Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00090: Permutations —cycle-as-one-line notation⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00090: Permutations —cycle-as-one-line notation⟶ 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]=>[1,2]=>[1,2]
[.,[.,[.,.]]]=>[3,2,1]=>[1,3,2]=>[1,3,2]
[.,[[.,.],.]]=>[2,3,1]=>[1,2,3]=>[1,2,3]
[[.,.],[.,.]]=>[1,3,2]=>[1,2,3]=>[1,2,3]
[[.,[.,.]],.]=>[2,1,3]=>[1,2,3]=>[1,2,3]
[[[.,.],.],.]=>[1,2,3]=>[1,2,3]=>[1,2,3]
[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[1,4,2,3]=>[1,4,2,3]
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[1,3,2,4]=>[1,3,2,4]
[.,[[.,.],[.,.]]]=>[2,4,3,1]=>[1,2,4,3]=>[1,2,4,3]
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[1,3,4,2]=>[1,4,3,2]
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4]
[[.,.],[.,[.,.]]]=>[1,4,3,2]=>[1,2,4,3]=>[1,2,4,3]
[[.,.],[[.,.],.]]=>[1,3,4,2]=>[1,2,3,4]=>[1,2,3,4]
[[.,[.,.]],[.,.]]=>[2,1,4,3]=>[1,2,3,4]=>[1,2,3,4]
[[[.,.],.],[.,.]]=>[1,2,4,3]=>[1,2,3,4]=>[1,2,3,4]
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[1,3,2,4]=>[1,3,2,4]
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[1,2,3,4]=>[1,2,3,4]
[[[.,.],[.,.]],.]=>[1,3,2,4]=>[1,2,3,4]=>[1,2,3,4]
[[[.,[.,.]],.],.]=>[2,1,3,4]=>[1,2,3,4]=>[1,2,3,4]
[[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[1,5,2,4,3]=>[1,5,4,2,3]
[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[1,4,2,5,3]=>[1,4,5,2,3]
[.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[1,3,4,2,5]=>[1,4,3,2,5]
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[1,4,2,3,5]=>[1,4,2,3,5]
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[1,3,5,2,4]=>[1,5,3,2,4]
[.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[1,2,5,3,4]=>[1,2,5,3,4]
[.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[1,2,4,3,5]=>[1,2,4,3,5]
[.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[1,3,5,2,4]=>[1,5,3,2,4]
[.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4]
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[1,4,5,2,3]=>[1,5,2,4,3]
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[1,3,2,4,5]=>[1,3,2,4,5]
[.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[1,2,4,5,3]=>[1,2,5,4,3]
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[1,3,4,5,2]=>[1,5,3,4,2]
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[1,2,5,3,4]=>[1,2,5,3,4]
[[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[1,2,4,3,5]=>[1,2,4,3,5]
[[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[1,2,3,5,4]=>[1,2,3,5,4]
[[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[1,2,4,5,3]=>[1,2,5,4,3]
[[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]
[[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[1,2,3,5,4]=>[1,2,3,5,4]
[[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[1,3,2,4,5]=>[1,3,2,4,5]
[[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[1,4,2,3,5]=>[1,4,2,3,5]
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4]
[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[1,5,2,6,3,4]=>[1,5,6,3,2,4]
[.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[1,4,3,6,2,5]=>[1,6,4,3,2,5]
[.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[1,3,5,2,6,4]=>[1,5,3,6,2,4]
[.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[1,3,6,2,5,4]=>[1,6,3,5,2,4]
[.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[1,5,2,4,6,3]=>[1,5,6,2,4,3]
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[1,4,6,2,5,3]=>[1,6,5,4,2,3]
[.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[1,3,6,2,4,5]=>[1,6,3,2,4,5]
[.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]
[.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[1,4,6,2,3,5]=>[1,6,2,4,3,5]
[.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[1,5,6,2,4,3]=>[1,6,4,2,5,3]
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[1,4,2,5,6,3]=>[1,4,6,2,5,3]
[.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[1,4,5,6,2,3]=>[1,6,2,4,5,3]
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4]
[[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[1,2,5,3,6,4]=>[1,2,5,6,3,4]
[[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[1,2,5,6,3,4]=>[1,2,6,3,5,4]
[[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5]
[[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]
[[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6]
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[1,4,2,5,3,6]=>[1,4,5,2,3,6]
[[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[1,4,5,2,3,6]=>[1,5,2,4,3,6]
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6]
[[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6]
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4]
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[1,6,2,7,3,5,4]=>[1,6,7,5,3,2,4]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[1,5,3,6,2,7,4]=>[1,6,5,7,3,2,4]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[1,6,2,5,3,7,4]=>[1,6,5,7,2,3,4]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[1,5,3,7,2,6,4]=>[1,7,5,6,3,2,4]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[1,4,5,3,7,2,6]=>[1,7,5,4,3,2,6]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[1,5,3,7,2,4,6]=>[1,7,5,2,3,4,6]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[1,5,3,4,7,2,6]=>[1,7,5,3,4,2,6]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[1,4,7,2,6,3,5]=>[1,7,6,4,3,2,5]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[1,5,3,6,2,4,7]=>[1,6,5,2,3,4,7]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[1,4,7,2,5,3,6]=>[1,7,5,4,2,3,6]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[1,3,6,2,7,4,5]=>[1,6,3,7,4,2,5]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[1,3,7,2,6,4,5]=>[1,7,3,6,4,2,5]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[1,3,7,2,5,4,6]=>[1,7,3,5,2,4,6]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[1,3,5,4,7,2,6]=>[1,7,3,5,4,2,6]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[1,4,6,2,3,7,5]=>[1,6,2,4,7,3,5]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[1,4,7,2,3,6,5]=>[1,7,2,4,6,3,5]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[1,3,6,2,4,7,5]=>[1,6,3,2,7,4,5]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[1,5,6,2,4,7,3]=>[1,6,7,2,5,4,3]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[1,4,7,2,5,6,3]=>[1,7,6,4,2,5,3]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[1,6,2,5,7,3,4]=>[1,6,7,3,2,5,4]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[1,5,7,2,6,3,4]=>[1,7,6,3,5,2,4]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[1,4,3,5,7,2,6]=>[1,7,4,3,5,2,6]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[1,3,5,7,2,6,4]=>[1,7,3,6,5,2,4]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[1,3,6,2,5,7,4]=>[1,6,3,7,2,5,4]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[1,5,7,2,4,6,3]=>[1,7,6,2,5,4,3]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[1,4,6,2,5,7,3]=>[1,6,7,4,2