Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00208: Permutations —lattice of intervals⟶ Lattices
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00208: Permutations —lattice of intervals⟶ Lattices
Images
=>
Cc0010;cc-rep-0Cc0029;cc-rep-3
[.,.]=>[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]=>[2,3,1]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
[.,[[.,.],.]]=>[2,3,1]=>[3,2,1]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
[[.,.],[.,.]]=>[1,3,2]=>[1,3,2]=>([(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]=>[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)
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[2,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[.,[[.,.],[.,.]]]=>[2,4,3,1]=>[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)
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[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)
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[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)
[[.,.],[.,[.,.]]]=>[1,4,3,2]=>[1,3,4,2]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[[.,.],[[.,.],.]]=>[1,3,4,2]=>[1,4,3,2]=>([(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)
[[.,[.,.]],[.,.]]=>[2,1,4,3]=>[2,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
[[[.,.],.],[.,.]]=>[1,2,4,3]=>[1,2,4,3]=>([(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)
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[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)
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[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)
[[[.,.],[.,.]],.]=>[1,3,2,4]=>[1,3,2,4]=>([(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)
[[[.,[.,.]],.],.]=>[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]=>[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)
[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[2,3,5,4,1]=>([(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)
[.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[2,4,3,5,1]=>([(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)
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[2,5,4,3,1]=>([(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)
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[2,5,3,4,1]=>([(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)
[.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[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)
[.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[3,2,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,7),(4,6),(5,6),(6,9),(7,9),(9,8)],10)
[.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[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)
[.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[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)
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[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)
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[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)
[.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[5,2,4,3,1]=>([(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)
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[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)
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[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)
[[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[1,3,4,5,2]=>([(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)
[[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[1,3,5,4,2]=>([(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)
[[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[1,4,3,5,2]=>([(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)
[[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[1,5,4,3,2]=>([(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)
[[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[1,5,3,4,2]=>([(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)
[[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[2,1,4,5,3]=>([(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)
[[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[2,1,5,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(5,7),(5,8),(6,10),(7,9),(8,9),(9,10)],11)
[[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[1,2,4,5,3]=>([(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)
[[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[1,2,5,4,3]=>([(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)
[[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[2,3,1,5,4]=>([(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)
[[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[3,2,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,7),(3,6),(4,6),(5,7),(5,8),(6,10),(7,9),(8,9),(9,10)],11)
[[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[1,3,2,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
[[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[2,1,3,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(1,9),(2,7),(3,7),(4,6),(5,6),(6,9),(7,8),(8,10),(9,10)],11)
[[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[1,2,3,5,4]=>([(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)
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[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)
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[2,4,3,1,5]=>([(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)
[[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[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)
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[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)
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[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)
[[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[1,3,4,2,5]=>([(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)
[[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[1,4,3,2,5]=>([(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)
[[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[2,1,4,3,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
[[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[1,2,4,3,5]=>([(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)
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[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)
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[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)
[[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[1,3,2,4,5]=>([(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)
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[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]=>[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)
[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]=>([(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)
[.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1]=>([(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)
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]=>([(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)
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1]=>([(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)
[.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1]=>([(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)
[.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[2,4,3,6,5,1]=>([(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),(8,11),(9,12),(11,12),(12,10)],13)
[.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1]=>([(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)
[.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[2,5,3,4,6,1]=>([(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)
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]=>([(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)
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]=>([(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)
[.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[2,6,3,5,4,1]=>([(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)
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[2,6,4,3,5,1]=>([(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)
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[2,6,3,4,5,1]=>([(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)
[.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[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)
[.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[3,2,4,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,9),(6,10),(6,11),(7,11),(8,10),(10,12),(11,12),(12,9)],13)
[.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[3,2,5,4,6,1]=>([(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),(8,11),(9,12),(11,12),(12,10)],13)
[.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[3,2,6,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,7),(5,7),(6,8),(6,9),(7,12),(8,11),(9,11),(11,12),(12,10)],13)
[.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[3,2,6,4,5,1]=>([(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)
[.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[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)
[.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[4,3,2,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,7),(5,7),(6,8),(6,9),(7,12),(8,11),(9,11),(11,12),(12,10)],13)
[.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[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)
[.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[4,2,3,6,5,1]=>([(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)
[.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[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)
[.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[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)
[.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[5,2,4,3,6,1]=>([(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)
[.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[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)
[.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[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)
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[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)
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]=>([(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)
[.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[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)
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[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)
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[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)
[.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[6,2,4,5,3,1]=>([(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)
[.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[6,2,5,4,3,1]=>([(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)
[.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[6,3,2,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,11),(9,12),(10,12),(11,9),(11,10)],13)
[.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[6,2,3,5,4,1]=>([(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)
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[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)
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[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)
[.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[6,2,4,3,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,8),(3,11),(4,10),(5,13),(6,13),(8,12),(9,12),(10,7),(11,7),(12,10),(12,11),(13,8),(13,9)],14)
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[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)
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[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)
[[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]=>([(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)
[[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]=>([(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)
[[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]=>([(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)
[[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2]=>([(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)
[[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]=>([(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)
[[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]=>([(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)
[[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,11),(9,10),(11,9)],12)
[[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2]=>([(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)
[[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]=>([(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)
[[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2]=>([(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)
[[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]=>([(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)
[[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]=>([(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)
[[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]=>([(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)
[[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]=>([(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)
[[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[2,1,4,5,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,7),(5,7),(6,8),(6,9),(7,12),(8,11),(9,11),(10,12),(11,10)],13)
[[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[2,1,4,6,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,10),(10,11)],12)
[[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[2,1,5,4,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,10),(10,11)],12)
[[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,11),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,7),(14,8),(14,9)],15)
[[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(8,10),(9,12),(10,12),(12,11)],13)
[[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]=>([(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)
[[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]=>([(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)
[[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]=>([(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)
[[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]=>([(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)
[[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]=>([(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)
[[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4]=>([(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)
[[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[2,3,1,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,8),(3,7),(4,9),(5,9),(6,7),(6,8),(7,11),(8,11),(9,10),(10,12),(11,12)],13)
[[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[3,2,1,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,8),(3,7),(4,9),(5,9),(6,7),(6,8),(7,11),(8,11),(9,10),(10,12),(11,12)],13)
[[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,12),(5,12),(5,13),(6,10),(6,11),(8,7),(9,7),(10,8),(11,8),(12,9),(13,9)],14)
[[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4]=>([(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)
[[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,10),(4,13),(5,13),(6,11),(6,12),(8,9),(9,7),(10,7),(11,8),(12,8),(13,9),(13,10)],14)
[[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4]=>([(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)
[[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,11),(5,9),(5,10),(6,11),(6,12),(8,9),(9,7),(10,7),(11,8),(12,8),(13,10)],14)
[[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]=>([(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)
[[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]=>([(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)
