Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00159: Permutations —Demazure product with inverse⟶ Permutations
Mp00238: Permutations —Clarke-Steingrimsson-Zeng⟶ Permutations
Mp00159: Permutations —Demazure product with inverse⟶ Permutations
Mp00238: Permutations —Clarke-Steingrimsson-Zeng⟶ 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]=>[3,2,1]=>[2,3,1]
[[.,.],[.,.]]=>[3,1,2]=>[3,2,1]=>[2,3,1]
[[.,[.,.]],.]=>[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]=>[4,3,2,1]=>[2,3,4,1]
[.,[[.,.],[.,.]]]=>[4,2,3,1]=>[4,3,2,1]=>[2,3,4,1]
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[4,2,3,1]=>[3,4,2,1]
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[4,2,3,1]=>[3,4,2,1]
[[.,.],[.,[.,.]]]=>[4,3,1,2]=>[4,3,2,1]=>[2,3,4,1]
[[.,.],[[.,.],.]]=>[3,4,1,2]=>[4,3,2,1]=>[2,3,4,1]
[[.,[.,.]],[.,.]]=>[4,2,1,3]=>[4,3,2,1]=>[2,3,4,1]
[[[.,.],.],[.,.]]=>[4,1,2,3]=>[4,2,3,1]=>[3,4,2,1]
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1,4]=>[2,3,1,4]
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[3,2,1,4]=>[2,3,1,4]
[[[.,.],[.,.]],.]=>[3,1,2,4]=>[3,2,1,4]=>[2,3,1,4]
[[[.,[.,.]],.],.]=>[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]=>[5,4,3,2,1]=>[2,3,4,5,1]
[.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[5,4,3,2,1]=>[2,3,4,5,1]
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[5,3,2,4,1]=>[4,3,5,2,1]
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[5,3,2,4,1]=>[4,3,5,2,1]
[.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[5,3,2,4,1]=>[4,3,5,2,1]
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[5,2,3,4,1]=>[4,5,2,3,1]
[[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[5,4,3,2,1]=>[2,3,4,5,1]
[[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[5,3,2,4,1]=>[4,3,5,2,1]
[[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[5,2,3,4,1]=>[4,5,2,3,1]
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[4,3,2,1,5]=>[2,3,4,1,5]
[[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[4,2,3,1,5]=>[3,4,2,1,5]
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5]
[[[[.,[.,.]],.],.],.]=>[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]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[6,3,2,4,5,1]=>[5,3,6,2,4,1]
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[6,3,2,4,5,1]=>[5,3,6,2,4,1]
[.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[6,3,2,4,5,1]=>[5,3,6,2,4,1]
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[6,2,3,4,5,1]=>[5,6,2,3,4,1]
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1]=>[5,6,2,3,4,1]
[[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1]
[[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1]
[[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1]
[[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[6,3,2,4,5,1]=>[5,3,6,2,4,1]
[[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[6,2,3,4,5,1]=>[5,6,2,3,4,1]
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[5,3,2,4,1,6]=>[4,3,5,2,1,6]
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[5,3,2,4,1,6]=>[4,3,5,2,1,6]
[[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[5,3,2,4,1,6]=>[4,3,5,2,1,6]
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[5,2,3,4,1,6]=>[4,5,2,3,1,6]
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6]=>[4,5,2,3,1,6]
[[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6]
[[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[5,3,2,4,1,6]=>[4,3,5,2,1,6]
[[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[5,2,3,4,1,6]=>[4,5,2,3,1,6]
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[4,2,3,1,5,6]=>[3,4,2,1,5,6]
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6]=>[3,4,2,1,5,6]
[[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6]
[[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[4,2,3,1,5,6]=>[3,4,2,1,5,6]
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6]
[[[[[.,[.,.]],.],.],.],.]=>[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]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[6,3,7,2,4,5,1]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[7,3,2,4,5,6,1]=>[6,3,7,2,4,5,1]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[7,3,2,4,5,6,1]=>[6,3,7,2,4,5,1]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[6,7,2,3,4,5,1]
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1]=>[6,7,2,3,4,5,1]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[7,6,4,3,5,2,1]=>[2,5,4,6,3,7,1]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[7,6,3,4,5,2,1]=>[2,5,6,3,4,7,1]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[7,5,4,3,2,6,1]=>[6,3,4,5,7,2,1]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[7,5,3,4,2,6,1]=>[6,4,5,3,7,2,1]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[7,4,3,2,5,6,1]=>[6,3,4,7,2,5,1]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[7,3,2,4,5,6,1]=>[6,3,7,2,4,5,1]
[[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[7,2,3,4,5,6,1]=>[6,7,2,3,4,5,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[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]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[5,3,6,2,4,1,7]
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[6,3,2,4,5,1,7]=>[5,3,6,2,4,1,7]
[[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[6,3,2,4,5,1,7]=>[5,3,6,2,4,1,7]
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[5,6,2,3,4,1,7]
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7]=>[5,6,2,3,4,1,7]
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[6,5,3,4,2,1,7]=>[2,4,5,3,6,1,7]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[6,4,3,2,5,1,7]=>[5,3,4,6,2,1,7]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[6,3,2,4,5,1,7]=>[5,3,6,2,4,1,7]
[[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[6,2,3,4,5,1,7]=>[5,6,2,3,4,1,7]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[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]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[4,3,5,2,1,6,7]
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[5,3,2,4,1,6,7]=>[4,3,5,2,1,6,7]
[[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[5,3,2,4,1,6,7]=>[4,3,5,2,1,6,7]
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[4,5,2,3,1,6,7]
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7]=>[4,5,2,3,1,6,7]
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7]
[[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[5,3,2,4,1,6,7]=>[4,3,5,2,1,6,7]
[[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[5,2,3,4,1,6,7]=>[4,5,2,3,1,6,7]
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[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]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]
[[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[3,4,2,1,5,6,7]
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7]=>[3,4,2,1,5,6,7]
[[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]
[[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]
[[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7]
[[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[4,2,3,1,5,6,7]=>[3,4,2,1,5,6,7]
[[[[[.,[.,[.,.]]],.],.],.],.]=>[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]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]
