Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00208: Permutations —lattice of intervals⟶ Lattices
Mp00068: Permutations —Simion-Schmidt map⟶ 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]=>[3,2,1]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
[.,[[.,.],.]]=>[2,3,1]=>[2,3,1]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
[[.,.],[.,.]]=>[3,1,2]=>[3,1,2]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
[[.,[.,.]],.]=>[2,1,3]=>[2,1,3]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
[[[.,.],.],.]=>[1,2,3]=>[1,3,2]=>([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[3,4,2,1]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)
[.,[[.,.],[.,.]]]=>[4,2,3,1]=>[4,2,3,1]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[3,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[2,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[[.,.],[.,[.,.]]]=>[4,3,1,2]=>[4,3,1,2]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)
[[.,.],[[.,.],.]]=>[3,4,1,2]=>[3,4,1,2]=>([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
[[.,[.,.]],[.,.]]=>[4,2,1,3]=>[4,2,1,3]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[[[.,.],.],[.,.]]=>[4,1,2,3]=>[4,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[2,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
[[[.,.],[.,.]],.]=>[3,1,2,4]=>[3,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
[[[.,[.,.]],.],.]=>[2,1,3,4]=>[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)
[[[[.,.],.],.],.]=>[1,2,3,4]=>[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)
[.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)
[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[4,5,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
[.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[5,3,4,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[4,3,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[3,5,4,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
[.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[5,4,2,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)
[.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[4,5,2,3,1]=>([(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)
[.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[5,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)
[.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[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)
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[4,3,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(10,8)],11)
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[3,5,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[4,2,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[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)
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[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)
[[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[5,4,3,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
[[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[4,5,3,1,2]=>([(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)
[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[5,3,4,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
[[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[4,3,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(8,9)],10)
[[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[3,5,4,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(8,9)],10)
[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[5,4,2,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[4,5,2,1,3]=>([(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)
[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[5,4,1,3,2]=>([(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)
[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[4,5,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(8,9)],10)
[[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[5,3,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,9),(2,8),(3,7),(4,6),(5,6),(5,7),(6,10),(7,10),(8,9),(10,8)],11)
[[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[5,2,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[5,3,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
[[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[5,2,1,4,3]=>([(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)
[[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[5,1,4,3,2]=>([(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)
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,10),(3,6),(4,10),(4,12),(5,11),(5,12),(7,9),(8,9),(9,6),(10,7),(11,8),(12,7),(12,8)],13)
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[3,5,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[4,2,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[3,2,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[2,5,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[4,3,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[3,5,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
[[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[4,2,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[4,1,5,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[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)
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[2,5,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[3,1,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[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)
[[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[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)
[.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,15),(2,14),(3,19),(3,21),(4,20),(4,21),(5,14),(5,19),(6,15),(6,20),(8,10),(9,11),(10,12),(11,13),(12,7),(13,7),(14,8),(15,9),(16,10),(16,18),(17,11),(17,18),(18,12),(18,13),(19,8),(19,16),(20,9),(20,17),(21,16),(21,17)],22)
[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,13),(4,12),(4,16),(5,13),(5,17),(6,16),(6,17),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,12),(15,10),(15,11),(16,8),(16,15),(17,9),(17,15)],18)
[.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,17),(3,17),(4,12),(5,15),(5,16),(6,13),(6,16),(8,10),(9,11),(10,7),(11,7),(12,9),(13,8),(14,10),(14,11),(15,9),(15,14),(16,8),(16,14),(17,12),(17,15)],18)
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,12),(5,14),(6,10),(6,14),(8,7),(9,7),(10,9),(11,10),(12,8),(13,11),(14,8),(14,9)],15)
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,12),(5,14),(6,10),(6,14),(8,7),(9,7),(10,9),(11,10),(12,8),(13,11),(14,8),(14,9)],15)
[.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,17),(2,17),(3,13),(4,12),(5,12),(5,15),(6,13),(6,16),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,10),(14,11),(15,8),(15,14),(16,9),(16,14),(17,15),(17,16)],18)
[.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>([(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)
[.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[6,4,3,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,14),(3,12),(4,12),(5,10),(6,11),(6,13),(8,7),(9,7),(10,9),(11,8),(12,14),(13,8),(13,9),(14,10),(14,13)],15)
[.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[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)
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,10),(5,11),(5,12),(6,9),(6,13),(8,10),(9,7),(10,9),(11,8),(12,8),(13,7)],14)
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,7),(6,7),(6,8),(7,9),(8,9),(10,8)],11)
[.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,7),(6,7),(6,8),(7,9),(8,9),(10,8)],11)
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(6,10),(7,12),(8,11),(9,11),(10,12),(11,10)],13)
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,10),(5,11),(5,12),(6,9),(6,13),(8,10),(9,7),(10,9),(11,8),(12,8),(13,7)],14)
[.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[6,5,4,2,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,13),(2,17),(3,17),(4,12),(5,15),(5,16),(6,13),(6,16),(8,10),(9,11),(10,7),(11,7),(12,9),(13,8),(14,10),(14,11),(15,9),(15,14),(16,8),(16,14),(17,12),(17,15)],18)
[.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>([(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)
[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>([(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)
[.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,10),(8,9),(8,11),(9,12),(10,11),(11,12)],13)
[.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,10),(8,9),(8,11),(9,12),(10,11),(11,12)],13)
[.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[6,5,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,14),(3,12),(4,12),(5,10),(6,11),(6,13),(8,7),(9,7),(10,9),(11,8),(12,14),(13,8),(13,9),(14,10),(14,13)],15)
[.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,12),(8,9),(9,10),(9,12),(10,11),(12,11)],13)
[.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[6,5,2,4,3,1]=>([(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)
[.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,12),(8,9),(9,10),(9,12),(10,11),(12,11)],13)
[.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,12),(4,11),(5,13),(6,11),(6,12),(8,13),(9,7),(10,7),(11,8),(12,8),(13,9),(13,10)],14)
[.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,8),(6,7),(7,9),(8,9),(10,7),(10,8)],11)
[.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[6,4,2,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,8),(6,7),(7,9),(8,9),(10,7),(10,8)],11)
[.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[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)
