),(3,6),(6,4),(6,5)],7)
[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [4,3,5,6,7,2,1] => ([(2,6),(3,6),(4,5),(6,4)],7)
[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [3,2,4,5,7,1,6] => ([(0,6),(1,5),(2,5),(3,4),(3,6),(5,3)],7)
[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [3,4,5,6,7,2,1] => ([(2,6),(4,5),(5,3),(6,4)],7)
[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [2,3,4,5,7,1,6] => ([(0,6),(1,4),(3,5),(4,3),(5,2),(5,6)],7)
[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [6,5,4,3,2,7,1] => ([(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [6,5,4,2,3,7,1] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [6,5,3,4,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [6,5,3,2,4,7,1] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [6,5,2,3,4,7,1] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [6,4,5,3,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [6,3,5,2,4,7,1] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [6,4,3,5,2,7,1] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [6,3,4,5,2,7,1] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [6,4,3,2,5,7,1] => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [6,4,2,3,5,7,1] => ([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [6,3,4,2,5,7,1] => ([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [6,3,2,4,5,7,1] => ([(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [6,2,3,4,5,7,1] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)
[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [5,6,4,3,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [4,6,5,2,3,7,1] => ([(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [4,6,3,5,2,7,1] => ([(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [4,6,3,2,5,7,1] => ([(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [3,6,2,4,5,7,1] => ([(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)
[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [5,4,6,3,2,7,1] => ([(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [4,3,6,2,5,7,1] => ([(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [4,5,6,3,2,7,1] => ([(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [3,4,6,2,5,7,1] => ([(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)
[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [5,4,3,6,2,7,1] => ([(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [5,3,4,6,2,7,1] => ([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [4,5,3,6,2,7,1] => ([(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [4,3,5,6,2,7,1] => ([(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [3,4,5,6,2,7,1] => ([(1,3),(2,6),(3,5),(4,6),(5,4)],7)
[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [5,4,3,2,6,7,1] => ([(1,6),(2,6),(3,6),(4,6),(6,5)],7)
[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [5,4,2,3,6,7,1] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [5,3,4,2,6,7,1] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [5,3,2,4,6,7,1] => ([(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [5,2,3,4,6,7,1] => ([(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [4,5,3,2,6,7,1] => ([(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [3,5,2,4,6,7,1] => ([(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)
[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [4,3,5,2,6,7,1] => ([(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [3,4,5,2,6,7,1] => ([(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [4,3,2,5,6,7,1] => ([(1,6),(2,6),(3,6),(4,5),(6,4)],7)
[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [4,2,3,5,6,7,1] => ([(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [3,4,2,5,6,7,1] => ([(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [3,2,4,5,6,7,1] => ([(1,6),(2,6),(3,5),(5,4),(6,3)],7)
[[[[[[.,.],.],.],.],.],[.,.]] => [1,2,3,4,5,7,6] => [2,3,4,5,6,7,1] => ([(1,6),(3,5),(4,3),(5,2),(6,4)],7)
[[.,[.,[.,[.,[.,[.,.]]]]]],.] => [6,5,4,3,2,1,7] => [6,5,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [6,5,4,3,1,2,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [6,5,4,2,3,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [6,5,4,2,1,3,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [6,5,4,1,2,3,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [6,5,3,4,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [6,5,2,4,1,3,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [6,5,3,2,4,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [6,5,2,3,4,1,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [6,5,3,2,1,4,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)
[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [6,5,3,1,2,4,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [6,5,2,3,1,4,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [6,5,2,1,3,4,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [6,5,1,2,3,4,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)
[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [6,4,5,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [6,3,5,4,1,2,7] => ([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [6,3,5,2,4,1,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [6,3,5,2,1,4,7] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [6,2,5,1,3,4,7] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)
[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [6,4,3,5,2,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [6,3,2,5,1,4,7] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [6,3,4,5,2,1,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [6,2,3,5,1,4,7] => ([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)
[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [6,4,3,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)
[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [6,4,2,3,5,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [6,3,4,2,5,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [6,3,2,4,5,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [6,2,3,4,5,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)
[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [6,4,3,2,1,5,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [6,4,3,1,2,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [6,4,2,3,1,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [6,4,2,1,3,5,7] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [6,4,1,2,3,5,7] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [6,3,4,2,1,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [6,2,4,1,3,5,7] => ([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [6,3,2,4,1,5,7] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [6,2,3,4,1,5,7] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [6,3,2,1,4,5,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)
[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [6,3,1,2,4,5,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [6,2,3,1,4,5,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [6,2,1,3,4,5,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [6,1,2,3,4,5,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [5,6,4,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(5,6)],7)
[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [4,6,5,3,1,2,7] => ([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [4,6,5,2,3,1,7] => ([(0,6),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [4,6,5,2,1,3,7] => ([(0,5),(1,5),(2,3),(2,4),(3,6),(4,6),(5,6)],7)
[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [3,6,5,1,2,4,7] => ([(0,4),(1,2),(1,3),(1,5),(2,6),(3,6),(4,5),(5,6)],7)
[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [4,6,3,5,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [3,6,2,5,1,4,7] => ([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,6),(4,6),(5,6)],7)
[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [4,6,3,2,5,1,7] => ([(0,6),(1,5),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [3,6,2,4,5,1,7] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(4,6),(5,4)],7)
[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [4,6,3,2,1,5,7] => ([(0,6),(1,6),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [3,6,4,1,2,5,7] => ([(0,4),(1,2),(1,3),(2,6),(3,5),(4,5),(5,6)],7)
[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [3,6,2,4,1,5,7] => ([(0,5),(1,4),(2,3),(2,4),(3,6),(4,5),(5,6)],7)
[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [3,6,2,1,4,5,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(4,5),(6,4)],7)
[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [2,6,1,3,4,5,7] => ([(0,6),(1,3),(1,6),(2,5),(3,5),(4,2),(6,4)],7)
[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [5,4,6,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [4,3,6,5,1,2,7] => ([(0,4),(0,5),(1,4),(1,5),(2,3),(3,6),(4,6),(5,6)],7)
[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [4,3,6,2,5,1,7] => ([(0,6),(1,5),(2,4),(2,5),(3,4),(3,5),(4,6),(5,6)],7)
[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [4,3,6,2,1,5,7] => ([(0,6),(1,6),(2,4),(2,6),(3,4),(3,6),(4,5),(6,5)],7)
[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [3,2,6,1,4,5,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(3,5),(4,5),(6,3)],7)
[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [4,5,6,3,2,1,7] => ([(0,6),(1,6),(2,6),(3,4),(4,5),(5,6)],7)
[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [3,4,6,5,1,2,7] => ([(0,4),(1,5),(2,6),(3,6),(4,6),(5,2),(5,3)],7)
[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [3,4,6,2,5,1,7] => ([(0,6),(1,5),(2,3),(3,4),(3,5),(4,6),(5,6)],7)
[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [3,4,6,2,1,5,7] => ([(0,6),(1,6),(2,3),(3,4),(3,6),(4,5),(6,5)],7)
[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [2,3,6,1,4,5,7] => ([(0,6),(1,4),(2,5),(3,5),(4,3),(4,6),(6,2)],7)
[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [5,4,3,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,5),(5,6)],7)
[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [4,3,2,6,1,5,7] => ([(0,6),(1,5),(1,6),(2,5),(2,6),(3,5),(3,6),(5,4),(6,4)],7)
[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [5,3,4,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [4,2,3,6,1,5,7] => ([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [4,5,3,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(5,6)],7)
[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [3,4,2,6,1,5,7] => ([(0,6),(1,5),(1,6),(2,3),(3,5),(3,6),(5,4),(6,4)],7)
[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [4,3,5,6,2,1,7] => ([(0,6),(1,6),(2,5),(3,5),(4,6),(5,4)],7)
[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [3,2,4,6,1,5,7] => ([(0,5),(1,5),(2,4),(3,6),(4,6),(5,3),(5,4)],7)
[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [3,4,5,6,2,1,7] => ([(0,3),(1,6),(2,6),(3,5),(4,6),(5,4)],7)
[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [2,3,4,6,1,5,7] => ([(0,6),(1,4),(2,5),(3,2),(3,6),(4,3),(6,5)],7)
[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [5,4,3,2,6,1,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [5,4,2,3,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [5,3,4,2,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [5,3,2,4,6,1,7] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [5,2,3,4,6,1,7] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [4,5,3,2,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,6),(6,5)],7)
[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [3,5,2,4,6,1,7] => ([(0,4),(1,5),(2,3),(2,4),(3,6),(4,6),(6,5)],7)
[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [4,3,5,2,6,1,7] => ([(0,4),(1,4),(2,5),(3,6),(4,6),(6,5)],7)
[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [3,4,5,2,6,1,7] => ([(0,6),(1,5),(2,3),(3,4),(4,5),(5,6)],7)
[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [4,3,2,5,6,1,7] => ([(0,6),(1,6),(2,6),(3,5),(4,5),(6,4)],7)
[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [4,2,3,5,6,1,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [3,4,2,5,6,1,7] => ([(0,6),(1,5),(2,3),(3,6),(4,5),(6,4)],7)
[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [3,2,4,5,6,1,7] => ([(0,6),(1,6),(2,5),(3,4),(4,5),(6,3)],7)
[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [2,3,4,5,6,1,7] => ([(0,6),(1,5),(2,6),(3,4),(4,2),(5,3)],7)
[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,6),(6,5)],7)
[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [5,4,3,1,2,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [5,4,2,3,1,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [5,4,2,1,3,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [5,4,1,2,3,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [5,3,4,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [5,2,4,1,3,6,7] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)
[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [5,3,2,4,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [5,2,3,4,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [5,3,2,1,4,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)
[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [5,3,1,2,4,6,7] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [5,2,3,1,4,6,7] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [5,2,1,3,4,6,7] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [5,1,2,3,4,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [4,5,3,2,1,6,7] => ([(0,6),(1,6),(2,6),(3,4),(4,6),(6,5)],7)
[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [3,5,4,1,2,6,7] => ([(0,5),(1,2),(1,3),(2,6),(3,6),(5,6),(6,4)],7)
[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [3,5,2,4,1,6,7] => ([(0,6),(1,5),(2,3),(2,5),(3,6),(5,6),(6,4)],7)
[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [3,5,2,1,4,6,7] => ([(0,6),(1,6),(2,3),(2,6),(3,5),(5,4),(6,5)],7)
[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [2,5,1,3,4,6,7] => ([(0,6),(1,3),(1,6),(2,5),(3,5),(5,4),(6,2)],7)
[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [4,3,5,2,1,6,7] => ([(0,6),(1,6),(2,5),(3,5),(5,6),(6,4)],7)
[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [3,2,5,1,4,6,7] => ([(0,6),(1,4),(1,6),(2,4),(2,6),(4,5),(5,3),(6,5)],7)
[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [3,4,5,2,1,6,7] => ([(0,6),(1,6),(2,3),(3,5),(5,6),(6,4)],7)
[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [2,3,5,1,4,6,7] => ([(0,5),(1,4),(3,6),(4,3),(4,5),(5,6),(6,2)],7)
[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [4,3,2,5,1,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,5)],7)
[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [4,2,3,5,1,6,7] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [3,4,2,5,1,6,7] => ([(0,6),(1,5),(2,3),(3,6),(5,4),(6,5)],7)
[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [3,2,4,5,1,6,7] => ([(0,6),(1,5),(2,5),(4,6),(5,4),(6,3)],7)
[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [2,3,4,5,1,6,7] => ([(0,6),(1,5),(2,6),(4,2),(5,4),(6,3)],7)
[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => ([(0,6),(1,6),(2,6),(3,6),(4,5),(6,4)],7)
[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [4,3,1,2,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [4,2,3,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [4,2,1,3,5,6,7] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [4,1,2,3,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [3,4,2,1,5,6,7] => ([(0,6),(1,6),(2,3),(3,6),(4,5),(6,4)],7)
[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [2,4,1,3,5,6,7] => ([(0,6),(1,3),(1,6),(3,5),(4,2),(5,4),(6,5)],7)
[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [3,2,4,1,5,6,7] => ([(0,6),(1,5),(2,5),(3,4),(5,6),(6,3)],7)
[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [2,3,4,1,5,6,7] => ([(0,6),(1,4),(3,6),(4,3),(5,2),(6,5)],7)
[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => ([(0,6),(1,6),(2,6),(3,5),(5,4),(6,3)],7)
[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [3,1,2,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [2,3,1,4,5,6,7] => ([(0,6),(1,3),(3,6),(4,2),(5,4),(6,5)],7)
[[[[[[.,[.,.]],.],.],.],.],.] => [2,1,3,4,5,6,7] => [2,1,3,4,5,6,7] => ([(0,6),(1,6),(3,4),(4,2),(5,3),(6,5)],7)
[[[[[[[.,.],.],.],.],.],.],.] => [1,2,3,4,5,6,7] => [1,2,3,4,5,6,7] => ([(0,6),(2,3),(3,5),(4,2),(5,1),(6,4)],7)
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => [8,7,6,5,4,3,2,1] => ([],8)
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => [8,7,6,5,4,3,1,2] => ([(6,7)],8)
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => [8,7,6,5,4,2,3,1] => ([(6,7)],8)
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => [8,7,6,5,4,2,1,3] => ([(5,7),(6,7)],8)
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => [8,7,6,5,4,1,2,3] => ([(5,6),(6,7)],8)
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => [8,7,6,5,3,4,2,1] => ([(6,7)],8)
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => [8,7,6,5,2,4,1,3] => ([(4,7),(5,6),(5,7)],8)
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => [8,7,6,5,3,2,4,1] => ([(5,7),(6,7)],8)
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => [8,7,6,5,2,3,4,1] => ([(5,6),(6,7)],8)
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => [8,7,6,5,3,2,1,4] => ([(4,7),(5,7),(6,7)],8)
