- FindStat

Identifier

Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00067: Permutations —Foata bijection⟶ Permutations
Mp00208: Permutations —lattice of intervals⟶ Lattices

Images

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

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

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

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

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

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

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

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

[.,[.,[.,[.,.]]]] => [4,3,2,1] => [4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)

[.,[.,[[.,.],.]]] => [3,4,2,1] => [3,4,2,1] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)

[.,[[.,.],[.,.]]] => [2,4,3,1] => [4,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)

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

[.,[[[.,.],.],.]] => [2,3,4,1] => [2,3,4,1] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)

[[.,.],[.,[.,.]]] => [1,4,3,2] => [4,3,1,2] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)

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

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

[[[.,.],.],[.,.]] => [1,2,4,3] => [4,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)

[[.,[.,[.,.]]],.] => [3,2,1,4] => [3,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)

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

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

[[[.,[.,.]],.],.] => [2,1,3,4] => [2,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)

[[[[.,.],.],.],.] => [1,2,3,4] => [1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)

[.,[.,[.,[.,[.,.]]]]] => [5,4,3,2,1] => [5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)

[.,[.,[.,[[.,.],.]]]] => [4,5,3,2,1] => [4,5,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)

[.,[.,[[.,.],[.,.]]]] => [3,5,4,2,1] => [5,3,4,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)

[.,[.,[[.,[.,.]],.]]] => [4,3,5,2,1] => [4,3,5,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)

[.,[.,[[[.,.],.],.]]] => [3,4,5,2,1] => [3,4,5,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)

[.,[[.,.],[.,[.,.]]]] => [2,5,4,3,1] => [5,4,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)

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

[.,[[.,[.,.]],[.,.]]] => [3,2,5,4,1] => [5,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)

[.,[[[.,.],.],[.,.]]] => [2,3,5,4,1] => [5,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,10),(4,9),(5,9),(5,10),(7,6),(8,6),(9,11),(10,11),(11,7),(11,8)],12)

[.,[[.,[.,[.,.]]],.]] => [4,3,2,5,1] => [4,3,2,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(10,8)],11)

[.,[[.,[[.,.],.]],.]] => [3,4,2,5,1] => [3,4,2,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)

[.,[[[.,.],[.,.]],.]] => [2,4,3,5,1] => [4,2,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)

[.,[[[.,[.,.]],.],.]] => [3,2,4,5,1] => [3,2,4,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,6),(3,7),(4,7),(5,6),(5,8),(6,10),(7,8),(8,10),(10,9)],11)

[.,[[[[.,.],.],.],.]] => [2,3,4,5,1] => [2,3,4,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,10),(3,6),(4,10),(4,12),(5,11),(5,12),(7,9),(8,9),(9,6),(10,7),(11,8),(12,7),(12,8)],13)

[[.,.],[.,[.,[.,.]]]] => [1,5,4,3,2] => [5,4,3,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)

[[.,.],[.,[[.,.],.]]] => [1,4,5,3,2] => [4,5,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(8,9)],10)

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

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

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

[[.,[.,.]],[.,[.,.]]] => [2,1,5,4,3] => [5,4,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)

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

[[[.,.],.],[.,[.,.]]] => [1,2,5,4,3] => [5,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)

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

[[.,[.,[.,.]]],[.,.]] => [3,2,1,5,4] => [5,3,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(10,8)],11)

[[.,[[.,.],.]],[.,.]] => [2,3,1,5,4] => [5,2,3,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)

[[[.,.],[.,.]],[.,.]] => [1,3,2,5,4] => [5,3,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)

[[[.,[.,.]],.],[.,.]] => [2,1,3,5,4] => [5,2,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,6),(3,7),(4,7),(5,6),(5,8),(6,10),(7,8),(8,10),(10,9)],11)

[[[[.,.],.],.],[.,.]] => [1,2,3,5,4] => [5,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,10),(3,6),(4,10),(4,12),(5,11),(5,12),(7,9),(8,9),(9,6),(10,7),(11,8),(12,7),(12,8)],13)

[[.,[.,[.,[.,.]]]],.] => [4,3,2,1,5] => [4,3,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,10),(3,6),(4,10),(4,12),(5,11),(5,12),(7,9),(8,9),(9,6),(10,7),(11,8),(12,7),(12,8)],13)

[[.,[.,[[.,.],.]]],.] => [3,4,2,1,5] => [3,4,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,6),(3,7),(4,7),(5,6),(5,8),(6,10),(7,8),(8,10),(10,9)],11)

[[.,[[.,.],[.,.]]],.] => [2,4,3,1,5] => [4,2,3,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,9),(4,8),(5,7),(6,8),(6,9),(8,10),(9,10),(10,7)],11)

[[.,[[.,[.,.]],.]],.] => [3,2,4,1,5] => [3,2,4,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)

[[.,[[[.,.],.],.]],.] => [2,3,4,1,5] => [2,3,4,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(10,8)],11)

[[[.,.],[.,[.,.]]],.] => [1,4,3,2,5] => [4,3,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,6),(3,7),(4,7),(5,6),(5,8),(6,10),(7,8),(8,10),(10,9)],11)

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

[[[.,[.,.]],[.,.]],.] => [2,1,4,3,5] => [4,2,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,9),(5,7),(6,9),(8,7),(9,8)],10)

[[[[.,.],.],[.,.]],.] => [1,2,4,3,5] => [4,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(10,8)],11)

[[[.,[.,[.,.]]],.],.] => [3,2,1,4,5] => [3,2,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)

[[[.,[[.,.],.]],.],.] => [2,3,1,4,5] => [2,3,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)

[[[[.,.],[.,.]],.],.] => [1,3,2,4,5] => [3,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)

[[[[.,[.,.]],.],.],.] => [2,1,3,4,5] => [2,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)

[[[[[.,.],.],.],.],.] => [1,2,3,4,5] => [1,2,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)

[.,[.,[.,[.,[.,[.,.]]]]]] => [6,5,4,3,2,1] => [6,5,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,15),(2,14),(3,19),(3,21),(4,20),(4,21),(5,14),(5,19),(6,15),(6,20),(8,10),(9,11),(10,12),(11,13),(12,7),(13,7),(14,8),(15,9),(16,10),(16,18),(17,11),(17,18),(18,12),(18,13),(19,8),(19,16),(20,9),(20,17),(21,16),(21,17)],22)

[.,[.,[.,[.,[[.,.],.]]]]] => [5,6,4,3,2,1] => [5,6,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,13),(4,12),(4,16),(5,13),(5,17),(6,16),(6,17),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,12),(15,10),(15,11),(16,8),(16,15),(17,9),(17,15)],18)

[.,[.,[.,[[.,.],[.,.]]]]] => [4,6,5,3,2,1] => [6,4,5,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,17),(3,17),(4,12),(5,15),(5,16),(6,13),(6,16),(8,10),(9,11),(10,7),(11,7),(12,9),(13,8),(14,10),(14,11),(15,9),(15,14),(16,8),(16,14),(17,12),(17,15)],18)

[.,[.,[.,[[.,[.,.]],.]]]] => [5,4,6,3,2,1] => [5,4,6,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,12),(5,14),(6,10),(6,14),(8,7),(9,7),(10,9),(11,10),(12,8),(13,11),(14,8),(14,9)],15)

[.,[.,[.,[[[.,.],.],.]]]] => [4,5,6,3,2,1] => [4,5,6,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,13),(4,14),(5,11),(5,15),(6,12),(6,15),(8,11),(9,7),(10,7),(11,9),(12,10),(13,8),(14,8),(15,9),(15,10)],16)

[.,[.,[[.,.],[.,[.,.]]]]] => [3,6,5,4,2,1] => [6,5,3,4,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(2,17),(3,13),(4,12),(5,12),(5,15),(6,13),(6,16),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,10),(14,11),(15,8),(15,14),(16,9),(16,14),(17,15),(17,16)],18)

[.,[.,[[.,.],[[.,.],.]]]] => [3,5,6,4,2,1] => [5,3,6,4,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,7),(6,7),(6,8),(7,9),(8,9),(10,8)],11)

[.,[.,[[.,[.,.]],[.,.]]]] => [4,3,6,5,2,1] => [6,4,3,5,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,14),(3,12),(4,12),(5,10),(6,11),(6,13),(8,7),(9,7),(10,9),(11,8),(12,14),(13,8),(13,9),(14,10),(14,13)],15)

[.,[.,[[[.,.],.],[.,.]]]] => [3,4,6,5,2,1] => [6,3,4,5,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,12),(3,11),(4,10),(5,12),(5,13),(6,11),(6,15),(8,7),(9,7),(10,9),(11,8),(12,14),(13,14),(14,10),(14,15),(15,8),(15,9)],16)

[.,[.,[[.,[.,[.,.]]],.]]] => [5,4,3,6,2,1] => [5,4,3,6,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,10),(5,11),(5,12),(6,9),(6,13),(8,10),(9,7),(10,9),(11,8),(12,8),(13,7)],14)

[.,[.,[[.,[[.,.],.]],.]]] => [4,5,3,6,2,1] => [4,5,3,6,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)

[.,[.,[[[.,.],[.,.]],.]]] => [3,5,4,6,2,1] => [5,3,4,6,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)

[.,[.,[[[.,[.,.]],.],.]]] => [4,3,5,6,2,1] => [4,3,5,6,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,10),(5,12),(6,9),(6,11),(8,10),(9,8),(10,7),(11,8),(12,7),(13,9)],14)

[.,[.,[[[[.,.],.],.],.]]] => [3,4,5,6,2,1] => [3,4,5,6,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,11),(4,14),(5,12),(5,15),(6,13),(6,15),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,7),(15,9),(15,10)],16)

[.,[[.,.],[.,[.,[.,.]]]]] => [2,6,5,4,3,1] => [6,5,4,2,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,17),(3,17),(4,12),(5,15),(5,16),(6,13),(6,16),(8,10),(9,11),(10,7),(11,7),(12,9),(13,8),(14,10),(14,11),(15,9),(15,14),(16,8),(16,14),(17,12),(17,15)],18)

[.,[[.,.],[.,[[.,.],.]]]] => [2,5,6,4,3,1] => [5,6,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,12),(8,9),(9,10),(9,12),(10,11),(12,11)],13)

[.,[[.,.],[[.,.],[.,.]]]] => [2,4,6,5,3,1] => [6,4,2,5,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,8),(6,7),(7,9),(8,9),(10,7),(10,8)],11)

[.,[[.,.],[[.,[.,.]],.]]] => [2,5,4,6,3,1] => [5,4,2,6,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)

[.,[[.,.],[[[.,.],.],.]]] => [2,4,5,6,3,1] => [4,2,5,6,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)

[.,[[.,[.,.]],[.,[.,.]]]] => [3,2,6,5,4,1] => [6,5,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,14),(3,12),(4,12),(5,10),(6,11),(6,13),(8,7),(9,7),(10,9),(11,8),(12,14),(13,8),(13,9),(14,10),(14,13)],15)

[.,[[.,[.,.]],[[.,.],.]]] => [3,2,5,6,4,1] => [5,3,2,6,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)

[.,[[[.,.],.],[.,[.,.]]]] => [2,3,6,5,4,1] => [6,5,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,12),(3,11),(4,10),(5,12),(5,13),(6,11),(6,15),(8,7),(9,7),(10,9),(11,8),(12,14),(13,14),(14,10),(14,15),(15,8),(15,9)],16)

[.,[[[.,.],.],[[.,.],.]]] => [2,3,5,6,4,1] => [5,2,3,6,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)

[.,[[.,[.,[.,.]]],[.,.]]] => [4,3,2,6,5,1] => [6,4,3,2,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,12),(4,11),(5,13),(6,11),(6,12),(8,13),(9,7),(10,7),(11,8),(12,8),(13,9),(13,10)],14)

[.,[[.,[[.,.],.]],[.,.]]] => [3,4,2,6,5,1] => [6,3,4,2,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,8),(5,11),(6,10),(7,10),(8,12),(9,12),(10,11),(11,8),(11,9)],13)

[.,[[[.,.],[.,.]],[.,.]]] => [2,4,3,6,5,1] => [6,4,2,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,8),(5,11),(6,10),(7,10),(8,12),(9,12),(10,11),(11,8),(11,9)],13)

[.,[[[.,[.,.]],.],[.,.]]] => [3,2,4,6,5,1] => [6,3,2,4,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,11),(4,12),(5,12),(6,8),(6,11),(8,13),(9,7),(10,7),(11,13),(12,8),(13,9),(13,10)],14)

[.,[[[[.,.],.],.],[.,.]]] => [2,3,4,6,5,1] => [6,2,3,4,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,12),(5,12),(5,15),(6,13),(6,15),(8,14),(9,14),(10,7),(11,7),(12,8),(13,9),(14,10),(14,11),(15,8),(15,9)],16)

[.,[[.,[.,[.,[.,.]]]],.]] => [5,4,3,2,6,1] => [5,4,3,2,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,13),(3,12),(4,7),(5,12),(5,14),(6,13),(6,14),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,9),(14,10)],15)

[.,[[.,[.,[[.,.],.]]],.]] => [4,5,3,2,6,1] => [4,5,3,2,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13)

[.,[[.,[[.,.],[.,.]]],.]] => [3,5,4,2,6,1] => [5,3,4,2,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,10),(4,9),(5,8),(6,11),(7,9),(7,10),(9,12),(10,12),(11,8),(12,11)],13)

[.,[[.,[[.,[.,.]],.]],.]] => [4,3,5,2,6,1] => [4,3,5,2,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)

[.,[[.,[[[.,.],.],.]],.]] => [3,4,5,2,6,1] => [3,4,5,2,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(3,8),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)

[.,[[[.,.],[.,[.,.]]],.]] => [2,5,4,3,6,1] => [5,4,2,3,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13)

[.,[[[.,.],[[.,.],.]],.]] => [2,4,5,3,6,1] => [4,2,5,3,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(9,7)],10)

[.,[[[.,[.,.]],[.,.]],.]] => [3,2,5,4,6,1] => [5,3,2,4,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)

[.,[[[[.,.],.],[.,.]],.]] => [2,3,5,4,6,1] => [5,2,3,4,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(3,8),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)

>>> Load all 729 entries. <<<

[.,[[[.,[.,[.,.]]],.],.]] => [4,3,2,5,6,1] => [4,3,2,5,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,7),(5,10),(5,13),(6,11),(6,12),(8,10),(9,7),(10,9),(11,8),(12,8),(13,9)],14)

[.,[[[.,[[.,.],.]],.],.]] => [3,4,2,5,6,1] => [3,4,2,5,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(11,9),(12,10)],13)

[.,[[[[.,.],[.,.]],.],.]] => [2,4,3,5,6,1] => [4,2,3,5,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(11,9),(12,10)],13)

[.,[[[[.,[.,.]],.],.],.]] => [3,2,4,5,6,1] => [3,2,4,5,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,7),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,11),(14,8),(14,9)],15)

[.,[[[[[.,.],.],.],.],.]] => [2,3,4,5,6,1] => [2,3,4,5,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,7),(4,13),(4,16),(5,14),(5,17),(6,16),(6,17),(8,12),(9,12),(10,8),(11,9),(12,7),(13,10),(14,11),(15,8),(15,9),(16,10),(16,15),(17,11),(17,15)],18)

[[.,.],[.,[.,[.,[.,.]]]]] => [1,6,5,4,3,2] => [6,5,4,3,1,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,13),(4,12),(4,16),(5,13),(5,17),(6,16),(6,17),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,12),(15,10),(15,11),(16,8),(16,15),(17,9),(17,15)],18)

[[.,.],[.,[.,[[.,.],.]]]] => [1,5,6,4,3,2] => [5,6,4,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,11),(6,9),(6,10),(7,10),(8,11),(9,12),(10,12),(11,9)],13)

[[.,.],[.,[[.,.],[.,.]]]] => [1,4,6,5,3,2] => [6,4,5,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,10),(8,9),(8,11),(9,12),(10,11),(11,12)],13)

[[.,.],[.,[[.,[.,.]],.]]] => [1,5,4,6,3,2] => [5,4,6,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,9),(8,10),(9,11),(10,11)],12)

[[.,.],[.,[[[.,.],.],.]]] => [1,4,5,6,3,2] => [4,5,1,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)

[[.,.],[[.,.],[.,[.,.]]]] => [1,3,6,5,4,2] => [6,5,3,1,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,7),(6,7),(6,8),(7,9),(8,9),(10,8)],11)

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

[[.,.],[[.,[.,.]],[.,.]]] => [1,4,3,6,5,2] => [6,4,3,1,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)

[[.,.],[[[.,.],.],[.,.]]] => [1,3,4,6,5,2] => [6,3,1,4,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)

[[.,.],[[.,[.,[.,.]]],.]] => [1,5,4,3,6,2] => [5,4,3,1,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)

[[.,.],[[.,[[.,.],.]],.]] => [1,4,5,3,6,2] => [4,5,1,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)

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

[[.,.],[[[.,[.,.]],.],.]] => [1,4,3,5,6,2] => [4,3,1,5,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)

[[.,.],[[[[.,.],.],.],.]] => [1,3,4,5,6,2] => [3,1,4,5,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)

[[.,[.,.]],[.,[.,[.,.]]]] => [2,1,6,5,4,3] => [6,5,4,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,12),(5,14),(6,10),(6,14),(8,7),(9,7),(10,9),(11,10),(12,8),(13,11),(14,8),(14,9)],15)

[[.,[.,.]],[.,[[.,.],.]]] => [2,1,5,6,4,3] => [5,6,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,10),(9,10),(10,11)],12)

[[.,[.,.]],[[.,.],[.,.]]] => [2,1,4,6,5,3] => [6,4,2,1,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)

[[.,[.,.]],[[.,[.,.]],.]] => [2,1,5,4,6,3] => [5,4,2,1,6,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)

[[.,[.,.]],[[[.,.],.],.]] => [2,1,4,5,6,3] => [4,2,1,5,6,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)

[[[.,.],.],[.,[.,[.,.]]]] => [1,2,6,5,4,3] => [6,5,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,13),(4,14),(5,11),(5,15),(6,12),(6,15),(8,11),(9,7),(10,7),(11,9),(12,10),(13,8),(14,8),(15,9),(15,10)],16)

[[[.,.],.],[.,[[.,.],.]]] => [1,2,5,6,4,3] => [5,6,1,2,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,8),(3,8),(4,9),(5,9),(6,7),(6,10),(7,12),(8,11),(9,10),(10,12),(12,11)],13)

[[[.,.],.],[[.,.],[.,.]]] => [1,2,4,6,5,3] => [6,4,1,2,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)

[[[.,.],.],[[.,[.,.]],.]] => [1,2,5,4,6,3] => [5,4,1,2,6,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)

[[[.,.],.],[[[.,.],.],.]] => [1,2,4,5,6,3] => [4,1,2,5,6,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)

[[.,[.,[.,.]]],[.,[.,.]]] => [3,2,1,6,5,4] => [6,5,3,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,10),(5,11),(5,12),(6,9),(6,13),(8,10),(9,7),(10,9),(11,8),(12,8),(13,7)],14)

[[.,[.,[.,.]]],[[.,.],.]] => [3,2,1,5,6,4] => [5,3,2,1,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)

[[.,[[.,.],.]],[.,[.,.]]] => [2,3,1,6,5,4] => [6,5,2,3,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)

[[.,[[.,.],.]],[[.,.],.]] => [2,3,1,5,6,4] => [5,2,3,1,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(8,9)],10)

[[[.,.],[.,.]],[.,[.,.]]] => [1,3,2,6,5,4] => [6,5,3,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)

[[[.,.],[.,.]],[[.,.],.]] => [1,3,2,5,6,4] => [5,3,1,2,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(8,9)],10)

[[[.,[.,.]],.],[.,[.,.]]] => [2,1,3,6,5,4] => [6,5,2,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,10),(5,12),(6,9),(6,11),(8,10),(9,8),(10,7),(11,8),(12,7),(13,9)],14)

[[[.,[.,.]],.],[[.,.],.]] => [2,1,3,5,6,4] => [5,2,1,3,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(8,9)],10)

[[[[.,.],.],.],[.,[.,.]]] => [1,2,3,6,5,4] => [6,5,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,11),(4,14),(5,12),(5,15),(6,13),(6,15),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,7),(15,9),(15,10)],16)

[[[[.,.],.],.],[[.,.],.]] => [1,2,3,5,6,4] => [5,1,2,3,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)

[[.,[.,[.,[.,.]]]],[.,.]] => [4,3,2,1,6,5] => [6,4,3,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,13),(3,12),(4,7),(5,12),(5,14),(6,13),(6,14),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,9),(14,10)],15)