[.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[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)
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,13),(3,12),(4,7),(5,12),(5,14),(6,13),(6,14),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,9),(14,10)],15)
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[5,4,2,6,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[5,3,2,6,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[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)
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[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)
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[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)
[[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,14),(3,13),(4,12),(4,16),(5,13),(5,17),(6,16),(6,17),(8,10),(9,11),(10,7),(11,7),(12,8),(13,9),(14,12),(15,10),(15,11),(16,8),(16,15),(17,9),(17,15)],18)
[[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>([(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)
[[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>([(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)
[[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,11),(6,9),(6,10),(7,10),(8,11),(9,12),(10,12),(11,9)],13)
[[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,11),(6,9),(6,10),(7,10),(8,11),(9,12),(10,12),(11,9)],13)
[[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[6,5,3,4,1,2]=>([(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)
[[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>([(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)
[[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[6,4,3,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,12),(8,9),(9,10),(9,12),(10,11),(12,11)],13)
[[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,12),(8,9),(9,10),(9,12),(10,11),(12,11)],13)
[[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[5,4,3,6,1,2]=>([(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)
[[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(9,8)],10)
[[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(9,8)],10)
[[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,10),(9,10),(10,11)],12)
[[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>([(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)
[[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,13),(3,13),(4,11),(5,12),(5,14),(6,10),(6,14),(8,7),(9,7),(10,9),(11,10),(12,8),(13,11),(14,8),(14,9)],15)
[[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>([(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)
[[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>([(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)
[[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,9),(8,10),(9,11),(10,11)],12)
[[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,9),(8,10),(9,11),(10,11)],12)
[[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[6,5,4,1,3,2]=>([(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)
[[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,8),(4,8),(5,11),(6,9),(6,10),(7,10),(8,11),(9,12),(10,12),(11,9)],13)
[[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,10),(3,7),(4,7),(5,8),(6,8),(7,10),(8,9),(8,11),(9,12),(10,11),(11,12)],13)
[[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,9),(8,10),(9,11),(10,11)],12)
[[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,9),(3,7),(4,7),(5,8),(6,8),(7,9),(8,10),(9,11),(10,11)],12)
[[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[6,5,3,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,12),(2,11),(3,13),(4,10),(5,11),(5,12),(6,9),(6,13),(8,10),(9,7),(10,9),(11,8),(12,8),(13,7)],14)
[[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>([(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)
[[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[6,5,2,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,7),(6,7),(6,8),(7,9),(8,9),(10,8)],11)
[[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(9,8)],10)
[[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[6,5,3,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,10),(5,7),(6,7),(6,8),(7,9),(8,9),(10,8)],11)
[[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,9),(5,7),(6,7),(7,8),(9,8)],10)
[[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[6,5,2,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(6,10),(7,12),(8,11),(9,11),(10,12),(11,10)],13)
[[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,11),(8,10),(9,10),(10,11)],12)
[[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[6,5,1,4,3,2]=>([(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)
[[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>([(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)
[[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[6,4,3,2,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,11),(2,13),(3,12),(4,7),(5,12),(5,14),(6,13),(6,14),(8,11),(9,8),(10,8),(11,7),(12,9),(13,10),(14,9),(14,10)],15)
[[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[6,4,2,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[6,3,2,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[6,4,3,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,8),(6,7),(8,7)],9)
[[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[6,4,2,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[6,4,1,5,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[6,3,2,1,5,4]=>([(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)
[[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[6,3,1,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,9),(4,7),(5,7),(6,8),(7,9),(9,8)],10)
[[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[6,2,1,5,4,3]=>([(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),(11,12),(12,10)],13)
[[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>([(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)
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,14),(2,13),(3,7),(4,13),(4,16),(5,14),(5,17),(6,16),(6,17),(8,12),(9,12),(10,8),(11,9),(12,7),(13,10),(14,11),(15,8),(15,9),(16,10),(16,15),(17,11),(17,15)],18)
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)
[[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[5,4,2,6,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[4,3,2,6,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)
[[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[5,4,3,1,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)
[[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[5,4,2,1,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[5,4,1,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[5,3,2,1,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)
[[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[5,3,1,6,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[5,2,1,6,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[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)
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,7),(4,7),(5,7),(6,7)],8)
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[4,3,1,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,8),(2,8),(3,8),(4,8),(5,7),(6,7),(7,8)],9)
[[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[4,2,1,6,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,9),(2,9),(3,8),(4,8),(5,7),(6,7),(7,9),(8,9)],10)
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[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)
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)
[[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(1,10),(2,10),(3,10),(4,8),(5,7),(6,7),(6,8),(7,9),(8,9),(9,10)],11)
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[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)
[[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[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)
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,15),(5,18),(6,13),(6,19),(7,18),(7,19),(9,11),(10,12),(11,8),(12,8),(13,10),(14,13),(15,9),(16,14),(17,11),(17,12),(18,9),(18,17),(19,10),(19,17)],20)
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[5,7,6,4,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,15),(5,18),(6,13),(6,19),(7,18),(7,19),(9,11),(10,12),(11,8),(12,8),(13,10),(14,13),(15,9),(16,14),(17,11),(17,12),(18,9),(18,17),(19,10),(19,17)],20)
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[6,7,4,5,3,2,1]=>([(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)
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[7,5,4,6,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,19),(3,15),(4,15),(5,13),(6,17),(6,18),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,19),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,13),(19,17)],20)
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[7,4,6,5,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,19),(3,15),(4,15),(5,13),(6,17),(6,18),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,19),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,13),(19,17)],20)
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,15),(4,14),(5,15),(5,16),(6,12),(6,17),(7,14),(7,17),(9,13),(10,8),(11,8),(12,10),(13,12),(14,11),(15,9),(16,9),(17,10),(17,11)],18)
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[5,7,4,6,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,8),(6,8),(6,9),(7,9),(7,10),(8,11),(9,11),(9,12),(10,12),(11,13),(12,13),(14,10)],15)
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[6,4,7,5,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,8),(6,8),(6,9),(7,9),(7,10),(8,11),(9,11),(9,12),(10,12),(11,13),(12,13),(14,10)],15)
