Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00089: Permutations —Inverse Kreweras complement⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00089: Permutations —Inverse Kreweras complement⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1]
[.,[.,.]]=>[2,1]=>[1,2]=>[1,2]
[[.,.],.]=>[1,2]=>[2,1]=>[2,1]
[.,[.,[.,.]]]=>[3,2,1]=>[2,1,3]=>[2,1,3]
[.,[[.,.],.]]=>[2,3,1]=>[1,2,3]=>[1,2,3]
[[.,.],[.,.]]=>[3,1,2]=>[3,1,2]=>[3,1,2]
[[.,[.,.]],.]=>[2,1,3]=>[1,3,2]=>[1,3,2]
[[[.,.],.],.]=>[1,2,3]=>[2,3,1]=>[3,2,1]
[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[3,2,1,4]=>[2,3,1,4]
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[3,1,2,4]=>[3,1,2,4]
[.,[[.,.],[.,.]]]=>[4,2,3,1]=>[2,3,1,4]=>[3,2,1,4]
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[2,1,3,4]=>[2,1,3,4]
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4]
[[.,.],[.,[.,.]]]=>[4,3,1,2]=>[4,2,1,3]=>[2,4,1,3]
[[.,.],[[.,.],.]]=>[3,4,1,2]=>[4,1,2,3]=>[4,1,2,3]
[[.,[.,.]],[.,.]]=>[4,2,1,3]=>[2,4,1,3]=>[4,2,1,3]
[[[.,.],.],[.,.]]=>[4,1,2,3]=>[3,4,1,2]=>[4,1,3,2]
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[2,1,4,3]=>[2,1,4,3]
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[1,2,4,3]=>[1,2,4,3]
[[[.,.],[.,.]],.]=>[3,1,2,4]=>[3,1,4,2]=>[3,4,1,2]
[[[.,[.,.]],.],.]=>[2,1,3,4]=>[1,3,4,2]=>[1,4,3,2]
[[[[.,.],.],.],.]=>[1,2,3,4]=>[2,3,4,1]=>[4,2,3,1]
[.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[4,3,2,1,5]=>[2,3,4,1,5]
[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[4,3,1,2,5]=>[3,1,4,2,5]
[.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[4,2,3,1,5]=>[3,4,2,1,5]
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[4,2,1,3,5]=>[2,4,1,3,5]
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[4,1,2,3,5]=>[4,1,2,3,5]
[.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[3,4,2,1,5]=>[2,4,3,1,5]
[.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[3,4,1,2,5]=>[4,1,3,2,5]
[.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[3,2,4,1,5]=>[4,3,2,1,5]
[.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[2,3,4,1,5]=>[4,2,3,1,5]
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[3,2,1,4,5]=>[2,3,1,4,5]
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[3,1,2,4,5]=>[3,1,2,4,5]
[.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[2,3,1,4,5]=>[3,2,1,4,5]
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[2,1,3,4,5]=>[2,1,3,4,5]
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[5,3,2,1,4]=>[2,3,5,1,4]
[[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[5,3,1,2,4]=>[3,1,5,2,4]
[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[5,2,3,1,4]=>[3,5,2,1,4]
[[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[5,2,1,3,4]=>[2,5,1,3,4]
[[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[5,1,2,3,4]=>[5,1,2,3,4]
[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[3,5,2,1,4]=>[2,5,3,1,4]
[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[3,5,1,2,4]=>[5,1,3,2,4]
[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[4,5,2,1,3]=>[2,5,1,4,3]
[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3]
[[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[3,2,5,1,4]=>[5,3,2,1,4]
[[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]
[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[4,2,5,1,3]=>[5,4,1,2,3]
[[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[2,4,5,1,3]=>[5,2,1,4,3]
[[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[3,4,5,1,2]=>[5,1,3,4,2]
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[3,2,1,5,4]=>[2,3,1,5,4]
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[3,1,2,5,4]=>[3,1,2,5,4]
[[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[2,3,1,5,4]=>[3,2,1,5,4]
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[2,1,3,5,4]=>[2,1,3,5,4]
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[1,2,3,5,4]=>[1,2,3,5,4]
[[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[4,2,1,5,3]=>[2,4,5,1,3]
[[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[4,1,2,5,3]=>[4,1,5,2,3]
[[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[2,4,1,5,3]=>[4,2,5,1,3]
[[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[3,4,1,5,2]=>[4,5,3,1,2]
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[2,1,4,5,3]=>[2,1,5,4,3]
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[1,2,4,5,3]=>[1,2,5,4,3]
[[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[3,1,4,5,2]=>[3,5,1,4,2]
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[1,3,4,5,2]=>[1,5,3,4,2]
[[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[5,2,3,4,1]
[.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[5,4,3,1,2,6]=>[3,1,4,5,2,6]
[.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[5,4,2,3,1,6]=>[3,4,2,5,1,6]
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[5,4,2,1,3,6]=>[2,4,1,5,3,6]
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6]
[.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[5,3,4,2,1,6]=>[2,4,5,3,1,6]
[.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6]
[.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[5,3,2,4,1,6]=>[4,3,5,2,1,6]
[.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[5,2,3,4,1,6]=>[4,5,2,3,1,6]
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[5,3,2,1,4,6]=>[2,3,5,1,4,6]
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6]
[.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[5,2,3,1,4,6]=>[3,5,2,1,4,6]
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6]
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6]
[.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[4,5,3,2,1,6]=>[2,3,5,4,1,6]
[.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[4,5,3,1,2,6]=>[3,1,5,4,2,6]
[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[4,5,2,3,1,6]=>[3,5,2,4,1,6]
[.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[4,5,2,1,3,6]=>[2,5,1,4,3,6]
[.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6]
[.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[4,3,5,2,1,6]=>[2,5,4,3,1,6]
[.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6]
[.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[3,4,5,2,1,6]=>[2,5,3,4,1,6]
[.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6]
[.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[4,3,2,5,1,6]=>[5,3,4,2,1,6]
[.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[4,2,3,5,1,6]=>[5,4,2,3,1,6]
[.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6]
[.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6]
[.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6]
[.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[4,2,3,1,5,6]=>[3,4,2,1,5,6]
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6]
[.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[3,4,2,1,5,6]=>[2,4,3,1,5,6]
[.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6]
[.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6]
[.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6]
[.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[6,4,3,2,1,5]=>[2,3,4,6,1,5]
[[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[6,4,3,1,2,5]=>[3,1,4,6,2,5]
[[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[6,4,2,3,1,5]=>[3,4,2,6,1,5]
[[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[6,4,2,1,3,5]=>[2,4,1,6,3,5]
[[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5]
[[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[6,3,4,2,1,5]=>[2,4,6,3,1,5]
[[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5]
[[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[6,3,2,4,1,5]=>[4,3,6,2,1,5]
[[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[6,2,3,4,1,5]=>[4,6,2,3,1,5]
[[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[6,3,2,1,4,5]=>[2,3,6,1,4,5]
[[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5]
[[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[6,2,3,1,4,5]=>[3,6,2,1,4,5]
[[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5]
[[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5]
[[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[4,6,3,2,1,5]=>[2,3,6,4,1,5]
[[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[4,6,3,1,2,5]=>[3,1,6,4,2,5]
[[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[4,6,2,3,1,5]=>[3,6,2,4,1,5]
[[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[4,6,2,1,3,5]=>[2,6,1,4,3,5]
[[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5]
[[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[5,6,3,2,1,4]=>[2,3,6,1,5,4]
[[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[5,6,3,1,2,4]=>[3,1,6,2,5,4]
[[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[5,6,2,3,1,4]=>[3,6,2,1,5,4]
[[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[5,6,2,1,3,4]=>[2,6,1,3,5,4]
[[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4]
[[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[4,3,6,2,1,5]=>[2,6,4,3,1,5]
[[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[4,3,6,1,2,5]=>[6,1,4,3,2,5]
[[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[3,4,6,2,1,5]=>[2,6,3,4,1,5]
[[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5]
[[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[5,3,6,2,1,4]=>[2,6,5,1,3,4]
[[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[5,3,6,1,2,4]=>[6,1,5,2,3,4]
[[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[3,5,6,2,1,4]=>[2,6,3,1,5,4]
[[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4]
[[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[4,5,6,2,1,3]=>[2,6,1,4,5,3]
[[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3]
[[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[4,3,2,6,1,5]=>[6,3,4,2,1,5]
[[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[4,2,3,6,1,5]=>[6,4,2,3,1,5]
[[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[3,4,2,6,1,5]=>[6,4,3,2,1,5]
[[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[3,2,4,6,1,5]=>[6,3,2,4,1,5]
[[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]
[[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[5,3,2,6,1,4]=>[6,3,5,1,2,4]
[[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[5,2,3,6,1,4]=>[6,5,2,1,3,4]
[[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[3,5,2,6,1,4]=>[6,5,3,1,2,4]
[[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[4,5,2,6,1,3]=>[6,5,1,4,2,3]
[[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[3,2,5,6,1,4]=>[6,3,2,1,5,4]
[[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]
[[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[4,2,5,6,1,3]=>[6,4,1,2,5,3]
[[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]
[[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2]
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[4,3,2,1,6,5]=>[2,3,4,1,6,5]
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[4,3,1,2,6,5]=>[3,1,4,2,6,5]
[[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[4,2,3,1,6,5]=>[3,4,2,1,6,5]
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[4,2,1,3,6,5]=>[2,4,1,3,6,5]
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[4,1,2,3,6,5]=>[4,1,2,3,6,5]
[[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[3,4,2,1,6,5]=>[2,4,3,1,6,5]
[[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[3,4,1,2,6,5]=>[4,1,3,2,6,5]
[[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[3,2,4,1,6,5]=>[4,3,2,1,6,5]
[[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5]
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5]
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[3,1,2,4,6,5]=>[3,1,2,4,6,5]
[[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5]
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[5,3,2,1,6,4]=>[2,3,5,6,1,4]
[[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[5,3,1,2,6,4]=>[3,1,5,6,2,4]
[[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[5,2,3,1,6,4]=>[3,5,2,6,1,4]
[[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[5,2,1,3,6,4]=>[2,5,1,6,3,4]
[[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[5,1,2,3,6,4]=>[5,1,2,6,3,4]
[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[3,5,2,1,6,4]=>[2,5,3,6,1,4]
[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[3,5,1,2,6,4]=>[5,1,3,6,2,4]
[[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[4,5,2,1,6,3]=>[2,5,6,4,1,3]
[[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[4,5,1,2,6,3]=>[5,1,6,4,2,3]
[[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[3,2,5,1,6,4]=>[5,3,2,6,1,4]
[[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[2,3,5,1,6,4]=>[5,2,3,6,1,4]
[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[4,2,5,1,6,3]=>[5,4,6,2,1,3]
[[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[2,4,5,1,6,3]=>[5,2,6,4,1,3]
[[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[3,4,5,1,6,2]=>[5,6,3,4,1,2]
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[3,2,1,5,6,4]=>[2,3,1,6,5,4]