[[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[2,3,4,1,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,7),(5,7),(6,8),(6,9),(7,12),(8,11),(9,11),(10,12),(11,10)],13)
[[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[2,4,3,1,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,10),(10,11)],12)
[[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[3,2,4,1,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(9,10),(10,11)],12)
[[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[4,3,2,1,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,11),(5,11),(5,14),(6,12),(6,14),(8,10),(9,10),(10,7),(11,8),(12,9),(13,7),(14,8),(14,9)],15)
[[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,11),(8,9),(8,10),(9,12),(10,12),(12,11)],13)
[[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5]=>([(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)
[[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,9),(4,12),(5,12),(6,10),(6,11),(8,7),(9,7),(10,13),(11,13),(12,8),(13,8),(13,9)],14)
[[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,7),(4,7),(5,9),(6,9),(7,11),(8,10),(9,10),(9,11),(10,12),(11,12)],13)
[[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,12),(4,12),(5,11),(6,11),(6,13),(8,9),(9,7),(10,7),(11,10),(12,8),(13,9),(13,10),(14,8),(14,13)],15)
[[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5]=>([(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)
[[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,13),(3,12),(4,11),(5,9),(5,10),(6,11),(6,12),(8,9),(9,7),(10,7),(11,8),(12,8),(13,10)],14)
[[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,12),(4,12),(5,11),(6,10),(6,13),(8,7),(9,7),(10,8),(11,9),(12,10),(13,8),(13,9),(14,11),(14,13)],15)
[[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,12),(3,13),(4,13),(5,11),(5,14),(6,10),(6,14),(8,7),(9,7),(10,8),(11,9),(12,10),(13,11),(14,8),(14,9)],15)
[[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>([(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)
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[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)
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[2,3,5,4,1,6]=>([(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)
[[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[2,4,3,5,1,6]=>([(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)
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[2,5,4,3,1,6]=>([(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)
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[2,5,3,4,1,6]=>([(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)
[[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[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)
[[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[3,2,5,4,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,11),(9,10),(11,9)],12)
[[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[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)
[[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[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)
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[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)
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[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)
[[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[5,2,4,3,1,6]=>([(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)
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[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)
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[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)
[[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]=>([(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)
[[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]=>([(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)
[[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]=>([(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)
[[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]=>([(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)
[[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,8),(3,11),(4,10),(5,13),(6,13),(8,12),(9,12),(10,7),(11,7),(12,10),(12,11),(13,8),(13,9)],14)
[[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[2,1,4,5,3,6]=>([(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)
[[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,9),(4,12),(5,12),(6,10),(6,11),(8,7),(9,7),(10,13),(11,13),(12,8),(13,8),(13,9)],14)
[[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]=>([(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)
[[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]=>([(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)
[[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[2,3,1,5,4,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,10),(8,9),(8,11),(9,12),(10,11),(11,12)],13)
[[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,10),(4,13),(5,13),(6,11),(6,12),(8,9),(9,7),(10,7),(11,8),(12,8),(13,9),(13,10)],14)
[[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,10),(3,13),(4,13),(5,14),(6,14),(8,7),(9,7),(10,8),(11,9),(12,8),(12,9),(13,10),(13,12),(14,11),(14,12)],15)
[[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,12),(4,12),(5,11),(6,10),(6,13),(8,7),(9,7),(10,8),(11,9),(12,10),(13,8),(13,9),(14,11),(14,13)],15)
[[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>([(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)
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[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)
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[2,4,3,1,5,6]=>([(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)
[[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[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)
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[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)
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[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)
[[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]=>([(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)
[[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]=>([(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)
[[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,12),(4,12),(5,11),(6,11),(6,13),(8,9),(9,7),(10,7),(11,10),(12,8),(13,9),(13,10),(14,8),(14,13)],15)
[[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>([(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)
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[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)
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[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)
[[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>([(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)
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[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)
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1]=>([(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)
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[2,3,4,6,5,7,1]=>([(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)
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[2,3,4,7,6,5,1]=>([(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)
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,8),(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)
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1]=>([(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)
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[2,3,5,4,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,14),(5,13),(6,8),(7,13),(7,15),(9,10),(10,12),(11,12),(12,8),(13,11),(14,9),(15,10),(15,11),(16,9),(16,15)],17)
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[2,3,6,5,4,7,1]=>([(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),(7,13),(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)
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[2,3,6,4,5,7,1]=>([(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)
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[2,3,7,5,6,4,1]=>([(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)
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[2,3,7,6,5,4,1]=>([(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)
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[2,3,7,4,6,5,1]=>([(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)
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[2,3,7,5,4,6,1]=>([(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)
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1]=>([(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)
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[2,4,3,5,6,7,1]=>([(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)
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[2,4,3,5,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,14),(5,13),(6,8),(7,12),(7,15),(9,11),(10,11),(11,8),(12,9),(13,10),(14,12),(15,9),(15,10),(16,13),(16,15)],17)
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[2,4,3,6,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,15),(5,16),(6,16),(7,8),(9,11),(10,11),(11,8),(12,9),(13,10),(14,9),(14,10),(15,12),(15,14),(16,13),(16,14)],17)
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[2,4,3,7,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,14),(3,13),(4,15),(5,15),(6,8),(7,13),(7,14),(9,10),(10,11),(11,8),(12,11),(13,9),(14,9),(15,10),(15,12)],16)
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[2,4,3,7,5,6,1]=>([(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)
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[2,5,4,3,6,7,1]=>([(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),(7,13),(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)
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[2,5,4,3,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,8),(7,12),(7,13),(9,10),(10,8),(11,10),(12,15),(13,15),(14,9),(15,9),(15,11)],16)
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[2,5,3,4,6,7,1]=>([(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)
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[2,5,3,4,7,6,1]=>([(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),(9,12),(11,14),(12,11),(12,13),(13,14),(14,10)],15)
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[2,6,4,5,3,7,1]=>([(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),(7,8),(9,8),(10,14),(11,14),(12,9),(13,9),(14,12),(14,13),(15,10),(15,11)],16)
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[2,6,5,4,3,7,1]=>([(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)
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[2,6,3,5,4,7,1]=>([(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)
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[2,6,4,3,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,9),(5,11),(6,13),(7,12),(8,12),(9,14),(10,14),(12,13),(13,9),(13,10),(14,11)],15)
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[2,6,3,4,5,7,1]=>([(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)
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[2,7,4,5,6,3,1]=>([(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)
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[2,7,4,6,5,3,1]=>([(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)
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[2,7,5,4,6,3,1]=>([(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)
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[2,7,6,5,4,3,1]=>([(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)
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[2,7,6,4,5,3,1]=>([(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)
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[2,7,3,5,6,4,1]=>([(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)
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[2,7,3,6,5,4,1]=>([(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)
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[2,7,4,3,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,13),(9,13),(11,10),(12,11),(13,12)],14)
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[2,7,3,4,6,5,1]=>([(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)
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[2,7,4,5,3,6,1]=>([(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)
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[2,7,5,4,3,6,1]=>([(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)
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[2,7,3,5,4,6,1]=>([(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)
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[2,7,4,3,5,6,1]=>([(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)
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[2,7,3,4,5,6,1]=>([(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)
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[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)
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[3,2,4,5,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,15),(4,15),(5,8),(6,13),(6,16),(7,12),(7,16),(9,11),(10,11),(11,8),(12,9),(13,10),(14,12),(15,13),(16,9),(16,10)],17)
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[3,2,4,6,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,14),(5,13),(6,8),(7,12),(7,15),(9,11),(10,11),(11,8),(12,9),(13,10),(14,12),(15,9),(15,10),(16,13),(16,15)],17)
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[3,2,4,7,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,13),(5,8),(6,11),(6,12),(7,13),(7,14),(9,11),(10,8),(11,10),(12,10),(13,9),(14,9),(15,12)],16)
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[3,2,4,7,5,6,1]=>([(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)
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[3,2,5,4,6,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,14),(5,13),(6,8),(7,13),(7,15),(9,10),(10,12),(11,12),(12,8),(13,11),(14,9),(15,10),(15,11),(16,9),(16,15)],17)
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[3,2,5,4,7,6,1]=>([(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),(9,12),(10,12),(10,13),(12,14),(13,14),(14,11)],15)
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[3,2,6,5,4,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,8),(7,12),(7,13),(9,10),(10,8),(11,10),(12,15),(13,15),(14,9),(15,9),(15,11)],16)
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[3,2,6,4,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,11),(7,12),(8,13),(9,12),(11,14),(12,11),(12,13),(13,14),(14,10)],15)
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[3,2,7,5,6,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,12),(6,11),(7,10),(8,14),(9,11),(9,12),(11,13),(12,13),(13,14),(14,10)],15)
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[3,2,7,6,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,13),(5,8),(6,13),(6,16),(7,14),(7,16),(9,12),(10,9),(11,9),(12,8),(13,10),(14,11),(15,12),(16,10),(16,11)],17)
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[3,2,7,4,6,5,1]=>([(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),(9,12),(10,13),(12,10),(13,11)],14)
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[3,2,7,5,4,6,1]=>([(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),(9,12),(10,13),(12,10),(13,11)],14)
[.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[3,2,7,4,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(12,14),(13,12),(14,11)],15)
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[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)
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[4,3,2,5,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,13),(5,8),(6,11),(6,12),(7,13),(7,14),(9,11),(10,8),(11,10),(12,10),(13,9),(14,9),(15,12)],16)
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[4,3,2,6,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,14),(3,13),(4,15),(5,15),(6,8),(7,13),(7,14),(9,10),(10,11),(11,8),(12,11),(13,9),(14,9),(15,10),(15,12)],16)