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[5,4,7,6,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,14),(5,13),(6,12),(6,16),(7,13),(7,16),(9,12),(10,8),(11,8),(12,10),(13,11),(14,9),(15,9),(16,10),(16,11)],17)
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[4,7,6,5,3,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,15),(4,14),(5,15),(5,16),(6,12),(6,17),(7,14),(7,17),(9,13),(10,8),(11,8),(12,10),(13,12),(14,11),(15,9),(16,9),(17,10),(17,11)],18)
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[6,7,5,3,4,2,1]=>([(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)
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>([(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)
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[6,5,7,3,4,2,1]=>([(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)
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[5,7,6,3,4,2,1]=>([(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)
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,19),(2,15),(3,15),(4,14),(5,13),(6,13),(6,17),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,9),(14,10),(15,19),(16,11),(16,12),(17,9),(17,16),(18,10),(18,16),(19,17),(19,18)],20)
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[6,7,4,3,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,13),(4,14),(5,14),(6,12),(7,12),(7,15),(9,10),(10,8),(11,8),(12,11),(13,9),(14,16),(15,10),(15,11),(16,9),(16,15)],17)
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[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)
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[6,7,3,5,4,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,13),(4,14),(5,14),(6,12),(7,12),(7,15),(9,10),(10,8),(11,8),(12,11),(13,9),(14,16),(15,10),(15,11),(16,9),(16,15)],17)
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,17),(6,13),(6,14),(7,15),(7,16),(9,17),(10,8),(11,8),(12,11),(13,9),(14,9),(15,10),(16,10),(16,11),(17,12),(17,16)],18)
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[7,4,6,3,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,9),(6,8),(7,8),(7,10),(8,12),(9,11),(10,11),(10,12),(11,13),(12,13),(14,9),(14,10)],15)
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[7,5,3,6,4,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,9),(6,8),(7,8),(7,10),(8,12),(9,11),(10,11),(10,12),(11,13),(12,13),(14,9),(14,10)],15)
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[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)
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[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)
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,15),(4,14),(5,12),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,8),(17,10),(17,11)],18)
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[5,7,4,3,6,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[6,4,7,3,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,8),(7,8),(7,9),(8,10),(9,10),(11,9)],12)
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[5,4,7,3,6,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[4,7,6,3,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[6,5,3,7,4,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[5,7,3,6,4,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,8),(7,8),(7,9),(8,10),(9,10),(11,9)],12)
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[6,4,3,7,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[6,3,7,5,4,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[5,4,3,7,6,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,12),(6,11),(6,14),(7,12),(7,13),(9,11),(10,9),(11,8),(12,10),(13,10),(14,8),(15,9)],16)
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[4,7,3,6,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[5,3,7,6,4,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[4,3,7,6,5,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,12),(6,11),(6,14),(7,12),(7,13),(9,11),(10,9),(11,8),(12,10),(13,10),(14,8),(15,9)],16)
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[3,7,6,5,4,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,15),(4,14),(5,12),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,8),(17,10),(17,11)],18)
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>([(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)
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>([(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)
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[6,5,7,4,2,3,1]=>([(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)
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[5,7,6,4,2,3,1]=>([(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)
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[7,6,4,5,2,3,1]=>([(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)
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1]=>([(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)
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[7,5,4,6,2,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,13),(5,13),(6,11),(7,12),(9,8),(10,8),(11,9),(12,10),(13,15),(14,9),(14,10),(15,12),(15,14),(16,11),(16,14)],17)
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[7,4,6,5,2,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,13),(5,13),(6,11),(7,12),(9,8),(10,8),(11,9),(12,10),(13,15),(14,9),(14,10),(15,12),(15,14),(16,11),(16,14)],17)
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[6,5,4,7,2,3,1]=>([(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)
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[5,7,4,6,2,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,12),(4,12),(5,12),(6,12),(7,9),(8,9),(8,10),(9,11),(10,11),(12,10)],13)
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[6,4,7,5,2,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,12),(4,12),(5,12),(6,12),(7,9),(8,9),(8,10),(9,11),(10,11),(12,10)],13)
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[5,4,7,6,2,3,1]=>([(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),(8,12),(9,12),(10,11),(10,13),(11,14),(12,13),(13,14)],15)
[.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[4,7,6,5,2,3,1]=>([(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)
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,19),(3,15),(4,15),(5,13),(6,17),(6,18),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,19),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,13),(19,17)],20)
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[6,7,5,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,13),(4,14),(5,14),(6,12),(7,11),(7,15),(9,8),(10,8),(11,9),(12,10),(13,11),(14,16),(15,9),(15,10),(16,12),(16,15)],17)
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[7,5,6,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,13),(5,13),(6,11),(7,12),(9,8),(10,8),(11,9),(12,10),(13,15),(14,9),(14,10),(15,12),(15,14),(16,11),(16,14)],17)
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,14),(11,13),(12,10),(12,13),(13,14)],15)
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[5,7,6,3,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,14),(11,13),(12,10),(12,13),(13,14)],15)
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[7,6,5,2,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,19),(3,15),(4,15),(5,13),(6,17),(6,18),(7,14),(7,18),(9,11),(10,12),(11,8),(12,8),(13,10),(14,9),(15,19),(16,11),(16,12),(17,10),(17,16),(18,9),(18,16),(19,13),(19,17)],20)
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[6,7,5,2,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,13),(4,14),(5,14),(6,12),(7,11),(7,15),(9,8),(10,8),(11,9),(12,10),(13,11),(14,16),(15,9),(15,10),(16,12),(16,15)],17)
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[7,5,6,2,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,15),(4,13),(5,13),(6,11),(7,12),(9,8),(10,8),(11,9),(12,10),(13,15),(14,9),(14,10),(15,12),(15,14),(16,11),(16,14)],17)
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[6,5,7,2,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,14),(11,13),(12,10),(12,13),(13,14)],15)
[.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[5,7,6,2,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,14),(11,13),(12,10),(12,13),(13,14)],15)
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[7,6,4,3,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,13),(3,15),(4,12),(5,17),(6,13),(6,14),(7,15),(7,16),(9,17),(10,8),(11,8),(12,11),(13,9),(14,9),(15,10),(16,10),(16,11),(17,12),(17,16)],18)
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[6,7,4,3,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,15),(7,12),(7,13),(9,15),(10,8),(11,8),(12,9),(13,9),(14,10),(15,10),(15,11)],16)
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[7,6,3,5,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,9),(6,8),(7,8),(7,10),(8,12),(9,11),(10,11),(10,12),(11,13),(12,13),(14,9),(14,10)],15)
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[6,7,3,5,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,8),(7,9),(8,10),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[7,6,4,2,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,9),(6,8),(7,8),(7,10),(8,12),(9,11),(10,11),(10,12),(11,13),(12,13),(14,9),(14,10)],15)
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[6,7,4,2,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,8),(7,9),(8,10),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[7,6,3,2,5,4,1]=>([(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)