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[3,1,2,5,6,4]=>[3,1,2,6,5,4]
[[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4]
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4]
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[4,2,1,5,6,3]=>[2,4,6,1,5,3]
[[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[4,1,2,5,6,3]=>[4,1,6,2,5,3]
[[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[2,4,1,5,6,3]=>[4,2,6,1,5,3]
[[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[3,4,1,5,6,2]=>[4,6,3,1,5,2]
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3]
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[3,1,4,5,6,2]=>[3,6,1,4,5,2]
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[6,5,4,3,1,2,7]=>[3,1,4,5,6,2,7]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[6,5,4,2,3,1,7]=>[3,4,2,5,6,1,7]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[6,5,4,2,1,3,7]=>[2,4,1,5,6,3,7]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[6,5,4,1,2,3,7]=>[4,1,2,5,6,3,7]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[6,5,3,4,1,2,7]=>[4,1,5,3,6,2,7]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[6,5,3,2,4,1,7]=>[4,3,5,2,6,1,7]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[6,5,2,3,4,1,7]=>[4,5,2,3,6,1,7]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[6,5,3,2,1,4,7]=>[2,3,5,1,6,4,7]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[6,5,3,1,2,4,7]=>[3,1,5,2,6,4,7]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[6,5,2,3,1,4,7]=>[3,5,2,1,6,4,7]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[6,5,2,1,3,4,7]=>[2,5,1,3,6,4,7]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[6,4,5,3,2,1,7]=>[2,3,5,6,4,1,7]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[6,4,5,3,1,2,7]=>[3,1,5,6,4,2,7]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[6,4,5,2,3,1,7]=>[3,5,2,6,4,1,7]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[6,4,5,2,1,3,7]=>[2,5,1,6,4,3,7]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[6,4,5,1,2,3,7]=>[5,1,2,6,4,3,7]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[6,4,3,5,2,1,7]=>[2,5,4,6,3,1,7]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[6,4,3,5,1,2,7]=>[5,1,4,6,3,2,7]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[6,3,4,5,2,1,7]=>[2,5,6,3,4,1,7]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[6,3,4,5,1,2,7]=>[5,1,6,3,4,2,7]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[6,4,2,3,5,1,7]=>[5,4,2,6,3,1,7]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[6,3,4,2,5,1,7]=>[5,4,6,3,2,1,7]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[6,3,2,4,5,1,7]=>[5,3,6,2,4,1,7]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[6,2,3,4,5,1,7]=>[5,6,2,3,4,1,7]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[6,4,3,2,1,5,7]=>[2,3,4,6,1,5,7]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[6,4,3,1,2,5,7]=>[3,1,4,6,2,5,7]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[6,4,2,3,1,5,7]=>[3,4,2,6,1,5,7]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[6,4,2,1,3,5,7]=>[2,4,1,6,3,5,7]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[6,4,1,2,3,5,7]=>[4,1,2,6,3,5,7]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[6,3,4,2,1,5,7]=>[2,4,6,3,1,5,7]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[6,3,4,1,2,5,7]=>[4,1,6,3,2,5,7]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[6,3,2,4,1,5,7]=>[4,3,6,2,1,5,7]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[6,2,3,4,1,5,7]=>[4,6,2,3,1,5,7]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[6,3,2,1,4,5,7]=>[2,3,6,1,4,5,7]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[6,3,1,2,4,5,7]=>[3,1,6,2,4,5,7]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[6,2,3,1,4,5,7]=>[3,6,2,1,4,5,7]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[5,6,4,3,1,2,7]=>[3,1,4,6,5,2,7]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[5,6,4,2,3,1,7]=>[3,4,2,6,5,1,7]
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[5,6,4,2,1,3,7]=>[2,4,1,6,5,3,7]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[5,6,4,1,2,3,7]=>[4,1,2,6,5,3,7]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[5,6,3,4,2,1,7]=>[2,4,6,3,5,1,7]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[5,6,3,4,1,2,7]=>[4,1,6,3,5,2,7]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[5,6,3,2,4,1,7]=>[4,3,6,2,5,1,7]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[5,6,2,3,4,1,7]=>[4,6,2,3,5,1,7]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[5,6,3,2,1,4,7]=>[2,3,6,1,5,4,7]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[5,6,3,1,2,4,7]=>[3,1,6,2,5,4,7]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[5,6,2,3,1,4,7]=>[3,6,2,1,5,4,7]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[5,6,2,1,3,4,7]=>[2,6,1,3,5,4,7]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[5,4,6,3,2,1,7]=>[2,3,6,5,4,1,7]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[5,4,6,3,1,2,7]=>[3,1,6,5,4,2,7]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[5,4,6,2,3,1,7]=>[3,6,2,5,4,1,7]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[5,4,6,2,1,3,7]=>[2,6,1,5,4,3,7]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[5,4,6,1,2,3,7]=>[6,1,2,5,4,3,7]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[4,5,6,3,1,2,7]=>[3,1,6,4,5,2,7]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[4,5,6,2,3,1,7]=>[3,6,2,4,5,1,7]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[4,5,6,2,1,3,7]=>[2,6,1,4,5,3,7]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[5,4,3,6,1,2,7]=>[6,1,4,5,3,2,7]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[5,3,4,6,2,1,7]=>[2,6,5,3,4,1,7]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[5,3,4,6,1,2,7]=>[6,1,5,3,4,2,7]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[4,5,3,6,1,2,7]=>[6,1,5,4,3,2,7]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[4,3,5,6,2,1,7]=>[2,6,4,3,5,1,7]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[4,3,5,6,1,2,7]=>[6,1,4,3,5,2,7]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[3,4,5,6,1,2,7]=>[6,1,3,4,5,2,7]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[5,4,2,3,6,1,7]=>[6,4,2,5,3,1,7]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[5,3,4,2,6,1,7]=>[6,4,5,3,2,1,7]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[5,3,2,4,6,1,7]=>[6,3,5,2,4,1,7]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[5,2,3,4,6,1,7]=>[6,5,2,3,4,1,7]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[4,5,2,3,6,1,7]=>[6,5,2,4,3,1,7]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[4,3,2,5,6,1,7]=>[6,3,4,2,5,1,7]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[4,2,3,5,6,1,7]=>[6,4,2,3,5,1,7]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[5,4,3,1,2,6,7]=>[3,1,4,5,2,6,7]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[5,4,2,3,1,6,7]=>[3,4,2,5,1,6,7]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[5,4,2,1,3,6,7]=>[2,4,1,5,3,6,7]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[5,3,4,2,1,6,7]=>[2,4,5,3,1,6,7]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[5,3,4,1,2,6,7]=>[4,1,5,3,2,6,7]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[5,3,2,4,1,6,7]=>[4,3,5,2,1,6,7]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[5,2,3,4,1,6,7]=>[4,5,2,3,1,6,7]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[5,3,2,1,4,6,7]=>[2,3,5,1,4,6,7]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[5,3,1,2,4,6,7]=>[3,1,5,2,4,6,7]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[5,2,3,1,4,6,7]=>[3,5,2,1,4,6,7]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[4,5,3,1,2,6,7]=>[3,1,5,4,2,6,7]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[4,5,2,3,1,6,7]=>[3,5,2,4,1,6,7]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[4,5,2,1,3,6,7]=>[2,5,1,4,3,6,7]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[4,3,5,2,1,6,7]=>[2,5,4,3,1,6,7]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[4,3,5,1,2,6,7]=>[5,1,4,3,2,6,7]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[3,4,5,2,1,6,7]=>[2,5,3,4,1,6,7]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[3,4,5,1,2,6,7]=>[5,1,3,4,2,6,7]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[4,3,2,5,1,6,7]=>[5,3,4,2,1,6,7]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[4,2,3,5,1,6,7]=>[5,4,2,3,1,6,7]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[4,2,3,1,5,6,7]=>[3,4,2,1,5,6,7]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[7,5,4,3,2,1,6]=>[2,3,4,5,7,1,6]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[7,5,4,3,1,2,6]=>[3,1,4,5,7,2,6]
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[7,5,4,2,3,1,6]=>[3,4,2,5,7,1,6]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[7,5,4,2,1,3,6]=>[2,4,1,5,7,3,6]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[7,5,4,1,2,3,6]=>[4,1,2,5,7,3,6]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[7,5,3,4,2,1,6]=>[2,4,5,3,7,1,6]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[7,5,3,4,1,2,6]=>[4,1,5,3,7,2,6]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[7,5,3,2,4,1,6]=>[4,3,5,2,7,1,6]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[7,5,2,3,4,1,6]=>[4,5,2,3,7,1,6]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[7,5,3,2,1,4,6]=>[2,3,5,1,7,4,6]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[7,5,3,1,2,4,6]=>[3,1,5,2,7,4,6]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[7,5,2,3,1,4,6]=>[3,5,2,1,7,4,6]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[7,5,2,1,3,4,6]=>[2,5,1,3,7,4,6]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[7,4,5,3,2,1,6]=>[2,3,5,7,4,1,6]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[7,4,5,3,1,2,6]=>[3,1,5,7,4,2,6]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[7,4,5,2,3,1,6]=>[3,5,2,7,4,1,6]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[7,4,5,2,1,3,6]=>[2,5,1,7,4,3,6]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[7,4,5,1,2,3,6]=>[5,1,2,7,4,3,6]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[7,4,3,5,2,1,6]=>[2,5,4,7,3,1,6]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[7,4,3,5,1,2,6]=>[5,1,4,7,3,2,6]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[7,3,4,5,2,1,6]=>[2,5,7,3,4,1,6]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[7,3,4,5,1,2,6]=>[5,1,7,3,4,2,6]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[7,4,3,2,5,1,6]=>[5,3,4,7,2,1,6]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[7,4,2,3,5,1,6]=>[5,4,2,7,3,1,6]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[7,3,4,2,5,1,6]=>[5,4,7,3,2,1,6]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[7,3,2,4,5,1,6]=>[5,3,7,2,4,1,6]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[7,2,3,4,5,1,6]=>[5,7,2,3,4,1,6]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[7,4,3,1,2,5,6]=>[3,1,4,7,2,5,6]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[7,4,2,3,1,5,6]=>[3,4,2,7,1,5,6]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[7,4,1,2,3,5,6]=>[4,1,2,7,3,5,6]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[7,3,4,2,1,5,6]=>[2,4,7,3,1,5,6]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[7,3,4,1,2,5,6]=>[4,1,7,3,2,5,6]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[7,3,2,4,1,5,6]=>[4,3,7,2,1,5,6]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[7,2,3,4,1,5,6]=>[4,7,2,3,1,5,6]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[7,3,2,1,4,5,6]=>[2,3,7,1,4,5,6]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[7,2,3,1,4,5,6]=>[3,7,2,1,4,5,6]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6]
[[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[5,7,4,3,2,1,6]=>[2,3,4,7,5,1,6]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[5,7,4,3,1,2,6]=>[3,1,4,7,5,2,6]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[5,7,4,2,3,1,6]=>[3,4,2,7,5,1,6]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[5,7,4,2,1,3,6]=>[2,4,1,7,5,3,6]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[5,7,4,1,2,3,6]=>[4,1,2,7,5,3,6]
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[5,7,3,4,2,1,6]=>[2,4,7,3,5,1,6]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[5,7,3,4,1,2,6]=>[4,1,7,3,5,2,6]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[5,7,3,2,4,1,6]=>[4,3,7,2,5,1,6]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[5,7,2,3,4,1,6]=>[4,7,2,3,5,1,6]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[5,7,3,2,1,4,6]=>[2,3,7,1,5,4,6]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[5,7,3,1,2,4,6]=>[3,1,7,2,5,4,6]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[5,7,2,3,1,4,6]=>[3,7,2,1,5,4,6]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[5,7,2,1,3,4,6]=>[2,7,1,3,5,4,6]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[5,7,1,2,3,4,6]=>[7,1,2,3,5,4,6]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[6,7,4,3,2,1,5]=>[2,3,4,7,1,6,5]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[6,7,4,3,1,2,5]=>[3,1,4,7,2,6,5]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[6,7,4,2,3,1,5]=>[3,4,2,7,1,6,5]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[6,7,4,2,1,3,5]=>[2,4,1,7,3,6,5]
