- FindStat

Identifier

Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00065: Permutations —permutation poset⟶ Posets
Mp00125: Posets —dual poset⟶ Posets

Images

[.,.] => [1] => ([],1) => ([],1)

[.,[.,.]] => [2,1] => ([],2) => ([],2)

[[.,.],.] => [1,2] => ([(0,1)],2) => ([(0,1)],2)

[.,[.,[.,.]]] => [3,2,1] => ([],3) => ([],3)

[.,[[.,.],.]] => [2,3,1] => ([(1,2)],3) => ([(1,2)],3)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 987 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]] => [8,7,6,5,4,3,2,1] => ([],8) => ([],8)

[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]] => [7,8,6,5,4,3,2,1] => ([(6,7)],8) => ([(6,7)],8)

[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]] => [6,8,7,5,4,3,2,1] => ([(5,6),(5,7)],8) => ([(5,7),(6,7)],8)

[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]] => [7,6,8,5,4,3,2,1] => ([(5,7),(6,7)],8) => ([(5,6),(5,7)],8)

[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]] => [6,7,8,5,4,3,2,1] => ([(5,6),(6,7)],8) => ([(5,6),(6,7)],8)

[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]] => [5,8,7,6,4,3,2,1] => ([(4,5),(4,6),(4,7)],8) => ([(4,7),(5,7),(6,7)],8)

[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]] => [5,7,8,6,4,3,2,1] => ([(4,5),(4,6),(6,7)],8) => ([(4,7),(5,6),(6,7)],8)

[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]] => [6,5,8,7,4,3,2,1] => ([(4,6),(4,7),(5,6),(5,7)],8) => ([(4,6),(4,7),(5,6),(5,7)],8)

[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]] => [5,6,8,7,4,3,2,1] => ([(4,5),(5,6),(5,7)],8) => ([(4,7),(5,7),(7,6)],8)

[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]] => [7,6,5,8,4,3,2,1] => ([(4,7),(5,7),(6,7)],8) => ([(4,5),(4,6),(4,7)],8)

[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]] => [6,7,5,8,4,3,2,1] => ([(4,7),(5,6),(6,7)],8) => ([(4,5),(4,6),(6,7)],8)

[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => ([(4,5),(4,6),(5,7),(6,7)],8) => ([(4,5),(4,6),(5,7),(6,7)],8)

[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]] => [6,5,7,8,4,3,2,1] => ([(4,7),(5,7),(7,6)],8) => ([(4,5),(5,6),(5,7)],8)

[.,[.,[.,[.,[[[[.,.],.],.],.]]]]] => [5,6,7,8,4,3,2,1] => ([(4,5),(5,7),(7,6)],8) => ([(4,5),(5,7),(7,6)],8)

[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]] => [4,8,7,6,5,3,2,1] => ([(3,4),(3,5),(3,6),(3,7)],8) => ([(3,7),(4,7),(5,7),(6,7)],8)

[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]] => [4,7,8,6,5,3,2,1] => ([(3,4),(3,5),(3,6),(6,7)],8) => ([(3,7),(4,7),(5,6),(6,7)],8)

[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => ([(3,4),(3,5),(5,6),(5,7)],8) => ([(3,7),(4,6),(5,6),(6,7)],8)

[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => ([(3,7),(4,7),(5,7),(6,7)],8) => ([(3,4),(3,5),(3,6),(3,7)],8)

[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => ([(3,7),(4,6),(5,6),(6,7)],8) => ([(3,4),(3,5),(5,6),(5,7)],8)

[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => ([(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8) => ([(3,4),(3,5),(3,6),(4,7),(5,7),(6,7)],8)

[.,[.,[.,[[[.,.],[[.,.],.]],.]]]] => [4,6,7,5,8,3,2,1] => ([(3,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(3,4),(3,5),(4,6),(5,7),(6,7)],8)

[.,[.,[.,[[[[[.,.],.],.],.],.]]]] => [4,5,6,7,8,3,2,1] => ([(3,4),(4,7),(6,5),(7,6)],8) => ([(3,4),(4,7),(6,5),(7,6)],8)

[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]] => [3,7,8,6,5,4,2,1] => ([(2,4),(2,5),(2,6),(2,7),(7,3)],8) => ([(2,7),(3,7),(4,7),(5,6),(6,7)],8)

[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]] => [3,6,8,7,5,4,2,1] => ([(2,5),(2,6),(2,7),(7,3),(7,4)],8) => ([(2,7),(3,7),(4,6),(5,6),(6,7)],8)

[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]] => [3,5,8,7,6,4,2,1] => ([(2,6),(2,7),(7,3),(7,4),(7,5)],8) => ([(2,7),(3,7),(4,7),(5,6),(7,6)],8)

[.,[.,[[.,.],[[.,.],[[.,.],.]]]]] => [3,5,7,8,6,4,2,1] => ([(2,5),(2,7),(6,4),(7,3),(7,6)],8) => ([(2,7),(3,6),(4,5),(5,7),(7,6)],8)

[.,[.,[[.,.],[[[.,.],.],[.,.]]]]] => [3,5,6,8,7,4,2,1] => ([(2,5),(2,6),(6,7),(7,3),(7,4)],8) => ([(2,7),(3,6),(4,6),(5,7),(6,5)],8)

[.,[.,[[.,.],[[[[.,.],.],.],.]]]] => [3,5,6,7,8,4,2,1] => ([(2,4),(2,7),(5,6),(6,3),(7,5)],8) => ([(2,4),(3,7),(4,6),(5,7),(6,5)],8)

[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]] => [4,3,8,7,6,5,2,1] => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)

[.,[.,[[.,[.,.]],[[[.,.],.],.]]]] => [4,3,6,7,8,5,2,1] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8) => ([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)

[.,[.,[[[.,.],.],[[[.,.],.],.]]]] => [3,4,6,7,8,5,2,1] => ([(2,7),(5,6),(6,4),(7,3),(7,5)],8) => ([(2,7),(3,4),(4,6),(6,7),(7,5)],8)

[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]] => [5,4,3,7,8,6,2,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8) => ([(2,5),(2,6),(2,7),(3,4),(4,5),(4,6),(4,7)],8)

[.,[.,[[[[.,.],.],.],[.,[.,.]]]]] => [3,4,5,8,7,6,2,1] => ([(2,6),(6,7),(7,3),(7,4),(7,5)],8) => ([(2,7),(3,7),(4,7),(5,6),(7,5)],8)

[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]] => [6,5,4,3,8,7,2,1] => ([(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)

[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]] => [5,6,4,3,8,7,2,1] => ([(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => ([(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)

[.,[.,[[.,[[[.,.],.],.]],[.,.]]]] => [4,5,6,3,8,7,2,1] => ([(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8) => ([(2,6),(2,7),(3,6),(3,7),(4,5),(7,4)],8)

[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]] => [4,3,6,5,8,7,2,1] => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)

[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]] => [5,7,6,4,3,8,2,1] => ([(2,7),(3,7),(4,5),(4,6),(5,7),(6,7)],8) => ([(2,3),(2,4),(2,5),(2,6),(5,7),(6,7)],8)

[.,[.,[[.,[[[.,[.,.]],.],.]],.]]] => [5,4,6,7,3,8,2,1] => ([(2,7),(3,6),(4,6),(5,7),(6,5)],8) => ([(2,5),(2,6),(6,7),(7,3),(7,4)],8)

[.,[.,[[.,[[[[.,.],.],.],.]],.]]] => [4,5,6,7,3,8,2,1] => ([(2,4),(3,7),(4,6),(5,7),(6,5)],8) => ([(2,4),(2,7),(5,6),(6,3),(7,5)],8)

[.,[.,[[[[[.,[.,.]],.],.],.],.]]] => [4,3,5,6,7,8,2,1] => ([(2,7),(3,7),(4,6),(6,5),(7,4)],8) => ([(2,6),(5,7),(6,5),(7,3),(7,4)],8)

[.,[.,[[[[[[.,.],.],.],.],.],.]]] => [3,4,5,6,7,8,2,1] => ([(2,7),(4,6),(5,4),(6,3),(7,5)],8) => ([(2,7),(4,6),(5,4),(6,3),(7,5)],8)

[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]] => [2,7,8,6,5,4,3,1] => ([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8) => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)

[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]] => [2,6,8,7,5,4,3,1] => ([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8) => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)

[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => ([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8) => ([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8)

[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => ([(1,5),(1,7),(6,4),(7,2),(7,3),(7,6)],8) => ([(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8)

[.,[[.,.],[[.,.],[[.,.],[.,.]]]]] => [2,4,6,8,7,5,3,1] => ([(1,5),(1,7),(6,3),(6,4),(7,2),(7,6)],8) => ([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)

[.,[[.,.],[[.,[[.,.],.]],[.,.]]]] => [2,5,6,4,8,7,3,1] => ([(1,2),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8) => ([(1,7),(2,5),(2,6),(3,5),(3,6),(4,7),(5,7),(6,4)],8)

[.,[[.,.],[[[.,.],[.,.]],[.,.]]]] => [2,4,6,5,8,7,3,1] => ([(1,2),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8) => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(7,6)],8)

[.,[[.,[.,.]],[[.,.],[[.,.],.]]]] => [3,2,5,7,8,6,4,1] => ([(1,6),(1,7),(2,6),(2,7),(4,5),(7,3),(7,4)],8) => ([(1,7),(2,5),(2,6),(3,4),(4,7),(7,5),(7,6)],8)

