Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00067: Permutations —Foata bijection⟶ Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Mp00067: Permutations —Foata bijection⟶ Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1]
[.,[.,.]]=>[2,1]=>[2,1]=>[2,1]
[[.,.],.]=>[1,2]=>[1,2]=>[1,2]
[.,[.,[.,.]]]=>[3,2,1]=>[3,2,1]=>[2,3,1]
[.,[[.,.],.]]=>[2,3,1]=>[2,3,1]=>[3,2,1]
[[.,.],[.,.]]=>[3,1,2]=>[1,3,2]=>[1,3,2]
[[.,[.,.]],.]=>[2,1,3]=>[2,1,3]=>[2,1,3]
[[[.,.],.],.]=>[1,2,3]=>[1,2,3]=>[1,2,3]
[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1]=>[2,3,4,1]
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[3,4,2,1]=>[2,4,3,1]
[.,[[.,.],[.,.]]]=>[4,2,3,1]=>[2,4,3,1]=>[3,2,4,1]
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[3,2,4,1]=>[4,3,2,1]
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[2,3,4,1]=>[4,2,3,1]
[[.,.],[.,[.,.]]]=>[4,3,1,2]=>[1,4,3,2]=>[1,3,4,2]
[[.,.],[[.,.],.]]=>[3,4,1,2]=>[1,3,4,2]=>[1,4,3,2]
[[.,[.,.]],[.,.]]=>[4,2,1,3]=>[2,4,1,3]=>[4,2,1,3]
[[[.,.],.],[.,.]]=>[4,1,2,3]=>[1,2,4,3]=>[1,2,4,3]
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1,4]=>[2,3,1,4]
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[2,3,1,4]=>[3,2,1,4]
[[[.,.],[.,.]],.]=>[3,1,2,4]=>[1,3,2,4]=>[1,3,2,4]
[[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4]
[[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1]
[.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1]
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1]
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1]
[.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1]
[.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1]
[.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[3,5,2,4,1]=>[4,5,3,2,1]
[.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1]
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1]
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1]
[.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1]
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1]
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1]
[[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[1,5,4,3,2]=>[1,3,4,5,2]
[[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[1,4,5,3,2]=>[1,3,5,4,2]
[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[1,3,5,4,2]=>[1,4,3,5,2]
[[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[1,4,3,5,2]=>[1,5,4,3,2]
[[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[1,3,4,5,2]=>[1,5,3,4,2]
[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[2,5,4,1,3]=>[4,2,1,5,3]
[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[2,4,5,1,3]=>[5,2,1,4,3]
[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[1,2,4,5,3]
[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[1,2,4,5,3]=>[1,2,5,4,3]
[[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[3,5,2,1,4]=>[2,5,3,1,4]
[[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[2,3,5,1,4]=>[5,2,3,1,4]
[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[1,3,5,2,4]=>[1,5,3,2,4]
[[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[2,1,5,3,4]=>[2,1,5,3,4]
[[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[1,2,3,5,4]=>[1,2,3,5,4]
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5]
[[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[2,4,3,1,5]=>[3,2,4,1,5]
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5]
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5]
[[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5]
[[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[1,3,4,2,5]=>[1,4,3,2,5]
[[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[4,2,1,3,5]
[[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5]
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5]
[[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1]
[.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1]
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1]
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1]
[.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1]
[.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[3,5,6,4,2,1]=>[2,4,3,6,5,1]
[.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[4,6,3,5,2,1]=>[2,5,6,4,3,1]
[.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[3,4,6,5,2,1]=>[2,5,3,4,6,1]
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1]
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1]
[.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[3,5,4,6,2,1]=>[2,6,3,5,4,1]
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[2,6,4,3,5,1]
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[2,6,3,4,5,1]
[.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1]
[.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[2,5,6,4,3,1]=>[3,2,4,6,5,1]
[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[2,4,6,5,3,1]=>[3,2,5,4,6,1]
[.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[2,5,4,6,3,1]=>[3,2,6,5,4,1]
[.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[2,4,5,6,3,1]=>[3,2,6,4,5,1]
[.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[3,6,5,2,4,1]=>[4,5,3,2,6,1]
[.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[3,5,6,2,4,1]=>[4,6,3,2,5,1]
[.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[2,3,6,5,4,1]=>[4,2,3,5,6,1]
[.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[2,3,5,6,4,1]=>[4,2,3,6,5,1]
[.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[4,6,3,2,5,1]=>[5,3,6,4,2,1]
[.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[3,4,6,2,5,1]=>[5,6,3,4,2,1]
[.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[2,4,6,3,5,1]=>[5,2,6,4,3,1]
[.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[3,2,6,4,5,1]=>[5,3,2,6,4,1]
[.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[2,3,4,6,5,1]=>[5,2,3,4,6,1]
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1]
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1]
[.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[3,5,4,2,6,1]=>[6,4,3,5,2,1]
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1]
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1]
[.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[2,5,4,3,6,1]=>[6,2,4,5,3,1]
[.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[2,4,5,3,6,1]=>[6,2,5,4,3,1]
[.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[3,5,2,4,6,1]=>[6,5,3,2,4,1]
[.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[2,3,5,4,6,1]=>[6,2,3,5,4,1]
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[6,3,4,2,5,1]
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1]
[.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[2,4,3,5,6,1]=>[6,2,4,3,5,1]
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1]
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]
[[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2]
[[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2]
[[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2]
[[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2]
[[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2]
[[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2]
[[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2]
[[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[1,4,6,3,5,2]=>[1,5,6,4,3,2]
[[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2]
[[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2]
[[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2]
[[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2]
[[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2]
[[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2]
[[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[2,6,5,4,1,3]=>[4,2,1,5,6,3]
[[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[2,5,6,4,1,3]=>[4,2,1,6,5,3]
[[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[2,4,6,5,1,3]=>[5,2,1,4,6,3]
[[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[2,5,4,6,1,3]=>[6,2,1,5,4,3]
[[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3]
[[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3]
[[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3]
[[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3]
[[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3]
[[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3]
[[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[3,6,5,2,1,4]=>[2,5,3,1,6,4]
[[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[3,5,6,2,1,4]=>[2,6,3,1,5,4]
[[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[2,3,6,5,1,4]=>[5,2,3,1,6,4]
[[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4]
[[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[1,3,6,5,2,4]=>[1,5,3,2,6,4]
[[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[1,3,5,6,2,4]=>[1,6,3,2,5,4]
[[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[2,1,6,5,3,4]=>[2,1,5,3,6,4]
[[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[2,1,5,6,3,4]=>[2,1,6,3,5,4]
[[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4]
[[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4]
[[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[4,6,3,2,1,5]=>[2,3,6,4,1,5]
[[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[3,4,6,2,1,5]=>[2,6,3,4,1,5]
[[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[2,4,6,3,1,5]=>[3,2,6,4,1,5]
[[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[3,2,6,4,1,5]=>[4,3,2,6,1,5]
[[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5]
[[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[1,4,6,3,2,5]=>[1,3,6,4,2,5]
[[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[1,3,4,6,2,5]=>[1,6,3,4,2,5]
[[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5]
[[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[1,2,4,6,3,5]=>[1,2,6,4,3,5]
[[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[3,2,6,1,4,5]=>[6,3,2,1,4,5]
[[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[2,3,1,6,4,5]=>[3,2,1,6,4,5]
[[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5]
[[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[2,1,3,6,4,5]=>[2,1,3,6,4,5]
[[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[2,3,5,4,1,6]
[[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[3,5,4,2,1,6]=>[2,4,3,5,1,6]
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[4,3,5,2,1,6]=>[2,5,4,3,1,6]
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[3,4,5,2,1,6]=>[2,5,3,4,1,6]
[[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[2,5,4,3,1,6]=>[3,2,4,5,1,6]
[[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[2,4,5,3,1,6]=>[3,2,5,4,1,6]
[[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[3,5,2,4,1,6]=>[4,5,3,2,1,6]
[[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[2,3,5,4,1,6]=>[4,2,3,5,1,6]
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[4,3,2,5,1,6]=>[5,3,4,2,1,6]
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6]
[[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[2,4,3,5,1,6]=>[5,2,4,3,1,6]
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6]
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]
[[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6]
[[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6]
[[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6]
[[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6]
[[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6]
[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[2,5,4,1,3,6]=>[4,2,1,5,3,6]
[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6]
[[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6]
[[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6]
[[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[3,5,2,1,4,6]=>[2,5,3,1,4,6]
[[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6]
[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[1,3,5,2,4,6]=>[1,5,3,2,4,6]
[[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[2,1,5,3,4,6]=>[2,1,5,3,4,6]
[[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[3,4,2,1,5,6]=>[2,4,3,1,5,6]
[[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[2,4,3,1,5,6]=>[3,2,4,1,5,6]
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6]
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]
[[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6]
[[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6]
[[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6]
[[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]
[[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[2,3,4,6,5,7,1]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[2,3,4,7,6,5,1]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[4,6,7,5,3,2,1]=>[2,3,5,4,7,6,1]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[5,7,4,6,3,2,1]=>[2,3,6,7,5,4,1]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[4,5,7,6,3,2,1]=>[2,3,6,4,5,7,1]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]=>[2,3,7,5,6,4,1]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[5,6,4,7,3,2,1]=>[2,3,7,6,5,4,1]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[4,6,5,7,3,2,1]=>[2,3,7,4,6,5,1]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[5,4,6,7,3,2,1]=>[2,3,7,5,4,6,1]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[3,7,6,5,4,2,1]=>[2,4,3,5,6,7,1]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[3,6,7,5,4,2,1]=>[2,4,3,5,7,6,1]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[3,5,7,6,4,2,1]=>[2,4,3,6,5,7,1]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[3,6,5,7,4,2,1]=>[2,4,3,7,6,5,1]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[3,5,6,7,4,2,1]=>[2,4,3,7,5,6,1]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[4,7,6,3,5,2,1]=>[2,5,6,4,3,7,1]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[4,6,7,3,5,2,1]=>[2,5,7,4,3,6,1]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>[2,5,3,4,6,7,1]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[3,4,6,7,5,2,1]=>[2,5,3,4,7,6,1]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[2,6,4,7,5,3,1]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[4,5,7,3,6,2,1]=>[2,6,7,4,5,3,1]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[3,5,7,4,6,2,1]=>[2,6,3,7,5,4,1]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[4,3,7,5,6,2,1]=>[2,6,4,3,7,5,1]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[3,4,5,7,6,2,1]=>[2,6,3,4,5,7,1]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[2,7,4,5,6,3,1]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[5,6,4,3,7,2,1]=>[2,7,4,6,5,3,1]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[4,6,5,3,7,2,1]=>[2,7,5,4,6,3,1]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[5,4,6,3,7,2,1]=>[2,7,6,5,4,3,1]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[4,5,6,3,7,2,1]=>[2,7,6,4,5,3,1]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[3,6,5,4,7,2,1]=>[2,7,3,5,6,4,1]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[3,5,6,4,7,2,1]=>[2,7,3,6,5,4,1]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[4,6,3,5,7,2,1]=>[2,7,6,4,3,5,1]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[3,4,6,5,7,2,1]=>[2,7,3,4,6,5,1]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]=>[2,7,4,5,3,6,1]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[4,5,3,6,7,2,1]=>[2,7,5,4,3,6,1]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[3,5,4,6,7,2,1]=>[2,7,3,5,4,6,1]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[4,3,5,6,7,2,1]=>[2,7,4,3,5,6,1]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[3,4,5,6,7,2,1]=>[2,7,3,4,5,6,1]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[2,6,7,5,4,3,1]=>[3,2,4,5,7,6,1]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[2,5,7,6,4,3,1]=>[3,2,4,6,5,7,1]
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[2,6,5,7,4,3,1]=>[3,2,4,7,6,5,1]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[2,5,6,7,4,3,1]=>[3,2,4,7,5,6,1]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[2,4,7,6,5,3,1]=>[3,2,5,4,6,7,1]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[2,4,6,7,5,3,1]=>[3,2,5,4,7,6,1]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[2,5,7,4,6,3,1]=>[3,2,6,7,5,4,1]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[2,4,5,7,6,3,1]=>[3,2,6,4,5,7,1]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[2,6,5,4,7,3,1]=>[3,2,7,5,6,4,1]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[2,5,6,4,7,3,1]=>[3,2,7,6,5,4,1]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[2,4,6,5,7,3,1]=>[3,2,7,4,6,5,1]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[2,5,4,6,7,3,1]=>[3,2,7,5,4,6,1]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[2,4,5,6,7,3,1]=>[3,2,7,4,5,6,1]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[3,7,6,5,2,4,1]=>[4,5,3,2,6,7,1]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[3,6,7,5,2,4,1]=>[4,5,3,2,7,6,1]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[3,5,7,6,2,4,1]=>[4,6,3,2,5,7,1]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[3,6,5,7,2,4,1]=>[4,7,3,2,6,5,1]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[3,5,6,7,2,4,1]=>[4,7,3,2,5,6,1]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[2,3,7,6,5,4,1]=>[4,2,3,5,6,7,1]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[2,3,6,7,5,4,1]=>[4,2,3,5,7,6,1]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[2,3,5,7,6,4,1]=>[4,2,3,6,5,7,1]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[2,3,6,5,7,4,1]=>[4,2,3,7,6,5,1]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[2,3,5,6,7,4,1]=>[4,2,3,7,5,6,1]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[4,7,6,3,2,5,1]=>[5,3,6,4,2,7,1]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[4,6,7,3,2,5,1]=>[5,3,7,4,2,6,1]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[3,4,7,6,2,5,1]=>[5,6,3,4,2,7,1]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[3,4,6,7,2,5,1]=>[5,7,3,4,2,6,1]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[2,4,7,6,3,5,1]=>[5,2,6,4,3,7,1]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[2,4,6,7,3,5,1]=>[5,2,7,4,3,6,1]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[3,2,7,6,4,5,1]=>[5,3,2,6,4,7,1]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[3,2,6,7,4,5,1]=>[5,3,2,7,4,6,1]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[2,3,4,7,6,5,1]=>[5,2,3,4,6,7,1]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[2,3,4,6,7,5,1]=>[5,2,3,4,7,6,1]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[5,7,4,3,2,6,1]=>[6,3,4,7,5,2,1]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[4,5,7,3,2,6,1]=>[6,3,7,4,5,2,1]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[3,5,7,4,2,6,1]=>[6,4,3,7,5,2,1]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[4,3,7,5,2,6,1]=>[6,5,4,3,7,2,1]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[3,4,5,7,2,6,1]=>[6,7,3,4,5,2,1]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[2,5,7,4,3,6,1]=>[6,2,4,7,5,3,1]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[2,4,5,7,3,6,1]=>[6,2,7,4,5,3,1]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[3,5,7,2,4,6,1]=>[6,7,3,2,5,4,1]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[2,3,5,7,4,6,1]=>[6,2,3,7,5,4,1]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[4,3,7,2,5,6,1]=>[6,7,4,3,2,5,1]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[3,4,2,7,5,6,1]=>[6,4,3,2,7,5,1]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[2,4,3,7,5,6,1]=>[6,2,4,3,7,5,1]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[3,2,4,7,5,6,1]=>[6,3,2,4,7,5,1]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[2,3,4,5,7,6,1]=>[6,2,3,4,5,7,1]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>[7,3,4,5,6,2,1]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[5,6,4,3,2,7,1]=>[7,3,4,6,5,2,1]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[4,6,5,3,2,7,1]=>[7,3,5,4,6,2,1]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[5,4,6,3,2,7,1]=>[7,3,6,5,4,2,1]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[4,5,6,3,2,7,1]=>[7,3,6,4,5,2,1]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[3,6,5,4,2,7,1]=>[7,4,3,5,6,2,1]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[3,5,6,4,2,7,1]=>[7,4,3,6,5,2,1]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[4,6,3,5,2,7,1]=>[7,5,6,4,3,2,1]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[3,4,6,5,2,7,1]=>[7,5,3,4,6,2,1]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[5,4,3,6,2,7,1]=>[7,6,4,5,3,2,1]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[2,6,5,4,3,7,1]=>[7,2,4,5,6,3,1]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[2,5,6,4,3,7,1]=>[7,2,4,6,5,3,1]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[2,4,6,5,3,7,1]=>[7,2,5,4,6,3,1]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[3,6,5,2,4,7,1]=>[7,5,3,2,6,4,1]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[3,5,6,2,4,7,1]=>[7,6,3,2,5,4,1]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[2,3,6,5,4,7,1]=>[7,2,3,5,6,4,1]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[4,6,3,2,5,7,1]=>[7,3,6,4,2,5,1]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[3,4,6,2,5,7,1]=>[7,6,3,4,2,5,1]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[2,4,6,3,5,7,1]=>[7,2,6,4,3,5,1]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[3,2,6,4,5,7,1]=>[7,3,2,6,4,5,1]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[2,3,4,6,5,7,1]=>[7,2,3,4,6,5,1]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[4,5,3,2,6,7,1]=>[7,3,5,4,2,6,1]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[3,5,4,2,6,7,1]=>[7,4,3,5,2,6,1]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[2,5,4,3,6,7,1]=>[7,2,4,5,3,6,1]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[3,5,2,4,6,7,1]=>[7,5,3,2,4,6,1]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[2,3,5,4,6,7,1]=>[7,2,3,5,4,6,1]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[4,3,2,5,6,7,1]=>[7,3,4,2,5,6,1]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[2,4,3,5,6,7,1]=>[7,2,4,3,5,6,1]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1]
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[1,6,7,5,4,3,2]=>[1,3,4,5,7,6,2]
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[1,5,7,6,4,3,2]=>[1,3,4,6,5,7,2]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[1,6,5,7,4,3,2]=>[1,3,4,7,6,5,2]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[1,5,6,7,4,3,2]=>[1,3,4,7,5,6,2]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[1,4,7,6,5,3,2]=>[1,3,5,4,6,7,2]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[1,4,6,7,5,3,2]=>[1,3,5,4,7,6,2]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[1,5,7,4,6,3,2]=>[1,3,6,7,5,4,2]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[1,4,5,7,6,3,2]=>[1,3,6,4,5,7,2]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[1,6,5,4,7,3,2]=>[1,3,7,5,6,4,2]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[1,5,6,4,7,3,2]=>[1,3,7,6,5,4,2]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[1,4,6,5,7,3,2]=>[1,3,7,4,6,5,2]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[1,5,4,6,7,3,2]=>[1,3,7,5,4,6,2]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[1,4,5,6,7,3,2]=>[1,3,7,4,5,6,2]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[1,3,7,6,5,4,2]=>[1,4,3,5,6,7,2]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[1,3,6,7,5,4,2]=>[1,4,3,5,7,6,2]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[1,3,6,5,7,4,2]=>[1,4,3,7,6,5,2]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[1,3,5,6,7,4,2]=>[1,4,3,7,5,6,2]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[1,4,7,6,3,5,2]=>[1,5,6,4,3,7,2]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[1,4,6,7,3,5,2]=>[1,5,7,4,3,6,2]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[1,3,4,7,6,5,2]=>[1,5,3,4,6,7,2]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[1,3,4,6,7,5,2]=>[1,5,3,4,7,6,2]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[1,5,7,4,3,6,2]=>[1,6,4,7,5,3,2]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[1,4,5,7,3,6,2]=>[1,6,7,4,5,3,2]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[1,3,5,7,4,6,2]=>[1,6,3,7,5,4,2]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[1,4,3,7,5,6,2]=>[1,6,4,3,7,5,2]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[1,3,4,5,7,6,2]=>[1,6,3,4,5,7,2]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[1,6,5,4,3,7,2]=>[1,7,4,5,6,3,2]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[1,5,6,4,3,7,2]=>[1,7,4,6,5,3,2]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[1,4,6,5,3,7,2]=>[1,7,5,4,6,3,2]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[1,5,4,6,3,7,2]=>[1,7,6,5,4,3,2]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[1,4,5,6,3,7,2]=>[1,7,6,4,5,3,2]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[1,3,6,5,4,7,2]=>[1,7,3,5,6,4,2]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[1,3,5,6,4,7,2]=>[1,7,3,6,5,4,2]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[1,4,6,3,5,7,2]=>[1,7,6,4,3,5,2]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[1,3,4,6,5,7,2]=>[1,7,3,4,6,5,2]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[1,5,4,3,6,7,2]=>[1,7,4,5,3,6,2]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[1,4,5,3,6,7,2]=>[1,7,5,4,3,6,2]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[1,3,5,4,6,7,2]=>[1,7,3,5,4,6,2]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[1,4,3,5,6,7,2]=>[1,7,4,3,5,6,2]