[[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[6,7,4,1,2,3,5]=>[4,1,2,7,3,6,5]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[6,7,3,4,2,1,5]=>[2,4,7,3,1,6,5]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[6,7,3,4,1,2,5]=>[4,1,7,3,2,6,5]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[6,7,3,2,4,1,5]=>[4,3,7,2,1,6,5]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[6,7,2,3,4,1,5]=>[4,7,2,3,1,6,5]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[6,7,3,2,1,4,5]=>[2,3,7,1,4,6,5]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[6,7,3,1,2,4,5]=>[3,1,7,2,4,6,5]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[6,7,2,3,1,4,5]=>[3,7,2,1,4,6,5]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[6,7,2,1,3,4,5]=>[2,7,1,3,4,6,5]
[[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[5,4,7,3,2,1,6]=>[2,3,7,5,4,1,6]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[5,4,7,3,1,2,6]=>[3,1,7,5,4,2,6]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[5,4,7,2,3,1,6]=>[3,7,2,5,4,1,6]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[5,4,7,2,1,3,6]=>[2,7,1,5,4,3,6]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[5,4,7,1,2,3,6]=>[7,1,2,5,4,3,6]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[4,5,7,3,2,1,6]=>[2,3,7,4,5,1,6]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[4,5,7,3,1,2,6]=>[3,1,7,4,5,2,6]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[4,5,7,2,3,1,6]=>[3,7,2,4,5,1,6]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[4,5,7,2,1,3,6]=>[2,7,1,4,5,3,6]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[4,5,7,1,2,3,6]=>[7,1,2,4,5,3,6]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[6,4,7,3,2,1,5]=>[2,3,7,6,1,4,5]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[6,4,7,3,1,2,5]=>[3,1,7,6,2,4,5]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[6,4,7,2,3,1,5]=>[3,7,2,6,1,4,5]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[6,4,7,2,1,3,5]=>[2,7,1,6,3,4,5]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[6,4,7,1,2,3,5]=>[7,1,2,6,3,4,5]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[4,6,7,3,2,1,5]=>[2,3,7,4,1,6,5]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[4,6,7,3,1,2,5]=>[3,1,7,4,2,6,5]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[4,6,7,2,3,1,5]=>[3,7,2,4,1,6,5]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[4,6,7,2,1,3,5]=>[2,7,1,4,3,6,5]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[4,6,7,1,2,3,5]=>[7,1,2,4,3,6,5]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[5,6,7,3,2,1,4]=>[2,3,7,1,5,6,4]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[5,6,7,3,1,2,4]=>[3,1,7,2,5,6,4]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[5,6,7,2,3,1,4]=>[3,7,2,1,5,6,4]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[5,6,7,2,1,3,4]=>[2,7,1,3,5,6,4]
[[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[5,4,3,7,2,1,6]=>[2,7,4,5,3,1,6]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[5,4,3,7,1,2,6]=>[7,1,4,5,3,2,6]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[5,3,4,7,2,1,6]=>[2,7,5,3,4,1,6]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[5,3,4,7,1,2,6]=>[7,1,5,3,4,2,6]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[4,5,3,7,2,1,6]=>[2,7,5,4,3,1,6]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[4,5,3,7,1,2,6]=>[7,1,5,4,3,2,6]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[4,3,5,7,2,1,6]=>[2,7,4,3,5,1,6]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[4,3,5,7,1,2,6]=>[7,1,4,3,5,2,6]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[3,4,5,7,2,1,6]=>[2,7,3,4,5,1,6]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[3,4,5,7,1,2,6]=>[7,1,3,4,5,2,6]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[6,4,3,7,2,1,5]=>[2,7,4,6,1,3,5]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[6,4,3,7,1,2,5]=>[7,1,4,6,2,3,5]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[6,3,4,7,2,1,5]=>[2,7,6,3,1,4,5]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[6,3,4,7,1,2,5]=>[7,1,6,3,2,4,5]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[4,6,3,7,2,1,5]=>[2,7,6,4,1,3,5]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[4,6,3,7,1,2,5]=>[7,1,6,4,2,3,5]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[5,6,3,7,2,1,4]=>[2,7,6,1,5,3,4]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[5,6,3,7,1,2,4]=>[7,1,6,2,5,3,4]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[4,3,6,7,2,1,5]=>[2,7,4,3,1,6,5]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[4,3,6,7,1,2,5]=>[7,1,4,3,2,6,5]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[3,4,6,7,2,1,5]=>[2,7,3,4,1,6,5]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[3,4,6,7,1,2,5]=>[7,1,3,4,2,6,5]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[5,3,6,7,2,1,4]=>[2,7,5,1,3,6,4]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[5,3,6,7,1,2,4]=>[7,1,5,2,3,6,4]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[3,5,6,7,2,1,4]=>[2,7,3,1,5,6,4]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[3,5,6,7,1,2,4]=>[7,1,3,2,5,6,4]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[4,5,6,7,2,1,3]=>[2,7,1,4,5,6,3]
[[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[4,5,6,7,1,2,3]=>[7,1,2,4,5,6,3]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[5,4,3,2,7,1,6]=>[7,3,4,5,2,1,6]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[5,4,2,3,7,1,6]=>[7,4,2,5,3,1,6]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[5,3,4,2,7,1,6]=>[7,4,5,3,2,1,6]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[5,3,2,4,7,1,6]=>[7,3,5,2,4,1,6]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[5,2,3,4,7,1,6]=>[7,5,2,3,4,1,6]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[4,5,3,2,7,1,6]=>[7,3,5,4,2,1,6]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[4,5,2,3,7,1,6]=>[7,5,2,4,3,1,6]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[4,3,5,2,7,1,6]=>[7,5,4,3,2,1,6]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[3,4,5,2,7,1,6]=>[7,5,3,4,2,1,6]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[4,3,2,5,7,1,6]=>[7,3,4,2,5,1,6]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[4,2,3,5,7,1,6]=>[7,4,2,3,5,1,6]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[3,4,2,5,7,1,6]=>[7,4,3,2,5,1,6]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[3,2,4,5,7,1,6]=>[7,3,2,4,5,1,6]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[6,4,3,2,7,1,5]=>[7,3,4,6,1,2,5]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[6,4,2,3,7,1,5]=>[7,4,2,6,1,3,5]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[6,3,4,2,7,1,5]=>[7,4,6,3,1,2,5]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[6,3,2,4,7,1,5]=>[7,3,6,2,1,4,5]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[6,2,3,4,7,1,5]=>[7,6,2,3,1,4,5]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[4,6,3,2,7,1,5]=>[7,3,6,4,1,2,5]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[4,6,2,3,7,1,5]=>[7,6,2,4,1,3,5]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[5,6,3,2,7,1,4]=>[7,3,6,1,5,2,4]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[5,6,2,3,7,1,4]=>[7,6,2,1,5,3,4]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[4,3,6,2,7,1,5]=>[7,6,4,3,1,2,5]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[3,4,6,2,7,1,5]=>[7,6,3,4,1,2,5]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[5,3,6,2,7,1,4]=>[7,6,5,1,3,2,4]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[3,5,6,2,7,1,4]=>[7,6,3,1,5,2,4]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[4,5,6,2,7,1,3]=>[7,6,1,4,5,2,3]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[4,3,2,6,7,1,5]=>[7,3,4,2,1,6,5]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[4,2,3,6,7,1,5]=>[7,4,2,3,1,6,5]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[3,4,2,6,7,1,5]=>[7,4,3,2,1,6,5]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[3,2,4,6,7,1,5]=>[7,3,2,4,1,6,5]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[2,3,4,6,7,1,5]=>[7,2,3,4,1,6,5]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[5,3,2,6,7,1,4]=>[7,3,5,1,2,6,4]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[5,2,3,6,7,1,4]=>[7,5,2,1,3,6,4]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[3,5,2,6,7,1,4]=>[7,5,3,1,2,6,4]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[4,5,2,6,7,1,3]=>[7,5,1,4,2,6,3]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[3,2,5,6,7,1,4]=>[7,3,2,1,5,6,4]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[2,3,5,6,7,1,4]=>[7,2,3,1,5,6,4]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[4,2,5,6,7,1,3]=>[7,4,1,2,5,6,3]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[2,4,5,6,7,1,3]=>[7,2,1,4,5,6,3]
[[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[3,4,5,6,7,1,2]=>[7,1,3,4,5,6,2]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6]
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[5,4,3,1,2,7,6]=>[3,1,4,5,2,7,6]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[5,4,2,3,1,7,6]=>[3,4,2,5,1,7,6]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[5,4,2,1,3,7,6]=>[2,4,1,5,3,7,6]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[5,4,1,2,3,7,6]=>[4,1,2,5,3,7,6]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[5,3,4,2,1,7,6]=>[2,4,5,3,1,7,6]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[5,3,4,1,2,7,6]=>[4,1,5,3,2,7,6]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[5,3,2,4,1,7,6]=>[4,3,5,2,1,7,6]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[5,2,3,4,1,7,6]=>[4,5,2,3,1,7,6]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[5,3,2,1,4,7,6]=>[2,3,5,1,4,7,6]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[5,3,1,2,4,7,6]=>[3,1,5,2,4,7,6]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[5,2,3,1,4,7,6]=>[3,5,2,1,4,7,6]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[5,2,1,3,4,7,6]=>[2,5,1,3,4,7,6]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[4,5,3,2,1,7,6]=>[2,3,5,4,1,7,6]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[4,5,3,1,2,7,6]=>[3,1,5,4,2,7,6]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[4,5,2,3,1,7,6]=>[3,5,2,4,1,7,6]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[4,5,2,1,3,7,6]=>[2,5,1,4,3,7,6]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[4,5,1,2,3,7,6]=>[5,1,2,4,3,7,6]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[4,3,5,2,1,7,6]=>[2,5,4,3,1,7,6]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[4,3,5,1,2,7,6]=>[5,1,4,3,2,7,6]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[3,4,5,2,1,7,6]=>[2,5,3,4,1,7,6]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[3,4,5,1,2,7,6]=>[5,1,3,4,2,7,6]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[4,3,2,5,1,7,6]=>[5,3,4,2,1,7,6]
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[4,2,3,5,1,7,6]=>[5,4,2,3,1,7,6]
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6]
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[3,2,4,5,1,7,6]=>[5,3,2,4,1,7,6]
[[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6]
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6]
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[4,3,1,2,5,7,6]=>[3,1,4,2,5,7,6]
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[4,2,3,1,5,7,6]=>[3,4,2,1,5,7,6]
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[4,2,1,3,5,7,6]=>[2,4,1,3,5,7,6]
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6]
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[3,4,2,1,5,7,6]=>[2,4,3,1,5,7,6]
[[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[3,4,1,2,5,7,6]=>[4,1,3,2,5,7,6]
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6]
[[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6]
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6]
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6]
[[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[2,3,1,4,5,7,6]=>[3,2,1,4,5,7,6]
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[6,4,3,2,1,7,5]=>[2,3,4,6,7,1,5]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[6,4,3,1,2,7,5]=>[3,1,4,6,7,2,5]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[6,4,2,3,1,7,5]=>[3,4,2,6,7,1,5]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[6,4,2,1,3,7,5]=>[2,4,1,6,7,3,5]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[6,4,1,2,3,7,5]=>[4,1,2,6,7,3,5]
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[6,3,4,2,1,7,5]=>[2,4,6,3,7,1,5]
[[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[6,3,4,1,2,7,5]=>[4,1,6,3,7,2,5]