[.,[[[.,.],.],[.,[[[.,.],.],.]]]] => [2,3,6,7,8,5,4,1] => ([(1,7),(5,6),(6,4),(7,2),(7,3),(7,5)],8) => ([(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)

[.,[[[.,.],.],[[[.,.],.],[.,.]]]] => [2,3,5,6,8,7,4,1] => ([(1,7),(5,6),(6,3),(6,4),(7,2),(7,5)],8) => ([(1,7),(2,6),(3,6),(5,7),(6,5),(7,4)],8)

[.,[[[.,.],.],[[[[.,.],.],.],.]]] => [2,3,5,6,7,8,4,1] => ([(1,7),(4,6),(5,4),(6,2),(7,3),(7,5)],8) => ([(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)

[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]] => [4,3,2,6,8,7,5,1] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(7,4),(7,5)],8) => ([(1,4),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)

[.,[[.,[[.,.],.]],[.,[[.,.],.]]]] => [3,4,2,7,8,6,5,1] => ([(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8) => ([(1,6),(1,7),(2,6),(2,7),(3,5),(5,6),(5,7),(7,4)],8)

[.,[[[.,.],[.,.]],[[.,.],[.,.]]]] => [2,4,3,6,8,7,5,1] => ([(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8) => ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)

[.,[[[[.,.],.],.],[[[.,.],.],.]]] => [2,3,4,6,7,8,5,1] => ([(1,6),(4,5),(5,2),(6,7),(7,3),(7,4)],8) => ([(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8)

[.,[[[.,[[.,.],.]],.],[[.,.],.]]] => [3,4,2,5,7,8,6,1] => ([(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8) => ([(1,7),(2,4),(4,7),(6,3),(7,5),(7,6)],8)

[.,[[.,[[.,.],[[.,.],.]]],[.,.]]] => [3,5,6,4,2,8,7,1] => ([(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(6,3),(7,4)],8)

[.,[[[.,.],[[.,.],[.,.]]],[.,.]]] => [2,4,6,5,3,8,7,1] => ([(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8) => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)

[.,[[[.,[[.,.],.]],[.,.]],[.,.]]] => [3,4,2,6,5,8,7,1] => ([(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(1,6),(1,7),(2,6),(2,7),(5,3),(6,4),(6,5),(7,4),(7,5)],8)

[.,[[[[.,.],[.,.]],[.,.]],[.,.]]] => [2,4,3,6,5,8,7,1] => ([(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)

[.,[[[[[[.,.],.],.],.],.],[.,.]]] => [2,3,4,5,6,8,7,1] => ([(1,6),(4,5),(5,7),(6,4),(7,2),(7,3)],8) => ([(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8)

[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]] => [7,6,5,4,3,2,8,1] => ([(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => ([(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)

[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]] => [6,7,5,4,3,2,8,1] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => ([(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)

[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => ([(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => ([(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)

[.,[[.,[.,[[.,.],[[.,.],.]]]],.]] => [4,6,7,5,3,2,8,1] => ([(1,7),(2,7),(3,4),(3,5),(4,6),(5,7),(6,7)],8) => ([(1,2),(1,3),(1,5),(1,6),(4,7),(5,7),(6,4)],8)

[.,[[.,[.,[[[[.,.],.],.],.]]],.]] => [4,5,6,7,3,2,8,1] => ([(1,4),(2,7),(3,7),(4,6),(5,7),(6,5)],8) => ([(1,3),(1,4),(1,7),(5,6),(6,2),(7,5)],8)

[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => ([(1,7),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8) => ([(1,2),(1,3),(1,4),(1,5),(3,7),(4,6),(5,6),(6,7)],8)

[.,[[.,[[.,.],[[[.,.],.],.]]],.]] => [3,5,6,7,4,2,8,1] => ([(1,7),(2,4),(2,6),(3,7),(4,7),(5,3),(6,5)],8) => ([(1,2),(1,4),(1,6),(3,7),(4,7),(5,3),(6,5)],8)

[.,[[.,[[[.,.],[.,.]],[.,.]]],.]] => [3,5,4,7,6,2,8,1] => ([(1,7),(2,3),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(1,2),(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)

[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => ([(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8) => ([(1,6),(1,7),(7,2),(7,3),(7,4),(7,5)],8)

[.,[[.,[[.,[[.,.],[.,.]]],.]],.]] => [4,6,5,3,7,2,8,1] => ([(1,7),(2,6),(3,4),(3,5),(4,7),(5,7),(7,6)],8) => ([(1,3),(1,6),(4,7),(5,7),(6,2),(6,4),(6,5)],8)

[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => ([(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8) => ([(1,5),(1,7),(6,3),(6,4),(7,2),(7,6)],8)

[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => ([(1,6),(2,3),(2,4),(3,7),(4,5),(5,7),(7,6)],8) => ([(1,2),(1,6),(3,7),(4,7),(5,4),(6,3),(6,5)],8)

[.,[[.,[[[.,[.,.]],[.,.]],.]],.]] => [4,3,6,5,7,2,8,1] => ([(1,6),(2,4),(2,5),(3,4),(3,5),(4,7),(5,7),(7,6)],8) => ([(1,2),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(5,4)],8)

[.,[[[.,.],[.,[[[.,.],.],.]]],.]] => [2,5,6,7,4,3,8,1] => ([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8) => ([(1,3),(1,4),(1,6),(2,7),(3,7),(4,7),(5,2),(6,5)],8)

[.,[[[.,.],[[.,[.,.]],[.,.]]],.]] => [2,5,4,7,6,3,8,1] => ([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(1,2),(1,3),(1,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)

[.,[[[.,.],[[[.,[.,.]],.],.]],.]] => [2,5,4,6,7,3,8,1] => ([(1,2),(1,3),(1,5),(2,7),(3,7),(4,6),(5,6),(7,4)],8) => ([(1,4),(1,5),(2,7),(3,7),(4,7),(5,6),(6,2),(6,3)],8)

[.,[[[.,[.,.]],[[.,.],[.,.]]],.]] => [3,2,5,7,6,4,8,1] => ([(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4)],8) => ([(1,2),(1,3),(1,4),(2,5),(3,5),(4,6),(4,7),(5,6),(5,7)],8)

[.,[[[.,[.,.]],[[.,[.,.]],.]],.]] => [3,2,6,5,7,4,8,1] => ([(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8) => ([(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)

[.,[[[[.,.],.],[[[.,.],.],.]],.]] => [2,3,5,6,7,4,8,1] => ([(1,6),(2,7),(3,7),(4,5),(5,3),(6,2),(6,4)],8) => ([(1,3),(1,6),(2,7),(3,7),(5,2),(6,5),(7,4)],8)

[.,[[[.,[.,[.,.]]],[[.,.],.]],.]] => [4,3,2,6,7,5,8,1] => ([(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,4)],8) => ([(1,3),(1,4),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,2)],8)

[.,[[[.,[[.,.],[.,.]]],[.,.]],.]] => [3,5,4,2,7,6,8,1] => ([(1,6),(1,7),(2,3),(2,4),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) => ([(1,2),(1,3),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)

[.,[[[.,[[.,[.,.]],.]],[.,.]],.]] => [4,3,5,2,7,6,8,1] => ([(1,4),(2,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)

[.,[[[[.,[.,.]],[.,.]],[.,.]],.]] => [3,2,5,4,7,6,8,1] => ([(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => ([(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)

[.,[[[[[.,.],[.,.]],[.,.]],.],.]] => [2,4,3,6,5,7,8,1] => ([(1,3),(1,4),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7),(7,2)],8) => ([(1,4),(2,5),(2,6),(3,5),(3,6),(4,2),(4,3),(5,7),(6,7)],8)

[.,[[[[[[[.,.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,1] => ([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8) => ([(1,7),(3,4),(4,6),(5,3),(6,2),(7,5)],8)

[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]] => [1,8,7,6,5,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8) => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)

[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]] => [1,7,8,6,5,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8) => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8)

[[.,.],[.,[.,[.,[[[.,.],.],.]]]]] => [1,6,7,8,5,4,3,2] => ([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8) => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8)

[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8)

[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => ([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8) => ([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8)

[[.,.],[.,[[.,.],[.,[[.,.],.]]]]] => [1,4,7,8,6,5,3,2] => ([(0,4),(0,5),(0,7),(6,3),(7,1),(7,2),(7,6)],8) => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8)

[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => ([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8) => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8)

[[.,.],[[.,.],[[[[.,.],.],.],.]]] => [1,3,5,6,7,8,4,2] => ([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8) => ([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8)

[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]] => [1,4,3,8,7,6,5,2] => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8)

[[.,.],[[.,[.,.]],[.,[[.,.],.]]]] => [1,4,3,7,8,6,5,2] => ([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8) => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8)

[[.,.],[[[[.,.],.],.],[[.,.],.]]] => [1,3,4,5,7,8,6,2] => ([(0,3),(0,6),(4,7),(5,2),(6,4),(7,1),(7,5)],8) => ([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8)

[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)

[[.,.],[[.,[.,[[.,.],.]]],[.,.]]] => [1,5,6,4,3,8,7,2] => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8) => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8)

[[.,.],[[[.,[.,.]],[.,.]],[.,.]]] => [1,4,3,6,5,8,7,2] => ([(0,1),(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,3),(5,4),(6,3),(6,4)],8)