[[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[1,3,4,5,6,7,2]=>[1,7,3,4,5,6,2]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[2,7,6,5,4,1,3]=>[4,2,1,5,6,7,3]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[2,6,7,5,4,1,3]=>[4,2,1,5,7,6,3]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[2,5,7,6,4,1,3]=>[4,2,1,6,5,7,3]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[2,6,5,7,4,1,3]=>[4,2,1,7,6,5,3]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[2,5,6,7,4,1,3]=>[4,2,1,7,5,6,3]
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[2,4,7,6,5,1,3]=>[5,2,1,4,6,7,3]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[2,4,6,7,5,1,3]=>[5,2,1,4,7,6,3]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[2,5,7,4,6,1,3]=>[6,2,1,7,5,4,3]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[2,4,5,7,6,1,3]=>[6,2,1,4,5,7,3]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[2,6,5,4,7,1,3]=>[7,2,1,5,6,4,3]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[2,5,6,4,7,1,3]=>[7,2,1,6,5,4,3]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[2,4,6,5,7,1,3]=>[7,2,1,4,6,5,3]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[2,5,4,6,7,1,3]=>[7,2,1,5,4,6,3]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[2,4,5,6,7,1,3]=>[7,2,1,4,5,6,3]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[1,2,6,7,5,4,3]=>[1,2,4,5,7,6,3]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[1,2,5,7,6,4,3]=>[1,2,4,6,5,7,3]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[1,2,6,5,7,4,3]=>[1,2,4,7,6,5,3]
[[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[1,2,4,6,7,5,3]=>[1,2,5,4,7,6,3]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[1,2,5,7,4,6,3]=>[1,2,6,7,5,4,3]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[1,2,4,5,7,6,3]=>[1,2,6,4,5,7,3]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[1,2,6,5,4,7,3]=>[1,2,7,5,6,4,3]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[1,2,5,6,4,7,3]=>[1,2,7,6,5,4,3]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[1,2,4,6,5,7,3]=>[1,2,7,4,6,5,3]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[1,2,5,4,6,7,3]=>[1,2,7,5,4,6,3]
[[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[1,2,4,5,6,7,3]=>[1,2,7,4,5,6,3]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[3,7,6,5,2,1,4]=>[2,5,3,1,6,7,4]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[3,6,7,5,2,1,4]=>[2,5,3,1,7,6,4]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[3,5,7,6,2,1,4]=>[2,6,3,1,5,7,4]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[3,6,5,7,2,1,4]=>[2,7,3,1,6,5,4]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[3,5,6,7,2,1,4]=>[2,7,3,1,5,6,4]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[2,3,7,6,5,1,4]=>[5,2,3,1,6,7,4]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[2,3,6,7,5,1,4]=>[5,2,3,1,7,6,4]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[2,3,5,7,6,1,4]=>[6,2,3,1,5,7,4]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[2,3,6,5,7,1,4]=>[7,2,3,1,6,5,4]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[2,3,5,6,7,1,4]=>[7,2,3,1,5,6,4]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[1,3,7,6,5,2,4]=>[1,5,3,2,6,7,4]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[1,3,6,7,5,2,4]=>[1,5,3,2,7,6,4]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[1,3,5,7,6,2,4]=>[1,6,3,2,5,7,4]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[1,3,6,5,7,2,4]=>[1,7,3,2,6,5,4]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[1,3,5,6,7,2,4]=>[1,7,3,2,5,6,4]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[2,1,7,6,5,3,4]=>[2,1,5,3,6,7,4]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[2,1,6,7,5,3,4]=>[2,1,5,3,7,6,4]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[2,1,5,7,6,3,4]=>[2,1,6,3,5,7,4]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[2,1,6,5,7,3,4]=>[2,1,7,3,6,5,4]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[2,1,5,6,7,3,4]=>[2,1,7,3,5,6,4]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4]
[[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[4,7,6,3,2,1,5]=>[2,3,6,4,1,7,5]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[4,6,7,3,2,1,5]=>[2,3,7,4,1,6,5]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[3,4,7,6,2,1,5]=>[2,6,3,4,1,7,5]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[3,4,6,7,2,1,5]=>[2,7,3,4,1,6,5]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[2,4,7,6,3,1,5]=>[3,2,6,4,1,7,5]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[2,4,6,7,3,1,5]=>[3,2,7,4,1,6,5]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[3,2,7,6,4,1,5]=>[4,3,2,6,1,7,5]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[3,2,6,7,4,1,5]=>[4,3,2,7,1,6,5]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[2,3,4,7,6,1,5]=>[6,2,3,4,1,7,5]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[2,3,4,6,7,1,5]=>[7,2,3,4,1,6,5]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[1,4,7,6,3,2,5]=>[1,3,6,4,2,7,5]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[1,4,6,7,3,2,5]=>[1,3,7,4,2,6,5]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[1,3,4,7,6,2,5]=>[1,6,3,4,2,7,5]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[1,3,4,6,7,2,5]=>[1,7,3,4,2,6,5]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[2,4,7,6,1,3,5]=>[6,2,1,4,3,7,5]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[2,4,6,7,1,3,5]=>[7,2,1,4,3,6,5]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,3,5]=>[1,2,6,4,3,7,5]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[1,2,4,6,7,3,5]=>[1,2,7,4,3,6,5]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[3,2,7,6,1,4,5]=>[6,3,2,1,4,7,5]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[3,2,6,7,1,4,5]=>[7,3,2,1,4,6,5]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[2,3,1,7,6,4,5]=>[3,2,1,6,4,7,5]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[2,3,1,6,7,4,5]=>[3,2,1,7,4,6,5]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[1,3,2,6,7,4,5]=>[1,3,2,7,4,6,5]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[2,1,3,7,6,4,5]=>[2,1,3,6,4,7,5]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[2,1,3,6,7,4,5]=>[2,1,3,7,4,6,5]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5]
[[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>[2,3,4,7,5,1,6]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[4,5,7,3,2,1,6]=>[2,3,7,4,5,1,6]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[3,5,7,4,2,1,6]=>[2,4,3,7,5,1,6]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[4,3,7,5,2,1,6]=>[2,5,4,3,7,1,6]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[3,4,5,7,2,1,6]=>[2,7,3,4,5,1,6]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[2,5,7,4,3,1,6]=>[3,2,4,7,5,1,6]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[2,4,5,7,3,1,6]=>[3,2,7,4,5,1,6]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[3,5,7,2,4,1,6]=>[4,7,3,2,5,1,6]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[2,3,5,7,4,1,6]=>[4,2,3,7,5,1,6]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[4,3,7,2,5,1,6]=>[5,7,4,3,2,1,6]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[3,4,2,7,5,1,6]=>[5,4,3,2,7,1,6]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[2,4,3,7,5,1,6]=>[5,2,4,3,7,1,6]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[3,2,4,7,5,1,6]=>[5,3,2,4,7,1,6]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[1,5,7,4,3,2,6]=>[1,3,4,7,5,2,6]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[1,4,5,7,3,2,6]=>[1,3,7,4,5,2,6]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[1,3,5,7,4,2,6]=>[1,4,3,7,5,2,6]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[1,4,3,7,5,2,6]=>[1,5,4,3,7,2,6]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[1,3,4,5,7,2,6]=>[1,7,3,4,5,2,6]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[2,5,7,4,1,3,6]=>[4,2,1,7,5,3,6]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[2,4,5,7,1,3,6]=>[7,2,1,4,5,3,6]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[1,2,5,7,4,3,6]=>[1,2,4,7,5,3,6]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[1,2,4,5,7,3,6]=>[1,2,7,4,5,3,6]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[3,5,7,2,1,4,6]=>[2,7,3,1,5,4,6]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[2,3,5,7,1,4,6]=>[7,2,3,1,5,4,6]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[1,3,5,7,2,4,6]=>[1,7,3,2,5,4,6]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[2,1,5,7,3,4,6]=>[2,1,7,3,5,4,6]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6]=>[1,2,3,7,5,4,6]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[4,3,7,2,1,5,6]=>[2,7,4,3,1,5,6]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[3,4,2,7,1,5,6]=>[7,4,3,2,1,5,6]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[2,4,3,7,1,5,6]=>[7,2,4,3,1,5,6]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[3,2,4,7,1,5,6]=>[7,3,2,4,1,5,6]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[2,3,4,1,7,5,6]=>[4,2,3,1,7,5,6]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[1,4,3,7,2,5,6]=>[1,7,4,3,2,5,6]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[1,3,4,2,7,5,6]=>[1,4,3,2,7,5,6]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]=>[4,2,7,1,3,5,6]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[3,2,1,7,4,5,6]=>[2,3,1,7,4,5,6]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[2,3,1,4,7,5,6]=>[3,2,1,4,7,5,6]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6]
[[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[4,6,5,3,2,1,7]=>[2,3,5,4,6,1,7]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[5,4,6,3,2,1,7]=>[2,3,6,5,4,1,7]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>[2,4,3,5,6,1,7]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[3,5,6,4,2,1,7]=>[2,4,3,6,5,1,7]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[4,6,3,5,2,1,7]=>[2,5,6,4,3,1,7]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[3,4,6,5,2,1,7]=>[2,5,3,4,6,1,7]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[3,5,4,6,2,1,7]=>[2,6,3,5,4,1,7]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[4,3,5,6,2,1,7]=>[2,6,4,3,5,1,7]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[2,6,5,4,3,1,7]=>[3,2,4,5,6,1,7]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[2,5,6,4,3,1,7]=>[3,2,4,6,5,1,7]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[2,4,6,5,3,1,7]=>[3,2,5,4,6,1,7]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[2,5,4,6,3,1,7]=>[3,2,6,5,4,1,7]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[2,4,5,6,3,1,7]=>[3,2,6,4,5,1,7]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[3,6,5,2,4,1,7]=>[4,5,3,2,6,1,7]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[3,5,6,2,4,1,7]=>[4,6,3,2,5,1,7]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[2,3,6,5,4,1,7]=>[4,2,3,5,6,1,7]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[2,3,5,6,4,1,7]=>[4,2,3,6,5,1,7]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[4,6,3,2,5,1,7]=>[5,3,6,4,2,1,7]
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[3,4,6,2,5,1,7]=>[5,6,3,4,2,1,7]
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[2,4,6,3,5,1,7]=>[5,2,6,4,3,1,7]
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[3,2,6,4,5,1,7]=>[5,3,2,6,4,1,7]
[[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[2,3,4,6,5,1,7]=>[5,2,3,4,6,1,7]
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7]
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7]
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[3,5,4,2,6,1,7]=>[6,4,3,5,2,1,7]
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7]
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7]
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[2,5,4,3,6,1,7]=>[6,2,4,5,3,1,7]
[[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7]
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[3,5,2,4,6,1,7]=>[6,5,3,2,4,1,7]
[[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[2,3,5,4,6,1,7]=>[6,2,3,5,4,1,7]
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[4,3,2,5,6,1,7]=>[6,3,4,2,5,1,7]
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7]
[[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[6,2,4,3,5,1,7]
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7]
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[1,5,6,4,3,2,7]=>[1,3,4,6,5,2,7]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[1,4,6,5,3,2,7]=>[1,3,5,4,6,2,7]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[1,5,4,6,3,2,7]=>[1,3,6,5,4,2,7]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[1,4,5,6,3,2,7]=>[1,3,6,4,5,2,7]
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[1,3,6,5,4,2,7]=>[1,4,3,5,6,2,7]
[[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[1,3,5,6,4,2,7]=>[1,4,3,6,5,2,7]
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[1,4,6,3,5,2,7]=>[1,5,6,4,3,2,7]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[1,3,4,6,5,2,7]=>[1,5,3,4,6,2,7]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[1,5,4,3,6,2,7]=>[1,6,4,5,3,2,7]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[1,4,5,3,6,2,7]=>[1,6,5,4,3,2,7]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[1,3,5,4,6,2,7]=>[1,6,3,5,4,2,7]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[1,4,3,5,6,2,7]=>[1,6,4,3,5,2,7]
[[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[1,3,4,5,6,2,7]=>[1,6,3,4,5,2,7]
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[2,6,5,4,1,3,7]=>[4,2,1,5,6,3,7]
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[2,5,6,4,1,3,7]=>[4,2,1,6,5,3,7]
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[2,4,6,5,1,3,7]=>[5,2,1,4,6,3,7]
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[2,5,4,6,1,3,7]=>[6,2,1,5,4,3,7]
[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[2,4,5,6,1,3,7]=>[6,2,1,4,5,3,7]
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7]
[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[1,2,5,6,4,3,7]=>[1,2,4,6,5,3,7]
[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[1,2,4,6,5,3,7]=>[1,2,5,4,6,3,7]
[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[1,2,5,4,6,3,7]=>[1,2,6,5,4,3,7]
[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[1,2,4,5,6,3,7]=>[1,2,6,4,5,3,7]
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[3,6,5,2,1,4,7]=>[2,5,3,1,6,4,7]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[3,5,6,2,1,4,7]=>[2,6,3,1,5,4,7]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[2,3,6,5,1,4,7]=>[5,2,3,1,6,4,7]
[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[2,3,5,6,1,4,7]=>[6,2,3,1,5,4,7]
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[1,3,6,5,2,4,7]=>[1,5,3,2,6,4,7]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[1,3,5,6,2,4,7]=>[1,6,3,2,5,4,7]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[2,1,6,5,3,4,7]=>[2,1,5,3,6,4,7]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[2,1,5,6,3,4,7]=>[2,1,6,3,5,4,7]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7]
[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,6,5,4,7]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[4,6,3,2,1,5,7]=>[2,3,6,4,1,5,7]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[3,4,6,2,1,5,7]=>[2,6,3,4,1,5,7]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[2,4,6,3,1,5,7]=>[3,2,6,4,1,5,7]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[3,2,6,4,1,5,7]=>[4,3,2,6,1,5,7]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[2,3,4,6,1,5,7]=>[6,2,3,4,1,5,7]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[1,4,6,3,2,5,7]=>[1,3,6,4,2,5,7]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[1,3,4,6,2,5,7]=>[1,6,3,4,2,5,7]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[1,2,4,6,3,5,7]=>[1,2,6,4,3,5,7]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[3,2,6,1,4,5,7]=>[6,3,2,1,4,5,7]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[2,3,1,6,4,5,7]=>[3,2,1,6,4,5,7]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7]
[[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7]
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[3,5,4,2,1,6,7]=>[2,4,3,5,1,6,7]
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[4,3,5,2,1,6,7]=>[2,5,4,3,1,6,7]
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]=>[2,5,3,4,1,6,7]
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[2,5,4,3,1,6,7]=>[3,2,4,5,1,6,7]
[[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[2,4,5,3,1,6,7]=>[3,2,5,4,1,6,7]
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[3,5,2,4,1,6,7]=>[4,5,3,2,1,6,7]
[[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7]=>[4,2,3,5,1,6,7]
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[4,3,2,5,1,6,7]=>[5,3,4,2,1,6,7]
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7]
[[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[2,4,3,5,1,6,7]=>[5,2,4,3,1,6,7]
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7]
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7]
[[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[1,4,5,3,2,6,7]=>[1,3,5,4,2,6,7]
[[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[1,3,5,4,2,6,7]=>[1,4,3,5,2,6,7]
[[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[1,4,3,5,2,6,7]=>[1,5,4,3,2,6,7]
[[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[1,3,4,5,2,6,7]=>[1,5,3,4,2,6,7]
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[2,5,4,1,3,6,7]=>[4,2,1,5,3,6,7]
[[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[2,4,5,1,3,6,7]=>[5,2,1,4,3,6,7]
[[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7]
[[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,4,3,6,7]
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[3,5,2,1,4,6,7]=>[2,5,3,1,4,6,7]
[[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[2,3,5,1,4,6,7]=>[5,2,3,1,4,6,7]
[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,5,3,2,4,6,7]
[[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7]
[[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]
[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7]
[[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[2,4,3,1,5,6,7]=>[3,2,4,1,5,6,7]
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7]
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]
[[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7]
[[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[1,3,4,2,5,6,7]=>[1,4,3,2,5,6,7]
[[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7]
[[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]
[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7]
[[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[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]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,1]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[8,6,7,5,4,3,2,1]=>[6,8,7,5,4,3,2,1]=>[2,3,4,5,7,6,8,1]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[7,6,8,5,4,3,2,1]=>[2,3,4,5,8,7,6,1]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[6,7,8,5,4,3,2,1]=>[2,3,4,5,8,6,7,1]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[8,7,5,6,4,3,2,1]=>[5,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,1]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[7,8,5,6,4,3,2,1]=>[5,7,8,6,4,3,2,1]=>[2,3,4,6,5,8,7,1]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[8,6,5,7,4,3,2,1]=>[6,8,5,7,4,3,2,1]=>[2,3,4,7,8,6,5,1]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[8,5,6,7,4,3,2,1]=>[5,6,8,7,4,3,2,1]=>[2,3,4,7,5,6,8,1]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[7,6,5,8,4,3,2,1]=>[2,3,4,8,6,7,5,1]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[6,7,5,8,4,3,2,1]=>[2,3,4,8,7,6,5,1]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[7,5,6,8,4,3,2,1]=>[5,7,6,8,4,3,2,1]=>[2,3,4,8,5,7,6,1]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[6,5,7,8,4,3,2,1]=>[2,3,4,8,6,5,7,1]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[5,6,7,8,4,3,2,1]=>[2,3,4,8,5,6,7,1]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>[2,3,5,4,6,7,8,1]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[7,8,6,4,5,3,2,1]=>[4,7,8,6,5,3,2,1]=>[2,3,5,4,6,8,7,1]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[8,6,7,4,5,3,2,1]=>[4,6,8,7,5,3,2,1]=>[2,3,5,4,7,6,8,1]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[7,6,8,4,5,3,2,1]=>[4,7,6,8,5,3,2,1]=>[2,3,5,4,8,7,6,1]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[6,7,8,4,5,3,2,1]=>[4,6,7,8,5,3,2,1]=>[2,3,5,4,8,6,7,1]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[8,7,5,4,6,3,2,1]=>[5,8,7,4,6,3,2,1]=>[2,3,6,7,5,4,8,1]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[7,8,5,4,6,3,2,1]=>[5,7,8,4,6,3,2,1]=>[2,3,6,8,5,4,7,1]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[8,7,4,5,6,3,2,1]=>[4,5,8,7,6,3,2,1]=>[2,3,6,4,5,7,8,1]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[7,8,4,5,6,3,2,1]=>[4,5,7,8,6,3,2,1]=>[2,3,6,4,5,8,7,1]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[8,6,5,4,7,3,2,1]=>[6,8,5,4,7,3,2,1]=>[2,3,7,5,8,6,4,1]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[8,5,6,4,7,3,2,1]=>[5,6,8,4,7,3,2,1]=>[2,3,7,8,5,6,4,1]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[8,6,4,5,7,3,2,1]=>[4,6,8,5,7,3,2,1]=>[2,3,7,4,8,6,5,1]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>[8,5,4,6,7,3,2,1]=>[5,4,8,6,7,3,2,1]=>[2,3,7,5,4,8,6,1]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[8,4,5,6,7,3,2,1]=>[4,5,6,8,7,3,2,1]=>[2,3,7,4,5,6,8,1]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[7,6,5,4,8,3,2,1]=>[2,3,8,5,6,7,4,1]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[6,7,5,4,8,3,2,1]=>[2,3,8,5,7,6,4,1]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[7,5,6,4,8,3,2,1]=>[5,7,6,4,8,3,2,1]=>[2,3,8,6,5,7,4,1]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[6,5,7,4,8,3,2,1]=>[2,3,8,7,6,5,4,1]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[5,6,7,4,8,3,2,1]=>[2,3,8,7,5,6,4,1]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[7,6,4,5,8,3,2,1]=>[4,7,6,5,8,3,2,1]=>[2,3,8,4,6,7,5,1]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[6,7,4,5,8,3,2,1]=>[4,6,7,5,8,3,2,1]=>[2,3,8,4,7,6,5,1]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[7,5,4,6,8,3,2,1]=>[5,7,4,6,8,3,2,1]=>[2,3,8,7,5,4,6,1]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[7,4,5,6,8,3,2,1]=>[4,5,7,6,8,3,2,1]=>[2,3,8,4,5,7,6,1]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[6,5,4,7,8,3,2,1]=>[2,3,8,5,6,4,7,1]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[5,6,4,7,8,3,2,1]=>[2,3,8,6,5,4,7,1]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[6,4,5,7,8,3,2,1]=>[4,6,5,7,8,3,2,1]=>[2,3,8,4,6,5,7,1]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[5,4,6,7,8,3,2,1]=>[2,3,8,5,4,6,7,1]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[4,5,6,7,8,3,2,1]=>[2,3,8,4,5,6,7,1]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,3,4,2,1]=>[3,8,7,6,5,4,2,1]=>[2,4,3,5,6,7,8,1]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,3,4,2,1]=>[3,7,8,6,5,4,2,1]=>[2,4,3,5,6,8,7,1]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,3,4,2,1]=>[3,6,8,7,5,4,2,1]=>[2,4,3,5,7,6,8,1]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,3,4,2,1]=>[3,7,6,8,5,4,2,1]=>[2,4,3,5,8,7,6,1]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[6,7,8,5,3,4,2,1]=>[3,6,7,8,5,4,2,1]=>[2,4,3,5,8,6,7,1]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[3,5,8,7,6,4,2,1]=>[2,4,3,6,5,7,8,1]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[7,8,5,6,3,4,2,1]=>[3,5,7,8,6,4,2,1]=>[2,4,3,6,5,8,7,1]
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[8,6,5,7,3,4,2,1]=>[3,6,8,5,7,4,2,1]=>[2,4,3,7,8,6,5,1]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[8,5,6,7,3,4,2,1]=>[3,5,6,8,7,4,2,1]=>[2,4,3,7,5,6,8,1]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,3,4,2,1]=>[3,7,6,5,8,4,2,1]=>[2,4,3,8,6,7,5,1]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>[7,5,6,8,3,4,2,1]=>[3,5,7,6,8,4,2,1]=>[2,4,3,8,5,7,6,1]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>[6,5,7,8,3,4,2,1]=>[3,6,5,7,8,4,2,1]=>[2,4,3,8,6,5,7,1]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[3,5,6,7,8,4,2,1]=>[2,4,3,8,5,6,7,1]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[8,7,6,4,3,5,2,1]=>[4,8,7,6,3,5,2,1]=>[2,5,6,4,3,7,8,1]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[7,8,6,4,3,5,2,1]=>[4,7,8,6,3,5,2,1]=>[2,5,6,4,3,8,7,1]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[8,6,7,4,3,5,2,1]=>[4,6,8,7,3,5,2,1]=>[2,5,7,4,3,6,8,1]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[7,6,8,4,3,5,2,1]=>[4,7,6,8,3,5,2,1]=>[2,5,8,4,3,7,6,1]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[6,7,8,4,3,5,2,1]=>[4,6,7,8,3,5,2,1]=>[2,5,8,4,3,6,7,1]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[8,7,6,3,4,5,2,1]=>[3,4,8,7,6,5,2,1]=>[2,5,3,4,6,7,8,1]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[7,8,6,3,4,5,2,1]=>[3,4,7,8,6,5,2,1]=>[2,5,3,4,6,8,7,1]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[8,6,7,3,4,5,2,1]=>[3,4,6,8,7,5,2,1]=>[2,5,3,4,7,6,8,1]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[7,6,8,3,4,5,2,1]=>[3,4,7,6,8,5,2,1]=>[2,5,3,4,8,7,6,1]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[6,7,8,3,4,5,2,1]=>[3,4,6,7,8,5,2,1]=>[2,5,3,4,8,6,7,1]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[8,7,5,4,3,6,2,1]=>[5,8,7,4,3,6,2,1]=>[2,6,4,7,5,3,8,1]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[7,8,5,4,3,6,2,1]=>[5,7,8,4,3,6,2,1]=>[2,6,4,8,5,3,7,1]