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[4,3,2,7,6,5,1]=>([(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),(6,15),(7,12),(7,13),(9,11),(10,11),(11,8),(12,9),(13,9),(14,10),(15,10)],16)
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[4,3,2,7,5,6,1]=>([(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),(13,14),(14,12)],15)
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[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)
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[4,2,3,5,7,6,1]=>([(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)
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[4,2,3,6,5,7,1]=>([(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)
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[4,2,3,7,6,5,1]=>([(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),(13,14),(14,12)],15)
[.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[4,2,3,7,5,6,1]=>([(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)
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[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)
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[5,3,4,2,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,12),(6,11),(7,10),(8,14),(9,11),(9,12),(11,13),(12,13),(13,14),(14,10)],15)
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[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)
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[5,4,3,2,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,13),(5,8),(6,13),(6,16),(7,14),(7,16),(9,12),(10,9),(11,9),(12,8),(13,10),(14,11),(15,12),(16,10),(16,11)],17)
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[5,2,4,3,6,7,1]=>([(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)
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[5,2,4,3,7,6,1]=>([(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),(9,12),(10,13),(12,10),(13,11)],14)
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[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)
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[5,3,2,4,7,6,1]=>([(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),(9,12),(10,13),(12,10),(13,11)],14)
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[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)
[.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[5,2,3,4,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(12,14),(13,12),(14,11)],15)
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[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)
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[6,3,5,4,2,7,1]=>([(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)
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[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)
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[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)
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[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)
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[6,2,4,5,3,7,1]=>([(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)
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[6,2,5,4,3,7,1]=>([(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)
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[6,3,2,5,4,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,13),(9,13),(11,10),(12,11),(13,12)],14)
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[6,2,3,5,4,7,1]=>([(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),(9,11),(11,14),(12,10),(13,12),(14,13)],15)
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[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)
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[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)
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[6,2,4,3,5,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,10),(5,13),(6,9),(7,12),(8,10),(8,11),(10,14),(11,14),(12,9),(13,12),(14,13)],15)
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[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)
[.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[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)
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[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)
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[7,3,4,6,5,2,1]=>([(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)
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[7,3,5,4,6,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,13),(4,14),(5,17),(6,17),(7,14),(7,16),(9,8),(10,8),(11,15),(12,15),(13,9),(14,10),(15,13),(15,16),(16,9),(16,10),(17,11),(17,12)],18)
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[7,3,6,5,4,2,1]=>([(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)
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[7,3,6,4,5,2,1]=>([(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)
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[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)
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[7,4,3,6,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,14),(3,14),(4,13),(5,13),(6,11),(7,12),(7,16),(9,8),(10,8),(11,10),(12,9),(13,15),(14,15),(15,11),(15,16),(16,9),(16,10)],17)
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[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)
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[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)
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1]=>([(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)
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[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)
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[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)
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[7,2,4,5,6,3,1]=>([(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)
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[7,2,4,6,5,3,1]=>([(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)
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[7,2,5,4,6,3,1]=>([(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)
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1]=>([(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)
[.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1]=>([(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)
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[7,3,2,5,6,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,12),(6,11),(7,10),(8,14),(9,10),(10,14),(11,13),(12,13),(14,11),(14,12)],15)
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,13),(4,12),(5,14),(6,14),(7,12),(7,13),(9,15),(10,8),(11,8),(12,9),(13,9),(14,15),(15,10),(15,11)],16)
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[7,2,3,5,6,4,1]=>([(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)
[.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1]=>([(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)
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[7,3,4,2,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,12),(6,11),(7,10),(8,14),(9,10),(10,14),(11,13),(12,13),(14,11),(14,12)],15)
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,13),(4,12),(5,14),(6,14),(7,12),(7,13),(9,15),(10,8),(11,8),(12,9),(13,9),(14,15),(15,10),(15,11)],16)
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[7,2,4,3,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,10),(4,15),(5,15),(6,13),(7,13),(9,14),(10,14),(11,8),(12,8),(13,9),(14,11),(14,12),(15,9),(15,10)],16)
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[7,3,2,4,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,13),(3,14),(4,14),(5,12),(6,11),(7,9),(7,10),(9,15),(10,15),(11,8),(12,8),(13,10),(14,9),(15,11),(15,12)],16)
[.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[7,2,3,4,6,5,1]=>([(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)
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[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)
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[7,3,5,4,2,6,1]=>([(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)
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[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)
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[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)
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[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)
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[7,2,4,5,3,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,9),(3,12),(4,11),(5,15),(6,13),(7,13),(9,14),(10,14),(11,8),(12,8),(13,15),(14,11),(14,12),(15,9),(15,10)],16)
[.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,9),(3,12),(4,11),(5,14),(6,13),(7,13),(7,14),(9,15),(10,15),(11,8),(12,8),(13,16),(14,16),(15,11),(15,12),(16,9),(16,10)],17)
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[7,3,2,5,4,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,10),(4,15),(5,15),(6,13),(7,13),(9,14),(10,14),(11,8),(12,8),(13,9),(14,11),(14,12),(15,9),(15,10)],16)
[.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[7,2,3,5,4,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,17),(6,17),(7,14),(7,16),(9,15),(10,15),(11,9),(12,8),(13,8),(14,10),(15,12),(15,13),(16,9),(16,10),(17,11),(17,16)],18)
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[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)
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[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)
[.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[7,2,4,3,5,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,17),(6,17),(7,14),(7,16),(9,15),(10,15),(11,9),(12,8),(13,8),(14,10),(15,12),(15,13),(16,9),(16,10),(17,11),(17,16)],18)
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[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)
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[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)
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2]=>([(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)
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[1,3,4,5,7,6,2]=>([(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)
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[1,3,4,6,5,7,2]=>([(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)
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[1,3,4,7,6,5,2]=>([(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)
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[1,3,4,7,5,6,2]=>([(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)
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[1,3,5,4,6,7,2]=>([(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)
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[1,3,5,4,7,6,2]=>([(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),(8,14),(9,11),(9,14),(11,13),(12,10),(13,12),(14,13)],15)
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[1,3,6,5,4,7,2]=>([(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)
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[1,3,6,4,5,7,2]=>([(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)
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[1,3,7,5,6,4,2]=>([(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)
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[1,3,7,6,5,4,2]=>([(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)
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[1,3,7,4,6,5,2]=>([(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)
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[1,3,7,5,4,6,2]=>([(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)
[[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[1,3,7,4,5,6,2]=>([(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)
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[1,4,3,5,6,7,2]=>([(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)
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[1,4,3,5,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,13),(7,11),(7,12),(8,12),(9,11),(11,14),(12,14),(13,10),(14,13)],15)
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2]=>([(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),(8,14),(9,11),(9,14),(11,13),(12,10),(13,12),(14,13)],15)
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[1,4,3,7,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(11,12),(13,14),(14,11)],15)
[[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[1,4,3,7,5,6,2]=>([(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)
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[1,5,4,3,6,7,2]=>([(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)
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[1,5,4,3,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(11,12),(13,14),(14,11)],15)
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[1,5,3,4,6,7,2]=>([(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)
[[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[1,5,3,4,7,6,2]=>([(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)
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[1,6,4,5,3,7,2]=>([(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)
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[1,6,5,4,3,7,2]=>([(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)
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[1,6,3,5,4,7,2]=>([(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)
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[1,6,4,3,5,7,2]=>([(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)
[[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[1,6,3,4,5,7,2]=>([(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)
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[1,7,4,5,6,3,2]=>([(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)
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[1,7,4,6,5,3,2]=>([(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)
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[1,7,5,4,6,3,2]=>([(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)
[[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2]=>([(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)
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[1,7,3,5,6,4,2]=>([(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)
[[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2]=>([(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)
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,14),(9,14),(10,13),(11,13),(13,12),(14,10),(14,11)],15)
[[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2]=>([(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)
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[1,7,4,5,3,6,2]=>([(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)
[[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2]=>([(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)
[[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2]=>([(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),(7,8),(9,8),(10,14),(11,14),(12,9),(13,9),(14,12),(14,13),(15,10),(15,11)],16)
[[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2]=>([(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)
[[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]=>([(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)
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,13),(6,16),(7,14),(7,16),(9,12),(10,9),(11,9),(12,8),(13,10),(14,11),(15,8),(16,10),(16,11)],17)
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[2,1,4,5,7,6,3]=>([(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),(12,13),(14,12)],15)
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[2,1,4,6,5,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,13),(9,10),(9,11),(10,14),(11,14),(12,13),(14,12)],15)
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[2,1,4,7,6,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,14),(9,14),(10,13),(11,12),(12,13),(14,11)],15)
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[2,1,4,7,5,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,13),(9,12),(10,13),(11,10),(12,11)],14)