[[.,[.,[[.,.],.]]],[.,.]] => [3,4,2,1,6,5] => [6,3,4,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13)

[[.,[[.,.],[.,.]]],[.,.]] => [2,4,3,1,6,5] => [6,4,2,3,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,10),(4,9),(5,8),(6,11),(7,9),(7,10),(9,12),(10,12),(11,8),(12,11)],13)

[[.,[[.,[.,.]],.]],[.,.]] => [3,2,4,1,6,5] => [6,3,2,4,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)

[[.,[[[.,.],.],.]],[.,.]] => [2,3,4,1,6,5] => [6,2,3,4,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(3,8),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)

[[[.,.],[.,[.,.]]],[.,.]] => [1,4,3,2,6,5] => [6,4,3,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13)

[[[.,.],[[.,.],.]],[.,.]] => [1,3,4,2,6,5] => [6,3,1,4,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(9,7)],10)

[[[.,[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5] => [6,4,2,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)

[[[[.,.],.],[.,.]],[.,.]] => [1,2,4,3,6,5] => [6,4,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(3,8),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)

[[[.,[.,[.,.]]],.],[.,.]] => [3,2,1,4,6,5] => [6,3,2,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,7),(5,10),(5,13),(6,11),(6,12),(8,10),(9,7),(10,9),(11,8),(12,8),(13,9)],14)

[[[.,[[.,.],.]],.],[.,.]] => [2,3,1,4,6,5] => [6,2,3,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(11,9),(12,10)],13)

[[[[.,.],[.,.]],.],[.,.]] => [1,3,2,4,6,5] => [6,3,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(11,9),(12,10)],13)

[[[[.,[.,.]],.],.],[.,.]] => [2,1,3,4,6,5] => [6,2,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,7),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,11),(14,8),(14,9)],15)

[[[[[.,.],.],.],.],[.,.]] => [1,2,3,4,6,5] => [6,1,2,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,7),(4,13),(4,16),(5,14),(5,17),(6,16),(6,17),(8,12),(9,12),(10,8),(11,9),(12,7),(13,10),(14,11),(15,8),(15,9),(16,10),(16,15),(17,11),(17,15)],18)

[[.,[.,[.,[.,[.,.]]]]],.] => [5,4,3,2,1,6] => [5,4,3,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,7),(4,13),(4,16),(5,14),(5,17),(6,16),(6,17),(8,12),(9,12),(10,8),(11,9),(12,7),(13,10),(14,11),(15,8),(15,9),(16,10),(16,15),(17,11),(17,15)],18)

[[.,[.,[.,[[.,.],.]]]],.] => [4,5,3,2,1,6] => [4,5,3,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,7),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,11),(14,8),(14,9)],15)

[[.,[.,[[.,.],[.,.]]]],.] => [3,5,4,2,1,6] => [5,3,4,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,14),(3,14),(4,11),(5,7),(6,12),(6,13),(8,10),(9,10),(10,7),(11,9),(12,8),(13,8),(13,9),(14,11),(14,13)],15)

[[.,[.,[[.,[.,.]],.]]],.] => [4,3,5,2,1,6] => [4,3,5,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(11,9),(12,10)],13)

[[.,[.,[[[.,.],.],.]]],.] => [3,4,5,2,1,6] => [3,4,5,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,7),(5,10),(5,13),(6,11),(6,12),(8,10),(9,7),(10,9),(11,8),(12,8),(13,9)],14)

[[.,[[.,.],[.,[.,.]]]],.] => [2,5,4,3,1,6] => [5,4,2,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,14),(3,14),(4,11),(5,7),(6,12),(6,13),(8,10),(9,10),(10,7),(11,9),(12,8),(13,8),(13,9),(14,11),(14,13)],15)

[[.,[[.,.],[[.,.],.]]],.] => [2,4,5,3,1,6] => [4,2,5,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(9,7)],10)

[[.,[[.,[.,.]],[.,.]]],.] => [3,2,5,4,1,6] => [5,3,2,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,8),(5,10),(6,11),(7,11),(8,12),(9,12),(11,8),(11,9),(12,10)],13)

[[.,[[[.,.],.],[.,.]]],.] => [2,3,5,4,1,6] => [5,2,3,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,12),(4,11),(5,7),(6,11),(6,12),(8,7),(9,8),(10,8),(11,13),(12,13),(13,9),(13,10)],14)

[[.,[[.,[.,[.,.]]],.]],.] => [4,3,2,5,1,6] => [4,3,2,5,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(3,8),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)

[[.,[[.,[[.,.],.]],.]],.] => [3,4,2,5,1,6] => [3,4,2,5,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)

[[.,[[[.,.],[.,.]],.]],.] => [2,4,3,5,1,6] => [4,2,3,5,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)

[[.,[[[.,[.,.]],.],.]],.] => [3,2,4,5,1,6] => [3,2,4,5,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13)

[[.,[[[[.,.],.],.],.]],.] => [2,3,4,5,1,6] => [2,3,4,5,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,13),(3,12),(4,7),(5,12),(5,14),(6,13),(6,14),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,9),(14,10)],15)

[[[.,.],[.,[.,[.,.]]]],.] => [1,5,4,3,2,6] => [5,4,3,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,7),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,11),(14,8),(14,9)],15)

[[[.,.],[.,[[.,.],.]]],.] => [1,4,5,3,2,6] => [4,5,1,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,11),(11,10)],12)

[[[.,.],[[.,.],[.,.]]],.] => [1,3,5,4,2,6] => [5,3,1,4,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,9),(3,9),(4,9),(5,9),(6,7),(7,8),(9,7)],10)

[[[.,.],[[.,[.,.]],.]],.] => [1,4,3,5,2,6] => [4,3,1,5,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)

[[[.,.],[[[.,.],.],.]],.] => [1,3,4,5,2,6] => [3,1,4,5,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)

[[[.,[.,.]],[.,[.,.]]],.] => [2,1,5,4,3,6] => [5,4,2,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(11,9),(12,10)],13)

[[[.,[.,.]],[[.,.],.]],.] => [2,1,4,5,3,6] => [4,2,1,5,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)

[[[[.,.],.],[.,[.,.]]],.] => [1,2,5,4,3,6] => [5,4,1,2,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,7),(5,10),(5,13),(6,11),(6,12),(8,10),(9,7),(10,9),(11,8),(12,8),(13,9)],14)

[[[[.,.],.],[[.,.],.]],.] => [1,2,4,5,3,6] => [4,1,2,5,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)

[[[.,[.,[.,.]]],[.,.]],.] => [3,2,1,5,4,6] => [5,3,2,1,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,7),(3,7),(3,8),(4,10),(5,11),(6,9),(7,12),(8,12),(10,9),(11,10),(12,11)],13)

[[[.,[[.,.],.]],[.,.]],.] => [2,3,1,5,4,6] => [5,2,3,1,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)

[[[[.,.],[.,.]],[.,.]],.] => [1,3,2,5,4,6] => [5,3,1,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,9),(4,10),(5,11),(6,8),(7,11),(9,10),(10,8),(11,9)],12)

[[[[.,[.,.]],.],[.,.]],.] => [2,1,3,5,4,6] => [5,2,1,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,9),(5,11),(6,7),(6,10),(7,12),(8,10),(10,12),(11,9),(12,11)],13)

[[[[[.,.],.],.],[.,.]],.] => [1,2,3,5,4,6] => [5,1,2,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,13),(3,12),(4,7),(5,12),(5,14),(6,13),(6,14),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,9),(14,10)],15)

[[[.,[.,[.,[.,.]]]],.],.] => [4,3,2,1,5,6] => [4,3,2,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,11),(4,14),(5,12),(5,15),(6,13),(6,15),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,7),(15,9),(15,10)],16)

[[[.,[.,[[.,.],.]]],.],.] => [3,4,2,1,5,6] => [3,4,2,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,10),(5,12),(6,9),(6,11),(8,10),(9,8),(10,7),(11,8),(12,7),(13,9)],14)

[[[.,[[.,.],[.,.]]],.],.] => [2,4,3,1,5,6] => [4,2,3,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,12),(4,13),(5,13),(6,9),(6,12),(8,9),(9,7),(10,8),(11,8),(12,7),(13,10),(13,11)],14)

[[[.,[[.,[.,.]],.]],.],.] => [3,2,4,1,5,6] => [3,2,4,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)

[[[.,[[[.,.],.],.]],.],.] => [2,3,4,1,5,6] => [2,3,4,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,10),(5,11),(5,12),(6,9),(6,13),(8,10),(9,7),(10,9),(11,8),(12,8),(13,7)],14)

[[[[.,.],[.,[.,.]]],.],.] => [1,4,3,2,5,6] => [4,3,1,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,10),(5,12),(6,9),(6,11),(8,10),(9,8),(10,7),(11,8),(12,7),(13,9)],14)

[[[[.,.],[[.,.],.]],.],.] => [1,3,4,2,5,6] => [3,1,4,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,7),(6,7),(6,8),(7,9),(8,9),(10,8)],11)

[[[[.,[.,.]],[.,.]],.],.] => [2,1,4,3,5,6] => [4,2,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,10),(5,11),(6,7),(6,9),(7,12),(8,11),(9,12),(10,9),(11,10)],13)

[[[[[.,.],.],[.,.]],.],.] => [1,2,4,3,5,6] => [4,1,2,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,10),(5,11),(5,12),(6,9),(6,13),(8,10),(9,7),(10,9),(11,8),(12,8),(13,7)],14)

[[[[.,[.,[.,.]]],.],.],.] => [3,2,1,4,5,6] => [3,2,1,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,12),(4,13),(4,14),(5,11),(5,15),(6,12),(6,15),(8,11),(9,7),(10,7),(11,9),(12,10),(13,8),(14,8),(15,9),(15,10)],16)

[[[[.,[[.,.],.]],.],.],.] => [2,3,1,4,5,6] => [2,3,1,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,12),(5,14),(6,10),(6,14),(8,7),(9,7),(10,9),(11,10),(12,8),(13,11),(14,8),(14,9)],15)

[[[[[.,.],[.,.]],.],.],.] => [1,3,2,4,5,6] => [3,1,2,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,12),(5,14),(6,10),(6,14),(8,7),(9,7),(10,9),(11,10),(12,8),(13,11),(14,8),(14,9)],15)

[[[[[.,[.,.]],.],.],.],.] => [2,1,3,4,5,6] => [2,1,3,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,13),(4,12),(4,16),(5,13),(5,17),(6,16),(6,17),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,12),(15,10),(15,11),(16,8),(16,15),(17,9),(17,15)],18)

[[[[[[.,.],.],.],.],.],.] => [1,2,3,4,5,6] => [1,2,3,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,15),(2,14),(3,19),(3,21),(4,20),(4,21),(5,14),(5,19),(6,15),(6,20),(8,10),(9,11),(10,12),(11,13),(12,7),(13,7),(14,8),(15,9),(16,10),(16,18),(17,11),(17,18),(18,12),(18,13),(19,8),(19,16),(20,9),(20,17),(21,16),(21,17)],22)

[.,[.,[.,[.,[[.,[.,.]],.]]]]] => [6,5,7,4,3,2,1] => [6,5,7,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,15),(5,18),(6,13),(6,19),(7,18),(7,19),(9,11),(10,12),(11,8),(12,8),(13,10),(14,13),(15,9),(16,14),(17,11),(17,12),(18,9),(18,17),(19,10),(19,17)],20)

[.,[.,[.,[.,[[[.,.],.],.]]]]] => [5,6,7,4,3,2,1] => [5,6,7,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,16),(3,15),(4,16),(4,17),(5,14),(5,19),(6,15),(6,20),(7,19),(7,20),(9,14),(10,12),(11,13),(12,8),(13,8),(14,10),(15,11),(16,9),(17,9),(18,12),(18,13),(19,10),(19,18),(20,11),(20,18)],21)

[.,[.,[.,[[.,.],[[.,.],.]]]]] => [4,6,7,5,3,2,1] => [6,4,7,5,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,8),(6,8),(6,9),(7,9),(7,10),(8,11),(9,11),(9,12),(10,12),(11,13),(12,13),(14,10)],15)

[.,[.,[.,[[.,[.,.]],[.,.]]]]] => [5,4,7,6,3,2,1] => [7,5,4,6,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,19),(3,15),(4,15),(5,13),(6,17),(6,18),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,19),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,13),(19,17)],20)

[.,[.,[.,[[[.,.],.],[.,.]]]]] => [4,5,7,6,3,2,1] => [7,4,5,6,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,16),(4,15),(5,14),(5,20),(6,19),(6,20),(7,15),(7,16),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,18),(16,18),(17,11),(17,12),(18,13),(18,19),(19,10),(19,17),(20,9),(20,17)],21)

[.,[.,[.,[[.,[.,[.,.]]],.]]]] => [6,5,4,7,3,2,1] => [6,5,4,7,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,15),(4,14),(5,15),(5,16),(6,12),(6,17),(7,14),(7,17),(9,13),(10,8),(11,8),(12,10),(13,12),(14,11),(15,9),(16,9),(17,10),(17,11)],18)

[.,[.,[.,[[.,[[.,.],.]],.]]]] => [5,6,4,7,3,2,1] => [5,6,4,7,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,15),(4,15),(5,12),(6,14),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,13),(13,11),(14,9),(15,12),(16,9),(16,10)],17)

[.,[.,[.,[[[.,.],[.,.]],.]]]] => [4,6,5,7,3,2,1] => [6,4,5,7,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,15),(4,15),(5,12),(6,14),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,13),(13,11),(14,9),(15,12),(16,9),(16,10)],17)

[.,[.,[.,[[[.,[.,.]],.],.]]]] => [5,4,6,7,3,2,1] => [5,4,6,7,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,15),(5,13),(5,15),(6,12),(6,17),(7,14),(7,17),(9,12),(10,8),(11,8),(12,10),(13,9),(14,11),(15,9),(16,13),(17,10),(17,11)],18)

[.,[.,[.,[[[[.,.],.],.],.]]]] => [4,5,6,7,3,2,1] => [4,5,6,7,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,17),(4,14),(4,19),(5,15),(5,18),(6,16),(6,18),(7,17),(7,19),(9,14),(10,9),(11,9),(12,8),(13,8),(14,12),(15,10),(16,11),(17,13),(18,10),(18,11),(19,12),(19,13)],20)

[.,[.,[[.,.],[.,[[.,.],.]]]]] => [3,6,7,5,4,2,1] => [6,7,3,5,4,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,13),(4,14),(5,14),(6,12),(7,12),(7,15),(9,10),(10,8),(11,8),(12,11),(13,9),(14,16),(15,10),(15,11),(16,9),(16,15)],17)

[.,[.,[[.,.],[[.,.],[.,.]]]]] => [3,5,7,6,4,2,1] => [7,5,3,6,4,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,9),(6,8),(7,8),(7,10),(8,12),(9,11),(10,11),(10,12),(11,13),(12,13),(14,9),(14,10)],15)

[.,[.,[[.,.],[[.,[.,.]],.]]]] => [3,6,5,7,4,2,1] => [6,5,3,7,4,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)

[.,[.,[[.,.],[[[.,.],.],.]]]] => [3,5,6,7,4,2,1] => [5,3,6,7,4,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)

[.,[.,[[.,[.,.]],[.,[.,.]]]]] => [4,3,7,6,5,2,1] => [7,6,4,3,5,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,15),(3,15),(4,14),(5,13),(6,13),(6,17),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,19),(16,11),(16,12),(17,9),(17,16),(18,10),(18,16),(19,17),(19,18)],20)

[.,[.,[[.,[.,.]],[[.,.],.]]]] => [4,3,6,7,5,2,1] => [6,4,3,7,5,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)

[.,[.,[[[.,.],.],[.,[.,.]]]]] => [3,4,7,6,5,2,1] => [7,6,3,4,5,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,13),(5,15),(5,16),(6,13),(6,19),(7,14),(7,20),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,17),(16,17),(17,19),(17,20),(18,11),(18,12),(19,9),(19,18),(20,10),(20,18)],21)

[.,[.,[[[.,.],.],[[.,.],.]]]] => [3,4,6,7,5,2,1] => [6,3,4,7,5,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)

[.,[.,[[.,[.,[.,.]]],[.,.]]]] => [5,4,3,7,6,2,1] => [7,5,4,3,6,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,17),(6,13),(6,14),(7,15),(7,16),(9,17),(10,8),(11,8),(12,11),(13,9),(14,9),(15,10),(16,10),(16,11),(17,12),(17,16)],18)

[.,[.,[[.,[[.,.],.]],[.,.]]]] => [4,5,3,7,6,2,1] => [7,4,5,3,6,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,13),(4,16),(5,14),(6,14),(7,13),(7,15),(9,8),(10,8),(11,16),(12,9),(13,10),(14,11),(15,9),(15,10),(16,12),(16,15)],17)

[.,[.,[[[.,.],[.,.]],[.,.]]]] => [3,5,4,7,6,2,1] => [7,5,3,4,6,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,13),(4,16),(5,14),(6,14),(7,13),(7,15),(9,8),(10,8),(11,16),(12,9),(13,10),(14,11),(15,9),(15,10),(16,12),(16,15)],17)

[.,[.,[[[.,[.,.]],.],[.,.]]]] => [4,3,5,7,6,2,1] => [7,4,3,5,6,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,13),(7,17),(9,8),(10,8),(11,16),(12,9),(13,10),(14,16),(15,11),(16,12),(16,17),(17,9),(17,10)],18)

[.,[.,[[[[.,.],.],.],[.,.]]]] => [3,4,5,7,6,2,1] => [7,3,4,5,6,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,15),(3,14),(4,16),(5,14),(5,19),(6,15),(6,19),(7,16),(7,18),(9,17),(10,17),(11,8),(12,8),(13,11),(14,9),(15,10),(16,12),(17,13),(17,18),(18,11),(18,12),(19,9),(19,10)],20)

[.,[.,[[.,[.,[.,[.,.]]]],.]]] => [6,5,4,3,7,2,1] => [6,5,4,3,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,15),(4,14),(5,12),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,8),(17,10),(17,11)],18)

[.,[.,[[.,[.,[[.,.],.]]],.]]] => [5,6,4,3,7,2,1] => [5,6,4,3,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,12),(10,9),(11,8),(12,11),(13,9),(14,8),(15,10)],16)

[.,[.,[[.,[[.,.],[.,.]]],.]]] => [4,6,5,3,7,2,1] => [6,4,5,3,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,15),(6,15),(7,10),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,8),(15,12),(15,13)],16)

[.,[.,[[.,[[.,[.,.]],.]],.]]] => [5,4,6,3,7,2,1] => [5,4,6,3,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15)

[.,[.,[[.,[[[.,.],.],.]],.]]] => [4,5,6,3,7,2,1] => [4,5,6,3,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,12),(4,15),(5,11),(6,13),(6,14),(7,10),(7,15),(9,12),(10,8),(11,10),(12,11),(13,9),(14,9),(15,8)],16)

[.,[.,[[[.,.],[.,[.,.]]],.]]] => [3,6,5,4,7,2,1] => [6,5,3,4,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,12),(10,9),(11,8),(12,11),(13,9),(14,8),(15,10)],16)

[.,[.,[[[.,.],[[.,.],.]],.]]] => [3,5,6,4,7,2,1] => [5,3,6,4,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,9),(7,8),(7,10),(8,11),(9,10),(10,11),(12,9)],13)

[.,[.,[[[.,[.,.]],[.,.]],.]]] => [4,3,6,5,7,2,1] => [6,4,3,5,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15)

[.,[.,[[[[.,.],.],[.,.]],.]]] => [3,4,6,5,7,2,1] => [6,3,4,5,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,12),(4,15),(5,11),(6,13),(6,14),(7,10),(7,15),(9,12),(10,8),(11,10),(12,11),(13,9),(14,9),(15,8)],16)

[.,[.,[[[.,[.,[.,.]]],.],.]]] => [5,4,3,6,7,2,1] => [5,4,3,6,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,13),(5,12),(5,16),(6,11),(6,13),(7,14),(7,15),(9,12),(10,11),(11,9),(12,8),(13,9),(14,10),(15,10),(16,8)],17)

[.,[.,[[[.,[[.,.],.]],.],.]]] => [4,5,3,6,7,2,1] => [4,5,3,6,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,11),(10,9),(11,8),(12,10),(13,9),(14,8),(15,12)],16)

[.,[.,[[[[.,.],[.,.]],.],.]]] => [3,5,4,6,7,2,1] => [5,3,4,6,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,11),(10,9),(11,8),(12,10),(13,9),(14,8),(15,12)],16)