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[6,3,2,4,1,7,5]=>[4,3,6,2,7,1,5]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[6,2,3,4,1,7,5]=>[4,6,2,3,7,1,5]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[6,3,2,1,4,7,5]=>[2,3,6,1,7,4,5]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[6,3,1,2,4,7,5]=>[3,1,6,2,7,4,5]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[6,2,3,1,4,7,5]=>[3,6,2,1,7,4,5]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[6,2,1,3,4,7,5]=>[2,6,1,3,7,4,5]
[[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[6,1,2,3,4,7,5]=>[6,1,2,3,7,4,5]
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[4,6,3,2,1,7,5]=>[2,3,6,4,7,1,5]
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[4,6,3,1,2,7,5]=>[3,1,6,4,7,2,5]
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[4,6,2,3,1,7,5]=>[3,6,2,4,7,1,5]
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[4,6,2,1,3,7,5]=>[2,6,1,4,7,3,5]
[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[4,6,1,2,3,7,5]=>[6,1,2,4,7,3,5]
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[5,6,3,2,1,7,4]=>[2,3,6,7,5,1,4]
[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[5,6,3,1,2,7,4]=>[3,1,6,7,5,2,4]
[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[5,6,2,3,1,7,4]=>[3,6,2,7,5,1,4]
[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[5,6,2,1,3,7,4]=>[2,6,1,7,5,3,4]
[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[5,6,1,2,3,7,4]=>[6,1,2,7,5,3,4]
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[4,3,6,2,1,7,5]=>[2,6,4,3,7,1,5]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[4,3,6,1,2,7,5]=>[6,1,4,3,7,2,5]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[3,4,6,2,1,7,5]=>[2,6,3,4,7,1,5]
[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[3,4,6,1,2,7,5]=>[6,1,3,4,7,2,5]
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[5,3,6,2,1,7,4]=>[2,6,5,7,3,1,4]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[5,3,6,1,2,7,4]=>[6,1,5,7,3,2,4]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[3,5,6,2,1,7,4]=>[2,6,3,7,5,1,4]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[3,5,6,1,2,7,4]=>[6,1,3,7,5,2,4]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[4,5,6,2,1,7,3]=>[2,6,7,4,5,1,3]
[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[4,5,6,1,2,7,3]=>[6,1,7,4,5,2,3]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[4,3,2,6,1,7,5]=>[6,3,4,2,7,1,5]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[4,2,3,6,1,7,5]=>[6,4,2,3,7,1,5]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[3,4,2,6,1,7,5]=>[6,4,3,2,7,1,5]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[3,2,4,6,1,7,5]=>[6,3,2,4,7,1,5]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[2,3,4,6,1,7,5]=>[6,2,3,4,7,1,5]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[5,3,2,6,1,7,4]=>[6,3,5,7,2,1,4]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[5,2,3,6,1,7,4]=>[6,5,2,7,3,1,4]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[3,5,2,6,1,7,4]=>[6,5,3,7,2,1,4]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[4,5,2,6,1,7,3]=>[6,5,7,4,2,1,3]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[3,2,5,6,1,7,4]=>[6,3,2,7,5,1,4]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[2,3,5,6,1,7,4]=>[6,2,3,7,5,1,4]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[4,2,5,6,1,7,3]=>[6,4,7,2,5,1,3]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[2,4,5,6,1,7,3]=>[6,2,7,4,5,1,3]
[[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[3,4,5,6,1,7,2]=>[6,7,3,4,5,1,2]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[4,3,2,1,6,7,5]=>[2,3,4,1,7,6,5]
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[4,3,1,2,6,7,5]=>[3,1,4,2,7,6,5]
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[4,2,3,1,6,7,5]=>[3,4,2,1,7,6,5]
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[4,2,1,3,6,7,5]=>[2,4,1,3,7,6,5]
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[4,1,2,3,6,7,5]=>[4,1,2,3,7,6,5]
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[3,4,2,1,6,7,5]=>[2,4,3,1,7,6,5]
[[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[3,4,1,2,6,7,5]=>[4,1,3,2,7,6,5]
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5]
[[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5]
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[3,2,1,4,6,7,5]=>[2,3,1,4,7,6,5]
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[3,1,2,4,6,7,5]=>[3,1,2,4,7,6,5]
[[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5]
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5]
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[5,3,2,1,6,7,4]=>[2,3,5,7,1,6,4]
[[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[5,3,1,2,6,7,4]=>[3,1,5,7,2,6,4]
[[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[5,2,3,1,6,7,4]=>[3,5,2,7,1,6,4]
[[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[5,2,1,3,6,7,4]=>[2,5,1,7,3,6,4]
[[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[5,1,2,3,6,7,4]=>[5,1,2,7,3,6,4]
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[3,5,2,1,6,7,4]=>[2,5,3,7,1,6,4]
[[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[3,5,1,2,6,7,4]=>[5,1,3,7,2,6,4]
[[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[4,5,2,1,6,7,3]=>[2,5,7,4,1,6,3]
[[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[4,5,1,2,6,7,3]=>[5,1,7,4,2,6,3]
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[3,2,5,1,6,7,4]=>[5,3,2,7,1,6,4]
[[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[2,3,5,1,6,7,4]=>[5,2,3,7,1,6,4]
[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[4,2,5,1,6,7,3]=>[5,4,7,2,1,6,3]
[[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[2,4,5,1,6,7,3]=>[5,2,7,4,1,6,3]
[[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[3,4,5,1,6,7,2]=>[5,7,3,4,1,6,2]
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[3,2,1,5,6,7,4]=>[2,3,1,7,5,6,4]
[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[3,1,2,5,6,7,4]=>[3,1,2,7,5,6,4]
[[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[2,3,1,5,6,7,4]=>[3,2,1,7,5,6,4]
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[2,1,3,5,6,7,4]=>[2,1,3,7,5,6,4]
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]
[[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[4,2,1,5,6,7,3]=>[2,4,7,1,5,6,3]
[[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[4,1,2,5,6,7,3]=>[4,1,7,2,5,6,3]
[[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[2,4,1,5,6,7,3]=>[4,2,7,1,5,6,3]
[[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[3,4,1,5,6,7,2]=>[4,7,3,1,5,6,2]
[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[2,1,4,5,6,7,3]=>[2,1,7,4,5,6,3]
[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]
[[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[3,1,4,5,6,7,2]=>[3,7,1,4,5,6,2]
[[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]
[[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[7,6,5,4,1,2,3,8]=>[4,1,2,5,6,7,3,8]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[8,7,5,6,4,3,2,1]=>[7,6,5,3,4,2,1,8]=>[2,4,5,3,6,7,1,8]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[8,5,6,7,4,3,2,1]=>[7,6,5,2,3,4,1,8]=>[4,5,2,3,6,7,1,8]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[7,5,6,8,4,3,2,1]=>[7,6,5,2,3,1,4,8]=>[3,5,2,1,6,7,4,8]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[7,6,5,2,1,3,4,8]=>[2,5,1,3,6,7,4,8]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[7,6,5,1,2,3,4,8]=>[5,1,2,3,6,7,4,8]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[8,7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1,8]=>[2,3,5,6,4,7,1,8]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[8,6,7,4,5,3,2,1]=>[7,6,4,5,2,3,1,8]=>[3,5,2,6,4,7,1,8]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[6,7,8,4,5,3,2,1]=>[7,6,4,5,1,2,3,8]=>[5,1,2,6,4,7,3,8]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[8,5,6,4,7,3,2,1]=>[7,6,4,2,3,5,1,8]=>[5,4,2,6,3,7,1,8]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>[8,5,4,6,7,3,2,1]=>[7,6,3,2,4,5,1,8]=>[5,3,6,2,4,7,1,8]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[8,4,5,6,7,3,2,1]=>[7,6,2,3,4,5,1,8]=>[5,6,2,3,4,7,1,8]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[7,6,4,3,2,1,5,8]=>[2,3,4,6,1,7,5,8]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[7,5,6,4,8,3,2,1]=>[7,6,4,2,3,1,5,8]=>[3,4,2,6,1,7,5,8]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[7,6,4,2,1,3,5,8]=>[2,4,1,6,3,7,5,8]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[7,5,4,6,8,3,2,1]=>[7,6,3,2,4,1,5,8]=>[4,3,6,2,1,7,5,8]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[7,4,5,6,8,3,2,1]=>[7,6,2,3,4,1,5,8]=>[4,6,2,3,1,7,5,8]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[7,6,3,2,1,4,5,8]=>[2,3,6,1,4,7,5,8]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[6,4,5,7,8,3,2,1]=>[7,6,2,3,1,4,5,8]=>[3,6,2,1,4,7,5,8]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,3,4,2,1]=>[7,5,6,4,3,2,1,8]=>[2,3,4,6,7,5,1,8]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[6,7,8,5,3,4,2,1]=>[7,5,6,4,1,2,3,8]=>[4,1,2,6,7,5,3,8]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1,8]=>[2,4,6,3,7,5,1,8]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[7,8,5,6,3,4,2,1]=>[7,5,6,3,4,1,2,8]=>[4,1,6,3,7,5,2,8]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[8,5,6,7,3,4,2,1]=>[7,5,6,2,3,4,1,8]=>[4,6,2,3,7,5,1,8]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[6,7,5,8,3,4,2,1]=>[7,5,6,3,1,2,4,8]=>[3,1,6,2,7,5,4,8]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>[7,5,6,8,3,4,2,1]=>[7,5,6,2,3,1,4,8]=>[3,6,2,1,7,5,4,8]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[7,5,6,1,2,3,4,8]=>[6,1,2,3,7,5,4,8]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[6,7,8,4,3,5,2,1]=>[7,5,4,6,1,2,3,8]=>[6,1,2,5,7,4,3,8]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[8,7,6,3,4,5,2,1]=>[7,4,5,6,3,2,1,8]=>[2,3,6,7,4,5,1,8]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[7,8,6,3,4,5,2,1]=>[7,4,5,6,3,1,2,8]=>[3,1,6,7,4,5,2,8]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[8,6,7,3,4,5,2,1]=>[7,4,5,6,2,3,1,8]=>[3,6,2,7,4,5,1,8]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[7,6,8,3,4,5,2,1]=>[7,4,5,6,2,1,3,8]=>[2,6,1,7,4,5,3,8]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[6,7,8,3,4,5,2,1]=>[7,4,5,6,1,2,3,8]=>[6,1,2,7,4,5,3,8]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[8,7,3,4,5,6,2,1]=>[7,3,4,5,6,2,1,8]=>[2,6,7,3,4,5,1,8]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[8,5,4,6,3,7,2,1]=>[7,5,3,2,4,6,1,8]=>[6,3,5,2,7,4,1,8]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[6,7,4,5,3,8,2,1]=>[7,5,3,4,1,2,6,8]=>[4,1,5,3,7,2,6,8]
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[7,4,5,6,3,8,2,1]=>[7,5,2,3,4,1,6,8]=>[4,5,2,3,7,1,6,8]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[6,5,4,7,3,8,2,1]=>[7,5,3,2,1,4,6,8]=>[2,3,5,1,7,4,6,8]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[7,5,1,2,3,4,6,8]=>[5,1,2,3,7,4,6,8]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[7,4,3,2,1,5,6,8]=>[2,3,4,7,1,5,6,8]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]]=>[4,5,3,6,7,8,2,1]=>[7,3,1,2,4,5,6,8]=>[3,1,7,2,4,5,6,8]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,2,3,1]=>[6,7,5,4,3,2,1,8]=>[2,3,4,5,7,6,1,8]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[8,5,6,7,4,2,3,1]=>[6,7,5,2,3,4,1,8]=>[4,5,2,3,7,6,1,8]
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,2,3,1]=>[6,7,5,2,3,1,4,8]=>[3,5,2,1,7,6,4,8]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[6,7,5,1,2,3,4,8]=>[5,1,2,3,7,6,4,8]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1,8]=>[3,5,2,7,4,6,1,8]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,2,3,1]=>[6,7,3,4,5,1,2,8]=>[5,1,7,3,4,6,2,8]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[8,6,5,4,7,2,3,1]=>[6,7,4,3,2,5,1,8]=>[5,3,4,7,2,6,1,8]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,2,3,1]=>[6,7,3,4,2,5,1,8]=>[5,4,7,3,2,6,1,8]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,2,3,1]=>[6,7,4,3,2,1,5,8]=>[2,3,4,7,1,6,5,8]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,2,3,1]=>[6,7,3,4,2,1,5,8]=>[2,4,7,3,1,6,5,8]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>[6,5,4,7,8,2,3,1]=>[6,7,3,2,1,4,5,8]=>[2,3,7,1,4,6,5,8]