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => [8,7,6,5,3,1,2,4] => ([(4,7),(5,6),(6,7)],8)
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [8,7,6,5,2,3,1,4] => ([(4,7),(5,6),(6,7)],8)
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => [8,7,6,5,2,1,3,4] => ([(4,7),(5,7),(7,6)],8)
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => [8,7,6,5,1,2,3,4] => ([(4,5),(5,7),(7,6)],8)
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => [8,7,6,4,5,3,2,1] => ([(6,7)],8)
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => [8,7,6,3,5,4,1,2] => ([(3,7),(4,5),(4,6)],8)
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [8,7,6,3,5,2,4,1] => ([(4,7),(5,6),(5,7)],8)
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]] => [4,7,6,8,5,3,2,1] => [8,7,6,3,5,2,1,4] => ([(3,7),(4,7),(5,6),(5,7)],8)
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]] => [4,6,7,8,5,3,2,1] => [8,7,6,2,5,1,3,4] => ([(3,7),(4,5),(4,7),(7,6)],8)
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]] => [5,4,7,8,6,3,2,1] => [8,7,6,3,2,5,1,4] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]] => [4,5,8,7,6,3,2,1] => [8,7,6,3,4,5,2,1] => ([(5,6),(6,7)],8)
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]] => [6,5,4,8,7,3,2,1] => [8,7,6,4,3,2,5,1] => ([(4,7),(5,7),(6,7)],8)
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]] => [4,6,5,8,7,3,2,1] => [8,7,6,3,4,2,5,1] => ([(4,7),(5,6),(6,7)],8)
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]] => [4,5,6,8,7,3,2,1] => [8,7,6,2,3,4,5,1] => ([(4,5),(5,7),(7,6)],8)
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [8,7,6,4,3,2,1,5] => ([(3,7),(4,7),(5,7),(6,7)],8)
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]] => [6,7,5,4,8,3,2,1] => [8,7,6,4,3,1,2,5] => ([(3,7),(4,7),(5,6),(6,7)],8)
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]] => [5,7,6,4,8,3,2,1] => [8,7,6,4,2,3,1,5] => ([(3,7),(4,7),(5,6),(6,7)],8)
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [8,7,6,4,2,1,3,5] => ([(3,7),(4,6),(5,6),(6,7)],8)
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]] => [5,6,7,4,8,3,2,1] => [8,7,6,4,1,2,3,5] => ([(3,7),(4,5),(5,6),(6,7)],8)
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [8,7,6,3,4,2,1,5] => ([(3,7),(4,7),(5,6),(6,7)],8)
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => [8,7,6,2,4,1,3,5] => ([(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [8,7,6,3,2,4,1,5] => ([(3,7),(4,6),(5,6),(6,7)],8)
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [8,7,6,2,3,4,1,5] => ([(3,7),(4,5),(5,6),(6,7)],8)
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]] => [6,5,4,7,8,3,2,1] => [8,7,6,3,2,1,4,5] => ([(3,7),(4,7),(5,7),(7,6)],8)
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]] => [5,6,4,7,8,3,2,1] => [8,7,6,3,1,2,4,5] => ([(3,7),(4,5),(5,7),(7,6)],8)
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]] => [4,6,5,7,8,3,2,1] => [8,7,6,2,3,1,4,5] => ([(3,7),(4,5),(5,7),(7,6)],8)
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]] => [5,4,6,7,8,3,2,1] => [8,7,6,2,1,3,4,5] => ([(3,7),(4,7),(5,6),(7,5)],8)
[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => [8,7,6,1,2,3,4,5] => ([(3,4),(4,7),(6,5),(7,6)],8)
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]] => [3,8,7,6,5,4,2,1] => [8,7,5,6,4,3,2,1] => ([(6,7)],8)
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => [8,7,4,6,5,3,1,2] => ([(3,7),(4,5),(4,6)],8)
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => [8,7,4,6,5,2,3,1] => ([(3,7),(4,5),(4,6)],8)
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]] => [3,7,6,8,5,4,2,1] => [8,7,4,6,5,2,1,3] => ([(2,7),(3,7),(4,5),(4,6)],8)
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => [8,7,4,6,3,5,2,1] => ([(4,7),(5,6),(5,7)],8)
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => [8,7,3,6,2,5,1,4] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]] => [3,7,6,5,8,4,2,1] => [8,7,4,6,3,2,1,5] => ([(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]] => [3,5,7,6,8,4,2,1] => [8,7,3,6,2,4,1,5] => ([(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => [8,7,2,6,1,3,4,5] => ([(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => [8,7,5,4,6,3,2,1] => ([(5,7),(6,7)],8)
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]] => [4,3,7,8,6,5,2,1] => [8,7,4,3,6,5,1,2] => ([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => [8,7,3,2,6,1,4,5] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]] => [3,4,8,7,6,5,2,1] => [8,7,4,5,6,3,2,1] => ([(5,6),(6,7)],8)
[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => [8,7,2,3,6,1,4,5] => ([(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]] => [5,4,3,8,7,6,2,1] => [8,7,5,4,3,6,2,1] => ([(4,7),(5,7),(6,7)],8)
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => [8,7,4,3,2,6,1,5] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]] => [4,5,3,7,8,6,2,1] => [8,7,4,2,3,6,1,5] => ([(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]] => [4,3,5,7,8,6,2,1] => [8,7,3,2,4,6,1,5] => ([(2,7),(3,7),(4,6),(7,5),(7,6)],8)
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => [8,7,3,4,5,6,2,1] => ([(4,5),(5,7),(7,6)],8)
[.,[.,[[[[.,.],.],.],[[.,.],.]]]] => [3,4,5,7,8,6,2,1] => [8,7,2,3,4,6,1,5] => ([(2,4),(3,7),(4,6),(6,5),(6,7)],8)
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => [8,7,5,4,3,2,6,1] => ([(3,7),(4,7),(5,7),(6,7)],8)
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => [8,7,5,4,2,3,6,1] => ([(3,7),(4,7),(5,6),(6,7)],8)
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => [8,7,4,3,5,2,6,1] => ([(3,7),(4,6),(5,6),(6,7)],8)
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]] => [5,4,3,6,8,7,2,1] => [8,7,4,3,2,5,6,1] => ([(3,7),(4,7),(5,7),(7,6)],8)
[.,[.,[[[[[.,.],.],.],.],[.,.]]]] => [3,4,5,6,8,7,2,1] => [8,7,2,3,4,5,6,1] => ([(3,4),(4,7),(6,5),(7,6)],8)
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]] => [7,6,5,4,3,8,2,1] => [8,7,5,4,3,2,1,6] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]] => [6,7,5,4,3,8,2,1] => [8,7,5,4,3,1,2,6] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]] => [5,6,7,4,3,8,2,1] => [8,7,5,4,1,2,3,6] => ([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]] => [4,7,6,5,3,8,2,1] => [8,7,5,3,4,2,1,6] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]] => [5,4,7,6,3,8,2,1] => [8,7,5,3,2,4,1,6] => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]] => [6,5,4,7,3,8,2,1] => [8,7,5,3,2,1,4,6] => ([(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => [8,7,5,2,1,3,4,6] => ([(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => [8,7,5,1,2,3,4,6] => ([(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [8,7,4,5,3,2,1,6] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]] => [3,5,7,6,4,8,2,1] => [8,7,3,5,2,4,1,6] => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[.,[.,[[[.,.],[[[.,.],.],.]],.]]] => [3,5,6,7,4,8,2,1] => [8,7,2,5,1,3,4,6] => ([(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [8,7,3,4,5,2,1,6] => ([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]] => [3,5,4,7,6,8,2,1] => [8,7,3,4,2,5,1,6] => ([(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[.,[.,[[[[[.,.],.],.],[.,.]],.]]] => [3,4,5,7,6,8,2,1] => [8,7,2,3,4,5,1,6] => ([(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]] => [6,5,4,3,7,8,2,1] => [8,7,4,3,2,1,5,6] => ([(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[.,[.,[[[.,[[[.,.],.],.]],.],.]]] => [4,5,6,3,7,8,2,1] => [8,7,4,1,2,3,5,6] => ([(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]] => [3,6,5,4,7,8,2,1] => [8,7,3,4,2,1,5,6] => ([(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[.,[.,[[[[.,.],[[.,.],.]],.],.]]] => [3,5,6,4,7,8,2,1] => [8,7,2,4,1,3,5,6] => ([(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]] => [4,3,6,5,7,8,2,1] => [8,7,3,2,4,1,5,6] => ([(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [8,7,2,3,4,1,5,6] => ([(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]] => [5,4,3,6,7,8,2,1] => [8,7,3,2,1,4,5,6] => ([(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[.,[.,[[[[[.,.],[.,.]],.],.],.]]] => [3,5,4,6,7,8,2,1] => [8,7,2,3,1,4,5,6] => ([(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => [8,7,2,1,3,4,5,6] => ([(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => [8,7,1,2,3,4,5,6] => ([(2,7),(4,6),(5,4),(6,3),(7,5)],8)
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]] => [2,8,7,6,5,4,3,1] => [8,6,7,5,4,3,2,1] => ([(6,7)],8)
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => [8,5,7,6,4,3,1,2] => ([(3,7),(4,5),(4,6)],8)
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => [8,5,7,6,4,2,3,1] => ([(3,7),(4,5),(4,6)],8)
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [8,5,7,6,4,2,1,3] => ([(2,7),(3,7),(4,5),(4,6)],8)
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]] => [2,6,7,8,5,4,3,1] => [8,4,7,6,5,1,2,3] => ([(1,7),(2,4),(2,5),(2,6),(7,3)],8)
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]] => [2,6,7,5,8,4,3,1] => [8,4,7,6,3,1,2,5] => ([(1,7),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]] => [2,6,5,7,8,4,3,1] => [8,4,7,6,2,1,3,5] => ([(1,6),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [8,3,7,6,1,2,4,5] => ([(1,5),(2,3),(2,4),(2,7),(5,7),(7,6)],8)
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]] => [2,4,8,7,6,5,3,1] => [8,5,7,4,6,3,2,1] => ([(4,7),(5,6),(5,7)],8)
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [8,4,7,3,6,5,1,2] => ([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => [8,4,7,3,6,2,5,1] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[.,[[.,.],[[.,.],[[[.,.],.],.]]]] => [2,4,6,7,8,5,3,1] => [8,3,7,2,6,1,4,5] => ([(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(7,5)],8)
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]] => [2,5,4,8,7,6,3,1] => [8,5,7,4,3,6,2,1] => ([(3,7),(4,7),(5,6),(5,7)],8)
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]] => [2,5,4,7,8,6,3,1] => [8,4,7,3,2,6,1,5] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[.,[[.,.],[[[.,.],.],[[.,.],.]]]] => [2,4,5,7,8,6,3,1] => [8,3,7,2,4,6,1,5] => ([(1,7),(2,6),(3,5),(3,7),(7,4),(7,6)],8)
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [8,5,7,4,3,2,6,1] => ([(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => [8,4,7,5,2,3,6,1] => ([(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => [8,4,7,3,5,2,6,1] => ([(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[.,[[.,.],[[[[.,.],.],.],[.,.]]]] => [2,4,5,6,8,7,3,1] => [8,3,7,2,4,5,6,1] => ([(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]] => [2,7,6,5,4,8,3,1] => [8,5,7,4,3,2,1,6] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[.,[[.,.],[[.,[[[.,.],.],.]],.]]] => [2,5,6,7,4,8,3,1] => [8,3,7,5,1,2,4,6] => ([(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]] => [2,4,7,6,5,8,3,1] => [8,4,7,3,5,2,1,6] => ([(1,7),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[.,[[.,.],[[[.,.],[[.,.],.]],.]]] => [2,4,6,7,5,8,3,1] => [8,3,7,2,5,1,4,6] => ([(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]] => [2,5,4,7,6,8,3,1] => [8,4,7,3,2,5,1,6] => ([(1,7),(2,7),(3,6),(4,5),(4,7),(7,6)],8)
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]] => [2,6,5,4,7,8,3,1] => [8,4,7,3,2,1,5,6] => ([(1,7),(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[.,[[.,.],[[[.,[[.,.],.]],.],.]]] => [2,5,6,4,7,8,3,1] => [8,3,7,4,1,2,5,6] => ([(1,5),(2,3),(2,4),(4,7),(5,7),(7,6)],8)
[.,[[.,.],[[[[.,.],[.,.]],.],.]]] => [2,4,6,5,7,8,3,1] => [8,3,7,2,4,1,5,6] => ([(1,7),(2,6),(3,5),(3,6),(6,7),(7,4)],8)
[.,[[.,.],[[[[.,[.,.]],.],.],.]]] => [2,5,4,6,7,8,3,1] => [8,3,7,2,1,4,5,6] => ([(1,7),(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]] => [3,2,8,7,6,5,4,1] => [8,6,5,7,4,3,2,1] => ([(5,7),(6,7)],8)
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]] => [3,2,7,8,6,5,4,1] => [8,5,4,7,6,3,1,2] => ([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => [8,4,3,7,2,6,1,5] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]] => [3,2,6,7,5,8,4,1] => [8,4,3,7,5,1,2,6] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[.,[[.,[.,.]],[[[[.,.],.],.],.]]] => [3,2,5,6,7,8,4,1] => [8,3,2,7,1,4,5,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]] => [2,3,8,7,6,5,4,1] => [8,5,6,7,4,3,2,1] => ([(5,6),(6,7)],8)
[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => [8,3,4,7,6,1,2,5] => ([(1,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]] => [2,3,5,8,7,6,4,1] => [8,4,5,7,3,6,2,1] => ([(3,7),(4,5),(5,6),(5,7)],8)
[.,[[[.,.],.],[[.,.],[[.,.],.]]]] => [2,3,5,7,8,6,4,1] => [8,3,4,7,2,6,1,5] => ([(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]] => [2,3,6,5,8,7,4,1] => [8,4,5,7,3,2,6,1] => ([(2,7),(3,7),(4,5),(5,6),(5,7)],8)
[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => [8,3,4,7,2,5,6,1] => ([(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => [8,2,3,7,1,4,5,6] => ([(1,7),(2,5),(5,4),(5,7),(6,3),(7,6)],8)
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]] => [4,3,2,8,7,6,5,1] => [8,6,5,4,7,3,2,1] => ([(4,7),(5,7),(6,7)],8)
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]] => [4,3,2,7,8,6,5,1] => [8,5,4,3,7,6,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [4,3,2,6,8,7,5,1] => [8,5,4,3,7,2,6,1] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]] => [3,4,2,8,7,6,5,1] => [8,6,4,5,7,3,2,1] => ([(4,7),(5,6),(6,7)],8)
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]] => [2,4,3,8,7,6,5,1] => [8,5,6,4,7,3,2,1] => ([(4,7),(5,6),(6,7)],8)
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => [8,4,5,3,7,2,6,1] => ([(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]] => [2,3,4,8,7,6,5,1] => [8,4,5,6,7,3,2,1] => ([(4,5),(5,7),(7,6)],8)
[.,[[[[.,.],.],.],[.,[[.,.],.]]]] => [2,3,4,7,8,6,5,1] => [8,3,4,5,7,6,1,2] => ([(1,5),(2,6),(6,7),(7,3),(7,4)],8)
[.,[[[[.,.],.],.],[[.,[.,.]],.]]] => [2,3,4,7,6,8,5,1] => [8,3,4,5,7,2,1,6] => ([(1,4),(2,7),(3,7),(4,6),(6,5),(6,7)],8)
[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => [8,2,3,4,7,1,5,6] => ([(1,7),(2,5),(5,6),(6,3),(6,7),(7,4)],8)
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]] => [5,4,3,2,8,7,6,1] => [8,6,5,4,3,7,2,1] => ([(3,7),(4,7),(5,7),(6,7)],8)
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]] => [5,4,3,2,7,8,6,1] => [8,5,4,3,2,7,1,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]] => [3,5,4,2,7,8,6,1] => [8,5,3,4,2,7,1,6] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]] => [4,3,5,2,8,7,6,1] => [8,6,4,3,5,7,2,1] => ([(3,7),(4,6),(5,6),(6,7)],8)
[.,[[[.,.],[[.,.],.]],[[.,.],.]]] => [2,4,5,3,7,8,6,1] => [8,3,5,2,4,7,1,6] => ([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[.,[[[[.,.],.],[.,.]],[[.,.],.]]] => [2,3,5,4,7,8,6,1] => [8,3,4,5,2,7,1,6] => ([(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]] => [4,3,2,5,8,7,6,1] => [8,5,4,3,6,7,2,1] => ([(3,7),(4,7),(5,7),(7,6)],8)
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]] => [4,3,2,5,7,8,6,1] => [8,4,3,2,5,7,1,6] => ([(1,7),(2,7),(3,7),(4,6),(7,5),(7,6)],8)
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]] => [3,4,2,5,8,7,6,1] => [8,5,3,4,6,7,2,1] => ([(3,7),(4,5),(5,7),(7,6)],8)
[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => [8,4,2,3,5,7,1,6] => ([(1,7),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[.,[[[[.,[.,.]],.],.],[[.,.],.]]] => [3,2,4,5,7,8,6,1] => [8,3,2,4,5,7,1,6] => ([(1,7),(2,6),(3,6),(4,5),(4,7),(6,4)],8)
[.,[[[[[.,.],.],.],.],[.,[.,.]]]] => [2,3,4,5,8,7,6,1] => [8,3,4,5,6,7,2,1] => ([(3,4),(4,7),(6,5),(7,6)],8)
[.,[[[[[.,.],.],.],.],[[.,.],.]]] => [2,3,4,5,7,8,6,1] => [8,2,3,4,5,7,1,6] => ([(1,7),(2,5),(4,6),(5,4),(6,3),(6,7)],8)
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]] => [6,5,4,3,2,8,7,1] => [8,6,5,4,3,2,7,1] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]] => [4,6,5,3,2,8,7,1] => [8,6,5,3,4,2,7,1] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]] => [5,4,6,3,2,8,7,1] => [8,6,5,3,2,4,7,1] => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]] => [3,6,5,4,2,8,7,1] => [8,6,4,5,3,2,7,1] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]] => [4,3,6,5,2,8,7,1] => [8,6,4,3,5,2,7,1] => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]] => [5,4,3,6,2,8,7,1] => [8,6,4,3,2,5,7,1] => ([(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]] => [4,5,3,6,2,8,7,1] => [8,6,4,2,3,5,7,1] => ([(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[.,[[.,[[[[.,.],.],.],.]],[.,.]]] => [3,4,5,6,2,8,7,1] => [8,6,2,3,4,5,7,1] => ([(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]] => [2,6,5,4,3,8,7,1] => [8,5,6,4,3,2,7,1] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => [8,4,6,3,5,2,7,1] => ([(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[.,[[[.,.],[[[.,.],.],.]],[.,.]]] => [2,4,5,6,3,8,7,1] => [8,3,6,2,4,5,7,1] => ([(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]] => [3,2,6,5,4,8,7,1] => [8,5,4,6,3,2,7,1] => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]] => [4,3,2,6,5,8,7,1] => [8,5,4,3,6,2,7,1] => ([(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => [8,4,5,3,6,2,7,1] => ([(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]] => [3,2,4,6,5,8,7,1] => [8,4,3,5,6,2,7,1] => ([(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[.,[[[[[.,.],.],.],[.,.]],[.,.]]] => [2,3,4,6,5,8,7,1] => [8,3,4,5,6,2,7,1] => ([(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]] => [5,4,3,2,6,8,7,1] => [8,5,4,3,2,6,7,1] => ([(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]] => [4,5,3,2,6,8,7,1] => [8,5,4,2,3,6,7,1] => ([(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]] => [2,5,4,3,6,8,7,1] => [8,4,5,3,2,6,7,1] => ([(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]] => [4,3,2,5,6,8,7,1] => [8,4,3,2,5,6,7,1] => ([(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[.,[[[[.,[[.,.],.]],.],.],[.,.]]] => [3,4,2,5,6,8,7,1] => [8,4,2,3,5,6,7,1] => ([(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[.,[[[[[.,.],[.,.]],.],.],[.,.]]] => [2,4,3,5,6,8,7,1] => [8,3,4,2,5,6,7,1] => ([(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[.,[[[[[.,[.,.]],.],.],.],[.,.]]] => [3,2,4,5,6,8,7,1] => [8,3,2,4,5,6,7,1] => ([(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => [8,2,3,4,5,6,7,1] => ([(2,7),(4,6),(5,4),(6,3),(7,5)],8)