[[.,.],[[[.,.],[[[.,.],.],.]],.]] => [1,3,5,6,7,4,8,2] => ([(0,3),(0,6),(1,7),(2,7),(4,5),(5,2),(6,1),(6,4)],8) => ([(0,7),(1,3),(1,5),(2,6),(3,6),(4,2),(5,4),(6,7)],8)

[[.,.],[[[[.,.],[.,.]],[.,.]],.]] => [1,3,5,4,7,6,8,2] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(4,1),(4,2),(5,7),(6,7)],8) => ([(0,2),(0,3),(1,4),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)

[[.,.],[[[[[.,.],.],.],[.,.]],.]] => [1,3,4,5,7,6,8,2] => ([(0,3),(0,5),(1,7),(2,7),(4,6),(5,4),(6,1),(6,2)],8) => ([(0,7),(1,3),(1,4),(2,7),(3,6),(4,6),(5,2),(6,5)],8)

[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8) => ([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8)

[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]] => [2,1,8,7,6,5,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)

[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]] => [2,1,7,8,6,5,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8)

[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]] => [2,1,6,8,7,5,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)

[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]] => [2,1,7,6,8,5,4,3] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(6,2),(7,2)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)

[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(7,2)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8)

[[.,[.,.]],[.,[[.,.],[[.,.],.]]]] => [2,1,5,7,8,6,4,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(7,2),(7,4)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(5,6),(5,7)],8)

[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]] => [2,1,6,5,8,7,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)

[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]] => [2,1,7,6,5,8,4,3] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,2),(1,3),(1,4),(1,5),(1,6),(4,7),(5,7),(6,7)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)

[[.,[.,.]],[.,[[.,[[.,.],.]],.]]] => [2,1,6,7,5,8,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)

[[.,[.,.]],[.,[[[.,[.,.]],.],.]]] => [2,1,6,5,7,8,4,3] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(3,2),(6,3),(7,3)],8) => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)

[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(7,3)],8) => ([(0,3),(1,6),(1,7),(2,6),(2,7),(3,5),(4,6),(4,7),(5,4)],8)

[[.,[.,.]],[[.,.],[.,[[.,.],.]]]] => [2,1,4,7,8,6,5,3] => ([(0,6),(0,7),(1,6),(1,7),(5,4),(7,2),(7,3),(7,5)],8) => ([(0,7),(1,7),(2,5),(2,6),(3,4),(4,7),(7,5),(7,6)],8)

[[.,[.,.]],[[.,.],[[.,.],[.,.]]]] => [2,1,4,6,8,7,5,3] => ([(0,6),(0,7),(1,6),(1,7),(5,3),(5,4),(7,2),(7,5)],8) => ([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(7,5),(7,6)],8)

[[.,[.,.]],[[[.,.],.],[[.,.],.]]] => [2,1,4,5,7,8,6,3] => ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,2),(5,4),(7,5)],8) => ([(0,7),(1,5),(1,6),(2,3),(3,7),(4,5),(4,6),(7,4)],8)

[[.,[.,.]],[[.,[[.,.],.]],[.,.]]] => [2,1,5,6,4,8,7,3] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(2,4),(6,2),(7,3),(7,4)],8) => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(3,6),(3,7),(4,6),(4,7),(5,3)],8)

[[.,[.,.]],[[[.,.],[.,.]],[.,.]]] => [2,1,4,6,5,8,7,3] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(7,2),(7,3)],8) => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8)

[[.,[.,.]],[[.,[[.,.],[.,.]]],.]] => [2,1,5,7,6,4,8,3] => ([(0,4),(0,5),(0,6),(1,4),(1,5),(1,6),(2,7),(3,7),(5,7),(6,2),(6,3)],8) => ([(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8)

[[.,[.,.]],[[.,[[.,[.,.]],.]],.]] => [2,1,6,5,7,4,8,3] => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(5,4),(6,4),(7,2)],8) => ([(0,6),(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)

[[.,[.,.]],[[[.,[.,.]],[.,.]],.]] => [2,1,5,4,7,6,8,3] => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,2),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8)

[[.,[.,.]],[[[[[.,.],.],.],.],.]] => [2,1,4,5,6,7,8,3] => ([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(7,4)],8) => ([(0,6),(0,7),(1,5),(2,6),(2,7),(3,4),(4,2),(5,3)],8)

[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => ([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8) => ([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8)

[[[.,.],.],[.,[[[[.,.],.],.],.]]] => [1,2,5,6,7,8,4,3] => ([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8) => ([(0,7),(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8)

[[[.,.],.],[[.,.],[[[.,.],.],.]]] => [1,2,4,6,7,8,5,3] => ([(0,7),(4,5),(5,3),(6,2),(6,4),(7,1),(7,6)],8) => ([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8)

[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => ([(0,6),(2,7),(3,7),(4,7),(6,1),(6,2),(6,3),(6,4),(7,5)],8) => ([(0,7),(1,6),(2,7),(3,7),(4,7),(6,2),(6,3),(6,4),(7,5)],8)

[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]] => [3,2,1,8,7,6,5,4] => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8) => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)

[[.,[.,[.,.]]],[.,[[[.,.],.],.]]] => [3,2,1,6,7,8,5,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8) => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8)

[[.,[.,[.,.]]],[[.,.],[[.,.],.]]] => [3,2,1,5,7,8,6,4] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(4,5),(7,3),(7,4)],8) => ([(0,3),(1,7),(2,4),(2,5),(2,6),(3,7),(7,4),(7,5),(7,6)],8)

[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]] => [3,2,1,6,5,8,7,4] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8) => ([(0,5),(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8)

[[.,[[.,.],.]],[[.,[.,.]],[.,.]]] => [2,3,1,6,5,8,7,4] => ([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8) => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8)

[[[.,.],[.,.]],[[.,.],[[.,.],.]]] => [1,3,2,5,7,8,6,4] => ([(0,3),(0,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,1),(7,5)],8) => ([(0,3),(1,7),(2,5),(2,6),(3,7),(5,4),(6,4),(7,5),(7,6)],8)

[[[.,.],[.,.]],[[[[.,.],.],.],.]] => [1,3,2,5,6,7,8,4] => ([(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(4,1),(5,4),(7,5)],8) => ([(0,6),(0,7),(1,4),(2,6),(2,7),(3,2),(4,3),(6,5),(7,5)],8)

[[[[.,.],.],.],[.,[.,[.,[.,.]]]]] => [1,2,3,8,7,6,5,4] => ([(0,6),(6,7),(7,1),(7,2),(7,3),(7,4),(7,5)],8) => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,5)],8)

[[[[.,.],.],.],[[.,.],[[.,.],.]]] => [1,2,3,5,7,8,6,4] => ([(0,5),(4,3),(5,6),(6,2),(6,7),(7,1),(7,4)],8) => ([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8)

[[[[.,.],.],.],[[[.,.],[.,.]],.]] => [1,2,3,5,7,6,8,4] => ([(0,4),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5)],8) => ([(0,7),(1,3),(1,4),(3,6),(4,6),(5,2),(6,7),(7,5)],8)

[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => ([(0,6),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],8) => ([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8)

[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)

[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]] => [4,3,2,1,7,8,6,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8) => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)

[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => ([(0,3),(1,4),(1,5),(1,6),(1,7),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8) => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(7,4)],8)

[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8) => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,4),(4,5),(4,6),(4,7),(7,3)],8)

[[.,[.,[[.,.],.]]],[[.,.],[.,.]]] => [3,4,2,1,6,8,7,5] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(5,6),(5,7),(7,3),(7,4)],8) => ([(0,7),(1,7),(2,4),(2,5),(2,6),(6,3),(7,4),(7,5),(7,6)],8)

[[.,[[.,.],[.,.]]],[.,[[.,.],.]]] => [2,4,3,1,7,8,6,5] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,2)],8) => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)

[[.,[[.,.],[.,.]]],[[.,.],[.,.]]] => [2,4,3,1,6,8,7,5] => ([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8) => ([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8)

[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8) => ([(0,2),(0,3),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(6,4),(7,4)],8)

[[.,[[.,.],[.,.]]],[[[.,.],.],.]] => [2,4,3,1,6,7,8,5] => ([(0,6),(0,7),(1,3),(1,4),(3,6),(3,7),(4,6),(4,7),(5,2),(7,5)],8) => ([(0,2),(1,5),(1,6),(1,7),(2,3),(3,5),(3,6),(3,7),(6,4),(7,4)],8)

[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => ([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8) => ([(0,6),(0,7),(1,5),(2,5),(5,6),(5,7),(7,3),(7,4)],8)

[[.,[[.,[.,.]],.]],[[.,[.,.]],.]] => [3,2,4,1,7,6,8,5] => ([(0,7),(1,7),(2,4),(2,5),(2,6),(5,3),(6,3),(7,4),(7,5),(7,6)],8) => ([(0,6),(0,7),(1,4),(1,5),(4,6),(4,7),(5,6),(5,7),(7,2),(7,3)],8)

[[.,[[[.,.],.],.]],[[.,.],[.,.]]] => [2,3,4,1,6,8,7,5] => ([(0,6),(0,7),(1,5),(4,6),(4,7),(5,4),(7,2),(7,3)],8) => ([(0,6),(0,7),(1,5),(2,5),(3,4),(5,6),(5,7),(7,3)],8)

[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => ([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8) => ([(0,6),(0,7),(1,4),(3,6),(3,7),(4,3),(5,2),(7,5)],8)