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[2,1,5,4,6,7,3]=>([(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),(12,13),(14,12)],15)
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[2,1,5,4,7,6,3]=>([(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),(8,13),(9,12),(10,12),(11,13),(12,11)],14)
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[2,1,6,5,4,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,14),(9,14),(10,13),(11,12),(12,13),(14,11)],15)
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[2,1,6,4,5,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,13),(9,12),(10,13),(11,10),(12,11)],14)
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[2,1,7,5,6,4,3]=>([(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),(9,11),(10,11),(11,8),(12,10),(13,9),(14,8),(15,9),(15,10),(16,12),(16,15)],17)
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[2,1,7,6,5,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,14),(5,14),(5,18),(6,15),(6,19),(7,18),(7,19),(9,13),(10,13),(11,9),(12,10),(13,8),(14,11),(15,12),(16,8),(17,9),(17,10),(18,11),(18,17),(19,12),(19,17)],20)
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[2,1,7,4,6,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,14),(9,12),(10,13),(11,13),(12,10),(12,11),(13,14)],15)
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[2,1,7,5,4,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,14),(9,12),(10,13),(11,13),(12,10),(12,11),(13,14)],15)
[[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,13),(4,12),(5,14),(6,14),(7,12),(7,13),(9,8),(10,9),(11,9),(12,15),(13,15),(14,8),(15,10),(15,11)],16)
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3]=>([(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)
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3]=>([(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)
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3]=>([(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)
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[1,2,4,7,6,5,3]=>([(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)
[[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3]=>([(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)
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3]=>([(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)
[[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3]=>([(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),(7,12),(8,14),(9,14),(10,13),(11,12),(12,13),(14,11)],15)
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[1,2,6,5,4,7,3]=>([(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)
[[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3]=>([(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)
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[1,2,7,5,6,4,3]=>([(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)
[[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3]=>([(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)
[[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]=>([(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)
[[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3]=>([(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)
[[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]=>([(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)
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4]=>([(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)
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[2,3,1,5,7,6,4]=>([(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),(10,13),(11,13),(12,10)],14)
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[2,3,1,6,5,7,4]=>([(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),(10,13),(11,13),(12,10)],14)
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[2,3,1,7,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,13),(6,16),(7,14),(7,16),(9,11),(10,11),(11,8),(12,8),(13,9),(14,10),(15,12),(16,9),(16,10)],17)
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[2,3,1,7,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,12),(9,10),(9,11),(10,13),(11,13),(12,14),(13,14)],15)
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[3,2,1,5,6,7,4]=>([(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)
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[3,2,1,5,7,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,12),(12,14),(13,14)],15)
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[3,2,1,6,5,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,12),(12,14),(13,14)],15)
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[3,2,1,7,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,16),(4,15),(5,15),(5,16),(6,13),(6,17),(7,14),(7,17),(9,11),(10,11),(11,8),(12,8),(13,9),(14,10),(15,12),(16,12),(17,9),(17,10)],18)
[[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,14),(4,13),(5,15),(6,15),(7,13),(7,14),(9,8),(10,8),(11,9),(12,9),(13,10),(14,10),(15,11),(15,12)],16)
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,14),(4,13),(5,15),(6,15),(7,13),(7,14),(9,11),(10,8),(11,10),(12,8),(13,9),(14,9),(15,10),(15,12)],16)
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[1,3,2,5,7,6,4]=>([(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),(8,14),(9,12),(10,14),(11,13),(12,10),(14,13)],15)
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[1,3,2,6,5,7,4]=>([(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),(8,14),(9,12),(10,14),(11,13),(12,10),(14,13)],15)
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[1,3,2,7,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,17),(3,17),(4,15),(5,14),(6,14),(6,16),(7,15),(7,16),(9,12),(10,9),(11,9),(12,8),(13,8),(14,10),(15,11),(16,10),(16,11),(17,12),(17,13)],18)
[[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[1,3,2,7,5,6,4]=>([(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),(7,15),(9,10),(10,8),(11,9),(12,9),(13,8),(14,11),(14,12),(15,10),(15,13)],16)
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[2,1,3,5,6,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,10),(6,11),(7,13),(7,14),(9,12),(10,8),(11,8),(12,10),(13,9),(14,9),(15,11)],16)
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[2,1,3,5,7,6,4]=>([(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),(8,13),(9,11),(10,14),(11,14),(12,10),(13,12)],15)
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[2,1,3,6,5,7,4]=>([(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),(8,13),(9,11),(10,14),(11,14),(12,10),(13,12)],15)
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[2,1,3,7,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,14),(5,12),(5,13),(6,14),(6,17),(7,15),(7,17),(9,12),(10,9),(11,9),(12,8),(13,8),(14,10),(15,11),(16,13),(17,10),(17,11)],18)
[[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,13),(4,12),(5,15),(6,15),(7,10),(7,11),(9,10),(10,8),(11,8),(12,9),(13,9),(14,11),(15,12),(15,13)],16)
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]=>([(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)
[[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]=>([(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)
[[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]=>([(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)
[[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]=>([(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)
[[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]=>([(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)
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5]=>([(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)
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[2,3,4,1,7,6,5]=>([(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)
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[2,4,3,1,6,7,5]=>([(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),(10,13),(11,13),(12,10)],14)
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[2,4,3,1,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,12),(12,14),(13,14)],15)
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[3,2,4,1,6,7,5]=>([(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),(10,13),(11,13),(12,10)],14)
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[3,2,4,1,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,12),(12,14),(13,14)],15)
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[4,3,2,1,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,13),(6,16),(7,14),(7,16),(9,11),(10,11),(11,8),(12,8),(13,9),(14,10),(15,12),(16,9),(16,10)],17)
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,16),(4,15),(5,15),(5,16),(6,13),(6,17),(7,14),(7,17),(9,11),(10,11),(11,8),(12,8),(13,9),(14,10),(15,12),(16,12),(17,9),(17,10)],18)
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,12),(9,10),(9,11),(10,13),(11,13),(12,14),(13,14)],15)
[[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,14),(4,13),(5,15),(6,15),(7,13),(7,14),(9,8),(10,8),(11,9),(12,9),(13,10),(14,10),(15,11),(15,12)],16)
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5]=>([(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)
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,15),(7,12),(7,13),(9,10),(10,8),(11,8),(12,9),(13,9),(14,15),(15,10),(15,11)],16)
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,13),(4,12),(5,14),(6,14),(7,12),(7,13),(9,8),(10,9),(11,8),(12,15),(13,15),(14,10),(15,9),(15,11)],16)
[[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5]=>([(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),(9,10),(10,8),(11,8),(12,9),(13,9),(14,16),(15,16),(16,10),(16,11)],17)
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5]=>([(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),(8,12),(9,12),(9,14),(10,11),(11,14),(12,13),(14,13)],15)
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,13),(4,12),(5,15),(6,15),(7,12),(7,13),(9,10),(10,8),(11,8),(12,9),(13,9),(14,11),(15,10),(15,11)],16)
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5]=>([(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)
[[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,17),(3,14),(4,13),(5,15),(6,13),(6,14),(7,15),(7,16),(9,11),(10,9),(11,8),(12,8),(13,10),(14,10),(15,12),(16,11),(16,12),(17,9),(17,16)],18)
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5]=>([(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)
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[2,3,1,4,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,10),(6,11),(7,13),(7,14),(9,11),(10,8),(11,8),(12,10),(13,9),(14,9),(15,12)],16)
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[3,2,1,4,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,10),(6,11),(7,13),(7,14),(9,11),(10,8),(11,8),(12,10),(13,9),(14,9),(15,12)],16)
[[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,16),(4,15),(5,11),(5,12),(6,15),(6,16),(7,13),(7,14),(9,11),(10,12),(11,8),(12,8),(13,9),(14,9),(15,10),(16,10)],17)
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5]=>([(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)
[[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,17),(3,17),(4,15),(5,14),(6,14),(6,15),(7,12),(7,16),(9,12),(10,8),(11,8),(12,11),(13,10),(14,9),(15,9),(16,10),(16,11),(17,13),(17,16)],18)
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5]=>([(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)
[[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,14),(5,14),(5,15),(6,13),(6,17),(7,12),(7,17),(9,12),(10,8),(11,8),(12,11),(13,10),(14,9),(15,9),(16,13),(17,10),(17,11)],18)
[[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]=>([(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)
[[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]=>([(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)
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,13),(6,16),(7,14),(7,16),(9,12),(10,9),(11,9),(12,8),(13,10),(14,11),(15,8),(16,10),(16,11)],17)
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[2,3,5,4,1,7,6]=>([(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),(12,13),(14,12)],15)
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[2,4,3,5,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,13),(9,10),(9,11),(10,14),(11,14),(12,13),(14,12)],15)
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[2,5,4,3,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,14),(9,14),(10,13),(11,12),(12,13),(14,11)],15)
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[2,5,3,4,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,13),(9,12),(10,13),(11,10),(12,11)],14)
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[3,2,4,5,1,7,6]=>([(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),(12,13),(14,12)],15)
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[3,2,5,4,1,7,6]=>([(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),(11,13),(12,11)],14)
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[4,3,2,5,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,14),(9,14),(10,13),(11,12),(12,13),(14,11)],15)
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[4,2,3,5,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,13),(9,12),(10,13),(11,10),(12,11)],14)
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[5,3,4,2,1,7,6]=>([(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),(9,11),(10,11),(11,8),(12,10),(13,9),(14,8),(15,9),(15,10),(16,12),(16,15)],17)
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,14),(5,14),(5,18),(6,15),(6,19),(7,18),(7,19),(9,13),(10,13),(11,9),(12,10),(13,8),(14,11),(15,12),(16,8),(17,9),(17,10),(18,11),(18,17),(19,12),(19,17)],20)
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[5,2,4,3,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,14),(9,12),(10,13),(11,13),(12,10),(12,11),(13,14)],15)
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[5,3,2,4,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,14),(9,12),(10,13),(11,13),(12,10),(12,11),(13,14)],15)
[[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,13),(4,12),(5,14),(6,14),(7,12),(7,13),(9,8),(10,9),(11,9),(12,15),(13,15),(14,8),(15,10),(15,11)],16)
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,15),(7,12),(7,13),(9,15),(10,8),(11,8),(12,9),(13,9),(14,10),(15,10),(15,11)],16)
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[1,3,5,4,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,14),(9,12),(10,13),(11,10),(11,14),(12,11),(14,13)],15)
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[1,4,3,5,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,14),(9,12),(10,13),(11,10),(11,14),(12,11),(14,13)],15)
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[1,5,4,3,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,13),(6,17),(7,14),(7,17),(9,16),(10,16),(11,8),(12,8),(13,9),(14,10),(15,11),(16,11),(16,12),(17,9),(17,10)],18)
[[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[1,5,3,4,2,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,12),(4,15),(5,15),(6,13),(7,13),(9,8),(10,14),(11,14),(12,8),(13,9),(14,9),(14,12),(15,10),(15,11)],16)
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6]=>([(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),(8,14),(9,13),(10,11),(11,13),(11,14),(13,12),(14,12)],15)
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[2,1,5,4,3,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,13),(3,14),(4,14),(5,12),(6,11),(7,11),(7,12),(9,8),(10,8),(11,15),(12,15),(13,10),(14,9),(15,9),(15,10)],16)
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6]=>([(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)
[[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[1,2,5,4,3,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,12),(6,17),(7,13),(7,14),(9,11),(10,8),(11,8),(12,10),(13,16),(14,16),(15,9),(16,9),(16,17),(17,10),(17,11)],18)
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6]=>([(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),(8,12),(9,12),(9,14),(10,11),(11,14),(12,13),(14,13)],15)
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,13),(4,12),(5,15),(6,15),(7,12),(7,13),(9,10),(10,8),(11,8),(12,9),(13,9),(14,11),(15,10),(15,11)],16)