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => [8,6,5,4,3,2,1,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => [8,6,5,4,3,1,2,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]] => [5,7,6,4,3,2,8,1] => [8,6,5,4,2,3,1,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [8,6,5,4,2,1,3,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]] => [5,6,7,4,3,2,8,1] => [8,6,5,4,1,2,3,7] => ([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]] => [4,7,6,5,3,2,8,1] => [8,6,5,3,4,2,1,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => [8,6,5,2,4,1,3,7] => ([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]] => [6,5,4,7,3,2,8,1] => [8,6,5,3,2,1,4,7] => ([(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]] => [4,6,5,7,3,2,8,1] => [8,6,5,2,3,1,4,7] => ([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => [8,6,5,1,2,3,4,7] => ([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [8,6,3,5,2,4,1,7] => ([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => [8,6,2,5,1,3,4,7] => ([(1,7),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[.,[[.,[[[.,.],.],[[.,.],.]]],.]] => [3,4,6,7,5,2,8,1] => [8,6,2,3,5,1,4,7] => ([(1,7),(2,6),(3,4),(4,5),(4,6),(5,7),(6,7)],8)
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]] => [4,5,3,7,6,2,8,1] => [8,6,4,2,3,5,1,7] => ([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [8,6,4,3,2,1,5,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => [8,6,4,2,3,1,5,7] => ([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [8,6,4,2,1,3,5,7] => ([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[.,[[.,[[.,[[[.,.],.],.]],.]],.]] => [4,5,6,3,7,2,8,1] => [8,6,4,1,2,3,5,7] => ([(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [8,6,3,4,2,1,5,7] => ([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [8,6,2,4,1,3,5,7] => ([(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => [8,6,3,2,4,1,5,7] => ([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[.,[[.,[[[[.,.],.],[.,.]],.]],.]] => [3,4,6,5,7,2,8,1] => [8,6,2,3,4,1,5,7] => ([(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]] => [5,4,3,6,7,2,8,1] => [8,6,3,2,1,4,5,7] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(7,5)],8)
[.,[[.,[[[[[.,.],.],.],.],.]],.]] => [3,4,5,6,7,2,8,1] => [8,6,1,2,3,4,5,7] => ([(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [8,5,6,4,3,2,1,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => [8,3,6,5,1,2,4,7] => ([(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(6,7)],8)
[.,[[[.,.],[[.,.],[[.,.],.]]],.]] => [2,4,6,7,5,3,8,1] => [8,3,6,2,5,1,4,7] => ([(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[.,[[[.,.],[[[.,.],[.,.]],.]],.]] => [2,4,6,5,7,3,8,1] => [8,3,6,2,4,1,5,7] => ([(1,6),(2,5),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => [8,3,6,2,1,4,5,7] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]] => [3,2,6,7,5,4,8,1] => [8,4,3,6,5,1,2,7] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => [8,4,3,6,2,5,1,7] => ([(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => [8,4,3,6,2,1,5,7] => ([(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[.,[[[.,[.,.]],[[[.,.],.],.]],.]] => [3,2,5,6,7,4,8,1] => [8,3,2,6,1,4,5,7] => ([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [8,4,5,6,3,2,1,7] => ([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => [8,2,3,6,1,4,5,7] => ([(1,7),(2,3),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[.,[[[.,[[.,.],.]],[[.,.],.]],.]] => [3,4,2,6,7,5,8,1] => [8,4,2,3,6,1,5,7] => ([(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]] => [2,4,3,7,6,5,8,1] => [8,4,5,3,6,2,1,7] => ([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]] => [3,2,4,7,6,5,8,1] => [8,4,3,5,6,2,1,7] => ([(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[.,[[[[[.,.],.],.],[.,[.,.]]],.]] => [2,3,4,7,6,5,8,1] => [8,3,4,5,6,2,1,7] => ([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[.,[[[[[.,.],.],.],[[.,.],.]],.]] => [2,3,4,6,7,5,8,1] => [8,2,3,4,6,1,5,7] => ([(1,3),(2,6),(3,5),(4,7),(5,4),(5,6),(6,7)],8)
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]] => [5,4,3,2,7,6,8,1] => [8,5,4,3,2,6,1,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => [8,5,3,2,4,6,1,7] => ([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[.,[[[.,[[[.,.],.],.]],[.,.]],.]] => [3,4,5,2,7,6,8,1] => [8,5,2,3,4,6,1,7] => ([(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => [8,4,3,5,2,6,1,7] => ([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[.,[[[[[.,.],[.,.]],.],[.,.]],.]] => [2,4,3,5,7,6,8,1] => [8,3,4,2,5,6,1,7] => ([(1,7),(2,6),(3,4),(4,7),(5,6),(7,5)],8)
[.,[[[[[.,[.,.]],.],.],[.,.]],.]] => [3,2,4,5,7,6,8,1] => [8,3,2,4,5,6,1,7] => ([(1,7),(2,7),(3,6),(4,5),(5,6),(7,4)],8)
[.,[[[[[[.,.],.],.],.],[.,.]],.]] => [2,3,4,5,7,6,8,1] => [8,2,3,4,5,6,1,7] => ([(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]] => [6,5,4,3,2,7,8,1] => [8,5,4,3,2,1,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]] => [5,4,6,3,2,7,8,1] => [8,5,4,2,1,3,6,7] => ([(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[.,[[[.,[.,[[[.,.],.],.]]],.],.]] => [4,5,6,3,2,7,8,1] => [8,5,4,1,2,3,6,7] => ([(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[.,[[[.,[[[.,.],.],[.,.]]],.],.]] => [3,4,6,5,2,7,8,1] => [8,5,2,3,4,1,6,7] => ([(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]] => [5,4,3,6,2,7,8,1] => [8,5,3,2,1,4,6,7] => ([(1,7),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[.,[[[.,[[[.,[.,.]],.],.]],.],.]] => [4,3,5,6,2,7,8,1] => [8,5,2,1,3,4,6,7] => ([(1,7),(2,6),(3,6),(5,7),(6,5),(7,4)],8)
[.,[[[.,[[[[.,.],.],.],.]],.],.]] => [3,4,5,6,2,7,8,1] => [8,5,1,2,3,4,6,7] => ([(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]] => [2,6,5,4,3,7,8,1] => [8,4,5,3,2,1,6,7] => ([(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[.,[[[[.,.],[[.,.],[.,.]]],.],.]] => [2,4,6,5,3,7,8,1] => [8,3,5,2,4,1,6,7] => ([(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[.,[[[[.,.],[[.,[.,.]],.]],.],.]] => [2,5,4,6,3,7,8,1] => [8,3,5,2,1,4,6,7] => ([(1,7),(2,7),(3,4),(3,7),(4,6),(6,5),(7,6)],8)
[.,[[[[.,[.,.]],[[.,.],.]],.],.]] => [3,2,5,6,4,7,8,1] => [8,3,2,5,1,4,6,7] => ([(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4),(7,6)],8)
[.,[[[[[.,.],.],[.,[.,.]]],.],.]] => [2,3,6,5,4,7,8,1] => [8,3,4,5,2,1,6,7] => ([(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[.,[[[[[.,.],.],[[.,.],.]],.],.]] => [2,3,5,6,4,7,8,1] => [8,2,3,5,1,4,6,7] => ([(1,7),(2,3),(3,5),(3,7),(5,6),(6,4),(7,6)],8)
[.,[[[[.,[[.,.],.]],[.,.]],.],.]] => [3,4,2,6,5,7,8,1] => [8,4,2,3,5,1,6,7] => ([(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8)
[.,[[[[[[.,.],.],.],[.,.]],.],.]] => [2,3,4,6,5,7,8,1] => [8,2,3,4,5,1,6,7] => ([(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]] => [5,4,3,2,6,7,8,1] => [8,4,3,2,1,5,6,7] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[.,[[[[.,[[.,.],[.,.]]],.],.],.]] => [3,5,4,2,6,7,8,1] => [8,4,2,3,1,5,6,7] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[.,[[[[.,[[.,[.,.]],.]],.],.],.]] => [4,3,5,2,6,7,8,1] => [8,4,2,1,3,5,6,7] => ([(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [8,4,1,2,3,5,6,7] => ([(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[.,[[[[[.,.],[.,[.,.]]],.],.],.]] => [2,5,4,3,6,7,8,1] => [8,3,4,2,1,5,6,7] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[.,[[[[[.,.],[[.,.],.]],.],.],.]] => [2,4,5,3,6,7,8,1] => [8,2,4,1,3,5,6,7] => ([(1,6),(2,3),(2,6),(3,7),(4,5),(6,7),(7,4)],8)
[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [8,2,3,4,1,5,6,7] => ([(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[.,[[[[[.,[.,[.,.]]],.],.],.],.]] => [4,3,2,5,6,7,8,1] => [8,3,2,1,4,5,6,7] => ([(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [8,3,1,2,4,5,6,7] => ([(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [8,2,3,1,4,5,6,7] => ([(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[.,[[[[[[.,[.,.]],.],.],.],.],.]] => [3,2,4,5,6,7,8,1] => [8,2,1,3,4,5,6,7] => ([(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8)
[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => [8,1,2,3,4,5,6,7] => ([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8)
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => [7,8,6,5,4,3,2,1] => ([(6,7)],8)
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => [6,8,7,5,4,3,1,2] => ([(3,7),(4,5),(4,6)],8)
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]] => [1,7,6,8,5,4,3,2] => [6,8,7,5,4,2,1,3] => ([(2,7),(3,7),(4,5),(4,6)],8)
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => [5,8,7,6,4,1,2,3] => ([(1,7),(2,4),(2,5),(2,6),(7,3)],8)
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]] => [1,5,8,7,6,4,3,2] => [6,8,7,5,3,4,2,1] => ([(3,7),(4,5),(4,6)],8)
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [6,8,7,5,3,2,4,1] => ([(2,7),(3,7),(4,5),(4,6)],8)
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]] => [1,7,6,5,8,4,3,2] => [6,8,7,5,3,2,1,4] => ([(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]] => [1,6,7,5,8,4,3,2] => [5,8,7,6,3,1,2,4] => ([(0,7),(1,6),(2,3),(2,4),(2,5),(6,7)],8)
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]] => [1,5,7,6,8,4,3,2] => [5,8,7,6,2,3,1,4] => ([(0,7),(1,6),(2,3),(2,4),(2,5),(6,7)],8)
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]] => [1,6,5,7,8,4,3,2] => [5,8,7,6,2,1,3,4] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(7,6)],8)
[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [4,8,7,6,1,2,3,5] => ([(0,6),(1,2),(1,3),(1,4),(1,7),(5,7),(6,5)],8)
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]] => [1,4,8,7,6,5,3,2] => [6,8,7,4,5,3,2,1] => ([(3,7),(4,5),(4,6)],8)
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]] => [1,4,6,8,7,5,3,2] => [5,8,7,3,6,2,4,1] => ([(1,6),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[[.,.],[.,[[.,.],[[[.,.],.],.]]]] => [1,4,6,7,8,5,3,2] => [4,8,7,2,6,1,3,5] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(2,7),(5,7)],8)
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [5,8,7,3,2,6,1,4] => ([(0,6),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(3,7)],8)
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]] => [1,4,5,8,7,6,3,2] => [5,8,7,3,4,6,2,1] => ([(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]] => [1,6,5,4,8,7,3,2] => [6,8,7,4,3,2,5,1] => ([(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]] => [1,4,6,5,8,7,3,2] => [5,8,7,3,4,2,6,1] => ([(1,7),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]] => [1,5,4,6,8,7,3,2] => [5,8,7,3,2,4,6,1] => ([(1,6),(2,6),(3,4),(3,5),(3,7),(6,7)],8)
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]] => [1,7,6,5,4,8,3,2] => [6,8,7,4,3,2,1,5] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[[.,.],[.,[[[.,.],[[.,.],.]],.]]] => [1,4,6,7,5,8,3,2] => [4,8,7,2,5,1,3,6] => ([(0,5),(1,5),(1,6),(2,3),(2,4),(2,6),(5,7),(6,7)],8)
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]] => [1,6,5,4,7,8,3,2] => [5,8,7,3,2,1,4,6] => ([(0,7),(1,7),(2,7),(3,4),(3,5),(3,6),(7,6)],8)
[[.,.],[.,[[[.,[[.,.],.]],.],.]]] => [1,5,6,4,7,8,3,2] => [4,8,7,3,1,2,5,6] => ([(0,7),(1,5),(2,3),(2,4),(2,7),(5,7),(7,6)],8)
[[.,.],[.,[[[[.,[.,.]],.],.],.]]] => [1,5,4,6,7,8,3,2] => [4,8,7,2,1,3,5,6] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(6,7),(7,3)],8)
[[.,.],[.,[[[[[.,.],.],.],.],.]]] => [1,4,5,6,7,8,3,2] => [3,8,7,1,2,4,5,6] => ([(0,5),(1,3),(1,4),(1,7),(5,7),(6,2),(7,6)],8)
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [6,8,5,7,4,3,2,1] => ([(4,7),(5,6),(5,7)],8)
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]] => [1,3,7,8,6,5,4,2] => [5,8,4,7,6,3,1,2] => ([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]] => [1,3,6,8,7,5,4,2] => [5,8,4,7,6,2,3,1] => ([(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[[.,.],[[.,.],[.,[[[.,.],.],.]]]] => [1,3,6,7,8,5,4,2] => [4,8,3,7,6,1,2,5] => ([(0,5),(0,6),(0,7),(1,4),(2,3),(2,5),(2,6),(2,7),(4,7)],8)
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]] => [1,3,5,8,7,6,4,2] => [5,8,4,7,3,6,2,1] => ([(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [4,8,3,7,2,6,1,5] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)
[[.,.],[[.,.],[[[.,.],.],[.,.]]]] => [1,3,5,6,8,7,4,2] => [4,8,3,7,2,5,6,1] => ([(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(7,5)],8)
[[.,.],[[.,.],[[.,[[.,.],.]],.]]] => [1,3,6,7,5,8,4,2] => [4,8,3,7,5,1,2,6] => ([(0,5),(0,6),(1,4),(2,3),(2,5),(2,6),(4,7),(6,7)],8)
[[.,.],[[.,.],[[[.,.],[.,.]],.]]] => [1,3,5,7,6,8,4,2] => [4,8,3,7,2,5,1,6] => ([(0,7),(1,6),(2,5),(2,7),(3,4),(3,5),(3,7),(7,6)],8)
[[.,.],[[.,.],[[[.,[.,.]],.],.]]] => [1,3,6,5,7,8,4,2] => [4,8,3,7,2,1,5,6] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(7,5)],8)
[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => [3,8,2,7,1,4,5,6] => ([(0,7),(1,6),(1,7),(2,3),(2,6),(2,7),(4,5),(7,4)],8)
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => [6,8,5,4,7,3,2,1] => ([(3,7),(4,7),(5,6),(5,7)],8)
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => [5,8,4,3,7,6,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(3,6),(3,7)],8)
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]] => [1,4,3,6,8,7,5,2] => [5,8,4,3,7,2,6,1] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]] => [1,4,3,7,6,8,5,2] => [5,8,4,3,7,2,1,6] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[.,.],[[.,[.,.]],[[[.,.],.],.]]] => [1,4,3,6,7,8,5,2] => [4,8,3,2,7,1,5,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(7,5)],8)
[[.,.],[[[.,.],.],[[[.,.],.],.]]] => [1,3,4,6,7,8,5,2] => [3,8,2,4,7,1,5,6] => ([(0,7),(1,6),(2,3),(2,6),(6,4),(6,7),(7,5)],8)
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]] => [1,5,4,3,8,7,6,2] => [6,8,5,4,3,7,2,1] => ([(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]] => [1,4,5,3,8,7,6,2] => [5,8,6,3,4,7,2,1] => ([(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[[.,.],[[[.,.],[.,.]],[[.,.],.]]] => [1,3,5,4,7,8,6,2] => [4,8,3,5,2,7,1,6] => ([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(5,6),(5,7)],8)
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]] => [1,4,3,5,8,7,6,2] => [5,8,4,3,6,7,2,1] => ([(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[[.,.],[[[[.,.],.],.],[.,[.,.]]]] => [1,3,4,5,8,7,6,2] => [4,8,3,5,6,7,2,1] => ([(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [6,8,5,4,3,2,7,1] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]] => [1,3,6,5,4,8,7,2] => [5,8,4,6,3,2,7,1] => ([(1,7),(2,7),(3,6),(4,5),(4,6),(6,7)],8)
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => [5,8,4,3,6,2,7,1] => ([(1,7),(2,7),(3,6),(4,5),(4,7),(7,6)],8)
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]] => [1,5,4,3,6,8,7,2] => [5,8,4,3,2,6,7,1] => ([(1,7),(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[[.,.],[[[[[.,.],.],.],.],[.,.]]] => [1,3,4,5,6,8,7,2] => [3,8,2,4,5,6,7,1] => ([(1,7),(2,4),(2,7),(5,3),(6,5),(7,6)],8)
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]] => [1,7,6,5,4,3,8,2] => [6,8,5,4,3,2,1,7] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(5,7)],8)
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]] => [1,6,5,7,4,3,8,2] => [5,8,6,4,2,1,3,7] => ([(0,7),(1,6),(2,6),(3,4),(3,5),(5,7),(6,7)],8)
[[.,.],[[.,[.,[[[.,.],.],.]]],.]] => [1,5,6,7,4,3,8,2] => [4,8,6,5,1,2,3,7] => ([(0,6),(1,2),(1,4),(1,5),(3,7),(4,7),(5,7),(6,3)],8)
[[.,.],[[.,[[[.,.],[.,.]],.]],.]] => [1,4,6,5,7,3,8,2] => [4,8,6,2,3,1,5,7] => ([(0,7),(1,4),(2,3),(2,5),(2,7),(4,7),(5,6),(7,6)],8)
[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [4,8,6,2,1,3,5,7] => ([(0,5),(1,5),(2,3),(2,4),(2,6),(4,7),(5,6),(6,7)],8)
[[.,.],[[.,[[[[.,.],.],.],.]],.]] => [1,4,5,6,7,3,8,2] => [3,8,6,1,2,4,5,7] => ([(0,5),(1,2),(1,4),(1,7),(3,6),(4,6),(5,7),(7,3)],8)
[[.,.],[[[.,.],[[.,.],[.,.]]],.]] => [1,3,5,7,6,4,8,2] => [4,8,3,6,2,5,1,7] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(5,7),(6,7)],8)
[[.,.],[[[.,.],[[.,[.,.]],.]],.]] => [1,3,6,5,7,4,8,2] => [4,8,3,6,2,1,5,7] => ([(0,7),(1,7),(2,5),(2,7),(3,4),(3,5),(3,7),(5,6),(7,6)],8)
[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => [3,8,2,6,1,4,5,7] => ([(0,7),(1,5),(1,7),(2,3),(2,5),(2,7),(4,6),(5,6),(7,4)],8)
[[.,.],[[[.,[.,.]],[[.,.],.]],.]] => [1,4,3,6,7,5,8,2] => [4,8,3,2,6,1,5,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => [4,8,3,5,2,6,1,7] => ([(0,5),(1,6),(2,7),(3,4),(3,5),(5,7),(7,6)],8)