,5,3]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[1,3,7,2,4,6,5]=>[1,7,3,2,6,4,5]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[1,3,6,4,7,2,5]=>[1,7,3,6,2,4,5]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[1,3,6,4,5,7,2]=>[1,7,3,6,4,5,2]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[1,4,7,2,3,5,6]=>[1,7,2,4,3,5,6]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[1,4,6,5,7,2,3]=>[1,7,2,4,6,5,3]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[1,3,4,7,2,5,6]=>[1,7,3,4,2,5,6]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[1,5,7,2,4,3,6]=>[1,7,4,2,5,3,6]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[1,4,2,5,7,3,6]=>[1,4,7,2,5,3,6]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[1,4,5,7,2,3,6]=>[1,7,2,4,5,3,6]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[1,6,7,2,5,3,4]=>[1,7,5,3,2,6,4]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[1,5,2,6,7,3,4]=>[1,5,7,3,2,6,4]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[1,4,3,6,7,2,5]=>[1,7,4,3,2,6,5]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[1,3,5,2,6,7,4]=>[1,5,3,7,2,6,4]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[1,3,6,7,2,5,4]=>[1,7,3,5,2,6,4]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[1,5,2,4,6,7,3]=>[1,5,7,2,4,6,3]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[1,4,6,7,2,5,3]=>[1,7,5,4,2,6,3]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[1,3,6,7,2,4,5]=>[1,7,3,2,4,6,5]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[1,4,6,7,2,3,5]=>[1,7,2,4,3,6,5]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[1,5,6,7,2,4,3]=>[1,7,4,2,5,6,3]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[1,4,2,5,6,7,3]=>[1,4,7,2,5,6,3]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[1,4,5,6,7,2,3]=>[1,7,2,4,5,6,3]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[1,2,6,3,7,4,5]=>[1,2,6,7,4,3,5]
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[1,2,5,4,7,3,6]=>[1,2,7,5,4,3,6]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[1,2,4,6,3,7,5]=>[1,2,6,4,7,3,5]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[1,2,4,7,3,6,5]=>[1,2,7,4,6,3,5]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[1,2,6,3,5,7,4]=>[1,2,6,7,3,5,4]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[1,2,5,7,3,6,4]=>[1,2,7,6,5,3,4]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[1,2,4,7,3,5,6]=>[1,2,7,4,3,5,6]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[1,2,5,7,3,4,6]=>[1,2,7,3,5,4,6]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[1,2,6,7,3,5,4]=>[1,2,7,5,3,6,4]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[1,2,5,3,6,7,4]=>[1,2,5,7,3,6,4]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[1,2,5,6,7,3,4]=>[1,2,7,3,5,6,4]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]
[[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[1,2,3,6,4,7,5]=>[1,2,3,6,7,4,5]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]
[[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[1,2,3,6,7,4,5]=>[1,2,3,7,4,6,5]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]
[[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]
[[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[1,3,4,2,5,7,6]=>[1,4,3,2,5,7,6]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7]
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[1,5,2,6,3,4,7]=>[1,5,6,3,2,4,7]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[1,4,3,6,2,5,7]=>[1,6,4,3,2,5,7]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[1,3,5,2,6,4,7]=>[1,5,3,6,2,4,7]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[1,3,6,2,5,4,7]=>[1,6,3,5,2,4,7]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[1,5,2,4,6,3,7]=>[1,5,6,2,4,3,7]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[1,4,6,2,5,3,7]=>[1,6,5,4,2,3,7]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[1,3,6,2,4,5,7]=>[1,6,3,2,4,5,7]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[1,4,6,2,3,5,7]=>[1,6,2,4,3,5,7]
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]
[[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[1,5,6,2,4,3,7]=>[1,6,4,2,5,3,7]
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[1,4,2,5,6,3,7]=>[1,4,6,2,5,3,7]
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]
[[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]
[[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[1,4,5,6,2,3,7]=>[1,6,2,4,5,3,7]
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[1,2,5,3,6,4,7]=>[1,2,5,6,3,4,7]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]
[[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[1,2,5,6,3,4,7]=>[1,2,6,3,5,4,7]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]
[[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]
[[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7]
[[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]
[[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7]
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[1,4,2,5,3,6,7]=>[1,4,5,2,3,6,7]
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]
[[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]
[[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[1,4,5,2,3,6,7]=>[1,5,2,4,3,6,7]
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7]
[[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]
[[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7]
[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[1,8,2,7,3,6,4,5]=>[1,8,7,6,4,3,2,5]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[1,7,2,8,3,6,4,5]=>[1,7,8,6,4,3,2,5]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[6,8,7,5,4,3,2,1]=>[1,6,3,7,2,8,4,5]=>[1,7,6,8,4,3,2,5]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[1,7,2,6,3,8,4,5]=>[1,7,6,8,4,2,3,5]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[1,6,3,8,2,7,4,5]=>[1,8,6,7,4,3,2,5]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[5,8,7,6,4,3,2,1]=>[1,5,4,6,3,7,2,8]=>[1,7,6,5,4,3,2,8]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[1,5,4,8,2,6,3,7]=>[1,8,6,5,4,2,3,7]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[4,8,7,6,5,3,2,1]=>[1,4,6,3,7,2,8,5]=>[1,7,6,4,8,3,2,5]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[4,7,8,6,5,3,2,1]=>[1,4,6,3,8,2,7,5]=>[1,8,6,4,7,3,2,5]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[4,6,7,8,5,3,2,1]=>[1,4,8,2,6,3,7,5]=>[1,8,6,4,7,2,3,5]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[4,5,8,7,6,3,2,1]=>[1,4,7,2,5,6,3,8]=>[1,7,6,4,2,5,3,8]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[4,5,7,8,6,3,2,1]=>[1,4,8,2,5,6,3,7]=>[1,8,6,4,2,5,3,7]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[4,6,5,8,7,3,2,1]=>[1,4,8,2,6,3,5,7]=>[1,8,6,4,3,2,5,7]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[4,5,6,8,7,3,2,1]=>[1,4,8,2,5,7,3,6]=>[1,8,7,4,2,5,6,3]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[5,7,6,4,8,3,2,1]=>[1,5,8,2,7,3,6,4]=>[1,8,7,6,5,3,2,4]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[4,6,7,5,8,3,2,1]=>[1,4,5,8,2,6,3,7]=>[1,8,6,4,5,2,3,7]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[1,5,8,2,4,7,3,6]=>[1,8,7,2,5,4,6,3]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,5,6,3]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[3,8,7,6,5,4,2,1]=>[1,3,7,2,8,4,6,5]=>[1,7,3,8,6,4,2,5]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[3,6,7,5,8,4,2,1]=>[1,3,7,2,6,4,5,8]=>[1,7,3,6,4,2,5,8]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>[1,3,6,4,7,2,5,8]=>[1,7,3,6,2,4,5,8]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[4,3,6,7,8,5,2,1]=>[1,4,7,2,3,6,5,8]=>[1,7,2,4,6,3,5,8]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[5,4,3,7,8,6,2,1]=>[1,5,8,2,4,7,3,6]=>[1,8,7,2,5,4,6,3]
