- FindStat

Identifier

Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00160: Permutations —graph of inversions⟶ Graphs
Mp00247: Graphs —de-duplicate⟶ Graphs
St001577: Graphs ⟶ ℤ

Values

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

>>> Load all 506 entries. <<<

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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$F_{1} = 1$

$F_{2} = 2$

$F_{3} = 5$

$F_{4} = 14$

$F_{5} = 42$

$F_{6} = 132$

Description

The minimal number of edges to add or remove to make a graph a cograph.
A cograph is a graph that can be obtained from the one vertex graph by complementation and disjoint union.

Map

de-duplicate

Description

The de-duplicate of a graph.
Let

$G = (V, E)$ be a graph. This map yields the graph whose vertex set is the set of (distinct) neighbourhoods

$\{N_v | v \in V\}$ of

$G$ , and has an edge

$(N_a, N_b)$ between two vertices if and only if

$(a, b)$ is an edge of

$G$ . This is well-defined, because if

$N_a = N_c$ and

$N_b = N_d$ , then

$(a, b)\in E$ if and only if

$(c, d)\in E$ .
The image of this map is the set of so-called 'mating graphs' or 'point-determining graphs'.
This map preserves the chromatic number.

Map

graph of inversions

Description

The graph of inversions of a permutation.
For a permutation of

$\{1,\dots,n\}$ , this is the graph with vertices

$\{1,\dots,n\}$ , where

$(i,j)$ is an edge if and only if it is an inversion of the permutation.

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.