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]] => [1,6,5,4,3,7,8,2] => [5,8,4,3,2,1,6,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(4,7),(7,6)],8)
[[.,.],[[[.,[[.,[.,.]],.]],.],.]] => [1,5,4,6,3,7,8,2] => [4,8,5,2,1,3,6,7] => ([(0,6),(1,6),(2,3),(2,4),(4,7),(6,7),(7,5)],8)
[[.,.],[[[[.,[.,[.,.]]],.],.],.]] => [1,5,4,3,6,7,8,2] => [4,8,3,2,1,5,6,7] => ([(0,7),(1,7),(2,7),(3,4),(3,7),(5,6),(7,5)],8)
[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [3,8,2,1,4,5,6,7] => ([(0,7),(1,7),(2,4),(2,7),(5,3),(6,5),(7,6)],8)
[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [2,8,1,3,4,5,6,7] => ([(0,7),(1,3),(1,7),(4,5),(5,2),(6,4),(7,6)],8)
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => [7,6,8,5,4,3,2,1] => ([(5,7),(6,7)],8)
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => [6,5,8,7,4,3,1,2] => ([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => [6,5,8,7,4,2,3,1] => ([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => [6,5,8,7,4,2,1,3] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [5,4,8,7,6,1,2,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4)],8)
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]] => [2,1,5,8,7,6,4,3] => [6,5,8,7,3,4,2,1] => ([(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => [5,4,8,7,2,6,1,3] => ([(0,4),(1,4),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7)],8)
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => [6,5,8,7,3,2,4,1] => ([(1,5),(2,5),(3,6),(3,7),(4,6),(4,7)],8)
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]] => [2,1,5,6,8,7,4,3] => [5,4,8,7,2,3,6,1] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => [6,5,8,7,3,2,1,4] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6)],8)
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => [5,4,8,7,3,1,2,6] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]] => [2,1,5,7,6,8,4,3] => [5,4,8,7,2,3,1,6] => ([(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,7)],8)
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => [5,4,8,7,2,1,3,6] => ([(0,6),(1,6),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(6,7)],8)
[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [4,3,8,7,1,2,5,6] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,7),(7,4)],8)
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]] => [2,1,4,8,7,6,5,3] => [6,5,8,4,7,3,2,1] => ([(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => [5,4,8,3,7,6,1,2] => ([(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4)],8)
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => [5,4,8,3,7,2,6,1] => ([(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]] => [2,1,4,7,6,8,5,3] => [5,4,8,3,7,2,1,6] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[.,[.,.]],[[.,.],[[[.,.],.],.]]] => [2,1,4,6,7,8,5,3] => [4,3,8,2,7,1,5,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]] => [2,1,5,4,8,7,6,3] => [6,5,8,4,3,7,2,1] => ([(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]] => [2,1,5,4,7,8,6,3] => [5,4,8,3,2,7,1,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => [4,3,8,2,5,7,1,6] => ([(0,7),(1,6),(2,5),(2,7),(3,5),(3,7),(7,4),(7,6)],8)
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]] => [2,1,6,5,4,8,7,3] => [6,5,8,4,3,2,7,1] => ([(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => [5,4,8,6,2,3,7,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => [5,4,8,3,6,2,7,1] => ([(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(7,6)],8)
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]] => [2,1,5,4,6,8,7,3] => [5,4,8,3,2,6,7,1] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [4,3,8,2,5,6,7,1] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]] => [2,1,7,6,5,4,8,3] => [6,5,8,4,3,2,1,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]] => [2,1,6,7,5,4,8,3] => [5,4,8,6,3,1,2,7] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => [5,4,8,6,2,3,1,7] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(6,7)],8)
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => [5,4,8,6,2,1,3,7] => ([(0,5),(1,5),(2,4),(2,6),(3,4),(3,6),(5,7),(6,7)],8)
[[.,[.,.]],[[.,[[[.,.],.],.]],.]] => [2,1,5,6,7,4,8,3] => [4,3,8,6,1,2,5,7] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(2,3),(3,7),(5,6),(7,6)],8)
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]] => [2,1,4,7,6,5,8,3] => [5,4,8,3,6,2,1,7] => ([(0,7),(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(6,7)],8)
[[.,[.,.]],[[[.,.],[[.,.],.]],.]] => [2,1,4,6,7,5,8,3] => [4,3,8,2,6,1,5,7] => ([(0,7),(1,6),(1,7),(2,4),(2,6),(2,7),(3,4),(3,6),(3,7),(6,5),(7,5)],8)
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => [5,4,8,3,2,6,1,7] => ([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(7,6)],8)
[[.,[.,.]],[[[.,[[.,.],.]],.],.]] => [2,1,5,6,4,7,8,3] => [4,3,8,5,1,2,6,7] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,7),(6,7),(7,4)],8)
[[.,[.,.]],[[[[.,[.,.]],.],.],.]] => [2,1,5,4,6,7,8,3] => [4,3,8,2,1,5,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => [3,2,8,1,4,5,6,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,4),(7,3)],8)
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,8,7,6,5,4,3] => [6,7,8,5,4,3,2,1] => ([(5,6),(6,7)],8)
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]] => [1,2,7,8,6,5,4,3] => [5,6,8,7,4,3,1,2] => ([(2,4),(3,5),(5,6),(5,7)],8)
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]] => [1,2,7,6,8,5,4,3] => [5,6,8,7,4,2,1,3] => ([(1,4),(2,7),(3,7),(4,5),(4,6)],8)
[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [4,5,8,7,6,1,2,3] => ([(0,7),(1,6),(6,5),(7,2),(7,3),(7,4)],8)
[[[.,.],.],[.,[[[.,.],.],[.,.]]]] => [1,2,5,6,8,7,4,3] => [4,5,8,7,2,3,6,1] => ([(1,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [5,6,8,7,3,2,1,4] => ([(0,4),(1,7),(2,7),(3,7),(4,5),(4,6)],8)
[[[.,.],.],[.,[[[.,.],[.,.]],.]]] => [1,2,5,7,6,8,4,3] => [4,5,8,7,2,3,1,6] => ([(0,7),(1,5),(2,6),(5,7),(6,3),(6,4),(6,7)],8)
[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => [3,4,8,7,1,2,5,6] => ([(0,5),(1,6),(5,7),(6,2),(6,3),(6,7),(7,4)],8)
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]] => [1,2,4,8,7,6,5,3] => [5,6,8,4,7,3,2,1] => ([(3,7),(4,5),(5,6),(5,7)],8)
[[[.,.],.],[[.,.],[.,[[.,.],.]]]] => [1,2,4,7,8,6,5,3] => [4,5,8,3,7,6,1,2] => ([(0,6),(0,7),(1,3),(2,4),(4,5),(4,6),(4,7)],8)
[[[.,.],.],[[.,.],[[.,.],[.,.]]]] => [1,2,4,6,8,7,5,3] => [4,5,8,3,7,2,6,1] => ([(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[[[.,.],.],[[.,.],[[.,[.,.]],.]]] => [1,2,4,7,6,8,5,3] => [4,5,8,3,7,2,1,6] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => [3,4,8,2,7,1,5,6] => ([(0,7),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]] => [1,2,5,4,8,7,6,3] => [5,6,8,4,3,7,2,1] => ([(2,7),(3,7),(4,5),(5,6),(5,7)],8)
[[[.,.],.],[[.,[.,.]],[[.,.],.]]] => [1,2,5,4,7,8,6,3] => [4,5,8,3,2,7,1,6] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[[[.,.],.],[[[.,.],.],[.,[.,.]]]] => [1,2,4,5,8,7,6,3] => [4,5,8,3,6,7,2,1] => ([(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]] => [1,2,6,5,4,8,7,3] => [5,6,8,4,3,2,7,1] => ([(1,7),(2,7),(3,7),(4,5),(5,6),(5,7)],8)
[[[.,.],.],[[[[.,.],.],.],[.,.]]] => [1,2,4,5,6,8,7,3] => [3,4,8,2,5,6,7,1] => ([(1,7),(2,5),(5,4),(5,7),(6,3),(7,6)],8)
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]] => [1,2,7,6,5,4,8,3] => [5,6,8,4,3,2,1,7] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(5,7)],8)
[[[.,.],.],[[.,[[[.,.],.],.]],.]] => [1,2,5,6,7,4,8,3] => [3,4,8,6,1,2,5,7] => ([(0,4),(1,5),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[[[.,.],.],[[[.,[.,.]],[.,.]],.]] => [1,2,5,4,7,6,8,3] => [4,5,8,3,2,6,1,7] => ([(0,7),(1,7),(2,6),(3,4),(4,5),(4,7),(7,6)],8)
[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [4,5,8,3,2,1,6,7] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(4,7),(7,5)],8)
[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [3,4,8,2,1,5,6,7] => ([(0,7),(1,7),(2,5),(5,4),(5,7),(6,3),(7,6)],8)
[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [2,3,8,1,4,5,6,7] => ([(0,7),(1,5),(4,2),(5,3),(5,7),(6,4),(7,6)],8)
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => [7,6,5,8,4,3,2,1] => ([(4,7),(5,7),(6,7)],8)
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]] => [3,2,1,7,8,6,5,4] => [6,5,4,8,7,3,1,2] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]] => [3,2,1,6,8,7,5,4] => [6,5,4,8,7,2,3,1] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]] => [3,2,1,7,6,8,5,4] => [6,5,4,8,7,2,1,3] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5)],8)
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]] => [3,2,1,5,8,7,6,4] => [6,5,4,8,3,7,2,1] => ([(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => [5,4,3,8,2,7,1,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => [6,5,4,8,3,2,7,1] => ([(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]] => [3,2,1,5,6,8,7,4] => [5,4,3,8,2,6,7,1] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [6,5,4,8,3,2,1,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]] => [3,2,1,6,5,7,8,4] => [5,4,3,8,2,1,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[[.,[.,[.,.]]],[[[[.,.],.],.],.]] => [3,2,1,5,6,7,8,4] => [4,3,2,8,1,5,6,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [7,5,6,8,4,3,2,1] => ([(4,7),(5,6),(6,7)],8)
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]] => [2,3,1,7,8,6,5,4] => [6,4,5,8,7,3,1,2] => ([(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[[.,[[.,.],.]],[.,[[[.,.],.],.]]] => [2,3,1,6,7,8,5,4] => [5,3,4,8,7,1,2,6] => ([(0,5),(0,6),(0,7),(1,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => [6,4,5,8,3,2,7,1] => ([(1,7),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[[.,[[.,.],.]],[[[.,.],[.,.]],.]] => [2,3,1,5,7,6,8,4] => [5,3,4,8,2,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(7,5)],8)
[[.,[[.,.],.]],[[[[.,.],.],.],.]] => [2,3,1,5,6,7,8,4] => [4,2,3,8,1,5,6,7] => ([(0,7),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [6,7,5,8,4,3,2,1] => ([(4,7),(5,6),(6,7)],8)
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]] => [1,3,2,7,6,8,5,4] => [5,6,4,8,7,2,1,3] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(4,6),(4,7)],8)
[[[.,.],[.,.]],[.,[[[.,.],.],.]]] => [1,3,2,6,7,8,5,4] => [4,5,3,8,7,1,2,6] => ([(0,5),(0,6),(0,7),(1,3),(2,4),(3,7),(4,5),(4,6),(4,7)],8)
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]] => [1,3,2,5,8,7,6,4] => [5,6,4,8,3,7,2,1] => ([(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => [4,5,3,8,2,7,1,6] => ([(0,7),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]] => [1,3,2,7,6,5,8,4] => [5,6,4,8,3,2,1,7] => ([(0,7),(1,7),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[[[.,.],[.,.]],[[.,[[.,.],.]],.]] => [1,3,2,6,7,5,8,4] => [4,5,3,8,6,1,2,7] => ([(0,5),(0,6),(1,3),(2,4),(3,7),(4,5),(4,6),(6,7)],8)
[[[.,.],[.,.]],[[[.,.],[.,.]],.]] => [1,3,2,5,7,6,8,4] => [4,5,3,8,2,6,1,7] => ([(0,7),(1,6),(1,7),(2,5),(3,4),(4,6),(4,7),(7,5)],8)
[[[.,.],[.,.]],[[[.,[.,.]],.],.]] => [1,3,2,6,5,7,8,4] => [4,5,3,8,2,1,6,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => [3,4,2,8,1,5,6,7] => ([(0,7),(1,6),(1,7),(2,4),(3,5),(4,6),(4,7),(7,3)],8)
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]] => [2,1,3,8,7,6,5,4] => [6,5,7,8,4,3,2,1] => ([(4,7),(5,7),(7,6)],8)
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]] => [2,1,3,7,8,6,5,4] => [5,4,6,8,7,3,1,2] => ([(1,7),(2,7),(3,4),(7,5),(7,6)],8)
[[[.,[.,.]],.],[.,[[[.,.],.],.]]] => [2,1,3,6,7,8,5,4] => [4,3,5,8,7,1,2,6] => ([(0,6),(1,6),(2,3),(3,7),(6,4),(6,5),(6,7)],8)
[[[.,[.,.]],.],[[[[.,.],.],.],.]] => [2,1,3,5,6,7,8,4] => [3,2,4,8,1,5,6,7] => ([(0,7),(1,6),(2,6),(4,5),(6,3),(6,7),(7,4)],8)
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => [5,6,7,8,4,3,2,1] => ([(4,5),(5,7),(7,6)],8)
[[[[.,.],.],.],[.,[.,[[.,.],.]]]] => [1,2,3,7,8,6,5,4] => [4,5,6,8,7,3,1,2] => ([(1,5),(2,6),(6,7),(7,3),(7,4)],8)
[[[[.,.],.],.],[.,[[.,[.,.]],.]]] => [1,2,3,7,6,8,5,4] => [4,5,6,8,7,2,1,3] => ([(0,7),(1,7),(2,5),(5,6),(6,3),(6,4)],8)
[[[[.,.],.],.],[.,[[[.,.],.],.]]] => [1,2,3,6,7,8,5,4] => [3,4,5,8,7,1,2,6] => ([(0,4),(1,5),(4,7),(5,6),(6,2),(6,3),(6,7)],8)
[[[[.,.],.],.],[[.,.],[.,[.,.]]]] => [1,2,3,5,8,7,6,4] => [4,5,6,8,3,7,2,1] => ([(2,4),(3,7),(4,6),(6,5),(6,7)],8)
[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => [3,4,5,8,2,7,1,6] => ([(0,3),(1,7),(2,6),(2,7),(3,5),(5,4),(5,6),(5,7)],8)
[[[[.,.],.],.],[[[.,.],.],[.,.]]] => [1,2,3,5,6,8,7,4] => [3,4,5,8,2,6,7,1] => ([(1,7),(2,5),(5,6),(6,3),(6,7),(7,4)],8)
[[[[.,.],.],.],[[.,[.,[.,.]]],.]] => [1,2,3,7,6,5,8,4] => [4,5,6,8,3,2,1,7] => ([(0,4),(1,7),(2,7),(3,7),(4,6),(6,5),(6,7)],8)
[[[[.,.],.],.],[[.,[[.,.],.]],.]] => [1,2,3,6,7,5,8,4] => [3,4,5,8,6,1,2,7] => ([(0,4),(1,5),(3,7),(4,7),(5,6),(6,2),(6,3)],8)
[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [2,3,4,8,1,5,6,7] => ([(0,7),(1,4),(4,5),(5,2),(5,7),(6,3),(7,6)],8)
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [7,6,5,4,8,3,2,1] => ([(3,7),(4,7),(5,7),(6,7)],8)
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => [6,5,4,3,8,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5)],8)
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]] => [4,3,2,1,6,8,7,5] => [6,5,4,3,8,2,7,1] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]] => [4,3,2,1,7,6,8,5] => [6,5,4,3,8,2,1,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]] => [4,3,2,1,6,7,8,5] => [5,4,3,2,8,1,6,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8)
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [7,6,4,5,8,3,2,1] => ([(3,7),(4,7),(5,6),(6,7)],8)
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [6,5,3,4,8,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => [6,5,3,4,8,2,7,1] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]] => [3,4,2,1,7,6,8,5] => [6,5,3,4,8,2,1,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[[.,[.,[[.,.],.]]],[[[.,.],.],.]] => [3,4,2,1,6,7,8,5] => [5,4,2,3,8,1,6,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [7,5,6,4,8,3,2,1] => ([(3,7),(4,7),(5,6),(6,7)],8)
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => [6,4,5,3,8,7,1,2] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(3,5),(5,6),(5,7)],8)
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => [6,4,5,3,8,2,7,1] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [6,4,5,3,8,2,1,7] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [7,5,4,6,8,3,2,1] => ([(3,7),(4,6),(5,6),(6,7)],8)
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [6,4,3,5,8,7,1,2] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(5,6),(5,7)],8)
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [6,4,3,5,8,2,7,1] => ([(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => [6,4,3,5,8,2,1,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[[.,[[.,[.,.]],.]],[[[.,.],.],.]] => [3,2,4,1,6,7,8,5] => [5,3,2,4,8,1,6,7] => ([(0,7),(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [7,4,5,6,8,3,2,1] => ([(3,7),(4,5),(5,6),(6,7)],8)
[[.,[[[.,.],.],.]],[.,[[.,.],.]]] => [2,3,4,1,7,8,6,5] => [6,3,4,5,8,7,1,2] => ([(0,6),(0,7),(1,3),(2,4),(4,5),(5,6),(5,7)],8)
[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => [6,3,4,5,8,2,7,1] => ([(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[[.,[[[.,.],.],.]],[[.,[.,.]],.]] => [2,3,4,1,7,6,8,5] => [6,3,4,5,8,2,1,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [5,2,3,4,8,1,6,7] => ([(0,7),(1,6),(1,7),(2,3),(3,5),(5,6),(5,7),(7,4)],8)
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [6,7,5,4,8,3,2,1] => ([(3,7),(4,7),(5,6),(6,7)],8)
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]] => [1,4,3,2,6,8,7,5] => [5,6,4,3,8,2,7,1] => ([(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[[[.,.],[.,[.,.]]],[[[.,.],.],.]] => [1,4,3,2,6,7,8,5] => [4,5,3,2,8,1,6,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [5,7,4,6,8,3,2,1] => ([(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[[[.,.],[[.,.],.]],[.,[[.,.],.]]] => [1,3,4,2,7,8,6,5] => [4,6,3,5,8,7,1,2] => ([(0,5),(1,3),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7)],8)
[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [4,6,3,5,8,2,7,1] => ([(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[[[.,.],[[.,.],.]],[[.,[.,.]],.]] => [1,3,4,2,7,6,8,5] => [4,6,3,5,8,2,1,7] => ([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[[[.,.],[[.,.],.]],[[[.,.],.],.]] => [1,3,4,2,6,7,8,5] => [3,5,2,4,8,1,6,7] => ([(0,7),(1,5),(2,3),(2,5),(3,6),(3,7),(5,6),(5,7),(7,4)],8)
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [6,5,7,4,8,3,2,1] => ([(3,7),(4,6),(5,6),(6,7)],8)
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [5,4,6,3,8,7,1,2] => ([(0,5),(1,5),(2,6),(2,7),(3,4),(5,6),(5,7)],8)
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => [5,4,6,3,8,2,7,1] => ([(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => [5,4,6,3,8,2,1,7] => ([(0,7),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => [4,3,5,2,8,1,6,7] => ([(0,7),(1,6),(1,7),(2,5),(3,5),(5,6),(5,7),(7,4)],8)
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [5,6,7,4,8,3,2,1] => ([(3,7),(4,5),(5,6),(6,7)],8)
[[[[.,.],.],[.,.]],[.,[[.,.],.]]] => [1,2,4,3,7,8,6,5] => [4,5,6,3,8,7,1,2] => ([(0,6),(0,7),(1,3),(2,4),(4,5),(5,6),(5,7)],8)