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>[8,7,4,5,3,6,2,1]=>[4,5,8,7,3,6,2,1]=>[2,6,7,4,5,3,8,1]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[7,8,5,3,4,6,2,1]=>[3,5,7,8,4,6,2,1]=>[2,6,3,8,5,4,7,1]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[8,7,4,3,5,6,2,1]=>[4,3,8,7,5,6,2,1]=>[2,6,4,3,7,5,8,1]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[7,8,4,3,5,6,2,1]=>[4,3,7,8,5,6,2,1]=>[2,6,4,3,8,5,7,1]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[8,7,3,4,5,6,2,1]=>[3,4,5,8,7,6,2,1]=>[2,6,3,4,5,7,8,1]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>[7,8,3,4,5,6,2,1]=>[3,4,5,7,8,6,2,1]=>[2,6,3,4,5,8,7,1]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[8,6,5,4,3,7,2,1]=>[6,8,5,4,3,7,2,1]=>[2,7,4,5,8,6,3,1]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[8,5,6,4,3,7,2,1]=>[5,6,8,4,3,7,2,1]=>[2,7,4,8,5,6,3,1]
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[8,6,4,5,3,7,2,1]=>[4,6,8,5,3,7,2,1]=>[2,7,5,4,8,6,3,1]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[8,5,4,6,3,7,2,1]=>[5,4,8,6,3,7,2,1]=>[2,7,6,5,4,8,3,1]
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>[8,5,6,3,4,7,2,1]=>[3,5,6,8,4,7,2,1]=>[2,7,3,8,5,6,4,1]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[8,6,4,3,5,7,2,1]=>[4,6,8,3,5,7,2,1]=>[2,7,8,4,3,6,5,1]
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>[8,6,3,4,5,7,2,1]=>[3,4,6,8,5,7,2,1]=>[2,7,3,4,8,6,5,1]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[8,5,4,3,6,7,2,1]=>[5,4,8,3,6,7,2,1]=>[2,7,8,5,4,3,6,1]
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>[8,5,3,4,6,7,2,1]=>[3,5,4,8,6,7,2,1]=>[2,7,3,5,4,8,6,1]
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>[8,4,3,5,6,7,2,1]=>[4,3,5,8,6,7,2,1]=>[2,7,4,3,5,8,6,1]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>[8,3,4,5,6,7,2,1]=>[3,4,5,6,8,7,2,1]=>[2,7,3,4,5,6,8,1]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[7,6,5,4,3,8,2,1]=>[2,8,4,5,6,7,3,1]
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[6,7,5,4,3,8,2,1]=>[6,7,5,4,3,8,2,1]=>[2,8,4,5,7,6,3,1]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[7,5,6,4,3,8,2,1]=>[5,7,6,4,3,8,2,1]=>[2,8,4,6,5,7,3,1]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]=>[6,5,7,4,3,8,2,1]=>[6,5,7,4,3,8,2,1]=>[2,8,4,7,6,5,3,1]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]=>[5,6,7,4,3,8,2,1]=>[5,6,7,4,3,8,2,1]=>[2,8,4,7,5,6,3,1]
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[7,6,4,5,3,8,2,1]=>[4,7,6,5,3,8,2,1]=>[2,8,5,4,6,7,3,1]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[6,7,4,5,3,8,2,1]=>[4,6,7,5,3,8,2,1]=>[2,8,5,4,7,6,3,1]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[7,5,4,6,3,8,2,1]=>[5,7,4,6,3,8,2,1]=>[2,8,6,7,5,4,3,1]
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[7,4,5,6,3,8,2,1]=>[4,5,7,6,3,8,2,1]=>[2,8,6,4,5,7,3,1]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[6,5,4,7,3,8,2,1]=>[6,5,4,7,3,8,2,1]=>[2,8,7,5,6,4,3,1]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>[5,6,4,7,3,8,2,1]=>[5,6,4,7,3,8,2,1]=>[2,8,7,6,5,4,3,1]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[6,4,5,7,3,8,2,1]=>[4,6,5,7,3,8,2,1]=>[2,8,7,4,6,5,3,1]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[5,4,6,7,3,8,2,1]=>[2,8,7,5,4,6,3,1]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[4,5,6,7,3,8,2,1]=>[2,8,7,4,5,6,3,1]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>[7,6,5,3,4,8,2,1]=>[3,7,6,5,4,8,2,1]=>[2,8,3,5,6,7,4,1]
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>[6,7,5,3,4,8,2,1]=>[3,6,7,5,4,8,2,1]=>[2,8,3,5,7,6,4,1]
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]=>[6,5,7,3,4,8,2,1]=>[3,6,5,7,4,8,2,1]=>[2,8,3,7,6,5,4,1]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>[5,6,7,3,4,8,2,1]=>[3,5,6,7,4,8,2,1]=>[2,8,3,7,5,6,4,1]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>[7,6,4,3,5,8,2,1]=>[4,7,6,3,5,8,2,1]=>[2,8,6,4,3,7,5,1]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[7,6,3,4,5,8,2,1]=>[3,4,7,6,5,8,2,1]=>[2,8,3,4,6,7,5,1]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[7,5,4,3,6,8,2,1]=>[5,7,4,3,6,8,2,1]=>[2,8,4,7,5,3,6,1]
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>[7,4,5,3,6,8,2,1]=>[4,5,7,3,6,8,2,1]=>[2,8,7,4,5,3,6,1]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[7,5,3,4,6,8,2,1]=>[3,5,7,4,6,8,2,1]=>[2,8,3,7,5,4,6,1]
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>[7,4,3,5,6,8,2,1]=>[4,3,7,5,6,8,2,1]=>[2,8,4,3,7,5,6,1]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>[7,3,4,5,6,8,2,1]=>[3,4,5,7,6,8,2,1]=>[2,8,3,4,5,7,6,1]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[6,5,4,3,7,8,2,1]=>[2,8,4,5,6,3,7,1]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]]=>[5,6,4,3,7,8,2,1]=>[5,6,4,3,7,8,2,1]=>[2,8,4,6,5,3,7,1]
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]]=>[5,4,6,3,7,8,2,1]=>[5,4,6,3,7,8,2,1]=>[2,8,6,5,4,3,7,1]
[.,[.,[[[.,[[[.,.],.],.]],.],.]]]=>[4,5,6,3,7,8,2,1]=>[4,5,6,3,7,8,2,1]=>[2,8,6,4,5,3,7,1]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]=>[6,5,3,4,7,8,2,1]=>[3,6,5,4,7,8,2,1]=>[2,8,3,5,6,4,7,1]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>[6,4,3,5,7,8,2,1]=>[4,6,3,5,7,8,2,1]=>[2,8,6,4,3,5,7,1]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[6,3,4,5,7,8,2,1]=>[3,4,6,5,7,8,2,1]=>[2,8,3,4,6,5,7,1]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]]=>[5,4,3,6,7,8,2,1]=>[5,4,3,6,7,8,2,1]=>[2,8,4,5,3,6,7,1]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]]=>[4,5,3,6,7,8,2,1]=>[4,5,3,6,7,8,2,1]=>[2,8,5,4,3,6,7,1]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]]=>[5,3,4,6,7,8,2,1]=>[3,5,4,6,7,8,2,1]=>[2,8,3,5,4,6,7,1]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[4,3,5,6,7,8,2,1]=>[4,3,5,6,7,8,2,1]=>[2,8,4,3,5,6,7,1]
[.,[.,[[[[[[.,.],.],.],.],.],.]]]=>[3,4,5,6,7,8,2,1]=>[3,4,5,6,7,8,2,1]=>[2,8,3,4,5,6,7,1]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,2,3,1]=>[2,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,1]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,2,3,1]=>[2,7,8,6,5,4,3,1]=>[3,2,4,5,6,8,7,1]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,2,3,1]=>[2,6,8,7,5,4,3,1]=>[3,2,4,5,7,6,8,1]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,2,3,1]=>[2,7,6,8,5,4,3,1]=>[3,2,4,5,8,7,6,1]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,2,3,1]=>[2,5,8,7,6,4,3,1]=>[3,2,4,6,5,7,8,1]
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[7,8,5,6,4,2,3,1]=>[2,5,7,8,6,4,3,1]=>[3,2,4,6,5,8,7,1]
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[8,6,5,7,4,2,3,1]=>[2,6,8,5,7,4,3,1]=>[3,2,4,7,8,6,5,1]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[8,5,6,7,4,2,3,1]=>[2,5,6,8,7,4,3,1]=>[3,2,4,7,5,6,8,1]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,2,3,1]=>[2,7,6,5,8,4,3,1]=>[3,2,4,8,6,7,5,1]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,2,3,1]=>[2,6,7,5,8,4,3,1]=>[3,2,4,8,7,6,5,1]
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,2,3,1]=>[2,5,7,6,8,4,3,1]=>[3,2,4,8,5,7,6,1]
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>[6,5,7,8,4,2,3,1]=>[2,6,5,7,8,4,3,1]=>[3,2,4,8,6,5,7,1]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[2,5,6,7,8,4,3,1]=>[3,2,4,8,5,6,7,1]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,2,3,1]=>[2,4,8,7,6,5,3,1]=>[3,2,5,4,6,7,8,1]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,2,3,1]=>[2,4,7,8,6,5,3,1]=>[3,2,5,4,6,8,7,1]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[2,4,6,8,7,5,3,1]=>[3,2,5,4,7,6,8,1]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[6,7,8,4,5,2,3,1]=>[2,4,6,7,8,5,3,1]=>[3,2,5,4,8,6,7,1]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,2,3,1]=>[2,5,8,7,4,6,3,1]=>[3,2,6,7,5,4,8,1]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,2,3,1]=>[2,4,5,7,8,6,3,1]=>[3,2,6,4,5,8,7,1]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[8,6,5,4,7,2,3,1]=>[2,6,8,5,4,7,3,1]=>[3,2,7,5,8,6,4,1]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,2,3,1]=>[2,4,6,8,5,7,3,1]=>[3,2,7,4,8,6,5,1]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[8,4,5,6,7,2,3,1]=>[2,4,5,6,8,7,3,1]=>[3,2,7,4,5,6,8,1]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,2,3,1]=>[2,7,6,5,4,8,3,1]=>[3,2,8,5,6,7,4,1]
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[6,7,5,4,8,2,3,1]=>[2,6,7,5,4,8,3,1]=>[3,2,8,5,7,6,4,1]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,2,3,1]=>[2,5,7,6,4,8,3,1]=>[3,2,8,6,5,7,4,1]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,2,3,1]=>[2,6,5,7,4,8,3,1]=>[3,2,8,7,6,5,4,1]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>[5,6,7,4,8,2,3,1]=>[2,5,6,7,4,8,3,1]=>[3,2,8,7,5,6,4,1]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,2,3,1]=>[2,4,7,6,5,8,3,1]=>[3,2,8,4,6,7,5,1]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,2,3,1]=>[2,4,6,7,5,8,3,1]=>[3,2,8,4,7,6,5,1]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[7,5,4,6,8,2,3,1]=>[2,5,7,4,6,8,3,1]=>[3,2,8,7,5,4,6,1]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>[6,5,4,7,8,2,3,1]=>[2,6,5,4,7,8,3,1]=>[3,2,8,5,6,4,7,1]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[5,6,4,7,8,2,3,1]=>[2,5,6,4,7,8,3,1]=>[3,2,8,6,5,4,7,1]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>[6,4,5,7,8,2,3,1]=>[2,4,6,5,7,8,3,1]=>[3,2,8,4,6,5,7,1]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>[5,4,6,7,8,2,3,1]=>[2,5,4,6,7,8,3,1]=>[3,2,8,5,4,6,7,1]
[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,2,3,1]=>[2,4,5,6,7,8,3,1]=>[3,2,8,4,5,6,7,1]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,2,4,1]=>[3,8,7,6,5,2,4,1]=>[4,5,3,2,6,7,8,1]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,2,4,1]=>[3,7,8,6,5,2,4,1]=>[4,5,3,2,6,8,7,1]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,3,2,4,1]=>[3,6,8,7,5,2,4,1]=>[4,5,3,2,7,6,8,1]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,2,4,1]=>[3,7,6,8,5,2,4,1]=>[4,5,3,2,8,7,6,1]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,2,4,1]=>[3,6,7,8,5,2,4,1]=>[4,5,3,2,8,6,7,1]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,2,4,1]=>[3,5,8,7,6,2,4,1]=>[4,6,3,2,5,7,8,1]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,2,4,1]=>[3,5,7,8,6,2,4,1]=>[4,6,3,2,5,8,7,1]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[3,6,8,5,7,2,4,1]=>[4,7,3,2,8,6,5,1]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,2,4,1]=>[3,5,6,8,7,2,4,1]=>[4,7,3,2,5,6,8,1]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,2,4,1]=>[3,7,6,5,8,2,4,1]=>[4,8,3,2,6,7,5,1]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,2,4,1]=>[3,6,7,5,8,2,4,1]=>[4,8,3,2,7,6,5,1]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,2,4,1]=>[3,5,7,6,8,2,4,1]=>[4,8,3,2,5,7,6,1]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,2,4,1]=>[3,6,5,7,8,2,4,1]=>[4,8,3,2,6,5,7,1]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[3,5,6,7,8,2,4,1]=>[4,8,3,2,5,6,7,1]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,2,3,4,1]=>[2,3,8,7,6,5,4,1]=>[4,2,3,5,6,7,8,1]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,2,3,4,1]=>[2,3,6,8,7,5,4,1]=>[4,2,3,5,7,6,8,1]
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,2,3,4,1]=>[2,3,7,6,8,5,4,1]=>[4,2,3,5,8,7,6,1]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,2,3,4,1]=>[2,3,6,7,8,5,4,1]=>[4,2,3,5,8,6,7,1]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,2,3,4,1]=>[2,3,5,8,7,6,4,1]=>[4,2,3,6,5,7,8,1]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,2,3,4,1]=>[2,3,5,7,8,6,4,1]=>[4,2,3,6,5,8,7,1]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,2,3,4,1]=>[2,3,6,8,5,7,4,1]=>[4,2,3,7,8,6,5,1]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[2,3,5,6,8,7,4,1]=>[4,2,3,7,5,6,8,1]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,2,3,4,1]=>[2,3,7,6,5,8,4,1]=>[4,2,3,8,6,7,5,1]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,2,3,4,1]=>[2,3,6,7,5,8,4,1]=>[4,2,3,8,7,6,5,1]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,2,3,4,1]=>[2,3,6,5,7,8,4,1]=>[4,2,3,8,6,5,7,1]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[2,3,5,6,7,8,4,1]=>[4,2,3,8,5,6,7,1]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,2,5,1]=>[4,8,7,6,3,2,5,1]=>[5,3,6,4,2,7,8,1]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[7,8,6,4,3,2,5,1]=>[4,7,8,6,3,2,5,1]=>[5,3,6,4,2,8,7,1]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[7,6,8,4,3,2,5,1]=>[4,7,6,8,3,2,5,1]=>[5,3,8,4,2,7,6,1]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[6,7,8,4,3,2,5,1]=>[4,6,7,8,3,2,5,1]=>[5,3,8,4,2,6,7,1]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[8,7,6,3,4,2,5,1]=>[3,4,8,7,6,2,5,1]=>[5,6,3,4,2,7,8,1]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[7,8,6,3,4,2,5,1]=>[3,4,7,8,6,2,5,1]=>[5,6,3,4,2,8,7,1]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[8,6,7,3,4,2,5,1]=>[3,4,6,8,7,2,5,1]=>[5,7,3,4,2,6,8,1]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[7,6,8,3,4,2,5,1]=>[3,4,7,6,8,2,5,1]=>[5,8,3,4,2,7,6,1]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[6,7,8,3,4,2,5,1]=>[3,4,6,7,8,2,5,1]=>[5,8,3,4,2,6,7,1]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[8,7,6,4,2,3,5,1]=>[2,4,8,7,6,3,5,1]=>[5,2,6,4,3,7,8,1]
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[7,8,6,4,2,3,5,1]=>[2,4,7,8,6,3,5,1]=>[5,2,6,4,3,8,7,1]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[8,6,7,4,2,3,5,1]=>[2,4,6,8,7,3,5,1]=>[5,2,7,4,3,6,8,1]
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[7,6,8,4,2,3,5,1]=>[2,4,7,6,8,3,5,1]=>[5,2,8,4,3,7,6,1]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[6,7,8,4,2,3,5,1]=>[2,4,6,7,8,3,5,1]=>[5,2,8,4,3,6,7,1]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[8,7,6,3,2,4,5,1]=>[3,2,8,7,6,4,5,1]=>[5,3,2,6,4,7,8,1]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>[7,8,6,3,2,4,5,1]=>[3,2,7,8,6,4,5,1]=>[5,3,2,6,4,8,7,1]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[8,6,7,3,2,4,5,1]=>[3,2,6,8,7,4,5,1]=>[5,3,2,7,4,6,8,1]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[6,7,8,3,2,4,5,1]=>[3,2,6,7,8,4,5,1]=>[5,3,2,8,4,6,7,1]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[8,7,6,2,3,4,5,1]=>[2,3,4,8,7,6,5,1]=>[5,2,3,4,6,7,8,1]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[7,8,6,2,3,4,5,1]=>[2,3,4,7,8,6,5,1]=>[5,2,3,4,6,8,7,1]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[8,6,7,2,3,4,5,1]=>[2,3,4,6,8,7,5,1]=>[5,2,3,4,7,6,8,1]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[7,6,8,2,3,4,5,1]=>[2,3,4,7,6,8,5,1]=>[5,2,3,4,8,7,6,1]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[6,7,8,2,3,4,5,1]=>[2,3,4,6,7,8,5,1]=>[5,2,3,4,8,6,7,1]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[8,7,5,4,3,2,6,1]=>[5,8,7,4,3,2,6,1]=>[6,3,4,7,5,2,8,1]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[7,8,5,4,3,2,6,1]=>[5,7,8,4,3,2,6,1]=>[6,3,4,8,5,2,7,1]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[8,7,5,3,4,2,6,1]=>[3,5,8,7,4,2,6,1]=>[6,4,3,7,5,2,8,1]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[7,8,5,3,4,2,6,1]=>[3,5,7,8,4,2,6,1]=>[6,4,3,8,5,2,7,1]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[8,7,4,3,5,2,6,1]=>[4,3,8,7,5,2,6,1]=>[6,5,4,3,7,2,8,1]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[7,8,4,3,5,2,6,1]=>[4,3,7,8,5,2,6,1]=>[6,5,4,3,8,2,7,1]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[7,8,3,4,5,2,6,1]=>[3,4,5,7,8,2,6,1]=>[6,8,3,4,5,2,7,1]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[8,7,5,4,2,3,6,1]=>[2,5,8,7,4,3,6,1]=>[6,2,4,7,5,3,8,1]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[7,8,5,4,2,3,6,1]=>[2,5,7,8,4,3,6,1]=>[6,2,4,8,5,3,7,1]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[8,7,5,3,2,4,6,1]=>[3,5,8,7,2,4,6,1]=>[6,7,3,2,5,4,8,1]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[7,8,5,2,3,4,6,1]=>[2,3,5,7,8,4,6,1]=>[6,2,3,8,5,4,7,1]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[8,7,4,3,2,5,6,1]=>[4,3,8,7,2,5,6,1]=>[6,7,4,3,2,5,8,1]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[7,8,4,3,2,5,6,1]=>[4,3,7,8,2,5,6,1]=>[6,8,4,3,2,5,7,1]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[7,8,3,4,2,5,6,1]=>[3,4,2,7,8,5,6,1]=>[6,4,3,2,8,5,7,1]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[7,8,4,2,3,5,6,1]=>[2,4,3,7,8,5,6,1]=>[6,2,4,3,8,5,7,1]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[7,8,3,2,4,5,6,1]=>[3,2,4,7,8,5,6,1]=>[6,3,2,4,8,5,7,1]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[8,7,2,3,4,5,6,1]=>[2,3,4,5,8,7,6,1]=>[6,2,3,4,5,7,8,1]
[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[7,8,2,3,4,5,6,1]=>[2,3,4,5,7,8,6,1]=>[6,2,3,4,5,8,7,1]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[8,6,5,4,3,2,7,1]=>[6,8,5,4,3,2,7,1]=>[7,3,4,5,8,6,2,1]
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>[8,5,6,4,3,2,7,1]=>[5,6,8,4,3,2,7,1]=>[7,3,4,8,5,6,2,1]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[8,6,4,5,3,2,7,1]=>[4,6,8,5,3,2,7,1]=>[7,3,5,4,8,6,2,1]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[8,6,5,3,4,2,7,1]=>[3,6,8,5,4,2,7,1]=>[7,4,3,5,8,6,2,1]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[8,5,6,3,4,2,7,1]=>[3,5,6,8,4,2,7,1]=>[7,4,3,8,5,6,2,1]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[8,6,4,3,5,2,7,1]=>[4,6,8,3,5,2,7,1]=>[7,5,8,4,3,6,2,1]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[8,6,3,4,5,2,7,1]=>[3,4,6,8,5,2,7,1]=>[7,5,3,4,8,6,2,1]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[8,5,4,3,6,2,7,1]=>[5,4,8,3,6,2,7,1]=>[7,6,8,5,4,3,2,1]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[8,4,5,3,6,2,7,1]=>[4,5,3,8,6,2,7,1]=>[7,6,5,4,3,8,2,1]
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>[8,5,3,4,6,2,7,1]=>[3,5,4,8,6,2,7,1]=>[7,6,3,5,4,8,2,1]
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]=>[8,4,3,5,6,2,7,1]=>[4,3,5,8,6,2,7,1]=>[7,6,4,3,5,8,2,1]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]]=>[8,3,4,5,6,2,7,1]=>[3,4,5,6,8,2,7,1]=>[7,8,3,4,5,6,2,1]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[8,6,5,4,2,3,7,1]=>[2,6,8,5,4,3,7,1]=>[7,2,4,5,8,6,3,1]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[8,5,6,4,2,3,7,1]=>[2,5,6,8,4,3,7,1]=>[7,2,4,8,5,6,3,1]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[8,6,4,5,2,3,7,1]=>[2,4,6,8,5,3,7,1]=>[7,2,5,4,8,6,3,1]
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>[8,5,4,6,2,3,7,1]=>[2,5,4,8,6,3,7,1]=>[7,2,6,5,4,8,3,1]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[8,6,5,3,2,4,7,1]=>[3,6,8,5,2,4,7,1]=>[7,5,3,2,8,6,4,1]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[8,6,4,3,2,5,7,1]=>[4,6,8,3,2,5,7,1]=>[7,3,8,4,2,6,5,1]
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[8,6,3,4,2,5,7,1]=>[3,4,6,8,2,5,7,1]=>[7,8,3,4,2,6,5,1]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[8,6,4,2,3,5,7,1]=>[2,4,6,8,3,5,7,1]=>[7,2,8,4,3,6,5,1]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[8,6,2,3,4,5,7,1]=>[2,3,4,6,8,5,7,1]=>[7,2,3,4,8,6,5,1]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[8,5,4,3,2,6,7,1]=>[5,4,8,3,2,6,7,1]=>[7,3,8,5,4,2,6,1]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[8,5,3,4,2,6,7,1]=>[3,5,4,8,2,6,7,1]=>[7,8,3,5,4,2,6,1]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>[8,3,4,5,2,6,7,1]=>[3,4,5,2,8,6,7,1]=>[7,5,3,4,2,8,6,1]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[8,5,4,2,3,6,7,1]=>[2,5,4,8,3,6,7,1]=>[7,2,8,5,4,3,6,1]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[8,4,5,2,3,6,7,1]=>[2,4,5,3,8,6,7,1]=>[7,2,5,4,3,8,6,1]
[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>[8,5,2,3,4,6,7,1]=>[2,3,5,4,8,6,7,1]=>[7,2,3,5,4,8,6,1]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>[8,4,3,2,5,6,7,1]=>[4,3,2,8,5,6,7,1]=>[7,3,4,2,8,5,6,1]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[8,3,4,2,5,6,7,1]=>[3,4,2,5,8,6,7,1]=>[7,4,3,2,5,8,6,1]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[8,4,2,3,5,6,7,1]=>[2,4,3,5,8,6,7,1]=>[7,2,4,3,5,8,6,1]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>[8,3,2,4,5,6,7,1]=>[3,2,4,5,8,6,7,1]=>[7,3,2,4,5,8,6,1]
[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[8,2,3,4,5,6,7,1]=>[2,3,4,5,6,8,7,1]=>[7,2,3,4,5,6,8,1]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,8,1]=>[8,3,4,5,6,7,2,1]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[6,7,5,4,3,2,8,1]=>[6,7,5,4,3,2,8,1]=>[8,3,4,5,7,6,2,1]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[7,5,6,4,3,2,8,1]=>[5,7,6,4,3,2,8,1]=>[8,3,4,6,5,7,2,1]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>[6,5,7,4,3,2,8,1]=>[8,3,4,7,6,5,2,1]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]]=>[5,6,7,4,3,2,8,1]=>[5,6,7,4,3,2,8,1]=>[8,3,4,7,5,6,2,1]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[7,6,4,5,3,2,8,1]=>[4,7,6,5,3,2,8,1]=>[8,3,5,4,6,7,2,1]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]=>[6,7,4,5,3,2,8,1]=>[4,6,7,5,3,2,8,1]=>[8,3,5,4,7,6,2,1]
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[7,5,4,6,3,2,8,1]=>[5,7,4,6,3,2,8,1]=>[8,3,6,7,5,4,2,1]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>[7,4,5,6,3,2,8,1]=>[4,5,7,6,3,2,8,1]=>[8,3,6,4,5,7,2,1]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]=>[6,5,4,7,3,2,8,1]=>[6,5,4,7,3,2,8,1]=>[8,3,7,5,6,4,2,1]
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]]=>[5,6,4,7,3,2,8,1]=>[5,6,4,7,3,2,8,1]=>[8,3,7,6,5,4,2,1]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[6,4,5,7,3,2,8,1]=>[4,6,5,7,3,2,8,1]=>[8,3,7,4,6,5,2,1]
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]]=>[5,4,6,7,3,2,8,1]=>[5,4,6,7,3,2,8,1]=>[8,3,7,5,4,6,2,1]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[4,5,6,7,3,2,8,1]=>[8,3,7,4,5,6,2,1]
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[7,6,5,3,4,2,8,1]=>[3,7,6,5,4,2,8,1]=>[8,4,3,5,6,7,2,1]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[7,5,6,3,4,2,8,1]=>[3,5,7,6,4,2,8,1]=>[8,4,3,6,5,7,2,1]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[6,5,7,3,4,2,8,1]=>[3,6,5,7,4,2,8,1]=>[8,4,3,7,6,5,2,1]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>[5,6,7,3,4,2,8,1]=>[3,5,6,7,4,2,8,1]=>[8,4,3,7,5,6,2,1]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[7,6,4,3,5,2,8,1]=>[4,7,6,3,5,2,8,1]=>[8,5,6,4,3,7,2,1]
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[6,7,4,3,5,2,8,1]=>[4,6,7,3,5,2,8,1]=>[8,5,7,4,3,6,2,1]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>[7,6,3,4,5,2,8,1]=>[3,4,7,6,5,2,8,1]=>[8,5,3,4,6,7,2,1]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[7,5,4,3,6,2,8,1]=>[5,7,4,3,6,2,8,1]=>[8,6,4,7,5,3,2,1]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[7,4,5,3,6,2,8,1]=>[4,5,7,3,6,2,8,1]=>[8,6,7,4,5,3,2,1]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>[7,5,3,4,6,2,8,1]=>[3,5,7,4,6,2,8,1]=>[8,6,3,7,5,4,2,1]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]]=>[7,3,4,5,6,2,8,1]=>[3,4,5,7,6,2,8,1]=>[8,6,3,4,5,7,2,1]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[6,5,4,3,7,2,8,1]=>[8,7,4,5,6,3,2,1]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[5,6,4,3,7,2,8,1]=>[5,6,4,3,7,2,8,1]=>[8,7,4,6,5,3,2,1]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[6,4,5,3,7,2,8,1]=>[4,6,5,3,7,2,8,1]=>[8,7,5,4,6,3,2,1]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,8,1]=>[8,7,6,5,4,3,2,1]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[4,5,6,3,7,2,8,1]=>[8,7,6,4,5,3,2,1]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[6,5,3,4,7,2,8,1]=>[3,6,5,4,7,2,8,1]=>[8,7,3,5,6,4,2,1]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[5,6,3,4,7,2,8,1]=>[3,5,6,4,7,2,8,1]=>[8,7,3,6,5,4,2,1]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[6,4,3,5,7,2,8,1]=>[4,6,3,5,7,2,8,1]=>[8,7,6,4,3,5,2,1]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>[6,3,4,5,7,2,8,1]=>[3,4,6,5,7,2,8,1]=>[8,7,3,4,6,5,2,1]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[5,4,3,6,7,2,8,1]=>[8,7,4,5,3,6,2,1]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]]=>[4,5,3,6,7,2,8,1]=>[4,5,3,6,7,2,8,1]=>[8,7,5,4,3,6,2,1]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>[5,3,4,6,7,2,8,1]=>[3,5,4,6,7,2,8,1]=>[8,7,3,5,4,6,2,1]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]]=>[4,3,5,6,7,2,8,1]=>[4,3,5,6,7,2,8,1]=>[8,7,4,3,5,6,2,1]
[.,[[.,[[[[[.,.],.],.],.],.]],.]]=>[3,4,5,6,7,2,8,1]=>[3,4,5,6,7,2,8,1]=>[8,7,3,4,5,6,2,1]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,2,3,8,1]=>[2,7,6,5,4,3,8,1]=>[8,2,4,5,6,7,3,1]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]=>[7,5,6,4,2,3,8,1]=>[2,5,7,6,4,3,8,1]=>[8,2,4,6,5,7,3,1]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,2,3,8,1]=>[2,6,5,7,4,3,8,1]=>[8,2,4,7,6,5,3,1]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,2,3,8,1]=>[2,5,6,7,4,3,8,1]=>[8,2,4,7,5,6,3,1]
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>[7,6,4,5,2,3,8,1]=>[2,4,7,6,5,3,8,1]=>[8,2,5,4,6,7,3,1]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,2,3,8,1]=>[2,4,6,7,5,3,8,1]=>[8,2,5,4,7,6,3,1]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[7,5,4,6,2,3,8,1]=>[2,5,7,4,6,3,8,1]=>[8,2,6,7,5,4,3,1]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,2,3,8,1]=>[2,4,5,7,6,3,8,1]=>[8,2,6,4,5,7,3,1]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,2,3,8,1]=>[2,5,6,4,7,3,8,1]=>[8,2,7,6,5,4,3,1]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,2,3,8,1]=>[2,4,6,5,7,3,8,1]=>[8,2,7,4,6,5,3,1]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,2,3,8,1]=>[2,5,4,6,7,3,8,1]=>[8,2,7,5,4,6,3,1]
[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[4,5,6,7,2,3,8,1]=>[2,4,5,6,7,3,8,1]=>[8,2,7,4,5,6,3,1]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>[7,6,5,3,2,4,8,1]=>[3,7,6,5,2,4,8,1]=>[8,5,3,2,6,7,4,1]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[6,7,5,3,2,4,8,1]=>[3,6,7,5,2,4,8,1]=>[8,5,3,2,7,6,4,1]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>[7,5,6,3,2,4,8,1]=>[3,5,7,6,2,4,8,1]=>[8,6,3,2,5,7,4,1]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[7,6,5,2,3,4,8,1]=>[2,3,7,6,5,4,8,1]=>[8,2,3,5,6,7,4,1]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[7,5,6,2,3,4,8,1]=>[2,3,5,7,6,4,8,1]=>[8,2,3,6,5,7,4,1]