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[6,7,3,2,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,13),(10,12),(11,14),(12,14),(13,11),(13,12)],15)
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[7,6,2,5,4,3,1]=>([(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)
[.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[6,7,2,5,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,11),(4,14),(5,14),(6,15),(7,12),(7,13),(9,15),(10,8),(11,8),(12,9),(13,9),(14,10),(15,10),(15,11)],16)
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,12),(3,15),(4,14),(5,17),(6,14),(6,16),(7,15),(7,16),(9,17),(10,9),(11,9),(12,8),(13,8),(14,10),(15,11),(16,10),(16,11),(17,12),(17,13)],18)
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[7,4,6,3,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,8),(8,10),(9,10),(11,8),(11,9)],12)
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[7,4,3,6,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[7,3,6,5,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[7,5,4,2,6,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,8),(8,10),(9,10),(11,8),(11,9)],12)
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[7,5,3,2,6,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[7,5,2,6,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[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)
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[7,3,6,2,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[7,4,2,6,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,10),(5,9),(6,8),(7,8),(8,12),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[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)
[.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[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)
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,16),(3,15),(4,8),(5,15),(5,18),(6,16),(6,19),(7,18),(7,19),(9,11),(10,11),(11,14),(12,9),(13,10),(14,8),(15,12),(16,13),(17,9),(17,10),(18,12),(18,17),(19,13),(19,17)],20)
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[5,7,4,3,2,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[6,4,7,3,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[5,4,7,3,2,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[4,7,6,3,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[6,5,3,7,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[5,7,3,6,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[6,4,3,7,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[6,3,7,5,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[5,4,3,7,2,6,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[4,7,3,6,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[5,3,7,6,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[4,3,7,6,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[3,7,6,5,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[6,5,4,2,7,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[5,7,4,2,6,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[6,4,7,2,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[5,4,7,2,6,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[4,7,6,2,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[6,5,3,2,7,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[5,7,3,2,6,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[6,5,2,7,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[5,7,2,6,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[6,4,3,2,7,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[6,3,7,2,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[6,4,2,7,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[6,3,2,7,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[6,2,7,5,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[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)
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[4,7,3,2,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[5,3,7,2,6,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[4,3,7,2,6,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[3,7,6,2,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[5,4,2,7,6,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[4,7,2,6,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[5,3,2,7,6,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[5,2,7,6,4,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[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)
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[3,7,2,6,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[4,2,7,6,5,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[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)
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[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)
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>([(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)
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[7,5,6,4,3,1,2]=>([(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)
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[6,5,7,4,3,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,14),(5,13),(6,12),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,9),(13,12),(14,11),(15,13),(16,9),(16,10)],17)
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[5,7,6,4,3,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,14),(5,13),(6,12),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,9),(13,12),(14,11),(15,13),(16,9),(16,10)],17)
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>([(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)
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[6,7,4,5,3,1,2]=>([(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)
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[7,5,4,6,3,1,2]=>([(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)
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[7,4,6,5,3,1,2]=>([(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)
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[6,5,4,7,3,1,2]=>([(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)
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[5,7,4,6,3,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,8),(7,9),(7,10),(8,10),(9,11),(10,11),(12,9)],13)
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[6,4,7,5,3,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,8),(7,9),(7,10),(8,10),(9,11),(10,11),(12,9)],13)
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[5,4,7,6,3,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,13),(10,11),(11,14),(12,14),(13,12)],15)
[[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[4,7,6,5,3,1,2]=>([(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)
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>([(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)
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[6,7,5,3,4,1,2]=>([(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)
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>([(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)
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>([(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)
[[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[5,7,6,3,4,1,2]=>([(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)
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[7,6,4,3,5,1,2]=>([(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)
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>([(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)
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[7,6,3,5,4,1,2]=>([(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)
[[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>([(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)
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>([(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)
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[7,4,6,3,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,8),(7,9),(8,10),(9,11),(10,11),(12,9),(12,10)],13)
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[7,5,3,6,4,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,8),(7,9),(8,10),(9,11),(10,11),(12,9),(12,10)],13)
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[7,4,3,6,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,13),(10,12),(11,14),(12,14),(13,11),(13,12)],15)
[[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[7,3,6,5,4,1,2]=>([(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)
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[6,5,4,3,7,1,2]=>([(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)
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[5,7,4,3,6,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[6,4,7,3,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(10,9)],11)
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[5,4,7,3,6,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[4,7,6,3,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[6,5,3,7,4,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[5,7,3,6,4,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(10,9)],11)
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[6,4,3,7,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[6,3,7,5,4,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[5,4,3,7,6,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,10),(4,10),(5,11),(6,11),(7,8),(7,9),(8,12),(9,12),(10,13),(11,14),(12,14),(14,13)],15)