[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,2,3,1]=>[6,7,1,2,3,4,5,8]=>[7,1,2,3,4,6,5,8]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,2,4,1]=>[6,5,7,4,3,2,1,8]=>[2,3,4,7,6,5,1,8]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,2,4,1]=>[6,5,7,3,4,2,1,8]=>[2,4,7,3,6,5,1,8]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,2,4,1]=>[6,5,7,3,4,1,2,8]=>[4,1,7,3,6,5,2,8]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,2,4,1]=>[6,5,7,2,3,4,1,8]=>[4,7,2,3,6,5,1,8]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,2,4,1]=>[6,5,7,2,3,1,4,8]=>[3,7,2,1,6,5,4,8]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[6,5,7,1,2,3,4,8]=>[7,1,2,3,6,5,4,8]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,2,3,4,1]=>[5,6,7,4,3,2,1,8]=>[2,3,4,7,5,6,1,8]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,2,3,4,1]=>[5,6,7,4,2,3,1,8]=>[3,4,2,7,5,6,1,8]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,2,3,4,1]=>[5,6,7,4,1,2,3,8]=>[4,1,2,7,5,6,3,8]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,2,3,4,1]=>[5,6,7,3,4,2,1,8]=>[2,4,7,3,5,6,1,8]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,2,3,4,1]=>[5,6,7,3,2,4,1,8]=>[4,3,7,2,5,6,1,8]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[5,6,7,2,3,4,1,8]=>[4,7,2,3,5,6,1,8]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,2,3,4,1]=>[5,6,7,3,1,2,4,8]=>[3,1,7,2,5,6,4,8]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,2,3,4,1]=>[5,6,7,2,1,3,4,8]=>[2,7,1,3,5,6,4,8]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[5,6,7,1,2,3,4,8]=>[7,1,2,3,5,6,4,8]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,2,5,1]=>[6,5,4,7,3,2,1,8]=>[2,3,7,5,6,4,1,8]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[8,6,7,4,3,2,5,1]=>[6,5,4,7,2,3,1,8]=>[3,7,2,5,6,4,1,8]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[8,7,6,4,2,3,5,1]=>[5,6,4,7,3,2,1,8]=>[2,3,7,6,5,4,1,8]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[8,6,7,4,2,3,5,1]=>[5,6,4,7,2,3,1,8]=>[3,7,2,6,5,4,1,8]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[6,7,8,4,2,3,5,1]=>[5,6,4,7,1,2,3,8]=>[7,1,2,6,5,4,3,8]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[8,6,7,3,2,4,5,1]=>[5,4,6,7,2,3,1,8]=>[3,7,2,5,4,6,1,8]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[6,7,8,3,2,4,5,1]=>[5,4,6,7,1,2,3,8]=>[7,1,2,5,4,6,3,8]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[8,7,6,2,3,4,5,1]=>[4,5,6,7,3,2,1,8]=>[2,3,7,4,5,6,1,8]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[7,8,6,2,3,4,5,1]=>[4,5,6,7,3,1,2,8]=>[3,1,7,4,5,6,2,8]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[8,6,7,2,3,4,5,1]=>[4,5,6,7,2,3,1,8]=>[3,7,2,4,5,6,1,8]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[7,6,8,2,3,4,5,1]=>[4,5,6,7,2,1,3,8]=>[2,7,1,4,5,6,3,8]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[6,7,8,2,3,4,5,1]=>[4,5,6,7,1,2,3,8]=>[7,1,2,4,5,6,3,8]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[8,7,5,4,3,2,6,1]=>[6,5,4,3,7,2,1,8]=>[2,7,4,5,6,3,1,8]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[7,8,5,4,3,2,6,1]=>[6,5,4,3,7,1,2,8]=>[7,1,4,5,6,3,2,8]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[7,8,5,3,4,2,6,1]=>[6,4,5,3,7,1,2,8]=>[7,1,5,6,4,3,2,8]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[8,7,5,3,2,4,6,1]=>[5,4,6,3,7,2,1,8]=>[2,7,6,5,4,3,1,8]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[8,7,4,3,2,5,6,1]=>[5,4,3,6,7,2,1,8]=>[2,7,4,5,3,6,1,8]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[8,6,3,4,5,2,7,1]=>[6,3,4,5,2,7,1,8]=>[7,5,6,3,4,2,1,8]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[8,4,5,3,6,2,7,1]=>[6,4,2,3,5,7,1,8]=>[7,4,2,6,3,5,1,8]
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]=>[8,4,3,5,6,2,7,1]=>[6,3,2,4,5,7,1,8]=>[7,3,6,2,4,5,1,8]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[8,6,4,5,2,3,7,1]=>[5,6,3,4,2,7,1,8]=>[7,4,6,3,5,2,1,8]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[8,6,4,2,3,5,7,1]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[8,5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1,8]=>[7,3,4,5,2,6,1,8]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[8,4,5,2,3,6,7,1]=>[4,5,2,3,6,7,1,8]=>[7,5,2,4,3,6,1,8]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[6,7,5,4,3,2,8,1]=>[6,5,4,3,1,2,7,8]=>[3,1,4,5,6,2,7,8]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[7,6,4,5,3,2,8,1]=>[6,5,3,4,2,1,7,8]=>[2,4,5,3,6,1,7,8]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>[7,4,5,6,3,2,8,1]=>[6,5,2,3,4,1,7,8]=>[4,5,2,3,6,1,7,8]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[6,5,1,2,3,4,7,8]=>[5,1,2,3,6,4,7,8]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[6,5,7,3,4,2,8,1]=>[6,4,5,2,1,3,7,8]=>[2,5,1,6,4,3,7,8]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[7,5,4,3,6,2,8,1]=>[6,4,3,2,5,1,7,8]=>[5,3,4,6,2,1,7,8]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[6,4,3,2,1,5,7,8]=>[2,3,4,6,1,5,7,8]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[5,6,4,3,7,2,8,1]=>[6,4,3,1,2,5,7,8]=>[3,1,4,6,2,5,7,8]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[6,4,2,1,3,5,7,8]=>[2,4,1,6,3,5,7,8]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[6,5,3,4,7,2,8,1]=>[6,3,4,2,1,5,7,8]=>[2,4,6,3,1,5,7,8]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>[6,7,5,4,2,3,8,1]=>[5,6,4,3,1,2,7,8]=>[3,1,4,6,5,2,7,8]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,2,3,8,1]=>[5,6,4,2,1,3,7,8]=>[2,4,1,6,5,3,7,8]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,2,3,8,1]=>[5,6,3,4,1,2,7,8]=>[4,1,6,3,5,2,7,8]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[7,5,4,6,2,3,8,1]=>[5,6,3,2,4,1,7,8]=>[4,3,6,2,5,1,7,8]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,2,3,8,1]=>[5,6,2,3,4,1,7,8]=>[4,6,2,3,5,1,7,8]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,2,3,8,1]=>[5,6,3,2,1,4,7,8]=>[2,3,6,1,5,4,7,8]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[6,7,5,3,2,4,8,1]=>[5,4,6,3,1,2,7,8]=>[3,1,6,5,4,2,7,8]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[6,5,7,3,2,4,8,1]=>[5,4,6,2,1,3,7,8]=>[2,6,1,5,4,3,7,8]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[7,6,5,2,3,4,8,1]=>[4,5,6,3,2,1,7,8]=>[2,3,6,4,5,1,7,8]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[7,6,4,3,2,5,8,1]=>[5,4,3,6,2,1,7,8]=>[2,6,4,5,3,1,7,8]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[6,7,4,3,2,5,8,1]=>[5,4,3,6,1,2,7,8]=>[6,1,4,5,3,2,7,8]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[7,6,2,3,4,5,8,1]=>[3,4,5,6,2,1,7,8]=>[2,6,3,4,5,1,7,8]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[7,5,4,3,2,6,8,1]=>[5,4,3,2,6,1,7,8]=>[6,3,4,5,2,1,7,8]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[7,5,4,2,3,6,8,1]=>[4,5,3,2,6,1,7,8]=>[6,3,5,4,2,1,7,8]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[5,4,2,1,3,6,7,8]=>[2,4,1,5,3,6,7,8]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[5,6,3,4,2,7,8,1]=>[5,3,4,1,2,6,7,8]=>[4,1,5,3,2,6,7,8]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>[6,3,4,5,2,7,8,1]=>[5,2,3,4,1,6,7,8]=>[4,5,2,3,1,6,7,8]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[5,3,2,1,4,6,7,8]=>[2,3,5,1,4,6,7,8]
[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[6,5,4,2,3,7,8,1]=>[4,5,3,2,1,6,7,8]=>[2,3,5,4,1,6,7,8]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>[6,4,5,2,3,7,8,1]=>[4,5,2,3,1,6,7,8]=>[3,5,2,4,1,6,7,8]
[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[4,5,6,2,3,7,8,1]=>[4,5,1,2,3,6,7,8]=>[5,1,2,4,3,6,7,8]
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>[6,5,3,2,4,7,8,1]=>[4,3,5,2,1,6,7,8]=>[2,5,4,3,1,6,7,8]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[6,5,2,3,4,7,8,1]=>[3,4,5,2,1,6,7,8]=>[2,5,3,4,1,6,7,8]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[6,4,2,3,5,7,8,1]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>[4,5,3,2,6,7,8,1]=>[4,3,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[5,3,4,2,6,7,8,1]=>[4,2,3,1,5,6,7,8]=>[3,4,2,1,5,6,7,8]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[4,2,1,3,5,6,7,8]=>[2,4,1,3,5,6,7,8]
[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[3,4,5,2,6,7,8,1]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[5,4,2,3,6,7,8,1]=>[3,4,2,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]
[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[4,5,2,3,6,7,8,1]=>[3,4,1,2,5,6,7,8]=>[4,1,3,2,5,6,7,8]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[5,3,2,4,6,7,8,1]=>[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]
[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[5,2,3,4,6,7,8,1]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]
[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]
[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[4,2,3,5,6,7,8,1]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]
[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]
[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[8,6,5,4,3,2,1,7]=>[2,3,4,5,6,8,1,7]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,3,1,2]=>[8,6,5,3,4,2,1,7]=>[2,4,5,3,6,8,1,7]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[8,6,5,7,4,3,1,2]=>[8,6,5,3,2,4,1,7]=>[4,3,5,2,6,8,1,7]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[8,5,6,7,4,3,1,2]=>[8,6,5,2,3,4,1,7]=>[4,5,2,3,6,8,1,7]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,3,1,2]=>[8,6,5,3,2,1,4,7]=>[2,3,5,1,6,8,4,7]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[6,5,7,8,4,3,1,2]=>[8,6,5,2,1,3,4,7]=>[2,5,1,3,6,8,4,7]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[8,6,5,1,2,3,4,7]=>[5,1,2,3,6,8,4,7]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[8,6,4,5,3,1,2,7]=>[3,1,5,6,4,8,2,7]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,3,1,2]=>[8,6,3,4,5,1,2,7]=>[5,1,6,3,4,8,2,7]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,3,1,2]=>[8,6,4,2,3,5,1,7]=>[5,4,2,6,3,8,1,7]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>[8,5,4,6,7,3,1,2]=>[8,6,3,2,4,5,1,7]=>[5,3,6,2,4,8,1,7]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,3,1,2]=>[8,6,4,3,2,1,5,7]=>[2,3,4,6,1,8,5,7]
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,3,1,2]=>[8,6,4,2,3,1,5,7]=>[3,4,2,6,1,8,5,7]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,3,1,2]=>[8,6,4,2,1,3,5,7]=>[2,4,1,6,3,8,5,7]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,3,1,2]=>[8,6,3,4,2,1,5,7]=>[2,4,6,3,1,8,5,7]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,3,1,2]=>[8,6,3,4,1,2,5,7]=>[4,1,6,3,2,8,5,7]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>[7,5,4,6,8,3,1,2]=>[8,6,3,2,4,1,5,7]=>[4,3,6,2,1,8,5,7]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,4,1,2]=>[8,5,6,4,3,2,1,7]=>[2,3,4,6,8,5,1,7]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,3,4,1,2]=>[8,5,6,4,2,3,1,7]=>[3,4,2,6,8,5,1,7]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,4,1,2]=>[8,5,6,4,2,1,3,7]=>[2,4,1,6,8,5,3,7]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,4,1,2]=>[8,5,6,4,1,2,3,7]=>[4,1,2,6,8,5,3,7]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,4,1,2]=>[8,5,6,3,4,2,1,7]=>[2,4,6,3,8,5,1,7]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[8,5,6,3,4,1,2,7]=>[4,1,6,3,8,5,2,7]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,4,1,2]=>[8,5,6,2,3,4,1,7]=>[4,6,2,3,8,5,1,7]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,4,1,2]=>[8,5,6,3,2,1,4,7]=>[2,3,6,1,8,5,4,7]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,4,1,2]=>[8,5,6,3,1,2,4,7]=>[3,1,6,2,8,5,4,7]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,4,1,2]=>[8,5,6,2,3,1,4,7]=>[3,6,2,1,8,5,4,7]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[8,5,6,2,1,3,4,7]=>[2,6,1,3,8,5,4,7]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[8,5,6,1,2,3,4,7]=>[6,1,2,3,8,5,4,7]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[8,7,6,3,4,5,1,2]=>[8,4,5,6,3,2,1,7]=>[2,3,6,8,4,5,1,7]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[8,7,5,3,4,6,1,2]=>[8,4,5,3,6,2,1,7]=>[2,6,5,8,4,3,1,7]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[7,8,5,3,4,6,1,2]=>[8,4,5,3,6,1,2,7]=>[6,1,5,8,4,3,2,7]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[8,4,3,5,6,1,2,7]=>[6,1,4,8,3,5,2,7]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[8,7,3,4,5,6,1,2]=>[8,3,4,5,6,2,1,7]=>[2,6,8,3,4,5,1,7]
[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>[8,3,4,5,6,1,2,7]=>[6,1,8,3,4,5,2,7]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,3,8,1,2]=>[8,5,4,2,1,3,6,7]=>[2,4,1,5,8,3,6,7]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,3,8,1,2]=>[8,5,3,4,1,2,6,7]=>[4,1,5,3,8,2,6,7]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,3,8,1,2]=>[8,5,2,3,4,1,6,7]=>[4,5,2,3,8,1,6,7]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,3,8,1,2]=>[8,5,3,2,1,4,6,7]=>[2,3,5,1,8,4,6,7]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,3,8,1,2]=>[8,5,3,1,2,4,6,7]=>[3,1,5,2,8,4,6,7]
[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[4,5,6,7,3,8,1,2]=>[8,5,1,2,3,4,6,7]=>[5,1,2,3,8,4,6,7]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[7,5,6,3,4,8,1,2]=>[8,4,5,2,3,1,6,7]=>[3,5,2,8,4,1,6,7]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[7,6,3,4,5,8,1,2]=>[8,3,4,5,2,1,6,7]=>[2,5,8,3,4,1,6,7]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>[7,4,5,3,6,8,1,2]=>[8,4,2,3,5,1,6,7]=>[5,4,2,8,3,1,6,7]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[6,5,4,3,7,8,1,2]=>[8,4,3,2,1,5,6,7]=>[2,3,4,8,1,5,6,7]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[5,4,6,3,7,8,1,2]=>[8,4,2,1,3,5,6,7]=>[2,4,1,8,3,5,6,7]
[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[5,6,3,4,7,8,1,2]=>[8,3,4,1,2,5,6,7]=>[4,1,8,3,2,5,6,7]
[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[6,3,4,5,7,8,1,2]=>[8,2,3,4,1,5,6,7]=>[4,8,2,3,1,5,6,7]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[8,3,2,1,4,5,6,7]=>[2,3,8,1,4,5,6,7]