[[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7]
[[[[[[.,[.,.]],.],.],.],.],.]=>[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]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[8,6,7,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[8,7,5,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[7,8,5,6,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[8,6,5,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[8,5,6,7,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[7,5,6,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[8,7,6,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[8,6,7,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[7,6,8,4,5,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[8,7,5,4,6,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[8,6,5,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[8,5,6,4,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[8,6,4,5,7,3,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[7,5,6,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[7,6,4,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[6,7,4,5,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[7,5,4,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[7,4,5,6,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[6,4,5,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[7,8,5,6,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[8,5,6,7,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[6,7,5,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[8,7,6,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[7,8,6,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[7,6,8,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[6,7,8,4,3,5,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[8,7,6,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[7,8,6,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[8,6,7,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[7,6,8,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[6,7,8,3,4,5,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[8,7,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[7,8,5,4,3,6,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[7,8,5,3,4,6,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[8,7,4,3,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[8,7,3,4,5,6,2,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[7,5,6,4,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[7,4,5,6,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[6,4,5,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[7,6,3,4,5,8,2,1]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[7,5,4,3,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[7,5,3,4,6,8,2,1]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[8,7,4,3,5,6,2,1]=>[2,6,4,7,3,5,8,1]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[8,5,6,7,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[7,6,8,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[6,7,8,4,5,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[8,7,4,5,6,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[8,6,5,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,2,3,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,2,3,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[7,8,6,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[8,6,7,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[7,6,8,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[6,7,8,4,3,2,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[8,7,6,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[8,6,7,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[7,6,8,3,4,2,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[7,6,8,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[6,7,8,4,2,3,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[8,6,7,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[6,7,8,3,2,4,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[8,7,6,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[7,8,6,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[8,6,7,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[7,6,8,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[6,7,8,2,3,4,5,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[8,7,5,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[7,8,5,3,4,2,6,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[7,8,4,3,5,2,6,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[8,7,5,3,2,4,6,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[7,8,4,3,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[7,8,3,4,2,5,6,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[7,8,3,2,4,5,6,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[8,6,5,4,3,2,7,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[8,5,6,3,4,2,7,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[8,6,4,3,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[8,6,3,4,5,2,7,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[8,4,5,3,6,2,7,1]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[8,5,6,4,2,3,7,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[8,6,4,2,3,5,7,1]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[8,5,3,4,2,6,7,1]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[8,5,4,2,3,6,7,1]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>[7,4,5,6,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[6,4,5,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[7,5,6,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[6,5,7,3,4,2,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[7,4,5,3,6,2,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[7,5,4,6,3,8,2,1]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[6,4,5,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[7,5,4,6,3,8,2,1]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[7,5,4,6,3,8,2,1]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[7,5,4,6,3,8,2,1]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[6,5,3,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[7,5,4,6,3,8,2,1]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[5,6,3,4,7,2,8,1]=>[8,6,4,3,5,2,7,1]=>[7,5,4,6,3,8,2,1]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[8,6,3,4,5,2,7,1]=>[7,5,6,3,4,8,2,1]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>[6,7,5,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]=>[7,5,6,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[4,5,6,7,2,3,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[6,7,5,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[6,5,7,3,2,4,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[7,6,5,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[5,6,7,2,3,4,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[6,7,4,3,2,5,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[7,6,4,2,3,5,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[6,7,3,2,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[6,7,2,3,4,5,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[7,5,2,3,4,6,8,1]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[7,4,5,3,8,2,6,1]