[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[5,6,7,2,3,4,8,1]=>[2,3,5,6,7,4,8,1]=>[8,2,3,7,5,6,4,1]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[7,6,4,3,2,5,8,1]=>[4,7,6,3,2,5,8,1]=>[8,3,6,4,2,7,5,1]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[6,7,4,3,2,5,8,1]=>[4,6,7,3,2,5,8,1]=>[8,3,7,4,2,6,5,1]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[7,6,3,4,2,5,8,1]=>[3,4,7,6,2,5,8,1]=>[8,6,3,4,2,7,5,1]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[7,6,4,2,3,5,8,1]=>[2,4,7,6,3,5,8,1]=>[8,2,6,4,3,7,5,1]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[7,6,3,2,4,5,8,1]=>[3,2,7,6,4,5,8,1]=>[8,3,2,6,4,7,5,1]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[6,7,3,2,4,5,8,1]=>[3,2,6,7,4,5,8,1]=>[8,3,2,7,4,6,5,1]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[7,6,2,3,4,5,8,1]=>[2,3,4,7,6,5,8,1]=>[8,2,3,4,6,7,5,1]
[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[6,7,2,3,4,5,8,1]=>[2,3,4,6,7,5,8,1]=>[8,2,3,4,7,6,5,1]
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]]=>[7,4,5,3,2,6,8,1]=>[4,5,7,3,2,6,8,1]=>[8,3,7,4,5,2,6,1]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]=>[7,5,3,4,2,6,8,1]=>[3,5,7,4,2,6,8,1]=>[8,4,3,7,5,2,6,1]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]]=>[7,3,4,5,2,6,8,1]=>[3,4,5,7,2,6,8,1]=>[8,7,3,4,5,2,6,1]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[7,5,4,2,3,6,8,1]=>[2,5,7,4,3,6,8,1]=>[8,2,4,7,5,3,6,1]
[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>[7,4,5,2,3,6,8,1]=>[2,4,5,7,3,6,8,1]=>[8,2,7,4,5,3,6,1]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[7,5,3,2,4,6,8,1]=>[3,5,7,2,4,6,8,1]=>[8,7,3,2,5,4,6,1]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[7,5,2,3,4,6,8,1]=>[2,3,5,7,4,6,8,1]=>[8,2,3,7,5,4,6,1]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>[7,4,3,2,5,6,8,1]=>[4,3,7,2,5,6,8,1]=>[8,7,4,3,2,5,6,1]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]]=>[7,3,4,2,5,6,8,1]=>[3,4,2,7,5,6,8,1]=>[8,4,3,2,7,5,6,1]
[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>[7,4,2,3,5,6,8,1]=>[2,4,3,7,5,6,8,1]=>[8,2,4,3,7,5,6,1]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>[7,3,2,4,5,6,8,1]=>[3,2,4,7,5,6,8,1]=>[8,3,2,4,7,5,6,1]
[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>[7,2,3,4,5,6,8,1]=>[2,3,4,5,7,6,8,1]=>[8,2,3,4,5,7,6,1]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[6,5,4,3,2,7,8,1]=>[8,3,4,5,6,2,7,1]
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]=>[6,4,5,3,2,7,8,1]=>[4,6,5,3,2,7,8,1]=>[8,3,5,4,6,2,7,1]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[5,4,6,3,2,7,8,1]=>[8,3,6,5,4,2,7,1]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]]=>[4,5,6,3,2,7,8,1]=>[4,5,6,3,2,7,8,1]=>[8,3,6,4,5,2,7,1]
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]=>[6,5,3,4,2,7,8,1]=>[3,6,5,4,2,7,8,1]=>[8,4,3,5,6,2,7,1]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[5,6,3,4,2,7,8,1]=>[3,5,6,4,2,7,8,1]=>[8,4,3,6,5,2,7,1]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]=>[6,4,3,5,2,7,8,1]=>[4,6,3,5,2,7,8,1]=>[8,5,6,4,3,2,7,1]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>[6,3,4,5,2,7,8,1]=>[3,4,6,5,2,7,8,1]=>[8,5,3,4,6,2,7,1]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[5,4,3,6,2,7,8,1]=>[8,6,4,5,3,2,7,1]
[.,[[[.,[[.,[[.,.],.]],.]],.],.]]=>[4,5,3,6,2,7,8,1]=>[4,5,3,6,2,7,8,1]=>[8,6,5,4,3,2,7,1]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]]=>[5,3,4,6,2,7,8,1]=>[3,5,4,6,2,7,8,1]=>[8,6,3,5,4,2,7,1]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]]=>[4,3,5,6,2,7,8,1]=>[4,3,5,6,2,7,8,1]=>[8,6,4,3,5,2,7,1]
[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[6,5,4,2,3,7,8,1]=>[2,6,5,4,3,7,8,1]=>[8,2,4,5,6,3,7,1]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>[5,6,4,2,3,7,8,1]=>[2,5,6,4,3,7,8,1]=>[8,2,4,6,5,3,7,1]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>[6,4,5,2,3,7,8,1]=>[2,4,6,5,3,7,8,1]=>[8,2,5,4,6,3,7,1]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[5,4,6,2,3,7,8,1]=>[2,5,4,6,3,7,8,1]=>[8,2,6,5,4,3,7,1]
[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[4,5,6,2,3,7,8,1]=>[2,4,5,6,3,7,8,1]=>[8,2,6,4,5,3,7,1]
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>[6,5,3,2,4,7,8,1]=>[3,6,5,2,4,7,8,1]=>[8,5,3,2,6,4,7,1]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[6,5,2,3,4,7,8,1]=>[2,3,6,5,4,7,8,1]=>[8,2,3,5,6,4,7,1]
[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[5,6,2,3,4,7,8,1]=>[2,3,5,6,4,7,8,1]=>[8,2,3,6,5,4,7,1]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[6,4,2,3,5,7,8,1]=>[2,4,6,3,5,7,8,1]=>[8,2,6,4,3,5,7,1]
[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[6,2,3,4,5,7,8,1]=>[2,3,4,6,5,7,8,1]=>[8,2,3,4,6,5,7,1]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[5,4,3,2,6,7,8,1]=>[8,3,4,5,2,6,7,1]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>[4,5,3,2,6,7,8,1]=>[4,5,3,2,6,7,8,1]=>[8,3,5,4,2,6,7,1]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[5,3,4,2,6,7,8,1]=>[3,5,4,2,6,7,8,1]=>[8,4,3,5,2,6,7,1]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1]
[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[3,4,5,2,6,7,8,1]=>[3,4,5,2,6,7,8,1]=>[8,5,3,4,2,6,7,1]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[5,4,2,3,6,7,8,1]=>[2,5,4,3,6,7,8,1]=>[8,2,4,5,3,6,7,1]
[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[4,5,2,3,6,7,8,1]=>[2,4,5,3,6,7,8,1]=>[8,2,5,4,3,6,7,1]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[5,3,2,4,6,7,8,1]=>[3,5,2,4,6,7,8,1]=>[8,5,3,2,4,6,7,1]
[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[5,2,3,4,6,7,8,1]=>[2,3,5,4,6,7,8,1]=>[8,2,3,5,4,6,7,1]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[4,3,2,5,6,7,8,1]=>[8,3,4,2,5,6,7,1]
[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1]
[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[4,2,3,5,6,7,8,1]=>[2,4,3,5,6,7,8,1]=>[8,2,4,3,5,6,7,1]
[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1]
[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,2]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,3,1,2]=>[1,7,8,6,5,4,3,2]=>[1,3,4,5,6,8,7,2]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,3,1,2]=>[1,6,8,7,5,4,3,2]=>[1,3,4,5,7,6,8,2]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,3,1,2]=>[1,7,6,8,5,4,3,2]=>[1,3,4,5,8,7,6,2]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[6,7,8,5,4,3,1,2]=>[1,6,7,8,5,4,3,2]=>[1,3,4,5,8,6,7,2]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,3,1,2]=>[1,5,8,7,6,4,3,2]=>[1,3,4,6,5,7,8,2]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[7,8,5,6,4,3,1,2]=>[1,5,7,8,6,4,3,2]=>[1,3,4,6,5,8,7,2]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[8,6,5,7,4,3,1,2]=>[1,6,8,5,7,4,3,2]=>[1,3,4,7,8,6,5,2]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[8,5,6,7,4,3,1,2]=>[1,5,6,8,7,4,3,2]=>[1,3,4,7,5,6,8,2]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,3,1,2]=>[1,7,6,5,8,4,3,2]=>[1,3,4,8,6,7,5,2]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,3,1,2]=>[1,6,7,5,8,4,3,2]=>[1,3,4,8,7,6,5,2]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,3,1,2]=>[1,5,7,6,8,4,3,2]=>[1,3,4,8,5,7,6,2]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[6,5,7,8,4,3,1,2]=>[1,6,5,7,8,4,3,2]=>[1,3,4,8,6,5,7,2]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[1,5,6,7,8,4,3,2]=>[1,3,4,8,5,6,7,2]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,3,1,2]=>[1,4,8,7,6,5,3,2]=>[1,3,5,4,6,7,8,2]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[1,4,7,8,6,5,3,2]=>[1,3,5,4,6,8,7,2]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,3,1,2]=>[1,4,6,8,7,5,3,2]=>[1,3,5,4,7,6,8,2]
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>[7,6,8,4,5,3,1,2]=>[1,4,7,6,8,5,3,2]=>[1,3,5,4,8,7,6,2]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[6,7,8,4,5,3,1,2]=>[1,4,6,7,8,5,3,2]=>[1,3,5,4,8,6,7,2]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,3,1,2]=>[1,5,8,7,4,6,3,2]=>[1,3,6,7,5,4,8,2]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[8,7,4,5,6,3,1,2]=>[1,4,5,8,7,6,3,2]=>[1,3,6,4,5,7,8,2]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,3,1,2]=>[1,4,5,7,8,6,3,2]=>[1,3,6,4,5,8,7,2]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,3,1,2]=>[1,5,6,8,4,7,3,2]=>[1,3,7,8,5,6,4,2]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,3,1,2]=>[1,4,6,8,5,7,3,2]=>[1,3,7,4,8,6,5,2]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,3,1,2]=>[1,7,6,5,4,8,3,2]=>[1,3,8,5,6,7,4,2]
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>[6,7,5,4,8,3,1,2]=>[1,6,7,5,4,8,3,2]=>[1,3,8,5,7,6,4,2]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,3,1,2]=>[1,6,5,7,4,8,3,2]=>[1,3,8,7,6,5,4,2]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,3,1,2]=>[1,4,7,6,5,8,3,2]=>[1,3,8,4,6,7,5,2]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,3,1,2]=>[1,4,6,7,5,8,3,2]=>[1,3,8,4,7,6,5,2]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>[7,5,4,6,8,3,1,2]=>[1,5,7,4,6,8,3,2]=>[1,3,8,7,5,4,6,2]
[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>[7,4,5,6,8,3,1,2]=>[1,4,5,7,6,8,3,2]=>[1,3,8,4,5,7,6,2]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>[6,5,4,7,8,3,1,2]=>[1,6,5,4,7,8,3,2]=>[1,3,8,5,6,4,7,2]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[5,6,4,7,8,3,1,2]=>[1,5,6,4,7,8,3,2]=>[1,3,8,6,5,4,7,2]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[5,4,6,7,8,3,1,2]=>[1,5,4,6,7,8,3,2]=>[1,3,8,5,4,6,7,2]
[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,3,1,2]=>[1,4,5,6,7,8,3,2]=>[1,3,8,4,5,6,7,2]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,4,1,2]=>[1,3,8,7,6,5,4,2]=>[1,4,3,5,6,7,8,2]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,4,1,2]=>[1,3,7,8,6,5,4,2]=>[1,4,3,5,6,8,7,2]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,3,4,1,2]=>[1,3,6,8,7,5,4,2]=>[1,4,3,5,7,6,8,2]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,4,1,2]=>[1,3,7,6,8,5,4,2]=>[1,4,3,5,8,7,6,2]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,4,1,2]=>[1,3,6,7,8,5,4,2]=>[1,4,3,5,8,6,7,2]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,4,1,2]=>[1,3,5,8,7,6,4,2]=>[1,4,3,6,5,7,8,2]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[1,3,5,7,8,6,4,2]=>[1,4,3,6,5,8,7,2]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,4,1,2]=>[1,3,6,8,5,7,4,2]=>[1,4,3,7,8,6,5,2]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,4,1,2]=>[1,3,5,6,8,7,4,2]=>[1,4,3,7,5,6,8,2]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,4,1,2]=>[1,3,7,6,5,8,4,2]=>[1,4,3,8,6,7,5,2]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,4,1,2]=>[1,3,6,7,5,8,4,2]=>[1,4,3,8,7,6,5,2]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,4,1,2]=>[1,3,5,7,6,8,4,2]=>[1,4,3,8,5,7,6,2]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[1,3,6,5,7,8,4,2]=>[1,4,3,8,6,5,7,2]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[1,3,5,6,7,8,4,2]=>[1,4,3,8,5,6,7,2]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,5,1,2]=>[1,4,8,7,6,3,5,2]=>[1,5,6,4,3,7,8,2]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[7,8,6,4,3,5,1,2]=>[1,4,7,8,6,3,5,2]=>[1,5,6,4,3,8,7,2]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[8,6,7,4,3,5,1,2]=>[1,4,6,8,7,3,5,2]=>[1,5,7,4,3,6,8,2]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[7,6,8,4,3,5,1,2]=>[1,4,7,6,8,3,5,2]=>[1,5,8,4,3,7,6,2]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[6,7,8,4,3,5,1,2]=>[1,4,6,7,8,3,5,2]=>[1,5,8,4,3,6,7,2]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[8,7,6,3,4,5,1,2]=>[1,3,4,8,7,6,5,2]=>[1,5,3,4,6,7,8,2]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[7,8,6,3,4,5,1,2]=>[1,3,4,7,8,6,5,2]=>[1,5,3,4,6,8,7,2]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[8,6,7,3,4,5,1,2]=>[1,3,4,6,8,7,5,2]=>[1,5,3,4,7,6,8,2]
[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[6,7,8,3,4,5,1,2]=>[1,3,4,6,7,8,5,2]=>[1,5,3,4,8,6,7,2]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[8,7,5,4,3,6,1,2]=>[1,5,8,7,4,3,6,2]=>[1,6,4,7,5,3,8,2]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[7,8,5,4,3,6,1,2]=>[1,5,7,8,4,3,6,2]=>[1,6,4,8,5,3,7,2]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[8,7,4,5,3,6,1,2]=>[1,4,5,8,7,3,6,2]=>[1,6,7,4,5,3,8,2]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[7,8,4,5,3,6,1,2]=>[1,4,5,7,8,3,6,2]=>[1,6,8,4,5,3,7,2]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[7,8,5,3,4,6,1,2]=>[1,3,5,7,8,4,6,2]=>[1,6,3,8,5,4,7,2]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[8,7,4,3,5,6,1,2]=>[1,4,3,8,7,5,6,2]=>[1,6,4,3,7,5,8,2]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[1,4,3,7,8,5,6,2]=>[1,6,4,3,8,5,7,2]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[8,7,3,4,5,6,1,2]=>[1,3,4,5,8,7,6,2]=>[1,6,3,4,5,7,8,2]
[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>[1,3,4,5,7,8,6,2]=>[1,6,3,4,5,8,7,2]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[8,6,5,4,3,7,1,2]=>[1,6,8,5,4,3,7,2]=>[1,7,4,5,8,6,3,2]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>[8,5,4,6,3,7,1,2]=>[1,5,4,8,6,3,7,2]=>[1,7,6,5,4,8,3,2]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[8,5,6,3,4,7,1,2]=>[1,3,5,6,8,4,7,2]=>[1,7,3,8,5,6,4,2]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[8,6,4,3,5,7,1,2]=>[1,4,6,8,3,5,7,2]=>[1,7,8,4,3,6,5,2]
[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[8,6,3,4,5,7,1,2]=>[1,3,4,6,8,5,7,2]=>[1,7,3,4,8,6,5,2]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[8,5,4,3,6,7,1,2]=>[1,5,4,8,3,6,7,2]=>[1,7,8,5,4,3,6,2]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[8,4,3,5,6,7,1,2]=>[1,4,3,5,8,6,7,2]=>[1,7,4,3,5,8,6,2]
[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[8,3,4,5,6,7,1,2]=>[1,3,4,5,6,8,7,2]=>[1,7,3,4,5,6,8,2]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,3,8,1,2]=>[1,7,6,5,4,3,8,2]=>[1,8,4,5,6,7,3,2]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>[6,7,5,4,3,8,1,2]=>[1,6,7,5,4,3,8,2]=>[1,8,4,5,7,6,3,2]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,3,8,1,2]=>[1,6,5,7,4,3,8,2]=>[1,8,4,7,6,5,3,2]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,3,8,1,2]=>[1,5,6,7,4,3,8,2]=>[1,8,4,7,5,6,3,2]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>[7,6,4,5,3,8,1,2]=>[1,4,7,6,5,3,8,2]=>[1,8,5,4,6,7,3,2]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,3,8,1,2]=>[1,4,6,7,5,3,8,2]=>[1,8,5,4,7,6,3,2]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[7,5,4,6,3,8,1,2]=>[1,5,7,4,6,3,8,2]=>[1,8,6,7,5,4,3,2]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,3,8,1,2]=>[1,4,5,7,6,3,8,2]=>[1,8,6,4,5,7,3,2]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,3,8,1,2]=>[1,5,6,4,7,3,8,2]=>[1,8,7,6,5,4,3,2]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,3,8,1,2]=>[1,5,4,6,7,3,8,2]=>[1,8,7,5,4,6,3,2]
[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[4,5,6,7,3,8,1,2]=>[1,4,5,6,7,3,8,2]=>[1,8,7,4,5,6,3,2]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[7,5,6,3,4,8,1,2]=>[1,3,5,7,6,4,8,2]=>[1,8,3,6,5,7,4,2]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>[6,5,7,3,4,8,1,2]=>[1,3,6,5,7,4,8,2]=>[1,8,3,7,6,5,4,2]
[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[5,6,7,3,4,8,1,2]=>[1,3,5,6,7,4,8,2]=>[1,8,3,7,5,6,4,2]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>[6,7,4,3,5,8,1,2]=>[1,4,6,7,3,5,8,2]=>[1,8,7,4,3,6,5,2]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[7,6,3,4,5,8,1,2]=>[1,3,4,7,6,5,8,2]=>[1,8,3,4,6,7,5,2]
[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[6,7,3,4,5,8,1,2]=>[1,3,4,6,7,5,8,2]=>[1,8,3,4,7,6,5,2]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>[7,4,5,3,6,8,1,2]=>[1,4,5,7,3,6,8,2]=>[1,8,7,4,5,3,6,2]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[7,5,3,4,6,8,1,2]=>[1,3,5,7,4,6,8,2]=>[1,8,3,7,5,4,6,2]
[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>[7,3,4,5,6,8,1,2]=>[1,3,4,5,7,6,8,2]=>[1,8,3,4,5,7,6,2]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[6,5,4,3,7,8,1,2]=>[1,6,5,4,3,7,8,2]=>[1,8,4,5,6,3,7,2]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>[6,4,5,3,7,8,1,2]=>[1,4,6,5,3,7,8,2]=>[1,8,5,4,6,3,7,2]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[5,4,6,3,7,8,1,2]=>[1,5,4,6,3,7,8,2]=>[1,8,6,5,4,3,7,2]
[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[4,5,6,3,7,8,1,2]=>[1,4,5,6,3,7,8,2]=>[1,8,6,4,5,3,7,2]
[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[5,6,3,4,7,8,1,2]=>[1,3,5,6,4,7,8,2]=>[1,8,3,6,5,4,7,2]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[6,4,3,5,7,8,1,2]=>[1,4,6,3,5,7,8,2]=>[1,8,6,4,3,5,7,2]
[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[6,3,4,5,7,8,1,2]=>[1,3,4,6,5,7,8,2]=>[1,8,3,4,6,5,7,2]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[1,5,4,3,6,7,8,2]=>[1,8,4,5,3,6,7,2]
[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[4,5,3,6,7,8,1,2]=>[1,4,5,3,6,7,8,2]=>[1,8,5,4,3,6,7,2]
[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[5,3,4,6,7,8,1,2]=>[1,3,5,4,6,7,8,2]=>[1,8,3,5,4,6,7,2]
[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[4,3,5,6,7,8,1,2]=>[1,4,3,5,6,7,8,2]=>[1,8,4,3,5,6,7,2]
[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[1,3,4,5,6,7,8,2]=>[1,8,3,4,5,6,7,2]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[2,8,7,6,5,4,1,3]=>[4,2,1,5,6,7,8,3]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[7,8,6,5,4,2,1,3]=>[2,7,8,6,5,4,1,3]=>[4,2,1,5,6,8,7,3]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[8,6,7,5,4,2,1,3]=>[2,6,8,7,5,4,1,3]=>[4,2,1,5,7,6,8,3]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[2,7,6,8,5,4,1,3]=>[4,2,1,5,8,7,6,3]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,2,1,3]=>[2,6,7,8,5,4,1,3]=>[4,2,1,5,8,6,7,3]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,2,1,3]=>[2,5,8,7,6,4,1,3]=>[4,2,1,6,5,7,8,3]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,2,1,3]=>[2,5,7,8,6,4,1,3]=>[4,2,1,6,5,8,7,3]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[8,6,5,7,4,2,1,3]=>[2,6,8,5,7,4,1,3]=>[4,2,1,7,8,6,5,3]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,2,1,3]=>[2,5,6,8,7,4,1,3]=>[4,2,1,7,5,6,8,3]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,2,1,3]=>[2,7,6,5,8,4,1,3]=>[4,2,1,8,6,7,5,3]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,2,1,3]=>[2,6,7,5,8,4,1,3]=>[4,2,1,8,7,6,5,3]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,2,1,3]=>[2,5,7,6,8,4,1,3]=>[4,2,1,8,5,7,6,3]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,2,1,3]=>[2,6,5,7,8,4,1,3]=>[4,2,1,8,6,5,7,3]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[2,5,6,7,8,4,1,3]=>[4,2,1,8,5,6,7,3]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,2,1,3]=>[2,4,8,7,6,5,1,3]=>[5,2,1,4,6,7,8,3]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[7,8,6,4,5,2,1,3]=>[2,4,7,8,6,5,1,3]=>[5,2,1,4,6,8,7,3]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,2,1,3]=>[2,4,6,8,7,5,1,3]=>[5,2,1,4,7,6,8,3]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[7,6,8,4,5,2,1,3]=>[2,4,7,6,8,5,1,3]=>[5,2,1,4,8,7,6,3]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[6,7,8,4,5,2,1,3]=>[2,4,6,7,8,5,1,3]=>[5,2,1,4,8,6,7,3]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,2,1,3]=>[2,5,8,7,4,6,1,3]=>[6,2,1,7,5,4,8,3]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[7,8,5,4,6,2,1,3]=>[2,5,7,8,4,6,1,3]=>[6,2,1,8,5,4,7,3]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,2,1,3]=>[2,4,5,8,7,6,1,3]=>[6,2,1,4,5,7,8,3]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,2,1,3]=>[2,6,8,5,4,7,1,3]=>[7,2,1,5,8,6,4,3]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,2,1,3]=>[2,4,6,8,5,7,1,3]=>[7,2,1,4,8,6,5,3]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[8,4,5,6,7,2,1,3]=>[2,4,5,6,8,7,1,3]=>[7,2,1,4,5,6,8,3]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,2,1,3]=>[2,7,6,5,4,8,1,3]=>[8,2,1,5,6,7,4,3]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,2,1,3]=>[2,6,7,5,4,8,1,3]=>[8,2,1,5,7,6,4,3]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,2,1,3]=>[2,5,7,6,4,8,1,3]=>[8,2,1,6,5,7,4,3]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,2,1,3]=>[2,6,5,7,4,8,1,3]=>[8,2,1,7,6,5,4,3]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,2,1,3]=>[2,5,6,7,4,8,1,3]=>[8,2,1,7,5,6,4,3]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,2,1,3]=>[2,4,7,6,5,8,1,3]=>[8,2,1,4,6,7,5,3]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,2,1,3]=>[2,4,6,7,5,8,1,3]=>[8,2,1,4,7,6,5,3]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,2,1,3]=>[2,5,7,4,6,8,1,3]=>[8,2,1,7,5,4,6,3]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,2,1,3]=>[2,4,5,7,6,8,1,3]=>[8,2,1,4,5,7,6,3]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,2,1,3]=>[2,6,5,4,7,8,1,3]=>[8,2,1,5,6,4,7,3]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,2,1,3]=>[2,5,6,4,7,8,1,3]=>[8,2,1,6,5,4,7,3]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,2,1,3]=>[2,5,4,6,7,8,1,3]=>[8,2,1,5,4,6,7,3]
[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,2,1,3]=>[2,4,5,6,7,8,1,3]=>[8,2,1,4,5,6,7,3]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,1,2,3]=>[1,2,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,3]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[7,8,6,5,4,1,2,3]=>[1,2,7,8,6,5,4,3]=>[1,2,4,5,6,8,7,3]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,1,2,3]=>[1,2,7,6,8,5,4,3]=>[1,2,4,5,8,7,6,3]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[1,2,6,7,8,5,4,3]=>[1,2,4,5,8,6,7,3]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,1,2,3]=>[1,2,5,7,8,6,4,3]=>[1,2,4,6,5,8,7,3]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[8,6,5,7,4,1,2,3]=>[1,2,6,8,5,7,4,3]=>[1,2,4,7,8,6,5,3]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,1,2,3]=>[1,2,5,6,8,7,4,3]=>[1,2,4,7,5,6,8,3]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,1,2,3]=>[1,2,7,6,5,8,4,3]=>[1,2,4,8,6,7,5,3]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,1,2,3]=>[1,2,6,7,5,8,4,3]=>[1,2,4,8,7,6,5,3]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,1,2,3]=>[1,2,5,7,6,8,4,3]=>[1,2,4,8,5,7,6,3]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,1,2,3]=>[1,2,6,5,7,8,4,3]=>[1,2,4,8,6,5,7,3]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[1,2,5,6,7,8,4,3]=>[1,2,4,8,5,6,7,3]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,1,2,3]=>[1,2,4,8,7,6,5,3]=>[1,2,5,4,6,7,8,3]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[7,8,6,4,5,1,2,3]=>[1,2,4,7,8,6,5,3]=>[1,2,5,4,6,8,7,3]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,1,2,3]=>[1,2,4,6,8,7,5,3]=>[1,2,5,4,7,6,8,3]
[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[6,7,8,4,5,1,2,3]=>[1,2,4,6,7,8,5,3]=>[1,2,5,4,8,6,7,3]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,1,2,3]=>[1,2,5,8,7,4,6,3]=>[1,2,6,7,5,4,8,3]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[7,8,5,4,6,1,2,3]=>[1,2,5,7,8,4,6,3]=>[1,2,6,8,5,4,7,3]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,1,2,3]=>[1,2,4,5,8,7,6,3]=>[1,2,6,4,5,7,8,3]
[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[7,8,4,5,6,1,2,3]=>[1,2,4,5,7,8,6,3]=>[1,2,6,4,5,8,7,3]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,1,2,3]=>[1,2,6,8,5,4,7,3]=>[1,2,7,5,8,6,4,3]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[8,5,6,4,7,1,2,3]=>[1,2,5,6,8,4,7,3]=>[1,2,7,8,5,6,4,3]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,1,2,3]=>[1,2,4,6,8,5,7,3]=>[1,2,7,4,8,6,5,3]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[8,5,4,6,7,1,2,3]=>[1,2,5,4,8,6,7,3]=>[1,2,7,5,4,8,6,3]
[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[8,4,5,6,7,1,2,3]=>[1,2,4,5,6,8,7,3]=>[1,2,7,4,5,6,8,3]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,1,2,3]=>[1,2,7,6,5,4,8,3]=>[1,2,8,5,6,7,4,3]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,1,2,3]=>[1,2,6,7,5,4,8,3]=>[1,2,8,5,7,6,4,3]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,1,2,3]=>[1,2,6,5,7,4,8,3]=>[1,2,8,7,6,5,4,3]
[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,1,2,3]=>[1,2,5,6,7,4,8,3]=>[1,2,8,7,5,6,4,3]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,1,2,3]=>[1,2,4,7,6,5,8,3]=>[1,2,8,4,6,7,5,3]
[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,1,2,3]=>[1,2,4,6,7,5,8,3]=>[1,2,8,4,7,6,5,3]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,1,2,3]=>[1,2,5,7,4,6,8,3]=>[1,2,8,7,5,4,6,3]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[1,2,6,5,4,7,8,3]=>[1,2,8,5,6,4,7,3]
[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,1,2,3]=>[1,2,5,6,4,7,8,3]=>[1,2,8,6,5,4,7,3]
[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,1,2,3]=>[1,2,5,4,6,7,8,3]=>[1,2,8,5,4,6,7,3]