[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)

[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => ([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)

[[[.,[.,.]],[.,.]],[[.,.],[.,.]]] => [2,1,4,3,6,8,7,5] => ([(0,6),(0,7),(1,6),(1,7),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,7),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8)

[[[.,[.,.]],[.,.]],[[.,[.,.]],.]] => [2,1,4,3,7,6,8,5] => ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,2),(6,4),(6,5),(7,2),(7,4),(7,5)],8) => ([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)

[[[.,[.,.]],[.,.]],[[[.,.],.],.]] => [2,1,4,3,6,7,8,5] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,2),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)

[[[.,[.,[.,.]]],.],[[[.,.],.],.]] => [3,2,1,4,6,7,8,5] => ([(0,7),(1,7),(2,7),(5,3),(6,5),(7,4),(7,6)],8) => ([(0,7),(1,6),(2,7),(6,2),(7,3),(7,4),(7,5)],8)

[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]] => [5,4,3,2,1,8,7,6] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)

[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]] => [5,4,3,2,1,7,8,6] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(7,5)],8) => ([(0,2),(1,3),(1,4),(1,5),(1,6),(1,7),(2,3),(2,4),(2,5),(2,6),(2,7)],8)

[[.,[.,[[[.,.],.],.]]],[.,[.,.]]] => [3,4,5,2,1,8,7,6] => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,3),(3,4),(4,5),(4,6),(4,7)],8) => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(3,4),(7,3)],8)

[[.,[[.,.],[[.,.],.]]],[[.,.],.]] => [2,4,5,3,1,7,8,6] => ([(0,6),(0,7),(1,4),(1,5),(3,6),(3,7),(4,6),(4,7),(5,3),(7,2)],8) => ([(0,3),(1,4),(1,5),(1,7),(2,6),(3,4),(3,5),(3,7),(5,2),(7,6)],8)

[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]] => [3,2,5,4,1,8,7,6] => ([(0,5),(0,6),(0,7),(1,3),(1,4),(2,3),(2,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7)],8) => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)

[[.,[[.,[.,.]],[.,.]]],[[.,.],.]] => [3,2,5,4,1,7,8,6] => ([(0,6),(0,7),(1,4),(1,5),(2,4),(2,5),(4,6),(4,7),(5,6),(5,7),(7,3)],8) => ([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(6,3),(6,4),(7,3),(7,4)],8)

[[.,[[[.,.],[.,.]],.]],[[.,.],.]] => [2,4,3,5,1,7,8,6] => ([(0,6),(0,7),(1,3),(1,4),(3,5),(4,5),(5,6),(5,7),(7,2)],8) => ([(0,6),(0,7),(1,2),(2,6),(2,7),(3,5),(4,5),(7,3),(7,4)],8)

[[[.,.],[[.,.],[.,.]]],[[.,.],.]] => [1,3,5,4,2,7,8,6] => ([(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(7,1)],8) => ([(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)

[[[.,.],[[[.,.],.],.]],[[.,.],.]] => [1,3,4,5,2,7,8,6] => ([(0,3),(0,5),(2,6),(2,7),(3,6),(3,7),(4,2),(5,4),(7,1)],8) => ([(0,6),(0,7),(1,3),(2,5),(3,6),(3,7),(4,2),(6,5),(7,4)],8)

[[[[.,.],.],[.,[.,.]]],[[.,.],.]] => [1,2,5,4,3,7,8,6] => ([(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3),(5,4),(7,1)],8) => ([(0,3),(1,4),(1,5),(1,6),(3,4),(3,5),(3,6),(4,7),(5,7),(6,7),(7,2)],8)

[[[[.,.],[.,.]],[.,.]],[[.,.],.]] => [1,3,2,5,4,7,8,6] => ([(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(5,1),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)

[[[[[.,.],.],.],[.,.]],[[.,.],.]] => [1,2,3,5,4,7,8,6] => ([(0,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,2),(5,3),(7,1)],8) => ([(0,6),(0,7),(1,3),(3,6),(3,7),(4,2),(5,4),(6,5),(7,5)],8)

[[[[.,.],[[.,.],.]],.],[[.,.],.]] => [1,3,4,2,5,7,8,6] => ([(0,4),(0,6),(2,7),(4,7),(5,1),(6,2),(7,3),(7,5)],8) => ([(0,7),(1,2),(2,7),(3,6),(4,6),(5,4),(7,3),(7,5)],8)

[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => ([(0,3),(0,4),(3,7),(4,7),(5,2),(6,1),(6,5),(7,6)],8) => ([(0,7),(1,2),(2,7),(3,6),(4,6),(5,3),(5,4),(7,5)],8)

[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => ([(0,6),(3,4),(4,7),(5,1),(6,3),(7,2),(7,5)],8) => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8)

[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]] => [6,5,4,3,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(1,5),(1,6),(1,7)],8)

[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]] => [5,6,4,3,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(5,6),(5,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(7,2)],8)

[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]] => [4,6,5,3,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(1,3),(1,4),(1,5),(1,6),(1,7),(6,2),(7,2)],8)

[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]] => [5,4,6,3,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,5),(4,5),(5,6),(5,7)],8) => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(7,2),(7,3)],8)

[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,4),(4,5),(5,6),(5,7)],8) => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(7,2)],8)

[[.,[.,[[.,.],[[.,.],.]]]],[.,.]] => [3,5,6,4,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(2,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(2,3),(6,2),(7,3)],8)

[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]] => [4,3,6,5,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,4),(0,5),(0,6),(0,7),(1,4),(1,5),(1,6),(1,7),(6,2),(6,3),(7,2),(7,3)],8)

[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]] => [5,4,3,6,2,1,8,7] => ([(0,5),(1,5),(2,5),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(7,2),(7,3),(7,4)],8)

[[.,[.,[[.,[[.,.],.]],.]]],[.,.]] => [4,5,3,6,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,4),(4,5),(5,6),(5,7)],8) => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,3),(7,2),(7,4)],8)

[[.,[.,[[[.,[.,.]],.],.]]],[.,.]] => [4,3,5,6,2,1,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,5),(3,5),(4,6),(4,7),(5,4)],8) => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(4,3),(7,4)],8)

[[.,[[.,.],[.,[[.,.],.]]]],[.,.]] => [2,5,6,4,3,1,8,7] => ([(0,6),(0,7),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8) => ([(0,3),(0,4),(0,5),(0,6),(1,3),(1,4),(1,5),(1,6),(2,7),(4,7),(5,7),(6,2)],8)

[[.,[[.,.],[[.,.],[.,.]]]],[.,.]] => [2,4,6,5,3,1,8,7] => ([(0,6),(0,7),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8) => ([(0,3),(0,5),(0,6),(0,7),(1,3),(1,5),(1,6),(1,7),(4,2),(5,4),(6,4),(7,2)],8)

[[.,[[[.,.],.],[[.,.],.]]],[.,.]] => [2,3,5,6,4,1,8,7] => ([(0,6),(0,7),(1,5),(2,6),(2,7),(3,6),(3,7),(4,3),(5,2),(5,4)],8) => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(3,4),(4,2),(6,3),(7,4)],8)

[[.,[[.,[[.,.],.]],[.,.]]],[.,.]] => [3,4,2,6,5,1,8,7] => ([(0,6),(0,7),(1,4),(1,5),(2,3),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,5),(0,6),(0,7),(1,5),(1,6),(1,7),(4,2),(6,3),(6,4),(7,3),(7,4)],8)

[[.,[[[.,.],[.,.]],[.,.]]],[.,.]] => [2,4,3,6,5,1,8,7] => ([(0,6),(0,7),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,3),(0,6),(0,7),(1,3),(1,6),(1,7),(4,2),(5,2),(6,4),(6,5),(7,4),(7,5)],8)

[[.,[[.,[[.,.],[.,.]]],.]],[.,.]] => [3,5,4,2,6,1,8,7] => ([(0,7),(1,5),(1,6),(2,3),(2,4),(3,7),(4,7),(7,5),(7,6)],8) => ([(0,6),(0,7),(1,6),(1,7),(3,5),(4,5),(7,2),(7,3),(7,4)],8)

[[.,[[.,[[.,[.,.]],.]],.]],[.,.]] => [4,3,5,2,6,1,8,7] => ([(0,4),(1,4),(2,7),(3,5),(3,6),(4,7),(7,5),(7,6)],8) => ([(0,6),(0,7),(1,6),(1,7),(5,3),(5,4),(7,2),(7,5)],8)

[[.,[[[.,[.,.]],[.,.]],.]],[.,.]] => [3,2,5,4,6,1,8,7] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(5,7),(6,7),(7,3),(7,4)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,4),(2,5),(3,4),(3,5),(7,2),(7,3)],8)

[[.,[[[[[.,.],.],.],.],.]],[.,.]] => [2,3,4,5,6,1,8,7] => ([(0,6),(0,7),(1,5),(2,6),(2,7),(3,4),(4,2),(5,3)],8) => ([(0,6),(0,7),(1,6),(1,7),(3,5),(4,3),(5,2),(7,4)],8)

[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)

[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8) => ([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2)],8)

[[[.,[.,.]],[[.,.],[.,.]]],[.,.]] => [2,1,4,6,5,3,8,7] => ([(0,4),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8) => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(4,6),(5,6),(6,2),(6,3),(7,2),(7,3)],8)