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>[4,5,3,7,8,6,2,1]=>[1,4,7,2,5,8,3,6]=>[1,7,8,4,2,5,6,3]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[4,3,5,7,8,6,2,1]=>[1,4,7,2,3,5,8,6]=>[1,7,2,4,3,8,5,6]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>[3,4,5,7,8,6,2,1]=>[1,3,5,8,2,4,7,6]=>[1,8,3,2,5,7,4,6]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[5,4,3,6,8,7,2,1]=>[1,5,8,2,4,6,7,3]=>[1,8,7,2,5,3,4,6]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[1,7,2,6,8,3,5,4]=>[1,7,8,5,3,2,6,4]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[5,7,6,4,3,8,2,1]=>[1,5,3,6,8,2,7,4]=>[1,8,5,7,3,6,2,4]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[1,5,3,6,8,2,4,7]=>[1,8,5,2,3,6,4,7]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[1,4,7,2,5,3,6,8]=>[1,7,5,4,2,3,6,8]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[2,7,6,8,5,4,3,1]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[2,5,6,7,8,4,3,1]=>[1,2,5,8,3,6,4,7]=>[1,2,8,6,5,3,4,7]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[2,4,8,7,6,5,3,1]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[2,4,6,8,7,5,3,1]=>[1,2,4,8,3,6,5,7]=>[1,2,8,4,6,3,5,7]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[2,4,6,7,8,5,3,1]=>[1,2,4,7,3,6,5,8]=>[1,2,7,4,6,3,5,8]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[2,5,4,8,7,6,3,1]=>[1,2,5,7,3,4,8,6]=>[1,2,7,3,5,8,4,6]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[2,5,6,4,8,7,3,1]=>[1,2,5,8,3,6,7,4]=>[1,2,8,7,5,3,6,4]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[2,4,6,5,8,7,3,1]=>[1,2,4,5,8,3,6,7]=>[1,2,8,4,5,3,6,7]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[2,7,6,5,4,8,3,1]=>[1,2,7,3,6,8,4,5]=>[1,2,7,8,4,3,6,5]
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[2,6,7,5,4,8,3,1]=>[1,2,6,8,3,7,4,5]=>[1,2,8,7,4,6,3,5]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[2,4,7,6,5,8,3,1]=>[1,2,4,6,8,3,7,5]=>[1,2,8,4,7,6,3,5]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[3,2,5,6,7,8,4,1]=>[1,3,5,7,4,6,8,2]=>[1,8,3,7,5,4,6,2]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[2,3,8,7,6,5,4,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[2,3,6,7,8,5,4,1]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[2,3,5,8,7,6,4,1]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[2,3,5,7,8,6,4,1]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[2,3,7,6,5,8,4,1]=>[1,2,3,7,4,6,8,5]=>[1,2,3,7,8,4,6,5]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[2,3,5,6,7,8,4,1]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[4,3,2,8,7,6,5,1]=>[1,4,8,2,3,5,7,6]=>[1,8,2,4,3,7,5,6]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[4,3,2,7,8,6,5,1]=>[1,4,7,5,8,2,3,6]=>[1,8,2,4,7,3,5,6]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[3,4,2,8,7,6,5,1]=>[1,3,2,4,8,5,7,6]=>[1,3,2,4,8,7,5,6]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[3,4,2,7,8,6,5,1]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[2,4,3,8,7,6,5,1]=>[1,2,4,8,3,5,7,6]=>[1,2,8,4,3,7,5,6]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[3,2,4,8,7,6,5,1]=>[1,3,4,8,2,5,7,6]=>[1,8,3,4,2,7,5,6]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[2,3,4,8,7,6,5,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[2,3,4,6,7,8,5,1]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[5,4,3,2,8,7,6,1]=>[1,5,8,2,4,3,6,7]=>[1,8,4,2,5,3,6,7]
[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[4,5,3,2,8,7,6,1]=>[1,4,2,5,8,3,6,7]=>[1,4,8,2,5,3,6,7]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[4,3,5,2,8,7,6,1]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[2,5,4,3,8,7,6,1]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[2,4,5,3,8,7,6,1]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[2,3,5,4,8,7,6,1]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>[2,4,3,5,8,7,6,1]=>[1,2,4,5,8,3,6,7]=>[1,2,8,4,5,3,6,7]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[2,3,4,5,8,7,6,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[6,5,4,3,2,8,7,1]=>[1,6,8,2,5,3,4,7]=>[1,8,5,3,2,6,4,7]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[5,4,6,3,2,8,7,1]=>[1,5,2,4,3,6,8,7]=>[1,5,4,2,3,6,8,7]
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>[4,5,6,3,2,8,7,1]=>[1,4,3,6,8,2,5,7]=>[1,8,4,3,2,6,5,7]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[3,6,5,4,2,8,7,1]=>[1,3,5,2,6,8,4,7]=>[1,5,3,8,2,6,4,7]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[3,5,6,4,2,8,7,1]=>[1,3,6,8,2,5,4,7]=>[1,8,3,5,2,6,4,7]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[5,4,3,6,2,8,7,1]=>[1,5,2,4,6,8,3,7]=>[1,5,8,2,4,6,3,7]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[2,6,5,4,3,8,7,1]=>[1,2,6,8,3,5,4,7]=>[1,2,8,5,3,6,4,7]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[4,3,2,6,5,8,7,1]=>[1,4,6,8,2,3,5,7]=>[1,8,2,4,3,6,5,7]
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[3,4,2,6,5,8,7,1]=>[1,3,2,4,6,8,5,7]=>[1,3,2,4,8,6,5,7]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,1]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[2,3,4,6,5,8,7,1]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[2,5,4,3,6,8,7,1]=>[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>[4,3,2,5,6,8,7,1]=>[1,4,5,6,8,2,3,7]=>[1,8,2,4,5,6,3,7]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[2,4,3,5,6,8,7,1]=>[1,2,4,5,6,8,3,7]=>[1,2,8,4,5,6,3,7]
[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,8,7,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[3,5,7,6,4,2,8,1]=>[1,3,7,8,2,5,4,6]=>[1,8,3,5,2,4,7,6]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[4,3,7,6,5,2,8,1]=>[1,4,6,2,3,7,8,5]=>[1,6,2,4,8,3,7,5]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[5,4,3,7,6,2,8,1]=>[1,5,6,2,4,7,8,3]=>[1,6,8,2,5,4,7,3]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[1,5,7,8,2,4,3,6]=>[1,8,4,2,5,3,7,6]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[1,4,3,6,2,5,7,8]=>[1,6,4,3,2,5,7,8]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[3,6,5,4,7,2,8,1]=>[1,3,5,7,8,2,6,4]=>[1,8,3,6,5,2,7,4]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[3,5,6,4,7,2,8,1]=>[1,3,6,2,5,7,8,4]=>[1,6,3,8,2,5,7,4]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[4,3,6,5,7,2,8,1]=>[1,4,5,7,8,2,3,6]=>[1,8,2,4,5,3,7,6]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[1,5,7,8,2,4,6,3]=>[1,8,6,2,5,4,7,3]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[2,5,4,7,6,3,8,1]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]