[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[8,5,3,4,2,6,7,1]=>[7,4,5,3,8,2,6,1]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[7,8,5,6,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,3,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,3,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,3,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[5,6,4,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,3,1,2]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[8,7,6,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[7,8,6,3,4,5,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[7,8,5,4,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[8,7,4,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[7,8,4,5,3,6,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[7,8,5,3,4,6,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[8,7,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>[8,5,4,6,3,7,1,2]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[8,5,4,3,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[8,5,3,4,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[8,4,3,5,6,7,1,2]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[7,5,4,6,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[4,5,6,7,3,8,1,2]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[7,5,6,3,4,8,1,2]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[7,6,3,4,5,8,1,2]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[7,5,4,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>[7,4,5,3,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[7,5,3,4,6,8,1,2]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[6,5,4,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[2,6,4,7,3,5,8,1]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[5,4,6,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[2,6,4,7,3,5,8,1]
[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[4,5,6,3,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[2,6,4,7,3,5,8,1]
[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[5,6,3,4,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[2,6,4,7,3,5,8,1]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[6,4,3,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[2,6,4,7,3,5,8,1]
[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[6,3,4,5,7,8,1,2]=>[8,7,4,3,5,6,2,1]=>[2,6,4,7,3,5,8,1]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[2,6,7,3,4,5,8,1]
[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[4,5,3,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[2,6,7,3,4,5,8,1]
[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[5,3,4,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[2,6,7,3,4,5,8,1]
[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[4,3,5,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[2,6,7,3,4,5,8,1]
[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[8,7,3,4,5,6,2,1]=>[2,6,7,3,4,5,8,1]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[7,6,8,4,5,2,1,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,2,1,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,2,1,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[8,5,6,4,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,1,2,3]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[6,4,5,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[7,8,6,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[8,6,7,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[7,6,8,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[6,7,8,4,3,2,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[8,7,6,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[7,8,6,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[6,7,8,3,4,2,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,2,3,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[8,7,6,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[8,6,7,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[6,7,8,3,2,4,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[8,7,6,2,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,3,1,2,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[8,7,6,3,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[6,7,8,3,4,1,2,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,2,1,3,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[8,7,6,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[7,6,8,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[6,7,8,3,2,1,4,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[8,7,6,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[7,6,8,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[6,7,8,2,3,1,4,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[8,7,6,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[7,8,6,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[6,7,8,3,1,2,4,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[8,7,6,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[7,8,6,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[8,7,5,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[7,8,5,4,3,2,1,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[8,7,5,3,4,2,1,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[8,7,3,4,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[7,8,3,4,5,2,1,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[8,7,4,5,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,2,3,1,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[8,7,5,3,2,4,1,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[8,7,4,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[7,8,4,3,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[8,7,3,4,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[7,8,3,4,2,5,1,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,3,1,2,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[7,8,5,4,3,1,2,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[8,7,5,3,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[7,8,5,3,4,1,2,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[8,7,4,5,1,2,3,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[8,7,5,3,2,1,4,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[7,8,5,3,2,1,4,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[8,7,5,2,3,1,4,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[8,7,5,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[7,8,5,3,1,2,4,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[8,7,4,3,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[7,8,4,3,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[8,7,3,4,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[7,8,3,4,2,1,5,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[7,8,4,2,3,1,5,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[8,7,3,2,4,1,5,6]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[7,8,3,2,4,1,5,6]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[7,8,2,3,4,1,5,6]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[7,8,4,3,1,2,5,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[8,7,3,4,1,2,5,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[7,8,3,4,1,2,5,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[7,8,4,2,1,3,5,6]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[7,8,4,1,2,3,5,6]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[8,7,3,2,1,4,5,6]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[7,8,2,3,1,4,5,6]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[7,8,3,1,2,4,5,6]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[8,7,2,1,3,4,5,6]=>[8,7,4,3,5,6,2,1]=>[2,6,4,7,3,5,8,1]