[.,[.,[[[[.,[.,.]],.],.],.]]] => [4,3,5,6,7,2,1] => [4,3,5,6,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,13),(5,15),(6,12),(6,17),(7,14),(7,17),(9,13),(10,9),(11,9),(12,10),(13,8),(14,11),(15,8),(16,12),(17,10),(17,11)],18)

[.,[.,[[[[[.,.],.],.],.],.]]] => [3,4,5,6,7,2,1] => [3,4,5,6,7,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,16),(3,15),(4,14),(4,17),(5,15),(5,19),(6,16),(6,20),(7,19),(7,20),(9,14),(10,9),(11,9),(12,10),(13,11),(14,8),(15,12),(16,13),(17,8),(18,10),(18,11),(19,12),(19,18),(20,13),(20,18)],21)

[.,[[.,.],[.,[.,[[.,.],.]]]]] => [2,6,7,5,4,3,1] => [6,7,5,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,13),(4,14),(5,14),(6,12),(7,11),(7,15),(9,8),(10,8),(11,9),(12,10),(13,11),(14,16),(15,9),(15,10),(16,12),(16,15)],17)

[.,[[.,.],[.,[[.,.],[.,.]]]]] => [2,5,7,6,4,3,1] => [7,5,6,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,13),(5,13),(6,11),(7,12),(9,8),(10,8),(11,9),(12,10),(13,15),(14,9),(14,10),(15,12),(15,14),(16,11),(16,14)],17)

[.,[[.,.],[.,[[.,[.,.]],.]]]] => [2,6,5,7,4,3,1] => [6,5,7,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,14),(11,13),(12,10),(12,13),(13,14)],15)

[.,[[.,.],[.,[[[.,.],.],.]]]] => [2,5,6,7,4,3,1] => [5,6,2,7,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[.,[[.,.],[[.,.],[.,[.,.]]]]] => [2,4,7,6,5,3,1] => [7,6,4,2,5,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,9),(6,8),(7,8),(7,10),(8,12),(9,11),(10,11),(10,12),(11,13),(12,13),(14,9),(14,10)],15)

[.,[[.,.],[[.,.],[[.,.],.]]]] => [2,4,6,7,5,3,1] => [6,4,2,7,5,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)

[.,[[.,.],[[.,[.,.]],[.,.]]]] => [2,5,4,7,6,3,1] => [7,5,4,2,6,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13)

[.,[[.,.],[[[.,.],.],[.,.]]]] => [2,4,5,7,6,3,1] => [7,4,2,5,6,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13)

[.,[[.,.],[[.,[.,[.,.]]],.]]] => [2,6,5,4,7,3,1] => [6,5,4,2,7,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)

[.,[[.,.],[[.,[[.,.],.]],.]]] => [2,5,6,4,7,3,1] => [5,6,2,4,7,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)

[.,[[.,.],[[[.,.],[.,.]],.]]] => [2,4,6,5,7,3,1] => [6,4,2,5,7,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)

[.,[[.,.],[[[.,[.,.]],.],.]]] => [2,5,4,6,7,3,1] => [5,4,2,6,7,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[.,[[.,.],[[[[.,.],.],.],.]]] => [2,4,5,6,7,3,1] => [4,2,5,6,7,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)

[.,[[.,[.,.]],[.,[.,[.,.]]]]] => [3,2,7,6,5,4,1] => [7,6,5,3,2,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,19),(3,15),(4,15),(5,13),(6,17),(6,18),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,19),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,13),(19,17)],20)

[.,[[.,[.,.]],[.,[[.,.],.]]]] => [3,2,6,7,5,4,1] => [6,7,3,2,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,13),(10,12),(11,14),(12,14),(13,11),(13,12)],15)

[.,[[.,[.,.]],[[.,.],[.,.]]]] => [3,2,5,7,6,4,1] => [7,5,3,2,6,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13)

[.,[[.,[.,.]],[[.,[.,.]],.]]] => [3,2,6,5,7,4,1] => [6,5,3,2,7,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[.,[[.,[.,.]],[[[.,.],.],.]]] => [3,2,5,6,7,4,1] => [5,3,2,6,7,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[.,[[[.,.],.],[.,[.,[.,.]]]]] => [2,3,7,6,5,4,1] => [7,6,5,2,3,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,16),(4,15),(5,14),(5,20),(6,19),(6,20),(7,15),(7,16),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,18),(16,18),(17,11),(17,12),(18,13),(18,19),(19,10),(19,17),(20,9),(20,17)],21)

[.,[[[.,.],.],[.,[[.,.],.]]]] => [2,3,6,7,5,4,1] => [6,7,2,3,5,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,13),(3,13),(4,14),(5,14),(6,11),(7,10),(7,12),(9,8),(10,15),(11,8),(12,15),(13,9),(14,10),(15,9),(15,11)],16)

[.,[[[.,.],.],[[.,.],[.,.]]]] => [2,3,5,7,6,4,1] => [7,5,2,3,6,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13)

[.,[[[.,.],.],[[.,[.,.]],.]]] => [2,3,6,5,7,4,1] => [6,5,2,3,7,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[.,[[[.,.],.],[[[.,.],.],.]]] => [2,3,5,6,7,4,1] => [5,2,3,6,7,4,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[.,[[.,[.,[.,.]]],[.,[.,.]]]] => [4,3,2,7,6,5,1] => [7,6,4,3,2,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,17),(6,13),(6,14),(7,15),(7,16),(9,17),(10,8),(11,8),(12,11),(13,9),(14,9),(15,10),(16,10),(16,11),(17,12),(17,16)],18)

[.,[[.,[.,[.,.]]],[[.,.],.]]] => [4,3,2,6,7,5,1] => [6,4,3,2,7,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)

[.,[[.,[[.,.],.]],[.,[.,.]]]] => [3,4,2,7,6,5,1] => [7,6,3,4,2,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,13),(4,16),(5,14),(6,14),(7,13),(7,15),(9,8),(10,8),(11,16),(12,9),(13,10),(14,11),(15,9),(15,10),(16,12),(16,15)],17)

[.,[[.,[[.,.],.]],[[.,.],.]]] => [3,4,2,6,7,5,1] => [6,3,4,2,7,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12)

[.,[[[.,.],[.,.]],[.,[.,.]]]] => [2,4,3,7,6,5,1] => [7,6,4,2,3,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,13),(4,16),(5,14),(6,14),(7,13),(7,15),(9,8),(10,8),(11,16),(12,9),(13,10),(14,11),(15,9),(15,10),(16,12),(16,15)],17)

[.,[[[.,.],[.,.]],[[.,.],.]]] => [2,4,3,6,7,5,1] => [6,4,2,3,7,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12)

[.,[[[.,[.,.]],.],[.,[.,.]]]] => [3,2,4,7,6,5,1] => [7,6,3,2,4,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,13),(7,17),(9,8),(10,8),(11,16),(12,9),(13,10),(14,16),(15,11),(16,12),(16,17),(17,9),(17,10)],18)

[.,[[[.,[.,.]],.],[[.,.],.]]] => [3,2,4,6,7,5,1] => [6,3,2,4,7,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12)

[.,[[[[.,.],.],.],[.,[.,.]]]] => [2,3,4,7,6,5,1] => [7,6,2,3,4,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,15),(3,14),(4,16),(5,14),(5,19),(6,15),(6,19),(7,16),(7,18),(9,17),(10,17),(11,8),(12,8),(13,11),(14,9),(15,10),(16,12),(17,13),(17,18),(18,11),(18,12),(19,9),(19,10)],20)

[.,[[[[.,.],.],.],[[.,.],.]]] => [2,3,4,6,7,5,1] => [6,2,3,4,7,5,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)

[.,[[.,[.,[.,[.,.]]]],[.,.]]] => [5,4,3,2,7,6,1] => [7,5,4,3,2,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,17),(6,14),(6,16),(7,15),(7,16),(9,17),(10,9),(11,9),(12,8),(13,8),(14,10),(15,11),(16,10),(16,11),(17,12),(17,13)],18)

[.,[[.,[.,[[.,.],.]]],[.,.]]] => [4,5,3,2,7,6,1] => [7,4,5,3,2,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,13),(4,14),(5,14),(6,15),(7,10),(7,13),(9,15),(10,9),(11,8),(12,8),(13,9),(14,10),(15,11),(15,12)],16)

[.,[[.,[[.,.],[.,.]]],[.,.]]] => [3,5,4,2,7,6,1] => [7,5,3,4,2,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,13),(4,12),(5,15),(6,15),(7,14),(9,14),(10,9),(11,9),(12,8),(13,8),(14,12),(14,13),(15,10),(15,11)],16)

[.,[[.,[[.,[.,.]],.]],[.,.]]] => [4,3,5,2,7,6,1] => [7,4,3,5,2,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,9),(5,12),(6,13),(7,11),(8,12),(9,14),(10,14),(11,13),(12,11),(13,9),(13,10)],15)

[.,[[.,[[[.,.],.],.]],[.,.]]] => [3,4,5,2,7,6,1] => [7,3,4,5,2,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,10),(4,14),(5,13),(6,15),(7,13),(7,14),(9,10),(10,15),(11,8),(12,8),(13,9),(14,9),(15,11),(15,12)],16)

[.,[[[.,.],[.,[.,.]]],[.,.]]] => [2,5,4,3,7,6,1] => [7,5,4,2,3,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,13),(4,14),(5,14),(6,15),(7,10),(7,13),(9,15),(10,9),(11,8),(12,8),(13,9),(14,10),(15,11),(15,12)],16)

[.,[[[.,.],[[.,.],.]],[.,.]]] => [2,4,5,3,7,6,1] => [7,4,2,5,3,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,12),(3,12),(4,12),(5,12),(6,10),(7,9),(8,9),(8,10),(9,11),(10,11),(12,8)],13)

[.,[[[.,[.,.]],[.,.]],[.,.]]] => [3,2,5,4,7,6,1] => [7,5,3,2,4,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,9),(5,12),(6,13),(7,11),(8,12),(9,14),(10,14),(11,13),(12,11),(13,9),(13,10)],15)

[.,[[[[.,.],.],[.,.]],[.,.]]] => [2,3,5,4,7,6,1] => [7,5,2,3,4,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,10),(4,14),(5,13),(6,15),(7,13),(7,14),(9,10),(10,15),(11,8),(12,8),(13,9),(14,9),(15,11),(15,12)],16)

[.,[[[.,[.,[.,.]]],.],[.,.]]] => [4,3,2,5,7,6,1] => [7,4,3,2,5,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,11),(6,13),(6,14),(7,10),(7,15),(9,10),(10,16),(11,8),(12,8),(13,9),(14,9),(15,16),(16,11),(16,12)],17)

[.,[[[.,[[.,.],.]],.],[.,.]]] => [3,4,2,5,7,6,1] => [7,3,4,2,5,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,10),(4,13),(5,14),(6,14),(7,9),(7,13),(9,15),(10,9),(11,8),(12,8),(13,15),(14,10),(15,11),(15,12)],16)

[.,[[[[.,.],[.,.]],.],[.,.]]] => [2,4,3,5,7,6,1] => [7,4,2,3,5,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,10),(4,13),(5,14),(6,14),(7,9),(7,13),(9,15),(10,9),(11,8),(12,8),(13,15),(14,10),(15,11),(15,12)],16)

[.,[[[[.,[.,.]],.],.],[.,.]]] => [3,2,4,5,7,6,1] => [7,3,2,4,5,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,12),(6,14),(6,17),(7,11),(7,17),(9,16),(10,16),(11,10),(12,8),(13,8),(14,9),(15,11),(16,12),(16,13),(17,9),(17,10)],18)

[.,[[[[[.,.],.],.],.],[.,.]]] => [2,3,4,5,7,6,1] => [7,2,3,4,5,6,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,13),(5,19),(5,20),(6,15),(6,19),(7,16),(7,20),(9,11),(10,12),(11,18),(12,18),(13,8),(14,8),(15,9),(16,10),(17,11),(17,12),(18,13),(18,14),(19,9),(19,17),(20,10),(20,17)],21)

[.,[[.,[.,[.,[.,[.,.]]]]],.]] => [6,5,4,3,2,7,1] => [6,5,4,3,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,16),(3,15),(4,8),(5,15),(5,18),(6,16),(6,19),(7,18),(7,19),(9,11),(10,11),(11,14),(12,9),(13,10),(14,8),(15,12),(16,13),(17,9),(17,10),(18,12),(18,17),(19,13),(19,17)],20)

[.,[[.,[.,[.,[[.,.],.]]]],.]] => [5,6,4,3,2,7,1] => [5,6,4,3,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,12),(16,10),(16,11)],17)

[.,[[.,[.,[[.,.],[.,.]]]],.]] => [4,6,5,3,2,7,1] => [6,4,5,3,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,16),(4,16),(5,12),(6,8),(7,14),(7,15),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,10),(15,11),(16,12),(16,15)],17)

[.,[[.,[.,[[.,[.,.]],.]]],.]] => [5,4,6,3,2,7,1] => [5,4,6,3,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15)

[.,[[.,[.,[[[.,.],.],.]]],.]] => [4,5,6,3,2,7,1] => [4,5,6,3,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,8),(6,13),(6,14),(7,11),(7,15),(9,11),(10,12),(11,10),(12,8),(13,9),(14,9),(15,10)],16)

[.,[[.,[[.,.],[.,[.,.]]]],.]] => [3,6,5,4,2,7,1] => [6,5,3,4,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,16),(4,16),(5,12),(6,8),(7,14),(7,15),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,10),(15,11),(16,12),(16,15)],17)

[.,[[.,[[.,.],[[.,.],.]]],.]] => [3,5,6,4,2,7,1] => [5,3,6,4,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,11),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(10,9),(11,8)],12)

[.,[[.,[[.,[.,.]],[.,.]]],.]] => [4,3,6,5,2,7,1] => [6,4,3,5,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,10),(5,9),(6,13),(7,12),(8,13),(10,14),(11,14),(12,9),(13,10),(13,11),(14,12)],15)

[.,[[.,[[[.,.],.],[.,.]]],.]] => [3,4,6,5,2,7,1] => [6,3,4,5,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,12),(4,14),(5,13),(6,8),(7,13),(7,14),(9,12),(10,9),(11,9),(12,8),(13,15),(14,15),(15,10),(15,11)],16)

[.,[[.,[[.,[.,[.,.]]],.]],.]] => [5,4,3,6,2,7,1] => [5,4,3,6,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15)

[.,[[.,[[.,[[.,.],.]],.]],.]] => [4,5,3,6,2,7,1] => [4,5,3,6,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[.,[[.,[[[.,.],[.,.]],.]],.]] => [3,5,4,6,2,7,1] => [5,3,4,6,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[.,[[.,[[[.,[.,.]],.],.]],.]] => [4,3,5,6,2,7,1] => [4,3,5,6,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,11),(11,14),(12,10),(13,12),(14,13)],15)

[.,[[.,[[[[.,.],.],.],.]],.]] => [3,4,5,6,2,7,1] => [3,4,5,6,2,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,13),(3,15),(4,14),(5,8),(6,14),(6,16),(7,15),(7,16),(9,12),(10,9),(11,9),(12,13),(13,8),(14,10),(15,11),(16,10),(16,11)],17)

[.,[[[.,.],[.,[.,[.,.]]]],.]] => [2,6,5,4,3,7,1] => [6,5,4,2,3,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,12),(16,10),(16,11)],17)

[.,[[[.,.],[.,[[.,.],.]]],.]] => [2,5,6,4,3,7,1] => [5,6,2,4,3,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,11),(11,13),(12,10),(13,12)],14)

[.,[[[.,.],[[.,.],[.,.]]],.]] => [2,4,6,5,3,7,1] => [6,4,2,5,3,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,11),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(10,9),(11,8)],12)

[.,[[[.,.],[[.,[.,.]],.]],.]] => [2,5,4,6,3,7,1] => [5,4,2,6,3,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[.,[[[.,.],[[[.,.],.],.]],.]] => [2,4,5,6,3,7,1] => [4,2,5,6,3,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[.,[[[.,[.,.]],[.,[.,.]]],.]] => [3,2,6,5,4,7,1] => [6,5,3,2,4,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15)

[.,[[[.,[.,.]],[[.,.],.]],.]] => [3,2,5,6,4,7,1] => [5,3,2,6,4,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[.,[[[[.,.],.],[.,[.,.]]],.]] => [2,3,6,5,4,7,1] => [6,5,2,3,4,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,8),(6,13),(6,14),(7,11),(7,15),(9,11),(10,12),(11,10),(12,8),(13,9),(14,9),(15,10)],16)

[.,[[[[.,.],.],[[.,.],.]],.]] => [2,3,5,6,4,7,1] => [5,2,3,6,4,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[.,[[[.,[.,[.,.]]],[.,.]],.]] => [4,3,2,6,5,7,1] => [6,4,3,2,5,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15)

[.,[[[.,[[.,.],.]],[.,.]],.]] => [3,4,2,6,5,7,1] => [6,3,4,2,5,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[.,[[[[.,.],[.,.]],[.,.]],.]] => [2,4,3,6,5,7,1] => [6,4,2,3,5,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[.,[[[[.,[.,.]],.],[.,.]],.]] => [3,2,4,6,5,7,1] => [6,3,2,4,5,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,11),(11,14),(12,10),(13,12),(14,13)],15)

[.,[[[[[.,.],.],.],[.,.]],.]] => [2,3,4,6,5,7,1] => [6,2,3,4,5,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,13),(3,15),(4,14),(5,8),(6,14),(6,16),(7,15),(7,16),(9,12),(10,9),(11,9),(12,13),(13,8),(14,10),(15,11),(16,10),(16,11)],17)

[.,[[[.,[.,[.,[.,.]]]],.],.]] => [5,4,3,2,6,7,1] => [5,4,3,2,6,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,16),(4,8),(5,13),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,12),(17,10),(17,11)],18)

[.,[[[.,[.,[[.,.],.]]],.],.]] => [4,5,3,2,6,7,1] => [4,5,3,2,6,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,13),(4,14),(5,8),(6,12),(6,13),(7,11),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,10),(15,12)],16)

[.,[[[.,[[.,.],[.,.]]],.],.]] => [3,5,4,2,6,7,1] => [5,3,4,2,6,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,12),(4,15),(5,15),(6,8),(7,11),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,10),(15,12),(15,13)],16)

[.,[[[.,[[.,[.,.]],.]],.],.]] => [4,3,5,2,6,7,1] => [4,3,5,2,6,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,13),(5,11),(6,12),(7,8),(7,10),(8,14),(9,13),(10,14),(12,10),(13,12),(14,11)],15)

[.,[[[.,[[[.,.],.],.]],.],.]] => [3,4,5,2,6,7,1] => [3,4,5,2,6,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,11),(7,13),(9,12),(10,8),(11,10),(12,11),(13,10),(14,9),(15,9)],16)

[.,[[[[.,.],[.,[.,.]]],.],.]] => [2,5,4,3,6,7,1] => [5,4,2,3,6,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,13),(4,14),(5,8),(6,12),(6,13),(7,11),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,10),(15,12)],16)

[.,[[[[.,.],[[.,.],.]],.],.]] => [2,4,5,3,6,7,1] => [4,2,5,3,6,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,12),(6,8),(7,8),(7,9),(8,11),(9,11),(11,10),(12,9)],13)

[.,[[[[.,[.,.]],[.,.]],.],.]] => [3,2,5,4,6,7,1] => [5,3,2,4,6,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,13),(5,11),(6,12),(7,8),(7,10),(8,14),(9,13),(10,14),(12,10),(13,12),(14,11)],15)

[.,[[[[[.,.],.],[.,.]],.],.]] => [2,3,5,4,6,7,1] => [5,2,3,4,6,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,11),(7,13),(9,12),(10,8),(11,10),(12,11),(13,10),(14,9),(15,9)],16)

[.,[[[[.,[.,[.,.]]],.],.],.]] => [4,3,2,5,6,7,1] => [4,3,2,5,6,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,8),(5,15),(5,16),(6,13),(6,17),(7,14),(7,17),(9,13),(10,12),(11,12),(12,8),(13,10),(14,11),(15,9),(16,9),(17,10),(17,11)],18)

[.,[[[[.,[[.,.],.]],.],.],.]] => [3,4,2,5,6,7,1] => [3,4,2,5,6,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,10),(13,12),(14,9),(15,13),(16,9),(16,10)],17)

[.,[[[[[.,.],[.,.]],.],.],.]] => [2,4,3,5,6,7,1] => [4,2,3,5,6,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,10),(13,12),(14,9),(15,13),(16,9),(16,10)],17)