[[[[.,.],.],[.,.]],[[.,.],[.,.]]] => [1,2,4,3,6,8,7,5] => [4,5,6,3,8,2,7,1] => ([(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[[[[.,.],.],[.,.]],[[.,[.,.]],.]] => [1,2,4,3,7,6,8,5] => [4,5,6,3,8,2,1,7] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [6,5,4,7,8,3,2,1] => ([(3,7),(4,7),(5,7),(7,6)],8)
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]] => [3,2,1,4,7,8,6,5] => [5,4,3,6,8,7,1,2] => ([(0,7),(1,7),(2,7),(3,4),(7,5),(7,6)],8)
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [6,4,5,7,8,3,2,1] => ([(3,7),(4,5),(5,7),(7,6)],8)
[[[.,[[.,.],.]],.],[[.,[.,.]],.]] => [2,3,1,4,7,6,8,5] => [5,3,4,6,8,2,1,7] => ([(0,7),(1,7),(2,6),(3,4),(4,6),(6,5),(6,7)],8)
[[[.,[[.,.],.]],.],[[[.,.],.],.]] => [2,3,1,4,6,7,8,5] => [4,2,3,5,8,1,6,7] => ([(0,7),(1,6),(2,3),(3,7),(6,5),(7,4),(7,6)],8)
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [5,6,4,7,8,3,2,1] => ([(3,7),(4,5),(5,7),(7,6)],8)
[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [4,5,3,6,8,2,7,1] => ([(1,7),(2,6),(3,4),(4,7),(7,5),(7,6)],8)
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [5,4,6,7,8,3,2,1] => ([(3,7),(4,7),(5,6),(7,5)],8)
[[[[.,[.,.]],.],.],[.,[[.,.],.]]] => [2,1,3,4,7,8,6,5] => [4,3,5,6,8,7,1,2] => ([(0,7),(1,7),(2,5),(6,3),(6,4),(7,6)],8)
[[[[.,[.,.]],.],.],[[[.,.],.],.]] => [2,1,3,4,6,7,8,5] => [3,2,4,5,8,1,6,7] => ([(0,7),(1,6),(2,6),(4,5),(4,7),(6,4),(7,3)],8)
[[[[[.,.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,8,7,6,5] => [4,5,6,7,8,3,2,1] => ([(3,4),(4,7),(6,5),(7,6)],8)
[[[[[.,.],.],.],.],[.,[[.,.],.]]] => [1,2,3,4,7,8,6,5] => [3,4,5,6,8,7,1,2] => ([(0,6),(1,4),(5,7),(6,5),(7,2),(7,3)],8)
[[[[[.,.],.],.],.],[[.,.],[.,.]]] => [1,2,3,4,6,8,7,5] => [3,4,5,6,8,2,7,1] => ([(1,7),(2,5),(4,6),(5,4),(6,3),(6,7)],8)
[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [2,3,4,5,8,1,6,7] => ([(0,7),(1,5),(4,6),(5,4),(6,2),(6,7),(7,3)],8)
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => [7,6,5,4,3,8,2,1] => ([(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => [6,5,4,3,2,8,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]] => [4,5,3,2,1,8,7,6] => [7,6,5,3,4,8,2,1] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]] => [3,5,4,2,1,7,8,6] => [6,5,3,4,2,8,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]] => [4,3,5,2,1,8,7,6] => [7,6,4,3,5,8,2,1] => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => [7,6,3,4,5,8,2,1] => ([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[.,[.,[[[.,.],.],.]]],[[.,.],.]] => [3,4,5,2,1,7,8,6] => [6,5,2,3,4,8,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]] => [2,5,4,3,1,8,7,6] => [7,5,6,4,3,8,2,1] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]] => [2,5,4,3,1,7,8,6] => [6,4,5,3,2,8,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => [6,3,5,2,4,8,1,7] => ([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => [7,5,4,6,3,8,2,1] => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => [6,4,3,5,2,8,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]] => [2,3,5,4,1,8,7,6] => [7,4,5,6,3,8,2,1] => ([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]] => [4,3,2,5,1,8,7,6] => [7,5,4,3,6,8,2,1] => ([(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]] => [4,3,2,5,1,7,8,6] => [6,4,3,2,5,8,1,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(7,5),(7,6)],8)
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]] => [3,4,2,5,1,8,7,6] => [7,5,3,4,6,8,2,1] => ([(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[.,[[.,[[.,.],.]],.]],[[.,.],.]] => [3,4,2,5,1,7,8,6] => [6,4,2,3,5,8,1,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(4,6),(6,5),(6,7)],8)
[[.,[[[[.,.],.],.],.]],[.,[.,.]]] => [2,3,4,5,1,8,7,6] => [7,3,4,5,6,8,2,1] => ([(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[.,[[[[.,.],.],.],.]],[[.,.],.]] => [2,3,4,5,1,7,8,6] => [6,2,3,4,5,8,1,7] => ([(0,3),(1,7),(2,6),(2,7),(3,5),(4,6),(4,7),(5,4)],8)
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]] => [1,5,4,3,2,8,7,6] => [6,7,5,4,3,8,2,1] => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]] => [1,5,4,3,2,7,8,6] => [5,6,4,3,2,8,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)
[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => [4,6,3,5,2,8,1,7] => ([(0,7),(1,6),(1,7),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]] => [1,4,3,5,2,8,7,6] => [5,7,4,3,6,8,2,1] => ([(2,7),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[[[.,.],[[[.,.],.],.]],[.,[.,.]]] => [1,3,4,5,2,8,7,6] => [4,7,3,5,6,8,2,1] => ([(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]] => [2,1,4,5,3,8,7,6] => [5,4,7,3,6,8,2,1] => ([(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]] => [1,2,5,4,3,8,7,6] => [5,6,7,4,3,8,2,1] => ([(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => [4,5,6,3,2,8,1,7] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)
[[[[.,.],.],[[.,.],.]],[.,[.,.]]] => [1,2,4,5,3,8,7,6] => [4,5,7,3,6,8,2,1] => ([(2,7),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => [4,5,3,6,2,8,1,7] => ([(0,6),(1,7),(2,5),(2,7),(3,4),(4,6),(6,5),(6,7)],8)
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [5,4,6,7,3,8,2,1] => ([(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[[[[.,[.,.]],.],[.,.]],[[.,.],.]] => [2,1,3,5,4,7,8,6] => [4,3,5,6,2,8,1,7] => ([(0,7),(1,6),(1,7),(2,5),(3,5),(4,6),(4,7),(5,4)],8)
[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [4,5,6,7,3,8,2,1] => ([(2,4),(3,7),(4,6),(5,7),(6,5)],8)
[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => [3,4,5,6,2,8,1,7] => ([(0,3),(1,7),(2,6),(2,7),(3,5),(4,6),(4,7),(5,4)],8)
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]] => [4,3,2,1,5,8,7,6] => [6,5,4,3,7,8,2,1] => ([(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]] => [4,3,2,1,5,7,8,6] => [5,4,3,2,6,8,1,7] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(7,5),(7,6)],8)
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]] => [3,4,2,1,5,8,7,6] => [6,5,3,4,7,8,2,1] => ([(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[[[.,[[.,[.,.]],.]],.],[[.,.],.]] => [3,2,4,1,5,7,8,6] => [5,3,2,4,6,8,1,7] => ([(0,7),(1,5),(2,5),(3,6),(5,7),(7,4),(7,6)],8)
[[[.,[[[.,.],.],.]],.],[.,[.,.]]] => [2,3,4,1,5,8,7,6] => [6,3,4,5,7,8,2,1] => ([(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[[[.,[[[.,.],.],.]],.],[[.,.],.]] => [2,3,4,1,5,7,8,6] => [5,2,3,4,6,8,1,7] => ([(0,7),(1,6),(2,4),(4,5),(5,7),(7,3),(7,6)],8)
[[[[.,.],[[.,.],.]],.],[.,[.,.]]] => [1,3,4,2,5,8,7,6] => [4,6,3,5,7,8,2,1] => ([(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => [3,5,2,4,6,8,1,7] => ([(0,5),(1,6),(2,3),(2,5),(3,7),(5,7),(7,4),(7,6)],8)
[[[[.,[.,.]],[.,.]],.],[[.,.],.]] => [2,1,4,3,5,7,8,6] => [4,3,5,2,6,8,1,7] => ([(0,7),(1,5),(2,5),(3,6),(5,7),(7,4),(7,6)],8)
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [5,4,3,6,7,8,2,1] => ([(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[[[[.,[.,[.,.]]],.],.],[[.,.],.]] => [3,2,1,4,5,7,8,6] => [4,3,2,5,6,8,1,7] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(7,4)],8)
[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [4,2,3,5,6,8,1,7] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(4,6),(7,4)],8)
[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [3,4,2,5,6,8,1,7] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(4,6),(7,4)],8)
[[[[[.,[.,.]],.],.],.],[.,[.,.]]] => [2,1,3,4,5,8,7,6] => [4,3,5,6,7,8,2,1] => ([(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[[[[[.,[.,.]],.],.],.],[[.,.],.]] => [2,1,3,4,5,7,8,6] => [3,2,4,5,6,8,1,7] => ([(0,7),(1,6),(2,6),(3,5),(5,4),(5,7),(6,3)],8)
[[[[[[.,.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,8,7,6] => [3,4,5,6,7,8,2,1] => ([(2,7),(4,6),(5,4),(6,3),(7,5)],8)
[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [2,3,4,5,6,8,1,7] => ([(0,7),(1,5),(3,4),(4,6),(5,3),(6,2),(6,7)],8)
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => [7,6,5,4,3,2,8,1] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => [7,6,5,4,2,3,8,1] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => [7,6,5,3,4,2,8,1] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => [7,6,5,3,2,4,8,1] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [7,6,5,2,3,4,8,1] => ([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]] => [3,6,5,4,2,1,8,7] => [7,6,4,5,3,2,8,1] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => [7,6,3,5,2,4,8,1] => ([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => [7,6,4,3,5,2,8,1] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]] => [3,4,6,5,2,1,8,7] => [7,6,3,4,5,2,8,1] => ([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => [7,6,4,2,3,5,8,1] => ([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => [7,6,3,2,4,5,8,1] => ([(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[[.,[.,[[[[.,.],.],.],.]]],[.,.]] => [3,4,5,6,2,1,8,7] => [7,6,2,3,4,5,8,1] => ([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]] => [2,6,5,4,3,1,8,7] => [7,5,6,4,3,2,8,1] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => [7,4,6,3,5,2,8,1] => ([(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]] => [3,2,5,6,4,1,8,7] => [7,4,3,6,2,5,8,1] => ([(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]] => [2,3,6,5,4,1,8,7] => [7,4,5,6,3,2,8,1] => ([(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]] => [4,3,2,6,5,1,8,7] => [7,5,4,3,6,2,8,1] => ([(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => [7,5,3,4,6,2,8,1] => ([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => [7,4,5,3,6,2,8,1] => ([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]] => [5,4,3,2,6,1,8,7] => [7,5,4,3,2,6,8,1] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]] => [4,5,3,2,6,1,8,7] => [7,5,4,2,3,6,8,1] => ([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => [7,5,3,2,4,6,8,1] => ([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[[.,[[.,[[[.,.],.],.]],.]],[.,.]] => [3,4,5,2,6,1,8,7] => [7,5,2,3,4,6,8,1] => ([(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => [7,4,3,5,2,6,8,1] => ([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]] => [4,3,2,5,6,1,8,7] => [7,4,3,2,5,6,8,1] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(7,5)],8)
[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => [7,2,3,4,5,6,8,1] => ([(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [6,7,5,4,3,2,8,1] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]] => [1,5,4,6,3,2,8,7] => [5,7,6,3,2,4,8,1] => ([(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [6,5,7,4,3,2,8,1] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [5,4,7,6,2,3,8,1] => ([(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => [5,4,7,3,6,2,8,1] => ([(1,7),(2,6),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => [5,4,7,3,2,6,8,1] => ([(1,7),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => [4,3,7,2,5,6,8,1] => ([(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [6,4,5,7,3,2,8,1] => ([(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[[[.,[.,.]],.],[[.,.],.]],[.,.]] => [2,1,3,5,6,4,8,7] => [4,3,5,7,2,6,8,1] => ([(1,6),(2,6),(3,5),(4,7),(5,7),(6,4),(6,5)],8)
[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [4,5,6,7,3,2,8,1] => ([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[[[[[.,.],.],.],[[.,.],.]],[.,.]] => [1,2,3,5,6,4,8,7] => [3,4,5,7,2,6,8,1] => ([(1,3),(2,6),(3,5),(4,7),(5,4),(5,6),(6,7)],8)
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [6,5,4,3,7,2,8,1] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [6,5,3,4,7,2,8,1] => ([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => [6,4,5,3,7,2,8,1] => ([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => [6,4,3,5,7,2,8,1] => ([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => [6,3,4,5,7,2,8,1] => ([(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[[[[.,.],[[.,.],.]],[.,.]],[.,.]] => [1,3,4,2,6,5,8,7] => [4,6,3,5,7,2,8,1] => ([(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [5,4,6,3,7,2,8,1] => ([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[[[[[.,.],.],[.,.]],[.,.]],[.,.]] => [1,2,4,3,6,5,8,7] => [4,5,6,3,7,2,8,1] => ([(1,7),(2,6),(3,4),(4,5),(5,6),(6,7)],8)
[[[[[.,.],[.,.]],.],[.,.]],[.,.]] => [1,3,2,4,6,5,8,7] => [4,5,3,6,7,2,8,1] => ([(1,7),(2,6),(3,4),(4,7),(5,6),(7,5)],8)
[[[[[[.,.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,6,5,8,7] => [3,4,5,6,7,2,8,1] => ([(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]] => [5,4,3,2,1,6,8,7] => [6,5,4,3,2,7,8,1] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]] => [4,5,3,2,1,6,8,7] => [6,5,4,2,3,7,8,1] => ([(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]] => [3,5,4,2,1,6,8,7] => [6,5,3,4,2,7,8,1] => ([(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]] => [4,3,5,2,1,6,8,7] => [6,5,3,2,4,7,8,1] => ([(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[[[.,[.,[[[.,.],.],.]]],.],[.,.]] => [3,4,5,2,1,6,8,7] => [6,5,2,3,4,7,8,1] => ([(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[[[.,[[.,.],[[.,.],.]]],.],[.,.]] => [2,4,5,3,1,6,8,7] => [6,3,5,2,4,7,8,1] => ([(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[[[.,[[[.,.],.],[.,.]]],.],[.,.]] => [2,3,5,4,1,6,8,7] => [6,3,4,5,2,7,8,1] => ([(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[[[.,[[[[.,.],.],.],.]],.],[.,.]] => [2,3,4,5,1,6,8,7] => [6,2,3,4,5,7,8,1] => ([(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[[[[.,.],[[.,.],[.,.]]],.],[.,.]] => [1,3,5,4,2,6,8,7] => [4,6,3,5,2,7,8,1] => ([(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]] => [2,1,5,4,3,6,8,7] => [5,4,6,3,2,7,8,1] => ([(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[[[[.,[.,.]],[[.,.],.]],.],[.,.]] => [2,1,4,5,3,6,8,7] => [4,3,6,2,5,7,8,1] => ([(1,7),(2,5),(2,7),(3,5),(3,7),(5,6),(6,4),(7,6)],8)
[[[[[.,.],.],[.,[.,.]]],.],[.,.]] => [1,2,5,4,3,6,8,7] => [4,5,6,3,2,7,8,1] => ([(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[[[[[.,[.,.]],.],[.,.]],.],[.,.]] => [2,1,3,5,4,6,8,7] => [4,3,5,6,2,7,8,1] => ([(1,7),(2,6),(3,6),(5,7),(6,5),(7,4)],8)
[[[[[[.,.],.],.],[.,.]],.],[.,.]] => [1,2,3,5,4,6,8,7] => [3,4,5,6,2,7,8,1] => ([(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]] => [4,3,2,1,5,6,8,7] => [5,4,3,2,6,7,8,1] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[[[[.,[.,[[.,.],.]]],.],.],[.,.]] => [3,4,2,1,5,6,8,7] => [5,4,2,3,6,7,8,1] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[[[[.,[[.,[.,.]],.]],.],.],[.,.]] => [3,2,4,1,5,6,8,7] => [5,3,2,4,6,7,8,1] => ([(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [5,2,3,4,6,7,8,1] => ([(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[[[[[.,.],[.,[.,.]]],.],.],[.,.]] => [1,4,3,2,5,6,8,7] => [4,5,3,2,6,7,8,1] => ([(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[[[[[.,.],[[.,.],.]],.],.],[.,.]] => [1,3,4,2,5,6,8,7] => [3,5,2,4,6,7,8,1] => ([(1,6),(2,3),(2,6),(3,7),(4,5),(6,7),(7,4)],8)
[[[[[.,[.,.]],[.,.]],.],.],[.,.]] => [2,1,4,3,5,6,8,7] => [4,3,5,2,6,7,8,1] => ([(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [3,4,5,2,6,7,8,1] => ([(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[[[[[.,[.,[.,.]]],.],.],.],[.,.]] => [3,2,1,4,5,6,8,7] => [4,3,2,5,6,7,8,1] => ([(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [4,2,3,5,6,7,8,1] => ([(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [3,4,2,5,6,7,8,1] => ([(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[[[[[[.,[.,.]],.],.],.],.],[.,.]] => [2,1,3,4,5,6,8,7] => [3,2,4,5,6,7,8,1] => ([(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8)
[[[[[[[.,.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,8,7] => [2,3,4,5,6,7,8,1] => ([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8)
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => [7,6,5,4,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => [7,6,5,4,3,1,2,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.] => [5,7,6,4,3,2,1,8] => [7,6,5,4,2,3,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => [7,6,5,4,2,1,3,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => [7,6,5,4,1,2,3,8] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.] => [4,7,6,5,3,2,1,8] => [7,6,5,3,4,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => [7,6,5,3,2,4,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.] => [4,5,7,6,3,2,1,8] => [7,6,5,2,3,4,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => [7,6,5,3,2,1,4,8] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.] => [4,6,5,7,3,2,1,8] => [7,6,5,2,3,1,4,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => [7,6,5,2,1,3,4,8] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => [7,6,5,1,2,3,4,8] => ([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.] => [3,5,7,6,4,2,1,8] => [7,6,3,5,2,4,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [7,6,4,3,5,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => [7,6,3,4,5,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [7,6,4,3,2,5,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.] => [4,5,3,7,6,2,1,8] => [7,6,4,2,3,5,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.] => [4,3,5,7,6,2,1,8] => [7,6,3,2,4,5,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8)
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => [7,6,4,3,2,1,5,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => [7,6,4,3,1,2,5,8] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => [7,6,4,2,1,3,5,8] => ([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.] => [3,6,5,4,7,2,1,8] => [7,6,3,4,2,1,5,8] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.] => [4,3,6,5,7,2,1,8] => [7,6,3,2,4,1,5,8] => ([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => [7,6,3,2,1,4,5,8] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(5,7),(6,5)],8)