[[[.,[.,.]],[[.,[.,.]],.]],[.,.]] => [2,1,5,4,6,3,8,7] => ([(0,4),(0,5),(0,7),(1,4),(1,5),(1,7),(4,6),(5,6),(6,2),(6,3),(7,2),(7,3)],8) => ([(0,4),(0,5),(1,4),(1,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,2),(5,3)],8)

[[[.,[.,.]],[[[.,.],.],.]],[.,.]] => [2,1,4,5,6,3,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,5),(6,2),(7,4),(7,5)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,3),(3,4),(3,5),(6,2),(7,4),(7,5)],8)

[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,6),(0,7),(1,6),(1,7),(6,2),(6,3),(6,4),(6,5),(7,2),(7,3),(7,4),(7,5)],8)

[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,6),(0,7),(1,6),(1,7),(5,2),(6,3),(6,4),(6,5),(7,3),(7,4),(7,5)],8)

[[[.,[[.,.],[.,.]]],[.,.]],[.,.]] => [2,4,3,1,6,5,8,7] => ([(0,6),(0,7),(1,2),(1,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,6),(0,7),(1,6),(1,7),(4,3),(5,3),(6,2),(6,4),(6,5),(7,2),(7,4),(7,5)],8)

[[[.,[[.,[.,.]],.]],[.,.]],[.,.]] => [3,2,4,1,6,5,8,7] => ([(0,7),(1,7),(2,5),(2,6),(5,3),(5,4),(6,3),(6,4),(7,5),(7,6)],8) => ([(0,6),(0,7),(1,6),(1,7),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)

[[[.,[[[.,.],.],.]],[.,.]],[.,.]] => [2,3,4,1,6,5,8,7] => ([(0,2),(1,6),(1,7),(2,3),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,6),(0,7),(1,6),(1,7),(2,3),(5,2),(6,4),(6,5),(7,4),(7,5)],8)

[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,6),(0,7),(1,6),(1,7),(4,2),(4,3),(5,2),(5,3),(6,4),(6,5),(7,4),(7,5)],8)

[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.] => [7,6,5,4,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7)],8)

[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.] => [6,7,5,4,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(7,1)],8)

[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.] => [6,5,7,4,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,1),(7,2)],8)

[[.,[.,[.,[.,[[[.,.],.],.]]]]],.] => [5,6,7,4,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,6),(6,7)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,7),(6,1),(7,6)],8)

[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.] => [5,4,7,6,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,7)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(4,6),(4,7),(5,6),(5,7)],8)

[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.] => [6,5,4,7,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,6),(6,7)],8) => ([(0,4),(0,5),(0,6),(0,7),(7,1),(7,2),(7,3)],8)

[[.,[.,[.,[[.,[[.,.],.]],.]]]],.] => [5,6,4,7,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(6,7)],8) => ([(0,3),(0,4),(0,5),(0,7),(6,2),(7,1),(7,6)],8)

[[.,[.,[.,[[[.,[.,.]],.],.]]]],.] => [5,4,6,7,3,2,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(5,7),(6,5)],8) => ([(0,3),(0,4),(0,5),(0,6),(6,7),(7,1),(7,2)],8)

[[.,[.,[.,[[[[.,.],.],.],.]]]],.] => [4,5,6,7,3,2,1,8] => ([(0,4),(1,7),(2,7),(3,7),(4,6),(5,7),(6,5)],8) => ([(0,2),(0,3),(0,4),(0,7),(5,6),(6,1),(7,5)],8)

[[.,[.,[[[.,.],.],[.,[.,.]]]]],.] => [3,4,7,6,5,2,1,8] => ([(0,7),(1,7),(2,6),(3,7),(4,7),(5,7),(6,3),(6,4),(6,5)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(4,7),(5,7),(6,7),(7,1)],8)

[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.] => [6,5,4,3,7,2,1,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(5,6),(7,6)],8) => ([(0,5),(0,6),(0,7),(7,1),(7,2),(7,3),(7,4)],8)

[[.,[.,[[.,[.,[[.,.],.]]],.]]],.] => [5,6,4,3,7,2,1,8] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(5,7),(7,6)],8) => ([(0,4),(0,5),(0,7),(6,3),(7,1),(7,2),(7,6)],8)

[[.,[.,[[.,[[.,[.,.]],.]],.]]],.] => [5,4,6,3,7,2,1,8] => ([(0,6),(1,7),(2,7),(3,5),(4,5),(5,6),(6,7)],8) => ([(0,4),(0,5),(0,7),(6,2),(6,3),(7,1),(7,6)],8)

[[.,[.,[[[.,[.,[.,.]]],.],.]]],.] => [5,4,3,6,7,2,1,8] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(5,7),(6,5)],8) => ([(0,4),(0,5),(0,6),(6,7),(7,1),(7,2),(7,3)],8)

[[.,[[.,.],[.,[[.,.],[.,.]]]]],.] => [2,5,7,6,4,3,1,8] => ([(0,7),(1,4),(1,5),(1,6),(2,7),(3,7),(4,7),(5,7),(6,2),(6,3)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,7),(3,7),(4,6),(5,6),(6,7)],8)

[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.] => [3,2,7,6,5,4,1,8] => ([(0,7),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(5,6),(5,7)],8)

[[.,[[.,[.,.]],[.,[[.,.],.]]]],.] => [3,2,6,7,5,4,1,8] => ([(0,7),(1,4),(1,5),(1,6),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,3)],8) => ([(0,2),(0,3),(0,4),(0,5),(1,6),(1,7),(3,6),(3,7),(4,6),(4,7),(5,1)],8)

[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.] => [5,4,3,2,7,6,1,8] => ([(0,6),(0,7),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,5),(6,5),(7,5)],8) => ([(0,1),(0,2),(0,3),(2,4),(2,5),(2,6),(2,7),(3,4),(3,5),(3,6),(3,7)],8)

[[.,[[.,[.,[[.,.],.]]],[.,.]]],.] => [4,5,3,2,7,6,1,8] => ([(0,5),(1,6),(1,7),(2,6),(2,7),(3,4),(4,6),(4,7),(6,5),(7,5)],8) => ([(0,2),(0,3),(0,4),(3,5),(3,6),(3,7),(4,5),(4,6),(4,7),(7,1)],8)

[[.,[[[.,[.,.]],[.,.]],[.,.]]],.] => [3,2,5,4,7,6,1,8] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,7),(4,7),(5,3),(5,4),(6,3),(6,4)],8) => ([(0,1),(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(6,4),(6,5),(7,4),(7,5)],8)

[[.,[[[[[.,.],.],.],.],[.,.]]],.] => [2,3,4,5,7,6,1,8] => ([(0,7),(1,5),(2,7),(3,7),(4,6),(5,4),(6,2),(6,3)],8) => ([(0,2),(0,3),(0,4),(3,7),(4,7),(5,1),(6,5),(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) => ([(0,6),(0,7),(7,1),(7,2),(7,3),(7,4),(7,5)],8)

[[.,[[.,[.,[.,[[.,.],.]]]],.]],.] => [5,6,4,3,2,7,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,7),(7,6)],8) => ([(0,5),(0,7),(6,4),(7,1),(7,2),(7,3),(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) => ([(0,5),(0,7),(6,3),(6,4),(7,1),(7,2),(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) => ([(0,5),(0,6),(6,4),(6,7),(7,1),(7,2),(7,3)],8)

[[.,[[.,[[.,[[.,.],.]],.]],.]],.] => [4,5,3,6,2,7,1,8] => ([(0,6),(1,7),(2,5),(3,4),(4,7),(5,6),(7,5)],8) => ([(0,4),(0,7),(5,3),(6,2),(6,5),(7,1),(7,6)],8)

[[.,[[.,[[[.,[.,.]],.],.]],.]],.] => [4,3,5,6,2,7,1,8] => ([(0,6),(1,6),(2,7),(3,5),(4,7),(6,4),(7,5)],8) => ([(0,4),(0,7),(5,6),(6,2),(6,3),(7,1),(7,5)],8)

[[.,[[.,[[[[.,.],.],.],.]],.]],.] => [3,4,5,6,2,7,1,8] => ([(0,7),(1,3),(2,6),(3,5),(4,7),(5,4),(7,6)],8) => ([(0,3),(0,7),(4,6),(5,2),(6,5),(7,1),(7,4)],8)

[[.,[[[[.,[.,[.,.]]],.],.],.]],.] => [4,3,2,5,6,7,1,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(5,6),(7,4)],8) => ([(0,4),(0,6),(5,7),(6,5),(7,1),(7,2),(7,3)],8)

[[.,[[[[.,[[.,.],.]],.],.],.]],.] => [3,4,2,5,6,7,1,8] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(5,6),(7,4)],8) => ([(0,3),(0,6),(4,7),(5,2),(6,4),(7,1),(7,5)],8)

[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => ([(0,7),(1,6),(2,6),(3,5),(4,7),(5,4),(6,3)],8) => ([(0,3),(0,6),(4,5),(5,7),(6,4),(7,1),(7,2)],8)

[[.,[[[[[[.,.],.],.],.],.],.]],.] => [2,3,4,5,6,7,1,8] => ([(0,7),(1,6),(2,7),(3,5),(4,3),(5,2),(6,4)],8) => ([(0,2),(0,7),(3,4),(4,6),(5,3),(6,1),(7,5)],8)

[[[.,.],[.,[.,[.,[[.,.],.]]]]],.] => [1,6,7,5,4,3,2,8] => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,1)],8)