[[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[4,7,3,6,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[5,3,7,6,4,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[4,3,7,6,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,10),(4,10),(5,11),(6,11),(7,8),(7,9),(8,12),(9,12),(10,13),(11,14),(12,14),(14,13)],15)
[[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[3,7,6,5,4,1,2]=>([(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)
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,16),(3,16),(4,14),(5,15),(5,18),(6,13),(6,19),(7,18),(7,19),(9,11),(10,12),(11,8),(12,8),(13,10),(14,13),(15,9),(16,14),(17,11),(17,12),(18,9),(18,17),(19,10),(19,17)],20)
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[6,7,5,4,2,1,3]=>([(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)
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[7,5,6,4,2,1,3]=>([(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)
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>([(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)
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[5,7,6,4,2,1,3]=>([(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)
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[7,6,4,5,2,1,3]=>([(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),(9,10),(10,8),(11,8),(12,9),(13,11),(14,12),(15,10),(15,11),(16,9),(16,15)],17)
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[6,7,4,5,2,1,3]=>([(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)
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[7,5,4,6,2,1,3]=>([(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)
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[7,4,6,5,2,1,3]=>([(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)
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[6,5,4,7,2,1,3]=>([(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)
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[5,7,4,6,2,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(10,9),(11,9)],12)
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[6,4,7,5,2,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(10,9),(11,9)],12)
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[5,4,7,6,2,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,12),(9,12),(10,11),(11,13),(12,13)],14)
[[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[4,7,6,5,2,1,3]=>([(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)
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[7,6,5,4,1,3,2]=>([(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)
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[6,7,5,4,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,14),(5,13),(6,12),(6,16),(7,11),(7,16),(9,8),(10,8),(11,10),(12,9),(13,12),(14,11),(15,13),(16,9),(16,10)],17)
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[7,5,6,4,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,16),(3,14),(4,14),(5,12),(6,13),(7,11),(7,15),(9,8),(10,8),(11,9),(12,10),(13,11),(14,13),(15,9),(15,10),(16,12),(16,15)],17)
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[6,5,7,4,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,13),(6,12),(7,10),(7,11),(8,12),(9,13),(10,14),(11,14),(12,10),(13,11)],15)
[[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,13),(6,12),(7,10),(7,11),(8,12),(9,13),(10,14),(11,14),(12,10),(13,11)],15)
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[7,6,4,5,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,16),(4,14),(5,14),(6,12),(7,13),(7,15),(9,10),(10,8),(11,8),(12,9),(13,11),(14,12),(15,10),(15,11),(16,9),(16,15)],17)
[[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[6,7,4,5,1,3,2]=>([(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)
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[7,5,4,6,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,14),(11,13),(12,10),(12,13),(13,14)],15)
[[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[7,4,6,5,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,9),(4,9),(5,10),(6,11),(7,12),(8,11),(9,12),(10,14),(11,13),(12,10),(12,13),(13,14)],15)
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[6,5,4,7,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,14),(12,14),(13,12)],15)
[[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[5,7,4,6,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(10,9),(11,9)],12)
[[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[6,4,7,5,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(10,9),(11,9)],12)
[[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[5,4,7,6,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,12),(9,12),(10,11),(11,13),(12,13)],14)
[[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[4,7,6,5,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,14),(12,14),(13,12)],15)
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,13),(2,16),(3,15),(4,14),(5,15),(5,16),(6,12),(6,17),(7,14),(7,17),(9,13),(10,8),(11,8),(12,10),(13,12),(14,11),(15,9),(16,9),(17,10),(17,11)],18)
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[6,7,5,3,2,1,4]=>([(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)
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[7,5,6,3,2,1,4]=>([(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)
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[6,5,7,3,2,1,4]=>([(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)
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[5,7,6,3,2,1,4]=>([(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)
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[7,6,5,2,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,8),(6,8),(6,9),(7,9),(7,10),(8,11),(9,11),(9,12),(10,12),(11,13),(12,13),(14,10)],15)
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[6,7,5,2,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,8),(7,9),(7,10),(8,10),(9,11),(10,11),(12,9)],13)
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[7,5,6,2,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,12),(4,12),(5,12),(6,12),(7,9),(8,9),(8,10),(9,11),(10,11),(12,10)],13)
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[6,5,7,2,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(10,9),(11,9)],12)
[[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[5,7,6,2,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(10,9),(11,9)],12)
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[7,6,5,3,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,14),(5,8),(6,8),(6,9),(7,9),(7,10),(8,11),(9,11),(9,12),(10,12),(11,13),(12,13),(14,10)],15)
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[6,7,5,3,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,12),(5,8),(6,8),(7,9),(7,10),(8,10),(9,11),(10,11),(12,9)],13)
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[7,5,6,3,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,12),(4,12),(5,12),(6,12),(7,9),(8,9),(8,10),(9,11),(10,11),(12,10)],13)
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[6,5,7,3,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(10,9),(11,9)],12)
[[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[5,7,6,3,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,11),(4,11),(5,11),(6,11),(7,10),(8,10),(10,9),(11,9)],12)
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[7,6,5,2,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,15),(2,15),(3,14),(4,14),(5,13),(6,12),(6,16),(7,13),(7,16),(9,12),(10,8),(11,8),(12,10),(13,11),(14,9),(15,9),(16,10),(16,11)],17)
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[6,7,5,2,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(1,12),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,13),(9,13),(10,11),(11,14),(12,14),(13,12)],15)
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[7,5,6,2,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,12),(9,12),(10,11),(10,13),(11,14),(12,13),(13,14)],15)
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[6,5,7,2,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,12),(9,12),(10,11),(11,13),(12,13)],14)
[[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[5,7,6,2,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,9),(3,9),(4,8),(5,8),(6,10),(7,10),(8,12),(9,12),(10,11),(11,13),(12,13)],14)
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[7,6,5,1,4,3,2]=>([(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)
[[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[6,7,5,1,4,3,2]=>([(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)
[[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[7,5,6,1,4,3,2]=>([(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)
[[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[6,5,7,1,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,14),(12,14),(13,12)],15)
[[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[5,7,6,1,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,13),(9,13),(10,11),(11,14),(12,14),(13,12)],15)
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,16),(2,13),(3,15),(4,14),(5,12),(5,16),(6,14),(6,17),(7,15),(7,17),(9,13),(10,9),(11,9),(12,8),(13,12),(14,10),(15,11),(16,8),(17,10),(17,11)],18)
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>([(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),(9,12),(10,9),(11,9),(12,8),(13,10),(14,11),(15,8),(16,10),(16,11)],17)
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[7,6,3,5,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[6,7,3,5,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[7,6,4,2,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,8),(7,8),(7,9),(8,10),(9,10),(11,9)],12)
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[6,7,4,2,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(10,9)],11)