[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[1,2,4,5,6,7,8,3]=>[1,2,8,4,5,6,7,3]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,2,1,4]=>[3,8,7,6,5,2,1,4]=>[2,5,3,1,6,7,8,4]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,2,1,4]=>[3,7,8,6,5,2,1,4]=>[2,5,3,1,6,8,7,4]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,2,1,4]=>[3,6,8,7,5,2,1,4]=>[2,5,3,1,7,6,8,4]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,2,1,4]=>[3,7,6,8,5,2,1,4]=>[2,5,3,1,8,7,6,4]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,2,1,4]=>[3,6,7,8,5,2,1,4]=>[2,5,3,1,8,6,7,4]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,2,1,4]=>[3,5,7,8,6,2,1,4]=>[2,6,3,1,5,8,7,4]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,2,1,4]=>[3,6,8,5,7,2,1,4]=>[2,7,3,1,8,6,5,4]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,2,1,4]=>[3,5,6,8,7,2,1,4]=>[2,7,3,1,5,6,8,4]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[3,7,6,5,8,2,1,4]=>[2,8,3,1,6,7,5,4]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,2,1,4]=>[3,6,7,5,8,2,1,4]=>[2,8,3,1,7,6,5,4]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,2,1,4]=>[3,5,7,6,8,2,1,4]=>[2,8,3,1,5,7,6,4]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,2,1,4]=>[3,6,5,7,8,2,1,4]=>[2,8,3,1,6,5,7,4]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[3,5,6,7,8,2,1,4]=>[2,8,3,1,5,6,7,4]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,3,1,4]=>[2,3,8,7,6,5,1,4]=>[5,2,3,1,6,7,8,4]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,3,1,4]=>[2,3,7,8,6,5,1,4]=>[5,2,3,1,6,8,7,4]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,3,1,4]=>[2,3,6,8,7,5,1,4]=>[5,2,3,1,7,6,8,4]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,3,1,4]=>[2,3,7,6,8,5,1,4]=>[5,2,3,1,8,7,6,4]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,3,1,4]=>[2,3,6,7,8,5,1,4]=>[5,2,3,1,8,6,7,4]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,3,1,4]=>[2,3,5,8,7,6,1,4]=>[6,2,3,1,5,7,8,4]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,3,1,4]=>[2,3,5,7,8,6,1,4]=>[6,2,3,1,5,8,7,4]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,3,1,4]=>[2,3,6,8,5,7,1,4]=>[7,2,3,1,8,6,5,4]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,3,1,4]=>[2,3,5,6,8,7,1,4]=>[7,2,3,1,5,6,8,4]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,3,1,4]=>[2,3,7,6,5,8,1,4]=>[8,2,3,1,6,7,5,4]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,3,1,4]=>[2,3,6,7,5,8,1,4]=>[8,2,3,1,7,6,5,4]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[2,3,5,7,6,8,1,4]=>[8,2,3,1,5,7,6,4]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,3,1,4]=>[2,3,6,5,7,8,1,4]=>[8,2,3,1,6,5,7,4]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[2,3,5,6,7,8,1,4]=>[8,2,3,1,5,6,7,4]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,1,2,4]=>[1,3,8,7,6,5,2,4]=>[1,5,3,2,6,7,8,4]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,1,2,4]=>[1,3,7,8,6,5,2,4]=>[1,5,3,2,6,8,7,4]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,1,2,4]=>[1,3,6,8,7,5,2,4]=>[1,5,3,2,7,6,8,4]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,1,2,4]=>[1,3,7,6,8,5,2,4]=>[1,5,3,2,8,7,6,4]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,1,2,4]=>[1,3,6,7,8,5,2,4]=>[1,5,3,2,8,6,7,4]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,1,2,4]=>[1,3,5,8,7,6,2,4]=>[1,6,3,2,5,7,8,4]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,1,2,4]=>[1,3,5,7,8,6,2,4]=>[1,6,3,2,5,8,7,4]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,1,2,4]=>[1,3,6,8,5,7,2,4]=>[1,7,3,2,8,6,5,4]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,1,2,4]=>[1,3,5,6,8,7,2,4]=>[1,7,3,2,5,6,8,4]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,1,2,4]=>[1,3,7,6,5,8,2,4]=>[1,8,3,2,6,7,5,4]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[1,3,6,7,5,8,2,4]=>[1,8,3,2,7,6,5,4]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,1,2,4]=>[1,3,5,7,6,8,2,4]=>[1,8,3,2,5,7,6,4]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,1,2,4]=>[1,3,6,5,7,8,2,4]=>[1,8,3,2,6,5,7,4]
[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[1,3,5,6,7,8,2,4]=>[1,8,3,2,5,6,7,4]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,1,3,4]=>[2,1,8,7,6,5,3,4]=>[2,1,5,3,6,7,8,4]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,1,3,4]=>[2,1,7,8,6,5,3,4]=>[2,1,5,3,6,8,7,4]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,1,3,4]=>[2,1,6,8,7,5,3,4]=>[2,1,5,3,7,6,8,4]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,1,3,4]=>[2,1,7,6,8,5,3,4]=>[2,1,5,3,8,7,6,4]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,1,3,4]=>[2,1,6,7,8,5,3,4]=>[2,1,5,3,8,6,7,4]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,1,3,4]=>[2,1,5,8,7,6,3,4]=>[2,1,6,3,5,7,8,4]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[2,1,5,7,8,6,3,4]=>[2,1,6,3,5,8,7,4]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,1,3,4]=>[2,1,6,8,5,7,3,4]=>[2,1,7,3,8,6,5,4]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,1,3,4]=>[2,1,5,6,8,7,3,4]=>[2,1,7,3,5,6,8,4]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,1,3,4]=>[2,1,7,6,5,8,3,4]=>[2,1,8,3,6,7,5,4]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,1,3,4]=>[2,1,6,7,5,8,3,4]=>[2,1,8,3,7,6,5,4]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,1,3,4]=>[2,1,5,7,6,8,3,4]=>[2,1,8,3,5,7,6,4]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[2,1,6,5,7,8,3,4]=>[2,1,8,3,6,5,7,4]
[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[2,1,5,6,7,8,3,4]=>[2,1,8,3,5,6,7,4]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[1,2,3,7,8,6,5,4]=>[1,2,3,5,6,8,7,4]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[1,2,3,6,8,7,5,4]=>[1,2,3,5,7,6,8,4]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[1,2,3,7,6,8,5,4]=>[1,2,3,5,8,7,6,4]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[1,2,3,6,7,8,5,4]=>[1,2,3,5,8,6,7,4]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[1,2,3,5,8,7,6,4]=>[1,2,3,6,5,7,8,4]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[1,2,3,5,7,8,6,4]=>[1,2,3,6,5,8,7,4]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[1,2,3,6,8,5,7,4]=>[1,2,3,7,8,6,5,4]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[1,2,3,5,6,8,7,4]=>[1,2,3,7,5,6,8,4]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,7,5,4]
[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,7,6,5,4]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,5,7,6,4]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,6,5,7,4]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,5,6,7,4]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[4,8,7,6,3,2,1,5]=>[2,3,6,4,1,7,8,5]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[7,8,6,4,3,2,1,5]=>[4,7,8,6,3,2,1,5]=>[2,3,6,4,1,8,7,5]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[8,6,7,4,3,2,1,5]=>[4,6,8,7,3,2,1,5]=>[2,3,7,4,1,6,8,5]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[7,6,8,4,3,2,1,5]=>[4,7,6,8,3,2,1,5]=>[2,3,8,4,1,7,6,5]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[6,7,8,4,3,2,1,5]=>[4,6,7,8,3,2,1,5]=>[2,3,8,4,1,6,7,5]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[8,7,6,3,4,2,1,5]=>[3,4,8,7,6,2,1,5]=>[2,6,3,4,1,7,8,5]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[7,8,6,3,4,2,1,5]=>[3,4,7,8,6,2,1,5]=>[2,6,3,4,1,8,7,5]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[8,6,7,3,4,2,1,5]=>[3,4,6,8,7,2,1,5]=>[2,7,3,4,1,6,8,5]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[6,7,8,3,4,2,1,5]=>[3,4,6,7,8,2,1,5]=>[2,8,3,4,1,6,7,5]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,2,3,1,5]=>[2,4,8,7,6,3,1,5]=>[3,2,6,4,1,7,8,5]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[7,8,6,4,2,3,1,5]=>[2,4,7,8,6,3,1,5]=>[3,2,6,4,1,8,7,5]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[8,6,7,4,2,3,1,5]=>[2,4,6,8,7,3,1,5]=>[3,2,7,4,1,6,8,5]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,2,3,1,5]=>[2,4,7,6,8,3,1,5]=>[3,2,8,4,1,7,6,5]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,2,3,1,5]=>[2,4,6,7,8,3,1,5]=>[3,2,8,4,1,6,7,5]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[8,7,6,3,2,4,1,5]=>[3,2,8,7,6,4,1,5]=>[4,3,2,6,1,7,8,5]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[8,6,7,3,2,4,1,5]=>[3,2,6,8,7,4,1,5]=>[4,3,2,7,1,6,8,5]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[7,6,8,3,2,4,1,5]=>[3,2,7,6,8,4,1,5]=>[4,3,2,8,1,7,6,5]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[6,7,8,3,2,4,1,5]=>[3,2,6,7,8,4,1,5]=>[4,3,2,8,1,6,7,5]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[8,7,6,2,3,4,1,5]=>[2,3,4,8,7,6,1,5]=>[6,2,3,4,1,7,8,5]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[7,8,6,2,3,4,1,5]=>[2,3,4,7,8,6,1,5]=>[6,2,3,4,1,8,7,5]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[8,6,7,2,3,4,1,5]=>[2,3,4,6,8,7,1,5]=>[7,2,3,4,1,6,8,5]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[7,6,8,2,3,4,1,5]=>[2,3,4,7,6,8,1,5]=>[8,2,3,4,1,7,6,5]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[2,3,4,6,7,8,1,5]=>[8,2,3,4,1,6,7,5]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,1,2,5]=>[1,4,8,7,6,3,2,5]=>[1,3,6,4,2,7,8,5]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[7,8,6,4,3,1,2,5]=>[1,4,7,8,6,3,2,5]=>[1,3,6,4,2,8,7,5]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[8,6,7,4,3,1,2,5]=>[1,4,6,8,7,3,2,5]=>[1,3,7,4,2,6,8,5]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,3,1,2,5]=>[1,4,7,6,8,3,2,5]=>[1,3,8,4,2,7,6,5]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,3,1,2,5]=>[1,4,6,7,8,3,2,5]=>[1,3,8,4,2,6,7,5]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[8,7,6,3,4,1,2,5]=>[1,3,4,8,7,6,2,5]=>[1,6,3,4,2,7,8,5]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[7,8,6,3,4,1,2,5]=>[1,3,4,7,8,6,2,5]=>[1,6,3,4,2,8,7,5]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[7,6,8,3,4,1,2,5]=>[1,3,4,7,6,8,2,5]=>[1,8,3,4,2,7,6,5]
[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[6,7,8,3,4,1,2,5]=>[1,3,4,6,7,8,2,5]=>[1,8,3,4,2,6,7,5]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[2,4,8,7,6,1,3,5]=>[6,2,1,4,3,7,8,5]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,2,1,3,5]=>[2,4,7,8,6,1,3,5]=>[6,2,1,4,3,8,7,5]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,2,1,3,5]=>[2,4,6,8,7,1,3,5]=>[7,2,1,4,3,6,8,5]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,2,1,3,5]=>[2,4,7,6,8,1,3,5]=>[8,2,1,4,3,7,6,5]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,2,1,3,5]=>[2,4,6,7,8,1,3,5]=>[8,2,1,4,3,6,7,5]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,1,2,3,5]=>[1,2,4,8,7,6,3,5]=>[1,2,6,4,3,7,8,5]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,1,2,3,5]=>[1,2,4,7,8,6,3,5]=>[1,2,6,4,3,8,7,5]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,1,2,3,5]=>[1,2,4,6,8,7,3,5]=>[1,2,7,4,3,6,8,5]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,1,2,3,5]=>[1,2,4,7,6,8,3,5]=>[1,2,8,4,3,7,6,5]
[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[1,2,4,6,7,8,3,5]=>[1,2,8,4,3,6,7,5]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[8,7,6,3,2,1,4,5]=>[3,2,8,7,6,1,4,5]=>[6,3,2,1,4,7,8,5]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[7,8,6,3,2,1,4,5]=>[3,2,7,8,6,1,4,5]=>[6,3,2,1,4,8,7,5]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[8,6,7,3,2,1,4,5]=>[3,2,6,8,7,1,4,5]=>[7,3,2,1,4,6,8,5]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[7,6,8,3,2,1,4,5]=>[3,2,7,6,8,1,4,5]=>[8,3,2,1,4,7,6,5]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[6,7,8,3,2,1,4,5]=>[3,2,6,7,8,1,4,5]=>[8,3,2,1,4,6,7,5]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[8,7,6,2,3,1,4,5]=>[2,3,1,8,7,6,4,5]=>[3,2,1,6,4,7,8,5]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[7,8,6,2,3,1,4,5]=>[2,3,1,7,8,6,4,5]=>[3,2,1,6,4,8,7,5]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>[8,6,7,2,3,1,4,5]=>[2,3,1,6,8,7,4,5]=>[3,2,1,7,4,6,8,5]
[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[6,7,8,2,3,1,4,5]=>[2,3,1,6,7,8,4,5]=>[3,2,1,8,4,6,7,5]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[8,7,6,3,1,2,4,5]=>[1,3,2,8,7,6,4,5]=>[1,3,2,6,4,7,8,5]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[8,6,7,3,1,2,4,5]=>[1,3,2,6,8,7,4,5]=>[1,3,2,7,4,6,8,5]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[7,6,8,3,1,2,4,5]=>[1,3,2,7,6,8,4,5]=>[1,3,2,8,4,7,6,5]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[6,7,8,3,1,2,4,5]=>[1,3,2,6,7,8,4,5]=>[1,3,2,8,4,6,7,5]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[8,7,6,2,1,3,4,5]=>[2,1,3,8,7,6,4,5]=>[2,1,3,6,4,7,8,5]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[7,8,6,2,1,3,4,5]=>[2,1,3,7,8,6,4,5]=>[2,1,3,6,4,8,7,5]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[8,6,7,2,1,3,4,5]=>[2,1,3,6,8,7,4,5]=>[2,1,3,7,4,6,8,5]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[2,1,3,6,7,8,4,5]=>[2,1,3,8,4,6,7,5]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[1,2,3,4,7,8,6,5]=>[1,2,3,4,6,8,7,5]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,7,6,8,5]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,7,6,5]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,6,7,5]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[8,7,5,4,3,2,1,6]=>[5,8,7,4,3,2,1,6]=>[2,3,4,7,5,1,8,6]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[7,8,5,4,3,2,1,6]=>[5,7,8,4,3,2,1,6]=>[2,3,4,8,5,1,7,6]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[8,7,4,5,3,2,1,6]=>[4,5,8,7,3,2,1,6]=>[2,3,7,4,5,1,8,6]
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>[7,8,4,5,3,2,1,6]=>[4,5,7,8,3,2,1,6]=>[2,3,8,4,5,1,7,6]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[8,7,4,3,5,2,1,6]=>[4,3,8,7,5,2,1,6]=>[2,5,4,3,7,1,8,6]
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[7,8,4,3,5,2,1,6]=>[4,3,7,8,5,2,1,6]=>[2,5,4,3,8,1,7,6]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[8,7,3,4,5,2,1,6]=>[3,4,5,8,7,2,1,6]=>[2,7,3,4,5,1,8,6]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[7,8,3,4,5,2,1,6]=>[3,4,5,7,8,2,1,6]=>[2,8,3,4,5,1,7,6]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[8,7,4,5,2,3,1,6]=>[2,4,5,8,7,3,1,6]=>[3,2,7,4,5,1,8,6]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,2,3,1,6]=>[2,4,5,7,8,3,1,6]=>[3,2,8,4,5,1,7,6]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[8,7,5,3,2,4,1,6]=>[3,5,8,7,2,4,1,6]=>[4,7,3,2,5,1,8,6]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[7,8,5,3,2,4,1,6]=>[3,5,7,8,2,4,1,6]=>[4,8,3,2,5,1,7,6]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[8,7,5,2,3,4,1,6]=>[2,3,5,8,7,4,1,6]=>[4,2,3,7,5,1,8,6]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[7,8,5,2,3,4,1,6]=>[2,3,5,7,8,4,1,6]=>[4,2,3,8,5,1,7,6]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[8,7,4,3,2,5,1,6]=>[4,3,8,7,2,5,1,6]=>[5,7,4,3,2,1,8,6]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[7,8,4,3,2,5,1,6]=>[4,3,7,8,2,5,1,6]=>[5,8,4,3,2,1,7,6]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[8,7,3,4,2,5,1,6]=>[3,4,2,8,7,5,1,6]=>[5,4,3,2,7,1,8,6]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[7,8,3,4,2,5,1,6]=>[3,4,2,7,8,5,1,6]=>[5,4,3,2,8,1,7,6]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[8,7,4,2,3,5,1,6]=>[2,4,3,8,7,5,1,6]=>[5,2,4,3,7,1,8,6]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>[7,8,4,2,3,5,1,6]=>[2,4,3,7,8,5,1,6]=>[5,2,4,3,8,1,7,6]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[8,7,2,3,4,5,1,6]=>[2,3,4,5,8,7,1,6]=>[7,2,3,4,5,1,8,6]
[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[7,8,2,3,4,5,1,6]=>[2,3,4,5,7,8,1,6]=>[8,2,3,4,5,1,7,6]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,3,1,2,6]=>[1,5,8,7,4,3,2,6]=>[1,3,4,7,5,2,8,6]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[7,8,5,4,3,1,2,6]=>[1,5,7,8,4,3,2,6]=>[1,3,4,8,5,2,7,6]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[7,8,5,3,4,1,2,6]=>[1,3,5,7,8,4,2,6]=>[1,4,3,8,5,2,7,6]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[7,8,4,3,5,1,2,6]=>[1,4,3,7,8,5,2,6]=>[1,5,4,3,8,2,7,6]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[8,7,3,4,5,1,2,6]=>[1,3,4,5,8,7,2,6]=>[1,7,3,4,5,2,8,6]
[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[7,8,3,4,5,1,2,6]=>[1,3,4,5,7,8,2,6]=>[1,8,3,4,5,2,7,6]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[8,7,5,4,2,1,3,6]=>[2,5,8,7,4,1,3,6]=>[4,2,1,7,5,3,8,6]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>[2,5,7,8,4,1,3,6]=>[4,2,1,8,5,3,7,6]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[7,8,4,5,2,1,3,6]=>[2,4,5,7,8,1,3,6]=>[8,2,1,4,5,3,7,6]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[8,7,5,4,1,2,3,6]=>[1,2,5,8,7,4,3,6]=>[1,2,4,7,5,3,8,6]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,1,2,3,6]=>[1,2,5,7,8,4,3,6]=>[1,2,4,8,5,3,7,6]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[8,7,4,5,1,2,3,6]=>[1,2,4,5,8,7,3,6]=>[1,2,7,4,5,3,8,6]
[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[7,8,4,5,1,2,3,6]=>[1,2,4,5,7,8,3,6]=>[1,2,8,4,5,3,7,6]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[8,7,5,3,2,1,4,6]=>[3,5,8,7,2,1,4,6]=>[2,7,3,1,5,4,8,6]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[7,8,5,3,2,1,4,6]=>[3,5,7,8,2,1,4,6]=>[2,8,3,1,5,4,7,6]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[8,7,5,2,3,1,4,6]=>[2,3,5,8,7,1,4,6]=>[7,2,3,1,5,4,8,6]
[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[7,8,5,2,3,1,4,6]=>[2,3,5,7,8,1,4,6]=>[8,2,3,1,5,4,7,6]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[8,7,5,3,1,2,4,6]=>[1,3,5,8,7,2,4,6]=>[1,7,3,2,5,4,8,6]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[7,8,5,3,1,2,4,6]=>[1,3,5,7,8,2,4,6]=>[1,8,3,2,5,4,7,6]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[2,1,5,8,7,3,4,6]=>[2,1,7,3,5,4,8,6]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[2,1,5,7,8,3,4,6]=>[2,1,8,3,5,4,7,6]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[1,2,3,5,8,7,4,6]=>[1,2,3,7,5,4,8,6]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[1,2,3,5,7,8,4,6]=>[1,2,3,8,5,4,7,6]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[8,7,4,3,2,1,5,6]=>[4,3,8,7,2,1,5,6]=>[2,7,4,3,1,5,8,6]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[7,8,4,3,2,1,5,6]=>[4,3,7,8,2,1,5,6]=>[2,8,4,3,1,5,7,6]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[8,7,3,4,2,1,5,6]=>[3,4,2,8,7,1,5,6]=>[7,4,3,2,1,5,8,6]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[7,8,3,4,2,1,5,6]=>[3,4,2,7,8,1,5,6]=>[8,4,3,2,1,5,7,6]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[7,8,4,2,3,1,5,6]=>[2,4,3,7,8,1,5,6]=>[8,2,4,3,1,5,7,6]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[8,7,3,2,4,1,5,6]=>[3,2,4,8,7,1,5,6]=>[7,3,2,4,1,5,8,6]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[7,8,3,2,4,1,5,6]=>[3,2,4,7,8,1,5,6]=>[8,3,2,4,1,5,7,6]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[8,7,2,3,4,1,5,6]=>[2,3,4,1,8,7,5,6]=>[4,2,3,1,7,5,8,6]
[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[7,8,2,3,4,1,5,6]=>[2,3,4,1,7,8,5,6]=>[4,2,3,1,8,5,7,6]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[8,7,4,3,1,2,5,6]=>[1,4,3,8,7,2,5,6]=>[1,7,4,3,2,5,8,6]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[7,8,4,3,1,2,5,6]=>[1,4,3,7,8,2,5,6]=>[1,8,4,3,2,5,7,6]
[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[7,8,3,4,1,2,5,6]=>[1,3,4,2,7,8,5,6]=>[1,4,3,2,8,5,7,6]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[8,7,4,2,1,3,5,6]=>[2,4,1,8,7,3,5,6]=>[4,2,7,1,3,5,8,6]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[7,8,4,2,1,3,5,6]=>[2,4,1,7,8,3,5,6]=>[4,2,8,1,3,5,7,6]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[8,7,4,1,2,3,5,6]=>[1,2,4,3,8,7,5,6]=>[1,2,4,3,7,5,8,6]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[7,8,4,1,2,3,5,6]=>[1,2,4,3,7,8,5,6]=>[1,2,4,3,8,5,7,6]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[8,7,3,2,1,4,5,6]=>[3,2,1,8,7,4,5,6]=>[2,3,1,7,4,5,8,6]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[3,2,1,7,8,4,5,6]=>[2,3,1,8,4,5,7,6]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>[8,7,2,3,1,4,5,6]=>[2,3,1,4,8,7,5,6]=>[3,2,1,4,7,5,8,6]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[7,8,2,3,1,4,5,6]=>[2,3,1,4,7,8,5,6]=>[3,2,1,4,8,5,7,6]
[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[7,8,3,1,2,4,5,6]=>[1,3,2,4,7,8,5,6]=>[1,3,2,4,8,5,7,6]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[8,7,2,1,3,4,5,6]=>[2,1,3,4,8,7,5,6]=>[2,1,3,4,7,5,8,6]
[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[7,8,2,1,3,4,5,6]=>[2,1,3,4,7,8,5,6]=>[2,1,3,4,8,5,7,6]
[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,8,6]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,7,6]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[8,6,5,4,3,2,1,7]=>[6,8,5,4,3,2,1,7]=>[2,3,4,5,8,6,1,7]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[8,5,6,4,3,2,1,7]=>[5,6,8,4,3,2,1,7]=>[2,3,4,8,5,6,1,7]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[8,6,4,5,3,2,1,7]=>[4,6,8,5,3,2,1,7]=>[2,3,5,4,8,6,1,7]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[8,5,4,6,3,2,1,7]=>[5,4,8,6,3,2,1,7]=>[2,3,6,5,4,8,1,7]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[4,5,6,8,3,2,1,7]=>[2,3,8,4,5,6,1,7]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[8,6,5,3,4,2,1,7]=>[3,6,8,5,4,2,1,7]=>[2,4,3,5,8,6,1,7]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[8,5,6,3,4,2,1,7]=>[3,5,6,8,4,2,1,7]=>[2,4,3,8,5,6,1,7]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[8,6,4,3,5,2,1,7]=>[4,6,8,3,5,2,1,7]=>[2,5,8,4,3,6,1,7]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[8,5,4,3,6,2,1,7]=>[5,4,8,3,6,2,1,7]=>[2,6,8,5,4,3,1,7]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[8,4,5,3,6,2,1,7]=>[4,5,3,8,6,2,1,7]=>[2,6,5,4,3,8,1,7]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>[8,4,3,5,6,2,1,7]=>[4,3,5,8,6,2,1,7]=>[2,6,4,3,5,8,1,7]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[8,3,4,5,6,2,1,7]=>[3,4,5,6,8,2,1,7]=>[2,8,3,4,5,6,1,7]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,2,3,1,7]=>[2,6,8,5,4,3,1,7]=>[3,2,4,5,8,6,1,7]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[8,5,6,4,2,3,1,7]=>[2,5,6,8,4,3,1,7]=>[3,2,4,8,5,6,1,7]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,2,3,1,7]=>[2,4,6,8,5,3,1,7]=>[3,2,5,4,8,6,1,7]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>[8,4,5,6,2,3,1,7]=>[2,4,5,6,8,3,1,7]=>[3,2,8,4,5,6,1,7]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[8,6,5,3,2,4,1,7]=>[3,6,8,5,2,4,1,7]=>[4,5,3,2,8,6,1,7]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[8,5,6,2,3,4,1,7]=>[2,3,5,6,8,4,1,7]=>[4,2,3,8,5,6,1,7]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[8,6,4,3,2,5,1,7]=>[4,6,8,3,2,5,1,7]=>[5,3,8,4,2,6,1,7]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[8,6,3,4,2,5,1,7]=>[3,4,6,8,2,5,1,7]=>[5,8,3,4,2,6,1,7]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[8,6,4,2,3,5,1,7]=>[2,4,6,8,3,5,1,7]=>[5,2,8,4,3,6,1,7]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[8,5,4,3,2,6,1,7]=>[5,4,8,3,2,6,1,7]=>[6,3,8,5,4,2,1,7]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[8,4,5,3,2,6,1,7]=>[4,5,3,8,2,6,1,7]=>[6,8,5,4,3,2,1,7]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>[8,5,3,4,2,6,1,7]=>[3,5,4,8,2,6,1,7]=>[6,8,3,5,4,2,1,7]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[8,4,3,5,2,6,1,7]=>[4,3,5,8,2,6,1,7]=>[6,8,4,3,5,2,1,7]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[8,3,4,5,2,6,1,7]=>[3,4,5,2,8,6,1,7]=>[6,5,3,4,2,8,1,7]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>[8,5,4,2,3,6,1,7]=>[2,5,4,8,3,6,1,7]=>[6,2,8,5,4,3,1,7]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>[8,4,5,2,3,6,1,7]=>[2,4,5,3,8,6,1,7]=>[6,2,5,4,3,8,1,7]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[8,5,3,2,4,6,1,7]=>[3,5,2,8,4,6,1,7]=>[6,5,3,8,2,4,1,7]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>[8,5,2,3,4,6,1,7]=>[2,3,5,4,8,6,1,7]=>[6,2,3,5,4,8,1,7]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[8,4,3,2,5,6,1,7]=>[4,3,2,8,5,6,1,7]=>[6,3,4,2,8,5,1,7]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[8,3,4,2,5,6,1,7]=>[3,4,2,5,8,6,1,7]=>[6,4,3,2,5,8,1,7]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>[8,4,2,3,5,6,1,7]=>[2,4,3,5,8,6,1,7]=>[6,2,4,3,5,8,1,7]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>[8,3,2,4,5,6,1,7]=>[3,2,4,5,8,6,1,7]=>[6,3,2,4,5,8,1,7]
[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[8,2,3,4,5,6,1,7]=>[2,3,4,5,6,8,1,7]=>[8,2,3,4,5,6,1,7]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,3,1,2,7]=>[1,6,8,5,4,3,2,7]=>[1,3,4,5,8,6,2,7]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,3,1,2,7]=>[1,4,6,8,5,3,2,7]=>[1,3,5,4,8,6,2,7]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>[8,5,4,6,3,1,2,7]=>[1,5,4,8,6,3,2,7]=>[1,3,6,5,4,8,2,7]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[8,6,5,3,4,1,2,7]=>[1,3,6,8,5,4,2,7]=>[1,4,3,5,8,6,2,7]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[1,3,5,6,8,4,2,7]=>[1,4,3,8,5,6,2,7]
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[8,6,4,3,5,1,2,7]=>[1,4,6,8,3,5,2,7]=>[1,5,8,4,3,6,2,7]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[8,6,3,4,5,1,2,7]=>[1,3,4,6,8,5,2,7]=>[1,5,3,4,8,6,2,7]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>[8,5,4,3,6,1,2,7]=>[1,5,4,8,3,6,2,7]=>[1,6,8,5,4,3,2,7]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[8,4,5,3,6,1,2,7]=>[1,4,5,3,8,6,2,7]=>[1,6,5,4,3,8,2,7]
[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>[8,5,3,4,6,1,2,7]=>[1,3,5,4,8,6,2,7]=>[1,6,3,5,4,8,2,7]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[8,4,3,5,6,1,2,7]=>[1,4,3,5,8,6,2,7]=>[1,6,4,3,5,8,2,7]
[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[8,3,4,5,6,1,2,7]=>[1,3,4,5,6,8,2,7]=>[1,8,3,4,5,6,2,7]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,2,1,3,7]=>[2,6,8,5,4,1,3,7]=>[4,2,1,5,8,6,3,7]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[8,6,4,5,2,1,3,7]=>[2,4,6,8,5,1,3,7]=>[5,2,1,4,8,6,3,7]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[8,5,4,6,2,1,3,7]=>[2,5,4,8,6,1,3,7]=>[6,2,1,5,4,8,3,7]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[8,4,5,6,2,1,3,7]=>[2,4,5,6,8,1,3,7]=>[8,2,1,4,5,6,3,7]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,1,2,3,7]=>[1,2,6,8,5,4,3,7]=>[1,2,4,5,8,6,3,7]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,1,2,3,7]=>[1,2,5,6,8,4,3,7]=>[1,2,4,8,5,6,3,7]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[8,6,4,5,1,2,3,7]=>[1,2,4,6,8,5,3,7]=>[1,2,5,4,8,6,3,7]
[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[8,5,4,6,1,2,3,7]=>[1,2,5,4,8,6,3,7]=>[1,2,6,5,4,8,3,7]