[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[7,8,2,1,3,4,5,6]=>[8,7,4,3,5,6,2,1]=>[2,6,4,7,3,5,8,1]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[8,7,3,4,5,6,2,1]=>[2,6,7,3,4,5,8,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[8,6,5,4,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[8,5,6,4,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[8,6,5,3,4,2,1,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[8,5,6,3,4,2,1,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[8,4,5,3,6,2,1,7]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[8,3,4,5,6,2,1,7]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,2,3,1,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[8,5,6,4,2,3,1,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[8,6,5,3,2,4,1,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[8,6,5,2,3,4,1,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[8,5,6,2,3,4,1,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[8,6,4,2,3,5,1,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[8,6,3,2,4,5,1,7]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>[8,5,2,3,4,6,1,7]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,3,1,2,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[8,6,3,4,5,1,2,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[8,4,5,3,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[8,4,3,5,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[8,3,4,5,6,1,2,7]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,2,1,3,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[8,4,5,6,1,2,3,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[8,6,5,3,2,1,4,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[8,5,6,3,2,1,4,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[8,6,5,2,3,1,4,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[8,5,6,3,1,2,4,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[8,6,5,2,1,3,4,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[8,5,6,2,1,3,4,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[8,6,5,1,2,3,4,7]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[8,5,6,1,2,3,4,7]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[8,6,4,2,3,1,5,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[8,6,3,2,4,1,5,7]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[8,6,3,4,1,2,5,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[8,6,4,1,2,3,5,7]=>[8,7,6,4,5,3,2,1]=>[2,3,5,6,4,7,8,1]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[8,6,3,2,1,4,5,7]=>[8,7,5,4,3,6,2,1]=>[2,6,4,5,7,3,8,1]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[8,4,5,3,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[8,4,3,5,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[8,3,4,5,2,1,6,7]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[8,4,5,2,3,1,6,7]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[8,5,2,3,4,1,6,7]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>[8,4,2,3,5,1,6,7]=>[8,6,4,3,5,2,7,1]=>[7,5,4,6,3,8,2,1]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[8,5,3,4,1,2,6,7]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[8,5,4,2,1,3,6,7]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[8,5,3,2,1,4,6,7]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[8,5,3,1,2,4,6,7]=>[8,6,5,4,3,2,7,1]=>[7,3,4,5,6,8,2,1]
[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[8,5,1,2,3,4,6,7]=>[8,6,3,4,5,2,7,1]=>[7,5,6,3,4,8,2,1]
[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>[8,5,3,4,2,6,7,1]=>[7,4,5,3,8,2,6,1]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[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]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[7,5,6,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[7,4,5,6,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[7,6,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>[6,7,5,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[7,5,6,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]=>[6,5,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[5,6,7,3,4,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[7,6,3,4,5,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[7,4,5,3,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>[7,3,4,5,6,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[7,6,3,4,5,2,1,8]=>[2,5,6,3,4,7,1,8]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[6,7,4,5,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>[6,5,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[5,6,4,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[4,5,6,7,2,3,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[5,6,7,3,2,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[6,7,5,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[7,5,6,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[6,5,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[5,6,7,2,3,4,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[6,7,4,3,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[6,7,3,4,2,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[7,6,4,2,3,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[7,6,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[6,7,3,2,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[7,6,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>[6,7,2,3,4,5,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[7,4,5,3,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[7,5,3,4,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[7,4,3,5,2,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>[7,4,5,2,3,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[7,5,3,2,4,6,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[5,4,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[6,4,5,3,7,2,1,8]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[6,4,5,3,7,2,1,8]
[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[7,5,3,4,2,6,1,8]=>[6,4,5,3,7,2,1,8]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>[6,3,2,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[6,4,5,3,7,2,1,8]