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[7,6,3,2,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[6,7,3,2,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[7,6,2,5,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[6,7,2,5,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[7,6,4,3,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[6,7,4,3,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[7,6,3,5,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,11),(6,8),(7,8),(7,9),(8,10),(9,10),(11,9)],12)
[[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[6,7,3,5,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,10),(6,8),(7,8),(8,9),(10,9)],11)
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[7,6,4,2,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[6,7,4,2,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[7,6,4,1,5,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[6,7,4,1,5,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[7,6,3,2,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,12),(6,11),(6,14),(7,12),(7,13),(9,11),(10,9),(11,8),(12,10),(13,10),(14,8),(15,9)],16)
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[6,7,3,2,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,10),(4,10),(5,11),(6,11),(7,8),(7,9),(8,12),(9,12),(10,13),(11,14),(12,14),(14,13)],15)
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[7,6,2,5,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[6,7,2,5,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[7,6,3,1,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,8),(5,9),(6,9),(7,8),(7,10),(8,11),(9,12),(10,11),(12,10)],13)
[[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[6,7,3,1,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,8),(5,8),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[7,6,2,1,5,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,15),(3,15),(4,13),(5,12),(6,11),(6,14),(7,12),(7,13),(9,11),(10,9),(11,8),(12,10),(13,10),(14,8),(15,9)],16)
[[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[6,7,2,1,5,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,8),(3,10),(4,10),(5,11),(6,11),(7,8),(7,9),(8,12),(9,12),(10,13),(11,14),(12,14),(14,13)],15)
[[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[7,6,1,5,4,3,2]=>([(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)
[[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[6,7,1,5,4,3,2]=>([(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)
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,16),(3,15),(4,8),(5,15),(5,18),(6,16),(6,19),(7,18),(7,19),(9,11),(10,11),(11,14),(12,9),(13,10),(14,8),(15,12),(16,13),(17,9),(17,10),(18,12),(18,17),(19,13),(19,17)],20)
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[7,4,6,3,2,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[7,5,3,6,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[7,4,3,6,2,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[7,3,6,5,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[7,5,4,2,6,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[7,4,6,2,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[7,5,3,2,6,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[7,5,2,6,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[7,4,3,2,6,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[7,3,6,2,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[7,4,2,6,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[7,3,2,6,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[7,2,6,5,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[7,5,4,3,1,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[7,4,6,3,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[7,5,3,6,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[7,4,3,6,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[7,3,6,5,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[7,5,4,2,1,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[7,4,6,2,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[7,5,4,1,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[7,4,6,1,5,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[7,5,3,2,1,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[7,5,2,6,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[7,5,3,1,6,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[7,5,2,1,6,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[7,5,1,6,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[7,4,3,2,1,6,5]=>([(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)
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[7,3,6,2,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[7,4,2,6,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,8),(9,8)],10)
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[7,3,2,6,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[7,2,6,5,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[7,4,3,1,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[7,3,6,1,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,10),(5,8),(6,8),(7,9),(8,10),(10,9)],11)
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[7,4,2,1,6,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[7,4,1,6,5,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,9),(4,9),(5,8),(6,8),(7,10),(8,11),(9,11),(11,10)],12)
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[7,3,2,1,6,5,4]=>([(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)
[[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[7,2,6,1,5,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[7,3,1,6,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,12),(4,9),(5,8),(6,10),(7,8),(7,9),(8,11),(9,11),(11,12),(12,10)],13)
[[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[7,2,1,6,5,4,3]=>([(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)
[[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>([(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)
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[5,7,4,3,2,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[6,4,7,3,2,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[5,4,7,3,2,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[4,7,6,3,2,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[5,7,3,6,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[6,4,3,7,2,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[6,3,7,5,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[5,4,3,7,2,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[4,7,3,6,2,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[5,3,7,6,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[4,3,7,6,2,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[3,7,6,5,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[6,5,4,2,7,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[5,7,4,2,6,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[5,4,7,2,6,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[4,7,6,2,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[6,5,3,2,7,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[5,7,3,2,6,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[6,5,2,7,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[5,7,2,6,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[6,3,7,2,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[6,4,2,7,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[5,4,3,2,7,1,6]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[4,7,3,2,6,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[5,3,7,2,6,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[4,3,7,2,6,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[3,7,6,2,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[5,4,2,7,6,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[4,7,2,6,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[5,3,2,7,6,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[5,2,7,6,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[4,3,2,7,6,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[3,7,2,6,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[4,2,7,6,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[3,2,7,6,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[6,5,4,3,1,7,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[6,4,7,3,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[5,4,7,3,1,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[4,7,6,3,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[6,5,3,7,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[6,4,3,7,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[6,3,7,5,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[5,4,3,7,1,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[4,7,3,6,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[5,3,7,6,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[4,3,7,6,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[3,7,6,5,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[6,5,4,2,1,7,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[5,7,4,2,1,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[6,4,7,2,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[4,7,6,2,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[6,5,4,1,7,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[5,7,4,1,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[6,4,7,1,5,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[5,4,7,1,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[4,7,6,1,5,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[6,5,3,2,1,7,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[5,7,3,2,1,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[6,5,2,7,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[5,7,2,6,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[6,5,3,1,7,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[5,7,3,1,6,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[6,5,2,1,7,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)