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,13),(3,12),(4,15),(5,15),(6,16),(7,16),(9,10),(10,8),(11,8),(12,11),(13,9),(14,10),(14,11),(15,9),(15,14),(16,12),(16,14)],17)
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,13),(4,13),(5,14),(6,14),(7,12),(7,15),(9,10),(10,8),(11,8),(12,11),(13,9),(14,12),(15,10),(15,11),(16,9),(16,15)],17)
[[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,15),(5,14),(6,17),(6,18),(7,14),(7,18),(9,12),(10,9),(11,13),(12,8),(13,8),(14,11),(15,10),(16,12),(16,13),(17,9),(17,16),(18,11),(18,16),(19,10),(19,17)],20)
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,10),(6,11),(7,13),(7,14),(9,12),(10,8),(11,8),(12,10),(13,9),(14,9),(15,11)],16)
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[2,4,3,1,5,7,6]=>([(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),(8,13),(9,11),(10,14),(11,14),(12,10),(13,12)],15)
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[3,2,4,1,5,7,6]=>([(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),(8,13),(9,11),(10,14),(11,14),(12,10),(13,12)],15)
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,14),(5,12),(5,13),(6,14),(6,17),(7,15),(7,17),(9,12),(10,9),(11,9),(12,8),(13,8),(14,10),(15,11),(16,13),(17,10),(17,11)],18)
[[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,13),(4,12),(5,15),(6,15),(7,10),(7,11),(9,10),(10,8),(11,8),(12,9),(13,9),(14,11),(15,12),(15,13)],16)
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6]=>([(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)
[[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,11),(6,17),(7,13),(7,14),(9,8),(10,8),(11,10),(12,9),(13,16),(14,16),(15,11),(16,12),(16,17),(17,9),(17,10)],18)
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,13),(4,13),(5,14),(6,14),(7,12),(7,15),(9,10),(10,8),(11,8),(12,11),(13,9),(14,12),(15,10),(15,11),(16,9),(16,15)],17)
[[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,15),(5,14),(6,13),(6,17),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,13),(16,11),(16,12),(17,9),(17,16),(18,10),(18,16),(19,17),(19,18)],20)
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6]=>([(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)
[[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,14),(5,14),(5,15),(6,13),(6,17),(7,12),(7,17),(9,12),(10,8),(11,8),(12,11),(13,10),(14,9),(15,9),(16,13),(17,10),(17,11)],18)
[[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,15),(5,14),(6,17),(6,18),(7,13),(7,18),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,13),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,14),(19,17)],20)
[[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,16),(4,16),(5,14),(5,19),(6,13),(6,18),(7,18),(7,19),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,13),(16,14),(17,11),(17,12),(18,9),(18,17),(19,10),(19,17)],20)
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[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)
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7]=>([(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)
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[2,3,5,4,6,1,7]=>([(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)
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[2,3,6,5,4,1,7]=>([(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)
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7]=>([(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)
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[2,4,3,5,6,1,7]=>([(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)
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[2,4,3,6,5,1,7]=>([(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),(8,14),(9,11),(9,14),(11,13),(12,10),(13,12),(14,13)],15)
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[2,5,4,3,6,1,7]=>([(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)
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[2,5,3,4,6,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,10),(5,9),(6,13),(7,12),(8,13),(10,14),(11,14),(12,9),(13,10),(13,11),(14,12)],15)
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7]=>([(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)
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7]=>([(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)
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[2,6,3,5,4,1,7]=>([(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)
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[2,6,4,3,5,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,10),(4,11),(5,12),(6,13),(7,9),(8,13),(10,12),(11,10),(12,9),(13,11)],14)
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7]=>([(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)
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[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)
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[3,2,4,6,5,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,10),(6,13),(7,11),(7,12),(8,12),(9,11),(11,14),(12,14),(13,10),(14,13)],15)
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[3,2,5,4,6,1,7]=>([(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),(8,14),(9,11),(9,14),(11,13),(12,10),(13,12),(14,13)],15)
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[3,2,6,5,4,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(11,12),(13,14),(14,11)],15)
[[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[3,2,6,4,5,1,7]=>([(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),(9,11),(11,13),(12,10),(13,12)],14)
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[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)
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[4,3,2,6,5,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,10),(4,9),(5,8),(6,8),(7,9),(7,10),(8,14),(9,13),(10,13),(11,12),(13,14),(14,11)],15)
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[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)
[[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[4,2,3,6,5,1,7]=>([(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),(9,11),(11,13),(12,10),(13,12)],14)
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[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)
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[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)
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[5,2,4,3,6,1,7]=>([(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)
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[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)
[[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[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)
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[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)
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7]=>([(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)
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[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)
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[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)
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[6,2,4,5,3,1,7]=>([(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)
[[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7]=>([(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)
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[6,3,2,5,4,1,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,14),(9,14),(10,13),(11,13),(13,12),(14,10),(14,11)],15)
[[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[6,2,3,5,4,1,7]=>([(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)
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[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)
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[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)
[[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[6,2,4,3,5,1,7]=>([(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),(7,8),(9,8),(10,14),(11,14),(12,9),(13,9),(14,12),(14,13),(15,10),(15,11)],16)
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[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)
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[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)
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7]=>([(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)
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[1,3,4,6,5,2,7]=>([(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),(9,15),(10,9),(11,8),(12,8),(13,9),(14,10),(15,11),(15,12)],16)
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[1,3,5,4,6,2,7]=>([(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)
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[1,3,6,5,4,2,7]=>([(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)
[[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[1,3,6,4,5,2,7]=>([(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)
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7]=>([(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),(9,15),(10,9),(11,8),(12,8),(13,9),(14,10),(15,11),(15,12)],16)
[[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,10),(7,12),(8,14),(9,14),(10,13),(11,13),(12,10),(12,11),(14,12)],15)
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[1,5,4,3,6,2,7]=>([(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)
[[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7]=>([(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)
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[1,6,4,5,3,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,17),(6,17),(7,14),(7,16),(9,15),(10,15),(11,9),(12,8),(13,8),(14,10),(15,12),(15,13),(16,9),(16,10),(17,11),(17,16)],18)
[[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]=>([(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)
[[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,9),(3,12),(4,11),(5,15),(6,13),(7,13),(9,14),(10,14),(11,8),(12,8),(13,15),(14,11),(14,12),(15,9),(15,10)],16)
[[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,9),(3,12),(4,11),(5,15),(6,13),(7,13),(9,14),(10,14),(11,8),(12,8),(13,15),(14,11),(14,12),(15,9),(15,10)],16)
[[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,9),(3,12),(4,11),(5,14),(6,13),(7,13),(7,14),(9,15),(10,15),(11,8),(12,8),(13,16),(14,16),(15,11),(15,12),(16,9),(16,10)],17)
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[2,1,4,5,6,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,15),(7,12),(7,13),(9,15),(10,8),(11,8),(12,9),(13,9),(14,10),(15,10),(15,11)],16)
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[2,1,4,6,5,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,14),(9,12),(10,13),(11,10),(11,14),(12,11),(14,13)],15)
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[2,1,5,4,6,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,8),(4,8),(5,11),(6,12),(7,10),(8,14),(9,12),(10,13),(11,10),(11,14),(12,11),(14,13)],15)
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[2,1,6,5,4,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,13),(6,17),(7,14),(7,17),(9,16),(10,16),(11,8),(12,8),(13,9),(14,10),(15,11),(16,11),(16,12),(17,9),(17,10)],18)
[[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[2,1,6,4,5,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,12),(4,15),(5,15),(6,13),(7,13),(9,8),(10,14),(11,14),(12,8),(13,9),(14,9),(14,12),(15,10),(15,11)],16)
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]=>([(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)
[[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]=>([(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)
[[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]=>([(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)
[[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]=>([(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)
[[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,13),(4,14),(5,17),(6,17),(7,14),(7,16),(9,8),(10,8),(11,15),(12,15),(13,9),(14,10),(15,13),(15,16),(16,9),(16,10),(17,11),(17,12)],18)
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7]=>([(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)
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[2,3,1,6,5,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,11),(3,13),(4,12),(5,14),(6,14),(7,12),(7,13),(9,8),(10,9),(11,8),(12,15),(13,15),(14,10),(15,9),(15,11)],16)
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[3,2,1,5,6,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,15),(7,12),(7,13),(9,10),(10,8),(11,8),(12,9),(13,9),(14,15),(15,10),(15,11)],16)
[[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[3,2,1,6,5,4,7]=>([(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),(9,10),(10,8),(11,8),(12,9),(13,9),(14,16),(15,16),(16,10),(16,11)],17)
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7]=>([(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)
[[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[1,3,2,6,5,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,14),(4,13),(5,17),(6,17),(7,13),(7,14),(9,8),(10,8),(11,9),(12,10),(13,15),(14,15),(15,12),(15,16),(16,9),(16,10),(17,11),(17,16)],18)
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7]=>([(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)
[[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[2,1,3,6,5,4,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,11),(6,17),(7,13),(7,14),(9,8),(10,8),(11,10),(12,9),(13,16),(14,16),(15,11),(16,12),(16,17),(17,9),(17,10)],18)
[[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]=>([(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)
[[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]=>([(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)
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[2,3,4,1,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,14),(4,13),(5,15),(6,15),(7,13),(7,14),(9,11),(10,8),(11,10),(12,8),(13,9),(14,9),(15,10),(15,12)],16)
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[2,4,3,1,6,5,7]=>([(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),(8,14),(9,12),(10,14),(11,13),(12,10),(14,13)],15)
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[3,2,4,1,6,5,7]=>([(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),(8,14),(9,12),(10,14),(11,13),(12,10),(14,13)],15)
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[4,3,2,1,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,17),(3,17),(4,15),(5,14),(6,14),(6,16),(7,15),(7,16),(9,12),(10,9),(11,9),(12,8),(13,8),(14,10),(15,11),(16,10),(16,11),(17,12),(17,13)],18)
[[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7]=>([(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),(7,15),(9,10),(10,8),(11,9),(12,9),(13,8),(14,11),(14,12),(15,10),(15,13)],16)
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7]=>([(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)
[[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[1,4,3,2,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,14),(4,13),(5,17),(6,17),(7,13),(7,14),(9,8),(10,8),(11,9),(12,10),(13,15),(14,15),(15,12),(15,16),(16,9),(16,10),(17,11),(17,16)],18)
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,13),(3,12),(4,15),(5,15),(6,16),(7,16),(9,10),(10,8),(11,8),(12,11),(13,9),(14,10),(14,11),(15,9),(15,14),(16,12),(16,14)],17)
[[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,14),(4,18),(5,18),(6,13),(7,14),(7,17),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,10),(15,16),(16,11),(16,12),(17,9),(17,16),(18,15),(18,17),(19,13),(19,15)],20)
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>([(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)
[[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,17),(3,17),(4,15),(5,14),(6,14),(6,15),(7,12),(7,16),(9,12),(10,8),(11,8),(12,11),(13,10),(14,9),(15,9),(16,10),(16,11),(17,13),(17,16)],18)
[[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,18),(2,18),(3,19),(4,19),(5,14),(6,13),(7,16),(7,17),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,11),(15,12),(16,9),(16,15),(17,10),(17,15),(18,13),(18,16),(19,14),(19,17)],20)
[[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,15),(5,14),(6,17),(6,18),(7,13),(7,18),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,13),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,14),(19,17)],20)