[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[6,2,3,4,5,7,1,8]=>[7,5,3,4,2,6,1,8]=>[6,4,5,3,7,2,1,8]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[4,5,6,7,3,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[7,5,6,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>[6,5,7,3,4,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[6,7,3,4,5,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[7,5,3,4,6,1,2,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[3,4,5,6,7,1,2,8]=>[7,6,3,4,5,2,1,8]=>[2,5,6,3,4,7,1,8]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[4,5,6,7,2,1,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[7,6,5,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[7,5,6,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[7,6,4,5,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[5,6,4,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[5,4,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[4,5,6,7,1,2,3,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[7,6,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>[6,7,5,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[7,5,6,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[6,5,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[5,6,7,2,3,1,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[7,5,6,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[5,6,7,3,1,2,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[7,6,5,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[5,6,7,2,1,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[7,6,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[6,7,5,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[7,5,6,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[6,5,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[7,6,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[6,7,4,3,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>[6,7,3,4,2,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>[7,6,4,2,3,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[7,6,3,2,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[7,6,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[6,7,2,3,4,1,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[7,6,4,2,1,3,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[7,6,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>[6,7,3,2,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>[7,6,2,3,1,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[6,7,3,1,2,4,5,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[6,7,1,2,3,4,5,8]=>[7,6,3,4,5,2,1,8]=>[2,5,6,3,4,7,1,8]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[7,5,2,3,4,1,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[7,2,3,4,5,1,6,8]=>[7,6,3,4,5,2,1,8]=>[2,5,6,3,4,7,1,8]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[7,5,3,4,1,2,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[7,4,5,1,2,3,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[7,5,3,2,1,4,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[7,5,3,1,2,4,6,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8]
[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[7,5,1,2,3,4,6,8]=>[7,6,3,4,5,2,1,8]=>[2,5,6,3,4,7,1,8]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>[5,4,3,6,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[2,4,5,3,6,1,7,8]
[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[2,4,5,3,6,1,7,8]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[5,3,4,6,2,1,7,8]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[5,3,4,6,2,1,7,8]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>[5,3,2,4,6,1,7,8]=>[6,4,3,2,5,1,7,8]=>[5,3,4,6,2,1,7,8]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[5,4,3,6,1,2,7,8]=>[6,5,3,4,2,1,7,8]=>[2,4,5,3,6,1,7,8]
[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[6,5,1,2,3,4,7,8]=>[6,5,3,4,2,1,7,8]=>[2,4,5,3,6,1,7,8]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[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]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[5,3,4,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[5,4,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[4,5,2,3,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[5,3,2,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[5,2,3,4,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,3,5,2,1,6,7,8]
[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,3,5,2,1,6,7,8]
[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[4,2,3,5,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,3,5,2,1,6,7,8]
[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,5,2,3,1,6,7,8]
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,5,2,3,1,6,7,8]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[5,4,3,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[5,3,4,1,2,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[5,4,2,1,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[5,4,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[4,5,1,2,3,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[5,3,2,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[5,2,3,1,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[5,3,1,2,4,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8]
[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[5,2,1,3,4,6,7,8]=>[5,3,2,4,1,6,7,8]=>[4,3,5,2,1,6,7,8]
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[5,1,2,3,4,6,7,8]=>[5,2,3,4,1,6,7,8]=>[4,5,2,3,1,6,7,8]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[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]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[4,2,3,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[3,4,2,1,5,6,7,8]
[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[3,4,2,1,5,6,7,8]
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[4,3,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[3,4,1,2,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[4,2,1,3,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[4,1,2,3,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[3,4,2,1,5,6,7,8]
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[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]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[3,1,2,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]
[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[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]
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
Demazure product with inverse
Description
This map sends a permutation $\pi$ to $\pi^{-1} \star \pi$ where $\star$ denotes the Demazure product on permutations.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
This map is a surjection onto the set of involutions, i.e., the set of permutations $\pi$ for which $\pi = \pi^{-1}$.
Map
Clarke-Steingrimsson-Zeng
Description
The Clarke-Steingrimsson-Zeng map sending descents to excedances.
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$ (des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi), $$
where
- $des$ is the number of descents, St000021The number of descents of a permutation.,
- $exc$ is the number of (strict) excedances, St000155The number of exceedances (also excedences) of a permutation.,
- $Dbot$ is the sum of the descent bottoms, St000154The sum of the descent bottoms of a permutation.,
- $Ebot$ is the sum of the excedance bottoms,
- $Ddif$ is the sum of the descent differences, St000030The sum of the descent differences of a permutations.,
- $Edif$ is the sum of the excedance differences (or depth), St000029The depth of a permutation.,
- $Res$ is the sum of the (right) embracing numbers,
- $Ine$ is the sum of the side numbers.
searching the database
Sorry, this map was not found in the database.