[.,[[[[[.,[.,.]],.],.],.],.]] => [3,2,4,5,6,7,1] => [3,2,4,5,6,7,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,8),(5,14),(5,19),(6,15),(6,18),(7,18),(7,19),(9,13),(10,13),(11,10),(12,9),(13,8),(14,11),(15,12),(16,14),(17,9),(17,10),(18,12),(18,17),(19,11),(19,17)],20)

[[.,.],[.,[.,[.,[[.,.],.]]]]] => [1,6,7,5,4,3,2] => [6,7,5,4,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,14),(5,13),(6,12),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,9),(13,12),(14,11),(15,13),(16,9),(16,10)],17)

[[.,.],[.,[.,[[.,.],[.,.]]]]] => [1,5,7,6,4,3,2] => [7,5,6,4,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,14),(5,12),(6,13),(7,11),(7,15),(9,8),(10,8),(11,9),(12,10),(13,11),(14,13),(15,9),(15,10),(16,12),(16,15)],17)

[[.,.],[.,[.,[[.,[.,.]],.]]]] => [1,6,5,7,4,3,2] => [6,5,7,4,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,13),(6,12),(7,10),(7,11),(8,12),(9,13),(10,14),(11,14),(12,10),(13,11)],15)

[[.,.],[.,[.,[[[.,.],.],.]]]] => [1,5,6,7,4,3,2] => [5,6,7,1,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,11),(6,12),(6,13),(7,14),(7,15),(9,11),(10,8),(11,8),(12,10),(13,10),(14,9),(15,9)],16)

[[.,.],[.,[[.,.],[.,[.,.]]]]] => [1,4,7,6,5,3,2] => [7,6,4,5,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,16),(4,14),(5,14),(6,12),(7,13),(7,15),(9,10),(10,8),(11,8),(12,9),(13,11),(14,12),(15,10),(15,11),(16,9),(16,15)],17)

[[.,.],[.,[[.,.],[[.,.],.]]]] => [1,4,6,7,5,3,2] => [6,4,7,1,5,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)

[[.,.],[.,[[.,[.,.]],[.,.]]]] => [1,5,4,7,6,3,2] => [7,5,4,6,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,14),(11,13),(12,10),(12,13),(13,14)],15)

[[.,.],[.,[[[.,.],.],[.,.]]]] => [1,4,5,7,6,3,2] => [7,4,5,1,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[[.,.],[.,[[.,[.,[.,.]]],.]]] => [1,6,5,4,7,3,2] => [6,5,4,7,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,14),(12,14),(13,12)],15)

[[.,.],[.,[[.,[[.,.],.]],.]]] => [1,5,6,4,7,3,2] => [5,6,4,1,7,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12)

[[.,.],[.,[[[.,.],[.,.]],.]]] => [1,4,6,5,7,3,2] => [6,4,5,1,7,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12)

[[.,.],[.,[[[.,[.,.]],.],.]]] => [1,5,4,6,7,3,2] => [5,4,6,1,7,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12)

[[.,.],[.,[[[[.,.],.],.],.]]] => [1,4,5,6,7,3,2] => [4,5,1,6,7,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)

[[.,.],[[.,.],[.,[.,[.,.]]]]] => [1,3,7,6,5,4,2] => [7,6,5,3,1,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,8),(6,8),(6,9),(7,9),(7,10),(8,11),(9,11),(9,12),(10,12),(11,13),(12,13),(14,10)],15)

[[.,.],[[.,.],[.,[[.,.],.]]]] => [1,3,6,7,5,4,2] => [6,7,3,1,5,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)

[[.,.],[[.,.],[[.,.],[.,.]]]] => [1,3,5,7,6,4,2] => [7,5,3,1,6,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)

[[.,.],[[.,.],[[.,[.,.]],.]]] => [1,3,6,5,7,4,2] => [6,5,3,1,7,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)

[[.,.],[[.,.],[[[.,.],.],.]]] => [1,3,5,6,7,4,2] => [5,3,1,6,7,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)

[[.,.],[[.,[.,.]],[.,[.,.]]]] => [1,4,3,7,6,5,2] => [7,6,4,3,1,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)

[[.,.],[[.,[.,.]],[[.,.],.]]] => [1,4,3,6,7,5,2] => [6,4,3,1,7,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)

[[.,.],[[[.,.],.],[.,[.,.]]]] => [1,3,4,7,6,5,2] => [7,6,3,1,4,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)

[[.,.],[[[.,.],.],[[.,.],.]]] => [1,3,4,6,7,5,2] => [6,3,1,4,7,5,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)

[[.,.],[[.,[.,[.,.]]],[.,.]]] => [1,5,4,3,7,6,2] => [7,5,4,3,1,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)

[[.,.],[[.,[[.,.],.]],[.,.]]] => [1,4,5,3,7,6,2] => [7,4,5,1,3,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)

[[.,.],[[[.,.],[.,.]],[.,.]]] => [1,3,5,4,7,6,2] => [7,5,3,1,4,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)

[[.,.],[[[.,[.,.]],.],[.,.]]] => [1,4,3,5,7,6,2] => [7,4,3,1,5,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[[.,.],[[[[.,.],.],.],[.,.]]] => [1,3,4,5,7,6,2] => [7,3,1,4,5,6,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)

[[.,.],[[.,[.,[.,[.,.]]]],.]] => [1,6,5,4,3,7,2] => [6,5,4,3,1,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)

[[.,.],[[.,[.,[[.,.],.]]],.]] => [1,5,6,4,3,7,2] => [5,6,4,1,3,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(9,10)],11)

[[.,.],[[.,[[.,.],[.,.]]],.]] => [1,4,6,5,3,7,2] => [6,4,5,1,3,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(9,10)],11)

[[.,.],[[.,[[.,[.,.]],.]],.]] => [1,5,4,6,3,7,2] => [5,4,6,1,3,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(9,10)],11)

[[.,.],[[.,[[[.,.],.],.]],.]] => [1,4,5,6,3,7,2] => [4,5,1,6,3,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)

[[.,.],[[[.,.],[.,[.,.]]],.]] => [1,3,6,5,4,7,2] => [6,5,3,1,4,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)

[[.,.],[[[.,.],[[.,.],.]],.]] => [1,3,5,6,4,7,2] => [5,3,1,6,4,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)

[[.,.],[[[.,[.,.]],[.,.]],.]] => [1,4,3,6,5,7,2] => [6,4,3,1,5,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)

[[.,.],[[[[.,.],.],[.,.]],.]] => [1,3,4,6,5,7,2] => [6,3,1,4,5,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)

[[.,.],[[[.,[.,[.,.]]],.],.]] => [1,5,4,3,6,7,2] => [5,4,3,1,6,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)

[[.,.],[[[.,[[.,.],.]],.],.]] => [1,4,5,3,6,7,2] => [4,5,1,3,6,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)

[[.,.],[[[[.,.],[.,.]],.],.]] => [1,3,5,4,6,7,2] => [5,3,1,4,6,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)

[[.,.],[[[[.,[.,.]],.],.],.]] => [1,4,3,5,6,7,2] => [4,3,1,5,6,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)

[[.,.],[[[[[.,.],.],.],.],.]] => [1,3,4,5,6,7,2] => [3,1,4,5,6,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)

[[.,[.,.]],[.,[.,[.,[.,.]]]]] => [2,1,7,6,5,4,3] => [7,6,5,4,2,1,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,15),(5,18),(6,13),(6,19),(7,18),(7,19),(9,11),(10,12),(11,8),(12,8),(13,10),(14,13),(15,9),(16,14),(17,11),(17,12),(18,9),(18,17),(19,10),(19,17)],20)

[[.,[.,.]],[.,[.,[[.,.],.]]]] => [2,1,6,7,5,4,3] => [6,7,5,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,13),(10,11),(11,14),(12,14),(13,12)],15)

[[.,[.,.]],[.,[[.,.],[.,.]]]] => [2,1,5,7,6,4,3] => [7,5,6,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,12),(9,12),(10,11),(10,13),(11,14),(12,13),(13,14)],15)

[[.,[.,.]],[.,[[.,[.,.]],.]]] => [2,1,6,5,7,4,3] => [6,5,7,2,1,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,12),(9,12),(10,11),(11,13),(12,13)],14)

[[.,[.,.]],[.,[[[.,.],.],.]]] => [2,1,5,6,7,4,3] => [5,6,2,1,7,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)

[[.,[.,.]],[[.,.],[.,[.,.]]]] => [2,1,4,7,6,5,3] => [7,6,4,2,1,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)

[[.,[.,.]],[[.,.],[[.,.],.]]] => [2,1,4,6,7,5,3] => [6,4,2,1,7,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)

[[.,[.,.]],[[.,[.,.]],[.,.]]] => [2,1,5,4,7,6,3] => [7,5,4,2,1,6,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[[.,[.,.]],[[[.,.],.],[.,.]]] => [2,1,4,5,7,6,3] => [7,4,2,1,5,6,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[[.,[.,.]],[[.,[.,[.,.]]],.]] => [2,1,6,5,4,7,3] => [6,5,4,2,1,7,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)

[[.,[.,.]],[[.,[[.,.],.]],.]] => [2,1,5,6,4,7,3] => [5,6,2,1,4,7,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)

[[.,[.,.]],[[[.,.],[.,.]],.]] => [2,1,4,6,5,7,3] => [6,4,2,1,5,7,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)

[[.,[.,.]],[[[.,[.,.]],.],.]] => [2,1,5,4,6,7,3] => [5,4,2,1,6,7,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)

[[.,[.,.]],[[[[.,.],.],.],.]] => [2,1,4,5,6,7,3] => [4,2,1,5,6,7,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)

[[[.,.],.],[.,[.,[.,[.,.]]]]] => [1,2,7,6,5,4,3] => [7,6,5,4,1,2,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,16),(3,15),(4,16),(4,17),(5,14),(5,19),(6,15),(6,20),(7,19),(7,20),(9,14),(10,12),(11,13),(12,8),(13,8),(14,10),(15,11),(16,9),(17,9),(18,12),(18,13),(19,10),(19,18),(20,11),(20,18)],21)

[[[.,.],.],[.,[.,[[.,.],.]]]] => [1,2,6,7,5,4,3] => [6,7,5,1,2,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,15),(4,15),(5,13),(6,11),(6,12),(7,10),(7,13),(9,11),(10,9),(11,8),(12,8),(13,9),(14,12),(15,10)],16)

[[[.,.],.],[.,[[.,.],[.,.]]]] => [1,2,5,7,6,4,3] => [7,5,6,1,2,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,14),(4,12),(5,15),(6,15),(7,11),(7,13),(9,10),(10,8),(11,9),(12,8),(13,9),(14,11),(15,10),(15,12)],16)

[[[.,.],.],[.,[[.,[.,.]],.]]] => [1,2,6,5,7,4,3] => [6,5,7,1,2,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,10),(5,10),(6,8),(7,8),(7,12),(8,13),(9,11),(10,12),(11,14),(12,13),(13,14)],15)

[[[.,.],.],[.,[[[.,.],.],.]]] => [1,2,5,6,7,4,3] => [5,6,1,2,7,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)

[[[.,.],.],[[.,.],[.,[.,.]]]] => [1,2,4,7,6,5,3] => [7,6,4,1,2,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)

[[[.,.],.],[[.,.],[[.,.],.]]] => [1,2,4,6,7,5,3] => [6,4,1,2,7,5,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)

[[[.,.],.],[[.,[.,.]],[.,.]]] => [1,2,5,4,7,6,3] => [7,5,4,1,2,6,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[[[.,.],.],[[[.,.],.],[.,.]]] => [1,2,4,5,7,6,3] => [7,4,1,2,5,6,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[[[.,.],.],[[.,[.,[.,.]]],.]] => [1,2,6,5,4,7,3] => [6,5,4,1,2,7,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)

[[[.,.],.],[[.,[[.,.],.]],.]] => [1,2,5,6,4,7,3] => [5,6,1,2,4,7,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)

[[[.,.],.],[[[.,.],[.,.]],.]] => [1,2,4,6,5,7,3] => [6,4,1,2,5,7,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)

[[[.,.],.],[[[.,[.,.]],.],.]] => [1,2,5,4,6,7,3] => [5,4,1,2,6,7,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)

[[[.,.],.],[[[[.,.],.],.],.]] => [1,2,4,5,6,7,3] => [4,1,2,5,6,7,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)

[[.,[.,[.,.]]],[.,[.,[.,.]]]] => [3,2,1,7,6,5,4] => [7,6,5,3,2,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,15),(4,14),(5,15),(5,16),(6,12),(6,17),(7,14),(7,17),(9,13),(10,8),(11,8),(12,10),(13,12),(14,11),(15,9),(16,9),(17,10),(17,11)],18)

[[.,[.,[.,.]]],[.,[[.,.],.]]] => [3,2,1,6,7,5,4] => [6,7,3,2,1,5,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,10),(4,10),(5,11),(6,11),(7,8),(7,9),(8,12),(9,12),(10,13),(11,14),(12,14),(14,13)],15)

[[.,[.,[.,.]]],[[.,.],[.,.]]] => [3,2,1,5,7,6,4] => [7,5,3,2,1,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)

[[.,[.,[.,.]]],[[.,[.,.]],.]] => [3,2,1,6,5,7,4] => [6,5,3,2,1,7,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)

[[.,[.,[.,.]]],[[[.,.],.],.]] => [3,2,1,5,6,7,4] => [5,3,2,1,6,7,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)

[[.,[[.,.],.]],[.,[.,[.,.]]]] => [2,3,1,7,6,5,4] => [7,6,5,2,3,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,15),(4,15),(5,12),(6,14),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,13),(13,11),(14,9),(15,12),(16,9),(16,10)],17)

[[.,[[.,.],.]],[.,[[.,.],.]]] => [2,3,1,6,7,5,4] => [6,7,2,3,1,5,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,8),(3,8),(4,9),(5,9),(6,10),(7,10),(8,13),(9,12),(10,11),(11,13),(13,12)],14)

[[.,[[.,.],.]],[[.,.],[.,.]]] => [2,3,1,5,7,6,4] => [7,5,2,3,1,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12)

[[.,[[.,.],.]],[[.,[.,.]],.]] => [2,3,1,6,5,7,4] => [6,5,2,3,1,7,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12)

[[.,[[.,.],.]],[[[.,.],.],.]] => [2,3,1,5,6,7,4] => [5,2,3,1,6,7,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12)

[[[.,.],[.,.]],[.,[.,[.,.]]]] => [1,3,2,7,6,5,4] => [7,6,5,3,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,15),(4,15),(5,12),(6,14),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,13),(13,11),(14,9),(15,12),(16,9),(16,10)],17)

[[[.,.],[.,.]],[.,[[.,.],.]]] => [1,3,2,6,7,5,4] => [6,7,3,1,2,5,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,8),(3,8),(4,9),(5,9),(6,10),(7,10),(8,13),(9,12),(10,11),(11,13),(13,12)],14)

[[[.,.],[.,.]],[[.,.],[.,.]]] => [1,3,2,5,7,6,4] => [7,5,3,1,2,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12)

[[[.,.],[.,.]],[[.,[.,.]],.]] => [1,3,2,6,5,7,4] => [6,5,3,1,2,7,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12)

[[[.,.],[.,.]],[[[.,.],.],.]] => [1,3,2,5,6,7,4] => [5,3,1,2,6,7,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12)

[[[.,[.,.]],.],[.,[.,[.,.]]]] => [2,1,3,7,6,5,4] => [7,6,5,2,1,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,15),(5,13),(5,15),(6,12),(6,17),(7,14),(7,17),(9,12),(10,8),(11,8),(12,10),(13,9),(14,11),(15,9),(16,13),(17,10),(17,11)],18)

[[[.,[.,.]],.],[.,[[.,.],.]]] => [2,1,3,6,7,5,4] => [6,7,2,1,3,5,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,13),(9,12),(10,11),(11,14),(12,14),(14,13)],15)

[[[.,[.,.]],.],[[.,.],[.,.]]] => [2,1,3,5,7,6,4] => [7,5,2,1,3,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12)

[[[.,[.,.]],.],[[.,[.,.]],.]] => [2,1,3,6,5,7,4] => [6,5,2,1,3,7,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12)

[[[.,[.,.]],.],[[[.,.],.],.]] => [2,1,3,5,6,7,4] => [5,2,1,3,6,7,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(10,11)],12)

[[[[.,.],.],.],[.,[.,[.,.]]]] => [1,2,3,7,6,5,4] => [7,6,5,1,2,3,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,17),(4,14),(4,19),(5,15),(5,18),(6,16),(6,18),(7,17),(7,19),(9,14),(10,9),(11,9),(12,8),(13,8),(14,12),(15,10),(16,11),(17,13),(18,10),(18,11),(19,12),(19,13)],20)

[[[[.,.],.],.],[.,[[.,.],.]]] => [1,2,3,6,7,5,4] => [6,7,1,2,3,5,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,14),(5,13),(6,12),(6,16),(7,13),(7,16),(9,11),(10,11),(11,8),(12,9),(13,10),(14,12),(15,8),(16,9),(16,10)],17)

[[[[.,.],.],.],[[.,.],[.,.]]] => [1,2,3,5,7,6,4] => [7,5,1,2,3,6,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)

[[[[.,.],.],.],[[.,[.,.]],.]] => [1,2,3,6,5,7,4] => [6,5,1,2,3,7,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)

[[[[.,.],.],.],[[[.,.],.],.]] => [1,2,3,5,6,7,4] => [5,1,2,3,6,7,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)

[[.,[.,[.,[.,.]]]],[.,[.,.]]] => [4,3,2,1,7,6,5] => [7,6,4,3,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,15),(4,14),(5,12),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,8),(17,10),(17,11)],18)

[[.,[.,[.,[.,.]]]],[[.,.],.]] => [4,3,2,1,6,7,5] => [6,4,3,2,1,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)

[[.,[.,[[.,.],.]]],[.,[.,.]]] => [3,4,2,1,7,6,5] => [7,6,3,4,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,12),(10,9),(11,8),(12,11),(13,9),(14,8),(15,10)],16)

[[.,[.,[[.,.],.]]],[[.,.],.]] => [3,4,2,1,6,7,5] => [6,3,4,2,1,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,10),(10,11),(11,12)],13)

[[.,[[.,.],[.,.]]],[.,[.,.]]] => [2,4,3,1,7,6,5] => [7,6,4,2,3,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,15),(6,15),(7,10),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,8),(15,12),(15,13)],16)

[[.,[[.,.],[.,.]]],[[.,.],.]] => [2,4,3,1,6,7,5] => [6,4,2,3,1,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,12),(4,12),(5,12),(6,10),(7,9),(8,9),(8,10),(9,11),(10,11),(11,12)],13)

[[.,[[.,[.,.]],.]],[.,[.,.]]] => [3,2,4,1,7,6,5] => [7,6,3,2,4,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15)

[[.,[[.,[.,.]],.]],[[.,.],.]] => [3,2,4,1,6,7,5] => [6,3,2,4,1,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(9,11),(10,9)],12)

[[.,[[[.,.],.],.]],[.,[.,.]]] => [2,3,4,1,7,6,5] => [7,6,2,3,4,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,12),(4,15),(5,11),(6,13),(6,14),(7,10),(7,15),(9,12),(10,8),(11,10),(12,11),(13,9),(14,9),(15,8)],16)

[[.,[[[.,.],.],.]],[[.,.],.]] => [2,3,4,1,6,7,5] => [6,2,3,4,1,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,9),(6,8),(7,8),(7,9),(8,11),(9,11),(10,12),(11,10)],13)

[[[.,.],[.,[.,.]]],[.,[.,.]]] => [1,4,3,2,7,6,5] => [7,6,4,3,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,12),(10,9),(11,8),(12,11),(13,9),(14,8),(15,10)],16)

[[[.,.],[.,[.,.]]],[[.,.],.]] => [1,4,3,2,6,7,5] => [6,4,3,1,2,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,10),(10,11),(11,12)],13)

[[[.,.],[[.,.],.]],[.,[.,.]]] => [1,3,4,2,7,6,5] => [7,6,3,1,4,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,9),(7,8),(7,10),(8,11),(9,10),(10,11),(12,9)],13)

[[[.,.],[[.,.],.]],[[.,.],.]] => [1,3,4,2,6,7,5] => [6,3,1,4,2,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,8),(5,8),(6,8),(7,8),(8,9)],10)

[[[.,[.,.]],[.,.]],[.,[.,.]]] => [2,1,4,3,7,6,5] => [7,6,4,2,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15)

[[[.,[.,.]],[.,.]],[[.,.],.]] => [2,1,4,3,6,7,5] => [6,4,2,1,3,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(9,11),(10,9)],12)