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[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)
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7]=>([(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)
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[2,4,3,5,1,6,7]=>([(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)
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[2,5,4,3,1,6,7]=>([(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)
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[2,5,3,4,1,6,7]=>([(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)
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[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)
[[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[3,2,5,4,1,6,7]=>([(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),(7,12),(8,14),(9,14),(10,13),(11,12),(12,13),(14,11)],15)
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[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)
[[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[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)
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[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)
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[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)
[[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[5,2,4,3,1,6,7]=>([(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)
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[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)
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[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)
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,17),(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)
[[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]=>([(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)
[[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]=>([(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)
[[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]=>([(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)
[[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,11),(3,13),(4,14),(5,17),(6,17),(7,14),(7,16),(9,8),(10,8),(11,15),(12,15),(13,9),(14,10),(15,13),(15,16),(16,9),(16,10),(17,11),(17,12)],18)
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7]=>([(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)
[[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[2,1,5,4,3,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,15),(3,15),(4,14),(5,13),(6,12),(6,17),(7,13),(7,14),(9,11),(10,8),(11,8),(12,10),(13,16),(14,16),(15,9),(16,9),(16,17),(17,10),(17,11)],18)
[[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]=>([(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)
[[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,15),(3,14),(4,13),(5,15),(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)
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7]=>([(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)
[[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,17),(2,17),(3,14),(4,13),(5,15),(6,13),(6,14),(7,15),(7,16),(9,11),(10,9),(11,8),(12,8),(13,10),(14,10),(15,12),(16,11),(16,12),(17,9),(17,16)],18)
[[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,14),(4,18),(5,18),(6,13),(7,14),(7,17),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,10),(15,16),(16,11),(16,12),(17,9),(17,16),(18,15),(18,17),(19,13),(19,15)],20)
[[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,15),(5,14),(6,13),(6,17),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,13),(16,11),(16,12),(17,9),(17,16),(18,10),(18,16),(19,17),(19,18)],20)
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[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)
[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7]=>([(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)
[[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[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)
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[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)
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[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)
[[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]=>([(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)
[[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]=>([(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)
[[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,19),(3,15),(4,15),(5,14),(6,17),(6,18),(7,14),(7,18),(9,12),(10,9),(11,13),(12,8),(13,8),(14,11),(15,10),(16,12),(16,13),(17,9),(17,16),(18,11),(18,16),(19,10),(19,17)],20)
[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[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)
[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[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)
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[2,3,4,8,6,7,5,1]=>([(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),(6,9),(7,17),(7,18),(8,14),(8,18),(10,14),(11,13),(12,13),(13,9),(14,12),(15,10),(16,10),(17,11),(18,11),(18,12),(19,15),(19,16)],20)
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[2,3,4,8,7,6,5,1]=>([(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)
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[5,7,6,8,4,3,2,1]=>[2,3,4,8,5,7,6,1]=>([(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),(10,12),(11,12),(12,9),(13,11),(14,15),(15,13),(16,10),(17,14),(18,10),(18,11)],19)
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[2,3,4,8,6,5,7,1]=>([(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),(10,12),(11,12),(12,9),(13,11),(14,15),(15,13),(16,10),(17,14),(18,10),(18,11)],19)
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[2,3,4,8,5,6,7,1]=>([(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)
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[4,6,8,7,5,3,2,1]=>[2,3,5,4,7,6,8,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,21),(2,21),(3,16),(4,20),(5,20),(6,15),(7,9),(8,16),(8,19),(10,12),(11,14),(12,14),(13,11),(14,9),(15,13),(16,10),(17,13),(17,18),(18,11),(18,12),(19,10),(19,18),(20,17),(20,19),(21,15),(21,17)],22)
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[4,5,6,8,7,3,2,1]=>[2,3,7,4,5,6,8,1]=>([(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)
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[3,7,8,6,5,4,2,1]=>[2,4,3,5,6,8,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,21),(2,21),(3,17),(4,17),(5,16),(6,9),(7,19),(7,20),(8,15),(8,20),(10,12),(11,13),(12,14),(13,14),(14,9),(15,10),(16,11),(17,15),(18,12),(18,13),(19,11),(19,18),(20,10),(20,18),(21,16),(21,19)],22)
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[4,3,7,6,8,5,2,1]=>[2,5,4,3,8,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,9),(7,14),(7,15),(8,16),(8,17),(10,11),(11,12),(12,9),(13,12),(14,10),(15,10),(16,18),(17,18),(18,11),(18,13)],19)
[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[3,4,6,7,8,5,2,1]=>[2,5,3,4,8,6,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,11),(6,12),(7,13),(8,14),(9,13),(10,14),(12,16),(13,15),(14,12),(14,15),(15,16),(16,11)],17)
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>[3,6,7,5,4,8,2,1]=>[2,8,3,5,7,6,4,1]=>([(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)
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[3,5,4,7,6,8,2,1]=>[2,8,3,5,4,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,11),(6,12),(7,14),(8,13),(9,16),(10,12),(10,16),(12,15),(13,11),(14,13),(15,14),(16,15)],17)
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>[4,3,5,7,6,8,2,1]=>[2,8,4,3,5,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,15),(6,11),(7,14),(8,12),(8,13),(9,13),(10,12),(12,16),(13,16),(14,11),(15,14),(16,15)],17)
[.,[.,[[[[[[.,.],.],.],.],.],.]]]=>[3,4,5,6,7,8,2,1]=>[2,8,3,4,5,6,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,18),(3,17),(4,15),(5,9),(6,17),(6,20),(7,18),(7,21),(8,20),(8,21),(10,12),(11,12),(12,15),(13,10),(14,11),(15,16),(16,9),(17,13),(18,14),(19,10),(19,11),(20,13),(20,19),(21,14),(21,19)],22)
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[2,4,6,8,7,5,3,1]=>[3,2,5,4,7,6,8,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,14),(4,17),(5,17),(6,18),(7,18),(8,9),(10,13),(11,13),(12,10),(13,9),(14,11),(15,12),(16,10),(16,11),(17,12),(17,16),(18,14),(18,16)],19)
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[2,5,4,7,8,6,3,1]=>[3,2,6,5,4,8,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,16),(4,16),(5,14),(6,13),(7,9),(8,13),(8,14),(10,12),(11,12),(12,9),(13,17),(14,17),(15,11),(16,10),(17,10),(17,11)],18)
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[2,4,6,5,8,7,3,1]=>[3,2,7,4,6,5,8,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,11),(6,12),(7,14),(8,13),(9,15),(10,13),(11,16),(13,14),(14,11),(14,15),(15,16),(16,12)],17)
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[3,2,5,6,8,7,4,1]=>[4,3,2,7,5,6,8,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,16),(3,16),(4,15),(5,14),(6,17),(7,9),(8,14),(8,15),(10,11),(11,12),(12,9),(13,12),(14,10),(15,10),(16,17),(17,11),(17,13)],18)
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[3,2,5,7,6,8,4,1]=>[4,3,2,8,5,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,12),(3,13),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,15),(10,15),(11,13),(13,14),(14,16),(15,16),(16,12)],17)
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[2,3,8,7,6,5,4,1]=>[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)
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[2,4,3,6,8,7,5,1]=>[5,2,4,3,7,6,8,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,11),(6,12),(7,13),(8,14),(9,14),(10,13),(10,15),(12,15),(13,16),(14,12),(15,16),(16,11)],17)
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[2,3,4,8,7,6,5,1]=>[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)
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,1]=>[7,2,4,3,6,5,8,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,11),(6,12),(7,14),(8,13),(9,16),(10,12),(10,16),(12,15),(13,11),(14,13),(15,14),(16,15)],17)
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[4,6,5,7,3,2,8,1]=>[8,3,7,4,6,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,14),(4,15),(5,18),(6,16),(7,16),(8,15),(8,17),(10,9),(11,9),(12,18),(13,12),(14,10),(15,11),(16,13),(17,10),(17,11),(18,14),(18,17)],19)
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[4,3,6,5,7,2,8,1]=>[8,7,4,3,6,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,16),(4,16),(5,15),(6,14),(7,14),(7,20),(8,15),(8,21),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,19),(17,19),(18,12),(18,13),(19,20),(19,21),(20,10),(20,18),(21,11),(21,18)],22)
[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[2,4,6,5,7,3,8,1]=>[8,2,7,4,6,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,11),(3,14),(4,13),(5,15),(6,15),(7,16),(8,17),(10,17),(11,10),(12,10),(13,9),(14,9),(15,16),(16,11),(16,12),(17,13),(17,14)],18)
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[3,2,6,5,7,4,8,1]=>[8,3,2,7,6,5,4,1]=>([(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),(7,15),(7,19),(8,16),(8,19),(10,12),(11,12),(12,18),(13,9),(14,9),(15,10),(16,11),(17,18),(18,13),(18,14),(19,10),(19,11)],20)
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1]=>([(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),(7,15),(7,19),(8,16),(8,19),(10,12),(11,12),(12,18),(13,9),(14,9),(15,10),(16,11),(17,18),(18,13),(18,14),(19,10),(19,11)],20)
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,8,1]=>[8,3,2,5,4,7,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,14),(4,14),(5,15),(6,15),(7,13),(8,12),(10,16),(11,16),(12,9),(13,9),(14,11),(15,10),(16,12),(16,13),(17,10),(17,11)],18)
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[1,7,6,5,4,8,3,2]=>[1,3,8,5,6,7,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,11),(4,14),(5,16),(6,15),(7,9),(8,15),(8,16),(10,11),(11,14),(12,10),(13,10),(14,9),(15,17),(16,17),(17,12),(17,13)],18)
[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[1,5,4,6,7,8,3,2]=>[1,3,8,5,4,6,7,2]=>([(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)
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[1,3,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,2]=>([(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)
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>[1,4,3,6,5,8,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,14),(11,14),(11,15),(12,13),(14,16),(15,16),(16,12)],17)
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[1,3,6,7,5,8,4,2]=>[1,4,3,8,7,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,17),(3,17),(4,16),(5,15),(6,9),(7,15),(7,18),(8,16),(8,18),(10,11),(11,14),(12,10),(13,10),(14,9),(15,12),(16,13),(17,11),(18,12),(18,13)],19)
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[1,5,4,3,6,7,8,2]=>([(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)
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[1,3,4,8,7,6,5,2]=>[1,5,3,4,6,7,8,2]=>([(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)
[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[1,4,5,3,7,8,6,2]=>[1,6,5,4,3,8,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,17),(3,17),(4,16),(5,15),(6,9),(7,15),(7,18),(8,16),(8,18),(10,11),(11,14),(12,10),(13,10),(14,9),(15,12),(16,13),(17,11),(18,12),(18,13)],19)
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[1,6,5,7,4,3,8,2]=>[1,8,4,7,6,5,3,2]=>([(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)
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[1,4,6,7,5,3,8,2]=>[1,8,5,4,7,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,16),(3,16),(4,15),(5,15),(6,13),(7,9),(8,14),(8,18),(10,12),(11,12),(12,9),(13,11),(14,10),(15,17),(16,17),(17,13),(17,18),(18,10),(18,11)],19)
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[1,5,4,7,6,3,8,2]=>[1,8,6,5,4,7,3,2]=>([(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)
[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[1,5,4,6,7,3,8,2]=>[1,8,7,5,4,6,3,2]=>([(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)
[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[1,4,3,5,6,7,8,2]=>[1,8,4,3,5,6,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,17),(3,17),(4,15),(5,14),(6,9),(7,16),(7,19),(8,13),(8,19),(10,18),(11,18),(12,9),(13,11),(14,12),(15,12),(16,10),(17,13),(18,14),(18,15),(19,10),(19,11)],20)
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,17),(5,16),(6,16),(6,20),(7,17),(7,21),(8,20),(8,21),(10,12),(11,12),(12,15),(13,10),(14,11),(15,9),(16,13),(17,14),(18,9),(19,10),(19,11),(20,13),(20,19),(21,14),(21,19)],22)
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[2,1,7,6,8,5,4,3]=>[2,1,4,5,8,7,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,16),(4,13),(5,17),(6,17),(7,14),(7,15),(8,12),(8,16),(10,12),(11,13),(12,11),(13,9),(14,10),(15,10),(16,11),(17,9)],18)
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[2,1,4,5,8,6,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,9),(4,9),(5,10),(6,11),(7,11),(8,10),(8,14),(9,16),(10,15),(11,12),(12,14),(13,16),(14,15),(15,13)],17)
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[2,1,4,6,8,7,5,3]=>[2,1,5,4,7,6,8,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,9),(4,9),(5,10),(6,10),(7,11),(8,11),(9,14),(10,15),(11,12),(11,14),(12,16),(13,15),(14,16),(16,13)],17)
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[2,1,4,6,5,8,7,3]=>[2,1,7,4,6,5,8,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,12),(6,13),(7,14),(8,11),(9,15),(10,14),(11,15),(12,13),(13,11),(14,12)],16)
[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[2,1,5,6,7,4,8,3]=>[2,1,8,7,5,6,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,21),(2,21),(3,17),(4,17),(5,16),(6,15),(7,15),(7,19),(8,16),(8,20),(10,14),(11,14),(12,10),(13,11),(14,9),(15,12),(16,13),(17,9),(18,10),(18,11),(19,12),(19,18),(20,13),(20,18),(21,19),(21,20)],22)
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,8,3]=>[2,1,8,5,4,7,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,15),(11,14),(12,16),(13,16),(15,12),(15,13),(16,14)],17)