[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[4,5,3,6,7,8,1,2]=>[8,3,1,2,4,5,6,7]=>[3,1,8,2,4,5,6,7]
[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[5,3,4,6,7,8,1,2]=>[8,2,3,1,4,5,6,7]=>[3,8,2,1,4,5,6,7]
[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[6,8,5,4,3,2,1,7]=>[2,3,4,5,8,6,1,7]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,2,1,3]=>[6,8,5,3,4,2,1,7]=>[2,4,5,3,8,6,1,7]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,2,1,3]=>[6,8,5,3,4,1,2,7]=>[4,1,5,3,8,6,2,7]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,2,1,3]=>[6,8,5,2,3,4,1,7]=>[4,5,2,3,8,6,1,7]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,2,1,3]=>[6,8,5,2,3,1,4,7]=>[3,5,2,1,8,6,4,7]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[6,8,5,1,2,3,4,7]=>[5,1,2,3,8,6,4,7]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,2,1,3]=>[6,8,4,5,2,3,1,7]=>[3,5,2,8,4,6,1,7]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[6,7,8,4,5,2,1,3]=>[6,8,4,5,1,2,3,7]=>[5,1,2,8,4,6,3,7]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[7,8,5,4,6,2,1,3]=>[6,8,4,3,5,1,2,7]=>[5,1,4,8,3,6,2,7]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,2,1,3]=>[6,8,3,4,2,5,1,7]=>[5,4,8,3,2,6,1,7]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[8,5,4,6,7,2,1,3]=>[6,8,3,2,4,5,1,7]=>[5,3,8,2,4,6,1,7]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,2,1,3]=>[6,8,4,3,2,1,5,7]=>[2,3,4,8,1,6,5,7]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,2,1,3]=>[6,8,4,2,3,1,5,7]=>[3,4,2,8,1,6,5,7]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,2,1,3]=>[6,8,3,4,1,2,5,7]=>[4,1,8,3,2,6,5,7]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,2,1,3]=>[6,8,3,2,4,1,5,7]=>[4,3,8,2,1,6,5,7]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,2,1,3]=>[6,8,2,1,3,4,5,7]=>[2,8,1,3,4,6,5,7]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,1,2,3]=>[7,8,5,4,3,2,1,6]=>[2,3,4,5,8,1,7,6]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[7,8,6,5,4,1,2,3]=>[7,8,5,4,3,1,2,6]=>[3,1,4,5,8,2,7,6]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,1,2,3]=>[7,8,5,4,2,1,3,6]=>[2,4,1,5,8,3,7,6]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[7,8,5,4,1,2,3,6]=>[4,1,2,5,8,3,7,6]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,1,2,3]=>[7,8,5,3,4,1,2,6]=>[4,1,5,3,8,2,7,6]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,1,2,3]=>[7,8,5,3,2,1,4,6]=>[2,3,5,1,8,4,7,6]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,1,2,3]=>[7,8,5,3,1,2,4,6]=>[3,1,5,2,8,4,7,6]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,1,2,3]=>[7,8,5,2,1,3,4,6]=>[2,5,1,3,8,4,7,6]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[7,8,5,1,2,3,4,6]=>[5,1,2,3,8,4,7,6]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,1,2,3]=>[7,8,4,5,2,3,1,6]=>[3,5,2,8,4,1,7,6]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,1,2,3]=>[7,8,3,4,5,2,1,6]=>[2,5,8,3,4,1,7,6]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,1,2,3]=>[7,8,4,3,2,5,1,6]=>[5,3,4,8,2,1,7,6]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,1,2,3]=>[7,8,3,4,2,5,1,6]=>[5,4,8,3,2,1,7,6]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,1,2,3]=>[7,8,4,3,2,1,5,6]=>[2,3,4,8,1,5,7,6]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,1,2,3]=>[7,8,4,3,1,2,5,6]=>[3,1,4,8,2,5,7,6]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,1,2,3]=>[7,8,4,2,3,1,5,6]=>[3,4,2,8,1,5,7,6]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,1,2,3]=>[7,8,4,2,1,3,5,6]=>[2,4,1,8,3,5,7,6]
[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,1,2,3]=>[7,8,4,1,2,3,5,6]=>[4,1,2,8,3,5,7,6]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,1,2,3]=>[7,8,3,4,2,1,5,6]=>[2,4,8,3,1,5,7,6]
[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,1,2,3]=>[7,8,3,4,1,2,5,6]=>[4,1,8,3,2,5,7,6]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,1,2,3]=>[7,8,3,2,4,1,5,6]=>[4,3,8,2,1,5,7,6]
[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,1,2,3]=>[7,8,2,3,4,1,5,6]=>[4,8,2,3,1,5,7,6]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[7,8,3,2,1,4,5,6]=>[2,3,8,1,4,5,7,6]
[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,1,2,3]=>[7,8,3,1,2,4,5,6]=>[3,1,8,2,4,5,7,6]
[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[6,4,5,7,8,1,2,3]=>[7,8,2,3,1,4,5,6]=>[3,8,2,1,4,5,7,6]
[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,1,2,3]=>[7,8,2,1,3,4,5,6]=>[2,8,1,3,4,5,7,6]
[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,7,6]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,2,1,4]=>[6,5,8,4,3,2,1,7]=>[2,3,4,8,6,5,1,7]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,2,1,4]=>[6,5,8,4,3,1,2,7]=>[3,1,4,8,6,5,2,7]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,2,1,4]=>[6,5,8,4,2,3,1,7]=>[3,4,2,8,6,5,1,7]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,2,1,4]=>[6,5,8,4,1,2,3,7]=>[4,1,2,8,6,5,3,7]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,2,1,4]=>[6,5,8,3,4,2,1,7]=>[2,4,8,3,6,5,1,7]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,2,1,4]=>[6,5,8,3,4,1,2,7]=>[4,1,8,3,6,5,2,7]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,2,1,4]=>[6,5,8,2,3,4,1,7]=>[4,8,2,3,6,5,1,7]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,2,1,4]=>[6,5,8,2,3,1,4,7]=>[3,8,2,1,6,5,4,7]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[6,5,8,1,2,3,4,7]=>[8,1,2,3,6,5,4,7]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,3,1,4]=>[5,6,8,4,3,2,1,7]=>[2,3,4,8,5,6,1,7]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,3,1,4]=>[5,6,8,4,3,1,2,7]=>[3,1,4,8,5,6,2,7]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,3,1,4]=>[5,6,8,4,2,1,3,7]=>[2,4,1,8,5,6,3,7]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,3,1,4]=>[5,6,8,3,4,2,1,7]=>[2,4,8,3,5,6,1,7]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,3,1,4]=>[5,6,8,3,4,1,2,7]=>[4,1,8,3,5,6,2,7]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,3,1,4]=>[5,6,8,2,3,4,1,7]=>[4,8,2,3,5,6,1,7]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,3,1,4]=>[5,6,8,3,2,1,4,7]=>[2,3,8,1,5,6,4,7]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[5,6,8,2,3,1,4,7]=>[3,8,2,1,5,6,4,7]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[5,6,8,1,2,3,4,7]=>[8,1,2,3,5,6,4,7]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,1,2,4]=>[7,5,8,4,3,2,1,6]=>[2,3,4,8,7,1,5,6]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,1,2,4]=>[7,5,8,3,4,2,1,6]=>[2,4,8,3,7,1,5,6]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,1,2,4]=>[7,5,8,3,4,1,2,6]=>[4,1,8,3,7,2,5,6]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,1,2,4]=>[7,5,8,3,2,4,1,6]=>[4,3,8,2,7,1,5,6]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[7,5,8,3,1,2,4,6]=>[3,1,8,2,7,4,5,6]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,1,2,4]=>[7,5,8,2,1,3,4,6]=>[2,8,1,3,7,4,5,6]
[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[7,5,8,1,2,3,4,6]=>[8,1,2,3,7,4,5,6]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,1,3,4]=>[5,7,8,4,3,2,1,6]=>[2,3,4,8,5,1,7,6]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,1,3,4]=>[5,7,8,4,1,2,3,6]=>[4,1,2,8,5,3,7,6]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[5,7,8,3,4,1,2,6]=>[4,1,8,3,5,2,7,6]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,1,3,4]=>[5,7,8,3,2,4,1,6]=>[4,3,8,2,5,1,7,6]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,1,3,4]=>[5,7,8,3,2,1,4,6]=>[2,3,8,1,5,4,7,6]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,1,3,4]=>[5,7,8,3,1,2,4,6]=>[3,1,8,2,5,4,7,6]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[5,7,8,2,1,3,4,6]=>[2,8,1,3,5,4,7,6]
[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[5,7,8,1,2,3,4,6]=>[8,1,2,3,5,4,7,6]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[6,7,8,4,3,2,1,5]=>[2,3,4,8,1,6,7,5]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[6,7,8,4,3,1,2,5]=>[3,1,4,8,2,6,7,5]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[6,7,8,4,2,3,1,5]=>[3,4,2,8,1,6,7,5]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[6,7,8,4,2,1,3,5]=>[2,4,1,8,3,6,7,5]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[6,7,8,4,1,2,3,5]=>[4,1,2,8,3,6,7,5]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[6,7,8,3,4,2,1,5]=>[2,4,8,3,1,6,7,5]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[6,7,8,3,4,1,2,5]=>[4,1,8,3,2,6,7,5]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[6,7,8,3,2,4,1,5]=>[4,3,8,2,1,6,7,5]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[6,7,8,2,3,4,1,5]=>[4,8,2,3,1,6,7,5]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[6,7,8,3,2,1,4,5]=>[2,3,8,1,4,6,7,5]
[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[6,7,8,3,1,2,4,5]=>[3,1,8,2,4,6,7,5]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[6,7,8,2,3,1,4,5]=>[3,8,2,1,4,6,7,5]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[6,7,8,2,1,3,4,5]=>[2,8,1,3,4,6,7,5]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[6,7,8,1,2,3,4,5]=>[8,1,2,3,4,6,7,5]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[6,7,8,4,3,2,1,5]=>[6,5,4,8,1,2,3,7]=>[8,1,2,5,6,4,3,7]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[8,6,7,3,4,2,1,5]=>[6,4,5,8,2,3,1,7]=>[3,8,2,6,4,5,1,7]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,2,3,1,5]=>[5,6,4,8,3,2,1,7]=>[2,3,8,6,5,4,1,7]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[8,6,7,4,2,3,1,5]=>[5,6,4,8,2,3,1,7]=>[3,8,2,6,5,4,1,7]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[8,7,6,2,3,4,1,5]=>[4,5,6,8,3,2,1,7]=>[2,3,8,4,5,6,1,7]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[4,5,6,8,1,2,3,7]=>[8,1,2,4,5,6,3,7]
[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[6,7,8,3,4,1,2,5]=>[7,4,5,8,1,2,3,6]=>[8,1,2,7,4,3,5,6]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,2,1,3,5]=>[5,7,4,8,2,3,1,6]=>[3,8,2,7,5,1,4,6]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,2,1,3,5]=>[5,7,4,8,2,1,3,6]=>[2,8,1,7,5,3,4,6]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,2,1,3,5]=>[5,7,4,8,1,2,3,6]=>[8,1,2,7,5,3,4,6]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,1,2,3,5]=>[6,7,4,8,3,2,1,5]=>[2,3,8,7,1,6,4,5]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,1,2,3,5]=>[6,7,4,8,3,1,2,5]=>[3,1,8,7,2,6,4,5]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,1,2,3,5]=>[6,7,4,8,2,3,1,5]=>[3,8,2,7,1,6,4,5]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,1,2,3,5]=>[6,7,4,8,2,1,3,5]=>[2,8,1,7,3,6,4,5]
[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[6,7,4,8,1,2,3,5]=>[8,1,2,7,3,6,4,5]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[8,7,6,3,2,1,4,5]=>[5,4,7,8,3,2,1,6]=>[2,3,8,5,4,1,7,6]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[7,8,6,3,2,1,4,5]=>[5,4,7,8,3,1,2,6]=>[3,1,8,5,4,2,7,6]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[7,6,8,3,2,1,4,5]=>[5,4,7,8,2,1,3,6]=>[2,8,1,5,4,3,7,6]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[6,7,8,3,2,1,4,5]=>[5,4,7,8,1,2,3,6]=>[8,1,2,5,4,3,7,6]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[8,7,6,2,3,1,4,5]=>[4,5,7,8,3,2,1,6]=>[2,3,8,4,5,1,7,6]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[7,8,6,2,3,1,4,5]=>[4,5,7,8,3,1,2,6]=>[3,1,8,4,5,2,7,6]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[7,6,8,2,3,1,4,5]=>[4,5,7,8,2,1,3,6]=>[2,8,1,4,5,3,7,6]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[8,6,7,3,1,2,4,5]=>[6,4,7,8,2,3,1,5]=>[3,8,2,6,1,4,7,5]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[6,7,8,3,1,2,4,5]=>[6,4,7,8,1,2,3,5]=>[8,1,2,6,3,4,7,5]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[8,7,6,2,1,3,4,5]=>[4,6,7,8,3,2,1,5]=>[2,3,8,4,1,6,7,5]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[8,6,7,2,1,3,4,5]=>[4,6,7,8,2,3,1,5]=>[3,8,2,4,1,6,7,5]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[7,6,8,2,1,3,4,5]=>[4,6,7,8,2,1,3,5]=>[2,8,1,4,3,6,7,5]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[4,6,7,8,1,2,3,5]=>[8,1,2,4,3,6,7,5]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[5,6,7,8,3,2,1,4]=>[2,3,8,1,5,6,7,4]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[5,6,7,8,3,1,2,4]=>[3,1,8,2,5,6,7,4]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[5,6,7,8,2,3,1,4]=>[3,8,2,1,5,6,7,4]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[5,6,7,8,2,1,3,4]=>[2,8,1,3,5,6,7,4]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[5,6,7,8,1,2,3,4]=>[8,1,2,3,5,6,7,4]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[8,7,5,4,3,2,1,6]=>[6,5,4,3,8,2,1,7]=>[2,8,4,5,6,3,1,7]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[7,8,5,4,3,2,1,6]=>[6,5,4,3,8,1,2,7]=>[8,1,4,5,6,3,2,7]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[8,7,4,5,3,2,1,6]=>[6,5,3,4,8,2,1,7]=>[2,8,5,3,6,4,1,7]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[8,7,5,3,4,2,1,6]=>[6,4,5,3,8,2,1,7]=>[2,8,5,6,4,3,1,7]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[8,7,4,3,5,2,1,6]=>[6,4,3,5,8,2,1,7]=>[2,8,4,6,3,5,1,7]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[8,7,3,4,5,2,1,6]=>[6,3,4,5,8,2,1,7]=>[2,8,6,3,4,5,1,7]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[7,8,3,4,5,2,1,6]=>[6,3,4,5,8,1,2,7]=>[8,1,6,3,4,5,2,7]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[8,7,4,5,2,3,1,6]=>[5,6,3,4,8,2,1,7]=>[2,8,6,3,5,4,1,7]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[8,7,5,3,2,4,1,6]=>[5,4,6,3,8,2,1,7]=>[2,8,6,5,4,3,1,7]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[8,7,5,2,3,4,1,6]=>[4,5,6,3,8,2,1,7]=>[2,8,6,4,5,3,1,7]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[7,8,4,3,2,5,1,6]=>[5,4,3,6,8,1,2,7]=>[8,1,4,5,3,6,2,7]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[8,7,3,4,2,5,1,6]=>[5,3,4,6,8,2,1,7]=>[2,8,5,3,4,6,1,7]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[8,7,4,2,3,5,1,6]=>[4,5,3,6,8,2,1,7]=>[2,8,5,4,3,6,1,7]