[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[5,7,2,1,6,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[6,5,1,7,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[5,7,1,6,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[6,4,3,2,1,7,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[6,3,7,2,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[6,4,2,7,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[6,3,2,7,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[6,2,7,5,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[6,4,3,1,7,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[6,3,7,1,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[6,4,2,1,7,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[6,4,1,7,5,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[6,3,2,1,7,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[6,2,7,1,5,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[6,3,1,7,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[6,2,1,7,5,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[6,1,7,5,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[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)
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[4,7,3,2,1,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[5,3,7,2,1,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[4,3,7,2,1,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[3,7,6,2,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[5,4,2,7,1,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[4,7,2,6,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[4,3,2,7,1,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[3,7,2,6,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[4,2,7,6,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[3,2,7,6,1,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[5,4,3,1,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[4,7,3,1,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[5,3,7,1,6,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,8),(2,8),(3,8),(4,8),(5,8),(6,8),(7,8)],9)
[[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[4,3,7,1,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[3,7,6,1,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[5,4,2,1,7,6,3]=>([(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),(8,11),(9,11),(10,11)],12)
[[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[4,7,2,1,6,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[5,4,1,7,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)
[[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[4,7,1,6,5,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,10),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,10),(9,10)],11)
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[5,3,2,1,7,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[5,2,7,1,6,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[5,3,1,7,6,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[5,2,1,7,6,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,10),(3,10),(4,9),(5,9),(6,8),(7,8),(8,11),(9,11),(10,11)],12)
[[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[5,1,7,6,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[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)
[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[3,7,2,1,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[4,2,7,1,6,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,9),(2,9),(3,9),(4,9),(5,9),(6,8),(7,8),(8,9)],10)
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[3,2,7,1,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[4,3,1,7,6,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[3,7,1,6,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,11),(2,11),(3,11),(4,11),(5,9),(6,8),(7,8),(7,9),(8,10),(9,10),(10,11)],12)
[[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[4,2,1,7,6,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[4,1,7,6,5,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,12),(2,12),(3,9),(4,8),(5,10),(6,10),(7,8),(7,9),(8,11),(9,11),(10,12),(11,12)],13)
[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[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)
[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[2,7,1,6,5,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)
[[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[3,1,7,6,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(1,14),(2,14),(3,14),(4,9),(5,8),(6,8),(6,10),(7,9),(7,10),(8,11),(9,12),(10,11),(10,12),(11,13),(12,13),(13,14)],15)
[[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[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)
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[5,8,7,6,3,4,2,1]=>([(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)
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[8,7,4,3,5,6,2,1]=>[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)
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[7,5,6,4,3,8,2,1]=>[7,5,8,4,3,6,2,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,13),(5,9),(6,10),(7,10),(8,9),(8,11),(9,12),(10,13),(11,12),(13,11)],14)
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[5,8,7,6,4,2,3,1]=>([(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)
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[8,6,7,4,5,2,3,1]=>([(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)
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,2,3,1]=>[8,5,7,4,6,2,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,11),(3,9),(4,9),(5,16),(6,16),(7,16),(8,16),(9,11),(9,12),(10,14),(11,15),(12,14),(12,15),(14,13),(15,13),(16,10),(16,12)],17)
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[8,6,5,7,3,2,4,1]=>([(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)
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[5,8,7,6,3,2,4,1]=>([(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)
[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[8,5,7,6,2,4,3,1]=>([(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)
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[5,8,7,6,2,4,3,1]=>([(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)
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[8,6,7,3,4,2,5,1]=>[8,6,7,3,5,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,11),(3,9),(4,9),(5,16),(6,16),(7,16),(8,16),(9,11),(9,12),(10,14),(11,15),(12,14),(12,15),(14,13),(15,13),(16,10),(16,12)],17)
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[8,5,6,3,4,2,7,1]=>[8,5,7,3,6,2,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,10),(8,9),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[8,6,4,3,5,2,7,1]=>[8,6,4,3,7,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,13),(5,11),(6,10),(7,9),(8,9),(9,13),(10,12),(11,12),(13,10),(13,11)],14)
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[8,4,5,3,6,2,7,1]=>[8,4,7,3,6,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,10),(8,9),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[8,5,6,4,2,3,7,1]=>[8,5,7,4,2,6,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,10),(8,9),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[8,5,3,4,2,6,7,1]=>[8,5,3,7,2,6,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,12),(7,10),(8,9),(9,11),(10,11),(12,9),(12,10)],13)
[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[4,8,7,3,6,2,5,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,2,3,8,1]=>[5,8,7,4,2,6,3,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[3,8,2,7,6,5,4,1]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,16),(4,10),(5,9),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(13,15),(14,15),(15,16),(16,12)],17)
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[5,8,7,6,4,3,1,2]=>([(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)
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[7,8,6,4,5,3,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,21),(2,21),(3,16),(4,16),(5,17),(6,17),(7,15),(7,20),(8,14),(8,19),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,14),(17,15),(18,12),(18,13),(19,10),(19,18),(20,11),(20,18),(21,19),(21,20)],22)
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>([(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)
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[5,8,7,6,3,4,1,2]=>([(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)
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[8,7,4,3,5,6,1,2]=>[8,7,4,3,6,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,14),(3,16),(4,16),(5,15),(6,15),(7,13),(8,13),(8,18),(10,11),(11,9),(12,9),(13,12),(14,10),(15,17),(16,17),(17,10),(17,18),(18,11),(18,12)],19)
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[7,8,4,3,6,5,1,2]=>([(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),(6,12),(7,11),(8,11),(9,13),(10,13),(11,15),(12,14),(13,14),(13,15),(14,16),(15,16)],17)
[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>[7,8,3,6,5,4,1,2]=>([(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)
[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,3,8,1,2]=>[5,8,7,4,3,6,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,12),(10,13),(11,13),(13,12)],14)