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[1,2,4,8,7,6,5,3]=>[1,2,5,4,6,7,8,3]=>([(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)
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[1,2,5,4,8,7,6,3]=>[1,2,6,5,4,7,8,3]=>([(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)
[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[1,2,4,5,8,7,6,3]=>[1,2,6,4,5,7,8,3]=>([(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)
[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[2,3,1,5,7,8,6,4]=>[3,2,1,6,5,8,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,10),(3,10),(4,9),(5,9),(6,12),(7,11),(8,11),(8,12),(9,15),(10,15),(11,14),(12,14),(13,16),(14,16),(15,13)],17)
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]=>([(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)
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[1,2,3,7,8,6,5,4]=>[1,2,3,5,6,8,7,4]=>([(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)
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4]=>([(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)
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[1,2,3,7,6,8,5,4]=>[1,2,3,5,8,7,6,4]=>([(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)
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[1,2,3,6,7,8,5,4]=>[1,2,3,5,8,6,7,4]=>([(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)
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4]=>([(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)
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,17),(3,17),(4,16),(5,16),(6,14),(7,15),(7,18),(8,13),(8,18),(10,14),(11,9),(12,9),(13,12),(14,13),(15,11),(16,10),(17,10),(18,11),(18,12)],19)
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[1,2,3,6,5,8,7,4]=>[1,2,3,7,6,5,8,4]=>([(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)
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[1,2,3,5,6,8,7,4]=>[1,2,3,7,5,6,8,4]=>([(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)
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,7,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,21),(3,21),(4,17),(5,18),(6,15),(6,20),(7,17),(7,20),(8,18),(8,19),(10,15),(11,10),(12,10),(13,9),(14,9),(15,13),(16,11),(17,14),(18,12),(19,11),(19,12),(20,13),(20,14),(21,16),(21,19)],22)
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,19),(3,17),(4,17),(5,15),(6,14),(7,16),(7,18),(8,13),(8,18),(10,13),(11,9),(12,9),(13,12),(14,10),(15,10),(16,11),(17,19),(18,11),(18,12),(19,14),(19,15)],20)
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,19),(3,17),(4,17),(5,15),(6,14),(7,16),(7,18),(8,13),(8,18),(10,13),(11,9),(12,9),(13,12),(14,10),(15,10),(16,11),(17,19),(18,11),(18,12),(19,14),(19,15)],20)
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]=>([(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)
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[2,3,4,1,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,12),(11,13),(12,9),(13,9),(14,10),(15,10),(16,11),(17,11)],18)
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[4,3,2,1,7,8,6,5]=>[2,3,4,1,6,8,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,12),(3,13),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,15),(10,15),(11,12),(12,14),(13,16),(14,16),(15,13)],17)
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[4,3,2,1,6,8,7,5]=>[2,3,4,1,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,12),(3,13),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,15),(10,15),(11,12),(12,14),(13,16),(14,16),(15,13)],17)
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[4,3,2,1,7,6,8,5]=>[2,3,4,1,8,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,14),(6,15),(6,16),(7,17),(7,19),(8,18),(8,19),(10,14),(11,13),(12,13),(13,9),(14,9),(15,10),(16,10),(17,11),(18,12),(19,11),(19,12)],20)
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[4,3,2,1,6,7,8,5]=>[2,3,4,1,8,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,14),(4,16),(5,15),(6,17),(7,17),(8,15),(8,16),(10,14),(11,9),(12,11),(13,11),(14,9),(15,10),(16,10),(17,12),(17,13)],18)
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[3,4,2,1,8,7,6,5]=>[2,4,3,1,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,12),(3,13),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,15),(10,15),(11,12),(12,14),(13,16),(14,16),(15,13)],17)
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[2,4,3,1,6,8,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,12),(6,11),(7,13),(8,14),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[3,4,2,1,6,8,7,5]=>[2,4,3,1,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,12),(6,11),(7,13),(8,14),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[2,4,3,1,8,7,6,5]=>[3,2,4,1,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,12),(3,13),(4,10),(5,9),(6,11),(7,11),(8,9),(8,10),(9,15),(10,15),(11,12),(12,14),(13,16),(14,16),(15,13)],17)
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[2,4,3,1,7,8,6,5]=>[3,2,4,1,6,8,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,12),(6,11),(7,13),(8,14),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[3,2,4,1,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,12),(6,11),(7,13),(8,14),(9,13),(10,14),(11,15),(12,15),(13,11),(14,12)],16)
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[2,4,3,1,7,6,8,5]=>[3,2,4,1,8,7,6,5]=>([(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),(7,15),(7,18),(8,16),(8,18),(10,12),(11,12),(12,9),(13,14),(14,9),(15,10),(16,11),(17,13),(18,10),(18,11)],19)
[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[2,4,3,1,6,7,8,5]=>[3,2,4,1,8,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,13),(6,12),(7,11),(8,14),(9,14),(10,12),(10,13),(11,16),(12,15),(13,15),(14,11),(15,16)],17)
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[3,2,4,1,8,7,6,5]=>[4,3,2,1,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,14),(6,15),(6,16),(7,17),(7,19),(8,18),(8,19),(10,14),(11,13),(12,13),(13,9),(14,9),(15,10),(16,10),(17,11),(18,12),(19,11),(19,12)],20)
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[3,2,4,1,6,8,7,5]=>[4,3,2,1,7,6,8,5]=>([(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),(7,15),(7,18),(8,16),(8,18),(10,12),(11,12),(12,9),(13,14),(14,9),(15,10),(16,11),(17,13),(18,10),(18,11)],19)
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5]=>[4,3,2,1,8,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,19),(4,18),(5,16),(5,20),(6,17),(6,20),(7,18),(7,21),(8,19),(8,21),(10,15),(11,15),(12,14),(13,14),(14,9),(15,9),(16,10),(17,11),(18,12),(19,13),(20,10),(20,11),(21,12),(21,13)],22)
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[2,3,4,1,8,7,6,5]=>[4,2,3,1,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,14),(4,16),(5,15),(6,17),(7,17),(8,15),(8,16),(10,14),(11,9),(12,11),(13,11),(14,9),(15,10),(16,10),(17,12),(17,13)],18)
[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[2,3,4,1,6,8,7,5]=>[4,2,3,1,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,13),(6,12),(7,11),(8,14),(9,14),(10,12),(10,13),(11,16),(12,15),(13,15),(14,11),(15,16)],17)
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,15),(4,14),(5,16),(6,16),(7,17),(8,17),(10,9),(11,9),(12,11),(13,11),(14,10),(15,10),(16,12),(16,13),(17,14),(17,15)],18)
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,15),(4,14),(5,16),(6,16),(7,17),(8,14),(8,15),(10,12),(11,9),(12,11),(13,9),(14,10),(15,10),(16,17),(17,11),(17,13)],18)
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[1,4,3,2,6,8,7,5]=>[1,3,4,2,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,11),(6,14),(7,12),(8,13),(9,14),(10,13),(11,16),(12,15),(13,12),(14,11),(14,15),(15,16)],17)
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[1,3,4,2,8,7,6,5]=>[1,4,3,2,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,12),(11,9),(12,11),(13,9),(14,10),(15,10),(16,18),(17,18),(18,11),(18,13)],19)
[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[1,3,4,2,6,8,7,5]=>[1,4,3,2,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,12),(3,13),(4,15),(5,14),(6,16),(7,16),(8,14),(8,15),(10,9),(11,12),(12,10),(13,9),(14,17),(15,17),(16,11),(17,10),(17,13)],18)
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,16),(3,16),(4,15),(5,14),(6,17),(7,17),(8,14),(8,15),(10,13),(11,9),(12,9),(13,11),(14,10),(15,10),(16,12),(17,11),(17,12)],18)
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[2,1,4,3,6,8,7,5]=>([(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),(9,14),(10,14),(10,15),(11,12),(12,13),(13,15),(14,16),(15,16)],17)
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,7,6,8,5]=>([(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),(9,14),(10,14),(10,15),(11,12),(12,13),(13,15),(14,16),(15,16)],17)
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,7,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,17),(4,17),(5,16),(6,15),(7,15),(7,18),(8,16),(8,18),(10,13),(11,10),(12,10),(13,9),(14,9),(15,11),(16,12),(17,14),(18,11),(18,12),(19,13),(19,14)],20)
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,6,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,14),(4,13),(5,16),(6,16),(7,17),(8,17),(10,11),(11,9),(12,9),(13,10),(14,10),(15,12),(16,11),(16,12),(17,13),(17,14)],18)
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,19),(3,19),(4,16),(5,15),(6,17),(7,15),(7,16),(8,17),(8,18),(10,12),(11,14),(12,9),(13,9),(14,10),(15,11),(16,11),(17,13),(18,12),(18,13),(19,10),(19,18)],20)
[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[1,2,4,3,6,8,7,5]=>[1,2,4,3,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,15),(3,18),(4,18),(5,16),(6,16),(7,13),(8,15),(8,17),(10,11),(11,9),(12,9),(13,14),(14,10),(15,12),(16,13),(17,11),(17,12),(18,10),(18,17)],19)
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[3,2,1,4,8,7,6,5]=>[2,3,1,4,6,7,8,5]=>([(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),(7,15),(7,16),(8,11),(8,12),(10,13),(11,9),(12,9),(13,11),(14,12),(15,10),(16,10),(17,14)],18)
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[3,2,1,4,6,8,7,5]=>[2,3,1,4,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,14),(6,15),(7,13),(8,11),(8,12),(9,14),(10,15),(11,16),(12,16),(13,12),(14,13),(15,11)],17)
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[2,3,1,4,8,7,6,5]=>[3,2,1,4,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,14),(6,15),(6,16),(7,17),(7,18),(8,12),(8,13),(10,13),(11,14),(12,9),(13,9),(14,12),(15,10),(16,10),(17,11),(18,11)],19)
[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>[2,3,1,4,6,8,7,5]=>[3,2,1,4,7,6,8,5]=>([(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),(7,15),(7,16),(8,11),(8,12),(10,12),(11,9),(12,9),(13,14),(14,11),(15,10),(16,10),(17,13)],18)
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,19),(4,19),(5,14),(6,15),(7,16),(7,17),(8,13),(8,18),(10,14),(11,9),(12,9),(13,11),(14,13),(15,12),(16,10),(17,10),(18,11),(18,12),(19,15),(19,18)],20)
[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[1,3,2,4,6,8,7,5]=>[1,3,2,4,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,16),(5,16),(6,13),(7,14),(8,12),(8,17),(10,9),(11,9),(12,10),(13,11),(14,15),(15,12),(16,14),(17,10),(17,11),(18,13),(18,17)],19)
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,6,7,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,17),(5,16),(6,16),(6,17),(7,14),(7,19),(8,13),(8,19),(10,15),(11,9),(12,9),(13,12),(14,11),(15,13),(16,10),(17,10),(18,14),(19,11),(19,12)],20)
[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[2,1,3,4,6,8,7,5]=>[2,1,3,4,7,6,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,15),(4,16),(5,16),(6,14),(7,13),(7,18),(8,12),(8,18),(10,9),(11,9),(12,11),(13,10),(14,15),(15,13),(16,12),(17,14),(18,10),(18,11)],19)
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]=>([(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)
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[5,4,3,2,1,7,8,6]=>[2,3,4,5,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,14),(6,15),(6,16),(7,17),(7,19),(8,18),(8,19),(10,14),(11,10),(12,10),(13,9),(14,9),(15,13),(16,13),(17,11),(18,12),(19,11),(19,12)],20)
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>[4,5,3,2,1,7,8,6]=>[2,3,5,4,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,16),(4,13),(5,17),(6,17),(7,14),(7,15),(8,12),(8,16),(10,13),(11,9),(12,10),(13,9),(14,11),(15,11),(16,10),(17,12)],18)
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[3,5,4,2,1,7,8,6]=>[2,4,3,5,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,14),(4,16),(5,15),(6,17),(7,17),(8,15),(8,16),(10,14),(11,9),(12,10),(13,10),(14,9),(15,11),(16,11),(17,12),(17,13)],18)
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[4,3,5,2,1,7,8,6]=>[2,5,4,3,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,12),(11,9),(12,13),(13,9),(14,11),(15,11),(16,10),(17,10)],18)
[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[3,4,5,2,1,7,8,6]=>[2,5,3,4,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,14),(4,11),(5,10),(6,9),(7,9),(8,10),(8,11),(9,12),(10,15),(11,15),(12,14),(13,16),(14,13),(15,16)],17)
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>[2,5,4,3,1,7,8,6]=>[3,2,4,5,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,16),(4,13),(5,17),(6,17),(7,14),(7,15),(8,12),(8,16),(10,13),(11,9),(12,10),(13,9),(14,11),(15,11),(16,10),(17,12)],18)
[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[2,4,5,3,1,7,8,6]=>[3,2,5,4,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,10),(3,10),(4,9),(5,9),(6,12),(7,11),(8,11),(8,12),(9,15),(10,15),(11,14),(12,14),(13,16),(14,16),(15,13)],17)
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[3,2,5,4,1,7,8,6]=>[4,3,2,5,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,12),(11,9),(12,13),(13,9),(14,11),(15,11),(16,10),(17,10)],18)
[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[2,3,5,4,1,7,8,6]=>[4,2,3,5,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,14),(4,11),(5,10),(6,9),(7,9),(8,10),(8,11),(9,12),(10,15),(11,15),(12,14),(13,16),(14,13),(15,16)],17)
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[4,3,2,5,1,8,7,6]=>[5,3,4,2,1,7,8,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,15),(3,18),(4,18),(5,16),(6,16),(7,13),(8,15),(8,17),(10,12),(11,12),(12,9),(13,11),(14,9),(15,10),(16,14),(17,10),(17,11),(18,13),(18,17)],19)
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[4,3,2,5,1,7,8,6]=>[5,3,4,2,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,19),(3,19),(4,16),(5,15),(6,17),(7,15),(7,16),(8,17),(8,18),(10,12),(11,12),(12,9),(13,9),(14,10),(15,13),(16,13),(17,11),(18,10),(18,11),(19,14),(19,18)],20)
[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>[2,4,3,5,1,7,8,6]=>[5,2,4,3,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,15),(4,14),(5,16),(6,16),(7,17),(8,14),(8,15),(10,9),(11,9),(12,10),(13,10),(14,11),(15,11),(16,17),(17,12),(17,13)],18)
[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>[3,2,4,5,1,7,8,6]=>[5,3,2,4,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,15),(4,14),(5,16),(6,16),(7,17),(8,14),(8,15),(10,9),(11,9),(12,10),(13,10),(14,11),(15,11),(16,17),(17,12),(17,13)],18)
[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[2,3,4,5,1,7,8,6]=>[5,2,3,4,1,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,9),(11,9),(12,11),(13,11),(14,10),(15,10),(16,18),(17,18),(18,12),(18,13)],19)
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[4,3,2,1,5,8,7,6]=>[2,3,4,1,5,7,8,6]=>([(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),(7,15),(7,16),(8,11),(8,12),(10,13),(11,9),(12,9),(13,11),(14,12),(15,10),(16,10),(17,14)],18)
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[4,3,2,1,5,7,8,6]=>[2,3,4,1,5,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,14),(6,15),(6,16),(7,17),(7,18),(8,12),(8,13),(10,13),(11,14),(12,9),(13,9),(14,12),(15,10),(16,10),(17,11),(18,11)],19)
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>[2,4,3,1,5,8,7,6]=>[3,2,4,1,5,7,8,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,10),(4,10),(5,14),(6,15),(7,13),(8,11),(8,12),(9,14),(10,15),(11,16),(12,16),(13,12),(14,13),(15,11)],17)
[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[2,4,3,1,5,7,8,6]=>[3,2,4,1,5,8,7,6]=>([(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),(7,15),(7,16),(8,11),(8,12),(10,12),(11,9),(12,9),(13,14),(14,11),(15,10),(16,10),(17,13)],18)