[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[8,4,5,6,1,2,3,7]=>[1,2,4,5,6,8,3,7]=>[1,2,8,4,5,6,3,7]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[8,6,5,3,2,1,4,7]=>[3,6,8,5,2,1,4,7]=>[2,5,3,1,8,6,4,7]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[8,5,6,3,2,1,4,7]=>[3,5,6,8,2,1,4,7]=>[2,8,3,1,5,6,4,7]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[8,6,5,2,3,1,4,7]=>[2,3,6,8,5,1,4,7]=>[5,2,3,1,8,6,4,7]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[2,3,5,6,8,1,4,7]=>[8,2,3,1,5,6,4,7]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[8,6,5,3,1,2,4,7]=>[1,3,6,8,5,2,4,7]=>[1,5,3,2,8,6,4,7]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[8,5,6,3,1,2,4,7]=>[1,3,5,6,8,2,4,7]=>[1,8,3,2,5,6,4,7]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[8,6,5,2,1,3,4,7]=>[2,1,6,8,5,3,4,7]=>[2,1,5,3,8,6,4,7]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[8,5,6,2,1,3,4,7]=>[2,1,5,6,8,3,4,7]=>[2,1,8,3,5,6,4,7]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[8,6,5,1,2,3,4,7]=>[1,2,3,6,8,5,4,7]=>[1,2,3,5,8,6,4,7]
[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[8,5,6,1,2,3,4,7]=>[1,2,3,5,6,8,4,7]=>[1,2,3,8,5,6,4,7]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>[4,6,8,3,2,1,5,7]=>[2,3,8,4,1,6,5,7]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[3,4,6,8,2,1,5,7]=>[2,8,3,4,1,6,5,7]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[8,6,4,2,3,1,5,7]=>[2,4,6,8,3,1,5,7]=>[3,2,8,4,1,6,5,7]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[8,6,3,2,4,1,5,7]=>[3,2,6,8,4,1,5,7]=>[4,3,2,8,1,6,5,7]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[8,6,2,3,4,1,5,7]=>[2,3,4,6,8,1,5,7]=>[8,2,3,4,1,6,5,7]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[8,6,4,3,1,2,5,7]=>[1,4,6,8,3,2,5,7]=>[1,3,8,4,2,6,5,7]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[8,6,3,4,1,2,5,7]=>[1,3,4,6,8,2,5,7]=>[1,8,3,4,2,6,5,7]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[2,4,6,8,1,3,5,7]=>[8,2,1,4,3,6,5,7]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[8,6,4,1,2,3,5,7]=>[1,2,4,6,8,3,5,7]=>[1,2,8,4,3,6,5,7]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[8,6,3,2,1,4,5,7]=>[3,2,6,8,1,4,5,7]=>[8,3,2,1,4,6,5,7]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[8,6,2,3,1,4,5,7]=>[2,3,1,6,8,4,5,7]=>[3,2,1,8,4,6,5,7]
[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[8,6,1,2,3,4,5,7]=>[1,2,3,4,6,8,5,7]=>[1,2,3,4,8,6,5,7]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[8,5,4,3,2,1,6,7]=>[5,4,8,3,2,1,6,7]=>[2,3,8,5,4,1,6,7]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[8,4,5,3,2,1,6,7]=>[4,5,3,8,2,1,6,7]=>[2,8,5,4,3,1,6,7]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[8,4,3,5,2,1,6,7]=>[4,3,5,8,2,1,6,7]=>[2,8,4,3,5,1,6,7]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[8,3,4,5,2,1,6,7]=>[3,4,5,2,8,1,6,7]=>[8,5,3,4,2,1,6,7]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[8,5,4,2,3,1,6,7]=>[2,5,4,8,3,1,6,7]=>[3,2,8,5,4,1,6,7]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[8,4,5,2,3,1,6,7]=>[2,4,5,3,8,1,6,7]=>[8,2,5,4,3,1,6,7]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[8,5,3,2,4,1,6,7]=>[3,5,2,8,4,1,6,7]=>[4,8,3,5,1,2,6,7]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[8,5,2,3,4,1,6,7]=>[2,3,5,4,8,1,6,7]=>[8,2,3,5,4,1,6,7]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>[8,4,2,3,5,1,6,7]=>[2,4,3,5,8,1,6,7]=>[8,2,4,3,5,1,6,7]
[[[.,[[[.,[.,.]],.],.]],.],[.,.]]=>[8,3,2,4,5,1,6,7]=>[3,2,4,5,8,1,6,7]=>[8,3,2,4,5,1,6,7]
[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>[8,2,3,4,5,1,6,7]=>[2,3,4,5,1,8,6,7]=>[5,2,3,4,1,8,6,7]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[8,5,4,3,1,2,6,7]=>[1,5,4,8,3,2,6,7]=>[1,3,8,5,4,2,6,7]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[8,5,3,4,1,2,6,7]=>[1,3,5,4,8,2,6,7]=>[1,8,3,5,4,2,6,7]
[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>[8,4,3,5,1,2,6,7]=>[1,4,3,5,8,2,6,7]=>[1,8,4,3,5,2,6,7]
[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>[8,3,4,5,1,2,6,7]=>[1,3,4,5,2,8,6,7]=>[1,5,3,4,2,8,6,7]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[8,5,4,2,1,3,6,7]=>[2,5,4,8,1,3,6,7]=>[8,2,1,5,4,3,6,7]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[8,4,5,2,1,3,6,7]=>[2,4,5,1,8,3,6,7]=>[5,2,8,4,1,3,6,7]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[8,5,4,1,2,3,6,7]=>[1,2,5,4,8,3,6,7]=>[1,2,8,5,4,3,6,7]
[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[8,4,5,1,2,3,6,7]=>[1,2,4,5,3,8,6,7]=>[1,2,5,4,3,8,6,7]
[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>[8,5,2,3,1,4,6,7]=>[2,3,5,1,8,4,6,7]=>[5,2,3,8,1,4,6,7]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[8,5,3,1,2,4,6,7]=>[1,3,5,2,8,4,6,7]=>[1,5,3,8,2,4,6,7]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[8,5,2,1,3,4,6,7]=>[2,1,5,3,8,4,6,7]=>[2,1,5,8,3,4,6,7]
[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[8,5,1,2,3,4,6,7]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,8,6,7]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[8,4,3,2,1,5,6,7]=>[4,3,2,8,1,5,6,7]=>[8,3,4,2,1,5,6,7]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[8,3,4,2,1,5,6,7]=>[3,4,2,1,8,5,6,7]=>[2,4,3,1,8,5,6,7]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[8,4,2,3,1,5,6,7]=>[2,4,3,1,8,5,6,7]=>[3,2,4,1,8,5,6,7]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[8,3,2,4,1,5,6,7]=>[3,2,4,1,8,5,6,7]=>[4,3,2,1,8,5,6,7]
[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>[2,3,4,1,5,8,6,7]=>[4,2,3,1,5,8,6,7]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[8,4,3,1,2,5,6,7]=>[1,4,3,2,8,5,6,7]=>[1,3,4,2,8,5,6,7]
[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[8,3,4,1,2,5,6,7]=>[1,3,4,2,5,8,6,7]=>[1,4,3,2,5,8,6,7]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[8,4,2,1,3,5,6,7]=>[2,4,1,3,8,5,6,7]=>[4,2,1,3,8,5,6,7]
[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[8,4,1,2,3,5,6,7]=>[1,2,4,3,5,8,6,7]=>[1,2,4,3,5,8,6,7]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>[3,2,1,4,8,5,6,7]=>[2,3,1,4,8,5,6,7]
[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[8,2,3,1,4,5,6,7]=>[2,3,1,4,5,8,6,7]=>[3,2,1,4,5,8,6,7]
[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,8,6,7]
[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[8,2,1,3,4,5,6,7]=>[2,1,3,4,5,8,6,7]=>[2,1,3,4,5,8,6,7]
[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[6,7,5,4,3,2,1,8]=>[2,3,4,5,7,6,1,8]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[7,5,6,4,3,2,1,8]=>[5,7,6,4,3,2,1,8]=>[2,3,4,6,5,7,1,8]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[6,5,7,4,3,2,1,8]=>[2,3,4,7,6,5,1,8]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[5,6,7,4,3,2,1,8]=>[2,3,4,7,5,6,1,8]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>[4,7,6,5,3,2,1,8]=>[2,3,5,4,6,7,1,8]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>[6,7,4,5,3,2,1,8]=>[4,6,7,5,3,2,1,8]=>[2,3,5,4,7,6,1,8]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>[7,5,4,6,3,2,1,8]=>[5,7,4,6,3,2,1,8]=>[2,3,6,7,5,4,1,8]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[7,4,5,6,3,2,1,8]=>[4,5,7,6,3,2,1,8]=>[2,3,6,4,5,7,1,8]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[6,5,4,7,3,2,1,8]=>[2,3,7,5,6,4,1,8]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[5,6,4,7,3,2,1,8]=>[2,3,7,6,5,4,1,8]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>[6,4,5,7,3,2,1,8]=>[4,6,5,7,3,2,1,8]=>[2,3,7,4,6,5,1,8]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>[5,4,6,7,3,2,1,8]=>[5,4,6,7,3,2,1,8]=>[2,3,7,5,4,6,1,8]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[4,5,6,7,3,2,1,8]=>[2,3,7,4,5,6,1,8]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[7,6,5,3,4,2,1,8]=>[3,7,6,5,4,2,1,8]=>[2,4,3,5,6,7,1,8]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[7,5,6,3,4,2,1,8]=>[3,5,7,6,4,2,1,8]=>[2,4,3,6,5,7,1,8]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[5,6,7,3,4,2,1,8]=>[3,5,6,7,4,2,1,8]=>[2,4,3,7,5,6,1,8]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[7,6,4,3,5,2,1,8]=>[4,7,6,3,5,2,1,8]=>[2,5,6,4,3,7,1,8]
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>[6,7,4,3,5,2,1,8]=>[4,6,7,3,5,2,1,8]=>[2,5,7,4,3,6,1,8]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[7,6,3,4,5,2,1,8]=>[3,4,7,6,5,2,1,8]=>[2,5,3,4,6,7,1,8]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>[7,5,4,3,6,2,1,8]=>[5,7,4,3,6,2,1,8]=>[2,6,4,7,5,3,1,8]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[6,5,4,3,7,2,1,8]=>[2,7,4,5,6,3,1,8]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]=>[5,6,4,3,7,2,1,8]=>[5,6,4,3,7,2,1,8]=>[2,7,4,6,5,3,1,8]
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]=>[6,4,5,3,7,2,1,8]=>[4,6,5,3,7,2,1,8]=>[2,7,5,4,6,3,1,8]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[5,4,6,3,7,2,1,8]=>[2,7,6,5,4,3,1,8]
[[.,[.,[[.,[[[.,.],.],.]],.]]],.]=>[4,5,6,3,7,2,1,8]=>[4,5,6,3,7,2,1,8]=>[2,7,6,4,5,3,1,8]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]=>[6,5,3,4,7,2,1,8]=>[3,6,5,4,7,2,1,8]=>[2,7,3,5,6,4,1,8]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.]=>[5,6,3,4,7,2,1,8]=>[3,5,6,4,7,2,1,8]=>[2,7,3,6,5,4,1,8]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.]=>[6,4,3,5,7,2,1,8]=>[4,6,3,5,7,2,1,8]=>[2,7,6,4,3,5,1,8]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[5,4,3,6,7,2,1,8]=>[2,7,4,5,3,6,1,8]
[[.,[.,[[[.,[[.,.],.]],.],.]]],.]=>[4,5,3,6,7,2,1,8]=>[4,5,3,6,7,2,1,8]=>[2,7,5,4,3,6,1,8]
[[.,[.,[[[[.,[.,.]],.],.],.]]],.]=>[4,3,5,6,7,2,1,8]=>[4,3,5,6,7,2,1,8]=>[2,7,4,3,5,6,1,8]
[[.,[.,[[[[[.,.],.],.],.],.]]],.]=>[3,4,5,6,7,2,1,8]=>[3,4,5,6,7,2,1,8]=>[2,7,3,4,5,6,1,8]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[7,6,5,4,2,3,1,8]=>[2,7,6,5,4,3,1,8]=>[3,2,4,5,6,7,1,8]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>[6,7,5,4,2,3,1,8]=>[2,6,7,5,4,3,1,8]=>[3,2,4,5,7,6,1,8]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,2,3,1,8]=>[2,5,7,6,4,3,1,8]=>[3,2,4,6,5,7,1,8]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,2,3,1,8]=>[2,5,6,7,4,3,1,8]=>[3,2,4,7,5,6,1,8]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,2,3,1,8]=>[2,4,7,6,5,3,1,8]=>[3,2,5,4,6,7,1,8]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[6,7,4,5,2,3,1,8]=>[2,4,6,7,5,3,1,8]=>[3,2,5,4,7,6,1,8]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>[7,5,4,6,2,3,1,8]=>[2,5,7,4,6,3,1,8]=>[3,2,6,7,5,4,1,8]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,2,3,1,8]=>[2,4,5,7,6,3,1,8]=>[3,2,6,4,5,7,1,8]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[5,6,4,7,2,3,1,8]=>[2,5,6,4,7,3,1,8]=>[3,2,7,6,5,4,1,8]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,2,3,1,8]=>[2,5,4,6,7,3,1,8]=>[3,2,7,5,4,6,1,8]
[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[4,5,6,7,2,3,1,8]=>[2,4,5,6,7,3,1,8]=>[3,2,7,4,5,6,1,8]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[7,6,5,3,2,4,1,8]=>[3,7,6,5,2,4,1,8]=>[4,5,3,2,6,7,1,8]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[7,5,6,3,2,4,1,8]=>[3,5,7,6,2,4,1,8]=>[4,6,3,2,5,7,1,8]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[6,5,7,3,2,4,1,8]=>[3,6,5,7,2,4,1,8]=>[4,7,3,2,6,5,1,8]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[5,6,7,3,2,4,1,8]=>[3,5,6,7,2,4,1,8]=>[4,7,3,2,5,6,1,8]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[2,3,7,6,5,4,1,8]=>[4,2,3,5,6,7,1,8]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[6,7,5,2,3,4,1,8]=>[2,3,6,7,5,4,1,8]=>[4,2,3,5,7,6,1,8]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[7,5,6,2,3,4,1,8]=>[2,3,5,7,6,4,1,8]=>[4,2,3,6,5,7,1,8]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[6,5,7,2,3,4,1,8]=>[2,3,6,5,7,4,1,8]=>[4,2,3,7,6,5,1,8]
[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[5,6,7,2,3,4,1,8]=>[2,3,5,6,7,4,1,8]=>[4,2,3,7,5,6,1,8]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>[7,6,4,3,2,5,1,8]=>[4,7,6,3,2,5,1,8]=>[5,3,6,4,2,7,1,8]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[6,7,4,3,2,5,1,8]=>[4,6,7,3,2,5,1,8]=>[5,3,7,4,2,6,1,8]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[6,7,3,4,2,5,1,8]=>[3,4,6,7,2,5,1,8]=>[5,7,3,4,2,6,1,8]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>[6,7,4,2,3,5,1,8]=>[2,4,6,7,3,5,1,8]=>[5,2,7,4,3,6,1,8]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[7,6,3,2,4,5,1,8]=>[3,2,7,6,4,5,1,8]=>[5,3,2,6,4,7,1,8]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[6,7,3,2,4,5,1,8]=>[3,2,6,7,4,5,1,8]=>[5,3,2,7,4,6,1,8]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[7,6,2,3,4,5,1,8]=>[2,3,4,7,6,5,1,8]=>[5,2,3,4,6,7,1,8]
[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>[6,7,2,3,4,5,1,8]=>[2,3,4,6,7,5,1,8]=>[5,2,3,4,7,6,1,8]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[7,5,4,3,2,6,1,8]=>[5,7,4,3,2,6,1,8]=>[6,3,4,7,5,2,1,8]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[7,4,5,3,2,6,1,8]=>[4,5,7,3,2,6,1,8]=>[6,3,7,4,5,2,1,8]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[7,5,3,4,2,6,1,8]=>[3,5,7,4,2,6,1,8]=>[6,4,3,7,5,2,1,8]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[7,4,3,5,2,6,1,8]=>[4,3,7,5,2,6,1,8]=>[6,5,4,3,7,2,1,8]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>[7,4,5,2,3,6,1,8]=>[2,4,5,7,3,6,1,8]=>[6,2,7,4,5,3,1,8]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[7,5,3,2,4,6,1,8]=>[3,5,7,2,4,6,1,8]=>[6,7,3,2,5,4,1,8]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>[7,5,2,3,4,6,1,8]=>[2,3,5,7,4,6,1,8]=>[6,2,3,7,5,4,1,8]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[7,4,3,2,5,6,1,8]=>[4,3,7,2,5,6,1,8]=>[6,7,4,3,2,5,1,8]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>[7,4,2,3,5,6,1,8]=>[2,4,3,7,5,6,1,8]=>[6,2,4,3,7,5,1,8]
[[.,[[[[.,[.,.]],.],.],[.,.]]],.]=>[7,3,2,4,5,6,1,8]=>[3,2,4,7,5,6,1,8]=>[6,3,2,4,7,5,1,8]
[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>[7,2,3,4,5,6,1,8]=>[2,3,4,5,7,6,1,8]=>[6,2,3,4,5,7,1,8]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>[6,5,4,3,2,7,1,8]=>[6,5,4,3,2,7,1,8]=>[7,3,4,5,6,2,1,8]
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]=>[5,6,4,3,2,7,1,8]=>[5,6,4,3,2,7,1,8]=>[7,3,4,6,5,2,1,8]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>[5,4,6,3,2,7,1,8]=>[5,4,6,3,2,7,1,8]=>[7,3,6,5,4,2,1,8]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[5,6,3,4,2,7,1,8]=>[3,5,6,4,2,7,1,8]=>[7,4,3,6,5,2,1,8]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[6,4,3,5,2,7,1,8]=>[4,6,3,5,2,7,1,8]=>[7,5,6,4,3,2,1,8]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>[6,3,4,5,2,7,1,8]=>[3,4,6,5,2,7,1,8]=>[7,5,3,4,6,2,1,8]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[5,4,3,6,2,7,1,8]=>[5,4,3,6,2,7,1,8]=>[7,6,4,5,3,2,1,8]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[4,5,3,6,2,7,1,8]=>[7,6,5,4,3,2,1,8]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>[5,3,4,6,2,7,1,8]=>[3,5,4,6,2,7,1,8]=>[7,6,3,5,4,2,1,8]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.]=>[4,3,5,6,2,7,1,8]=>[4,3,5,6,2,7,1,8]=>[7,6,4,3,5,2,1,8]
[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[3,4,5,6,2,7,1,8]=>[7,6,3,4,5,2,1,8]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]=>[6,5,4,2,3,7,1,8]=>[2,6,5,4,3,7,1,8]=>[7,2,4,5,6,3,1,8]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>[6,4,5,2,3,7,1,8]=>[2,4,6,5,3,7,1,8]=>[7,2,5,4,6,3,1,8]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>[5,4,6,2,3,7,1,8]=>[2,5,4,6,3,7,1,8]=>[7,2,6,5,4,3,1,8]
[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>[4,5,6,2,3,7,1,8]=>[2,4,5,6,3,7,1,8]=>[7,2,6,4,5,3,1,8]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>[6,5,3,2,4,7,1,8]=>[3,6,5,2,4,7,1,8]=>[7,5,3,2,6,4,1,8]
[[.,[[[.,[.,.]],[[.,.],.]],.]],.]=>[5,6,3,2,4,7,1,8]=>[3,5,6,2,4,7,1,8]=>[7,6,3,2,5,4,1,8]
[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>[5,6,2,3,4,7,1,8]=>[2,3,5,6,4,7,1,8]=>[7,2,3,6,5,4,1,8]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>[6,3,4,2,5,7,1,8]=>[3,4,6,2,5,7,1,8]=>[7,6,3,4,2,5,1,8]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[6,4,2,3,5,7,1,8]=>[2,4,6,3,5,7,1,8]=>[7,2,6,4,3,5,1,8]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>[6,3,2,4,5,7,1,8]=>[3,2,6,4,5,7,1,8]=>[7,3,2,6,4,5,1,8]
[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[6,2,3,4,5,7,1,8]=>[2,3,4,6,5,7,1,8]=>[7,2,3,4,6,5,1,8]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[5,4,3,2,6,7,1,8]=>[7,3,4,5,2,6,1,8]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.]=>[4,5,3,2,6,7,1,8]=>[4,5,3,2,6,7,1,8]=>[7,3,5,4,2,6,1,8]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[5,3,4,2,6,7,1,8]=>[3,5,4,2,6,7,1,8]=>[7,4,3,5,2,6,1,8]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.]=>[4,3,5,2,6,7,1,8]=>[4,3,5,2,6,7,1,8]=>[7,5,4,3,2,6,1,8]
[[.,[[[.,[[[.,.],.],.]],.],.]],.]=>[3,4,5,2,6,7,1,8]=>[3,4,5,2,6,7,1,8]=>[7,5,3,4,2,6,1,8]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>[5,4,2,3,6,7,1,8]=>[2,5,4,3,6,7,1,8]=>[7,2,4,5,3,6,1,8]
[[.,[[[[.,.],[[.,.],.]],.],.]],.]=>[4,5,2,3,6,7,1,8]=>[2,4,5,3,6,7,1,8]=>[7,2,5,4,3,6,1,8]
[[.,[[[[[.,.],.],[.,.]],.],.]],.]=>[5,2,3,4,6,7,1,8]=>[2,3,5,4,6,7,1,8]=>[7,2,3,5,4,6,1,8]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.]=>[4,3,2,5,6,7,1,8]=>[4,3,2,5,6,7,1,8]=>[7,3,4,2,5,6,1,8]
[[.,[[[[.,[[.,.],.]],.],.],.]],.]=>[3,4,2,5,6,7,1,8]=>[3,4,2,5,6,7,1,8]=>[7,4,3,2,5,6,1,8]
[[.,[[[[[.,.],[.,.]],.],.],.]],.]=>[4,2,3,5,6,7,1,8]=>[2,4,3,5,6,7,1,8]=>[7,2,4,3,5,6,1,8]
[[.,[[[[[.,[.,.]],.],.],.],.]],.]=>[3,2,4,5,6,7,1,8]=>[3,2,4,5,6,7,1,8]=>[7,3,2,4,5,6,1,8]
[[.,[[[[[[.,.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1,8]=>[7,2,3,4,5,6,1,8]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[7,6,5,4,3,1,2,8]=>[1,7,6,5,4,3,2,8]=>[1,3,4,5,6,7,2,8]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>[6,7,5,4,3,1,2,8]=>[1,6,7,5,4,3,2,8]=>[1,3,4,5,7,6,2,8]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,3,1,2,8]=>[1,5,7,6,4,3,2,8]=>[1,3,4,6,5,7,2,8]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]=>[6,5,7,4,3,1,2,8]=>[1,6,5,7,4,3,2,8]=>[1,3,4,7,6,5,2,8]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,3,1,2,8]=>[1,5,6,7,4,3,2,8]=>[1,3,4,7,5,6,2,8]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,3,1,2,8]=>[1,4,7,6,5,3,2,8]=>[1,3,5,4,6,7,2,8]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>[7,5,4,6,3,1,2,8]=>[1,5,7,4,6,3,2,8]=>[1,3,6,7,5,4,2,8]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,3,1,2,8]=>[1,4,5,7,6,3,2,8]=>[1,3,6,4,5,7,2,8]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,3,1,2,8]=>[1,5,4,6,7,3,2,8]=>[1,3,7,5,4,6,2,8]
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[4,5,6,7,3,1,2,8]=>[1,4,5,6,7,3,2,8]=>[1,3,7,4,5,6,2,8]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[7,6,5,3,4,1,2,8]=>[1,3,7,6,5,4,2,8]=>[1,4,3,5,6,7,2,8]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>[6,7,5,3,4,1,2,8]=>[1,3,6,7,5,4,2,8]=>[1,4,3,5,7,6,2,8]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[7,5,6,3,4,1,2,8]=>[1,3,5,7,6,4,2,8]=>[1,4,3,6,5,7,2,8]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>[6,5,7,3,4,1,2,8]=>[1,3,6,5,7,4,2,8]=>[1,4,3,7,6,5,2,8]
[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>[5,6,7,3,4,1,2,8]=>[1,3,5,6,7,4,2,8]=>[1,4,3,7,5,6,2,8]
[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>[6,7,4,3,5,1,2,8]=>[1,4,6,7,3,5,2,8]=>[1,5,7,4,3,6,2,8]
[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[6,7,3,4,5,1,2,8]=>[1,3,4,6,7,5,2,8]=>[1,5,3,4,7,6,2,8]
[[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>[7,5,4,3,6,1,2,8]=>[1,5,7,4,3,6,2,8]=>[1,6,4,7,5,3,2,8]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>[7,4,5,3,6,1,2,8]=>[1,4,5,7,3,6,2,8]=>[1,6,7,4,5,3,2,8]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[7,5,3,4,6,1,2,8]=>[1,3,5,7,4,6,2,8]=>[1,6,3,7,5,4,2,8]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>[7,4,3,5,6,1,2,8]=>[1,4,3,7,5,6,2,8]=>[1,6,4,3,7,5,2,8]
[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[7,3,4,5,6,1,2,8]=>[1,3,4,5,7,6,2,8]=>[1,6,3,4,5,7,2,8]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>[6,5,4,3,7,1,2,8]=>[1,6,5,4,3,7,2,8]=>[1,7,4,5,6,3,2,8]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>[5,6,4,3,7,1,2,8]=>[1,5,6,4,3,7,2,8]=>[1,7,4,6,5,3,2,8]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>[6,4,5,3,7,1,2,8]=>[1,4,6,5,3,7,2,8]=>[1,7,5,4,6,3,2,8]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>[6,5,3,4,7,1,2,8]=>[1,3,6,5,4,7,2,8]=>[1,7,3,5,6,4,2,8]
[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[5,6,3,4,7,1,2,8]=>[1,3,5,6,4,7,2,8]=>[1,7,3,6,5,4,2,8]
[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>[6,3,4,5,7,1,2,8]=>[1,3,4,6,5,7,2,8]=>[1,7,3,4,6,5,2,8]
[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[4,5,3,6,7,1,2,8]=>[1,4,5,3,6,7,2,8]=>[1,7,5,4,3,6,2,8]
[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>[5,3,4,6,7,1,2,8]=>[1,3,5,4,6,7,2,8]=>[1,7,3,5,4,6,2,8]
[[[.,.],[[[[.,[.,.]],.],.],.]],.]=>[4,3,5,6,7,1,2,8]=>[1,4,3,5,6,7,2,8]=>[1,7,4,3,5,6,2,8]
[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[3,4,5,6,7,1,2,8]=>[1,3,4,5,6,7,2,8]=>[1,7,3,4,5,6,2,8]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[7,6,5,4,2,1,3,8]=>[2,7,6,5,4,1,3,8]=>[4,2,1,5,6,7,3,8]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>[6,7,5,4,2,1,3,8]=>[2,6,7,5,4,1,3,8]=>[4,2,1,5,7,6,3,8]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>[6,5,7,4,2,1,3,8]=>[2,6,5,7,4,1,3,8]=>[4,2,1,7,6,5,3,8]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,2,1,3,8]=>[2,5,6,7,4,1,3,8]=>[4,2,1,7,5,6,3,8]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,2,1,3,8]=>[2,5,7,4,6,1,3,8]=>[6,2,1,7,5,4,3,8]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,2,1,3,8]=>[2,4,5,7,6,1,3,8]=>[6,2,1,4,5,7,3,8]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>[6,5,4,7,2,1,3,8]=>[2,6,5,4,7,1,3,8]=>[7,2,1,5,6,4,3,8]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[5,6,4,7,2,1,3,8]=>[2,5,6,4,7,1,3,8]=>[7,2,1,6,5,4,3,8]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>[5,4,6,7,2,1,3,8]=>[2,5,4,6,7,1,3,8]=>[7,2,1,5,4,6,3,8]
[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[4,5,6,7,2,1,3,8]=>[2,4,5,6,7,1,3,8]=>[7,2,1,4,5,6,3,8]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[7,6,5,4,1,2,3,8]=>[1,2,7,6,5,4,3,8]=>[1,2,4,5,6,7,3,8]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>[6,7,5,4,1,2,3,8]=>[1,2,6,7,5,4,3,8]=>[1,2,4,5,7,6,3,8]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[7,5,6,4,1,2,3,8]=>[1,2,5,7,6,4,3,8]=>[1,2,4,6,5,7,3,8]
[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,1,2,3,8]=>[1,2,5,6,7,4,3,8]=>[1,2,4,7,5,6,3,8]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[7,6,4,5,1,2,3,8]=>[1,2,4,7,6,5,3,8]=>[1,2,5,4,6,7,3,8]
[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>[6,7,4,5,1,2,3,8]=>[1,2,4,6,7,5,3,8]=>[1,2,5,4,7,6,3,8]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,1,2,3,8]=>[1,2,5,7,4,6,3,8]=>[1,2,6,7,5,4,3,8]
[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,1,2,3,8]=>[1,2,4,5,7,6,3,8]=>[1,2,6,4,5,7,3,8]
[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[5,6,4,7,1,2,3,8]=>[1,2,5,6,4,7,3,8]=>[1,2,7,6,5,4,3,8]
[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[6,4,5,7,1,2,3,8]=>[1,2,4,6,5,7,3,8]=>[1,2,7,4,6,5,3,8]
[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[5,4,6,7,1,2,3,8]=>[1,2,5,4,6,7,3,8]=>[1,2,7,5,4,6,3,8]
[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[4,5,6,7,1,2,3,8]=>[1,2,4,5,6,7,3,8]=>[1,2,7,4,5,6,3,8]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[7,6,5,3,2,1,4,8]=>[3,7,6,5,2,1,4,8]=>[2,5,3,1,6,7,4,8]
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>[6,7,5,3,2,1,4,8]=>[3,6,7,5,2,1,4,8]=>[2,5,3,1,7,6,4,8]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[7,5,6,3,2,1,4,8]=>[3,5,7,6,2,1,4,8]=>[2,6,3,1,5,7,4,8]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[7,6,5,2,3,1,4,8]=>[2,3,7,6,5,1,4,8]=>[5,2,3,1,6,7,4,8]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[7,5,6,2,3,1,4,8]=>[2,3,5,7,6,1,4,8]=>[6,2,3,1,5,7,4,8]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[6,5,7,2,3,1,4,8]=>[2,3,6,5,7,1,4,8]=>[7,2,3,1,6,5,4,8]
[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[5,6,7,2,3,1,4,8]=>[2,3,5,6,7,1,4,8]=>[7,2,3,1,5,6,4,8]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[7,6,5,3,1,2,4,8]=>[1,3,7,6,5,2,4,8]=>[1,5,3,2,6,7,4,8]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>[6,7,5,3,1,2,4,8]=>[1,3,6,7,5,2,4,8]=>[1,5,3,2,7,6,4,8]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[7,5,6,3,1,2,4,8]=>[1,3,5,7,6,2,4,8]=>[1,6,3,2,5,7,4,8]
[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[5,6,7,3,1,2,4,8]=>[1,3,5,6,7,2,4,8]=>[1,7,3,2,5,6,4,8]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[7,6,5,2,1,3,4,8]=>[2,1,7,6,5,3,4,8]=>[2,1,5,3,6,7,4,8]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>[7,5,6,2,1,3,4,8]=>[2,1,5,7,6,3,4,8]=>[2,1,6,3,5,7,4,8]
[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[5,6,7,2,1,3,4,8]=>[2,1,5,6,7,3,4,8]=>[2,1,7,3,5,6,4,8]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[7,6,5,1,2,3,4,8]=>[1,2,3,7,6,5,4,8]=>[1,2,3,5,6,7,4,8]
[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[6,7,5,1,2,3,4,8]=>[1,2,3,6,7,5,4,8]=>[1,2,3,5,7,6,4,8]
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[7,5,6,1,2,3,4,8]=>[1,2,3,5,7,6,4,8]=>[1,2,3,6,5,7,4,8]
[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[6,5,7,1,2,3,4,8]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,6,5,4,8]