[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[2,4,5,6,7,3,8,1]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[3,2,6,7,5,4,8,1]=>[1,3,6,4,7,8,2,5]=>[1,8,3,6,2,4,7,5]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[2,3,7,6,5,4,8,1]=>[1,2,3,7,8,4,6,5]=>[1,2,3,8,6,4,7,5]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[2,3,5,7,6,4,8,1]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[3,4,2,7,6,5,8,1]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[2,4,3,7,6,5,8,1]=>[1,2,4,7,8,3,5,6]=>[1,2,8,4,3,5,7,6]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[2,3,4,7,6,5,8,1]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[5,4,3,2,7,6,8,1]=>[1,5,7,8,2,4,3,6]=>[1,8,4,2,5,3,7,6]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[4,3,5,2,7,6,8,1]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[2,5,4,3,7,6,8,1]=>[1,2,5,7,8,3,4,6]=>[1,2,8,3,5,4,7,6]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,8,1]=>[1,3,5,7,8,2,4,6]=>[1,8,3,2,5,4,7,6]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[2,3,5,4,7,6,8,1]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>[4,3,2,5,7,6,8,1]=>[1,4,5,7,8,2,3,6]=>[1,8,2,4,5,3,7,6]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>[3,2,4,5,7,6,8,1]=>[1,3,4,5,7,8,2,6]=>[1,8,3,4,5,2,7,6]
[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>[2,3,4,5,7,6,8,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[1,6,7,8,2,5,3,4]=>[1,8,5,3,2,6,7,4]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[1,5,2,4,6,7,8,3]=>[1,5,8,2,4,6,7,3]
[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[2,6,5,4,3,7,8,1]=>[1,2,6,7,8,3,5,4]=>[1,2,8,5,3,6,7,4]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[2,3,6,5,4,7,8,1]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]
[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[2,3,5,6,4,7,8,1]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>[3,4,2,6,5,7,8,1]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5]
[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[2,3,4,6,5,7,8,1]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[1,5,6,7,8,2,4,3]=>[1,8,4,2,5,6,7,3]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[3,5,4,2,6,7,8,1]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[2,5,4,3,6,7,8,1]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]
[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[2,4,5,3,6,7,8,1]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[3,2,5,4,6,7,8,1]=>[1,3,5,6,7,8,2,4]=>[1,8,3,2,5,6,7,4]
[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[2,3,5,4,6,7,8,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]
[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[1,7,8,6,5,4,3,2]=>[1,2,7,3,8,4,6,5]=>[1,2,7,8,6,4,3,5]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[1,7,6,8,5,4,3,2]=>[1,2,7,3,6,4,8,5]=>[1,2,7,6,8,3,4,5]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[1,6,7,8,5,4,3,2]=>[1,2,6,4,8,3,7,5]=>[1,2,8,6,7,4,3,5]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[1,6,7,5,8,4,3,2]=>[1,2,6,4,5,8,3,7]=>[1,2,8,6,4,5,3,7]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[1,5,7,6,8,4,3,2]=>[1,2,5,8,3,7,4,6]=>[1,2,8,7,5,4,3,6]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[1,6,5,7,8,4,3,2]=>[1,2,6,4,7,3,5,8]=>[1,2,7,6,3,4,5,8]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[1,5,6,7,8,4,3,2]=>[1,2,5,8,3,6,4,7]=>[1,2,8,6,5,3,4,7]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[1,4,8,7,6,5,3,2]=>[1,2,4,7,3,8,5,6]=>[1,2,7,4,8,5,3,6]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[1,4,6,8,7,5,3,2]=>[1,2,4,8,3,6,5,7]=>[1,2,8,4,6,3,5,7]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[1,4,6,7,8,5,3,2]=>[1,2,4,7,3,6,5,8]=>[1,2,7,4,6,3,5,8]
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>[1,5,4,7,8,6,3,2]=>[1,2,5,8,3,4,7,6]=>[1,2,8,3,5,7,4,6]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[1,4,6,5,8,7,3,2]=>[1,2,4,5,8,3,6,7]=>[1,2,8,4,5,3,6,7]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>[1,5,4,6,8,7,3,2]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[1,4,7,6,5,8,3,2]=>[1,2,4,6,8,3,7,5]=>[1,2,8,4,7,6,3,5]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[1,5,4,6,7,8,3,2]=>[1,2,5,7,3,4,6,8]=>[1,2,7,3,5,4,6,8]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[1,3,8,7,6,5,4,2]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[1,3,6,8,7,5,4,2]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[1,3,6,7,8,5,4,2]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[1,3,5,8,7,6,4,2]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[1,3,5,7,6,8,4,2]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[1,3,5,6,7,8,4,2]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[1,2,4,8,3,5,7,6]=>[1,2,8,4,3,7,5,6]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[1,4,3,7,8,6,5,2]=>[1,2,4,7,5,8,3,6]=>[1,2,8,4,7,3,5,6]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[1,3,4,8,7,6,5,2]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[1,3,4,7,6,8,5,2]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]
[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[1,3,4,6,7,8,5,2]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[1,5,4,3,8,7,6,2]=>[1,2,5,8,3,4,6,7]=>[1,2,8,3,5,4,6,7]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[1,3,5,4,7,8,6,2]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[1,4,3,5,8,7,6,2]=>[1,2,4,5,8,3,6,7]=>[1,2,8,4,5,3,6,7]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[1,3,4,5,8,7,6,2]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[1,6,5,4,3,8,7,2]=>[1,2,6,8,3,5,4,7]=>[1,2,8,5,3,6,4,7]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[1,5,4,3,6,8,7,2]=>[1,2,5,6,8,3,4,7]=>[1,2,8,3,5,6,4,7]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>[1,6,7,5,4,3,8,2]=>[1,2,6,3,7,8,4,5]=>[1,2,6,8,4,3,7,5]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[1,3,5,7,6,4,8,2]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[1,3,4,7,6,5,8,2]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[1,3,5,4,7,6,8,2]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[1,5,4,3,6,7,8,2]=>[1,2,5,6,7,8,3,4]=>[1,2,8,3,5,6,7,4]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[2,1,7,8,6,5,4,3]=>[1,2,3,7,4,8,5,6]=>[1,2,3,7,8,5,4,6]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[2,1,6,8,7,5,4,3]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[2,1,7,6,8,5,4,3]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[2,1,5,8,7,6,4,3]=>[1,2,3,5,7,4,8,6]=>[1,2,3,7,5,8,4,6]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[2,1,5,7,8,6,4,3