[[[.,.],[[.,.],[[.,.],[.,.]]]],.] => [1,3,5,7,6,4,2,8] => ([(0,4),(0,6),(1,7),(2,7),(3,7),(4,7),(5,2),(5,3),(6,1),(6,5)],8) => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)

[[[.,.],[[.,.],[[[.,.],.],.]]],.] => [1,3,5,6,7,4,2,8] => ([(0,3),(0,6),(1,7),(2,7),(3,7),(4,5),(5,2),(6,1),(6,4)],8) => ([(0,2),(0,3),(0,5),(1,6),(2,7),(3,6),(4,1),(5,4),(6,7)],8)

[[[.,.],[[[.,.],.],[[.,.],.]]],.] => [1,3,4,6,7,5,2,8] => ([(0,3),(0,5),(1,7),(2,7),(3,7),(4,2),(5,6),(6,1),(6,4)],8) => ([(0,3),(0,4),(0,5),(1,7),(2,6),(3,7),(4,6),(5,1),(7,2)],8)

[[[.,.],[[[.,.],[.,.]],[.,.]]],.] => [1,3,5,4,7,6,2,8] => ([(0,3),(0,4),(1,5),(1,6),(2,5),(2,6),(3,7),(4,1),(4,2),(5,7),(6,7)],8) => ([(0,1),(0,2),(0,3),(1,4),(2,6),(2,7),(3,6),(3,7),(5,4),(6,5),(7,5)],8)

[[[.,.],[[[[.,.],.],.],[.,.]]],.] => [1,3,4,5,7,6,2,8] => ([(0,3),(0,5),(1,7),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2)],8) => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(7,5)],8)

[[[.,.],[[[.,.],[[.,.],.]],.]],.] => [1,3,5,6,4,7,2,8] => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(6,7)],8) => ([(0,3),(0,5),(1,6),(2,6),(3,7),(4,2),(5,1),(5,4),(6,7)],8)

[[[.,.],[[[[[.,.],.],.],.],.]],.] => [1,3,4,5,6,7,2,8] => ([(0,2),(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,4)],8) => ([(0,2),(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,4)],8)

[[[[.,.],.],[.,[[[.,.],.],.]]],.] => [1,2,5,6,7,4,3,8] => ([(0,6),(1,7),(2,7),(3,7),(4,5),(5,3),(6,1),(6,2),(6,4)],8) => ([(0,3),(0,4),(0,6),(1,7),(3,7),(4,7),(5,1),(6,5),(7,2)],8)

[[[[.,.],[.,.]],[[.,.],[.,.]]],.] => [1,3,2,5,7,6,4,8] => ([(0,3),(0,4),(1,7),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,1),(6,2)],8) => ([(0,1),(0,2),(0,3),(1,7),(2,7),(3,5),(3,6),(5,4),(6,4),(7,5),(7,6)],8)

[[[[.,.],[.,.]],[[[.,.],.],.]],.] => [1,3,2,5,6,7,4,8] => ([(0,2),(0,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,4)],8) => ([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3),(5,7),(6,7)],8)

[[[[[.,.],.],.],[[.,.],[.,.]]],.] => [1,2,3,5,7,6,4,8] => ([(0,4),(1,7),(2,7),(3,7),(4,6),(5,2),(5,3),(6,1),(6,5)],8) => ([(0,2),(0,3),(0,4),(2,7),(3,6),(4,6),(5,1),(6,7),(7,5)],8)

[[[[[.,.],.],.],[[[.,.],.],.]],.] => [1,2,3,5,6,7,4,8] => ([(0,5),(1,7),(2,7),(3,4),(4,1),(5,6),(6,2),(6,3)],8) => ([(0,3),(0,6),(2,7),(3,7),(4,2),(5,1),(6,4),(7,5)],8)

[[[[.,.],[.,[.,[.,.]]]],[.,.]],.] => [1,5,4,3,2,7,6,8] => ([(0,1),(0,2),(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,6),(4,7),(6,5),(7,5)],8) => ([(0,1),(0,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4),(2,5),(2,6),(3,7),(4,7),(5,7),(6,7)],8)

[[[[.,.],[[.,.],[.,.]]],[.,.]],.] => [1,3,5,4,2,7,6,8] => ([(0,3),(0,4),(1,6),(1,7),(2,6),(2,7),(3,6),(3,7),(4,1),(4,2),(6,5),(7,5)],8) => ([(0,1),(0,2),(1,5),(1,6),(1,7),(2,5),(2,6),(2,7),(4,3),(5,4),(6,4),(7,3)],8)

[[[[.,.],[[[.,.],.],.]],[.,.]],.] => [1,3,4,5,2,7,6,8] => ([(0,2),(0,4),(1,5),(1,6),(2,5),(2,6),(3,1),(4,3),(5,7),(6,7)],8) => ([(0,2),(0,3),(1,7),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,4)],8)

[[[[.,[[.,.],.]],[.,.]],[.,.]],.] => [2,3,1,5,4,7,6,8] => ([(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,2),(0,3),(2,6),(2,7),(3,6),(3,7),(5,1),(6,4),(6,5),(7,4),(7,5)],8)

[[[[[.,.],[.,.]],[.,.]],[.,.]],.] => [1,3,2,5,4,7,6,8] => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8) => ([(0,1),(0,2),(1,6),(1,7),(2,6),(2,7),(4,3),(5,3),(6,4),(6,5),(7,4),(7,5)],8)

[[[[[[.,.],.],.],[.,.]],[.,.]],.] => [1,2,3,5,4,7,6,8] => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2),(5,7),(6,7)],8) => ([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7),(7,4)],8)

[[[[[.,.],[[.,.],.]],.],[.,.]],.] => [1,3,4,2,5,7,6,8] => ([(0,4),(0,5),(1,7),(2,6),(3,6),(4,7),(5,1),(7,2),(7,3)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,2),(7,1),(7,5)],8)

[[[[[[.,.],.],[.,.]],.],[.,.]],.] => [1,2,4,3,5,7,6,8] => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8) => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)

[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8) => ([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)

[[[[[[[.,.],.],.],.],.],[.,.]],.] => [1,2,3,4,5,7,6,8] => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8) => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8)

[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.] => [6,5,4,3,2,1,7,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,7),(7,6)],8) => ([(0,7),(7,1),(7,2),(7,3),(7,4),(7,5),(7,6)],8)

[[[.,[.,[.,[.,[[.,.],.]]]]],.],.] => [5,6,4,3,2,1,7,8] => ([(0,7),(1,7),(2,7),(3,7),(4,5),(5,7),(7,6)],8) => ([(0,7),(6,5),(7,1),(7,2),(7,3),(7,4),(7,6)],8)

[[[.,[.,[.,[[.,[.,.]],.]]]],.],.] => [5,4,6,3,2,1,7,8] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(6,7),(7,5)],8) => ([(0,7),(6,4),(6,5),(7,1),(7,2),(7,3),(7,6)],8)

[[[.,[.,[.,[[[.,.],.],.]]]],.],.] => [4,5,6,3,2,1,7,8] => ([(0,7),(1,7),(2,7),(3,4),(4,6),(6,7),(7,5)],8) => ([(0,7),(5,6),(6,4),(7,1),(7,2),(7,3),(7,5)],8)

[[[.,[.,[[.,.],[.,[.,.]]]]],.],.] => [3,6,5,4,2,1,7,8] => ([(0,7),(1,7),(2,3),(2,4),(2,5),(3,7),(4,7),(5,7),(7,6)],8) => ([(0,6),(3,7),(4,7),(5,7),(6,1),(6,2),(6,3),(6,4),(6,5)],8)

[[[.,[.,[[.,[.,[.,.]]],.]]],.],.] => [5,4,3,6,2,1,7,8] => ([(0,7),(1,7),(2,6),(3,6),(4,6),(6,7),(7,5)],8) => ([(0,7),(6,3),(6,4),(6,5),(7,1),(7,2),(7,6)],8)

[[[.,[.,[[[[.,.],.],.],.]]],.],.] => [3,4,5,6,2,1,7,8] => ([(0,7),(1,7),(2,6),(3,7),(5,3),(6,5),(7,4)],8) => ([(0,7),(4,6),(5,3),(6,5),(7,1),(7,2),(7,4)],8)

[[[.,[[[[.,.],.],.],[.,.]]],.],.] => [2,3,4,6,5,1,7,8] => ([(0,7),(1,5),(2,7),(3,7),(5,6),(6,2),(6,3),(7,4)],8) => ([(0,6),(3,7),(4,7),(5,2),(6,1),(6,3),(6,4),(7,5)],8)

[[[.,[[.,[.,[.,[.,.]]]],.]],.],.] => [5,4,3,2,6,1,7,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,6)],8) => ([(0,6),(6,5),(6,7),(7,1),(7,2),(7,3),(7,4)],8)

[[[.,[[.,[.,[[.,.],.]]],.]],.],.] => [4,5,3,2,6,1,7,8] => ([(0,7),(1,7),(2,6),(3,4),(4,7),(6,5),(7,6)],8) => ([(0,6),(5,4),(6,3),(6,7),(7,1),(7,2),(7,5)],8)

[[[.,[[.,[[.,[.,.]],.]],.]],.],.] => [4,3,5,2,6,1,7,8] => ([(0,6),(1,7),(2,5),(3,5),(5,6),(6,7),(7,4)],8) => ([(0,7),(5,2),(5,6),(6,3),(6,4),(7,1),(7,5)],8)