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,5,6,4,8]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[7,6,4,3,2,1,5,8]=>[4,7,6,3,2,1,5,8]=>[2,3,6,4,1,7,5,8]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>[6,7,3,4,2,1,5,8]=>[3,4,6,7,2,1,5,8]=>[2,7,3,4,1,6,5,8]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[7,6,3,2,4,1,5,8]=>[3,2,7,6,4,1,5,8]=>[4,3,2,6,1,7,5,8]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>[6,7,3,2,4,1,5,8]=>[3,2,6,7,4,1,5,8]=>[4,3,2,7,1,6,5,8]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[7,6,2,3,4,1,5,8]=>[2,3,4,7,6,1,5,8]=>[6,2,3,4,1,7,5,8]
[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[6,7,2,3,4,1,5,8]=>[2,3,4,6,7,1,5,8]=>[7,2,3,4,1,6,5,8]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[7,6,4,3,1,2,5,8]=>[1,4,7,6,3,2,5,8]=>[1,3,6,4,2,7,5,8]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[6,7,4,3,1,2,5,8]=>[1,4,6,7,3,2,5,8]=>[1,3,7,4,2,6,5,8]
[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[6,7,3,4,1,2,5,8]=>[1,3,4,6,7,2,5,8]=>[1,7,3,4,2,6,5,8]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[7,6,4,1,2,3,5,8]=>[1,2,4,7,6,3,5,8]=>[1,2,6,4,3,7,5,8]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[7,6,3,2,1,4,5,8]=>[3,2,7,6,1,4,5,8]=>[6,3,2,1,4,7,5,8]
[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>[6,7,3,2,1,4,5,8]=>[3,2,6,7,1,4,5,8]=>[7,3,2,1,4,6,5,8]
[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[6,7,2,3,1,4,5,8]=>[2,3,1,6,7,4,5,8]=>[3,2,1,7,4,6,5,8]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[7,6,3,1,2,4,5,8]=>[1,3,2,7,6,4,5,8]=>[1,3,2,6,4,7,5,8]
[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[6,7,3,1,2,4,5,8]=>[1,3,2,6,7,4,5,8]=>[1,3,2,7,4,6,5,8]
[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[7,6,1,2,3,4,5,8]=>[1,2,3,4,7,6,5,8]=>[1,2,3,4,6,7,5,8]
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[6,7,1,2,3,4,5,8]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,6,5,8]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]=>[7,4,5,3,2,1,6,8]=>[4,5,7,3,2,1,6,8]=>[2,3,7,4,5,1,6,8]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>[7,5,3,4,2,1,6,8]=>[3,5,7,4,2,1,6,8]=>[2,4,3,7,5,1,6,8]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>[7,4,3,5,2,1,6,8]=>[4,3,7,5,2,1,6,8]=>[2,5,4,3,7,1,6,8]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>[7,3,4,5,2,1,6,8]=>[3,4,5,7,2,1,6,8]=>[2,7,3,4,5,1,6,8]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>[7,5,4,2,3,1,6,8]=>[2,5,7,4,3,1,6,8]=>[3,2,4,7,5,1,6,8]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>[7,4,5,2,3,1,6,8]=>[2,4,5,7,3,1,6,8]=>[3,2,7,4,5,1,6,8]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[7,5,3,2,4,1,6,8]=>[3,5,7,2,4,1,6,8]=>[4,7,3,2,5,1,6,8]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]=>[7,4,3,2,5,1,6,8]=>[4,3,7,2,5,1,6,8]=>[5,7,4,3,2,1,6,8]
[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[7,2,3,4,5,1,6,8]=>[2,3,4,5,7,1,6,8]=>[7,2,3,4,5,1,6,8]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>[7,4,5,3,1,2,6,8]=>[1,4,5,7,3,2,6,8]=>[1,3,7,4,5,2,6,8]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[7,5,3,4,1,2,6,8]=>[1,3,5,7,4,2,6,8]=>[1,4,3,7,5,2,6,8]
[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[7,3,4,5,1,2,6,8]=>[1,3,4,5,7,2,6,8]=>[1,7,3,4,5,2,6,8]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[7,5,4,1,2,3,6,8]=>[1,2,5,7,4,3,6,8]=>[1,2,4,7,5,3,6,8]
[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[7,4,5,1,2,3,6,8]=>[1,2,4,5,7,3,6,8]=>[1,2,7,4,5,3,6,8]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[7,5,3,2,1,4,6,8]=>[3,5,7,2,1,4,6,8]=>[2,7,3,1,5,4,6,8]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[7,5,2,3,1,4,6,8]=>[2,3,5,7,1,4,6,8]=>[7,2,3,1,5,4,6,8]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[7,5,3,1,2,4,6,8]=>[1,3,5,7,2,4,6,8]=>[1,7,3,2,5,4,6,8]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[7,5,2,1,3,4,6,8]=>[2,1,5,7,3,4,6,8]=>[2,1,7,3,5,4,6,8]
[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[7,5,1,2,3,4,6,8]=>[1,2,3,5,7,4,6,8]=>[1,2,3,7,5,4,6,8]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[7,4,3,2,1,5,6,8]=>[4,3,7,2,1,5,6,8]=>[2,7,4,3,1,5,6,8]
[[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>[7,3,4,2,1,5,6,8]=>[3,4,2,7,1,5,6,8]=>[7,4,3,2,1,5,6,8]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>[7,4,2,3,1,5,6,8]=>[2,4,3,7,1,5,6,8]=>[7,2,4,3,1,5,6,8]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>[7,3,2,4,1,5,6,8]=>[3,2,4,7,1,5,6,8]=>[7,3,2,4,1,5,6,8]
[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[7,2,3,4,1,5,6,8]=>[2,3,4,1,7,5,6,8]=>[4,2,3,1,7,5,6,8]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[7,4,3,1,2,5,6,8]=>[1,4,3,7,2,5,6,8]=>[1,7,4,3,2,5,6,8]
[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[7,3,4,1,2,5,6,8]=>[1,3,4,2,7,5,6,8]=>[1,4,3,2,7,5,6,8]
[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[7,4,1,2,3,5,6,8]=>[1,2,4,3,7,5,6,8]=>[1,2,4,3,7,5,6,8]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>[7,3,2,1,4,5,6,8]=>[3,2,1,7,4,5,6,8]=>[2,3,1,7,4,5,6,8]
[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[7,2,3,1,4,5,6,8]=>[2,3,1,4,7,5,6,8]=>[3,2,1,4,7,5,6,8]
[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[7,3,1,2,4,5,6,8]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,7,5,6,8]
[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>[7,2,1,3,4,5,6,8]=>[2,1,3,4,7,5,6,8]=>[2,1,3,4,7,5,6,8]
[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[2,3,4,5,6,1,7,8]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>[5,6,4,3,2,1,7,8]=>[5,6,4,3,2,1,7,8]=>[2,3,4,6,5,1,7,8]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>[5,4,6,3,2,1,7,8]=>[5,4,6,3,2,1,7,8]=>[2,3,6,5,4,1,7,8]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[4,5,6,3,2,1,7,8]=>[2,3,6,4,5,1,7,8]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[6,5,3,4,2,1,7,8]=>[3,6,5,4,2,1,7,8]=>[2,4,3,5,6,1,7,8]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.]=>[5,6,3,4,2,1,7,8]=>[3,5,6,4,2,1,7,8]=>[2,4,3,6,5,1,7,8]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>[5,4,3,6,2,1,7,8]=>[5,4,3,6,2,1,7,8]=>[2,6,4,5,3,1,7,8]
[[[.,[.,[[.,[[.,.],.]],.]]],.],.]=>[4,5,3,6,2,1,7,8]=>[4,5,3,6,2,1,7,8]=>[2,6,5,4,3,1,7,8]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.]=>[5,3,4,6,2,1,7,8]=>[3,5,4,6,2,1,7,8]=>[2,6,3,5,4,1,7,8]
[[[.,[.,[[[.,[.,.]],.],.]]],.],.]=>[4,3,5,6,2,1,7,8]=>[4,3,5,6,2,1,7,8]=>[2,6,4,3,5,1,7,8]
[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[3,4,5,6,2,1,7,8]=>[2,6,3,4,5,1,7,8]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>[6,4,5,2,3,1,7,8]=>[2,4,6,5,3,1,7,8]=>[3,2,5,4,6,1,7,8]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>[5,4,6,2,3,1,7,8]=>[2,5,4,6,3,1,7,8]=>[3,2,6,5,4,1,7,8]
[[[.,[[.,.],[[[.,.],.],.]]],.],.]=>[4,5,6,2,3,1,7,8]=>[2,4,5,6,3,1,7,8]=>[3,2,6,4,5,1,7,8]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]=>[6,5,3,2,4,1,7,8]=>[3,6,5,2,4,1,7,8]=>[4,5,3,2,6,1,7,8]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>[5,6,3,2,4,1,7,8]=>[3,5,6,2,4,1,7,8]=>[4,6,3,2,5,1,7,8]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[6,5,2,3,4,1,7,8]=>[2,3,6,5,4,1,7,8]=>[4,2,3,5,6,1,7,8]
[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>[5,6,2,3,4,1,7,8]=>[2,3,5,6,4,1,7,8]=>[4,2,3,6,5,1,7,8]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[6,4,3,2,5,1,7,8]=>[4,6,3,2,5,1,7,8]=>[5,3,6,4,2,1,7,8]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.]=>[6,3,4,2,5,1,7,8]=>[3,4,6,2,5,1,7,8]=>[5,6,3,4,2,1,7,8]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.]=>[6,4,2,3,5,1,7,8]=>[2,4,6,3,5,1,7,8]=>[5,2,6,4,3,1,7,8]
[[[.,[[[.,[.,.]],.],[.,.]]],.],.]=>[6,3,2,4,5,1,7,8]=>[3,2,6,4,5,1,7,8]=>[5,3,2,6,4,1,7,8]
[[[.,[[[[.,.],.],.],[.,.]]],.],.]=>[6,2,3,4,5,1,7,8]=>[2,3,4,6,5,1,7,8]=>[5,2,3,4,6,1,7,8]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[5,4,3,2,6,1,7,8]=>[6,3,4,5,2,1,7,8]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[4,5,3,2,6,1,7,8]=>[6,3,5,4,2,1,7,8]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.]=>[5,3,4,2,6,1,7,8]=>[3,5,4,2,6,1,7,8]=>[6,4,3,5,2,1,7,8]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.]=>[4,3,5,2,6,1,7,8]=>[4,3,5,2,6,1,7,8]=>[6,5,4,3,2,1,7,8]
[[[.,[[.,[[[.,.],.],.]],.]],.],.]=>[3,4,5,2,6,1,7,8]=>[3,4,5,2,6,1,7,8]=>[6,5,3,4,2,1,7,8]
[[[.,[[[.,.],[.,[.,.]]],.]],.],.]=>[5,4,2,3,6,1,7,8]=>[2,5,4,3,6,1,7,8]=>[6,2,4,5,3,1,7,8]
[[[.,[[[[.,.],.],[.,.]],.]],.],.]=>[5,2,3,4,6,1,7,8]=>[2,3,5,4,6,1,7,8]=>[6,2,3,5,4,1,7,8]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.]=>[4,3,2,5,6,1,7,8]=>[4,3,2,5,6,1,7,8]=>[6,3,4,2,5,1,7,8]
[[[.,[[[.,[[.,.],.]],.],.]],.],.]=>[3,4,2,5,6,1,7,8]=>[3,4,2,5,6,1,7,8]=>[6,4,3,2,5,1,7,8]
[[[.,[[[[.,.],[.,.]],.],.]],.],.]=>[4,2,3,5,6,1,7,8]=>[2,4,3,5,6,1,7,8]=>[6,2,4,3,5,1,7,8]
[[[.,[[[[.,[.,.]],.],.],.]],.],.]=>[3,2,4,5,6,1,7,8]=>[3,2,4,5,6,1,7,8]=>[6,3,2,4,5,1,7,8]
[[[.,[[[[[.,.],.],.],.],.]],.],.]=>[2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,7,8]=>[6,2,3,4,5,1,7,8]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[6,5,4,3,1,2,7,8]=>[1,6,5,4,3,2,7,8]=>[1,3,4,5,6,2,7,8]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[5,6,4,3,1,2,7,8]=>[1,5,6,4,3,2,7,8]=>[1,3,4,6,5,2,7,8]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>[6,4,5,3,1,2,7,8]=>[1,4,6,5,3,2,7,8]=>[1,3,5,4,6,2,7,8]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[5,4,6,3,1,2,7,8]=>[1,5,4,6,3,2,7,8]=>[1,3,6,5,4,2,7,8]
[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>[4,5,6,3,1,2,7,8]=>[1,4,5,6,3,2,7,8]=>[1,3,6,4,5,2,7,8]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[6,5,3,4,1,2,7,8]=>[1,3,6,5,4,2,7,8]=>[1,4,3,5,6,2,7,8]
[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[5,6,3,4,1,2,7,8]=>[1,3,5,6,4,2,7,8]=>[1,4,3,6,5,2,7,8]
[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>[6,3,4,5,1,2,7,8]=>[1,3,4,6,5,2,7,8]=>[1,5,3,4,6,2,7,8]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[5,4,3,6,1,2,7,8]=>[1,5,4,3,6,2,7,8]=>[1,6,4,5,3,2,7,8]
[[[[.,.],[[.,[[.,.],.]],.]],.],.]=>[4,5,3,6,1,2,7,8]=>[1,4,5,3,6,2,7,8]=>[1,6,5,4,3,2,7,8]
[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>[5,3,4,6,1,2,7,8]=>[1,3,5,4,6,2,7,8]=>[1,6,3,5,4,2,7,8]
[[[[.,.],[[[.,[.,.]],.],.]],.],.]=>[4,3,5,6,1,2,7,8]=>[1,4,3,5,6,2,7,8]=>[1,6,4,3,5,2,7,8]
[[[[.,.],[[[[.,.],.],.],.]],.],.]=>[3,4,5,6,1,2,7,8]=>[1,3,4,5,6,2,7,8]=>[1,6,3,4,5,2,7,8]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>[6,5,4,2,1,3,7,8]=>[2,6,5,4,1,3,7,8]=>[4,2,1,5,6,3,7,8]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[5,6,4,2,1,3,7,8]=>[2,5,6,4,1,3,7,8]=>[4,2,1,6,5,3,7,8]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[5,4,6,2,1,3,7,8]=>[2,5,4,6,1,3,7,8]=>[6,2,1,5,4,3,7,8]
[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>[4,5,6,2,1,3,7,8]=>[2,4,5,6,1,3,7,8]=>[6,2,1,4,5,3,7,8]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[6,5,4,1,2,3,7,8]=>[1,2,6,5,4,3,7,8]=>[1,2,4,5,6,3,7,8]
[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>[5,6,4,1,2,3,7,8]=>[1,2,5,6,4,3,7,8]=>[1,2,4,6,5,3,7,8]
[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[6,4,5,1,2,3,7,8]=>[1,2,4,6,5,3,7,8]=>[1,2,5,4,6,3,7,8]
[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>[5,4,6,1,2,3,7,8]=>[1,2,5,4,6,3,7,8]=>[1,2,6,5,4,3,7,8]
[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[4,5,6,1,2,3,7,8]=>[1,2,4,5,6,3,7,8]=>[1,2,6,4,5,3,7,8]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>[6,5,3,2,1,4,7,8]=>[3,6,5,2,1,4,7,8]=>[2,5,3,1,6,4,7,8]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[5,6,3,2,1,4,7,8]=>[3,5,6,2,1,4,7,8]=>[2,6,3,1,5,4,7,8]
[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[5,6,2,3,1,4,7,8]=>[2,3,5,6,1,4,7,8]=>[6,2,3,1,5,4,7,8]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>[6,5,3,1,2,4,7,8]=>[1,3,6,5,2,4,7,8]=>[1,5,3,2,6,4,7,8]
[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[5,6,3,1,2,4,7,8]=>[1,3,5,6,2,4,7,8]=>[1,6,3,2,5,4,7,8]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>[6,5,2,1,3,4,7,8]=>[2,1,6,5,3,4,7,8]=>[2,1,5,3,6,4,7,8]
[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>[5,6,2,1,3,4,7,8]=>[2,1,5,6,3,4,7,8]=>[2,1,6,3,5,4,7,8]
[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[6,5,1,2,3,4,7,8]=>[1,2,3,6,5,4,7,8]=>[1,2,3,5,6,4,7,8]
[[[[[[.,.],.],.],[[.,.],.]],.],.]=>[5,6,1,2,3,4,7,8]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,5,4,7,8]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[6,4,3,2,1,5,7,8]=>[4,6,3,2,1,5,7,8]=>[2,3,6,4,1,5,7,8]
[[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>[6,3,4,2,1,5,7,8]=>[3,4,6,2,1,5,7,8]=>[2,6,3,4,1,5,7,8]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[6,3,2,4,1,5,7,8]=>[3,2,6,4,1,5,7,8]=>[4,3,2,6,1,5,7,8]
[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[6,2,3,4,1,5,7,8]=>[2,3,4,6,1,5,7,8]=>[6,2,3,4,1,5,7,8]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[6,4,3,1,2,5,7,8]=>[1,4,6,3,2,5,7,8]=>[1,3,6,4,2,5,7,8]
[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>[6,3,4,1,2,5,7,8]=>[1,3,4,6,2,5,7,8]=>[1,6,3,4,2,5,7,8]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[6,4,2,1,3,5,7,8]=>[2,4,6,1,3,5,7,8]=>[6,2,1,4,3,5,7,8]
[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[6,4,1,2,3,5,7,8]=>[1,2,4,6,3,5,7,8]=>[1,2,6,4,3,5,7,8]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[6,3,2,1,4,5,7,8]=>[3,2,6,1,4,5,7,8]=>[6,3,2,1,4,5,7,8]
[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>[6,2,3,1,4,5,7,8]=>[2,3,1,6,4,5,7,8]=>[3,2,1,6,4,5,7,8]
[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[6,3,1,2,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7,8]
[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[6,2,1,3,4,5,7,8]=>[2,1,3,6,4,5,7,8]=>[2,1,3,6,4,5,7,8]
[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[6,1,2,3,4,5,7,8]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[4,5,3,2,1,6,7,8]=>[2,3,5,4,1,6,7,8]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[5,3,4,2,1,6,7,8]=>[3,5,4,2,1,6,7,8]=>[2,4,3,5,1,6,7,8]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[4,3,5,2,1,6,7,8]=>[2,5,4,3,1,6,7,8]
[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[3,4,5,2,1,6,7,8]=>[2,5,3,4,1,6,7,8]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[5,4,2,3,1,6,7,8]=>[2,5,4,3,1,6,7,8]=>[3,2,4,5,1,6,7,8]
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[4,5,2,3,1,6,7,8]=>[2,4,5,3,1,6,7,8]=>[3,2,5,4,1,6,7,8]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[5,3,2,4,1,6,7,8]=>[3,5,2,4,1,6,7,8]=>[4,5,3,2,1,6,7,8]
[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[5,2,3,4,1,6,7,8]=>[2,3,5,4,1,6,7,8]=>[4,2,3,5,1,6,7,8]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[4,3,2,5,1,6,7,8]=>[5,3,4,2,1,6,7,8]
[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8]
[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[4,2,3,5,1,6,7,8]=>[2,4,3,5,1,6,7,8]=>[5,2,4,3,1,6,7,8]
[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[3,2,4,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[5,4,3,1,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[1,3,4,5,2,6,7,8]
[[[[[.,.],[.,[[.,.],.]]],.],.],.]=>[4,5,3,1,2,6,7,8]=>[1,4,5,3,2,6,7,8]=>[1,3,5,4,2,6,7,8]
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[5,3,4,1,2,6,7,8]=>[1,3,5,4,2,6,7,8]=>[1,4,3,5,2,6,7,8]
[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>[4,3,5,1,2,6,7,8]=>[1,4,3,5,2,6,7,8]=>[1,5,4,3,2,6,7,8]
[[[[[.,.],[[[.,.],.],.]],.],.],.]=>[3,4,5,1,2,6,7,8]=>[1,3,4,5,2,6,7,8]=>[1,5,3,4,2,6,7,8]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[5,4,2,1,3,6,7,8]=>[2,5,4,1,3,6,7,8]=>[4,2,1,5,3,6,7,8]
[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>[4,5,2,1,3,6,7,8]=>[2,4,5,1,3,6,7,8]=>[5,2,1,4,3,6,7,8]
[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[5,4,1,2,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[1,2,4,5,3,6,7,8]
[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[4,5,1,2,3,6,7,8]=>[1,2,4,5,3,6,7,8]=>[1,2,5,4,3,6,7,8]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[5,3,2,1,4,6,7,8]=>[3,5,2,1,4,6,7,8]=>[2,5,3,1,4,6,7,8]
[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[5,2,3,1,4,6,7,8]=>[2,3,5,1,4,6,7,8]=>[5,2,3,1,4,6,7,8]
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[5,3,1,2,4,6,7,8]=>[1,3,5,2,4,6,7,8]=>[1,5,3,2,4,6,7,8]
[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[5,2,1,3,4,6,7,8]=>[2,1,5,3,4,6,7,8]=>[2,1,5,3,4,6,7,8]
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[3,4,2,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[4,2,3,1,5,6,7,8]=>[2,4,3,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]
[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]
[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[4,3,1,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[1,3,4,2,5,6,7,8]
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[3,4,1,2,5,6,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[4,2,1,3,5,6,7,8]=>[2,4,1,3,5,6,7,8]=>[4,2,1,3,5,6,7,8]
[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]
[[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[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]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,1]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[8,9,7,6,5,4,3,2,1]=>[8,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,8,1]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>[7,8,9,6,5,4,3,2,1]=>[7,8,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,7,8,1]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]=>[6,7,8,9,5,4,3,2,1]=>[6,7,8,9,5,4,3,2,1]=>[2,3,4,5,9,6,7,8,1]
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]=>[5,6,7,8,9,4,3,2,1]=>[5,6,7,8,9,4,3,2,1]=>[2,3,4,9,5,6,7,8,1]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]=>[4,5,6,7,8,9,3,2,1]=>[4,5,6,7,8,9,3,2,1]=>[2,3,9,4,5,6,7,8,1]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,2,1]=>[3,4,5,6,7,8,9,2,1]=>[2,9,3,4,5,6,7,8,1]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,9,1]=>[9,2,3,4,5,6,7,8,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,10,1]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>[9,10,8,7,6,5,4,3,2,1]=>[9,10,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,10,9,1]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]=>[9,7,8,6,5,4,3,2,1]=>[7,9,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,9,1]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]=>[8,9,10,7,6,5,4,3,2,1]=>[8,9,10,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,10,8,9,1]
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]=>[8,9,6,7,5,4,3,2,1]=>[6,8,9,7,5,4,3,2,1]=>[2,3,4,5,7,6,9,8,1]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]]=>[7,8,9,10,6,5,4,3,2,1]=>[7,8,9,10,6,5,4,3,2,1]=>[2,3,4,5,6,10,7,8,9,1]
[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]]=>[7,8,9,5,6,4,3,2,1]=>[5,7,8,9,6,4,3,2,1]=>[2,3,4,6,5,9,7,8,1]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]=>[6,7,8,9,10,5,4,3,2,1]=>[6,7,8,9,10,5,4,3,2,1]=>[2,3,4,5,10,6,7,8,9,1]
[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]]=>[6,7,8,9,4,5,3,2,1]=>[4,6,7,8,9,5,3,2,1]=>[2,3,5,4,9,6,7,8,1]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]]=>[5,6,7,8,9,10,4,3,2,1]=>[5,6,7,8,9,10,4,3,2,1]=>[2,3,4,10,5,6,7,8,9,1]
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]]=>[5,6,7,8,9,3,4,2,1]=>[3,5,6,7,8,9,4,2,1]=>[2,4,3,9,5,6,7,8,1]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]]=>[4,5,6,7,8,9,10,3,2,1]=>[4,5,6,7,8,9,10,3,2,1]=>[2,3,10,4,5,6,7,8,9,1]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>[4,5,6,7,8,9,2,3,1]=>[2,4,5,6,7,8,9,3,1]=>[3,2,9,4,5,6,7,8,1]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,10,2,1]=>[3,4,5,6,7,8,9,10,2,1]=>[2,10,3,4,5,6,7,8,9,1]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[3,4,5,6,7,8,9,1,2]=>[1,3,4,5,6,7,8,9,2]=>[1,9,3,4,5,6,7,8,2]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,10,1]=>[10,2,3,4,5,6,7,8,9,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[8,7,9,6,5,4,3,2,1]=>[8,7,9,6,5,4,3,2,1]=>[2,3,4,5,6,9,8,7,1]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]=>[8,7,6,9,5,4,3,2,1]=>[8,7,6,9,5,4,3,2,1]=>[2,3,4,5,9,7,8,6,1]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]=>[8,7,6,5,9,4,3,2,1]=>[8,7,6,5,9,4,3,2,1]=>[2,3,4,9,6,7,8,5,1]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]=>[8,7,6,5,4,9,3,2,1]=>[8,7,6,5,4,9,3,2,1]=>[2,3,9,5,6,7,8,4,1]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]=>[8,7,6,5,4,3,9,2,1]=>[8,7,6,5,4,3,9,2,1]=>[2,9,4,5,6,7,8,3,1]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,9,1]=>[9,3,4,5,6,7,8,2,1]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,8,1,9]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>[9,8,10,7,6,5,4,3,2,1]=>[9,8,10,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,10,9,8,1]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]=>[8,6,7,9,5,4,3,2,1]=>[6,8,7,9,5,4,3,2,1]=>[2,3,4,5,9,6,8,7,1]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]=>[9,8,7,10,6,5,4,3,2,1]=>[9,8,7,10,6,5,4,3,2,1]=>[2,3,4,5,6,10,8,9,7,1]
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]=>[8,7,5,6,9,4,3,2,1]=>[5,8,7,6,9,4,3,2,1]=>[2,3,4,9,5,7,8,6,1]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]=>[9,8,7,6,10,5,4,3,2,1]=>[9,8,7,6,10,5,4,3,2,1]=>[2,3,4,5,10,7,8,9,6,1]
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]=>[8,7,6,4,5,9,3,2,1]=>[4,8,7,6,5,9,3,2,1]=>[2,3,9,4,6,7,8,5,1]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]=>[9,8,7,6,5,10,4,3,2,1]=>[9,8,7,6,5,10,4,3,2,1]=>[2,3,4,10,6,7,8,9,5,1]
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]=>[8,7,6,5,3,4,9,2,1]=>[3,8,7,6,5,4,9,2,1]=>[2,9,3,5,6,7,8,4,1]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]=>[9,8,7,6,5,4,10,3,2,1]=>[9,8,7,6,5,4,10,3,2,1]=>[2,3,10,5,6,7,8,9,4,1]
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]=>[8,7,6,5,4,2,3,9,1]=>[2,8,7,6,5,4,3,9,1]=>[9,2,4,5,6,7,8,3,1]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]=>[9,8,7,6,5,4,3,10,2,1]=>[9,8,7,6,5,4,3,10,2,1]=>[2,10,4,5,6,7,8,9,3,1]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[8,7,6,5,4,3,1,2,9]=>[1,8,7,6,5,4,3,2,9]=>[1,3,4,5,6,7,8,2,9]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[9,8,7,6,5,4,3,2,10,1]=>[9,8,7,6,5,4,3,2,10,1]=>[10,3,4,5,6,7,8,9,2,1]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,8,9,1,10]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>[9,10,7,8,5,6,3,4,1,2]=>[1,3,5,7,9,10,8,6,4,2]=>[1,4,3,6,5,8,7,10,9,2]
[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]=>[8,9,7,10,5,6,3,4,1,2]=>[1,3,5,8,9,7,10,6,4,2]=>[1,4,3,6,5,10,9,8,7,2]
[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]=>[8,9,6,7,5,10,3,4,1,2]=>[1,3,6,8,9,7,5,10,4,2]=>[1,4,3,10,7,6,9,8,5,2]
[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]=>[7,8,6,9,5,10,3,4,1,2]=>[1,3,7,8,6,9,5,10,4,2]=>[1,4,3,10,9,8,7,6,5,2]
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]=>[8,9,6,7,4,5,3,10,1,2]=>[1,4,6,8,9,7,5,3,10,2]=>[1,10,5,4,7,6,9,8,3,2]
[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]=>[7,8,6,9,4,5,3,10,1,2]=>[1,4,7,8,6,9,5,3,10,2]=>[1,10,5,4,9,8,7,6,3,2]
[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]=>[7,8,5,6,4,9,3,10,1,2]=>[1,5,7,8,6,4,9,3,10,2]=>[1,10,9,6,5,8,7,4,3,2]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]=>[6,7,5,8,4,9,3,10,1,2]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,9,8,7,6,5,4,3,2]
[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]=>[8,9,6,7,4,5,2,3,1,10]=>[2,4,6,8,9,7,5,3,1,10]=>[3,2,5,4,7,6,9,8,1,10]
[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]=>[7,8,6,9,4,5,2,3,1,10]=>[2,4,7,8,6,9,5,3,1,10]=>[3,2,5,4,9,8,7,6,1,10]
[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]=>[7,8,5,6,4,9,2,3,1,10]=>[2,5,7,8,6,4,9,3,1,10]=>[3,2,9,6,5,8,7,4,1,10]
[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]=>[6,7,5,8,4,9,2,3,1,10]=>[2,6,7,5,8,4,9,3,1,10]=>[3,2,9,8,7,6,5,4,1,10]
[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]=>[7,8,5,6,3,4,2,9,1,10]=>[3,5,7,8,6,4,2,9,1,10]=>[9,4,3,6,5,8,7,2,1,10]
[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]=>[6,7,5,8,3,4,2,9,1,10]=>[3,6,7,5,8,4,2,9,1,10]=>[9,4,3,8,7,6,5,2,1,10]
[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]=>[6,7,4,5,3,8,2,9,1,10]=>[4,6,7,5,3,8,2,9,1,10]=>[9,8,5,4,7,6,3,2,1,10]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]=>[5,6,4,7,3,8,2,9,1,10]=>[5,6,4,7,3,8,2,9,1,10]=>[9,8,7,6,5,4,3,2,1,10]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[1,3,5,7,9,11,12,10,8,6,4,2]=>[1,4,3,6,5,8,7,10,9,12,11,2]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]]=>[10,11,9,12,7,8,5,6,3,4,1,2]=>[1,3,5,7,10,11,9,12,8,6,4,2]=>[1,4,3,6,5,8,7,12,11,10,9,2]
[[.,.],[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]]=>[10,11,8,9,7,12,5,6,3,4,1,2]=>[1,3,5,8,10,11,9,7,12,6,4,2]=>[1,4,3,6,5,12,9,8,11,10,7,2]
[[.,.],[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]]=>[9,10,8,11,7,12,5,6,3,4,1,2]=>[1,3,5,9,10,8,11,7,12,6,4,2]=>[1,4,3,6,5,12,11,10,9,8,7,2]
[[.,.],[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]]=>[10,11,8,9,6,7,5,12,3,4,1,2]=>[1,3,6,8,10,11,9,7,5,12,4,2]=>[1,4,3,12,7,6,9,8,11,10,5,2]
[[.,.],[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]]=>[9,10,8,11,6,7,5,12,3,4,1,2]=>[1,3,6,9,10,8,11,7,5,12,4,2]=>[1,4,3,12,7,6,11,10,9,8,5,2]
[[.,.],[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]]=>[9,10,7,8,6,11,5,12,3,4,1,2]=>[1,3,7,9,10,8,6,11,5,12,4,2]=>[1,4,3,12,11,8,7,10,9,6,5,2]
[[.,.],[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]]=>[8,9,7,10,6,11,5,12,3,4,1,2]=>[1,3,8,9,7,10,6,11,5,12,4,2]=>[1,4,3,12,11,10,9,8,7,6,5,2]
[[.,.],[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]]=>[10,11,8,9,6,7,4,5,3,12,1,2]=>[1,4,6,8,10,11,9,7,5,3,12,2]=>[1,12,5,4,7,6,9,8,11,10,3,2]