]=>[1,2,3,5,8,4,7,6]=>[1,2,3,8,5,7,4,6]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[2,1,6,5,8,7,4,3]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[2,1,7,6,5,8,4,3]=>[1,2,3,7,4,6,8,5]=>[1,2,3,7,8,4,6,5]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[2,1,6,7,5,8,4,3]=>[1,2,3,6,8,4,7,5]=>[1,2,3,8,7,6,4,5]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[2,1,5,6,7,8,4,3]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[2,1,4,8,7,6,5,3]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[2,1,4,7,8,6,5,3]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[2,1,4,6,8,7,5,3]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[2,1,4,6,7,8,5,3]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[2,1,4,5,8,7,6,3]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[2,1,4,5,7,8,6,3]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[2,1,4,6,5,8,7,3]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[2,1,4,5,6,8,7,3]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[2,1,5,7,6,4,8,3]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[2,1,6,5,7,4,8,3]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[2,1,5,6,7,4,8,3]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[2,1,4,7,6,5,8,3]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[2,1,4,6,7,5,8,3]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,8,3]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[2,1,5,6,4,7,8,3]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[2,1,4,5,6,7,8,3]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,8,7,6,5,4,3]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[1,2,6,7,8,5,4,3]=>[1,2,3,6,5,8,4,7]=>[1,2,3,8,6,5,4,7]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[1,2,6,5,8,7,4,3]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[1,2,7,6,5,8,4,3]=>[1,2,3,7,4,6,8,5]=>[1,2,3,7,8,4,6,5]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[1,2,5,7,6,8,4,3]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[1,2,5,6,7,8,4,3]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[1,2,4,8,7,6,5,3]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[1,2,4,7,8,6,5,3]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[1,2,4,6,8,7,5,3]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]
[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[1,2,4,6,7,8,5,3]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[1,2,5,4,8,7,6,3]=>[1,2,3,5,8,4,6,7]=>[1,2,3,8,5,4,6,7]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[1,2,5,4,7,8,6,3]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4]
[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[1,2,4,5,7,8,6,3]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[1,2,4,6,5,8,7,3]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[1,2,5,4,6,8,7,3]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[1,2,5,7,6,4,8,3]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]
[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[1,2,5,6,7,4,8,3]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[1,2,4,7,6,5,8,3]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[1,2,6,5,4,7,8,3]=>[1,2,3,6,7,8,4,5]=>[1,2,3,8,4,6,7,5]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[1,3,2,4,8,5,7,6]=>[1,3,2,4,8,7,5,6]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[3,2,1,7,8,6,5,4]=>[1,3,2,4,7,5,8,6]=>[1,3,2,4,7,8,5,6]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[3,2,1,6,7,8,5,4]=>[1,3,2,4,6,8,5,7]=>[1,3,2,4,8,6,5,7]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[3,2,1,5,8,7,6,4]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[3,2,1,5,7,8,6,4]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[3,2,1,6,5,8,7,4]=>[1,3,2,4,6,8,5,7]=>[1,3,2,4,8,6,5,7]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[3,2,1,7,6,5,8,4]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[3,2,1,6,7,5,8,4]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[3,2,1,5,7,6,8,4]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[3,2,1,6,5,7,8,4]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,6,7,5]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[3,2,1,5,6,7,8,4]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[2,3,1,8,7,6,5,4]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[2,3,1,6,8,7,5,4]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[2,3,1,7,6,8,5,4]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[2,3,1,6,7,8,5,4]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[2,3,1,6,5,8,7,4]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[2,3,1,5,7,6,8,4]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[2,3,1,5,6,7,8,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[1,3,2,8,7,6,5,4]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[1,3,2,6,8,7,5,4]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[1,3,2,5,7,8,6,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[1,3,2,6,5,8,7,4]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[1,3,2,7,6,5,8,4]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[1,3,2,5,7,6,8,4]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[1,3,2,6,5,7,8,4]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[2,1,3,8,7,6,5,4]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[2,1,3,7,8,6,5,4]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[2,1,3,6,8,7,5,4]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,8,7,6,5,4]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[1,2,3,7,8,6,5,4]=>[1,2,3,4,7,5,8,6]=>[1,2,3,4,7,8,5,6]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[1,2,3,6,8,7,5,4]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[1,2,3,7,6,8,5,4]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[1,2,3,6,7,8,5,4]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[1,2,3,5,8,7,6,4]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[1,2,3,5,7,8,6,4]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[1,2,3,6,5,8,7,4]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[1,2,3,5,6,8,7,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[1,2,3,7,6,5,8,4]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,8,5,7,6]