[[.,[.,[[[[[.,.],.],.],.],.]]],.] => [3,4,5,6,7,2,1,8] => [7,6,1,2,3,4,5,8] => ([(0,7),(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.] => [2,7,6,5,4,3,1,8] => [7,5,6,4,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[.,[[.,.],[[.,.],[[.,.],.]]]],.] => [2,4,6,7,5,3,1,8] => [7,3,6,2,5,1,4,8] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[[.,[[.,.],[[[.,[.,.]],.],.]]],.] => [2,5,4,6,7,3,1,8] => [7,3,6,2,1,4,5,8] => ([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => [7,5,4,6,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.] => [3,2,6,5,7,4,1,8] => [7,4,3,6,2,1,5,8] => ([(0,7),(1,7),(2,6),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[[.,[[.,[.,.]],[[[.,.],.],.]]],.] => [3,2,5,6,7,4,1,8] => [7,3,2,6,1,4,5,8] => ([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.] => [2,3,7,6,5,4,1,8] => [7,4,5,6,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[.,[[[.,.],.],[[.,[.,.]],.]]],.] => [2,3,6,5,7,4,1,8] => [7,3,4,6,2,1,5,8] => ([(0,7),(1,7),(2,6),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[[.,[[[.,[.,.]],.],[[.,.],.]]],.] => [3,2,4,6,7,5,1,8] => [7,3,2,4,6,1,5,8] => ([(0,6),(1,6),(2,7),(3,5),(4,7),(5,7),(6,4),(6,5)],8)
[[.,[[[[.,.],.],.],[.,[.,.]]]],.] => [2,3,4,7,6,5,1,8] => [7,3,4,5,6,2,1,8] => ([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => [7,5,4,3,2,6,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.] => [3,5,4,2,7,6,1,8] => [7,5,3,4,2,6,1,8] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.] => [4,3,5,2,7,6,1,8] => [7,5,3,2,4,6,1,8] => ([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => [7,4,3,5,2,6,1,8] => ([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8)
[[.,[[[.,[[.,.],.]],.],[.,.]]],.] => [3,4,2,5,7,6,1,8] => [7,4,2,3,5,6,1,8] => ([(0,7),(1,7),(2,6),(3,4),(4,6),(5,7),(6,5)],8)
[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => [7,2,3,4,5,6,1,8] => ([(0,7),(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.] => [6,5,4,3,2,7,1,8] => [7,5,4,3,2,1,6,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => [7,5,4,3,1,2,6,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[.,[[.,[[[.,.],.],[.,.]]],.]],.] => [3,4,6,5,2,7,1,8] => [7,5,2,3,4,1,6,8] => ([(0,7),(1,7),(2,6),(3,4),(4,5),(5,7),(7,6)],8)
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.] => [5,4,3,6,2,7,1,8] => [7,5,3,2,1,4,6,8] => ([(0,6),(1,7),(2,7),(3,7),(4,5),(5,6),(7,5)],8)
[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => [7,5,3,1,2,4,6,8] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[.,[[.,[[[.,.],[.,.]],.]],.]],.] => [3,5,4,6,2,7,1,8] => [7,5,2,3,1,4,6,8] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => [7,5,1,2,3,4,6,8] => ([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[.,[[[.,.],[[.,[.,.]],.]],.]],.] => [2,5,4,6,3,7,1,8] => [7,3,5,2,1,4,6,8] => ([(0,7),(1,7),(2,5),(3,4),(3,7),(4,6),(6,5),(7,6)],8)
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.] => [3,2,6,5,4,7,1,8] => [7,4,3,5,2,1,6,8] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[[.,[[[.,[[.,.],.]],[.,.]],.]],.] => [3,4,2,6,5,7,1,8] => [7,4,2,3,5,1,6,8] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[.,[[[[[.,.],.],.],[.,.]],.]],.] => [2,3,4,6,5,7,1,8] => [7,2,3,4,5,1,6,8] => ([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.] => [5,4,3,2,6,7,1,8] => [7,4,3,2,1,5,6,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,5)],8)
[[.,[[[.,[[[.,.],.],.]],.],.]],.] => [3,4,5,2,6,7,1,8] => [7,4,1,2,3,5,6,8] => ([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[.,[[[[[.,.],.],[.,.]],.],.]],.] => [2,3,5,4,6,7,1,8] => [7,2,3,4,1,5,6,8] => ([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => [7,3,2,1,4,5,6,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(7,4)],8)
[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => [7,3,1,2,4,5,6,8] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[.,[[[[[.,.],[.,.]],.],.],.]],.] => [2,4,3,5,6,7,1,8] => [7,2,3,1,4,5,6,8] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [7,2,1,3,4,5,6,8] => ([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => [7,1,2,3,4,5,6,8] => ([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.] => [1,7,6,5,4,3,2,8] => [6,7,5,4,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.] => [1,6,5,7,4,3,2,8] => [5,7,6,4,2,1,3,8] => ([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.] => [1,4,7,6,5,3,2,8] => [5,7,6,3,4,2,1,8] => ([(0,7),(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.] => [1,5,4,7,6,3,2,8] => [5,7,6,3,2,4,1,8] => ([(0,7),(1,6),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
[[[.,.],[.,[[[.,.],[.,.]],.]]],.] => [1,4,6,5,7,3,2,8] => [4,7,6,2,3,1,5,8] => ([(0,6),(1,5),(2,3),(2,4),(2,6),(3,7),(4,7),(5,6),(6,7)],8)
[[[.,.],[.,[[[[.,.],.],.],.]]],.] => [1,4,5,6,7,3,2,8] => [3,7,6,1,2,4,5,8] => ([(0,5),(1,2),(1,3),(1,6),(2,7),(3,7),(4,7),(5,6),(6,4)],8)
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.] => [1,3,7,6,5,4,2,8] => [5,7,4,6,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(4,6),(5,7),(6,7)],8)
[[[.,.],[[.,.],[.,[[.,.],.]]]],.] => [1,3,6,7,5,4,2,8] => [4,7,3,6,5,1,2,8] => ([(0,5),(0,6),(1,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)
[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => [4,7,3,6,2,5,1,8] => ([(0,7),(1,6),(2,5),(2,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)
[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => [3,7,2,6,1,4,5,8] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(4,7),(5,7),(6,4)],8)
[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => [4,7,3,5,2,6,1,8] => ([(0,6),(1,7),(2,5),(3,4),(3,5),(4,7),(5,6),(6,7)],8)
[[[.,.],[[[.,[.,.]],.],[.,.]]],.] => [1,4,3,5,7,6,2,8] => [4,7,3,2,5,6,1,8] => ([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(5,7),(6,5)],8)
[[[.,.],[[.,[[.,[.,.]],.]],.]],.] => [1,5,4,6,3,7,2,8] => [4,7,5,2,1,3,6,8] => ([(0,5),(1,5),(2,3),(2,4),(3,7),(4,6),(5,6),(6,7)],8)
[[[.,.],[[.,[[[.,.],.],.]],.]],.] => [1,4,5,6,3,7,2,8] => [3,7,5,1,2,4,6,8] => ([(0,4),(1,2),(1,3),(1,5),(2,6),(3,7),(4,5),(5,7),(7,6)],8)
[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [4,7,3,5,2,1,6,8] => ([(0,7),(1,7),(2,5),(3,4),(3,5),(4,6),(5,7),(7,6)],8)
[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => [3,7,2,5,1,4,6,8] => ([(0,7),(1,4),(1,7),(2,3),(2,4),(2,7),(3,6),(4,5),(5,6),(7,5)],8)
[[[.,.],[[[.,[.,.]],[.,.]],.]],.] => [1,4,3,6,5,7,2,8] => [4,7,3,2,5,1,6,8] => ([(0,7),(1,7),(2,5),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[[[.,.],[[[[.,.],.],[.,.]],.]],.] => [1,3,4,6,5,7,2,8] => [3,7,2,4,5,1,6,8] => ([(0,5),(1,6),(2,3),(2,5),(3,7),(4,6),(5,4),(6,7)],8)
[[[.,.],[[[.,[.,[.,.]]],.],.]],.] => [1,5,4,3,6,7,2,8] => [4,7,3,2,1,5,6,8] => ([(0,7),(1,7),(2,7),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => [2,7,1,3,4,5,6,8] => ([(0,7),(1,3),(1,7),(2,6),(3,6),(4,5),(5,2),(7,4)],8)
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [6,5,7,4,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.] => [2,1,6,7,5,4,3,8] => [5,4,7,6,3,1,2,8] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[[[.,[.,.]],[[.,.],[[.,.],.]]],.] => [2,1,4,6,7,5,3,8] => [4,3,7,2,6,1,5,8] => ([(0,7),(1,5),(1,7),(2,4),(2,5),(2,7),(3,4),(3,5),(3,7),(4,6),(5,6),(7,6)],8)
[[[.,[.,.]],[[[.,[.,.]],.],.]],.] => [2,1,5,4,6,7,3,8] => [4,3,7,2,1,5,6,8] => ([(0,7),(1,7),(2,5),(2,7),(3,5),(3,7),(4,6),(5,6),(7,4)],8)
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.] => [1,2,7,6,5,4,3,8] => [5,6,7,4,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)
[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => [3,4,7,6,1,2,5,8] => ([(0,4),(1,5),(2,7),(3,7),(4,6),(5,2),(5,3),(5,6),(6,7)],8)
[[[[.,.],.],[[[.,.],[.,.]],.]],.] => [1,2,4,6,5,7,3,8] => [3,4,7,2,5,1,6,8] => ([(0,7),(1,5),(2,3),(3,4),(3,7),(4,6),(5,6),(7,5)],8)
[[[[.,.],.],[[[[.,.],.],.],.]],.] => [1,2,4,5,6,7,3,8] => [2,3,7,1,4,5,6,8] => ([(0,7),(1,5),(2,6),(3,6),(4,3),(5,2),(5,7),(7,4)],8)
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.] => [3,2,1,7,6,5,4,8] => [6,5,4,7,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8)
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.] => [3,2,1,6,7,5,4,8] => [5,4,3,7,6,1,2,8] => ([(0,5),(0,6),(1,5),(1,6),(2,5),(2,6),(3,4),(4,7),(5,7),(6,7)],8)
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.] => [3,2,1,5,7,6,4,8] => [5,4,3,7,2,6,1,8] => ([(0,6),(1,7),(2,5),(2,7),(3,5),(3,7),(4,5),(4,7),(5,6),(7,6)],8)
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.] => [3,2,1,6,5,7,4,8] => [5,4,3,7,2,1,6,8] => ([(0,7),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[[[.,[.,[.,.]]],[[[.,.],.],.]],.] => [3,2,1,5,6,7,4,8] => [4,3,2,7,1,5,6,8] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8)
[[[.,[[.,.],.]],[[.,[.,.]],.]],.] => [2,3,1,6,5,7,4,8] => [5,3,4,7,2,1,6,8] => ([(0,7),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.] => [1,3,2,7,6,5,4,8] => [5,6,4,7,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8)
[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => [4,5,3,7,2,6,1,8] => ([(0,7),(1,6),(2,5),(2,7),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => [3,4,2,7,1,5,6,8] => ([(0,7),(1,5),(1,7),(2,4),(3,6),(4,5),(4,7),(5,6),(7,3)],8)
[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [4,5,6,7,3,2,1,8] => ([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)
[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => [2,3,4,7,1,5,6,8] => ([(0,7),(1,5),(2,6),(3,6),(4,3),(4,7),(5,4),(7,2)],8)
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.] => [4,3,2,1,7,6,5,8] => [6,5,4,3,7,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,6)],8)
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.] => [4,3,2,1,6,7,5,8] => [5,4,3,2,7,1,6,8] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[[[.,[[.,[.,.]],.]],[[.,.],.]],.] => [3,2,4,1,6,7,5,8] => [5,3,2,4,7,1,6,8] => ([(0,4),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[[[.,[[[.,.],.],.]],[[.,.],.]],.] => [2,3,4,1,6,7,5,8] => [5,2,3,4,7,1,6,8] => ([(0,7),(1,5),(1,7),(2,3),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [5,6,4,3,7,2,1,8] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)
[[[[.,.],[.,[.,.]]],[[.,.],.]],.] => [1,4,3,2,6,7,5,8] => [4,5,3,2,7,1,6,8] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)
[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [3,5,2,4,7,1,6,8] => ([(0,7),(1,4),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[[[[.,[.,.]],[.,.]],[[.,.],.]],.] => [2,1,4,3,6,7,5,8] => [4,3,5,2,7,1,6,8] => ([(0,4),(1,4),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8)
[[[[[.,.],.],[.,.]],[[.,.],.]],.] => [1,2,4,3,6,7,5,8] => [3,4,5,2,7,1,6,8] => ([(0,7),(1,5),(1,7),(2,3),(3,4),(4,5),(4,7),(5,6),(7,6)],8)
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.] => [3,2,1,4,7,6,5,8] => [5,4,3,6,7,2,1,8] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(5,7),(6,5)],8)
[[[[[[.,.],.],.],.],[.,[.,.]]],.] => [1,2,3,4,7,6,5,8] => [3,4,5,6,7,2,1,8] => ([(0,7),(1,7),(2,6),(3,7),(4,5),(5,3),(6,4)],8)
[[[[[[.,.],.],.],.],[[.,.],.]],.] => [1,2,3,4,6,7,5,8] => [2,3,4,5,7,1,6,8] => ([(0,7),(1,5),(2,6),(3,4),(4,2),(4,7),(5,3),(7,6)],8)
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.] => [5,4,3,2,1,7,6,8] => [6,5,4,3,2,7,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[[[.,[[[.,.],.],[.,.]]],[.,.]],.] => [2,3,5,4,1,7,6,8] => [6,3,4,5,2,7,1,8] => ([(0,7),(1,7),(2,6),(3,4),(4,5),(5,7),(7,6)],8)
[[[.,[[.,[[.,.],.]],.]],[.,.]],.] => [3,4,2,5,1,7,6,8] => [6,4,2,3,5,7,1,8] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[[.,[[[[.,.],.],.],.]],[.,.]],.] => [2,3,4,5,1,7,6,8] => [6,2,3,4,5,7,1,8] => ([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => [5,6,4,3,2,7,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)
[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => [4,6,3,5,2,7,1,8] => ([(0,7),(1,5),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8)
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.] => [2,1,5,4,3,7,6,8] => [5,4,6,3,2,7,1,8] => ([(0,7),(1,7),(2,5),(3,5),(4,6),(5,7),(7,6)],8)
[[[[[.,.],.],[[.,.],.]],[.,.]],.] => [1,2,4,5,3,7,6,8] => [3,4,6,2,5,7,1,8] => ([(0,6),(1,7),(2,3),(3,4),(3,7),(4,5),(5,6),(7,5)],8)
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.] => [3,2,1,5,4,7,6,8] => [5,4,3,6,2,7,1,8] => ([(0,6),(1,7),(2,7),(3,7),(4,5),(5,6),(7,5)],8)
[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => [5,3,4,6,2,7,1,8] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => [4,5,3,6,2,7,1,8] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)
[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => [3,4,5,6,2,7,1,8] => ([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.] => [4,3,2,1,5,7,6,8] => [5,4,3,2,6,7,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,5)],8)
[[[[.,[[[.,.],.],.]],.],[.,.]],.] => [2,3,4,1,5,7,6,8] => [5,2,3,4,6,7,1,8] => ([(0,7),(1,6),(2,3),(3,5),(4,7),(5,6),(6,4)],8)
[[[[[.,[.,[.,.]]],.],.],[.,.]],.] => [3,2,1,4,5,7,6,8] => [4,3,2,5,6,7,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(7,4)],8)
[[[[[.,[[.,.],.]],.],.],[.,.]],.] => [2,3,1,4,5,7,6,8] => [4,2,3,5,6,7,1,8] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [3,4,2,5,6,7,1,8] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)
[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [3,2,4,5,6,7,1,8] => ([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8)
[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => [2,3,4,5,6,7,1,8] => ([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => [6,5,4,3,2,1,7,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(7,6)],8)
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => [6,5,4,3,1,2,7,8] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => [6,5,4,2,1,3,7,8] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8)
[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => [6,5,4,1,2,3,7,8] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => [6,5,3,4,2,1,7,8] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => [6,5,3,2,1,4,7,8] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(6,7),(7,5)],8)
[[[.,[[.,.],[[.,.],[.,.]]]],.],.] => [2,4,6,5,3,1,7,8] => [6,3,5,2,4,1,7,8] => ([(0,7),(1,7),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.] => [4,3,2,6,5,1,7,8] => [6,4,3,2,5,1,7,8] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(6,7),(7,5)],8)
[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => [6,2,3,4,5,1,7,8] => ([(0,7),(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => [6,4,3,2,1,5,7,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => [6,4,3,1,2,5,7,8] => ([(0,7),(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8)
[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => [6,4,2,1,3,5,7,8] => ([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => [6,4,1,2,3,5,7,8] => ([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => [6,1,2,3,4,5,7,8] => ([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.] => [1,6,5,4,3,2,7,8] => [5,6,4,3,2,1,7,8] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8)
[[[[.,.],[.,[.,[[.,.],.]]]],.],.] => [1,5,6,4,3,2,7,8] => [4,6,5,3,1,2,7,8] => ([(0,7),(1,5),(2,3),(2,4),(3,7),(4,7),(5,7),(7,6)],8)
[[[[.,.],[.,[[.,[.,.]],.]]],.],.] => [1,5,4,6,3,2,7,8] => [4,6,5,2,1,3,7,8] => ([(0,6),(1,6),(2,3),(2,4),(3,7),(4,7),(6,7),(7,5)],8)
[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => [3,6,2,5,1,4,7,8] => ([(0,6),(1,5),(1,6),(2,3),(2,5),(2,6),(3,7),(5,7),(6,7),(7,4)],8)
[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [4,6,3,2,5,1,7,8] => ([(0,7),(1,6),(2,6),(3,4),(3,6),(4,7),(6,7),(7,5)],8)
[[[[.,.],[[.,[[.,.],.]],.]],.],.] => [1,4,5,3,6,2,7,8] => [3,6,4,1,2,5,7,8] => ([(0,5),(1,3),(1,4),(3,7),(4,6),(5,6),(6,7),(7,2)],8)
[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => [2,6,1,3,4,5,7,8] => ([(0,6),(1,4),(1,6),(3,7),(4,7),(5,3),(6,5),(7,2)],8)
[[[[.,[.,.]],[.,[[.,.],.]]],.],.] => [2,1,5,6,4,3,7,8] => [4,3,6,5,1,2,7,8] => ([(0,5),(0,6),(1,5),(1,6),(2,3),(3,7),(5,7),(6,7),(7,4)],8)
[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [4,3,6,2,5,1,7,8] => ([(0,7),(1,6),(2,5),(2,6),(3,5),(3,6),(5,7),(6,7),(7,4)],8)
[[[[[.,.],.],[.,[.,[.,.]]]],.],.] => [1,2,6,5,4,3,7,8] => [4,5,6,3,2,1,7,8] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)
[[[[[.,.],.],[.,[[.,.],.]]],.],.] => [1,2,5,6,4,3,7,8] => [3,4,6,5,1,2,7,8] => ([(0,5),(1,6),(2,7),(3,7),(5,7),(6,2),(6,3),(7,4)],8)
[[[[[.,.],.],[[[.,.],.],.]],.],.] => [1,2,4,5,6,3,7,8] => [2,3,6,1,4,5,7,8] => ([(0,7),(1,5),(2,6),(3,6),(5,3),(5,7),(6,4),(7,2)],8)
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.] => [3,2,1,6,5,4,7,8] => [5,4,3,6,2,1,7,8] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(6,7),(7,5)],8)
[[[[.,[.,[.,.]]],[[.,.],.]],.],.] => [3,2,1,5,6,4,7,8] => [4,3,2,6,1,5,7,8] => ([(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)
[[[[[[.,.],.],.],[.,[.,.]]],.],.] => [1,2,3,6,5,4,7,8] => [3,4,5,6,2,1,7,8] => ([(0,7),(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)
[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => [2,3,4,6,1,5,7,8] => ([(0,6),(1,4),(2,7),(4,5),(5,2),(5,6),(6,7),(7,3)],8)