[[.,.],[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]]=>[9,10,8,11,6,7,4,5,3,12,1,2]=>[1,4,6,9,10,8,11,7,5,3,12,2]=>[1,12,5,4,7,6,11,10,9,8,3,2]
[[.,.],[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]]=>[9,10,7,8,6,11,4,5,3,12,1,2]=>[1,4,7,9,10,8,6,11,5,3,12,2]=>[1,12,5,4,11,8,7,10,9,6,3,2]
[[.,.],[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]]=>[8,9,7,10,6,11,4,5,3,12,1,2]=>[1,4,8,9,7,10,6,11,5,3,12,2]=>[1,12,5,4,11,10,9,8,7,6,3,2]
[[.,.],[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]]=>[9,10,7,8,5,6,4,11,3,12,1,2]=>[1,5,7,9,10,8,6,4,11,3,12,2]=>[1,12,11,6,5,8,7,10,9,4,3,2]
[[.,.],[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]]=>[8,9,7,10,5,6,4,11,3,12,1,2]=>[1,5,8,9,7,10,6,4,11,3,12,2]=>[1,12,11,6,5,10,9,8,7,4,3,2]
[[.,.],[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]]=>[8,9,6,7,5,10,4,11,3,12,1,2]=>[1,6,8,9,7,5,10,4,11,3,12,2]=>[1,12,11,10,7,6,9,8,5,4,3,2]
[[.,.],[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]]=>[7,8,6,9,5,10,4,11,3,12,1,2]=>[1,7,8,6,9,5,10,4,11,3,12,2]=>[1,12,11,10,9,8,7,6,5,4,3,2]
[[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]],.]=>[10,11,8,9,6,7,4,5,2,3,1,12]=>[2,4,6,8,10,11,9,7,5,3,1,12]=>[3,2,5,4,7,6,9,8,11,10,1,12]
[[.,[[.,.],[[.,.],[[.,.],[[.,[[.,.],.]],.]]]]],.]=>[9,10,8,11,6,7,4,5,2,3,1,12]=>[2,4,6,9,10,8,11,7,5,3,1,12]=>[3,2,5,4,7,6,11,10,9,8,1,12]
[[.,[[.,.],[[.,.],[[.,[[.,.],[[.,.],.]]],.]]]],.]=>[9,10,7,8,6,11,4,5,2,3,1,12]=>[2,4,7,9,10,8,6,11,5,3,1,12]=>[3,2,5,4,11,8,7,10,9,6,1,12]
[[.,[[.,.],[[.,.],[[.,[[.,[[.,.],.]],.]],.]]]],.]=>[8,9,7,10,6,11,4,5,2,3,1,12]=>[2,4,8,9,7,10,6,11,5,3,1,12]=>[3,2,5,4,11,10,9,8,7,6,1,12]
[[.,[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]],.]=>[9,10,7,8,5,6,4,11,2,3,1,12]=>[2,5,7,9,10,8,6,4,11,3,1,12]=>[3,2,11,6,5,8,7,10,9,4,1,12]
[[.,[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]],.]=>[8,9,7,10,5,6,4,11,2,3,1,12]=>[2,5,8,9,7,10,6,4,11,3,1,12]=>[3,2,11,6,5,10,9,8,7,4,1,12]
[[.,[[.,.],[[.,[[.,[[.,.],[[.,.],.]]],.]],.]]],.]=>[8,9,6,7,5,10,4,11,2,3,1,12]=>[2,6,8,9,7,5,10,4,11,3,1,12]=>[3,2,11,10,7,6,9,8,5,4,1,12]
[[.,[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]],.]=>[7,8,6,9,5,10,4,11,2,3,1,12]=>[2,7,8,6,9,5,10,4,11,3,1,12]=>[3,2,11,10,9,8,7,6,5,4,1,12]
[[.,[[.,[[.,.],[[.,.],[[.,.],[[.,.],.]]]]],.]],.]=>[9,10,7,8,5,6,3,4,2,11,1,12]=>[3,5,7,9,10,8,6,4,2,11,1,12]=>[11,4,3,6,5,8,7,10,9,2,1,12]
[[.,[[.,[[.,.],[[.,.],[[.,[[.,.],.]],.]]]],.]],.]=>[8,9,7,10,5,6,3,4,2,11,1,12]=>[3,5,8,9,7,10,6,4,2,11,1,12]=>[11,4,3,6,5,10,9,8,7,2,1,12]
[[.,[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]],.]=>[8,9,6,7,5,10,3,4,2,11,1,12]=>[3,6,8,9,7,5,10,4,2,11,1,12]=>[11,4,3,10,7,6,9,8,5,2,1,12]
[[.,[[.,[[.,.],[[.,[[.,[[.,.],.]],.]],.]]],.]],.]=>[7,8,6,9,5,10,3,4,2,11,1,12]=>[3,7,8,6,9,5,10,4,2,11,1,12]=>[11,4,3,10,9,8,7,6,5,2,1,12]
[[.,[[.,[[.,[[.,.],[[.,.],[[.,.],.]]]],.]],.]],.]=>[8,9,6,7,4,5,3,10,2,11,1,12]=>[4,6,8,9,7,5,3,10,2,11,1,12]=>[11,10,5,4,7,6,9,8,3,2,1,12]
[[.,[[.,[[.,[[.,.],[[.,[[.,.],.]],.]]],.]],.]],.]=>[7,8,6,9,4,5,3,10,2,11,1,12]=>[4,7,8,6,9,5,3,10,2,11,1,12]=>[11,10,5,4,9,8,7,6,3,2,1,12]
[[.,[[.,[[.,[[.,[[.,.],[[.,.],.]]],.]],.]],.]],.]=>[7,8,5,6,4,9,3,10,2,11,1,12]=>[5,7,8,6,4,9,3,10,2,11,1,12]=>[11,10,9,6,5,8,7,4,3,2,1,12]
[[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.]=>[6,7,5,8,4,9,3,10,2,11,1,12]=>[6,7,5,8,4,9,3,10,2,11,1,12]=>[11,10,9,8,7,6,5,4,3,2,1,12]
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]]=>[7,5,6,4,8,3,9,2,10,1]=>[5,7,6,4,8,3,9,2,10,1]=>[10,9,8,6,5,7,4,3,2,1]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[10,8,6,4,2,1,3,5,7,9]=>[2,4,6,8,10,1,3,5,7,9]=>[10,2,1,4,3,6,5,8,7,9]
[.,[[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]],.]]=>[8,6,7,5,9,4,10,3,11,2,12,1]=>[6,8,7,5,9,4,10,3,11,2,12,1]=>[12,11,10,9,7,6,8,5,4,3,2,1]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[12,10,8,6,4,2,1,3,5,7,9,11]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[12,2,1,4,3,6,5,8,7,10,9,11]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>[9,2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,9,7,8]=>[2,1,3,4,5,6,9,7,8]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,9,1]=>[9,3,2,4,5,6,7,8,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>[10,2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,10,8,9]=>[2,1,3,4,5,6,7,10,8,9]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>[9,3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,9,7,8]=>[1,3,2,4,5,6,9,7,8]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>[9,2,3,1,4,5,6,7,8]=>[2,3,1,4,5,6,9,7,8]=>[3,2,1,4,5,6,9,7,8]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]]=>[4,2,3,5,6,7,8,9,1]=>[2,4,3,5,6,7,8,9,1]=>[9,2,4,3,5,6,7,8,1]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>[3,4,2,5,6,7,8,9,1]=>[3,4,2,5,6,7,8,9,1]=>[9,4,3,2,5,6,7,8,1]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,10,1]=>[3,2,4,5,6,7,8,9,10,1]=>[10,3,2,4,5,6,7,8,9,1]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,11,1]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,2,3,4,5,6,7,8,9,10,1]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,8,7]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,7,8,6]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>[6,7,8,9,1,2,3,4,5]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,6,7,8,5]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>[5,6,7,8,9,1,2,3,4]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,5,6,7,8,4]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>[4,5,6,7,8,9,1,2,3]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,4,5,6,7,8,3]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,8,9,7]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,9,8]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]]=>[8,7,9,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,9,8,7,6]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>[8,9,10,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,8,9,7]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]]=>[7,6,8,9,1,2,3,4,5]=>[1,2,3,4,7,6,8,9,5]=>[1,2,3,4,9,7,6,8,5]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[7,8,9,10,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,7,8,9,6]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]]=>[6,5,7,8,9,1,2,3,4]=>[1,2,3,6,5,7,8,9,4]=>[1,2,3,9,6,5,7,8,4]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[6,7,8,9,10,1,2,3,4,5]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,6,7,8,9,5]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]]=>[5,4,6,7,8,9,1,2,3]=>[1,2,5,4,6,7,8,9,3]=>[1,2,9,5,4,6,7,8,3]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>[5,6,7,8,9,10,1,2,3,4]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,5,6,7,8,9,4]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]=>[4,3,5,6,7,8,9,1,2]=>[1,4,3,5,6,7,8,9,2]=>[1,9,4,3,5,6,7,8,2]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>[4,5,6,7,8,9,10,1,2,3]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,4,5,6,7,8,9,3]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[3,4,5,6,7,8,9,10,1,2]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,3,4,5,6,7,8,9,2]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,5,4,3,1,2]=>[1,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,2]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]=>[7,8,6,5,4,3,2,1,9]=>[7,8,6,5,4,3,2,1,9]=>[2,3,4,5,6,8,7,1,9]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[8,9,7,6,5,4,3,1,2]=>[1,8,9,7,6,5,4,3,2]=>[1,3,4,5,6,7,9,8,2]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,6,5,4,3,1,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,10,2]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[2,3,4,5,6,7,8,9,10,1,11]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]=>[8,9,7,6,5,4,3,2,1,10]=>[8,9,7,6,5,4,3,2,1,10]=>[2,3,4,5,6,7,9,8,1,10]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]=>[7,6,8,5,4,3,2,1,9]=>[7,6,8,5,4,3,2,1,9]=>[2,3,4,5,8,7,6,1,9]
[[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]=>[8,6,7,5,4,3,2,1,9]=>[6,8,7,5,4,3,2,1,9]=>[2,3,4,5,7,6,8,1,9]
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[8,7,9,6,5,4,3,1,2]=>[1,8,7,9,6,5,4,3,2]=>[1,3,4,5,6,9,8,7,2]
[[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[9,7,8,6,5,4,3,1,2]=>[1,7,9,8,6,5,4,3,2]=>[1,3,4,5,6,8,7,9,2]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[9,10,8,7,6,5,4,3,1,2]=>[1,9,10,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,10,9,2]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[11,10,9,8,7,6,5,4,3,1,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,3,4,5,6,7,8,9,10,11,2]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]=>[6,5,7,4,8,3,9,2,10,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,9,8,7,6,5,4,3,2,1]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>[12,11,10,9,8,7,6,5,4,3,2,1]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[9,8,7,6,5,4,2,1,3]=>[2,9,8,7,6,5,4,1,3]=>[4,2,1,5,6,7,8,9,3]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>[9,8,7,6,5,3,2,1,4]=>[3,9,8,7,6,5,2,1,4]=>[2,5,3,1,6,7,8,9,4]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>[9,8,7,6,4,3,2,1,5]=>[4,9,8,7,6,3,2,1,5]=>[2,3,6,4,1,7,8,9,5]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>[9,8,7,5,4,3,2,1,6]=>[5,9,8,7,4,3,2,1,6]=>[2,3,4,7,5,1,8,9,6]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>[9,8,6,5,4,3,2,1,7]=>[6,9,8,5,4,3,2,1,7]=>[2,3,4,5,8,6,1,9,7]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[9,7,6,5,4,3,2,1,8]=>[7,9,6,5,4,3,2,1,8]=>[2,3,4,5,6,9,7,1,8]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[9,8,7,6,5,4,1,2,3]=>[1,2,9,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,9,3]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[10,9,8,7,6,5,4,2,1,3]=>[2,10,9,8,7,6,5,4,1,3]=>[4,2,1,5,6,7,8,9,10,3]
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]]=>[9,8,7,6,5,2,3,1,4]=>[2,3,9,8,7,6,5,1,4]=>[5,2,3,1,6,7,8,9,4]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[10,9,8,7,6,5,3,2,1,4]=>[3,10,9,8,7,6,5,2,1,4]=>[2,5,3,1,6,7,8,9,10,4]
[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]]=>[9,8,7,6,3,4,2,1,5]=>[3,4,9,8,7,6,2,1,5]=>[2,6,3,4,1,7,8,9,5]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>[10,9,7,6,5,4,3,2,1,8]=>[7,10,9,6,5,4,3,2,1,8]=>[2,3,4,5,6,9,7,1,10,8]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>[10,8,7,6,5,4,3,2,1,9]=>[8,10,7,6,5,4,3,2,1,9]=>[2,3,4,5,6,7,10,8,1,9]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[2,3,4,5,6,7,1,8,9]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[2,3,4,5,6,1,7,8,9]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[2,3,4,5,6,7,8,1,9,10]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]
[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]=>[7,6,5,4,3,1,2,8,9]=>[1,7,6,5,4,3,2,8,9]=>[1,3,4,5,6,7,2,8,9]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]=>[4,3,1,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]=>[3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]
[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]=>[9,8,7,5,6,4,3,2,1]=>[5,9,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,9,1]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,4,5,3,2,1]=>[4,9,8,7,6,5,3,2,1]=>[2,3,5,4,6,7,8,9,1]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,5,3,4,2,1]=>[3,9,8,7,6,5,4,2,1]=>[2,4,3,5,6,7,8,9,1]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,5,4,2,3,1]=>[2,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,1]
[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]=>[10,8,9,7,6,5,4,3,2,1]=>[8,10,9,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,9,8,10,1]
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>[10,9,8,6,7,5,4,3,2,1]=>[6,10,9,8,7,5,4,3,2,1]=>[2,3,4,5,7,6,8,9,10,1]
[.,[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,5,6,4,3,2,1]=>[5,10,9,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,9,10,1]
[.,[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,6,5,4,2,3,1]=>[2,10,9,8,7,6,5,4,3,1]=>[3,2,4,5,6,7,8,9,10,1]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>[9,2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,9,8,1]=>[8,2,3,4,5,6,7,9,1]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]=>[8,2,1,3,4,5,6,7,9]=>[2,1,3,4,5,8,6,7,9]=>[2,1,3,4,5,8,6,7,9]
[.,[[[[[[[.,.],.],.],.],.],[.,.]],.]]=>[8,2,3,4,5,6,7,9,1]=>[2,3,4,5,6,8,7,9,1]=>[9,2,3,4,5,6,8,7,1]
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]=>[8,9,2,3,4,5,6,7,1]=>[2,3,4,5,6,8,9,7,1]=>[7,2,3,4,5,6,9,8,1]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]=>[10,2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,10,9,1]=>[9,2,3,4,5,6,7,8,10,1]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.]=>[4,2,1,3,5,6,7,8,9]=>[2,4,1,3,5,6,7,8,9]=>[4,2,1,3,5,6,7,8,9]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]]=>[3,4,5,6,7,8,2,9,1]=>[3,4,5,6,7,8,2,9,1]=>[9,8,3,4,5,6,7,2,1]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,1,9]=>[8,2,3,4,5,6,7,1,9]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]
[[[[[.,[[[[.,.],.],.],.]],.],.],.],.]=>[2,3,4,5,1,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]=>[5,2,3,4,1,6,7,8,9]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.]=>[2,3,4,5,6,7,1,8,9]=>[2,3,4,5,6,7,1,8,9]=>[7,2,3,4,5,6,1,8,9]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.]=>[4,2,3,1,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.]=>[5,2,3,4,1,6,7,8,9]=>[2,3,5,4,1,6,7,8,9]=>[4,2,3,5,1,6,7,8,9]
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.]=>[6,2,3,4,5,1,7,8,9]=>[2,3,4,6,5,1,7,8,9]=>[5,2,3,4,6,1,7,8,9]
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.]=>[7,2,3,4,5,6,1,8,9]=>[2,3,4,5,7,6,1,8,9]=>[6,2,3,4,5,7,1,8,9]
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]=>[8,2,3,4,5,6,7,1,9]=>[2,3,4,5,6,8,7,1,9]=>[7,2,3,4,5,6,8,1,9]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,9,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>[9,2,3,4,5,6,7,8,1,10]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.]=>[4,1,2,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]=>[5,1,2,3,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.]=>[6,1,2,3,4,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>[7,1,2,3,4,5,6,8,9]=>[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,7,6,8,9]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>[8,1,2,3,4,5,6,7,9]=>[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]=>[3,1,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.]=>[4,1,2,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]=>[5,1,2,3,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]=>[6,1,2,3,4,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]=>[7,1,2,3,4,5,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]=>[8,1,2,3,4,5,6,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>[9,1,2,3,4,5,6,7,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>[9,3,4,5,6,7,8,1,2]=>[1,3,4,5,6,7,9,8,2]=>[1,8,3,4,5,6,7,9,2]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>[9,7,6,5,4,3,2,8,1]=>[7,9,6,5,4,3,2,8,1]=>[8,3,4,5,6,9,7,2,1]
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]]=>[6,5,4,3,2,7,8,9,1]=>[6,5,4,3,2,7,8,9,1]=>[9,3,4,5,6,2,7,8,1]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[10,9,8,7,6,5,4,1,2,3]=>[1,2,10,9,8,7,6,5,4,3]=>[1,2,4,5,6,7,8,9,10,3]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[9,8,7,6,5,4,3,1,2,10]=>[1,9,8,7,6,5,4,3,2,10]=>[1,3,4,5,6,7,8,9,2,10]
[.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]]=>[8,7,9,6,5,4,2,3,1]=>[2,8,7,9,6,5,4,3,1]=>[3,2,4,5,6,9,8,7,1]
[.,[[[[[[.,.],.],.],.],[[.,.],.]],.]]=>[7,8,2,3,4,5,6,9,1]=>[2,3,4,5,7,8,6,9,1]=>[9,2,3,4,5,8,7,6,1]
[.,[[[[[.,.],.],.],.],[[[.,.],.],.]]]=>[7,8,9,2,3,4,5,6,1]=>[2,3,4,5,7,8,9,6,1]=>[6,2,3,4,5,9,7,8,1]
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.]=>[3,4,5,1,2,6,7,8,9]=>[1,3,4,5,2,6,7,8,9]=>[1,5,3,4,2,6,7,8,9]
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.]=>[4,5,1,2,3,6,7,8,9]=>[1,2,4,5,3,6,7,8,9]=>[1,2,5,4,3,6,7,8,9]
[[[[[[[[.,.],.],.],.],.],[[.,.],.]],.],.]=>[7,8,1,2,3,4,5,6,9,10]=>[1,2,3,4,5,7,8,6,9,10]=>[1,2,3,4,5,8,7,6,9,10]
[[[[[[[.,.],.],.],.],.],[[[.,.],.],.]],.]=>[7,8,9,1,2,3,4,5,6,10]=>[1,2,3,4,5,7,8,9,6,10]=>[1,2,3,4,5,9,7,8,6,10]
[.,[.,[[[[.,[[[.,.],.],.]],.],.],.]]]=>[4,5,6,3,7,8,9,2,1]=>[4,5,6,3,7,8,9,2,1]=>[2,9,6,4,5,3,7,8,1]
[.,[[[[[.,[[[[.,.],.],.],.]],.],.],.],.]]=>[3,4,5,6,2,7,8,9,10,1]=>[3,4,5,6,2,7,8,9,10,1]=>[10,6,3,4,5,2,7,8,9,1]
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.]=>[5,3,1,2,4,6,7,8,9]=>[1,3,5,2,4,6,7,8,9]=>[1,5,3,2,4,6,7,8,9]
[.,[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]]=>[6,2,3,4,5,7,8,9,10,1]=>[2,3,4,6,5,7,8,9,10,1]=>[10,2,3,4,6,5,7,8,9,1]
[[.,.],[.,[[[[[[.,.],.],.],.],.],.]]]=>[4,5,6,7,8,9,3,1,2]=>[1,4,5,6,7,8,9,3,2]=>[1,3,9,4,5,6,7,8,2]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>[4,5,6,7,8,9,2,1,3]=>[2,4,5,6,7,8,9,1,3]=>[9,2,1,4,5,6,7,8,3]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.]=>[3,4,5,6,7,8,1,2,9]=>[1,3,4,5,6,7,8,2,9]=>[1,8,3,4,5,6,7,2,9]
[.,[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]]=>[6,7,8,5,4,3,2,9,1]=>[6,7,8,5,4,3,2,9,1]=>[9,3,4,5,8,6,7,2,1]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>[10,9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,9,10,8]
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]=>[6,7,8,5,4,3,2,1,9]=>[6,7,8,5,4,3,2,1,9]=>[2,3,4,5,8,6,7,1,9]
[[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]],.]=>[6,5,4,3,2,7,8,1,9]=>[6,5,4,3,2,7,8,1,9]=>[8,3,4,5,6,2,7,1,9]
[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.]=>[7,8,9,6,5,4,3,2,1,10]=>[7,8,9,6,5,4,3,2,1,10]=>[2,3,4,5,6,9,7,8,1,10]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]]=>[10,9,8,7,6,5,4,3,2,11,1]=>[10,9,8,7,6,5,4,3,2,11,1]=>[11,3,4,5,6,7,8,9,10,2,1]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>[9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,7,8,9,6]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>[9,8,7,6,1,2,3,4,5]=>[1,2,3,4,9,8,7,6,5]=>[1,2,3,4,6,7,8,9,5]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[9,8,7,6,5,1,2,3,4]=>[1,2,3,9,8,7,6,5,4]=>[1,2,3,5,6,7,8,9,4]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>[9,7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,9,6,8]=>[1,2,3,4,5,9,7,6,8]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>[10,9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,10,9,8,7]=>[1,2,3,4,5,6,8,9,10,7]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>[10,9,8,7,1,2,3,4,5,6]=>[1,2,3,4,5,10,9,8,7,6]=>[1,2,3,4,5,7,8,9,10,6]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[10,9,8,7,6,1,2,3,4,5]=>[1,2,3,4,10,9,8,7,6,5]=>[1,2,3,4,6,7,8,9,10,5]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[10,9,8,7,6,5,1,2,3,4]=>[1,2,3,10,9,8,7,6,5,4]=>[1,2,3,5,6,7,8,9,10,4]
[[[[[[.,[[.,[.,.]],.]],.],.],.],.],.]=>[3,2,4,1,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]
[[[[[.,[[.,.],.]],.],.],.],[[.,.],.]]=>[8,9,2,3,1,4,5,6,7]=>[2,3,1,4,5,8,9,6,7]=>[3,2,1,4,5,9,6,8,7]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]=>[10,9,11,8,7,6,5,4,3,2,1]=>[10,9,11,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,11,10,9,1]
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[9,8,10,7,6,5,4,3,1,2]=>[1,9,8,10,7,6,5,4,3,2]=>[1,3,4,5,6,7,10,9,8,2]
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]=>[8,9,7,6,5,4,2,3,1]=>[2,8,9,7,6,5,4,3,1]=>[3,2,4,5,6,7,9,8,1]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]=>[10,11,9,8,7,6,5,4,3,2,1]=>[10,11,9,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,9,11,10,1]
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]=>[7,8,6,5,4,3,2,9,1]=>[7,8,6,5,4,3,2,9,1]=>[9,3,4,5,6,8,7,2,1]
[.,[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]]=>[8,9,7,6,5,4,3,2,10,1]=>[8,9,7,6,5,4,3,2,10,1]=>[10,3,4,5,6,7,9,8,2,1]
[.,[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]]=>[7,6,8,5,4,3,2,9,1]=>[7,6,8,5,4,3,2,9,1]=>[9,3,4,5,8,7,6,2,1]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.]=>[3,4,2,1,5,6,7,8,9]=>[3,4,2,1,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]
[.,[.,[.,[[[[[.,[.,.]],.],.],.],.]]]]=>[5,4,6,7,8,9,3,2,1]=>[5,4,6,7,8,9,3,2,1]=>[2,3,9,5,4,6,7,8,1]
[.,[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]]=>[6,5,7,8,9,4,3,2,1]=>[6,5,7,8,9,4,3,2,1]=>[2,3,4,9,6,5,7,8,1]
[.,[.,[.,[.,[[[[[.,[.,.]],.],.],.],.]]]]]=>[6,5,7,8,9,10,4,3,2,1]=>[6,5,7,8,9,10,4,3,2,1]=>[2,3,4,10,6,5,7,8,9,1]
[.,[.,[[.,[[[[.,[.,.]],.],.],.]],.]]]=>[5,4,6,7,8,3,9,2,1]=>[5,4,6,7,8,3,9,2,1]=>[2,9,8,5,4,6,7,3,1]
[.,[.,[.,[[[[[[.,[.,.]],.],.],.],.],.]]]]=>[5,4,6,7,8,9,10,3,2,1]=>[5,4,6,7,8,9,10,3,2,1]=>[2,3,10,5,4,6,7,8,9,1]
[.,[.,[.,[.,[[[[[[.,[.,.]],.],.],.],.],.]]]]]=>[6,5,7,8,9,10,11,4,3,2,1]=>[6,5,7,8,9,10,11,4,3,2,1]=>[2,3,4,11,6,5,7,8,9,10,1]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.]=>[7,6,5,4,3,2,8,1,9]=>[7,6,5,4,3,2,8,1,9]=>[8,3,4,5,6,7,2,1,9]
[[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.],.]=>[6,5,4,3,2,7,1,8,9]=>[6,5,4,3,2,7,1,8,9]=>[7,3,4,5,6,2,1,8,9]
[[[[.,[[.,[.,[.,[.,.]]]],.]],.],.],.]=>[5,4,3,2,6,1,7,8,9]=>[5,4,3,2,6,1,7,8,9]=>[6,3,4,5,2,1,7,8,9]
[[[[[.,[[.,[.,[.,.]]],.]],.],.],.],.]=>[4,3,2,5,1,6,7,8,9]=>[4,3,2,5,1,6,7,8,9]=>[5,3,4,2,1,6,7,8,9]
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.]=>[4,5,3,2,1,6,7,8,9]=>[4,5,3,2,1,6,7,8,9]=>[2,3,5,4,1,6,7,8,9]
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.]=>[3,2,4,5,6,7,8,1,9]=>[3,2,4,5,6,7,8,1,9]=>[8,3,2,4,5,6,7,1,9]
[.,[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]]=>[9,6,7,8,5,4,3,2,1]=>[6,7,9,8,5,4,3,2,1]=>[2,3,4,5,8,6,7,9,1]
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]=>[8,7,6,5,4,2,3,1,9]=>[2,8,7,6,5,4,3,1,9]=>[3,2,4,5,6,7,8,1,9]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>[9,2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,9,1,8]=>[9,2,3,4,5,6,7,1,8]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.]=>[3,4,1,2,5,6,7,8,9]=>[1,3,4,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]
[.,[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]]=>[3,4,5,6,7,8,9,2,10,1]=>[3,4,5,6,7,8,9,2,10,1]=>[10,9,3,4,5,6,7,8,2,1]
[[.,.],[[.,[[[[[.,.],.],.],.],.]],.]]=>[4,5,6,7,8,3,9,1,2]=>[1,4,5,6,7,8,3,9,2]=>[1,9,8,4,5,6,7,3,2]
[[.,[.,[[[[[.,.],.],.],.],.]]],[.,.]]=>[9,3,4,5,6,7,2,1,8]=>[3,4,5,6,7,9,2,1,8]=>[2,9,3,4,5,6,7,1,8]
[.,[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]]=>[4,5,6,7,8,9,10,2,3,1]=>[2,4,5,6,7,8,9,10,3,1]=>[3,2,10,4,5,6,7,8,9,1]
[[[[.,[.,[[[[.,.],.],.],.]]],.],.],.]=>[3,4,5,6,2,1,7,8,9]=>[3,4,5,6,2,1,7,8,9]=>[2,6,3,4,5,1,7,8,9]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[[.,.],.]]=>[10,11,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,11,9]=>[1,2,3,4,5,6,7,8,11,10,9]
[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>[8,7,6,5,4,1,2,3,9]=>[1,2,8,7,6,5,4,3,9]=>[1,2,4,5,6,7,8,3,9]
[.,[[[[[[.,.],.],.],.],.],[.,[.,.]]]]=>[9,8,2,3,4,5,6,7,1]=>[2,3,4,5,6,9,8,7,1]=>[7,2,3,4,5,6,8,9,1]
[.,[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]]=>[10,9,2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,10,9,8,1]=>[8,2,3,4,5,6,7,9,10,1]
[[.,[.,[[[[[[.,.],.],.],.],.],.]]],.]=>[3,4,5,6,7,8,2,1,9]=>[3,4,5,6,7,8,2,1,9]=>[2,8,3,4,5,6,7,1,9]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]]=>[10,3,1,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,10,8,9]=>[1,3,2,4,5,6,7,10,8,9]
[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]]=>[9,2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,9,7,8]=>[6,2,3,4,5,1,9,7,8]
[[[.,[.,[[[[[.,.],.],.],.],.]]],.],.]=>[3,4,5,6,7,2,1,8,9]=>[3,4,5,6,7,2,1,8,9]=>[2,7,3,4,5,6,1,8,9]
[[[.,.],.],[[[.,[[[.,.],.],.]],.],.]]=>[5,6,7,4,8,9,1,2,3]=>[1,2,5,6,7,4,8,9,3]=>[1,2,9,7,5,6,4,8,3]
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.]=>[6,7,5,4,3,2,1,8,9]=>[6,7,5,4,3,2,1,8,9]=>[2,3,4,5,7,6,1,8,9]
[[.,[[[[[.,.],.],.],.],.]],[.,[.,.]]]=>[9,8,2,3,4,5,6,1,7]=>[2,3,4,5,6,9,8,1,7]=>[8,2,3,4,5,6,1,9,7]
[[[[[.,[.,[[[.,.],.],.]]],.],.],.],.]=>[3,4,5,2,1,6,7,8,9]=>[3,4,5,2,1,6,7,8,9]=>[2,5,3,4,1,6,7,8,9]
[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]]=>[7,6,8,9,5,4,3,2,1]=>[7,6,8,9,5,4,3,2,1]=>[2,3,4,5,9,7,6,8,1]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]]]=>[11,9,10,8,7,6,5,4,3,2,1]=>[9,11,10,8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,10,9,11,1]
[.,[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]]=>[7,6,8,5,9,4,3,2,1]=>[7,6,8,5,9,4,3,2,1]=>[2,3,4,9,8,7,6,5,1]
[.,[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]]]=>[8,7,9,10,6,5,4,3,2,1]=>[8,7,9,10,6,5,4,3,2,1]=>[2,3,4,5,6,10,8,7,9,1]
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
Foata bijection
Description
Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
- If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
- If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
- $1$
- $|1|4 \to 14$
- $|14|2 \to 412$
- $|4|1|2|5 \to 4125$
- $|4|125|3 \to 45123.$
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
- the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
- the set of left-to-right maxima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
- the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
- the set of maximal elements in the decreasing runs of $\pi$ is the set of weak deficiency positions of $\chi(\pi)$, and
- the set of minimal elements in the decreasing runs of $\pi$ is the set of weak deficiency values of $\chi(\pi)$.
searching the database
Sorry, this map was not found in the database.