[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[1,2,3,6,7,5,8,4]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[1,2,3,5,7,6,8,4]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,6,5,7,8,4]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[1,4,2,3,5,8,6,7]=>[1,4,2,3,5,8,6,7]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[4,3,2,1,7,8,6,5]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[4,3,2,1,6,8,7,5]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[4,3,2,1,7,6,8,5]=>[1,4,2,3,5,7,8,6]=>[1,4,2,3,5,8,7,6]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[4,3,2,1,6,7,8,5]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[3,4,2,1,8,7,6,5]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>[3,4,2,1,7,6,8,5]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[3,4,2,1,6,7,8,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[2,4,3,1,8,7,6,5]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[2,4,3,1,7,6,8,5]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[2,4,3,1,6,7,8,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[3,2,4,1,8,7,6,5]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[3,2,4,1,7,8,6,5]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[3,2,4,1,6,8,7,5]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5]=>[1,3,4,2,5,7,8,6]=>[1,4,3,2,5,8,7,6]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[3,2,4,1,6,7,8,5]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[2,3,4,1,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[2,3,4,1,7,8,6,5]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[2,3,4,1,6,8,7,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[2,3,4,1,7,6,8,5]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[2,3,4,1,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[1,4,3,2,8,7,6,5]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[1,4,3,2,7,6,8,5]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,7,6]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[1,4,3,2,6,7,8,5]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[1,3,4,2,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[1,3,4,2,7,8,6,5]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[1,3,4,2,6,8,7,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[1,3,4,2,7,6,8,5]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[1,3,4,2,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[2,1,4,3,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[1,2,4,3,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[1,2,4,3,7,8,6,5]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[1,2,4,3,6,8,7,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[1,2,4,3,7,6,8,5]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[1,2,4,3,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[3,2,1,4,8,7,6,5]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[3,2,1,4,7,8,6,5]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[3,2,1,4,7,6,8,5]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,7,6]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[3,2,1,4,6,7,8,5]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[2,3,1,4,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[2,3,1,4,7,8,6,5]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[2,3,1,4,7,6,8,5]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[2,3,1,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[1,3,2,4,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[1,3,2,4,6,8,7,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[1,3,2,4,7,6,8,5]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[1,3,2,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[2,1,3,4,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[2,1,3,4,7,6,8,5]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[2,1,3,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,8,6,7]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[1,2,3,4,7,8,6,5]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[5,4,3,2,1,8,7,6]=>[1,5,2,4,3,6,8,7]=>[1,5,4,2,3,6,8,7]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[5,4,3,2,1,7,8,6]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[4,5,3,2,1,8,7,6]=>[1,4,2,5,3,6,8,7]=>[1,4,5,2,3,6,8,7]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[3,5,4,2,1,8,7,6]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[3,5,4,2,1,7,8,6]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[4,3,5,2,1,8,7,6]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[3,4,5,2,1,8,7,6]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[3,4,5,2,1,7,8,6]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[2,4,5,3,1,8,7,6]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[1,3,5,2,4,6,8,7]=>[1,5,3,2,4,6,8,7]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[3,2,5,4,1,7,8,6]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[3,4,2,5,1,7,8,6]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>[3,2,4,5,1,8,7,6]=>[1,3,4,5,2,6,8,7]=>[1,5,3,4,2,6,8,7]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[2,3,4,5,1,8,7,6]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[1,3,5,4,2,7,8,6]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[1,3,4,5,2,8,7,6]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[1,3,4,5,2,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[1,2,5,4,3,7,8,6]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[1,2,4,5,3,8,7,6]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[1,2,4,5,3,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[1,3,2,5,4,8,7,6]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[1,3,2,5,4,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[2,1,3,5,4,8,7,6]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[1,2,3,5,4,8,7,6]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[1,2,3,5,4,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[4,3,2,1,5,8,7,6]=>[1,4,2,3,5,6,8,7]=>[1,4,2,3,5,6,8,7]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[4,3,2,1,5,7,8,6]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[3,2,4,1,5,8,7,6]=>[1,3,4,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[3,2,4,1,5,7,8,6]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[2,3,4,1,5,8,7,6]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[2,3,4,1,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[1,4,3,2,5,8,7,6]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[1,4,3,2,5,7,8,6]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[1,3,4,2,5,8,7,6]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[1,3,4,2,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[1,2,4,3,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[3,2,1,4,5,7,8,6]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[2,3,1,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[1,3,2,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[5,6,4,3,2,1,8,7]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[5,4,6,3,2,1,8,7]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[1,4,3,6,2,5,7,8]=>[1,6,4,3,2,5,7,8]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[3,6,5,4,2,1,8,7]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[4,3,6,5,2,1,8,7]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[5,4,3,6,2,1,8,7]=>[1,5,2,4,6,3,7,8]=>[1,5,6,2,4,3,7,8]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[4,5,3,6,2,1,8,7]=>[1,4,6,2,5,3,7,8]=>[1,6,5,4,2,3,7,8]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[3,4,5,6,2,1,8,7]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[2,3,6,5,4,1,8,7]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[2,3,5,6,4,1,8,7]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[2,4,3,6,5,1,