[[[.,[[.,[[[.,.],.],.]],.]],.],.] => [3,4,5,2,6,1,7,8] => ([(0,7),(1,6),(2,4),(4,5),(5,6),(6,7),(7,3)],8) => ([(0,7),(4,5),(5,3),(6,2),(6,4),(7,1),(7,6)],8)

[[[.,[[[.,[.,[.,.]]],.],.]],.],.] => [4,3,2,5,6,1,7,8] => ([(0,7),(1,7),(2,7),(3,6),(4,6),(6,5),(7,4)],8) => ([(0,6),(5,7),(6,4),(6,5),(7,1),(7,2),(7,3)],8)

[[[.,[[[.,[[.,.],.]],.],.]],.],.] => [3,4,2,5,6,1,7,8] => ([(0,6),(1,7),(2,3),(3,7),(5,6),(6,4),(7,5)],8) => ([(0,7),(4,6),(5,3),(6,2),(6,5),(7,1),(7,4)],8)

[[[.,[[[[.,[.,.]],.],.],.]],.],.] => [3,2,4,5,6,1,7,8] => ([(0,6),(1,6),(2,7),(4,5),(5,7),(6,4),(7,3)],8) => ([(0,7),(4,5),(5,6),(6,2),(6,3),(7,1),(7,4)],8)

[[[.,[[[[[.,.],.],.],.],.]],.],.] => [2,3,4,5,6,1,7,8] => ([(0,7),(1,6),(2,7),(4,5),(5,2),(6,4),(7,3)],8) => ([(0,7),(3,4),(4,6),(5,3),(6,1),(7,2),(7,5)],8)

[[[[.,.],[[.,.],[[.,.],.]]],.],.] => [1,3,5,6,4,2,7,8] => ([(0,4),(0,6),(1,7),(2,7),(4,7),(5,2),(6,1),(6,5),(7,3)],8) => ([(0,5),(1,7),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4),(6,7)],8)

[[[[.,.],[[[[.,.],.],.],.]],.],.] => [1,3,4,5,6,2,7,8] => ([(0,3),(0,6),(1,7),(3,7),(4,5),(5,1),(6,4),(7,2)],8) => ([(0,6),(1,7),(2,7),(3,5),(4,3),(5,1),(6,2),(6,4)],8)

[[[[[.,.],[.,.]],[[.,.],.]],.],.] => [1,3,2,5,6,4,7,8] => ([(0,3),(0,4),(2,7),(3,5),(3,6),(4,5),(4,6),(5,7),(6,2),(7,1)],8) => ([(0,4),(1,5),(1,6),(2,5),(2,6),(3,2),(4,1),(4,3),(5,7),(6,7)],8)

[[[[[[.,.],.],.],[[.,.],.]],.],.] => [1,2,3,5,6,4,7,8] => ([(0,5),(1,7),(2,7),(4,2),(5,6),(6,1),(6,4),(7,3)],8) => ([(0,6),(2,7),(3,7),(4,3),(5,1),(6,2),(6,4),(7,5)],8)

[[[[[[.,.],[.,.]],.],[.,.]],.],.] => [1,3,2,4,6,5,7,8] => ([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)

[[[[.,[.,[.,[.,[.,.]]]]],.],.],.] => [5,4,3,2,1,6,7,8] => ([(0,7),(1,7),(2,7),(3,7),(4,7),(5,6),(7,5)],8) => ([(0,6),(6,7),(7,1),(7,2),(7,3),(7,4),(7,5)],8)

[[[[.,[.,[.,[[.,.],.]]]],.],.],.] => [4,5,3,2,1,6,7,8] => ([(0,7),(1,7),(2,7),(3,4),(4,7),(5,6),(7,5)],8) => ([(0,6),(5,4),(6,7),(7,1),(7,2),(7,3),(7,5)],8)

[[[[.,[.,[[.,[.,.]],.]]],.],.],.] => [4,3,5,2,1,6,7,8] => ([(0,7),(1,7),(2,6),(3,6),(4,5),(6,7),(7,4)],8) => ([(0,5),(5,7),(6,3),(6,4),(7,1),(7,2),(7,6)],8)

[[[[.,[.,[[[.,.],.],.]]],.],.],.] => [3,4,5,2,1,6,7,8] => ([(0,7),(1,7),(2,5),(4,7),(5,4),(6,3),(7,6)],8) => ([(0,6),(4,5),(5,3),(6,7),(7,1),(7,2),(7,4)],8)

[[[[.,[[.,[.,.]],[.,.]]],.],.],.] => [3,2,5,4,1,6,7,8] => ([(0,7),(1,5),(1,6),(2,5),(2,6),(3,4),(5,7),(6,7),(7,3)],8) => ([(0,4),(2,6),(2,7),(3,6),(3,7),(4,5),(5,1),(5,2),(5,3)],8)

[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => ([(0,7),(1,6),(3,7),(4,7),(5,2),(6,3),(6,4),(7,5)],8) => ([(0,5),(2,7),(3,7),(5,6),(6,1),(6,2),(6,3),(7,4)],8)

[[[[.,[[.,[.,[.,.]]],.]],.],.],.] => [4,3,2,5,1,6,7,8] => ([(0,7),(1,7),(2,7),(3,6),(4,5),(6,4),(7,6)],8) => ([(0,5),(5,6),(6,4),(6,7),(7,1),(7,2),(7,3)],8)

[[[[.,[[.,[[.,.],.]],.]],.],.],.] => [3,4,2,5,1,6,7,8] => ([(0,7),(1,6),(2,3),(3,7),(4,5),(6,4),(7,6)],8) => ([(0,5),(4,3),(5,6),(6,2),(6,7),(7,1),(7,4)],8)

[[[[.,[[[.,[.,.]],.],.]],.],.],.] => [3,2,4,5,1,6,7,8] => ([(0,7),(1,6),(2,6),(3,5),(4,7),(6,4),(7,3)],8) => ([(0,5),(4,7),(5,6),(6,3),(6,4),(7,1),(7,2)],8)

[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => ([(0,7),(1,5),(3,7),(4,3),(5,4),(6,2),(7,6)],8) => ([(0,6),(3,5),(4,3),(5,1),(6,7),(7,2),(7,4)],8)

[[[[[.,.],[.,[[.,.],.]]],.],.],.] => [1,4,5,3,2,6,7,8] => ([(0,3),(0,4),(0,6),(2,7),(3,7),(4,7),(5,1),(6,2),(7,5)],8) => ([(0,5),(1,7),(2,7),(3,7),(4,3),(5,6),(6,1),(6,2),(6,4)],8)

[[[[[.,.],[[[.,.],.],.]],.],.],.] => [1,3,4,5,2,6,7,8] => ([(0,3),(0,6),(2,7),(3,7),(4,2),(5,1),(6,4),(7,5)],8) => ([(0,5),(1,7),(2,7),(3,4),(4,1),(5,6),(6,2),(6,3)],8)

[[[[[[.,.],[.,.]],[.,.]],.],.],.] => [1,3,2,5,4,6,7,8] => ([(0,2),(0,3),(2,5),(2,6),(3,5),(3,6),(4,1),(5,7),(6,7),(7,4)],8) => ([(0,3),(1,5),(1,6),(2,5),(2,6),(3,4),(4,1),(4,2),(5,7),(6,7)],8)

[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8) => ([(0,5),(2,7),(3,7),(4,1),(5,6),(6,2),(6,3),(7,4)],8)

[[[[[.,[.,[.,[.,.]]]],.],.],.],.] => [4,3,2,1,5,6,7,8] => ([(0,7),(1,7),(2,7),(3,7),(4,6),(6,5),(7,4)],8) => ([(0,6),(5,7),(6,5),(7,1),(7,2),(7,3),(7,4)],8)

[[[[[.,[.,[[.,.],.]]],.],.],.],.] => [3,4,2,1,5,6,7,8] => ([(0,7),(1,7),(2,4),(4,7),(5,3),(6,5),(7,6)],8) => ([(0,6),(4,7),(5,3),(6,4),(7,1),(7,2),(7,5)],8)

[[[[[.,[[.,.],[.,.]]],.],.],.],.] => [2,4,3,1,5,6,7,8] => ([(0,7),(1,3),(1,4),(3,7),(4,7),(5,2),(6,5),(7,6)],8) => ([(0,5),(2,7),(3,7),(4,6),(5,4),(6,1),(6,2),(6,3)],8)

[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => ([(0,7),(1,6),(2,6),(3,5),(5,4),(6,7),(7,3)],8) => ([(0,5),(4,7),(5,4),(6,2),(6,3),(7,1),(7,6)],8)

[[[[[.,[[[.,.],.],.]],.],.],.],.] => [2,3,4,1,5,6,7,8] => ([(0,7),(1,5),(3,7),(4,2),(5,3),(6,4),(7,6)],8) => ([(0,6),(3,7),(4,5),(5,1),(6,3),(7,2),(7,4)],8)

[[[[[[.,.],[[.,.],.]],.],.],.],.] => [1,3,4,2,5,6,7,8] => ([(0,3),(0,6),(2,7),(3,7),(4,1),(5,4),(6,2),(7,5)],8) => ([(0,5),(1,7),(2,7),(3,6),(4,1),(5,3),(6,2),(6,4)],8)

[[[[[[.,[.,[.,.]]],.],.],.],.],.] => [3,2,1,4,5,6,7,8] => ([(0,7),(1,7),(2,7),(4,5),(5,3),(6,4),(7,6)],8) => ([(0,6),(4,5),(5,7),(6,4),(7,1),(7,2),(7,3)],8)