[[[[.,.],.],[.,.]],[.,[.,.]]] => [1,2,4,3,7,6,5] => [7,6,4,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,12),(4,15),(5,11),(6,13),(6,14),(7,10),(7,15),(9,12),(10,8),(11,10),(12,11),(13,9),(14,9),(15,8)],16)

[[[[.,.],.],[.,.]],[[.,.],.]] => [1,2,4,3,6,7,5] => [6,4,1,2,3,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,9),(6,8),(7,8),(7,9),(8,11),(9,11),(10,12),(11,10)],13)

[[[.,[.,[.,.]]],.],[.,[.,.]]] => [3,2,1,4,7,6,5] => [7,6,3,2,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,13),(5,12),(5,16),(6,11),(6,13),(7,14),(7,15),(9,12),(10,11),(11,9),(12,8),(13,9),(14,10),(15,10),(16,8)],17)

[[[.,[.,[.,.]]],.],[[.,.],.]] => [3,2,1,4,6,7,5] => [6,3,2,1,4,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,9),(6,8),(7,8),(7,9),(8,11),(9,11),(10,12),(11,10)],13)

[[[.,[[.,.],.]],.],[.,[.,.]]] => [2,3,1,4,7,6,5] => [7,6,2,3,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,11),(10,9),(11,8),(12,10),(13,9),(14,8),(15,12)],16)

[[[.,[[.,.],.]],.],[[.,.],.]] => [2,3,1,4,6,7,5] => [6,2,3,1,4,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(9,11),(10,9)],12)

[[[[.,.],[.,.]],.],[.,[.,.]]] => [1,3,2,4,7,6,5] => [7,6,3,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,11),(10,9),(11,8),(12,10),(13,9),(14,8),(15,12)],16)

[[[[.,.],[.,.]],.],[[.,.],.]] => [1,3,2,4,6,7,5] => [6,3,1,2,4,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(9,11),(10,9)],12)

[[[[.,[.,.]],.],.],[.,[.,.]]] => [2,1,3,4,7,6,5] => [7,6,2,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,13),(5,15),(6,12),(6,17),(7,14),(7,17),(9,13),(10,9),(11,9),(12,10),(13,8),(14,11),(15,8),(16,12),(17,10),(17,11)],18)

[[[[.,[.,.]],.],.],[[.,.],.]] => [2,1,3,4,6,7,5] => [6,2,1,3,4,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,10),(10,11),(11,12)],13)

[[[[[.,.],.],.],.],[.,[.,.]]] => [1,2,3,4,7,6,5] => [7,6,1,2,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,16),(3,15),(4,14),(4,17),(5,15),(5,19),(6,16),(6,20),(7,19),(7,20),(9,14),(10,9),(11,9),(12,10),(13,11),(14,8),(15,12),(16,13),(17,8),(18,10),(18,11),(19,12),(19,18),(20,13),(20,18)],21)

[[[[[.,.],.],.],.],[[.,.],.]] => [1,2,3,4,6,7,5] => [6,1,2,3,4,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)

[[.,[.,[.,[.,[.,.]]]]],[.,.]] => [5,4,3,2,1,7,6] => [7,5,4,3,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,16),(3,15),(4,8),(5,15),(5,18),(6,16),(6,19),(7,18),(7,19),(9,11),(10,11),(11,14),(12,9),(13,10),(14,8),(15,12),(16,13),(17,9),(17,10),(18,12),(18,17),(19,13),(19,17)],20)

[[.,[.,[.,[[.,.],.]]]],[.,.]] => [4,5,3,2,1,7,6] => [7,4,5,3,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,12),(16,10),(16,11)],17)

[[.,[.,[[.,.],[.,.]]]],[.,.]] => [3,5,4,2,1,7,6] => [7,5,3,4,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,16),(4,16),(5,12),(6,8),(7,14),(7,15),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,10),(15,11),(16,12),(16,15)],17)

[[.,[.,[[.,[.,.]],.]]],[.,.]] => [4,3,5,2,1,7,6] => [7,4,3,5,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15)

[[.,[.,[[[.,.],.],.]]],[.,.]] => [3,4,5,2,1,7,6] => [7,3,4,5,2,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,8),(6,13),(6,14),(7,11),(7,15),(9,11),(10,12),(11,10),(12,8),(13,9),(14,9),(15,10)],16)

[[.,[[.,.],[.,[.,.]]]],[.,.]] => [2,5,4,3,1,7,6] => [7,5,4,2,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,16),(4,16),(5,12),(6,8),(7,14),(7,15),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,10),(15,11),(16,12),(16,15)],17)

[[.,[[.,.],[[.,.],.]]],[.,.]] => [2,4,5,3,1,7,6] => [7,4,2,5,3,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,11),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(10,9),(11,8)],12)

[[.,[[.,[.,.]],[.,.]]],[.,.]] => [3,2,5,4,1,7,6] => [7,5,3,2,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,10),(5,9),(6,13),(7,12),(8,13),(10,14),(11,14),(12,9),(13,10),(13,11),(14,12)],15)

[[.,[[[.,.],.],[.,.]]],[.,.]] => [2,3,5,4,1,7,6] => [7,5,2,3,4,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,12),(4,14),(5,13),(6,8),(7,13),(7,14),(9,12),(10,9),(11,9),(12,8),(13,15),(14,15),(15,10),(15,11)],16)

[[.,[[.,[.,[.,.]]],.]],[.,.]] => [4,3,2,5,1,7,6] => [7,4,3,2,5,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15)

[[.,[[.,[[.,.],.]],.]],[.,.]] => [3,4,2,5,1,7,6] => [7,3,4,2,5,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[[.,[[[.,.],[.,.]],.]],[.,.]] => [2,4,3,5,1,7,6] => [7,4,2,3,5,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[[.,[[[.,[.,.]],.],.]],[.,.]] => [3,2,4,5,1,7,6] => [7,3,2,4,5,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,11),(11,14),(12,10),(13,12),(14,13)],15)

[[.,[[[[.,.],.],.],.]],[.,.]] => [2,3,4,5,1,7,6] => [7,2,3,4,5,1,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,13),(3,15),(4,14),(5,8),(6,14),(6,16),(7,15),(7,16),(9,12),(10,9),(11,9),(12,13),(13,8),(14,10),(15,11),(16,10),(16,11)],17)

[[[.,.],[.,[.,[.,.]]]],[.,.]] => [1,5,4,3,2,7,6] => [7,5,4,3,1,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,12),(16,10),(16,11)],17)

[[[.,.],[.,[[.,.],.]]],[.,.]] => [1,4,5,3,2,7,6] => [7,4,5,1,3,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,11),(11,13),(12,10),(13,12)],14)

[[[.,.],[[.,.],[.,.]]],[.,.]] => [1,3,5,4,2,7,6] => [7,5,3,1,4,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,11),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(10,9),(11,8)],12)

[[[.,.],[[.,[.,.]],.]],[.,.]] => [1,4,3,5,2,7,6] => [7,4,3,1,5,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[[[.,.],[[[.,.],.],.]],[.,.]] => [1,3,4,5,2,7,6] => [7,3,1,4,5,2,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[[[.,[.,.]],[.,[.,.]]],[.,.]] => [2,1,5,4,3,7,6] => [7,5,4,2,1,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15)

[[[.,[.,.]],[[.,.],.]],[.,.]] => [2,1,4,5,3,7,6] => [7,4,2,1,5,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[[[[.,.],.],[.,[.,.]]],[.,.]] => [1,2,5,4,3,7,6] => [7,5,4,1,2,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,8),(6,13),(6,14),(7,11),(7,15),(9,11),(10,12),(11,10),(12,8),(13,9),(14,9),(15,10)],16)

[[[[.,.],.],[[.,.],.]],[.,.]] => [1,2,4,5,3,7,6] => [7,4,1,2,5,3,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[[[.,[.,[.,.]]],[.,.]],[.,.]] => [3,2,1,5,4,7,6] => [7,5,3,2,1,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15)

[[[.,[[.,.],.]],[.,.]],[.,.]] => [2,3,1,5,4,7,6] => [7,5,2,3,1,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[[[[.,.],[.,.]],[.,.]],[.,.]] => [1,3,2,5,4,7,6] => [7,5,3,1,2,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[[[[.,[.,.]],.],[.,.]],[.,.]] => [2,1,3,5,4,7,6] => [7,5,2,1,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,11),(11,14),(12,10),(13,12),(14,13)],15)

[[[[[.,.],.],.],[.,.]],[.,.]] => [1,2,3,5,4,7,6] => [7,5,1,2,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,13),(3,15),(4,14),(5,8),(6,14),(6,16),(7,15),(7,16),(9,12),(10,9),(11,9),(12,13),(13,8),(14,10),(15,11),(16,10),(16,11)],17)

[[[.,[.,[.,[.,.]]]],.],[.,.]] => [4,3,2,1,5,7,6] => [7,4,3,2,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,16),(4,8),(5,13),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,12),(17,10),(17,11)],18)

[[[.,[.,[[.,.],.]]],.],[.,.]] => [3,4,2,1,5,7,6] => [7,3,4,2,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,13),(4,14),(5,8),(6,12),(6,13),(7,11),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,10),(15,12)],16)

[[[.,[[.,.],[.,.]]],.],[.,.]] => [2,4,3,1,5,7,6] => [7,4,2,3,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,12),(4,15),(5,15),(6,8),(7,11),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,10),(15,12),(15,13)],16)

[[[.,[[.,[.,.]],.]],.],[.,.]] => [3,2,4,1,5,7,6] => [7,3,2,4,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,13),(5,11),(6,12),(7,8),(7,10),(8,14),(9,13),(10,14),(12,10),(13,12),(14,11)],15)

[[[.,[[[.,.],.],.]],.],[.,.]] => [2,3,4,1,5,7,6] => [7,2,3,4,1,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,11),(7,13),(9,12),(10,8),(11,10),(12,11),(13,10),(14,9),(15,9)],16)

[[[[.,.],[.,[.,.]]],.],[.,.]] => [1,4,3,2,5,7,6] => [7,4,3,1,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,13),(4,14),(5,8),(6,12),(6,13),(7,11),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,10),(15,12)],16)

[[[[.,.],[[.,.],.]],.],[.,.]] => [1,3,4,2,5,7,6] => [7,3,1,4,2,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,12),(6,8),(7,8),(7,9),(8,11),(9,11),(11,10),(12,9)],13)

[[[[.,[.,.]],[.,.]],.],[.,.]] => [2,1,4,3,5,7,6] => [7,4,2,1,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,13),(5,11),(6,12),(7,8),(7,10),(8,14),(9,13),(10,14),(12,10),(13,12),(14,11)],15)

[[[[[.,.],.],[.,.]],.],[.,.]] => [1,2,4,3,5,7,6] => [7,4,1,2,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,11),(7,13),(9,12),(10,8),(11,10),(12,11),(13,10),(14,9),(15,9)],16)

[[[[.,[.,[.,.]]],.],.],[.,.]] => [3,2,1,4,5,7,6] => [7,3,2,1,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,8),(5,15),(5,16),(6,13),(6,17),(7,14),(7,17),(9,13),(10,12),(11,12),(12,8),(13,10),(14,11),(15,9),(16,9),(17,10),(17,11)],18)

[[[[.,[[.,.],.]],.],.],[.,.]] => [2,3,1,4,5,7,6] => [7,2,3,1,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,10),(13,12),(14,9),(15,13),(16,9),(16,10)],17)

[[[[[.,.],[.,.]],.],.],[.,.]] => [1,3,2,4,5,7,6] => [7,3,1,2,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,10),(13,12),(14,9),(15,13),(16,9),(16,10)],17)

[[[[[.,[.,.]],.],.],.],[.,.]] => [2,1,3,4,5,7,6] => [7,2,1,3,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,8),(5,14),(5,19),(6,15),(6,18),(7,18),(7,19),(9,13),(10,13),(11,10),(12,9),(13,8),(14,11),(15,12),(16,14),(17,9),(17,10),(18,12),(18,17),(19,11),(19,17)],20)

[[.,[.,[.,[.,[[.,.],.]]]]],.] => [5,6,4,3,2,1,7] => [5,6,4,3,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,8),(5,14),(5,19),(6,15),(6,18),(7,18),(7,19),(9,13),(10,13),(11,10),(12,9),(13,8),(14,11),(15,12),(16,14),(17,9),(17,10),(18,12),(18,17),(19,11),(19,17)],20)

[[.,[.,[.,[[.,.],[.,.]]]]],.] => [4,6,5,3,2,1,7] => [6,4,5,3,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,19),(3,19),(4,14),(5,8),(6,17),(6,18),(7,15),(7,18),(9,11),(10,12),(11,13),(12,13),(13,8),(14,10),(15,9),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,14),(19,17)],20)

[[.,[.,[.,[[.,[.,.]],.]]]],.] => [5,4,6,3,2,1,7] => [5,4,6,3,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,10),(13,12),(14,9),(15,13),(16,9),(16,10)],17)

[[.,[.,[.,[[[.,.],.],.]]]],.] => [4,5,6,3,2,1,7] => [4,5,6,3,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,8),(5,15),(5,16),(6,13),(6,17),(7,14),(7,17),(9,13),(10,12),(11,12),(12,8),(13,10),(14,11),(15,9),(16,9),(17,10),(17,11)],18)

[[.,[.,[[.,.],[.,[.,.]]]]],.] => [3,6,5,4,2,1,7] => [6,5,3,4,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,14),(5,8),(6,14),(6,17),(7,15),(7,18),(9,13),(10,13),(11,9),(12,10),(13,8),(14,11),(15,12),(16,9),(16,10),(17,11),(17,16),(18,12),(18,16),(19,17),(19,18)],20)

[[.,[.,[[.,.],[[.,.],.]]]],.] => [3,5,6,4,2,1,7] => [5,3,6,4,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,12),(6,8),(7,8),(7,9),(8,11),(9,11),(11,10),(12,9)],13)

[[.,[.,[[.,[.,.]],[.,.]]]],.] => [4,3,6,5,2,1,7] => [6,4,3,5,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,14),(4,14),(5,12),(6,8),(7,13),(7,15),(9,11),(10,11),(11,8),(12,10),(13,9),(14,16),(15,9),(15,10),(16,12),(16,15)],17)

[[.,[.,[[[.,.],.],[.,.]]]],.] => [3,4,6,5,2,1,7] => [6,3,4,5,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,13),(7,17),(9,11),(10,11),(11,8),(12,10),(13,9),(14,16),(15,16),(16,12),(16,17),(17,9),(17,10)],18)

[[.,[.,[[.,[.,[.,.]]],.]]],.] => [5,4,3,6,2,1,7] => [5,4,3,6,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,11),(7,13),(9,12),(10,8),(11,10),(12,11),(13,10),(14,9),(15,9)],16)

[[.,[.,[[.,[[.,.],.]],.]]],.] => [4,5,3,6,2,1,7] => [4,5,3,6,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,13),(5,11),(6,12),(7,8),(7,10),(8,14),(9,13),(10,14),(12,10),(13,12),(14,11)],15)

[[.,[.,[[[.,.],[.,.]],.]]],.] => [3,5,4,6,2,1,7] => [5,3,4,6,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,13),(5,11),(6,12),(7,8),(7,10),(8,14),(9,13),(10,14),(12,10),(13,12),(14,11)],15)

[[.,[.,[[[.,[.,.]],.],.]]],.] => [4,3,5,6,2,1,7] => [4,3,5,6,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,13),(4,14),(5,8),(6,12),(6,13),(7,11),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,10),(15,12)],16)

[[.,[.,[[[[.,.],.],.],.]]],.] => [3,4,5,6,2,1,7] => [3,4,5,6,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,16),(4,8),(5,13),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,12),(17,10),(17,11)],18)

[[.,[[.,.],[.,[.,[.,.]]]]],.] => [2,6,5,4,3,1,7] => [6,5,4,2,3,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,19),(3,19),(4,14),(5,8),(6,17),(6,18),(7,15),(7,18),(9,11),(10,12),(11,13),(12,13),(13,8),(14,10),(15,9),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,14),(19,17)],20)

[[.,[[.,.],[.,[[.,.],.]]]],.] => [2,5,6,4,3,1,7] => [5,6,2,4,3,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,12),(11,14),(12,11),(12,13),(13,14),(14,10)],15)

[[.,[[.,.],[[.,.],[.,.]]]],.] => [2,4,6,5,3,1,7] => [6,4,2,5,3,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,12),(6,9),(7,8),(8,11),(9,11),(11,10),(12,8),(12,9)],13)

[[.,[[.,.],[[.,[.,.]],.]]],.] => [2,5,4,6,3,1,7] => [5,4,2,6,3,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[[.,[[.,.],[[[.,.],.],.]]],.] => [2,4,5,6,3,1,7] => [4,2,5,6,3,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[[.,[[.,[.,.]],[.,[.,.]]]],.] => [3,2,6,5,4,1,7] => [6,5,3,2,4,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,14),(4,14),(5,12),(6,8),(7,13),(7,15),(9,11),(10,11),(11,8),(12,10),(13,9),(14,16),(15,9),(15,10),(16,12),(16,15)],17)

[[.,[[.,[.,.]],[[.,.],.]]],.] => [3,2,5,6,4,1,7] => [5,3,2,6,4,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[[.,[[[.,.],.],[.,[.,.]]]],.] => [2,3,6,5,4,1,7] => [6,5,2,3,4,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,13),(7,17),(9,11),(10,11),(11,8),(12,10),(13,9),(14,16),(15,16),(16,12),(16,17),(17,9),(17,10)],18)

[[.,[[[.,.],.],[[.,.],.]]],.] => [2,3,5,6,4,1,7] => [5,2,3,6,4,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[[.,[[.,[.,[.,.]]],[.,.]]],.] => [4,3,2,6,5,1,7] => [6,4,3,2,5,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,14),(4,13),(5,15),(6,8),(7,13),(7,14),(9,15),(10,8),(11,10),(12,10),(13,9),(14,9),(15,11),(15,12)],16)

[[.,[[.,[[.,.],.]],[.,.]]],.] => [3,4,2,6,5,1,7] => [6,3,4,2,5,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,9),(5,11),(6,13),(7,12),(8,12),(9,14),(10,14),(12,13),(13,9),(13,10),(14,11)],15)

[[.,[[[.,.],[.,.]],[.,.]]],.] => [2,4,3,6,5,1,7] => [6,4,2,3,5,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,9),(5,11),(6,13),(7,12),(8,12),(9,14),(10,14),(12,13),(13,9),(13,10),(14,11)],15)

[[.,[[[.,[.,.]],.],[.,.]]],.] => [3,2,4,6,5,1,7] => [6,3,2,4,5,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,13),(4,14),(5,14),(6,8),(7,10),(7,13),(9,8),(10,15),(11,9),(12,9),(13,15),(14,10),(15,11),(15,12)],16)

[[.,[[[[.,.],.],.],[.,.]]],.] => [2,3,4,6,5,1,7] => [6,2,3,4,5,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,8),(6,14),(6,17),(7,15),(7,17),(9,16),(10,16),(11,8),(12,11),(13,11),(14,9),(15,10),(16,12),(16,13),(17,9),(17,10)],18)

[[.,[[.,[.,[.,[.,.]]]],.]],.] => [5,4,3,2,6,1,7] => [5,4,3,2,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,13),(3,15),(4,14),(5,8),(6,14),(6,16),(7,15),(7,16),(9,12),(10,9),(11,9),(12,13),(13,8),(14,10),(15,11),(16,10),(16,11)],17)

[[.,[[.,[.,[[.,.],.]]],.]],.] => [4,5,3,2,6,1,7] => [4,5,3,2,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,11),(11,14),(12,10),(13,12),(14,13)],15)

[[.,[[.,[[.,.],[.,.]]],.]],.] => [3,5,4,2,6,1,7] => [5,3,4,2,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,10),(5,13),(6,9),(7,12),(8,10),(8,11),(10,14),(11,14),(12,9),(13,12),(14,13)],15)

[[.,[[.,[[.,[.,.]],.]],.]],.] => [4,3,5,2,6,1,7] => [4,3,5,2,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[[.,[[.,[[[.,.],.],.]],.]],.] => [3,4,5,2,6,1,7] => [3,4,5,2,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15)

[[.,[[[.,.],[.,[.,.]]],.]],.] => [2,5,4,3,6,1,7] => [5,4,2,3,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,11),(11,14),(12,10),(13,12),(14,13)],15)

[[.,[[[.,.],[[.,.],.]],.]],.] => [2,4,5,3,6,1,7] => [4,2,5,3,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,11),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(10,9),(11,8)],12)