8,7]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>[3,5,4,2,6,1,8,7]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[4,3,5,2,6,1,8,7]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[3,4,5,2,6,1,8,7]=>[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>[2,5,4,3,6,1,8,7]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>[2,4,5,3,6,1,8,7]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[3,2,5,4,6,1,8,7]=>[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[3,4,2,5,6,1,8,7]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,1,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[1,3,6,5,4,2,8,7]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[2,1,5,6,4,3,8,7]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,6,5,3,8,7]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[2,1,5,4,6,3,8,7]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[2,1,4,5,6,3,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[2,3,1,6,5,4,8,7]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[2,1,3,6,5,4,8,7]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[1,2,3,6,5,4,8,7]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[1,2,3,5,6,4,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[2,3,4,1,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[1,2,4,3,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[1,3,2,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[2,1,3,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[5,4,3,2,1,6,8,7]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[4,5,3,2,1,6,8,7]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>[3,5,4,2,1,6,8,7]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[2,4,5,3,1,6,8,7]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[3,2,5,4,1,6,8,7]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[1,3,5,4,2,6,8,7]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>[1,3,4,5,2,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[2,1,5,4,3,6,8,7]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[2,1,4,5,3,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[1,2,5,4,3,6,8,7]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[2,1,3,5,4,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[4,3,2,1,5,6,8,7]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[3,2,4,1,5,6,8,7]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[2,3,4,1,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[1,4,3,2,5,6,8,7]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[1,3,4,2,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[2,1,4,3,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[1,2,4,3,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[1,7,2,6,3,5,4,8]=>[1,7,6,5,3,2,4,8]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[1,6,2,7,3,5,4,8]=>[1,6,7,5,3,2,4,8]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[5,7,6,4,3,2,1,8]=>[1,5,3,6,2,7,4,8]=>[1,6,5,7,3,2,4,8]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[1,6,2,5,3,7,4,8]=>[1,6,5,7,2,3,4,8]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[1,5,3,7,2,6,4,8]=>[1,7,5,6,3,2,4,8]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>[4,6,7,5,3,2,1,8]=>[1,4,5,3,7,2,6,8]=>[1,7,5,4,3,2,6,8]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[4,5,7,6,3,2,1,8]=>[1,4,6,2,5,3,7,8]=>[1,6,5,4,2,3,7,8]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[1,4,7,2,5,3,6,8]=>[1,7,5,4,2,3,6,8]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[3,5,7,6,4,2,1,8]=>[1,3,7,2,5,4,6,8]=>[1,7,3,5,2,4,6,8]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[3,4,7,6,5,2,1,8]=>[1,3,7,2,4,6,5,8]=>[1,7,3,2,6,4,5,8]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[4,5,3,7,6,2,1,8]=>[1,4,7,2,5,6,3,8]=>[1,7,6,4,2,5,3,8]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[2,4,6,7,5,3,1,8]=>[1,2,4,7,3,6,5,8]=>[1,2,7,4,6,3,5,8]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[3,2,7,6,5,4,1,8]=>[1,3,7,2,4,6,5,8]=>[1,7,3,2,6,4,5,8]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[3,2,6,7,5,4,1,8]=>[1,3,6,4,7,2,5,8]=>[1,7,3,6,2,4,5,8]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[2,3,7,6,5,4,1,8]=>[1,2,3,7,4,6,5,8]=>[1,2,3,7,6,4,5,8]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[2,3,6,7,5,4,1,8]=>[1,2,3,6,4,7,5,8]=>[1,2,3,6,7,4,5,8]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[2,3,5,7,6,4,1,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[2,3,6,5,7,4,1,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]
[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[2,3,5,6,7,4,1,8]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[2,3,4,7,6,5,1,8]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[5,4,3,2,7,6,1,8]=>[1,5,7,2,4,3,6,8]=>[1,7,4,2,5,3,6,8]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[4,5,3,2,7,6,1,8]=>[1,4,2,5,7,3,6,8]=>[1,4,7,2,5,3,6,8]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[3,5,4,2,7,6,1,8]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,1,8]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[4,3,2,5,7,6,1,8]=>[1,4,5,7,2,3,6,8]=>[1,7,2,4,5,3,6,8]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>[5,4,6,3,2,7,1,8]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>[3,6,5,4,2,7,1,8]=>[1,3,5,2,6,7,4,8]=>[1,5,3,7,2,6,4,8]
[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[1,5,6,7,2,4,3,8]=>[1,7,4,2,5,6,3,8]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[3,5,4,2,6,7,1,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[1,3,5,7,6,4,2,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]
[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>[1,3,5,6,7,4,2,8]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[1,3,5,4,7,6,2,8]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>[1,3,6,5,4,7,2,8]=>[1,2,3,6,7,4,5,8]=>[1,2,3,7,4,6,5,8]
[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[1,3,4,5,6,7,2,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[2,1,5,6,7,4,3,8]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]
[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>[2,1,4,6,7,5,3,8]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[1,2,5,7,6,4,3,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]
[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[1,2,5,6,7,4,3,8]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]
[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[1,2,5,6,4,7,3,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[1,2,5,4,6,7,3,8]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[3,2,1,5,7,6,4,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[3,2,1,5,6,7,4,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>[2,3,1,6,7,5,4,8]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[2,3,1,6,5,7,4,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]