[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[7,8,2,3,4,5,1,6]=>[3,4,5,6,8,1,2,7]=>[8,1,3,4,5,6,2,7]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,3,1,2,6]=>[7,5,4,3,8,2,1,6]=>[2,8,4,5,7,1,3,6]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[8,7,5,3,4,1,2,6]=>[7,4,5,3,8,2,1,6]=>[2,8,5,7,4,1,3,6]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[8,7,5,4,2,1,3,6]=>[5,7,4,3,8,2,1,6]=>[2,8,4,7,5,1,3,6]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>[5,7,4,3,8,1,2,6]=>[8,1,4,7,5,2,3,6]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[7,8,4,5,2,1,3,6]=>[5,7,3,4,8,1,2,6]=>[8,1,7,3,5,2,4,6]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,1,2,3,6]=>[6,7,4,3,8,1,2,5]=>[8,1,4,7,2,6,3,5]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[8,7,5,3,2,1,4,6]=>[5,4,7,3,8,2,1,6]=>[2,8,7,5,4,1,3,6]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[7,8,5,3,2,1,4,6]=>[5,4,7,3,8,1,2,6]=>[8,1,7,5,4,2,3,6]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[7,8,5,3,1,2,4,6]=>[6,4,7,3,8,1,2,5]=>[8,1,7,6,2,4,3,5]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[4,6,7,3,8,2,1,5]=>[2,8,7,4,1,6,3,5]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[4,6,7,3,8,1,2,5]=>[8,1,7,4,2,6,3,5]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[5,6,7,3,8,2,1,4]=>[2,8,7,1,5,6,3,4]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[5,6,7,3,8,1,2,4]=>[8,1,7,2,5,6,3,4]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[8,7,4,3,2,1,5,6]=>[5,4,3,7,8,2,1,6]=>[2,8,4,5,3,1,7,6]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[7,8,4,3,2,1,5,6]=>[5,4,3,7,8,1,2,6]=>[8,1,4,5,3,2,7,6]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[8,7,3,4,2,1,5,6]=>[5,3,4,7,8,2,1,6]=>[2,8,5,3,4,1,7,6]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[7,8,4,2,3,1,5,6]=>[4,5,3,7,8,1,2,6]=>[8,1,5,4,3,2,7,6]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[7,8,4,3,1,2,5,6]=>[6,4,3,7,8,1,2,5]=>[8,1,4,6,2,3,7,5]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[7,8,4,1,2,3,5,6]=>[5,6,3,7,8,1,2,4]=>[8,1,6,2,5,3,7,4]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[8,7,3,2,1,4,5,6]=>[4,3,6,7,8,2,1,5]=>[2,8,4,3,1,6,7,5]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[4,3,6,7,8,1,2,5]=>[8,1,4,3,2,6,7,5]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[7,8,2,3,1,4,5,6]=>[3,4,6,7,8,1,2,5]=>[8,1,3,4,2,6,7,5]
[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[7,8,2,1,3,4,5,6]=>[3,5,6,7,8,1,2,4]=>[8,1,3,2,5,6,7,4]
[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[8,7,1,2,3,4,5,6]=>[4,5,6,7,8,2,1,3]=>[2,8,1,4,5,6,7,3]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[4,5,6,7,8,1,2,3]=>[8,1,2,4,5,6,7,3]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[8,6,5,4,3,2,1,7]=>[6,5,4,3,2,8,1,7]=>[8,3,4,5,6,2,1,7]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[6,5,2,3,4,8,1,7]=>[8,5,2,3,6,4,1,7]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[8,6,5,3,4,2,1,7]=>[6,4,5,3,2,8,1,7]=>[8,3,5,6,4,2,1,7]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[8,5,6,3,4,2,1,7]=>[6,4,5,2,3,8,1,7]=>[8,5,2,6,4,3,1,7]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[8,3,4,5,6,2,1,7]=>[6,2,3,4,5,8,1,7]=>[8,6,2,3,4,5,1,7]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,2,3,1,7]=>[5,6,4,3,2,8,1,7]=>[8,3,4,6,5,2,1,7]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[8,5,6,4,2,3,1,7]=>[5,6,4,2,3,8,1,7]=>[8,4,2,6,5,3,1,7]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,2,3,1,7]=>[5,6,3,4,2,8,1,7]=>[8,4,6,3,5,2,1,7]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[8,6,5,2,3,4,1,7]=>[4,5,6,3,2,8,1,7]=>[8,3,6,4,5,2,1,7]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[8,5,6,2,3,4,1,7]=>[4,5,6,2,3,8,1,7]=>[8,6,2,4,5,3,1,7]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[8,6,4,2,3,5,1,7]=>[4,5,3,6,2,8,1,7]=>[8,6,5,4,3,2,1,7]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[8,5,4,3,2,6,1,7]=>[5,4,3,2,6,8,1,7]=>[8,3,4,5,2,6,1,7]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[8,4,5,3,2,6,1,7]=>[5,4,2,3,6,8,1,7]=>[8,4,2,5,3,6,1,7]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[8,4,3,5,2,6,1,7]=>[5,3,2,4,6,8,1,7]=>[8,3,5,2,4,6,1,7]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[8,3,4,5,2,6,1,7]=>[5,2,3,4,6,8,1,7]=>[8,5,2,3,4,6,1,7]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,3,1,2,7]=>[7,5,4,3,2,8,1,6]=>[8,3,4,5,7,1,2,6]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,3,1,2,7]=>[7,5,3,4,2,8,1,6]=>[8,4,5,3,7,1,2,6]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[7,4,5,2,3,8,1,6]=>[8,5,2,7,4,1,3,6]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,2,1,3,7]=>[5,7,4,2,3,8,1,6]=>[8,4,2,7,5,1,3,6]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[8,6,4,5,2,1,3,7]=>[5,7,3,4,2,8,1,6]=>[8,4,7,3,5,1,2,6]
[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[8,4,5,6,1,2,3,7]=>[6,7,2,3,4,8,1,5]=>[8,7,2,3,1,6,4,5]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[4,5,7,2,3,8,1,6]=>[8,7,2,4,5,1,3,6]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[8,6,5,2,1,3,4,7]=>[4,6,7,3,2,8,1,5]=>[8,3,7,4,1,6,2,5]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[8,6,5,1,2,3,4,7]=>[5,6,7,3,2,8,1,4]=>[8,3,7,1,5,6,2,4]
[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[8,5,6,1,2,3,4,7]=>[5,6,7,2,3,8,1,4]=>[8,7,2,1,5,6,3,4]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[5,3,4,7,2,8,1,6]=>[8,7,5,3,4,1,2,6]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[8,6,4,2,3,1,5,7]=>[4,5,3,7,2,8,1,6]=>[8,7,5,4,3,1,2,6]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[8,6,4,3,1,2,5,7]=>[6,4,3,7,2,8,1,5]=>[8,7,4,6,1,3,2,5]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[4,6,3,7,2,8,1,5]=>[8,7,6,4,1,3,2,5]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[8,6,4,1,2,3,5,7]=>[5,6,3,7,2,8,1,4]=>[8,7,6,1,5,3,2,4]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[8,6,3,2,1,4,5,7]=>[4,3,6,7,2,8,1,5]=>[8,7,4,3,1,6,2,5]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[8,6,2,3,1,4,5,7]=>[3,4,6,7,2,8,1,5]=>[8,7,3,4,1,6,2,5]
[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[8,6,1,2,3,4,5,7]=>[4,5,6,7,2,8,1,3]=>[8,7,1,4,5,6,2,3]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[8,5,4,3,2,1,6,7]=>[5,4,3,2,7,8,1,6]=>[8,3,4,5,2,1,7,6]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[8,3,4,5,2,1,6,7]=>[5,2,3,4,7,8,1,6]=>[8,5,2,3,4,1,7,6]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[8,4,5,2,1,3,6,7]=>[4,6,2,3,7,8,1,5]=>[8,6,2,4,1,3,7,5]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[8,5,3,2,1,4,6,7]=>[4,3,6,2,7,8,1,5]=>[8,6,4,3,1,2,7,5]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[8,5,3,1,2,4,6,7]=>[5,3,6,2,7,8,1,4]=>[8,6,5,1,3,2,7,4]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[8,4,3,2,1,5,6,7]=>[4,3,2,6,7,8,1,5]=>[8,3,4,2,1,6,7,5]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[8,4,2,3,1,5,6,7]=>[3,4,2,6,7,8,1,5]=>[8,4,3,2,1,6,7,5]
[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>[2,3,4,6,7,8,1,5]=>[8,2,3,4,1,6,7,5]
[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[8,3,4,1,2,5,6,7]=>[5,2,3,6,7,8,1,4]=>[8,5,2,1,3,6,7,4]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>[3,2,5,6,7,8,1,4]=>[8,3,2,1,5,6,7,4]
[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[8,2,3,1,4,5,6,7]=>[2,3,5,6,7,8,1,4]=>[8,2,3,1,5,6,7,4]
[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>[4,2,5,6,7,8,1,3]=>[8,4,1,2,5,6,7,3]
[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>[3,4,5,6,7,8,1,2]=>[8,1,3,4,5,6,7,2]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[6,5,4,3,2,1,8,7]=>[2,3,4,5,6,1,8,7]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[6,5,4,3,1,2,8,7]=>[3,1,4,5,6,2,8,7]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[7,5,6,4,3,2,1,8]=>[6,5,4,2,3,1,8,7]=>[3,4,2,5,6,1,8,7]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[6,5,4,2,1,3,8,7]=>[2,4,1,5,6,3,8,7]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[6,5,4,1,2,3,8,7]=>[4,1,2,5,6,3,8,7]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>[6,5,3,4,2,1,8,7]=>[2,4,5,3,6,1,8,7]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[6,5,3,2,1,4,8,7]=>[2,3,5,1,6,4,8,7]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[6,5,3,1,2,4,8,7]=>[3,1,5,2,6,4,8,7]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[6,5,1,2,3,4,8,7]=>[5,1,2,3,6,4,8,7]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[7,6,5,3,4,2,1,8]=>[6,4,5,3,2,1,8,7]=>[2,3,5,6,4,1,8,7]
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>[6,7,5,3,4,2,1,8]=>[6,4,5,3,1,2,8,7]=>[3,1,5,6,4,2,8,7]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[7,5,6,3,4,2,1,8]=>[6,4,5,2,3,1,8,7]=>[3,5,2,6,4,1,8,7]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[5,6,7,3,4,2,1,8]=>[6,4,5,1,2,3,8,7]=>[5,1,2,6,4,3,8,7]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[7,6,4,3,5,2,1,8]=>[6,4,3,5,2,1,8,7]=>[2,5,4,6,3,1,8,7]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[6,4,3,2,1,5,8,7]=>[2,3,4,6,1,5,8,7]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[6,4,2,1,3,5,8,7]=>[2,4,1,6,3,5,8,7]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.]=>[5,6,3,4,7,2,1,8]=>[6,3,4,1,2,5,8,7]=>[4,1,6,3,2,5,8,7]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[6,3,2,1,4,5,8,7]=>[2,3,6,1,4,5,8,7]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[7,6,5,4,2,3,1,8]=>[5,6,4,3,2,1,8,7]=>[2,3,4,6,5,1,8,7]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>[6,7,5,4,2,3,1,8]=>[5,6,4,3,1,2,8,7]=>[3,1,4,6,5,2,8,7]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,2,3,1,8]=>[5,6,4,2,3,1,8,7]=>[3,4,2,6,5,1,8,7]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,2,3,1,8]=>[5,6,4,1,2,3,8,7]=>[4,1,2,6,5,3,8,7]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,2,3,1,8]=>[5,6,3,4,2,1,8,7]=>[2,4,6,3,5,1,8,7]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[6,7,4,5,2,3,1,8]=>[5,6,3,4,1,2,8,7]=>[4,1,6,3,5,2,8,7]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>[6,5,4,7,2,3,1,8]=>[5,6,3,2,1,4,8,7]=>[2,3,6,1,5,4,8,7]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[5,6,4,7,2,3,1,8]=>[5,6,3,1,2,4,8,7]=>[3,1,6,2,5,4,8,7]
[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[4,5,6,7,2,3,1,8]=>[5,6,1,2,3,4,8,7]=>[6,1,2,3,5,4,8,7]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[7,6,5,3,2,4,1,8]=>[5,4,6,3,2,1,8,7]=>[2,3,6,5,4,1,8,7]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[6,5,7,3,2,4,1,8]=>[5,4,6,2,1,3,8,7]=>[2,6,1,5,4,3,8,7]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[5,6,7,3,2,4,1,8]=>[5,4,6,1,2,3,8,7]=>[6,1,2,5,4,3,8,7]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[4,5,6,3,2,1,8,7]=>[2,3,6,4,5,1,8,7]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[6,7,5,2,3,4,1,8]=>[4,5,6,3,1,2,8,7]=>[3,1,6,4,5,2,8,7]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[7,5,6,2,3,4,1,8]=>[4,5,6,2,3,1,8,7]=>[3,6,2,4,5,1,8,7]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[6,5,7,2,3,4,1,8]=>[4,5,6,2,1,3,8,7]=>[2,6,1,4,5,3,8,7]
[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[5,6,7,2,3,4,1,8]=>[4,5,6,1,2,3,8,7]=>[6,1,2,4,5,3,8,7]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>[7,6,4,3,2,5,1,8]=>[5,4,3,6,2,1,8,7]=>[2,6,4,5,3,1,8,7]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[6,7,4,3,2,5,1,8]=>[5,4,3,6,1,2,8,7]=>[6,1,4,5,3,2,8,7]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[7,6,4,2,3,5,1,8]=>[4,5,3,6,2,1,8,7]=>[2,6,5,4,3,1,8,7]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[6,7,3,2,4,5,1,8]=>[4,3,5,6,1,2,8,7]=>[6,1,4,3,5,2,8,7]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[7,6,2,3,4,5,1,8]=>[3,4,5,6,2,1,8,7]=>[2,6,3,4,5,1,8,7]