[[.,[[[.,[.,.]],[.,.]],.]],.] => [3,2,5,4,6,1,7] => [5,3,2,4,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[[.,[[[[.,.],.],[.,.]],.]],.] => [2,3,5,4,6,1,7] => [5,2,3,4,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15)

[[.,[[[.,[.,[.,.]]],.],.]],.] => [4,3,2,5,6,1,7] => [4,3,2,5,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,8),(6,13),(6,14),(7,11),(7,15),(9,11),(10,12),(11,10),(12,8),(13,9),(14,9),(15,10)],16)

[[.,[[[.,[[.,.],.]],.],.]],.] => [3,4,2,5,6,1,7] => [3,4,2,5,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15)

[[.,[[[[.,.],[.,.]],.],.]],.] => [2,4,3,5,6,1,7] => [4,2,3,5,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15)

[[.,[[[[.,[.,.]],.],.],.]],.] => [3,2,4,5,6,1,7] => [3,2,4,5,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,12),(16,10),(16,11)],17)

[[.,[[[[[.,.],.],.],.],.]],.] => [2,3,4,5,6,1,7] => [2,3,4,5,6,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,16),(3,15),(4,8),(5,15),(5,18),(6,16),(6,19),(7,18),(7,19),(9,11),(10,11),(11,14),(12,9),(13,10),(14,8),(15,12),(16,13),(17,9),(17,10),(18,12),(18,17),(19,13),(19,17)],20)

[[[.,.],[.,[.,[.,[.,.]]]]],.] => [1,6,5,4,3,2,7] => [6,5,4,3,1,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,8),(5,14),(5,19),(6,15),(6,18),(7,18),(7,19),(9,13),(10,13),(11,10),(12,9),(13,8),(14,11),(15,12),(16,14),(17,9),(17,10),(18,12),(18,17),(19,11),(19,17)],20)

[[[.,.],[.,[.,[[.,.],.]]]],.] => [1,5,6,4,3,2,7] => [5,6,4,1,3,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,11),(6,13),(7,10),(7,12),(8,12),(9,13),(10,14),(12,14),(13,10),(14,11)],15)

[[[.,.],[.,[[.,.],[.,.]]]],.] => [1,4,6,5,3,2,7] => [6,4,5,1,3,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,11),(6,12),(7,10),(8,12),(9,11),(9,13),(11,14),(12,13),(13,14),(14,10)],15)

[[[.,.],[.,[[.,[.,.]],.]]],.] => [1,5,4,6,3,2,7] => [5,4,6,1,3,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,12),(6,11),(7,10),(8,11),(9,12),(11,13),(12,13),(13,10)],14)

[[[.,.],[.,[[[.,.],.],.]]],.] => [1,4,5,6,3,2,7] => [4,5,1,6,3,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[[[.,.],[[.,.],[.,[.,.]]]],.] => [1,3,6,5,4,2,7] => [6,5,3,1,4,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,12),(3,12),(4,12),(5,12),(6,8),(7,8),(7,9),(8,11),(9,11),(11,10),(12,9)],13)

[[[.,.],[[.,.],[[.,.],.]]],.] => [1,3,5,6,4,2,7] => [5,3,1,6,4,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)

[[[.,.],[[.,[.,.]],[.,.]]],.] => [1,4,3,6,5,2,7] => [6,4,3,1,5,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[[[.,.],[[[.,.],.],[.,.]]],.] => [1,3,4,6,5,2,7] => [6,3,1,4,5,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[[[.,.],[[.,[.,[.,.]]],.]],.] => [1,5,4,3,6,2,7] => [5,4,3,1,6,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)

[[[.,.],[[.,[[.,.],.]],.]],.] => [1,4,5,3,6,2,7] => [4,5,1,3,6,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)

[[[.,.],[[[.,.],[.,.]],.]],.] => [1,3,5,4,6,2,7] => [5,3,1,4,6,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)

[[[.,.],[[[.,[.,.]],.],.]],.] => [1,4,3,5,6,2,7] => [4,3,1,5,6,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[[[.,.],[[[[.,.],.],.],.]],.] => [1,3,4,5,6,2,7] => [3,1,4,5,6,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)

[[[.,[.,.]],[.,[.,[.,.]]]],.] => [2,1,6,5,4,3,7] => [6,5,4,2,1,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,10),(13,12),(14,9),(15,13),(16,9),(16,10)],17)

[[[.,[.,.]],[.,[[.,.],.]]],.] => [2,1,5,6,4,3,7] => [5,6,2,1,4,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,13),(9,12),(10,12),(12,13),(13,11)],14)

[[[.,[.,.]],[[.,.],[.,.]]],.] => [2,1,4,6,5,3,7] => [6,4,2,1,5,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[[[.,[.,.]],[[.,[.,.]],.]],.] => [2,1,5,4,6,3,7] => [5,4,2,1,6,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[[[.,[.,.]],[[[.,.],.],.]],.] => [2,1,4,5,6,3,7] => [4,2,1,5,6,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[[[[.,.],.],[.,[.,[.,.]]]],.] => [1,2,6,5,4,3,7] => [6,5,4,1,2,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,8),(5,15),(5,16),(6,13),(6,17),(7,14),(7,17),(9,13),(10,12),(11,12),(12,8),(13,10),(14,11),(15,9),(16,9),(17,10),(17,11)],18)

[[[[.,.],.],[.,[[.,.],.]]],.] => [1,2,5,6,4,3,7] => [5,6,1,2,4,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,8),(3,9),(4,9),(5,10),(6,10),(7,8),(7,11),(8,14),(9,13),(10,11),(11,14),(13,12),(14,13)],15)

[[[[.,.],.],[[.,.],[.,.]]],.] => [1,2,4,6,5,3,7] => [6,4,1,2,5,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,11),(9,10),(11,9)],12)

[[[[.,.],.],[[.,[.,.]],.]],.] => [1,2,5,4,6,3,7] => [5,4,1,2,6,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[[[[.,.],.],[[[.,.],.],.]],.] => [1,2,4,5,6,3,7] => [4,1,2,5,6,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)

[[[.,[.,[.,.]]],[.,[.,.]]],.] => [3,2,1,6,5,4,7] => [6,5,3,2,1,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,13),(4,12),(5,8),(6,14),(6,15),(7,11),(7,13),(9,12),(10,8),(11,10),(12,11),(13,10),(14,9),(15,9)],16)

[[[.,[.,[.,.]]],[[.,.],.]],.] => [3,2,1,5,6,4,7] => [5,3,2,1,6,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)

[[[.,[[.,.],.]],[.,[.,.]]],.] => [2,3,1,6,5,4,7] => [6,5,2,3,1,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,13),(5,11),(6,12),(7,8),(7,10),(8,14),(9,13),(10,14),(12,10),(13,12),(14,11)],15)

[[[.,[[.,.],.]],[[.,.],.]],.] => [2,3,1,5,6,4,7] => [5,2,3,1,6,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12)

[[[[.,.],[.,.]],[.,[.,.]]],.] => [1,3,2,6,5,4,7] => [6,5,3,1,2,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,13),(5,11),(6,12),(7,8),(7,10),(8,14),(9,13),(10,14),(12,10),(13,12),(14,11)],15)

[[[[.,.],[.,.]],[[.,.],.]],.] => [1,3,2,5,6,4,7] => [5,3,1,2,6,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12)

[[[[.,[.,.]],.],[.,[.,.]]],.] => [2,1,3,6,5,4,7] => [6,5,2,1,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,13),(4,14),(5,8),(6,12),(6,13),(7,11),(7,14),(9,11),(10,8),(11,10),(12,9),(13,9),(14,10),(15,12)],16)

[[[[.,[.,.]],.],[[.,.],.]],.] => [2,1,3,5,6,4,7] => [5,2,1,3,6,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,11),(4,11),(5,8),(6,8),(7,9),(8,10),(10,11),(11,9)],12)

[[[[[.,.],.],.],[.,[.,.]]],.] => [1,2,3,6,5,4,7] => [6,5,1,2,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,14),(3,16),(4,8),(5,13),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,12),(17,10),(17,11)],18)

[[[[[.,.],.],.],[[.,.],.]],.] => [1,2,3,5,6,4,7] => [5,1,2,3,6,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)

[[[.,[.,[.,[.,.]]]],[.,.]],.] => [4,3,2,1,6,5,7] => [6,4,3,2,1,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,13),(3,15),(4,14),(5,8),(6,14),(6,16),(7,15),(7,16),(9,12),(10,9),(11,9),(12,13),(13,8),(14,10),(15,11),(16,10),(16,11)],17)

[[[.,[.,[[.,.],.]]],[.,.]],.] => [3,4,2,1,6,5,7] => [6,3,4,2,1,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,11),(11,14),(12,10),(13,12),(14,13)],15)

[[[.,[[.,.],[.,.]]],[.,.]],.] => [2,4,3,1,6,5,7] => [6,4,2,3,1,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,10),(5,13),(6,9),(7,12),(8,10),(8,11),(10,14),(11,14),(12,9),(13,12),(14,13)],15)

[[[.,[[.,[.,.]],.]],[.,.]],.] => [3,2,4,1,6,5,7] => [6,3,2,4,1,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[[[.,[[[.,.],.],.]],[.,.]],.] => [2,3,4,1,6,5,7] => [6,2,3,4,1,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15)

[[[[.,.],[.,[.,.]]],[.,.]],.] => [1,4,3,2,6,5,7] => [6,4,3,1,2,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,11),(11,14),(12,10),(13,12),(14,13)],15)

[[[[.,.],[[.,.],.]],[.,.]],.] => [1,3,4,2,6,5,7] => [6,3,1,4,2,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,11),(3,11),(4,11),(5,11),(6,9),(7,10),(8,10),(10,9),(11,8)],12)

[[[[.,[.,.]],[.,.]],[.,.]],.] => [2,1,4,3,6,5,7] => [6,4,2,1,3,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)

[[[[[.,.],.],[.,.]],[.,.]],.] => [1,2,4,3,6,5,7] => [6,4,1,2,3,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,8),(3,9),(4,11),(5,12),(6,13),(7,10),(8,14),(9,14),(11,12),(12,10),(13,11),(14,13)],15)

[[[[.,[.,[.,.]]],.],[.,.]],.] => [3,2,1,4,6,5,7] => [6,3,2,1,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,8),(6,13),(6,14),(7,11),(7,15),(9,11),(10,12),(11,10),(12,8),(13,9),(14,9),(15,10)],16)

[[[[.,[[.,.],.]],.],[.,.]],.] => [2,3,1,4,6,5,7] => [6,2,3,1,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15)

[[[[[.,.],[.,.]],.],[.,.]],.] => [1,3,2,4,6,5,7] => [6,3,1,2,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,10),(5,13),(6,12),(7,8),(7,11),(8,14),(9,12),(11,14),(12,11),(13,10),(14,13)],15)

[[[[[.,[.,.]],.],.],[.,.]],.] => [2,1,3,4,6,5,7] => [6,2,1,3,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(6,14),(6,16),(7,12),(7,16),(9,13),(10,9),(11,9),(12,11),(13,8),(14,10),(15,12),(16,10),(16,11)],17)

[[[[[[.,.],.],.],.],[.,.]],.] => [1,2,3,4,6,5,7] => [6,1,2,3,4,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,16),(3,15),(4,8),(5,15),(5,18),(6,16),(6,19),(7,18),(7,19),(9,11),(10,11),(11,14),(12,9),(13,10),(14,8),(15,12),(16,13),(17,9),(17,10),(18,12),(18,17),(19,13),(19,17)],20)

[[[.,[.,[.,[.,[.,.]]]]],.],.] => [5,4,3,2,1,6,7] => [5,4,3,2,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,16),(3,15),(4,14),(4,17),(5,15),(5,19),(6,16),(6,20),(7,19),(7,20),(9,14),(10,9),(11,9),(12,10),(13,11),(14,8),(15,12),(16,13),(17,8),(18,10),(18,11),(19,12),(19,18),(20,13),(20,18)],21)

[[[.,[.,[.,[[.,.],.]]]],.],.] => [4,5,3,2,1,6,7] => [4,5,3,2,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,13),(5,15),(6,12),(6,17),(7,14),(7,17),(9,13),(10,9),(11,9),(12,10),(13,8),(14,11),(15,8),(16,12),(17,10),(17,11)],18)

[[[.,[.,[[.,.],[.,.]]]],.],.] => [3,5,4,2,1,6,7] => [5,3,4,2,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,13),(3,17),(4,17),(5,14),(6,12),(6,15),(7,14),(7,16),(9,12),(10,9),(11,9),(12,8),(13,10),(14,11),(15,8),(16,10),(16,11),(17,13),(17,16)],18)

[[[.,[.,[[.,[.,.]],.]]],.],.] => [4,3,5,2,1,6,7] => [4,3,5,2,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,11),(10,9),(11,8),(12,10),(13,9),(14,8),(15,12)],16)

[[[.,[.,[[[.,.],.],.]]],.],.] => [3,4,5,2,1,6,7] => [3,4,5,2,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,13),(5,12),(5,16),(6,11),(6,13),(7,14),(7,15),(9,12),(10,11),(11,9),(12,8),(13,9),(14,10),(15,10),(16,8)],17)

[[[.,[[.,.],[.,[.,.]]]],.],.] => [2,5,4,3,1,6,7] => [5,4,2,3,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,13),(3,17),(4,17),(5,14),(6,12),(6,15),(7,14),(7,16),(9,12),(10,9),(11,9),(12,8),(13,10),(14,11),(15,8),(16,10),(16,11),(17,13),(17,16)],18)

[[[.,[[.,.],[[.,.],.]]],.],.] => [2,4,5,3,1,6,7] => [4,2,5,3,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,9),(7,8),(7,10),(8,11),(9,10),(10,11),(12,9)],13)

[[[.,[[.,[.,.]],[.,.]]],.],.] => [3,2,5,4,1,6,7] => [5,3,2,4,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,13),(4,14),(5,14),(6,15),(7,10),(7,13),(9,10),(10,8),(11,9),(12,9),(13,8),(14,15),(15,11),(15,12)],16)

[[[.,[[[.,.],.],[.,.]]],.],.] => [2,3,5,4,1,6,7] => [5,2,3,4,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,11),(6,13),(6,14),(7,10),(7,15),(9,10),(10,8),(11,9),(12,9),(13,16),(14,16),(15,8),(16,11),(16,12)],17)

[[[.,[[.,[.,[.,.]]],.]],.],.] => [4,3,2,5,1,6,7] => [4,3,2,5,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,12),(4,15),(5,11),(6,13),(6,14),(7,10),(7,15),(9,12),(10,8),(11,10),(12,11),(13,9),(14,9),(15,8)],16)

[[[.,[[.,[[.,.],.]],.]],.],.] => [3,4,2,5,1,6,7] => [3,4,2,5,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15)

[[[.,[[[.,.],[.,.]],.]],.],.] => [2,4,3,5,1,6,7] => [4,2,3,5,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15)

[[[.,[[[.,[.,.]],.],.]],.],.] => [3,2,4,5,1,6,7] => [3,2,4,5,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,12),(10,9),(11,8),(12,11),(13,9),(14,8),(15,10)],16)

[[[.,[[[[.,.],.],.],.]],.],.] => [2,3,4,5,1,6,7] => [2,3,4,5,1,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,15),(4,14),(5,12),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,8),(17,10),(17,11)],18)

[[[[.,.],[.,[.,[.,.]]]],.],.] => [1,5,4,3,2,6,7] => [5,4,3,1,2,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,13),(5,15),(6,12),(6,17),(7,14),(7,17),(9,13),(10,9),(11,9),(12,10),(13,8),(14,11),(15,8),(16,12),(17,10),(17,11)],18)

[[[[.,.],[.,[[.,.],.]]],.],.] => [1,4,5,3,2,6,7] => [4,5,1,3,2,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,8),(3,8),(4,9),(5,10),(6,10),(7,9),(7,12),(8,14),(9,13),(10,11),(11,14),(12,13),(14,12)],15)

[[[[.,.],[[.,.],[.,.]]],.],.] => [1,3,5,4,2,6,7] => [5,3,1,4,2,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,9),(7,8),(7,10),(8,11),(9,10),(10,11),(12,9)],13)

[[[[.,.],[[.,[.,.]],.]],.],.] => [1,4,3,5,2,6,7] => [4,3,1,5,2,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)

[[[[.,.],[[[.,.],.],.]],.],.] => [1,3,4,5,2,6,7] => [3,1,4,5,2,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)

[[[[.,[.,.]],[.,[.,.]]],.],.] => [2,1,5,4,3,6,7] => [5,4,2,1,3,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,11),(10,9),(11,8),(12,10),(13,9),(14,8),(15,12)],16)

[[[[.,[.,.]],[[.,.],.]],.],.] => [2,1,4,5,3,6,7] => [4,2,1,5,3,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)

[[[[[.,.],.],[.,[.,.]]],.],.] => [1,2,5,4,3,6,7] => [5,4,1,2,3,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,13),(5,12),(5,16),(6,11),(6,13),(7,14),(7,15),(9,12),(10,11),(11,9),(12,8),(13,9),(14,10),(15,10),(16,8)],17)

[[[[[.,.],.],[[.,.],.]],.],.] => [1,2,4,5,3,6,7] => [4,1,2,5,3,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)

[[[[.,[.,[.,.]]],[.,.]],.],.] => [3,2,1,5,4,6,7] => [5,3,2,1,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,12),(4,15),(5,11),(6,13),(6,14),(7,10),(7,15),(9,12),(10,8),(11,10),(12,11),(13,9),(14,9),(15,8)],16)

[[[[.,[[.,.],.]],[.,.]],.],.] => [2,3,1,5,4,6,7] => [5,2,3,1,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15)

[[[[[.,.],[.,.]],[.,.]],.],.] => [1,3,2,5,4,6,7] => [5,3,1,2,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,11),(5,12),(6,13),(7,8),(7,10),(8,14),(9,13),(10,14),(11,12),(12,10),(13,11)],15)

[[[[[.,[.,.]],.],[.,.]],.],.] => [2,1,3,5,4,6,7] => [5,2,1,3,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,12),(3,15),(4,15),(5,13),(6,11),(6,14),(7,10),(7,13),(9,12),(10,9),(11,8),(12,11),(13,9),(14,8),(15,10)],16)

[[[[[[.,.],.],.],[.,.]],.],.] => [1,2,3,5,4,6,7] => [5,1,2,3,4,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,15),(4,14),(5,12),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,8),(17,10),(17,11)],18)

[[[[.,[.,[.,[.,.]]]],.],.],.] => [4,3,2,1,5,6,7] => [4,3,2,1,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,17),(4,14),(4,19),(5,15),(5,18),(6,16),(6,18),(7,17),(7,19),(9,14),(10,9),(11,9),(12,8),(13,8),(14,12),(15,10),(16,11),(17,13),(18,10),(18,11),(19,12),(19,13)],20)

[[[[.,[.,[[.,.],.]]],.],.],.] => [3,4,2,1,5,6,7] => [3,4,2,1,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,15),(5,13),(5,15),(6,12),(6,17),(7,14),(7,17),(9,12),(10,8),(11,8),(12,10),(13,9),(14,11),(15,9),(16,13),(17,10),(17,11)],18)

[[[[.,[[.,.],[.,.]]],.],.],.] => [2,4,3,1,5,6,7] => [4,2,3,1,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,17),(3,17),(4,14),(5,13),(6,15),(6,16),(7,12),(7,16),(9,12),(10,8),(11,8),(12,11),(13,9),(14,9),(15,10),(16,10),(16,11),(17,13),(17,14)],18)

[[[[.,[[.,[.,.]],.]],.],.],.] => [3,2,4,1,5,6,7] => [3,2,4,1,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,15),(4,15),(5,12),(6,14),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,13),(13,11),(14,9),(15,12),(16,9),(16,10)],17)

[[[[.,[[[.,.],.],.]],.],.],.] => [2,3,4,1,5,6,7] => [2,3,4,1,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,15),(4,14),(5,15),(5,16),(6,12),(6,17),(7,14),(7,17),(9,13),(10,8),(11,8),(12,10),(13,12),(14,11),(15,9),(16,9),(17,10),(17,11)],18)

[[[[[.,.],[.,[.,.]]],.],.],.] => [1,4,3,2,5,6,7] => [4,3,1,2,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,15),(5,13),(5,15),(6,12),(6,17),(7,14),(7,17),(9,12),(10,8),(11,8),(12,10),(13,9),(14,11),(15,9),(16,13),(17,10),(17,11)],18)