[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[2,3,1,5,6,7,4,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[1,3,2,5,7,6,4,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>[1,3,2,6,5,7,4,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]
[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[1,3,2,5,6,7,4,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>[2,1,3,6,7,5,4,8]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[1,2,3,7,6,5,4,8]=>[1,2,3,4,7,5,6,8]=>[1,2,3,4,7,5,6,8]
[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[1,2,3,6,7,5,4,8]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[1,2,3,5,7,6,4,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[1,2,3,6,5,7,4,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[1,2,3,5,6,7,4,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[4,3,2,1,7,6,5,8]=>[1,4,2,3,5,7,6,8]=>[1,4,2,3,5,7,6,8]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[4,3,2,1,6,7,5,8]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[3,2,4,1,7,6,5,8]=>[1,3,4,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>[3,2,4,1,6,7,5,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[2,3,4,1,7,6,5,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[2,3,4,1,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[1,4,3,2,6,7,5,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[1,3,4,2,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[2,1,4,3,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[1,2,4,3,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[3,2,1,4,7,6,5,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]
[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[2,3,1,4,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[1,3,2,4,7,6,5,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[1,2,3,4,7,6,5,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[5,4,3,2,1,7,6,8]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]=>[4,5,3,2,1,7,6,8]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>[3,5,4,2,1,7,6,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>[2,4,5,3,1,7,6,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[3,2,5,4,1,7,6,8]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]
[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>[3,4,2,5,1,7,6,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[1,3,5,4,2,7,6,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[1,3,4,5,2,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[3,2,1,5,4,7,6,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[2,3,1,5,4,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[1,3,2,5,4,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[1,2,3,5,4,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[4,3,2,1,5,7,6,8]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>[3,2,4,1,5,7,6,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[2,3,4,1,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[1,4,3,2,5,7,6,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[1,3,4,2,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[1,3,2,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>[5,6,4,3,2,1,7,8]=>[1,5,2,6,3,4,7,8]=>[1,5,6,3,2,4,7,8]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>[5,4,6,3,2,1,7,8]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[1,4,3,6,2,5,7,8]=>[1,6,4,3,2,5,7,8]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[3,6,5,4,2,1,7,8]=>[1,3,5,2,6,4,7,8]=>[1,5,3,6,2,4,7,8]
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]=>[4,3,6,5,2,1,7,8]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>[5,4,3,6,2,1,7,8]=>[1,5,2,4,6,3,7,8]=>[1,5,6,2,4,3,7,8]
[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]
[[[.,[[.,.],[[[.,.],.],.]]],.],.]=>[2,4,5,6,3,1,7,8]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[2,3,6,5,4,1,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.]=>[3,5,4,2,6,1,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>[1,4,5,6,3,2,7,8]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]
[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[1,3,5,6,4,2,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[1,4,3,6,5,2,7,8]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[1,5,4,3,6,2,7,8]=>[1,2,5,6,3,4,7,8]=>[1,2,6,3,5,4,7,8]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[2,1,5,6,4,3,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[2,1,4,6,5,3,7,8]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[1,2,6,5,4,3,7,8]=>[1,2,3,6,4,5,7,8]=>[1,2,3,6,4,5,7,8]
[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>[1,2,5,6,4,3,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[1,2,4,5,6,3,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[3,2,1,5,6,4,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>[2,3,1,6,5,4,7,8]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[1,3,2,5,6,4,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,.],.],.],[[.,.],.]],.],.]=>[1,2,3,5,6,4,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[4,3,2,1,6,5,7,8]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[3,2,4,1,6,5,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[2,3,4,1,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[2,1,4,3,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[1,2,4,3,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[1,3,2,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[2,1,3,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[1,5,2,4,3,6,7,8]=>[1,5,4,2,3,6,7,8]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[1,4,2,5,3,6,7,8]=>[1,4,5,2,3,6,7,8]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[3,5,4,2,1,6,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[2,4,5,3,1,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[3,2,5,4,1,6,7,8]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]
[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[2,3,5,4,1,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[1,4,5,2,3,6,7,8]=>[1,5,2,4,3,6,7,8]
[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[1,3,5,4,2,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[[[.,.],[[[.,.],.],.]],.],.],.]=>[1,3,4,5,2,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[1,3,2,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[1,2,3,5,4,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[2,4,3,1,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[1,4,3,2,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[1,3,4,2,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[2,1,4,3,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[1,2,4,3,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[1,3,2,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
cycle-as-one-line notation
Description
Return the permutation obtained by concatenating the cycles of a permutation, each written with minimal element first, sorted by minimal element.
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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