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.] => [4,3,2,1,6,5,7,8] => [5,4,3,2,6,1,7,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,6)],8)
[[[[.,[[.,[.,.]],.]],[.,.]],.],.] => [3,2,4,1,6,5,7,8] => [5,3,2,4,6,1,7,8] => ([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[[[.,[[[.,.],.],.]],[.,.]],.],.] => [2,3,4,1,6,5,7,8] => [5,2,3,4,6,1,7,8] => ([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[[[.,[.,.]],[.,.]],[.,.]],.],.] => [2,1,4,3,6,5,7,8] => [4,3,5,2,6,1,7,8] => ([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8)
[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [3,4,5,2,6,1,7,8] => ([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)
[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => [3,4,2,5,6,1,7,8] => ([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8)
[[[[[[.,[.,.]],.],.],[.,.]],.],.] => [2,1,3,4,6,5,7,8] => [3,2,4,5,6,1,7,8] => ([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8)
[[[[[[[.,.],.],.],.],[.,.]],.],.] => [1,2,3,4,6,5,7,8] => [2,3,4,5,6,1,7,8] => ([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8)
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => [5,4,3,2,1,6,7,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,5)],8)
[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => [5,4,3,1,2,6,7,8] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[[[[.,[.,[[.,.],[.,.]]]],.],.],.] => [3,5,4,2,1,6,7,8] => [5,4,2,3,1,6,7,8] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => [5,4,2,1,3,6,7,8] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => [5,4,1,2,3,6,7,8] => ([(0,7),(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[[[[.,[[.,.],[.,[.,.]]]],.],.],.] => [2,5,4,3,1,6,7,8] => [5,3,4,2,1,6,7,8] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[[[[.,[[.,.],[[.,.],.]]],.],.],.] => [2,4,5,3,1,6,7,8] => [5,2,4,1,3,6,7,8] => ([(0,7),(1,6),(2,3),(2,6),(3,7),(4,5),(6,7),(7,4)],8)
[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => [5,3,2,4,1,6,7,8] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [5,2,3,4,1,6,7,8] => ([(0,7),(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => [5,3,2,1,4,6,7,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(6,4),(7,6)],8)
[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => [5,3,1,2,4,6,7,8] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[[.,[[[.,.],[.,.]],.]],.],.],.] => [2,4,3,5,1,6,7,8] => [5,2,3,1,4,6,7,8] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => [5,2,1,3,4,6,7,8] => ([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [5,1,2,3,4,6,7,8] => ([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[.,.],[.,[.,[.,.]]]],.],.],.] => [1,5,4,3,2,6,7,8] => [4,5,3,2,1,6,7,8] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8)
[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => [3,5,4,1,2,6,7,8] => ([(0,5),(1,3),(1,4),(3,7),(4,7),(5,7),(6,2),(7,6)],8)
[[[[[.,.],[[.,.],[.,.]]],.],.],.] => [1,3,5,4,2,6,7,8] => [3,5,2,4,1,6,7,8] => ([(0,7),(1,6),(2,3),(2,6),(3,7),(4,5),(6,7),(7,4)],8)
[[[[[.,.],[[.,[.,.]],.]],.],.],.] => [1,4,3,5,2,6,7,8] => [3,5,2,1,4,6,7,8] => ([(0,7),(1,7),(2,3),(2,7),(3,6),(4,5),(6,4),(7,6)],8)
[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => [2,5,1,3,4,6,7,8] => ([(0,7),(1,4),(1,7),(3,6),(4,6),(5,2),(6,5),(7,3)],8)
[[[[[.,[.,.]],[.,[.,.]]],.],.],.] => [2,1,5,4,3,6,7,8] => [4,3,5,2,1,6,7,8] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8)
[[[[[.,[.,.]],[[.,.],.]],.],.],.] => [2,1,4,5,3,6,7,8] => [3,2,5,1,4,6,7,8] => ([(0,7),(1,5),(1,7),(2,5),(2,7),(3,4),(5,6),(6,3),(7,6)],8)
[[[[[[.,.],.],[.,[.,.]]],.],.],.] => [1,2,5,4,3,6,7,8] => [3,4,5,2,1,6,7,8] => ([(0,7),(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)
[[[[[[.,.],.],[[.,.],.]],.],.],.] => [1,2,4,5,3,6,7,8] => [2,3,5,1,4,6,7,8] => ([(0,7),(1,4),(3,6),(4,3),(4,7),(5,2),(6,5),(7,6)],8)
[[[[[.,[.,[.,.]]],[.,.]],.],.],.] => [3,2,1,5,4,6,7,8] => [4,3,2,5,1,6,7,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(6,4),(7,6)],8)
[[[[[.,[[.,.],.]],[.,.]],.],.],.] => [2,3,1,5,4,6,7,8] => [4,2,3,5,1,6,7,8] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => [3,4,2,5,1,6,7,8] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)
[[[[[[.,[.,.]],.],[.,.]],.],.],.] => [2,1,3,5,4,6,7,8] => [3,2,4,5,1,6,7,8] => ([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8)
[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [2,3,4,5,1,6,7,8] => ([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)
[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => [4,3,2,1,5,6,7,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8)
[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => [4,3,1,2,5,6,7,8] => ([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => [4,2,3,1,5,6,7,8] => ([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [4,2,1,3,5,6,7,8] => ([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => [4,1,2,3,5,6,7,8] => ([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[[.,.],[.,[.,.]]],.],.],.],.] => [1,4,3,2,5,6,7,8] => [3,4,2,1,5,6,7,8] => ([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8)
[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => [2,4,1,3,5,6,7,8] => ([(0,7),(1,3),(1,7),(3,6),(4,2),(5,4),(6,5),(7,6)],8)
[[[[[[.,[.,.]],[.,.]],.],.],.],.] => [2,1,4,3,5,6,7,8] => [3,2,4,1,5,6,7,8] => ([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8)
[[[[[[[.,.],.],[.,.]],.],.],.],.] => [1,2,4,3,5,6,7,8] => [2,3,4,1,5,6,7,8] => ([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8)
[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => [3,2,1,4,5,6,7,8] => ([(0,7),(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8)
[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => [3,1,2,4,5,6,7,8] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => [2,3,1,4,5,6,7,8] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)
[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => [2,1,3,4,5,6,7,8] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8)
[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => [1,2,3,4,5,6,7,8] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],8)
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [9,8,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,2,1] => ([],9)
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => [9,8,7,6,5,4,3,1,2] => ([(7,8)],9)
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => [9,8,7,6,5,4,1,2,3] => ([(6,7),(7,8)],9)
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => [9,8,7,6,5,1,2,3,4] => ([(5,6),(6,8),(8,7)],9)
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => [9,8,7,6,1,2,3,4,5] => ([(4,5),(5,8),(7,6),(8,7)],9)
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => [9,8,7,1,2,3,4,5,6] => ([(3,8),(5,7),(6,5),(7,4),(8,6)],9)
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => [9,8,1,2,3,4,5,6,7] => ([(2,8),(4,5),(5,7),(6,4),(7,3),(8,6)],9)
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => [9,1,2,3,4,5,6,7,8] => ([(1,8),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],9)
[[[[[[[[[.,.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9] => [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)
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [10,9,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,2,1] => ([],10)
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,3,1,2] => ([(8,9)],10)
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]] => [7,9,8,6,5,4,3,2,1] => [9,8,7,6,5,4,2,3,1] => ([(7,8)],9)
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,1,2,3] => ([(7,8),(8,9)],10)
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => [10,9,8,7,6,5,1,2,3,4] => ([(6,7),(7,9),(9,8)],10)
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => [10,9,8,7,6,1,2,3,4,5] => ([(5,6),(6,9),(8,7),(9,8)],10)
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => [10,9,8,7,1,2,3,4,5,6] => ([(4,5),(5,9),(7,8),(8,6),(9,7)],10)
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => [10,9,8,1,2,3,4,5,6,7] => ([(3,9),(5,6),(6,8),(7,5),(8,4),(9,7)],10)
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,10,2,1] => [10,9,1,2,3,4,5,6,7,8] => ([(2,9),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7)],10)
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,2] => [2,9,1,3,4,5,6,7,8] => ([(0,8),(1,3),(1,8),(4,6),(5,4),(6,2),(7,5),(8,7)],9)
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,1] => [10,1,2,3,4,5,6,7,8,9] => ([(1,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7)],10)
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10] => [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)
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]] => [8,7,9,6,5,4,3,2,1] => [9,8,7,6,5,4,2,1,3] => ([(6,8),(7,8)],9)
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]] => [8,7,6,9,5,4,3,2,1] => [9,8,7,6,5,3,2,1,4] => ([(5,8),(6,8),(7,8)],9)
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]] => [8,7,6,5,9,4,3,2,1] => [9,8,7,6,4,3,2,1,5] => ([(4,8),(5,8),(6,8),(7,8)],9)
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]] => [8,7,6,5,4,9,3,2,1] => [9,8,7,5,4,3,2,1,6] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]] => [8,7,6,5,4,3,9,2,1] => [9,8,6,5,4,3,2,1,7] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]] => [8,7,6,5,4,3,2,9,1] => [9,7,6,5,4,3,2,1,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [8,7,6,5,4,3,2,1,9] => [8,7,6,5,4,3,2,1,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]] => [9,8,10,7,6,5,4,3,2,1] => [10,9,8,7,6,5,4,2,1,3] => ([(7,9),(8,9)],10)
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]] => [6,8,7,9,5,4,3,2,1] => [9,8,7,6,5,2,3,1,4] => ([(5,8),(6,7),(7,8)],9)
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]] => [9,8,7,10,6,5,4,3,2,1] => [10,9,8,7,6,5,3,2,1,4] => ([(6,9),(7,9),(8,9)],10)
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]] => [5,8,7,6,9,4,3,2,1] => [9,8,7,6,3,4,2,1,5] => ([(4,8),(5,8),(6,7),(7,8)],9)
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]] => [9,8,7,6,10,5,4,3,2,1] => [10,9,8,7,6,4,3,2,1,5] => ([(5,9),(6,9),(7,9),(8,9)],10)
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]] => [4,8,7,6,5,9,3,2,1] => [9,8,7,4,5,3,2,1,6] => ([(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]] => [9,8,7,6,5,10,4,3,2,1] => [10,9,8,7,5,4,3,2,1,6] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]] => [3,8,7,6,5,4,9,2,1] => [9,8,5,6,4,3,2,1,7] => ([(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]] => [9,8,7,6,5,4,10,3,2,1] => [10,9,8,6,5,4,3,2,1,7] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]] => [2,8,7,6,5,4,3,9,1] => [9,6,7,5,4,3,2,1,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]] => [9,8,7,6,5,4,3,10,2,1] => [10,9,7,6,5,4,3,2,1,8] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [1,8,7,6,5,4,3,2,9] => [7,8,6,5,4,3,2,1,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]] => [9,8,7,6,5,4,3,2,10,1] => [10,8,7,6,5,4,3,2,1,9] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [9,8,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,2,1,10] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]] => [1,3,5,7,9,10,8,6,4,2] => [5,10,4,9,3,8,2,7,1,6] => ([(0,9),(1,8),(1,9),(2,7),(2,8),(2,9),(3,6),(3,7),(3,8),(3,9),(4,5),(4,6),(4,7),(4,8),(4,9)],10)
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => [9,7,5,3,1,2,4,6,8,10] => ([(0,6),(1,9),(2,7),(3,8),(4,5),(5,9),(6,8),(8,7),(9,6)],10)
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,1,4,6,5,3,8,10,9,7] => [6,5,8,4,7,3,10,2,9,1] => ([(1,9),(2,8),(2,9),(3,7),(4,6),(4,7),(5,6),(5,7),(6,8),(6,9),(7,8),(7,9)],10)
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => [6,5,7,4,8,3,9,2,10,1] => ([(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9,12,11] => [7,6,8,5,9,4,10,3,11,2,12,1] => ([(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,9,8] => [2,3,4,5,6,7,8,9,1] => ([(1,8),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],9)
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,10,9] => [2,3,4,5,6,7,8,9,10,1] => ([(1,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7)],10)
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,9,8] => [3,2,4,5,6,7,8,9,1] => ([(1,8),(2,8),(4,6),(5,4),(6,3),(7,5),(8,7)],9)
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,1] => [9,2,1,3,4,5,6,7,8] => ([(1,8),(2,8),(4,6),(5,4),(6,3),(7,5),(8,7)],9)
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]] => [1,2,3,4,5,6,7,8,9,11,10] => [2,3,4,5,6,7,8,9,10,11,1] => ([(1,10),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,2),(10,8)],11)
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]] => [2,1,3,4,5,6,7,8,10,9] => [3,2,4,5,6,7,8,9,10,1] => ([(1,9),(2,9),(4,5),(5,7),(6,4),(7,3),(8,6),(9,8)],10)
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]] => [1,3,2,4,5,6,7,9,8] => [3,4,2,5,6,7,8,9,1] => ([(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]] => [2,3,1,4,5,6,7,9,8] => [4,2,3,5,6,7,8,9,1] => ([(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]] => [2,4,3,5,6,7,8,9,1] => [9,2,3,1,4,5,6,7,8] => ([(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]] => [3,4,2,5,6,7,8,9,1] => [9,3,1,2,4,5,6,7,8] => ([(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]] => [3,2,4,5,6,7,8,9,10,1] => [10,2,1,3,4,5,6,7,8,9] => ([(1,9),(2,9),(4,5),(5,7),(6,4),(7,3),(8,6),(9,8)],10)
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,10,11,1] => [11,1,2,3,4,5,6,7,8,9,10] => ([(1,10),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,2),(10,8)],11)
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,8,9,7] => [2,3,4,5,6,7,9,1,8] => ([(0,8),(1,6),(3,5),(4,3),(5,7),(6,4),(7,2),(7,8)],9)
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [2,3,4,5,6,9,1,7,8] => ([(0,8),(1,6),(4,5),(5,7),(6,4),(7,2),(7,8),(8,3)],9)
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [2,3,4,5,9,1,6,7,8] => ([(0,8),(1,5),(4,6),(5,4),(6,2),(6,8),(7,3),(8,7)],9)
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,5,6,7,8,9,4] => [2,3,4,9,1,5,6,7,8] => ([(0,8),(1,5),(4,2),(5,6),(6,3),(6,8),(7,4),(8,7)],9)
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,3] => [2,3,9,1,4,5,6,7,8] => ([(0,8),(1,6),(4,5),(5,2),(6,3),(6,8),(7,4),(8,7)],9)
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,9,8,7] => [3,4,5,6,7,8,9,2,1] => ([(2,8),(4,5),(5,7),(6,4),(7,3),(8,6)],9)
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,6,7,9,10,8] => [2,3,4,5,6,7,8,10,1,9] => ([(0,9),(1,7),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(8,9)],10)
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,6,8,9,10,7] => [2,3,4,5,6,7,10,1,8,9] => ([(0,9),(1,7),(4,6),(5,4),(6,8),(7,5),(8,2),(8,9),(9,3)],10)
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,5,7,8,9,10,6] => [2,3,4,5,6,10,1,7,8,9] => ([(0,9),(1,6),(4,5),(5,7),(6,4),(7,2),(7,9),(8,3),(9,8)],10)
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]] => [1,2,3,4,6,7,8,9,10,5] => [2,3,4,5,10,1,6,7,8,9] => ([(0,9),(1,6),(4,7),(5,2),(6,4),(7,3),(7,9),(8,5),(9,8)],10)
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]] => [1,2,3,5,6,7,8,9,10,4] => [2,3,4,10,1,5,6,7,8,9] => ([(0,9),(1,6),(4,5),(5,2),(6,7),(7,3),(7,9),(8,4),(9,8)],10)
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]] => [1,2,4,5,6,7,8,9,10,3] => [2,3,10,1,4,5,6,7,8,9] => ([(0,9),(1,7),(4,6),(5,4),(6,2),(7,3),(7,9),(8,5),(9,8)],10)
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]] => [1,3,4,5,6,7,8,9,10,2] => [2,10,1,3,4,5,6,7,8,9] => ([(0,9),(1,3),(1,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,8)],10)
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,9,8,7,6,5,4,3,2] => [8,9,7,6,5,4,3,2,1] => ([(7,8)],9)
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [7,8,6,5,4,3,2,1,9] => [8,7,6,5,4,3,1,2,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]] => [1,10,9,8,7,6,5,4,3,2] => [9,10,8,7,6,5,4,3,2,1] => ([(8,9)],10)
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [10,9,8,7,6,5,4,3,2,1,11] => [10,9,8,7,6,5,4,3,2,1,11] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,10),(9,10)],11)
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [8,9,7,6,5,4,3,2,1,10] => [9,8,7,6,5,4,3,1,2,10] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [7,6,8,5,4,3,2,1,9] => [8,7,6,5,4,2,1,3,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]] => [1,11,10,9,8,7,6,5,4,3,2] => [10,11,9,8,7,6,5,4,3,2,1] => ([(9,10)],11)
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]] => [6,5,7,4,8,3,9,2,10,1] => [10,8,6,4,2,1,3,5,7,9] => ([(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]] => [7,6,8,5,9,4,10,3,11,2,12,1] => [12,10,8,6,4,2,1,3,5,7,9,11] => ([(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [2,1,9,8,7,6,5,4,3] => [8,7,9,6,5,4,3,2,1] => ([(6,8),(7,8)],9)
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]] => [3,2,1,9,8,7,6,5,4] => [8,7,6,9,5,4,3,2,1] => ([(5,8),(6,8),(7,8)],9)
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]] => [4,3,2,1,9,8,7,6,5] => [8,7,6,5,9,4,3,2,1] => ([(4,8),(5,8),(6,8),(7,8)],9)
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]] => [5,4,3,2,1,9,8,7,6] => [8,7,6,5,4,9,3,2,1] => ([(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]] => [6,5,4,3,2,1,9,8,7] => [8,7,6,5,4,3,9,2,1] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]] => [7,6,5,4,3,2,1,9,8] => [8,7,6,5,4,3,2,9,1] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,9,8,7,6,5,4,3] => [7,8,9,6,5,4,3,2,1] => ([(6,7),(7,8)],9)