[[[[[.,.],[[.,.],.]],.],.],.] => [1,3,4,2,5,6,7] => [3,1,4,2,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,8),(6,8),(6,9),(7,9),(7,10),(8,11),(9,11),(9,12),(10,12),(11,13),(12,13),(14,10)],15)

[[[[[.,[.,.]],[.,.]],.],.],.] => [2,1,4,3,5,6,7] => [4,2,1,3,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,14),(3,15),(4,15),(5,12),(6,14),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,13),(13,11),(14,9),(15,12),(16,9),(16,10)],17)

[[[[[[.,.],.],[.,.]],.],.],.] => [1,2,4,3,5,6,7] => [4,1,2,3,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,15),(4,14),(5,15),(5,16),(6,12),(6,17),(7,14),(7,17),(9,13),(10,8),(11,8),(12,10),(13,12),(14,11),(15,9),(16,9),(17,10),(17,11)],18)

[[[[[.,[.,[.,.]]],.],.],.],.] => [3,2,1,4,5,6,7] => [3,2,1,4,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,16),(3,15),(4,16),(4,17),(5,14),(5,19),(6,15),(6,20),(7,19),(7,20),(9,14),(10,12),(11,13),(12,8),(13,8),(14,10),(15,11),(16,9),(17,9),(18,12),(18,13),(19,10),(19,18),(20,11),(20,18)],21)

[[[[[.,[[.,.],.]],.],.],.],.] => [2,3,1,4,5,6,7] => [2,3,1,4,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,15),(5,18),(6,13),(6,19),(7,18),(7,19),(9,11),(10,12),(11,8),(12,8),(13,10),(14,13),(15,9),(16,14),(17,11),(17,12),(18,9),(18,17),(19,10),(19,17)],20)

[[[[[[.,.],[.,.]],.],.],.],.] => [1,3,2,4,5,6,7] => [3,1,2,4,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,15),(5,18),(6,13),(6,19),(7,18),(7,19),(9,11),(10,12),(11,8),(12,8),(13,10),(14,13),(15,9),(16,14),(17,11),(17,12),(18,9),(18,17),(19,10),(19,17)],20)

[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]] => [5,7,6,8,4,3,2,1] => [7,5,6,8,4,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,17),(3,18),(4,18),(5,15),(6,17),(6,20),(7,14),(7,21),(8,20),(8,21),(10,12),(11,13),(12,9),(13,9),(14,11),(15,16),(16,14),(17,10),(18,15),(19,12),(19,13),(20,10),(20,19),(21,11),(21,19)],22)

[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]] => [4,6,8,7,5,3,2,1] => [8,6,4,7,5,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,19),(4,19),(5,14),(6,15),(7,14),(7,17),(8,17),(8,18),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,12),(16,13),(17,10),(17,16),(18,11),(18,16),(19,15),(19,18)],20)

[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]] => [7,6,5,4,8,3,2,1] => [7,6,5,4,8,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,18),(3,17),(4,19),(5,15),(5,21),(6,17),(6,20),(7,18),(7,20),(8,19),(8,21),(10,16),(11,10),(12,10),(13,9),(14,9),(15,13),(16,15),(17,11),(18,12),(19,14),(20,11),(20,12),(21,13),(21,14)],22)

[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]] => [6,5,7,4,8,3,2,1] => [6,5,7,4,8,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,15),(4,16),(5,17),(6,17),(7,16),(7,18),(8,12),(8,18),(10,9),(11,9),(12,11),(13,14),(14,12),(15,13),(16,10),(17,15),(18,10),(18,11)],19)

[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]] => [4,7,6,5,8,3,2,1] => [7,6,4,5,8,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,16),(5,17),(6,14),(6,17),(7,13),(7,19),(8,16),(8,19),(10,15),(11,9),(12,9),(13,11),(14,10),(15,13),(16,12),(17,10),(18,14),(19,11),(19,12)],20)

[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]] => [5,4,7,6,8,3,2,1] => [7,5,4,6,8,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,15),(4,16),(5,17),(6,17),(7,16),(7,18),(8,12),(8,18),(10,9),(11,9),(12,11),(13,14),(14,12),(15,13),(16,10),(17,15),(18,10),(18,11)],19)

[.,[.,[.,[[[[.,.],.],[.,.]],.]]]] => [4,5,7,6,8,3,2,1] => [7,4,5,6,8,3,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,15),(4,18),(5,14),(6,16),(6,17),(7,18),(7,19),(8,13),(8,19),(10,14),(11,9),(12,9),(13,12),(14,15),(15,13),(16,10),(17,10),(18,11),(19,11),(19,12)],20)

[.,[.,[[.,[[[.,.],[.,.]],.]],.]]] => [4,6,5,7,3,8,2,1] => [6,4,5,7,3,8,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,12),(5,13),(6,14),(7,15),(8,9),(8,11),(9,16),(10,15),(11,16),(12,14),(13,12),(14,11),(15,13)],17)

[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]] => [3,7,6,5,4,8,2,1] => [7,6,5,3,4,8,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,15),(3,18),(4,18),(5,16),(6,14),(6,17),(7,13),(7,19),(8,16),(8,19),(10,15),(11,10),(12,10),(13,11),(14,9),(15,14),(16,12),(17,9),(18,13),(19,11),(19,12)],20)

[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]] => [4,3,7,6,5,8,2,1] => [7,6,4,3,5,8,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,16),(4,15),(5,17),(6,17),(7,12),(7,16),(8,11),(8,15),(10,13),(11,10),(12,9),(13,12),(14,11),(15,10),(16,9),(17,14)],18)

[.,[.,[[[[.,.],.],[.,[.,.]]],.]]] => [3,4,7,6,5,8,2,1] => [7,6,3,4,5,8,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,17),(4,18),(5,14),(6,15),(6,16),(7,13),(7,18),(8,12),(8,17),(10,12),(11,14),(12,11),(13,9),(14,13),(15,10),(16,10),(17,11),(18,9)],19)

[.,[.,[[[[[.,.],.],[.,.]],.],.]]] => [3,4,6,5,7,8,2,1] => [6,3,4,5,7,8,2,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,17),(4,18),(5,14),(6,15),(6,16),(7,13),(7,18),(8,12),(8,17),(10,14),(11,13),(12,11),(13,9),(14,12),(15,10),(16,10),(17,11),(18,9)],19)

[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]] => [2,7,6,8,5,4,3,1] => [7,6,8,5,2,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,18),(4,15),(5,15),(6,13),(7,14),(8,12),(8,17),(10,9),(11,9),(12,10),(13,12),(14,11),(15,18),(16,13),(17,10),(17,11),(18,14),(18,17)],19)

[.,[[.,.],[.,[[[[.,.],.],.],.]]]] => [2,5,6,7,8,4,3,1] => [5,6,2,7,8,4,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,11),(3,11),(4,10),(5,10),(6,9),(7,9),(8,12),(9,13),(10,13),(11,13),(13,12)],14)

[.,[[.,.],[[.,.],[.,[[.,.],.]]]]] => [2,4,7,8,6,5,3,1] => [7,8,4,2,6,5,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,14),(4,9),(5,9),(6,10),(7,10),(8,11),(9,12),(10,14),(11,13),(12,13),(14,11),(14,12)],15)

[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]] => [2,6,5,4,8,7,3,1] => [8,6,5,4,2,7,3,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,15),(4,10),(5,9),(6,12),(7,11),(8,9),(8,10),(9,14),(10,14),(11,13),(12,13),(14,15),(15,11),(15,12)],16)

[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]] => [6,5,7,4,3,2,8,1] => [6,5,7,4,3,2,8,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,16),(3,17),(4,17),(5,14),(6,9),(7,16),(7,18),(8,13),(8,18),(10,15),(11,10),(12,10),(13,12),(14,13),(15,9),(16,11),(17,14),(18,11),(18,12)],19)

[.,[[.,[[.,.],[[.,.],[.,.]]]],.]] => [3,5,7,6,4,2,8,1] => [7,5,3,6,4,2,8,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,11),(3,14),(4,14),(5,14),(6,14),(7,10),(8,9),(9,13),(10,13),(11,12),(13,11),(14,9),(14,10)],15)

[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]] => [6,5,4,3,7,2,8,1] => [6,5,4,3,7,2,8,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,15),(4,17),(5,16),(6,9),(7,16),(7,18),(8,17),(8,18),(10,13),(11,10),(12,10),(13,14),(14,15),(15,9),(16,11),(17,12),(18,11),(18,12)],19)

[.,[[.,[[.,[[.,[.,.]],.]],.]],.]] => [5,4,6,3,7,2,8,1] => [5,4,6,3,7,2,8,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,11),(4,12),(5,13),(6,14),(7,15),(8,10),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16)

[.,[[.,[[[.,.],[.,[.,.]]],.]],.]] => [3,6,5,4,7,2,8,1] => [6,5,3,4,7,2,8,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,13),(5,14),(6,15),(7,11),(8,9),(8,12),(9,16),(10,12),(12,16),(13,14),(14,11),(15,13),(16,15)],17)

[.,[[.,[[[.,.],[[.,.],.]],.]],.]] => [3,5,6,4,7,2,8,1] => [5,3,6,4,7,2,8,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,13),(3,13),(4,13),(5,13),(6,11),(7,12),(8,10),(9,12),(11,10),(12,11),(13,9)],14)

[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]] => [2,7,6,5,4,3,8,1] => [7,6,5,4,2,3,8,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,12),(11,12),(12,16),(13,11),(14,10),(15,14),(16,9),(17,13),(18,15),(19,10),(19,11),(20,14),(20,19),(21,13),(21,19)],22)

[.,[[[[.,.],.],[.,[.,[.,.]]]],.]] => [2,3,7,6,5,4,8,1] => [7,6,5,2,3,4,8,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,17),(4,16),(5,9),(6,17),(6,18),(7,14),(7,19),(8,16),(8,19),(10,15),(11,14),(12,10),(13,10),(14,12),(15,9),(16,13),(17,11),(18,11),(19,12),(19,13)],20)

[.,[[[[.,[[[.,.],.],.]],.],.],.]] => [3,4,5,2,6,7,8,1] => [3,4,5,2,6,7,8,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,17),(4,16),(5,9),(6,17),(6,18),(7,14),(7,19),(8,16),(8,19),(10,15),(11,13),(12,13),(13,9),(14,11),(15,14),(16,12),(17,10),(18,10),(19,11),(19,12)],20)

[.,[[[[[[.,.],.],[.,.]],.],.],.]] => [2,3,5,4,6,7,8,1] => [5,2,3,4,6,7,8,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,17),(4,16),(5,9),(6,17),(6,18),(7,14),(7,19),(8,16),(8,19),(10,15),(11,13),(12,13),(13,9),(14,11),(15,14),(16,12),(17,10),(18,10),(19,11),(19,12)],20)

[.,[[[[[.,[[.,.],.]],.],.],.],.]] => [3,4,2,5,6,7,8,1] => [3,4,2,5,6,7,8,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,14),(11,14),(12,11),(13,10),(14,9),(15,13),(16,15),(17,12),(18,16),(19,10),(19,11),(20,13),(20,19),(21,12),(21,19)],22)

[.,[[[[[[.,.],[.,.]],.],.],.],.]] => [2,4,3,5,6,7,8,1] => [4,2,3,5,6,7,8,1] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,14),(11,14),(12,11),(13,10),(14,9),(15,13),(16,15),(17,12),(18,16),(19,10),(19,11),(20,13),(20,19),(21,12),(21,19)],22)

[[.,.],[.,[.,[[.,.],[[.,.],.]]]]] => [1,5,7,8,6,4,3,2] => [7,5,8,6,1,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,14),(3,14),(4,14),(5,14),(6,10),(7,9),(8,9),(8,10),(9,13),(10,13),(11,12),(13,11),(14,12)],15)

[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]] => [1,6,5,8,7,4,3,2] => [8,6,5,7,4,1,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,18),(4,15),(5,15),(6,13),(7,14),(8,12),(8,17),(10,9),(11,9),(12,10),(13,12),(14,11),(15,18),(16,13),(17,10),(17,11),(18,14),(18,17)],19)

[[.,.],[.,[.,[[[[.,.],.],.],.]]]] => [1,5,6,7,8,4,3,2] => [5,6,7,1,8,4,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,10),(4,9),(5,12),(6,11),(7,11),(7,12),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,15),(14,15)],16)

[[.,.],[.,[[.,[.,.]],[[.,.],.]]]] => [1,5,4,7,8,6,3,2] => [7,5,4,8,1,6,3,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)

[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]] => [1,3,8,7,6,5,4,2] => [8,7,6,5,3,1,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,19),(4,19),(5,14),(6,14),(6,17),(7,15),(7,18),(8,17),(8,18),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,12),(16,13),(17,10),(17,16),(18,11),(18,16),(19,15)],20)

[[.,.],[[.,.],[[.,.],[[.,.],.]]]] => [1,3,5,7,8,6,4,2] => [7,5,3,1,8,6,4,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)

[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]] => [1,6,5,4,3,8,7,2] => [8,6,5,4,3,1,7,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,16),(4,10),(5,9),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(13,15),(14,15),(15,16),(16,12)],17)

[[.,.],[[.,[[[.,[.,.]],.],.]],.]] => [1,5,4,6,7,3,8,2] => [5,4,6,1,7,3,8,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,11),(3,11),(4,11),(5,11),(6,11),(7,9),(8,9),(9,10),(10,11)],12)

[[.,.],[[[[[.,[.,.]],.],.],.],.]] => [1,4,3,5,6,7,8,2] => [4,3,1,5,6,7,8,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,10),(4,9),(5,12),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(12,16),(13,15),(14,15),(15,16)],17)

[[.,.],[[[[[[.,.],.],.],.],.],.]] => [1,3,4,5,6,7,8,2] => [3,1,4,5,6,7,8,2] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,19),(4,15),(5,14),(6,14),(6,17),(7,15),(7,18),(8,17),(8,18),(9,19),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,12),(16,13),(17,10),(17,16),(18,11),(18,16)],20)

[[.,[.,.]],[.,[.,[[[.,.],.],.]]]] => [2,1,6,7,8,5,4,3] => [6,7,8,2,1,5,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,13),(3,16),(4,15),(5,17),(6,17),(7,13),(7,14),(8,15),(8,16),(10,12),(11,9),(12,9),(13,10),(14,10),(15,11),(16,11),(17,12)],18)

[[.,[.,.]],[.,[[[[.,.],.],.],.]]] => [2,1,5,6,7,8,4,3] => [5,6,2,1,7,8,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,13),(10,13),(11,13),(12,13)],14)

[[.,[.,.]],[[[[.,.],.],.],[.,.]]] => [2,1,4,5,6,8,7,3] => [8,4,2,1,5,6,7,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,10),(4,9),(5,11),(6,11),(7,12),(8,9),(8,10),(9,13),(10,13),(11,14),(13,14),(14,12)],15)

[[[.,.],.],[.,[.,[[[.,.],.],.]]]] => [1,2,6,7,8,5,4,3] => [6,7,8,1,2,5,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,18),(4,15),(5,14),(6,16),(6,17),(7,14),(7,15),(8,13),(8,18),(10,13),(11,9),(12,9),(13,12),(14,10),(15,10),(16,11),(17,11),(18,12)],19)

[[[.,.],.],[.,[[.,[.,[.,.]]],.]]] => [1,2,7,6,5,8,4,3] => [7,6,5,8,1,2,4,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,14),(4,13),(5,17),(6,17),(7,15),(7,16),(8,12),(8,14),(10,13),(11,9),(12,11),(13,9),(14,11),(15,10),(16,10),(17,12)],18)

[[[.,.],.],[[[.,[.,[.,.]]],.],.]] => [1,2,6,5,4,7,8,3] => [6,5,4,1,2,7,8,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,10),(3,9),(4,12),(5,12),(6,11),(7,11),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,14)],15)

[[[.,.],.],[[[[.,[.,.]],.],.],.]] => [1,2,5,4,6,7,8,3] => [5,4,1,2,6,7,8,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,10),(3,9),(4,12),(5,12),(6,11),(7,11),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,14)],15)

[[[.,.],.],[[[[[.,.],.],.],.],.]] => [1,2,4,5,6,7,8,3] => [4,1,2,5,6,7,8,3] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,10),(4,9),(5,12),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(12,16),(13,15),(14,15),(15,16)],17)

[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]] => [3,2,1,7,6,5,8,4] => [7,6,5,3,2,1,8,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,10),(4,9),(5,12),(6,11),(7,11),(7,12),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,15),(14,15)],16)

[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]] => [2,3,1,8,7,6,5,4] => [8,7,6,5,2,3,1,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,17),(3,18),(4,18),(5,15),(6,17),(6,20),(7,14),(7,21),(8,20),(8,21),(10,12),(11,13),(12,9),(13,9),(14,11),(15,16),(16,14),(17,10),(18,15),(19,12),(19,13),(20,10),(20,19),(21,11),(21,19)],22)

[[.,[[.,.],.]],[.,[[.,.],[.,.]]]] => [2,3,1,6,8,7,5,4] => [8,6,7,2,3,1,5,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,10),(4,10),(5,11),(6,11),(7,9),(8,9),(9,15),(10,12),(11,13),(11,14),(12,15),(13,16),(14,16),(15,14)],17)

[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]] => [1,3,2,8,7,6,5,4] => [8,7,6,5,3,1,2,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,17),(3,18),(4,18),(5,15),(6,17),(6,20),(7,14),(7,21),(8,20),(8,21),(10,12),(11,13),(12,9),(13,9),(14,11),(15,16),(16,14),(17,10),(18,15),(19,12),(19,13),(20,10),(20,19),(21,11),(21,19)],22)

[[[[.,.],.],.],[[[[.,.],.],.],.]] => [1,2,3,5,6,7,8,4] => [5,1,2,3,6,7,8,4] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,10),(4,9),(5,12),(6,11),(7,11),(7,12),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,15),(14,15)],16)

[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]] => [4,3,2,1,8,7,6,5] => [8,7,6,4,3,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,18),(3,17),(4,19),(5,15),(5,21),(6,17),(6,20),(7,18),(7,20),(8,19),(8,21),(10,16),(11,10),(12,10),(13,9),(14,9),(15,13),(16,15),(17,11),(18,12),(19,14),(20,11),(20,12),(21,13),(21,14)],22)

[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]] => [3,4,2,1,8,7,6,5] => [8,7,6,3,4,2,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,16),(5,17),(6,14),(6,17),(7,13),(7,19),(8,16),(8,19),(10,15),(11,9),(12,9),(13,11),(14,10),(15,13),(16,12),(17,10),(18,14),(19,11),(19,12)],20)

[[.,[.,[[.,.],.]]],[.,[[.,.],.]]] => [3,4,2,1,7,8,6,5] => [7,8,3,4,2,1,6,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,11),(5,11),(6,12),(7,12),(8,10),(8,13),(9,15),(10,16),(11,14),(12,13),(13,16),(14,15),(16,14)],17)

[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]] => [2,4,3,1,8,7,6,5] => [8,7,6,4,2,3,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,19),(3,19),(4,16),(5,15),(6,14),(7,17),(7,18),(8,13),(8,18),(10,14),(11,9),(12,9),(13,12),(14,13),(15,10),(16,10),(17,11),(18,11),(18,12),(19,15),(19,16)],20)

[[.,[[.,.],[.,.]]],[[.,[.,.]],.]] => [2,4,3,1,7,6,8,5] => [7,6,4,2,3,1,8,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,11),(3,14),(4,14),(5,9),(6,9),(7,10),(8,10),(9,11),(9,12),(10,14),(11,13),(12,13),(13,14)],15)

[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]] => [3,2,4,1,8,7,6,5] => [8,7,6,3,2,4,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,15),(4,16),(5,17),(6,17),(7,16),(7,18),(8,12),(8,18),(10,9),(11,9),(12,11),(13,14),(14,12),(15,13),(16,10),(17,15),(18,10),(18,11)],19)

[[.,[[.,[.,.]],.]],[.,[[.,.],.]]] => [3,2,4,1,7,8,6,5] => [7,8,3,2,4,1,6,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,9),(4,9),(5,10),(6,10),(7,11),(8,11),(9,15),(10,14),(11,12),(12,13),(13,14),(14,15)],16)

[[.,[[.,[.,.]],.]],[[.,.],[.,.]]] => [3,2,4,1,6,8,7,5] => [8,6,3,2,4,1,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,11),(3,13),(4,13),(5,13),(6,9),(7,9),(8,10),(9,11),(11,12),(12,13),(13,10)],14)