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[3,2,1,4,5,8,7,6]=>[2,3,1,4,5,7,8,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,17),(4,17),(5,15),(6,14),(7,12),(7,18),(8,13),(8,18),(10,9),(11,9),(12,10),(13,11),(14,12),(15,13),(16,14),(17,15),(18,10),(18,11)],19)
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[2,3,1,4,5,7,8,6]=>[3,2,1,4,5,8,7,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,19),(4,18),(5,18),(5,19),(6,16),(6,17),(7,14),(7,20),(8,15),(8,20),(10,14),(11,15),(12,9),(13,9),(14,12),(15,13),(16,10),(17,10),(18,11),(19,11),(20,12),(20,13)],21)
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[2,3,4,5,6,1,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,17),(5,16),(6,16),(6,20),(7,17),(7,21),(8,20),(8,21),(10,12),(11,12),(12,15),(13,10),(14,11),(15,9),(16,13),(17,14),(18,9),(19,10),(19,11),(20,13),(20,19),(21,14),(21,19)],22)
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[5,4,6,3,2,1,8,7]=>[2,3,6,5,4,1,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,16),(4,13),(5,17),(6,17),(7,14),(7,15),(8,12),(8,16),(10,12),(11,13),(12,11),(13,9),(14,10),(15,10),(16,11),(17,9)],18)
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[2,3,6,4,5,1,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,9),(4,9),(5,10),(6,11),(7,11),(8,10),(8,14),(9,16),(10,15),(11,12),(12,14),(13,16),(14,15),(15,13)],17)
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[2,4,6,5,3,1,8,7]=>[3,2,5,4,6,1,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,9),(4,9),(5,10),(6,10),(7,11),(8,11),(9,14),(10,15),(11,12),(11,14),(12,16),(13,15),(14,16),(16,13)],17)
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[3,2,6,5,4,1,8,7]=>[4,3,2,5,6,1,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,16),(4,13),(5,17),(6,17),(7,14),(7,15),(8,12),(8,16),(10,12),(11,13),(12,11),(13,9),(14,10),(15,10),(16,11),(17,9)],18)
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[2,4,3,6,5,1,8,7]=>[5,2,4,3,6,1,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,9),(4,9),(5,12),(6,13),(7,14),(8,11),(9,15),(10,14),(11,15),(12,13),(13,11),(14,12)],16)
[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[3,4,5,2,6,1,8,7]=>[6,5,3,4,2,1,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,21),(2,21),(3,17),(4,17),(5,16),(6,15),(7,15),(7,19),(8,16),(8,20),(10,14),(11,14),(12,10),(13,11),(14,9),(15,12),(16,13),(17,9),(18,10),(18,11),(19,12),(19,18),(20,13),(20,18),(21,19),(21,20)],22)
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[3,2,5,4,6,1,8,7]=>[6,3,2,5,4,1,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,15),(11,14),(12,16),(13,16),(15,12),(15,13),(16,14)],17)
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[2,1,4,5,6,3,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,16),(4,16),(5,14),(6,13),(7,17),(8,13),(8,14),(10,17),(11,9),(12,9),(13,10),(14,10),(15,12),(16,11),(17,11),(17,12)],18)
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[2,1,5,6,4,3,8,7]=>[2,1,4,6,5,3,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,14),(11,12),(12,13),(13,14),(13,15),(14,16),(15,16)],17)
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,6,5,3,8,7]=>[2,1,5,4,6,3,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,14),(11,12),(12,13),(13,14),(13,15),(14,16),(15,16)],17)
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[2,1,5,4,6,3,8,7]=>[2,1,6,5,4,3,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,17),(4,17),(5,15),(6,14),(7,14),(7,19),(8,15),(8,19),(10,18),(11,18),(12,9),(13,9),(14,10),(15,11),(16,13),(17,12),(18,12),(18,13),(19,10),(19,11)],20)
[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[2,1,4,5,6,3,8,7]=>[2,1,6,4,5,3,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,14),(4,14),(5,15),(6,15),(7,13),(8,12),(10,9),(11,9),(12,16),(13,16),(14,11),(15,10),(16,10),(16,11),(17,12),(17,13)],18)
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[2,3,4,1,6,5,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,16),(3,16),(4,15),(5,14),(6,17),(7,17),(8,14),(8,15),(10,13),(11,9),(12,9),(13,11),(14,10),(15,10),(16,12),(17,11),(17,12)],18)
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[2,4,3,1,6,5,8,7]=>([(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),(9,14),(10,14),(10,15),(11,12),(12,13),(13,15),(14,16),(15,16)],17)
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7]=>[3,2,4,1,6,5,8,7]=>([(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),(9,14),(10,14),(10,15),(11,12),(12,13),(13,15),(14,16),(15,16)],17)
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,17),(4,17),(5,16),(6,15),(7,15),(7,18),(8,16),(8,18),(10,13),(11,10),(12,10),(13,9),(14,9),(15,11),(16,12),(17,14),(18,11),(18,12),(19,13),(19,14)],20)
[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[2,3,4,1,6,5,8,7]=>[4,2,3,1,6,5,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,14),(4,13),(5,16),(6,16),(7,17),(8,17),(10,11),(11,9),(12,9),(13,10),(14,10),(15,12),(16,11),(16,12),(17,13),(17,14)],18)
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,15),(4,15),(5,17),(6,17),(7,18),(8,18),(10,13),(11,12),(12,9),(13,9),(14,11),(15,10),(16,12),(16,13),(17,11),(17,16),(18,10),(18,16)],19)
[[[.,[[[.,[.,.]],.],.]],.],[.,.]]=>[3,2,4,5,1,6,8,7]=>[5,3,2,4,1,6,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,15),(4,15),(5,14),(6,13),(7,17),(8,11),(8,12),(10,11),(11,9),(12,9),(13,10),(14,10),(15,12),(16,17),(17,13),(17,14)],18)
[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[2,1,4,5,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,17),(4,17),(5,15),(6,14),(7,13),(7,19),(8,14),(8,15),(10,11),(11,9),(12,9),(13,12),(14,18),(15,18),(16,10),(17,13),(18,10),(18,19),(19,11),(19,12)],20)
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[4,3,2,1,5,6,8,7]=>[2,3,4,1,5,6,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,17),(5,16),(6,16),(6,17),(7,14),(7,19),(8,13),(8,19),(10,15),(11,9),(12,9),(13,12),(14,11),(15,13),(16,10),(17,10),(18,14),(19,11),(19,12)],20)
[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[2,4,3,1,5,6,8,7]=>[3,2,4,1,5,6,8,7]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,17),(3,15),(4,16),(5,16),(6,14),(7,13),(7,18),(8,12),(8,18),(10,9),(11,9),(12,11),(13,10),(14,15),(15,13),(16,12),(17,14),(18,10),(18,11)],19)
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[2,7,6,5,4,3,1,8]=>[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)
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[2,4,6,7,5,3,1,8]=>[3,2,5,4,7,6,1,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,10),(4,10),(5,9),(6,9),(7,11),(8,11),(9,15),(10,14),(11,14),(11,15),(12,13),(14,16),(15,16),(16,12)],17)
[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[2,5,6,4,7,3,1,8]=>[3,2,7,6,5,4,1,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,17),(3,17),(4,16),(5,15),(6,9),(7,15),(7,18),(8,16),(8,18),(10,11),(11,14),(12,10),(13,10),(14,9),(15,12),(16,13),(17,11),(18,12),(18,13)],19)
[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[3,4,2,6,7,5,1,8]=>[5,4,3,2,7,6,1,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,17),(3,17),(4,16),(5,15),(6,9),(7,15),(7,18),(8,16),(8,18),(10,11),(11,14),(12,10),(13,10),(14,9),(15,12),(16,13),(17,11),(18,12),(18,13)],19)
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>[5,4,6,3,2,7,1,8]=>[7,3,6,5,4,2,1,8]=>([(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)
[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[3,5,6,4,2,7,1,8]=>[7,4,3,6,5,2,1,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,16),(3,16),(4,15),(5,15),(6,13),(7,9),(8,14),(8,18),(10,12),(11,12),(12,9),(13,11),(14,10),(15,17),(16,17),(17,13),(17,18),(18,10),(18,11)],19)
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[4,3,6,5,2,7,1,8]=>[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)
[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>[3,5,4,6,2,7,1,8]=>[7,6,3,5,4,2,1,8]=>([(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)
[[.,[[.,[[[.,[.,.]],.],.]],.]],.]=>[4,3,5,6,2,7,1,8]=>[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)
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>[1,6,7,5,4,3,2,8]=>[1,3,4,5,7,6,2,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,19),(3,17),(4,17),(5,15),(6,14),(7,16),(7,18),(8,13),(8,18),(10,19),(11,10),(12,10),(13,12),(14,9),(15,9),(16,11),(17,13),(18,11),(18,12),(19,14),(19,15)],20)
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[1,4,5,6,7,3,2,8]=>[1,3,7,4,5,6,2,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,12),(3,14),(4,13),(5,16),(6,15),(7,17),(8,15),(8,16),(10,11),(11,12),(12,17),(13,9),(14,9),(15,10),(16,10),(17,13),(17,14)],18)
[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[2,3,1,5,6,7,4,8]=>[3,2,1,7,5,6,4,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,14),(4,16),(5,15),(6,18),(7,18),(8,15),(8,16),(10,11),(11,9),(12,17),(13,17),(14,9),(15,10),(16,10),(17,11),(17,14),(18,12),(18,13)],19)
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[4,3,2,1,7,6,5,8]=>[2,3,4,1,6,7,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,13),(3,15),(4,14),(5,16),(6,16),(7,17),(8,14),(8,15),(10,12),(11,9),(12,11),(13,9),(14,10),(15,10),(16,17),(17,11),(17,13)],18)
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[4,3,2,1,6,7,5,8]=>[2,3,4,1,7,6,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,12),(11,9),(12,11),(13,9),(14,10),(15,10),(16,18),(17,18),(18,11),(18,13)],19)
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[1,4,3,2,7,6,5,8]=>[1,3,4,2,6,7,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,15),(4,15),(5,13),(6,12),(7,17),(8,18),(10,9),(11,9),(12,10),(13,11),(14,17),(15,18),(16,10),(16,11),(17,12),(17,16),(18,13),(18,16)],19)
[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[1,3,4,2,6,7,5,8]=>[1,4,3,2,7,6,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,14),(3,17),(4,16),(5,13),(6,12),(7,14),(7,15),(8,16),(8,17),(10,9),(11,9),(12,10),(13,11),(14,18),(15,18),(16,19),(17,19),(18,12),(18,20),(19,13),(19,20),(20,10),(20,11)],21)
[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[2,3,1,4,6,7,5,8]=>[3,2,1,4,7,6,5,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,15),(3,18),(4,17),(5,14),(6,15),(6,16),(7,17),(7,18),(8,13),(8,20),(10,13),(11,9),(12,9),(13,12),(14,11),(15,10),(16,10),(17,19),(18,19),(19,14),(19,20),(20,11),(20,12)],21)
[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>[2,4,3,5,1,7,6,8]=>[5,2,4,3,1,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,12),(3,14),(4,17),(5,17),(6,15),(7,15),(8,16),(10,11),(11,9),(12,10),(13,10),(14,9),(15,16),(16,12),(16,13),(17,11),(17,14)],18)
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[3,2,1,5,4,7,6,8]=>[2,3,1,5,4,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,15),(3,15),(4,13),(5,17),(6,17),(7,18),(8,18),(10,12),(11,9),(12,9),(13,10),(14,11),(15,13),(16,11),(16,12),(17,14),(17,16),(18,10),(18,16)],19)
[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[2,3,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,16),(3,15),(4,18),(5,18),(6,19),(7,19),(8,15),(8,16),(10,11),(11,12),(12,9),(13,9),(14,13),(15,10),(16,10),(17,12),(17,13),(18,11),(18,17),(19,14),(19,17)],20)
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,21),(2,21),(3,19),(4,19),(5,20),(6,20),(7,15),(8,14),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,10),(16,18),(17,11),(17,18),(18,12),(18,13),(19,14),(19,16),(20,15),(20,17),(21,16),(21,17)],22)
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[4,3,2,1,5,7,6,8]=>[2,3,4,1,5,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,17),(2,16),(3,19),(4,19),(5,14),(6,15),(7,16),(7,17),(8,13),(8,18),(10,14),(11,9),(12,9),(13,11),(14,13),(15,12),(16,10),(17,10),(18,11),(18,12),(19,15),(19,18)],20)
[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>[2,4,3,1,5,7,6,8]=>[3,2,4,1,5,7,6,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,18),(3,18),(4,16),(5,16),(6,13),(7,14),(8,12),(8,17),(10,9),(11,9),(12,10),(13,11),(14,15),(15,12),(16,14),(17,10),(17,11),(18,13),(18,17)],19)
[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[2,3,6,5,4,1,7,8]=>[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)
[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>[1,2,5,6,4,3,7,8]=>[1,2,4,6,5,3,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,21),(3,17),(4,17),(5,16),(6,15),(7,15),(7,19),(8,16),(8,20),(10,12),(11,13),(12,9),(13,9),(14,21),(15,10),(16,11),(17,14),(18,12),(18,13),(19,10),(19,18),(20,11),(20,18),(21,19),(21,20)],22)
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[4,3,2,1,6,5,7,8]=>[2,3,4,1,6,5,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,19),(3,19),(4,16),(5,15),(6,17),(7,15),(7,16),(8,17),(8,18),(10,12),(11,14),(12,9),(13,9),(14,10),(15,11),(16,11),(17,13),(18,12),(18,13),(19,10),(19,18)],20)
[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>[2,4,3,1,6,5,7,8]=>[3,2,4,1,6,5,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,15),(3,18),(4,18),(5,16),(6,16),(7,13),(8,15),(8,17),(10,11),(11,9),(12,9),(13,14),(14,10),(15,12),(16,13),(17,11),(17,12),(18,10),(18,17)],19)
[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[3,2,4,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,21),(2,21),(3,17),(4,16),(5,18),(6,16),(6,20),(7,17),(7,20),(8,18),(8,19),(10,11),(11,14),(12,10),(13,10),(14,9),(15,9),(16,12),(17,13),(18,15),(19,14),(19,15),(20,12),(20,13),(21,11),(21,19)],22)
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[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)
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[2,4,5,3,1,6,7,8]=>[3,2,5,4,1,6,7,8]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,17),(3,17),(4,16),(5,16),(6,14),(7,15),(7,18),(8,13),(8,18),(10,14),(11,9),(12,9),(13,12),(14,13),(15,11),(16,10),(17,10),(18,11),(18,12)],19)
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[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)
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[2,4,3,1,5,6,7,8]=>[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)
[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]]=>[3,2,6,5,8,7,9,4,10,1]=>[10,3,2,9,6,5,8,7,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,14),(2,13),(3,16),(4,15),(5,18),(6,18),(7,17),(8,17),(9,19),(10,19),(12,21),(13,12),(14,12),(15,11),(16,11),(17,20),(18,20),(19,21),(20,13),(20,14),(21,15),(21,16)],22)
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]=>[4,3,6,5,7,2,9,8,10,1]=>[10,7,4,3,6,5,2,9,8,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,14),(2,13),(3,16),(4,15),(5,18),(6,18),(7,17),(8,17),(9,19),(10,19),(12,21),(13,12),(14,12),(15,11),(16,11),(17,20),(18,20),(19,21),(20,13),(20,14),(21,15),(21,16)],22)
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,9,8,10,3]=>[2,1,10,5,4,7,6,9,8,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,19),(2,19),(3,21),(4,21),(5,17),(6,17),(7,18),(8,18),(9,16),(10,15),(12,20),(13,20),(14,11),(15,14),(16,14),(17,13),(18,12),(19,11),(20,15),(20,16),(21,12),(21,13)],22)
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,4,3,7,6,9,8,10,5]=>[2,1,4,3,10,7,6,9,8,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,17),(2,17),(3,21),(4,21),(5,19),(6,19),(7,18),(8,18),(9,16),(10,15),(12,14),(13,11),(14,11),(15,12),(16,12),(17,13),(18,20),(19,20),(20,15),(20,16),(21,13),(21,14)],22)
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]=>[3,2,5,4,7,6,8,1,10,9]=>[8,3,2,5,4,7,6,1,10,9]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,19),(2,19),(3,21),(4,21),(5,17),(6,17),(7,18),(8,18),(9,16),(10,15),(12,20),(13,20),(14,11),(15,14),(16,14),(17,13),(18,12),(19,11),(20,15),(20,16),(21,12),(21,13)],22)
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]=>[2,1,5,4,7,6,8,3,10,9]=>[2,1,8,5,4,7,6,3,10,9]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,16),(2,16),(3,17),(4,17),(5,19),(6,19),(7,18),(8,18),(9,15),(10,14),(12,11),(13,11),(14,21),(15,21),(16,13),(17,12),(18,20),(19,20),(20,14),(20,15),(21,12),(21,13)],22)
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]]=>[3,2,5,4,6,1,8,7,10,9]=>[6,3,2,5,4,1,8,7,10,9]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(0,9),(0,10),(1,17),(2,17),(3,21),(4,21),(5,19),(6,19),(7,18),(8,18),(9,16),(10,15),(12,14),(13,11),(14,11),(15,12),(16,12),(17,13),(18,20),(19,20),(20,15),(20,16),(21,13),(21,14)],22)
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
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.
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.
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