[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[4,5,6,3,7,8,1,2]=>[4,8,7,3,6,5,1,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,12),(10,13),(11,13),(13,12)],14)
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[7,6,8,5,4,2,1,3]=>([(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)
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[5,8,7,6,4,2,1,3]=>([(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),(7,15),(7,16),(8,11),(8,12),(10,13),(11,9),(12,9),(13,11),(14,12),(15,10),(16,10),(17,14)],18)
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[6,8,7,5,4,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,17),(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)
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[5,8,7,6,4,1,3,2]=>([(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)
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,1,2,3]=>[8,6,7,4,5,1,3,2]=>([(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)
[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[8,5,6,4,7,1,2,3]=>[8,5,7,4,6,1,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,14),(3,14),(4,14),(5,14),(6,9),(7,9),(8,10),(9,11),(10,13),(11,12),(12,13),(14,10),(14,12)],15)
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[7,6,5,8,3,2,1,4]=>([(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)
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[5,8,7,6,3,2,1,4]=>([(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)
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,3,1,4]=>[8,7,6,5,2,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,19),(4,19),(5,14),(6,14),(6,17),(7,15),(7,18),(8,17),(8,18),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,12),(16,13),(17,10),(17,16),(18,11),(18,16),(19,15)],20)
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,3,1,4]=>[8,7,5,6,2,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(2,12),(3,9),(4,9),(5,16),(6,16),(7,16),(8,16),(9,11),(9,12),(10,14),(11,15),(12,14),(12,15),(14,13),(15,13),(16,11)],17)
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[7,5,8,6,2,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,10),(8,10),(10,9),(11,9)],12)
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[5,8,7,6,2,4,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,14),(3,14),(4,14),(5,14),(6,10),(7,9),(8,9),(8,10),(9,13),(10,13),(11,12),(13,11),(14,12)],15)
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,1,2,4]=>[8,7,6,5,3,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,19),(2,19),(3,19),(4,19),(5,14),(6,14),(6,17),(7,15),(7,18),(8,17),(8,18),(10,12),(11,13),(12,9),(13,9),(14,10),(15,11),(16,12),(16,13),(17,10),(17,16),(18,11),(18,16),(19,15)],20)
[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[6,8,5,7,3,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,10),(8,10),(10,9),(11,9)],12)
[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[5,8,7,6,3,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,14),(3,14),(4,14),(5,14),(6,10),(7,9),(8,9),(8,10),(9,13),(10,13),(11,12),(13,11),(14,12)],15)
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,1,3,4]=>[8,7,6,5,2,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,18),(2,18),(3,17),(4,17),(5,16),(6,15),(6,20),(7,16),(7,21),(8,20),(8,21),(10,15),(11,13),(12,14),(13,9),(14,9),(15,11),(16,12),(17,10),(18,10),(19,13),(19,14),(20,11),(20,19),(21,12),(21,19)],22)
[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[6,5,8,7,2,1,4,3]=>([(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),(6,12),(7,11),(8,11),(9,14),(10,14),(11,13),(12,13),(13,15),(14,15)],16)
[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[5,8,7,6,2,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,10),(3,9),(4,12),(5,12),(6,11),(7,11),(8,9),(8,10),(9,15),(10,15),(11,14),(12,14),(13,16),(14,16),(15,13)],17)
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[7,5,8,6,1,4,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,14),(3,14),(4,14),(5,14),(6,10),(7,9),(8,9),(8,10),(9,13),(10,13),(11,12),(13,11),(14,12)],15)
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[5,8,7,6,1,4,3,2]=>([(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)
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[8,7,6,4,3,2,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,18),(3,17),(4,19),(5,15),(5,21),(6,17),(6,20),(7,18),(7,20),(8,19),(8,21),(10,16),(11,10),(12,10),(13,9),(14,9),(15,13),(16,15),(17,11),(18,12),(19,14),(20,11),(20,12),(21,13),(21,14)],22)
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[6,7,8,3,2,4,1,5]=>[6,8,7,3,2,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,13),(3,13),(4,13),(5,9),(6,9),(7,10),(8,10),(9,11),(10,13),(11,12),(13,12)],14)
[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[7,8,3,4,5,2,1,6]=>[7,8,3,6,5,2,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,12),(10,13),(11,13),(13,12)],14)
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[8,5,6,4,2,3,1,7]=>[8,5,7,4,2,6,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11)
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,3,1,2,7]=>[8,6,4,7,3,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11)
[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[8,5,7,3,6,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11)
[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[8,4,5,3,6,1,2,7]=>[8,4,7,3,6,1,5,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11)
[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,1,2,3,7]=>[8,5,7,4,1,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[8,5,6,3,2,1,4,7]=>[8,5,7,3,2,1,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,13),(3,13),(4,13),(5,10),(6,9),(7,11),(8,9),(8,10),(9,12),(10,12),(12,13),(13,11)],14)
[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[8,5,7,2,6,1,4,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,11),(6,9),(7,9),(8,10),(9,11),(11,10)],12)
[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[8,4,5,2,3,1,6,7]=>[8,4,7,2,6,1,5,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,10),(8,9),(10,9)],11)
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[8,5,4,2,1,3,6,7]=>[8,5,4,2,1,7,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,13),(2,11),(3,11),(4,10),(5,10),(6,9),(7,9),(8,12),(9,13),(10,13),(11,13),(13,12)],14)
[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>[8,3,1,7,6,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,16),(4,10),(5,9),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(13,15),(14,15),(15,16),(16,12)],17)
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,2,3,1,8]=>[7,5,8,4,2,6,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,2,3,1,8]=>[5,8,7,4,2,6,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[6,7,3,4,2,5,1,8]=>[6,8,3,7,2,5,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[7,5,3,4,2,6,1,8]=>[7,5,3,8,2,6,1,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>[7,4,5,2,3,6,1,8]=>[7,4,8,2,6,5,1,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,10),(2,10),(3,10),(4,10),(5,10),(6,10),(7,9),(8,9),(9,10)],11)
[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[4,8,3,7,2,6,1,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[6,7,3,4,5,1,2,8]=>[6,8,3,7,5,1,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,1,2,3,8]=>[5,8,7,4,1,6,3,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[7,5,3,1,2,4,6,8]=>[7,5,3,1,8,6,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[4,8,7,3,2,1,6,5]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,14),(2,10),(3,9),(4,12),(5,12),(6,11),(7,11),(8,9),(8,10),(9,13),(10,13),(11,14),(12,14),(13,14)],15)
[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[5,6,4,3,1,2,7,8]=>[5,8,4,3,1,7,6,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)
[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[5,6,3,4,1,2,7,8]=>[5,8,3,7,1,6,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,9),(2,9),(3,9),(4,9),(5,9),(6,9),(7,9),(8,9)],10)
[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[5,4,6,2,1,3,7,8]=>[5,4,8,2,1,7,6,3]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,12),(10,12),(11,12)],13)
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[5,3,2,4,1,6,7,8]=>[5,3,2,8,1,7,6,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,11),(2,11),(3,11),(4,11),(5,10),(6,10),(7,9),(8,9),(9,11),(10,11)],12)
[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[3,8,2,7,1,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,12),(2,12),(3,12),(4,12),(5,12),(6,10),(7,9),(8,9),(8,10),(9,11),(10,11),(11,12)],13)
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[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)
[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[3,8,2,1,7,6,5,4]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,16),(2,16),(3,10),(4,9),(5,12),(6,12),(7,9),(7,11),(8,10),(8,11),(9,13),(10,14),(11,13),(11,14),(12,16),(13,15),(14,15),(15,16)],17)
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[3,4,1,2,5,6,7,8]=>[3,8,1,7,6,5,4,2]=>([(0,1),(0,2),(0,3),(0,4),(0,5),(0,6),(0,7),(0,8),(1,15),(2,15),(3,15),(4,15),(5,10),(6,9),(7,9),(7,11),(8,10),(8,11),(9,12),(10,13),(11,12),(11,13),(12,14),(13,14),(14,15)],16)
Map
to 132-avoiding permutation
Description
Return a 132-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 maximal element of the 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 maximal element of the Sylvester class.
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a $123$-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
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.
searching the database
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