[[[[[[.,[[.,.],.]],.],.],.],.],.] => [2,3,1,4,5,6,7,8] => ([(0,7),(1,3),(3,7),(4,5),(5,2),(6,4),(7,6)],8) => ([(0,6),(3,4),(4,7),(5,1),(6,3),(7,2),(7,5)],8)

[[[[[[[.,.],[.,.]],.],.],.],.],.] => [1,3,2,4,5,6,7,8] => ([(0,2),(0,3),(2,7),(3,7),(4,5),(5,1),(6,4),(7,6)],8) => ([(0,5),(1,7),(2,7),(3,4),(4,6),(5,3),(6,1),(6,2)],8)

[[[[[[[.,[.,.]],.],.],.],.],.],.] => [2,1,3,4,5,6,7,8] => ([(0,7),(1,7),(3,5),(4,3),(5,2),(6,4),(7,6)],8) => ([(0,6),(3,5),(4,3),(5,7),(6,4),(7,1),(7,2)],8)

[[[[[[[[.,.],.],.],.],.],.],.],.] => [1,2,3,4,5,6,7,8] => ([(0,7),(2,4),(3,2),(4,6),(5,3),(6,1),(7,5)],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) => ([],9)

[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]] => [8,9,7,6,5,4,3,2,1] => ([(7,8)],9) => ([(7,8)],9)

[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]] => [7,8,9,6,5,4,3,2,1] => ([(6,7),(7,8)],9) => ([(6,7),(7,8)],9)

[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]] => [6,7,8,9,5,4,3,2,1] => ([(5,6),(6,8),(8,7)],9) => ([(5,6),(6,8),(8,7)],9)

[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]] => [5,6,7,8,9,4,3,2,1] => ([(4,5),(5,8),(7,6),(8,7)],9) => ([(4,5),(5,8),(7,6),(8,7)],9)

[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]] => [4,5,6,7,8,9,3,2,1] => ([(3,8),(5,7),(6,5),(7,4),(8,6)],9) => ([(3,8),(5,7),(6,5),(7,4),(8,6)],9)

[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]] => [3,4,5,6,7,8,9,2,1] => ([(2,8),(4,5),(5,7),(6,4),(7,3),(8,6)],9) => ([(2,8),(4,5),(5,7),(6,4),(7,3),(8,6)],9)

[.,[[[[[[[[.,.],.],.],.],.],.],.],.]] => [2,3,4,5,6,7,8,9,1] => ([(1,8),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],9) => ([(1,8),(3,5),(4,3),(5,7),(6,4),(7,2),(8,6)],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) => ([(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) => ([],10)

[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]] => [9,10,8,7,6,5,4,3,2,1] => ([(8,9)],10) => ([(8,9)],10)

[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]] => [8,9,10,7,6,5,4,3,2,1] => ([(7,8),(8,9)],10) => ([(7,8),(8,9)],10)

[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]] => [7,8,9,10,6,5,4,3,2,1] => ([(6,7),(7,9),(9,8)],10) => ([(6,7),(7,9),(9,8)],10)

[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]] => [6,7,8,9,10,5,4,3,2,1] => ([(5,6),(6,9),(8,7),(9,8)],10) => ([(5,6),(6,9),(8,7),(9,8)],10)

[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]] => [5,6,7,8,9,10,4,3,2,1] => ([(4,5),(5,9),(7,8),(8,6),(9,7)],10) => ([(4,5),(5,9),(7,8),(8,6),(9,7)],10)

[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]] => [4,5,6,7,8,9,10,3,2,1] => ([(3,9),(5,6),(6,8),(7,5),(8,4),(9,7)],10) => ([(3,9),(5,6),(6,8),(7,5),(8,4),(9,7)],10)

[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]] => [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) => ([(2,9),(4,6),(5,4),(6,8),(7,5),(8,3),(9,7)],10)

[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]] => [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) => ([(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] => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10) => ([(0,9),(2,4),(3,2),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)

[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.] => [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) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8)],9)

[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.] => [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) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9)],10)

[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.] => [5,6,4,7,3,8,2,9,1,10] => ([(0,6),(1,9),(2,7),(3,8),(4,5),(5,9),(6,8),(8,7),(9,6)],10) => ([(0,5),(0,9),(6,4),(7,3),(7,8),(8,1),(8,6),(9,2),(9,7)],10)

[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7,10,9] => ([(0,8),(0,9),(1,8),(1,9),(4,6),(4,7),(5,6),(5,7),(6,2),(6,3),(7,2),(7,3),(8,4),(8,5),(9,4),(9,5)],10) => ([(0,8),(0,9),(1,8),(1,9),(4,6),(4,7),(5,6),(5,7),(6,2),(6,3),(7,2),(7,3),(8,4),(8,5),(9,4),(9,5)],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) => ([(1,10),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,2),(10,8)],11)

[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.] => [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) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1)],9)

[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.] => [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) => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10)],11)

[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.] => [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) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(9,1)],10)

[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.] => [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) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(8,1),(8,2)],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) => ([(0,8),(8,1),(8,2),(8,3),(8,4),(8,5),(8,6),(8,7)],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) => ([(0,7),(7,8),(8,1),(8,2),(8,3),(8,4),(8,5),(8,6)],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) => ([(0,7),(6,8),(7,6),(8,1),(8,2),(8,3),(8,4),(8,5)],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) => ([(0,7),(5,6),(6,8),(7,5),(8,1),(8,2),(8,3),(8,4)],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) => ([(0,7),(4,6),(5,4),(6,8),(7,5),(8,1),(8,2),(8,3)],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) => ([(0,7),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(8,2)],9)

[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.] => [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) => ([(0,9),(9,1),(9,2),(9,3),(9,4),(9,5),(9,6),(9,7),(9,8)],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) => ([(0,8),(8,9),(9,1),(9,2),(9,3),(9,4),(9,5),(9,6),(9,7)],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) => ([(0,8),(7,9),(8,7),(9,1),(9,2),(9,3),(9,4),(9,5),(9,6)],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) => ([(0,8),(6,7),(7,9),(8,6),(9,1),(9,2),(9,3),(9,4),(9,5)],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) => ([(0,8),(5,7),(6,9),(7,6),(8,5),(9,1),(9,2),(9,3),(9,4)],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) => ([(0,8),(4,5),(5,7),(6,4),(7,9),(8,6),(9,1),(9,2),(9,3)],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) => ([(0,8),(3,5),(4,3),(5,7),(6,4),(7,9),(8,6),(9,1),(9,2)],10)

[[.,[[[[[[[.,.],.],.],.],.],.],.]],.] => [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) => ([(0,2),(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,6)],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) => ([(0,7),(3,5),(4,3),(5,8),(6,1),(7,4),(8,2),(8,6)],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) => ([(0,8),(3,5),(4,3),(5,7),(6,4),(7,1),(8,2),(8,6)],9)

[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.] => [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) => ([(0,8),(3,4),(4,6),(5,3),(6,9),(7,1),(8,5),(9,2),(9,7)],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) => ([(0,2),(0,9),(3,4),(4,6),(5,3),(6,8),(7,5),(8,1),(9,7)],10)

[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.] => [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) => ([(0,10),(2,3),(3,5),(4,2),(5,7),(6,4),(7,9),(8,6),(9,1),(10,8)],11)

[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.] => [6,7,8,5,4,3,2,1,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,7),(7,8)],9) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,8),(7,1),(8,7)],9)

[[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]],.] => [6,5,7,8,4,3,2,1,9] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,8),(7,6)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,7),(7,8),(8,1),(8,2)],9)

[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.] => [7,8,9,6,5,4,3,2,1,10] => ([(0,9),(1,9),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(8,9)],10) => ([(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,9),(8,1),(9,8)],10)

[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.] => [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) => ([(0,7),(0,8),(8,1),(8,2),(8,3),(8,4),(8,5),(8,6)],9)

[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.] => [7,6,5,8,4,3,2,1,9] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,7),(6,7),(7,8)],9) => ([(0,4),(0,5),(0,6),(0,7),(0,8),(8,1),(8,2),(8,3)],9)

[[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]],.] => [6,7,5,8,4,3,2,1,9] => ([(0,8),(1,8),(2,8),(3,8),(4,7),(5,6),(6,7),(7,8)],9) => ([(0,3),(0,4),(0,5),(0,6),(0,8),(7,2),(8,1),(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) => ([(0,3),(0,7),(4,6),(5,4),(6,8),(7,5),(8,1),(8,2)],9)

[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.] => [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) => ([(0,8),(0,9),(9,1),(9,2),(9,3),(9,4),(9,5),(9,6),(9,7)],10)

[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.] => [6,7,5,4,3,2,1,8,9] => ([(0,8),(1,8),(2,8),(3,8),(4,8),(5,6),(6,8),(8,7)],9) => ([(0,8),(7,6),(8,1),(8,2),(8,3),(8,4),(8,5),(8,7)],9)

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.

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
$$\{ (2, 1) \prec (5, 2),\ (2, 1) \prec (4, 4),\ (2, 1) \prec (3, 5),\ (1, 3) \prec (4, 4),\ (1, 3) \prec (3, 5) \}.$$

Map

dual poset

Description

The dual of a poset.
The dual (or opposite) of a poset $(\mathcal P,\leq)$ is the poset $(\mathcal P^d,\leq_d)$ with $x \leq_d y$ if $y \leq x$.