[[.,[[[.,.],.],.]],[.,[.,[.,.]]]] => [2,3,4,1,8,7,6,5] => [8,7,6,2,3,4,1,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,15),(4,18),(5,14),(6,16),(6,17),(7,18),(7,19),(8,13),(8,19),(10,14),(11,9),(12,9),(13,12),(14,15),(15,13),(16,10),(17,10),(18,11),(19,11),(19,12)],20)

[[.,[[[.,.],.],.]],[[[.,.],.],.]] => [2,3,4,1,6,7,8,5] => [6,2,3,4,1,7,8,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,14),(3,14),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,12)],15)

[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]] => [1,4,3,2,8,7,6,5] => [8,7,6,4,3,1,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,16),(5,17),(6,14),(6,17),(7,13),(7,19),(8,16),(8,19),(10,15),(11,9),(12,9),(13,11),(14,10),(15,13),(16,12),(17,10),(18,14),(19,11),(19,12)],20)

[[[.,.],[[.,.],.]],[.,[.,[.,.]]]] => [1,3,4,2,8,7,6,5] => [8,7,6,3,1,4,2,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,16),(4,16),(5,10),(6,11),(7,9),(7,12),(8,9),(8,10),(9,13),(9,15),(10,13),(11,12),(12,15),(13,14),(15,14),(16,11)],17)

[[[.,.],[[.,.],.]],[[.,.],[.,.]]] => [1,3,4,2,6,8,7,5] => [8,6,3,1,4,2,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,10),(5,10),(6,10),(7,10),(8,9),(10,11),(11,9)],12)

[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]] => [2,1,4,3,8,7,6,5] => [8,7,6,4,2,1,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,15),(4,16),(5,17),(6,17),(7,16),(7,18),(8,12),(8,18),(10,9),(11,9),(12,11),(13,14),(14,12),(15,13),(16,10),(17,15),(18,10),(18,11)],19)

[[[.,[.,.]],[.,.]],[.,[[.,.],.]]] => [2,1,4,3,7,8,6,5] => [7,8,4,2,1,3,6,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,9),(4,9),(5,10),(6,10),(7,11),(8,11),(9,15),(10,14),(11,12),(12,13),(13,14),(14,15)],16)

[[[[.,.],.],[.,.]],[.,[.,[.,.]]]] => [1,2,4,3,8,7,6,5] => [8,7,6,4,1,2,3,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,15),(4,18),(5,14),(6,16),(6,17),(7,18),(7,19),(8,13),(8,19),(10,14),(11,9),(12,9),(13,12),(14,15),(15,13),(16,10),(17,10),(18,11),(19,11),(19,12)],20)

[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]] => [3,2,1,4,8,7,6,5] => [8,7,6,3,2,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,17),(3,19),(4,18),(5,14),(5,16),(6,18),(6,19),(7,15),(7,20),(8,17),(8,20),(10,15),(11,14),(12,9),(13,9),(14,10),(15,12),(16,10),(17,13),(18,11),(19,11),(20,12),(20,13)],21)

[[[.,[.,[.,.]]],.],[[.,.],[.,.]]] => [3,2,1,4,6,8,7,5] => [8,6,3,2,1,4,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,14),(3,14),(4,14),(5,10),(6,9),(7,11),(8,9),(8,10),(9,13),(10,13),(12,14),(13,12),(14,11)],15)

[[[.,[[.,.],.]],.],[.,[.,[.,.]]]] => [2,3,1,4,8,7,6,5] => [8,7,6,2,3,1,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,16),(5,17),(6,14),(6,17),(7,13),(7,19),(8,16),(8,19),(10,13),(11,9),(12,9),(13,11),(14,10),(15,14),(16,12),(17,10),(18,15),(19,11),(19,12)],20)

[[[[.,.],[.,.]],.],[.,[.,[.,.]]]] => [1,3,2,4,8,7,6,5] => [8,7,6,3,1,2,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,16),(5,17),(6,14),(6,17),(7,13),(7,19),(8,16),(8,19),(10,13),(11,9),(12,9),(13,11),(14,10),(15,14),(16,12),(17,10),(18,15),(19,11),(19,12)],20)

[[[[.,.],[.,.]],.],[[.,.],[.,.]]] => [1,3,2,4,6,8,7,5] => [8,6,3,1,2,4,7,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,11),(3,13),(4,13),(5,13),(6,9),(7,9),(8,10),(9,11),(11,12),(12,13),(13,10)],14)

[[[[.,[.,.]],.],.],[.,[.,[.,.]]]] => [2,1,3,4,8,7,6,5] => [8,7,6,2,1,3,4,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,17),(4,18),(5,16),(5,20),(6,15),(6,21),(7,18),(7,20),(8,17),(8,21),(10,15),(11,10),(12,10),(13,9),(14,9),(15,13),(16,11),(17,14),(18,12),(19,16),(20,11),(20,12),(21,13),(21,14)],22)

[[[[[.,.],.],.],.],[[.,[.,.]],.]] => [1,2,3,4,7,6,8,5] => [7,6,1,2,3,4,8,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,10),(4,9),(5,12),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(12,16),(13,15),(14,15),(15,16)],17)

[[[[[.,.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,6,7,8,5] => [6,1,2,3,4,7,8,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,10),(4,9),(5,12),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(12,16),(13,15),(14,15),(15,16)],17)

[[[[.,[.,.]],.],[.,.]],[.,[.,.]]] => [2,1,3,5,4,8,7,6] => [8,7,5,2,1,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,16),(4,15),(5,17),(6,17),(7,12),(7,16),(8,11),(8,15),(10,14),(11,10),(12,9),(13,12),(14,13),(15,10),(16,9),(17,11)],18)

[[[[[.,.],.],.],[.,.]],[.,[.,.]]] => [1,2,3,5,4,8,7,6] => [8,7,5,1,2,3,4,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,15),(4,18),(5,14),(6,13),(6,18),(7,16),(7,19),(8,17),(8,19),(10,14),(11,10),(12,10),(13,9),(14,15),(15,13),(16,11),(17,12),(18,9),(19,11),(19,12)],20)

[[[[[.,.],.],[.,.]],.],[.,[.,.]]] => [1,2,4,3,5,8,7,6] => [8,7,4,1,2,3,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,17),(4,18),(5,14),(6,15),(6,16),(7,13),(7,18),(8,12),(8,17),(10,14),(11,13),(12,11),(13,9),(14,12),(15,10),(16,10),(17,11),(18,9)],19)

[[[[.,[.,[.,.]]],.],.],[.,[.,.]]] => [3,2,1,4,5,8,7,6] => [8,7,3,2,1,4,5,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,18),(3,17),(4,16),(5,15),(5,19),(6,17),(6,18),(7,14),(7,20),(8,16),(8,20),(10,15),(11,14),(12,10),(13,10),(14,12),(15,9),(16,13),(17,11),(18,11),(19,9),(20,12),(20,13)],21)

[[[[.,[[.,.],.]],.],.],[[.,.],.]] => [2,3,1,4,5,7,8,6] => [7,2,3,1,4,5,8,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,14),(3,14),(4,14),(5,9),(6,10),(7,10),(8,9),(8,12),(9,13),(10,11),(11,12),(12,13),(13,14)],15)

[[[[[.,.],[.,.]],.],.],[[.,.],.]] => [1,3,2,4,5,7,8,6] => [7,3,1,2,4,5,8,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,14),(3,14),(4,14),(5,9),(6,10),(7,10),(8,9),(8,12),(9,13),(10,11),(11,12),(12,13),(13,14)],15)

[[[[[[.,.],.],.],.],.],[[.,.],.]] => [1,2,3,4,5,7,8,6] => [7,1,2,3,4,5,8,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,19),(4,15),(5,14),(6,14),(6,17),(7,15),(7,18),(8,17),(8,18),(9,19),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,12),(16,13),(17,10),(17,16),(18,11),(18,16)],20)

[[.,[.,[.,[[[.,.],.],.]]]],[.,.]] => [4,5,6,3,2,1,8,7] => [8,4,5,6,3,2,1,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,17),(4,16),(5,9),(6,17),(6,18),(7,14),(7,19),(8,16),(8,19),(10,15),(11,14),(12,10),(13,10),(14,12),(15,9),(16,13),(17,11),(18,11),(19,12),(19,13)],20)

[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]] => [1,6,5,4,3,2,8,7] => [8,6,5,4,3,1,2,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,12),(11,12),(12,16),(13,11),(14,10),(15,14),(16,9),(17,13),(18,15),(19,10),(19,11),(20,14),(20,19),(21,13),(21,19)],22)

[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]] => [2,1,6,5,4,3,8,7] => [8,6,5,4,2,1,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,16),(3,17),(4,17),(5,14),(6,9),(7,16),(7,18),(8,13),(8,18),(10,15),(11,10),(12,10),(13,12),(14,13),(15,9),(16,11),(17,14),(18,11),(18,12)],19)

[[[.,[.,.]],[.,[[.,.],.]]],[.,.]] => [2,1,5,6,4,3,8,7] => [8,5,6,2,1,4,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,15),(10,14),(11,14),(12,13),(14,15),(15,12)],16)

[[[[.,.],.],[[.,[.,.]],.]],[.,.]] => [1,2,5,4,6,3,8,7] => [8,5,4,1,2,6,3,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,13),(4,10),(5,10),(6,9),(7,9),(8,11),(9,13),(10,13),(11,12),(13,11)],14)

[[[.,[[.,.],.]],[.,[.,.]]],[.,.]] => [2,3,1,6,5,4,8,7] => [8,6,5,2,3,1,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,13),(5,14),(6,15),(7,11),(8,9),(8,12),(9,16),(10,14),(12,16),(13,12),(14,13),(15,11),(16,15)],17)

[[[[[.,.],.],.],[.,[.,.]]],[.,.]] => [1,2,3,6,5,4,8,7] => [8,6,5,1,2,3,4,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,17),(4,16),(5,9),(6,14),(6,16),(7,17),(7,19),(8,18),(8,19),(10,14),(11,15),(12,10),(13,10),(14,11),(15,9),(16,11),(17,12),(18,13),(19,12),(19,13)],20)

[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]] => [4,3,2,1,6,5,8,7] => [8,6,4,3,2,1,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,15),(4,17),(5,16),(6,9),(7,16),(7,18),(8,17),(8,18),(10,13),(11,10),(12,10),(13,14),(14,15),(15,9),(16,11),(17,12),(18,11),(18,12)],19)

[[[.,[.,[[.,.],.]]],[.,.]],[.,.]] => [3,4,2,1,6,5,8,7] => [8,6,3,4,2,1,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,13),(5,14),(6,15),(7,11),(8,9),(8,12),(9,16),(10,12),(12,16),(13,14),(14,11),(15,13),(16,15)],17)

[[[[.,[.,.]],[.,.]],[.,.]],[.,.]] => [2,1,4,3,6,5,8,7] => [8,6,4,2,1,3,5,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,11),(4,12),(5,13),(6,14),(7,15),(8,10),(9,15),(11,12),(12,14),(13,11),(14,10),(15,13)],16)

[[[[.,[[[.,.],.],.]],.],.],[.,.]] => [2,3,4,1,5,6,8,7] => [8,2,3,4,1,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,17),(4,16),(5,9),(6,17),(6,18),(7,14),(7,19),(8,16),(8,19),(10,15),(11,13),(12,13),(13,9),(14,11),(15,14),(16,12),(17,10),(18,10),(19,11),(19,12)],20)

[[[[[[.,.],.],[.,.]],.],.],[.,.]] => [1,2,4,3,5,6,8,7] => [8,4,1,2,3,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,17),(4,16),(5,9),(6,17),(6,18),(7,14),(7,19),(8,16),(8,19),(10,15),(11,13),(12,13),(13,9),(14,11),(15,14),(16,12),(17,10),(18,10),(19,11),(19,12)],20)

[[[[[.,[[.,.],.]],.],.],.],[.,.]] => [2,3,1,4,5,6,8,7] => [8,2,3,1,4,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,14),(11,14),(12,11),(13,10),(14,9),(15,13),(16,15),(17,12),(18,16),(19,10),(19,11),(20,13),(20,19),(21,12),(21,19)],22)

[[[[[[.,.],[.,.]],.],.],.],[.,.]] => [1,3,2,4,5,6,8,7] => [8,3,1,2,4,5,6,7] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,14),(11,14),(12,11),(13,10),(14,9),(15,13),(16,15),(17,12),(18,16),(19,10),(19,11),(20,13),(20,19),(21,12),(21,19)],22)

[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.] => [4,3,7,6,5,2,1,8] => [7,6,4,3,5,2,1,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,21),(2,17),(3,17),(4,16),(5,15),(6,9),(7,15),(7,19),(8,16),(8,20),(10,14),(11,14),(12,10),(13,11),(14,9),(15,12),(16,13),(17,21),(18,10),(18,11),(19,12),(19,18),(20,13),(20,18),(21,19),(21,20)],22)

[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.] => [5,4,3,7,6,2,1,8] => [7,5,4,3,6,2,1,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,19),(3,17),(4,16),(5,15),(6,9),(7,16),(7,17),(8,15),(8,18),(10,19),(11,13),(12,13),(13,9),(14,11),(15,12),(16,10),(17,10),(18,11),(18,12),(19,14),(19,18)],20)

[[.,[[[[[.,[.,.]],.],.],.],.]],.] => [3,2,4,5,6,7,1,8] => [3,2,4,5,6,7,1,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,12),(11,12),(12,16),(13,11),(14,10),(15,14),(16,9),(17,13),(18,15),(19,10),(19,11),(20,14),(20,19),(21,13),(21,19)],22)

[[[.,.],[[[.,.],[.,[.,.]]],.]],.] => [1,3,6,5,4,7,2,8] => [6,5,3,1,4,7,2,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)

[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.] => [2,1,7,6,5,4,3,8] => [7,6,5,4,2,1,3,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,14),(11,14),(12,11),(13,10),(14,9),(15,13),(16,15),(17,12),(18,16),(19,10),(19,11),(20,13),(20,19),(21,12),(21,19)],22)

[[[[[.,.],.],.],[.,[.,[.,.]]]],.] => [1,2,3,7,6,5,4,8] => [7,6,5,1,2,3,4,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,18),(2,17),(3,19),(4,9),(5,16),(5,21),(6,17),(6,20),(7,18),(7,20),(8,19),(8,21),(10,16),(11,15),(12,10),(13,10),(14,15),(15,9),(16,11),(17,12),(18,13),(19,14),(20,12),(20,13),(21,11),(21,14)],22)

[[[[.,.],[.,[.,.]]],[.,[.,.]]],.] => [1,4,3,2,7,6,5,8] => [7,6,4,3,1,2,5,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,17),(3,17),(4,15),(5,16),(6,9),(7,13),(7,15),(8,12),(8,16),(10,14),(11,9),(12,11),(13,10),(14,12),(15,10),(16,11),(17,13)],18)

[[[[.,.],[[.,.],.]],[[.,.],.]],.] => [1,3,4,2,6,7,5,8] => [6,3,1,4,2,7,5,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,10),(5,10),(6,10),(7,10),(8,9),(10,11),(11,9)],12)

[[[[[[.,.],[.,.]],.],.],[.,.]],.] => [1,3,2,4,5,7,6,8] => [7,3,1,2,4,5,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,16),(3,17),(4,17),(5,14),(6,9),(7,16),(7,18),(8,13),(8,18),(10,15),(11,10),(12,10),(13,12),(14,13),(15,9),(16,11),(17,14),(18,11),(18,12)],19)

[[[[[[.,[.,.]],.],.],.],[.,.]],.] => [2,1,3,4,5,7,6,8] => [7,2,1,3,4,5,6,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,18),(3,18),(4,16),(5,9),(6,17),(6,21),(7,15),(7,20),(8,20),(8,21),(10,12),(11,12),(12,16),(13,11),(14,10),(15,14),(16,9),(17,13),(18,15),(19,10),(19,11),(20,14),(20,19),(21,13),(21,19)],22)

[[[.,[[[[.,.],[.,.]],.],.]],.],.] => [2,4,3,5,6,1,7,8] => [4,2,3,5,6,1,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,14),(3,16),(4,15),(5,17),(6,17),(7,12),(7,16),(8,11),(8,15),(10,13),(11,10),(12,9),(13,12),(14,11),(15,10),(16,9),(17,14)],18)

[[[[.,.],[[.,[.,.]],[.,.]]],.],.] => [1,4,3,6,5,2,7,8] => [6,4,3,1,5,2,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,14),(4,9),(5,10),(6,10),(7,11),(8,9),(8,12),(9,13),(10,14),(11,12),(12,13),(14,11)],15)

[[[[.,[.,.]],[[.,.],[.,.]]],.],.] => [2,1,4,6,5,3,7,8] => [6,4,2,1,5,3,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,14),(4,9),(5,10),(6,10),(7,11),(8,9),(8,12),(9,13),(10,14),(11,12),(12,13),(14,11)],15)

[[[[[[.,.],.],[.,.]],[.,.]],.],.] => [1,2,4,3,6,5,7,8] => [6,4,1,2,3,5,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,14),(4,17),(5,16),(6,15),(7,15),(7,16),(8,11),(8,17),(10,14),(11,9),(12,13),(13,11),(14,12),(15,10),(16,10),(17,9)],18)

[[[[.,[[[.,.],.],[.,.]]],.],.],.] => [2,3,5,4,1,6,7,8] => [5,2,3,4,1,6,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,18),(2,17),(3,16),(4,15),(5,14),(6,17),(6,18),(7,16),(7,20),(8,13),(8,20),(10,13),(11,9),(12,9),(13,12),(14,10),(15,10),(16,11),(17,19),(18,19),(19,14),(19,15),(20,11),(20,12)],21)

[[[[.,[[[[.,.],.],.],.]],.],.],.] => [2,3,4,5,1,6,7,8] => [2,3,4,5,1,6,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,18),(3,17),(4,19),(5,15),(5,21),(6,17),(6,20),(7,18),(7,20),(8,19),(8,21),(10,16),(11,10),(12,10),(13,9),(14,9),(15,13),(16,15),(17,11),(18,12),(19,14),(20,11),(20,12),(21,13),(21,14)],22)

[[[[[[[.,.],.],.],[.,.]],.],.],.] => [1,2,3,5,4,6,7,8] => [5,1,2,3,4,6,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,18),(3,17),(4,19),(5,15),(5,21),(6,17),(6,20),(7,18),(7,20),(8,19),(8,21),(10,16),(11,10),(12,10),(13,9),(14,9),(15,13),(16,15),(17,11),(18,12),(19,14),(20,11),(20,12),(21,13),(21,14)],22)

[[[[[.,[[.,[.,.]],.]],.],.],.],.] => [3,2,4,1,5,6,7,8] => [3,2,4,1,5,6,7,8] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,17),(3,18),(4,18),(5,15),(6,17),(6,20),(7,14),(7,21),(8,20),(8,21),(10,12),(11,13),(12,9),(13,9),(14,11),(15,16),(16,14),(17,10),(18,15),(19,12),(19,13),(20,10),(20,19),(21,11),(21,19)],22)

[[[[[[.,.],.],.],.],.],[[[.,.],.],.]] => [1,2,3,4,5,7,8,9,6] => [7,1,2,3,4,5,8,9,6] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,21),(2,21),(3,17),(4,16),(5,11),(6,11),(7,16),(7,19),(8,17),(8,20),(9,19),(9,20),(10,21),(11,21),(12,14),(13,15),(14,10),(15,10),(16,12),(17,13),(18,14),(18,15),(19,12),(19,18),(20,13),(20,18)],22)

[[[[[.,.],.],.],.],[[[[.,.],.],.],.]] => [1,2,3,4,6,7,8,9,5] => [6,1,2,3,4,7,8,9,5] => ([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(1,19),(2,19),(3,11),(4,10),(5,13),(6,12),(7,10),(7,11),(8,12),(8,14),(9,13),(9,14),(10,17),(11,17),(12,15),(13,16),(14,15),(14,16),(15,18),(16,18),(17,19),(18,19)],20)

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

Foata bijection

Description

Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.

If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.

In either case, place a vertical line at the start of the word as well. Now, within each block between vertical lines, cyclically shift the entries one place to the right.
To compute $\phi([1,4,2,5,3])$, the sequence of words is

$1$
$|1|4 \to 14$
$|14|2 \to 412$
$|4|1|2|5 \to 4125$
$|4|125|3 \to 45123.$

In total, this gives $\phi([1,4,2,5,3]) = [4,5,1,2,3]$.
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).

Map

lattice of intervals

Description

The lattice of intervals of a permutation.
An interval of a permutation $\pi$ is a possibly empty interval of values that appear in consecutive positions of $\pi$. The lattice of intervals of $\pi$ has as elements the intervals of $\pi$, ordered by set inclusion.