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,1,10,9,8,7,6,5,4,3] => [9,8,10,7,6,5,4,3,2,1] => ([(7,9),(8,9)],10)
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]] => [2,3,1,9,8,7,6,5,4] => [8,6,7,9,5,4,3,2,1] => ([(5,8),(6,7),(7,8)],9)
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]] => [3,2,1,10,9,8,7,6,5,4] => [9,8,7,10,6,5,4,3,2,1] => ([(6,9),(7,9),(8,9)],10)
[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]] => [3,4,2,1,9,8,7,6,5] => [8,7,5,6,9,4,3,2,1] => ([(4,8),(5,8),(6,7),(7,8)],9)
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]] => [4,3,2,1,10,9,8,7,6,5] => [9,8,7,6,10,5,4,3,2,1] => ([(5,9),(6,9),(7,9),(8,9)],10)
[[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]] => [4,5,3,2,1,9,8,7,6] => [8,7,6,4,5,9,3,2,1] => ([(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]] => [5,4,3,2,1,10,9,8,7,6] => [9,8,7,6,5,10,4,3,2,1] => ([(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[.,[.,[.,[.,[[.,.],.]]]]],[.,[.,.]]] => [5,6,4,3,2,1,9,8,7] => [8,7,6,5,3,4,9,2,1] => ([(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]] => [6,5,4,3,2,1,10,9,8,7] => [9,8,7,6,5,4,10,3,2,1] => ([(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]] => [6,7,5,4,3,2,1,9,8] => [8,7,6,5,4,2,3,9,1] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]] => [7,6,5,4,3,2,1,10,9,8] => [9,8,7,6,5,4,3,10,2,1] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]] => [8,7,6,5,4,3,2,1,10,9] => [9,8,7,6,5,4,3,2,10,1] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.] => [7,6,5,4,3,2,1,8,9] => [7,6,5,4,3,2,1,8,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(8,7)],9)
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.] => [6,5,4,3,2,1,7,8,9] => [6,5,4,3,2,1,7,8,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,6)],9)
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.] => [5,4,3,2,1,6,7,8,9] => [5,4,3,2,1,6,7,8,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(7,6),(8,5)],9)
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9] => [4,3,2,1,5,6,7,8,9] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(6,5),(7,6),(8,4)],9)
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9] => [3,2,1,4,5,6,7,8,9] => ([(0,8),(1,8),(2,8),(4,6),(5,4),(6,3),(7,5),(8,7)],9)
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9] => [2,1,3,4,5,6,7,8,9] => ([(0,8),(1,8),(3,4),(4,6),(5,3),(6,2),(7,5),(8,7)],9)
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [8,7,6,5,4,3,2,1,9,10] => [8,7,6,5,4,3,2,1,9,10] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(9,8)],10)
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.] => [7,6,5,4,3,2,1,8,9,10] => [7,6,5,4,3,2,1,8,9,10] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,7)],10)
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.] => [6,5,4,3,2,1,7,8,9,10] => [6,5,4,3,2,1,7,8,9,10] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(8,7),(9,6)],10)
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.] => [5,4,3,2,1,6,7,8,9,10] => [5,4,3,2,1,6,7,8,9,10] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,8),(7,6),(8,7),(9,5)],10)
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.] => [4,3,2,1,5,6,7,8,9,10] => [4,3,2,1,5,6,7,8,9,10] => ([(0,9),(1,9),(2,9),(3,9),(5,7),(6,5),(7,4),(8,6),(9,8)],10)
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.] => [1,4,3,2,5,6,7,8,9] => [3,4,2,1,5,6,7,8,9] => ([(0,8),(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.] => [3,2,1,4,5,6,7,8,9,10] => [3,2,1,4,5,6,7,8,9,10] => ([(0,9),(1,9),(2,9),(4,5),(5,7),(6,4),(7,3),(8,6),(9,8)],10)
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9] => [2,3,1,4,5,6,7,8,9] => ([(0,8),(1,3),(3,8),(4,6),(5,4),(6,2),(7,5),(8,7)],9)
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10] => [2,1,3,4,5,6,7,8,9,10] => ([(0,9),(1,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6),(9,8)],10)
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]] => [4,9,8,7,6,5,3,2,1] => [9,8,7,5,6,4,3,2,1] => ([(7,8)],9)
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]] => [2,9,8,7,6,5,4,3,1] => [9,7,8,6,5,4,3,2,1] => ([(7,8)],9)
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,5,8,10,9,7] => [6,5,7,4,8,3,10,2,9,1] => ([(1,6),(2,6),(3,9),(4,8),(5,7),(5,9),(6,8),(8,7),(8,9)],10)
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,9,8,1] => [9,2,3,4,5,6,7,8,1] => ([(2,8),(4,5),(5,7),(6,4),(7,3),(8,6)],9)
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8,9,10,11] => [2,1,3,4,5,6,7,8,9,10,11] => ([(0,10),(1,10),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7),(10,9)],11)
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.] => [2,1,3,4,5,6,8,7,9] => [3,2,4,5,6,7,8,1,9] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,4),(6,3),(8,5)],9)
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]] => [2,1,3,4,5,6,8,9,7] => [3,2,4,5,6,7,9,1,8] => ([(0,8),(1,8),(2,7),(4,6),(5,4),(6,3),(6,7),(8,5)],9)
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]] => [2,3,4,5,6,7,8,10,9,1] => [10,2,3,4,5,6,7,8,9,1] => ([(2,9),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7)],10)
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.] => [2,1,4,3,5,6,7,8,9] => [3,2,4,1,5,6,7,8,9] => ([(0,8),(1,7),(2,7),(4,6),(5,4),(6,3),(7,8),(8,5)],9)
[[[[[[.,[.,[.,.]]],[.,.]],.],.],.],.] => [3,2,1,5,4,6,7,8,9] => [4,3,2,5,1,6,7,8,9] => ([(0,8),(1,8),(2,8),(3,7),(4,6),(6,5),(7,4),(8,7)],9)
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.] => [6,5,4,3,2,1,8,7,9] => [7,6,5,4,3,2,8,1,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]] => [3,4,5,6,7,8,2,9,1] => [9,7,1,2,3,4,5,6,8] => ([(1,8),(2,7),(3,8),(4,6),(5,4),(6,3),(7,5)],9)
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,1,9] => [8,1,2,3,4,5,6,7,9] => ([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9)
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9] => [3,1,2,4,5,6,7,8,9] => ([(0,8),(1,3),(3,8),(4,6),(5,4),(6,2),(7,5),(8,7)],9)
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.] => [2,3,4,5,6,7,1,8,9] => [7,1,2,3,4,5,6,8,9] => ([(0,8),(1,7),(2,8),(4,6),(5,4),(6,2),(7,5),(8,3)],9)
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [2,3,1,4,5,6,7,8,9,10] => [3,1,2,4,5,6,7,8,9,10] => ([(0,9),(1,3),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,8)],10)
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.] => [2,4,3,1,5,6,7,8,9] => [4,2,3,1,5,6,7,8,9] => ([(0,8),(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.] => [2,3,5,4,1,6,7,8,9] => [5,2,3,4,1,6,7,8,9] => ([(0,8),(1,8),(2,6),(4,8),(5,3),(6,4),(7,5),(8,7)],9)
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.] => [2,3,4,6,5,1,7,8,9] => [6,2,3,4,5,1,7,8,9] => ([(0,8),(1,8),(2,6),(4,8),(5,4),(6,5),(7,3),(8,7)],9)
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.] => [2,3,4,5,7,6,1,8,9] => [7,2,3,4,5,6,1,8,9] => ([(0,8),(1,8),(2,7),(3,8),(5,6),(6,3),(7,5),(8,4)],9)
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.] => [2,3,4,5,6,8,7,1,9] => [8,2,3,4,5,6,7,1,9] => ([(0,8),(1,8),(2,7),(3,8),(4,6),(5,4),(6,3),(7,5)],9)
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.] => [2,3,4,5,6,7,8,9,1,10] => [9,1,2,3,4,5,6,7,8,10] => ([(0,9),(1,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10)
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9] => [2,3,4,1,5,6,7,8,9] => ([(0,8),(1,6),(3,8),(4,5),(5,2),(6,3),(7,4),(8,7)],9)
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.] => [1,2,3,5,4,6,7,8,9] => [2,3,4,5,1,6,7,8,9] => ([(0,8),(1,6),(3,8),(4,3),(5,2),(6,4),(7,5),(8,7)],9)
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,6,5,7,8,9] => [2,3,4,5,6,1,7,8,9] => ([(0,8),(1,6),(3,8),(4,5),(5,3),(6,4),(7,2),(8,7)],9)
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,7,6,8,9] => [2,3,4,5,6,7,1,8,9] => ([(0,8),(1,7),(2,8),(4,6),(5,4),(6,2),(7,5),(8,3)],9)
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,8,7,9] => [2,3,4,5,6,7,8,1,9] => ([(0,8),(1,7),(2,8),(3,4),(4,6),(5,3),(6,2),(7,5)],9)
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.] => [1,3,2,4,5,6,7,8,9,10] => [2,3,1,4,5,6,7,8,9,10] => ([(0,9),(1,3),(3,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,8)],10)
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.] => [1,2,4,3,5,6,7,8,9,10] => [2,3,4,1,5,6,7,8,9,10] => ([(0,9),(1,7),(3,9),(4,6),(5,4),(6,2),(7,3),(8,5),(9,8)],10)
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.] => [1,2,3,5,4,6,7,8,9,10] => [2,3,4,5,1,6,7,8,9,10] => ([(0,9),(1,7),(3,9),(4,3),(5,6),(6,2),(7,4),(8,5),(9,8)],10)
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.] => [1,2,3,4,6,5,7,8,9,10] => [2,3,4,5,6,1,7,8,9,10] => ([(0,9),(1,7),(3,9),(4,5),(5,3),(6,2),(7,4),(8,6),(9,8)],10)
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.] => [1,2,3,4,5,7,6,8,9,10] => [2,3,4,5,6,7,1,8,9,10] => ([(0,9),(1,7),(3,9),(4,6),(5,4),(6,3),(7,5),(8,2),(9,8)],10)
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.] => [1,2,3,4,5,6,8,7,9,10] => [2,3,4,5,6,7,8,1,9,10] => ([(0,9),(1,8),(2,9),(4,5),(5,7),(6,4),(7,2),(8,6),(9,3)],10)
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,9,8,10] => [2,3,4,5,6,7,8,9,1,10] => ([(0,9),(1,8),(2,9),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],10)
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]] => [1,3,4,5,6,7,9,8,2] => [3,9,2,4,5,6,7,8,1] => ([(1,8),(2,4),(2,8),(5,6),(6,3),(7,5),(8,7)],9)
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]] => [7,6,5,4,3,2,9,8,1] => [9,7,6,5,4,3,2,8,1] => ([(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]] => [6,5,4,3,2,7,8,9,1] => [9,5,4,3,2,1,6,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,6)],9)
[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]] => [7,6,5,4,3,2,8,9,1] => [9,6,5,4,3,2,1,7,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(8,7)],9)
[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]] => [8,7,6,5,4,3,2,9,10,1] => [10,7,6,5,4,3,2,1,8,9] => ([(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(9,8)],10)
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [1,7,6,5,4,3,2,9,8] => [7,8,6,5,4,3,2,9,1] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]] => [6,5,4,3,2,1,8,9,7] => [7,6,5,4,3,2,9,1,8] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(6,7),(6,8)],9)
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8,9,10,11] => [1,2,3,4,5,6,7,8,9,10,11] => ([(0,10),(2,3),(3,5),(4,2),(5,7),(6,4),(7,9),(8,6),(9,1),(10,8)],11)
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [1,2,10,9,8,7,6,5,4,3] => [8,9,10,7,6,5,4,3,2,1] => ([(7,8),(8,9)],10)
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.] => [2,1,8,7,6,5,4,3,9] => [7,6,8,5,4,3,2,1,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [1,9,8,7,6,5,4,3,2,10] => [8,9,7,6,5,4,3,2,1,10] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(8,9)],10)
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.] => [1,2,4,5,3,6,7,8,9] => [2,3,5,1,4,6,7,8,9] => ([(0,7),(1,6),(3,8),(4,5),(5,2),(6,3),(6,7),(7,8),(8,4)],9)
[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.] => [2,1,4,5,3,6,7,8,9] => [3,2,5,1,4,6,7,8,9] => ([(0,8),(1,6),(1,8),(2,6),(2,8),(3,5),(5,4),(6,7),(7,3),(8,7)],9)
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.] => [1,3,2,5,4,6,7,8,9] => [3,4,2,5,1,6,7,8,9] => ([(0,8),(1,7),(2,4),(4,7),(5,3),(6,5),(7,8),(8,6)],9)
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]] => [8,7,6,5,4,3,2,10,9,1] => [10,8,7,6,5,4,3,2,9,1] => ([(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]] => [2,1,4,5,6,7,8,9,3] => [3,2,9,1,4,5,6,7,8] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(4,5),(5,3),(6,4),(8,6)],9)
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.] => [1,3,4,5,6,7,8,2,9] => [2,8,1,3,4,5,6,7,9] => ([(0,8),(1,3),(1,8),(2,7),(3,7),(4,6),(5,4),(6,2),(8,5)],9)
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]] => [1,2,3,4,5,6,7,10,9,8] => [3,4,5,6,7,8,9,10,2,1] => ([(2,9),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7)],10)
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => [8,7,6,5,4,1,2,3,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9)
[[.,[.,[.,[.,[.,.]]]]],[[[.,.],.],.]] => [5,4,3,2,1,7,8,9,6] => [6,5,4,3,2,9,1,7,8] => ([(0,8),(1,7),(1,8),(2,7),(2,8),(3,7),(3,8),(4,7),(4,8),(5,7),(5,8),(8,6)],9)
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,9,8,7,6] => [4,5,6,7,8,9,3,2,1] => ([(3,8),(5,7),(6,5),(7,4),(8,6)],9)
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,9,8,7,6,5] => [5,6,7,8,9,4,3,2,1] => ([(4,5),(5,8),(7,6),(8,7)],9)
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,9,8,7,6,5,4] => [6,7,8,9,5,4,3,2,1] => ([(5,6),(6,8),(8,7)],9)
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]] => [1,2,3,4,5,7,6,9,8] => [3,4,5,6,7,8,2,9,1] => ([(1,8),(2,7),(3,8),(4,6),(5,4),(6,3),(7,5)],9)
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]] => [1,2,3,4,5,6,10,9,8,7] => [4,5,6,7,8,9,10,3,2,1] => ([(3,9),(5,6),(6,8),(7,5),(8,4),(9,7)],10)
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,4,5,10,9,8,7,6] => [5,6,7,8,9,10,4,3,2,1] => ([(4,5),(5,9),(7,8),(8,6),(9,7)],10)
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]] => [1,2,3,4,10,9,8,7,6,5] => [6,7,8,9,10,5,4,3,2,1] => ([(5,6),(6,9),(8,7),(9,8)],10)
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,2,3,10,9,8,7,6,5,4] => [7,8,9,10,6,5,4,3,2,1] => ([(6,7),(7,9),(9,8)],10)
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]] => [10,11,9,8,7,6,5,4,3,2,1] => [11,10,9,8,7,6,5,4,3,1,2] => ([(9,10)],11)
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]] => [7,8,6,5,4,3,2,9,1] => [9,7,6,5,4,3,1,2,8] => ([(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.] => [3,4,2,1,5,6,7,8,9] => [4,3,1,2,5,6,7,8,9] => ([(0,8),(1,8),(2,4),(4,8),(5,6),(6,3),(7,5),(8,7)],9)
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.] => [3,4,2,5,1,6,7,8,9] => [5,3,1,2,4,6,7,8,9] => ([(0,8),(1,7),(2,4),(4,7),(5,3),(6,5),(7,8),(8,6)],9)
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [7,6,5,4,3,2,8,1,9] => [8,6,5,4,3,2,1,7,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.] => [7,6,5,8,4,3,2,1,9] => [8,7,6,5,3,2,1,4,9] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9)
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.] => [4,5,3,2,1,6,7,8,9] => [5,4,3,1,2,6,7,8,9] => ([(0,8),(1,8),(2,8),(3,4),(4,8),(5,6),(6,7),(8,5)],9)
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.] => [3,2,4,5,6,7,8,1,9] => [8,2,1,3,4,5,6,7,9] => ([(0,8),(1,8),(2,7),(3,7),(4,6),(5,4),(6,3),(8,5)],9)
[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.] => [5,4,3,2,1,8,7,6,9] => [7,6,5,4,3,8,2,1,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(8,7)],9)
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]],.] => [7,6,5,4,3,2,1,9,8,10] => [8,7,6,5,4,3,2,9,1,10] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]] => [2,3,9,8,7,6,5,4,1] => [9,6,7,8,5,4,3,2,1] => ([(6,7),(7,8)],9)
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.] => [2,8,7,6,5,4,3,1,9] => [8,6,7,5,4,3,2,1,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(7,8)],9)
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]] => [2,3,4,5,6,7,1,9,8] => [8,2,3,4,5,6,7,9,1] => ([(1,8),(2,7),(3,8),(4,6),(5,4),(6,3),(7,5)],9)
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.] => [1,3,4,2,5,6,7,8,9] => [2,4,1,3,5,6,7,8,9] => ([(0,7),(1,3),(1,7),(3,8),(4,6),(5,4),(6,2),(7,8),(8,5)],9)
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [8,7,6,5,4,3,2,9,1,10] => [9,7,6,5,4,3,2,1,8,10] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,6,7,8,10,9,11] => [2,3,4,5,6,7,8,9,10,1,11] => ([(0,10),(1,9),(2,10),(3,4),(4,6),(5,3),(6,8),(7,5),(8,2),(9,7)],11)
[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.] => [5,6,4,3,2,1,7,8,9] => [6,5,4,3,1,2,7,8,9] => ([(0,8),(1,8),(2,8),(3,8),(4,5),(5,8),(6,7),(8,6)],9)
[[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.] => [5,6,4,3,2,1,7,8,9,10] => [6,5,4,3,1,2,7,8,9,10] => ([(0,9),(1,9),(2,9),(3,9),(4,5),(5,9),(6,7),(7,8),(9,6)],10)
[[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.],.] => [6,7,5,4,3,2,1,8,9,10,11] => [7,6,5,4,3,1,2,8,9,10,11] => ([(0,10),(1,10),(2,10),(3,10),(4,10),(5,6),(6,10),(7,8),(8,9),(10,7)],11)
[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.] => [6,7,5,4,3,2,1,8,9,10] => [7,6,5,4,3,1,2,8,9,10] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,6),(6,9),(7,8),(9,7)],10)
[[[.,[[.,[.,[.,[[.,.],.]]]],.]],.],.] => [5,6,4,3,2,7,1,8,9] => [7,5,4,3,1,2,6,8,9] => ([(0,8),(1,8),(2,8),(3,7),(4,5),(5,8),(7,6),(8,7)],9)
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]] => [7,6,5,4,3,2,1,9,10,8] => [8,7,6,5,4,3,2,10,1,9] => ([(0,9),(1,8),(1,9),(2,8),(2,9),(3,8),(3,9),(4,8),(4,9),(5,8),(5,9),(6,8),(6,9),(7,8),(7,9)],10)
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
major-index to inversion-number bijection
Description
Return the permutation whose Lehmer code equals the major code of the preimage.
This map sends the major index to the number of inversions.
This map sends the major index to the number of inversions.
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
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$
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