[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>[6,7,2,3,4,5,1,8]=>[3,4,5,6,1,2,8,7]=>[6,1,3,4,5,2,8,7]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[7,5,4,3,2,6,1,8]=>[5,4,3,2,6,1,8,7]=>[6,3,4,5,2,1,8,7]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[7,4,5,3,2,6,1,8]=>[5,4,2,3,6,1,8,7]=>[6,4,2,5,3,1,8,7]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[7,5,3,4,2,6,1,8]=>[5,3,4,2,6,1,8,7]=>[6,4,5,3,2,1,8,7]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[7,4,3,5,2,6,1,8]=>[5,3,2,4,6,1,8,7]=>[6,3,5,2,4,1,8,7]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>[7,5,4,2,3,6,1,8]=>[4,5,3,2,6,1,8,7]=>[6,3,5,4,2,1,8,7]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[7,5,3,2,4,6,1,8]=>[4,3,5,2,6,1,8,7]=>[6,5,4,3,2,1,8,7]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>[7,4,2,3,5,6,1,8]=>[3,4,2,5,6,1,8,7]=>[6,4,3,2,5,1,8,7]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[5,6,3,4,2,7,1,8]=>[5,3,4,1,2,6,8,7]=>[4,1,5,3,2,6,8,7]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[6,4,3,5,2,7,1,8]=>[5,3,2,4,1,6,8,7]=>[4,3,5,2,1,6,8,7]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[5,3,1,2,4,6,8,7]=>[3,1,5,2,4,6,8,7]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[4,3,2,1,5,6,8,7]=>[2,3,4,1,5,6,8,7]
[[.,[[[[.,.],[[.,.],.]],.],.]],.]=>[4,5,2,3,6,7,1,8]=>[3,4,1,2,5,6,8,7]=>[4,1,3,2,5,6,8,7]
[[.,[[[[[[.,.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,1,8]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,3,1,2,8]=>[7,5,4,2,3,1,8,6]=>[3,4,2,5,7,8,1,6]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,3,1,2,8]=>[7,5,4,1,2,3,8,6]=>[4,1,2,5,7,8,3,6]
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[4,5,6,7,3,1,2,8]=>[7,5,1,2,3,4,8,6]=>[5,1,2,3,7,8,4,6]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[7,5,6,3,4,1,2,8]=>[7,4,5,2,3,1,8,6]=>[3,5,2,7,4,8,1,6]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>[7,4,3,5,6,1,2,8]=>[7,3,2,4,5,1,8,6]=>[5,3,7,2,4,8,1,6]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>[6,5,4,3,7,1,2,8]=>[7,4,3,2,1,5,8,6]=>[2,3,4,7,1,8,5,6]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>[6,5,3,4,7,1,2,8]=>[7,3,4,2,1,5,8,6]=>[2,4,7,3,1,8,5,6]
[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[4,5,3,6,7,1,2,8]=>[7,3,1,2,4,5,8,6]=>[3,1,7,2,4,8,5,6]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,2,1,3,8]=>[5,7,4,1,2,3,8,6]=>[4,1,2,7,5,8,3,6]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,2,1,3,8]=>[5,7,3,2,4,1,8,6]=>[4,3,7,2,5,8,1,6]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[5,6,4,7,2,1,3,8]=>[5,7,3,1,2,4,8,6]=>[3,1,7,2,5,8,4,6]
[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>[6,5,7,4,1,2,3,8]=>[6,7,4,2,1,3,8,5]=>[2,4,1,7,8,6,3,5]
[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,1,2,3,8]=>[6,7,4,1,2,3,8,5]=>[4,1,2,7,8,6,3,5]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,1,2,3,8]=>[6,7,3,2,4,1,8,5]=>[4,3,7,2,8,6,1,5]
[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,1,2,3,8]=>[6,7,2,3,4,1,8,5]=>[4,7,2,3,8,6,1,5]
[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>[6,5,4,7,1,2,3,8]=>[6,7,3,2,1,4,8,5]=>[2,3,7,1,8,6,4,5]
[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[5,6,4,7,1,2,3,8]=>[6,7,3,1,2,4,8,5]=>[3,1,7,2,8,6,4,5]
[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[5,4,6,7,1,2,3,8]=>[6,7,2,1,3,4,8,5]=>[2,7,1,3,8,6,4,5]
[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[4,5,6,7,1,2,3,8]=>[6,7,1,2,3,4,8,5]=>[7,1,2,3,8,6,4,5]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>[6,7,5,2,3,1,4,8]=>[4,5,7,3,1,2,8,6]=>[3,1,7,4,5,8,2,6]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[7,5,6,2,3,1,4,8]=>[4,5,7,2,3,1,8,6]=>[3,7,2,4,5,8,1,6]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[7,6,5,3,1,2,4,8]=>[6,4,7,3,2,1,8,5]=>[2,3,7,6,8,4,1,5]
[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[5,6,7,3,1,2,4,8]=>[6,4,7,1,2,3,8,5]=>[7,1,2,6,8,4,3,5]
[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[5,6,7,2,1,3,4,8]=>[4,6,7,1,2,3,8,5]=>[7,1,2,4,8,6,3,5]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[7,6,5,1,2,3,4,8]=>[5,6,7,3,2,1,8,4]=>[2,3,7,8,5,6,1,4]
[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[6,7,5,1,2,3,4,8]=>[5,6,7,3,1,2,8,4]=>[3,1,7,8,5,6,2,4]
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[7,5,6,1,2,3,4,8]=>[5,6,7,2,3,1,8,4]=>[3,7,2,8,5,6,1,4]
[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[6,5,7,1,2,3,4,8]=>[5,6,7,2,1,3,8,4]=>[2,7,1,8,5,6,3,4]
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>[5,6,7,1,2,3,8,4]=>[7,1,2,8,5,6,3,4]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[6,7,4,3,2,1,5,8]=>[5,4,3,7,1,2,8,6]=>[7,1,4,5,3,8,2,6]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[7,6,2,3,4,1,5,8]=>[3,4,5,7,2,1,8,6]=>[2,7,3,4,5,8,1,6]
[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[6,7,2,3,4,1,5,8]=>[3,4,5,7,1,2,8,6]=>[7,1,3,4,5,8,2,6]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[7,6,4,3,1,2,5,8]=>[6,4,3,7,2,1,8,5]=>[2,7,4,6,8,3,1,5]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[6,7,4,3,1,2,5,8]=>[6,4,3,7,1,2,8,5]=>[7,1,4,6,8,3,2,5]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[7,6,4,2,1,3,5,8]=>[4,6,3,7,2,1,8,5]=>[2,7,6,4,8,3,1,5]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[7,6,3,1,2,4,5,8]=>[5,3,6,7,2,1,8,4]=>[2,7,5,8,3,6,1,4]
[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[6,7,3,1,2,4,5,8]=>[5,3,6,7,1,2,8,4]=>[7,1,5,8,3,6,2,4]
[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[7,6,1,2,3,4,5,8]=>[4,5,6,7,2,1,8,3]=>[2,7,8,4,5,6,1,3]
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[6,7,1,2,3,4,5,8]=>[4,5,6,7,1,2,8,3]=>[7,1,8,4,5,6,2,3]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[7,5,4,3,2,1,6,8]=>[5,4,3,2,7,1,8,6]=>[7,3,4,5,2,8,1,6]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>[7,5,3,4,2,1,6,8]=>[5,3,4,2,7,1,8,6]=>[7,4,5,3,2,8,1,6]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>[7,4,3,5,2,1,6,8]=>[5,3,2,4,7,1,8,6]=>[7,3,5,2,4,8,1,6]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>[7,3,4,5,2,1,6,8]=>[5,2,3,4,7,1,8,6]=>[7,5,2,3,4,8,1,6]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[7,5,3,2,4,1,6,8]=>[4,3,5,2,7,1,8,6]=>[7,5,4,3,2,8,1,6]
[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[7,3,4,5,1,2,6,8]=>[6,2,3,4,7,1,8,5]=>[7,6,2,3,8,4,1,5]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[7,5,4,1,2,3,6,8]=>[5,6,3,2,7,1,8,4]=>[7,3,6,8,5,2,1,4]
[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[7,5,1,2,3,4,6,8]=>[4,5,6,2,7,1,8,3]=>[7,6,8,4,5,2,1,3]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[7,4,3,2,1,5,6,8]=>[4,3,2,6,7,1,8,5]=>[7,3,4,2,8,6,1,5]
[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[7,2,3,1,4,5,6,8]=>[2,3,5,6,7,1,8,4]=>[7,2,3,8,5,6,1,4]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[6,5,4,3,2,1,7,8]=>[5,4,3,2,1,7,8,6]=>[2,3,4,5,1,8,7,6]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>[5,4,6,3,2,1,7,8]=>[5,4,2,1,3,7,8,6]=>[2,4,1,5,3,8,7,6]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[6,5,3,4,2,1,7,8]=>[5,3,4,2,1,7,8,6]=>[2,4,5,3,1,8,7,6]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>[5,4,3,6,2,1,7,8]=>[5,3,2,1,4,7,8,6]=>[2,3,5,1,4,8,7,6]
[[[.,[.,[[.,[[.,.],.]],.]]],.],.]=>[4,5,3,6,2,1,7,8]=>[5,3,1,2,4,7,8,6]=>[3,1,5,2,4,8,7,6]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>[6,4,5,2,3,1,7,8]=>[4,5,2,3,1,7,8,6]=>[3,5,2,4,1,8,7,6]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[6,5,2,3,4,1,7,8]=>[3,4,5,2,1,7,8,6]=>[2,5,3,4,1,8,7,6]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[4,3,2,1,5,7,8,6]=>[2,3,4,1,5,8,7,6]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.]=>[4,3,5,2,6,1,7,8]=>[4,2,1,3,5,7,8,6]=>[2,4,1,3,5,8,7,6]
[[[.,[[.,[[[.,.],.],.]],.]],.],.]=>[3,4,5,2,6,1,7,8]=>[4,1,2,3,5,7,8,6]=>[4,1,2,3,5,8,7,6]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>[5,3,2,4,6,1,7,8]=>[3,2,4,1,5,7,8,6]=>[4,3,2,1,5,8,7,6]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.]=>[4,3,2,5,6,1,7,8]=>[3,2,1,4,5,7,8,6]=>[2,3,1,4,5,8,7,6]
[[[.,[[[[[.,.],.],.],.],.]],.],.]=>[2,3,4,5,6,1,7,8]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[6,5,4,3,1,2,7,8]=>[6,4,3,2,1,7,8,5]=>[2,3,4,6,8,1,7,5]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[5,6,4,3,1,2,7,8]=>[6,4,3,1,2,7,8,5]=>[3,1,4,6,8,2,7,5]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[5,4,6,3,1,2,7,8]=>[6,4,2,1,3,7,8,5]=>[2,4,1,6,8,3,7,5]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[6,5,3,4,1,2,7,8]=>[6,3,4,2,1,7,8,5]=>[2,4,6,3,8,1,7,5]
[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[5,6,3,4,1,2,7,8]=>[6,3,4,1,2,7,8,5]=>[4,1,6,3,8,2,7,5]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[5,4,3,6,1,2,7,8]=>[6,3,2,1,4,7,8,5]=>[2,3,6,1,8,4,7,5]
[[[[.,.],[[.,[[.,.],.]],.]],.],.]=>[4,5,3,6,1,2,7,8]=>[6,3,1,2,4,7,8,5]=>[3,1,6,2,8,4,7,5]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[5,6,4,2,1,3,7,8]=>[4,6,3,1,2,7,8,5]=>[3,1,6,4,8,2,7,5]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[5,4,6,2,1,3,7,8]=>[4,6,2,1,3,7,8,5]=>[2,6,1,4,8,3,7,5]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[6,5,4,1,2,3,7,8]=>[5,6,3,2,1,7,8,4]=>[2,3,6,8,5,1,7,4]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[5,6,3,2,1,4,7,8]=>[4,3,6,1,2,7,8,5]=>[6,1,4,3,8,2,7,5]
[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[6,5,1,2,3,4,7,8]=>[4,5,6,2,1,7,8,3]=>[2,6,8,4,5,1,7,3]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[6,4,3,2,1,5,7,8]=>[4,3,2,6,1,7,8,5]=>[6,3,4,2,8,1,7,5]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[6,3,2,1,4,5,7,8]=>[3,2,5,6,1,7,8,4]=>[6,3,2,8,5,1,7,4]
[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[6,1,2,3,4,5,7,8]=>[3,4,5,6,1,7,8,2]=>[6,8,3,4,5,1,7,2]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[4,3,2,1,6,7,8,5]=>[2,3,4,1,8,6,7,5]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[4,3,1,2,6,7,8,5]=>[3,1,4,2,8,6,7,5]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[5,3,4,2,1,6,7,8]=>[4,2,3,1,6,7,8,5]=>[3,4,2,1,8,6,7,5]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[4,2,1,3,6,7,8,5]=>[2,4,1,3,8,6,7,5]
[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[4,1,2,3,6,7,8,5]=>[4,1,2,3,8,6,7,5]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[5,4,2,3,1,6,7,8]=>[3,4,2,1,6,7,8,5]=>[2,4,3,1,8,6,7,5]
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[4,5,2,3,1,6,7,8]=>[3,4,1,2,6,7,8,5]=>[4,1,3,2,8,6,7,5]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[5,3,2,4,1,6,7,8]=>[3,2,4,1,6,7,8,5]=>[4,3,2,1,8,6,7,5]
[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[5,2,3,4,1,6,7,8]=>[2,3,4,1,6,7,8,5]=>[4,2,3,1,8,6,7,5]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[3,2,1,4,6,7,8,5]=>[2,3,1,4,8,6,7,5]
[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[3,1,2,4,6,7,8,5]=>[3,1,2,4,8,6,7,5]
[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[4,2,3,5,1,6,7,8]=>[2,3,1,4,6,7,8,5]=>[3,2,1,4,8,6,7,5]
[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,6,7,5]
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[5,4,3,1,2,6,7,8]=>[5,3,2,1,6,7,8,4]=>[2,3,5,8,1,6,7,4]
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[5,3,4,1,2,6,7,8]=>[5,2,3,1,6,7,8,4]=>[3,5,2,8,1,6,7,4]
[[[[[.,.],[[[.,.],.],.]],.],.],.]=>[3,4,5,1,2,6,7,8]=>[5,1,2,3,6,7,8,4]=>[5,1,2,8,3,6,7,4]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[5,4,2,1,3,6,7,8]=>[3,5,2,1,6,7,8,4]=>[2,5,3,8,1,6,7,4]
[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[5,4,1,2,3,6,7,8]=>[4,5,2,1,6,7,8,3]=>[2,5,8,4,1,6,7,3]
[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[4,5,1,2,3,6,7,8]=>[4,5,1,2,6,7,8,3]=>[5,1,8,4,2,6,7,3]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[5,3,2,1,4,6,7,8]=>[3,2,5,1,6,7,8,4]=>[5,3,2,8,1,6,7,4]
[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[5,2,3,1,4,6,7,8]=>[2,3,5,1,6,7,8,4]=>[5,2,3,8,1,6,7,4]
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[5,3,1,2,4,6,7,8]=>[4,2,5,1,6,7,8,3]=>[5,4,8,2,1,6,7,3]
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[5,1,2,3,4,6,7,8]=>[3,4,5,1,6,7,8,2]=>[5,8,3,4,1,6,7,2]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[3,2,1,5,6,7,8,4]=>[2,3,1,8,5,6,7,4]
[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[3,1,2,5,6,7,8,4]=>[3,1,2,8,5,6,7,4]
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[4,2,3,1,5,6,7,8]=>[2,3,1,5,6,7,8,4]=>[3,2,1,8,5,6,7,4]
[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[4,3,1,2,5,6,7,8]=>[4,2,1,5,6,7,8,3]=>[2,4,8,1,5,6,7,3]
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[3,4,1,2,5,6,7,8]=>[4,1,2,5,6,7,8,3]=>[4,1,8,2,5,6,7,3]
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[4,2,1,3,5,6,7,8]=>[2,4,1,5,6,7,8,3]=>[4,2,8,1,5,6,7,3]
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[2,1,4,5,6,7,8,3]=>[2,1,8,4,5,6,7,3]
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[3,1,2,4,5,6,7,8]=>[3,1,4,5,6,7,8,2]=>[3,8,1,4,5,6,7,2]
[[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]
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
Inverse Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $c\pi^{-1}$ where $c = (1,\ldots,n)$ is the long cycle.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.
searching the database
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