Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00069: Permutations —complement⟶ Permutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1]
[.,[.,.]]=>[2,1]=>[2,1]=>[1,2]
[[.,.],.]=>[1,2]=>[1,2]=>[2,1]
[.,[.,[.,.]]]=>[3,2,1]=>[3,2,1]=>[1,2,3]
[.,[[.,.],.]]=>[2,3,1]=>[2,3,1]=>[2,1,3]
[[.,.],[.,.]]=>[3,1,2]=>[3,1,2]=>[1,3,2]
[[.,[.,.]],.]=>[2,1,3]=>[2,1,3]=>[2,3,1]
[[[.,.],.],.]=>[1,2,3]=>[1,3,2]=>[3,1,2]
[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[3,4,2,1]=>[2,1,3,4]
[.,[[.,.],[.,.]]]=>[4,2,3,1]=>[4,2,3,1]=>[1,3,2,4]
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[3,2,4,1]=>[2,3,1,4]
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[2,4,3,1]=>[3,1,2,4]
[[.,.],[.,[.,.]]]=>[4,3,1,2]=>[4,3,1,2]=>[1,2,4,3]
[[.,.],[[.,.],.]]=>[3,4,1,2]=>[3,4,1,2]=>[2,1,4,3]
[[.,[.,.]],[.,.]]=>[4,2,1,3]=>[4,2,1,3]=>[1,3,4,2]
[[[.,.],.],[.,.]]=>[4,1,2,3]=>[4,1,3,2]=>[1,4,2,3]
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1,4]=>[2,3,4,1]
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[2,4,1,3]=>[3,1,4,2]
[[[.,.],[.,.]],.]=>[3,1,2,4]=>[3,1,4,2]=>[2,4,1,3]
[[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,1,4,3]=>[3,4,1,2]
[[[[.,.],.],.],.]=>[1,2,3,4]=>[1,4,3,2]=>[4,1,2,3]
[.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]
[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[4,5,3,2,1]=>[2,1,3,4,5]
[.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[5,3,4,2,1]=>[1,3,2,4,5]
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[4,3,5,2,1]=>[2,3,1,4,5]
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[3,1,2,4,5]
[.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[5,4,2,3,1]=>[1,2,4,3,5]
[.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[2,1,4,3,5]
[.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[1,3,4,2,5]
[.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[1,4,2,3,5]
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[4,3,2,5,1]=>[2,3,4,1,5]
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[3,1,4,2,5]
[.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[4,2,5,3,1]=>[2,4,1,3,5]
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[3,2,5,4,1]=>[3,4,1,2,5]
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[4,1,2,3,5]
[[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[5,4,3,1,2]=>[1,2,3,5,4]
[[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[2,1,3,5,4]
[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[5,3,4,1,2]=>[1,3,2,5,4]
[[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[4,3,5,1,2]=>[2,3,1,5,4]
[[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[3,1,2,5,4]
[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[5,4,2,1,3]=>[1,2,4,5,3]
[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[2,1,4,5,3]
[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[5,4,1,3,2]=>[1,2,5,3,4]
[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[2,1,5,3,4]
[[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[5,3,2,1,4]=>[1,3,4,5,2]
[[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[5,2,4,1,3]=>[1,4,2,5,3]
[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[5,3,1,4,2]=>[1,3,5,2,4]
[[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[5,2,1,4,3]=>[1,4,5,2,3]
[[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[1,5,2,3,4]
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[3,5,2,1,4]=>[3,1,4,5,2]
[[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[2,4,1,5,3]
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[3,2,5,1,4]=>[3,4,1,5,2]
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[4,1,2,5,3]
[[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[4,3,1,5,2]=>[2,3,5,1,4]
[[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[3,1,5,2,4]
[[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[4,2,1,5,3]=>[2,4,5,1,3]
[[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[2,5,1,3,4]
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,2,1,5,4]=>[3,4,5,1,2]
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[4,1,5,2,3]
[[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[3,5,1,2,4]
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[4,5,1,2,3]
[[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[5,1,2,3,4]
[.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]
[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[2,1,3,4,5,6]
[.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[1,3,2,4,5,6]
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[2,3,1,4,5,6]
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[3,1,2,4,5,6]
[.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]
[.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[2,1,4,3,5,6]
[.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[6,4,3,5,2,1]=>[1,3,4,2,5,6]
[.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[1,4,2,3,5,6]
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[2,3,4,1,5,6]
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[3,1,4,2,5,6]
[.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[2,4,1,3,5,6]
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[3,4,1,2,5,6]
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[4,1,2,3,5,6]
[.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[1,2,3,5,4,6]
[.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[2,1,3,5,4,6]
[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]
[.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[2,3,1,5,4,6]
[.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[3,1,2,5,4,6]
[.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[6,5,3,2,4,1]=>[1,2,4,5,3,6]
[.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[2,1,4,5,3,6]
[.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[6,5,2,4,3,1]=>[1,2,5,3,4,6]
[.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[2,1,5,3,4,6]
[.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]
[.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[6,3,5,2,4,1]=>[1,4,2,5,3,6]
[.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[6,4,2,5,3,1]=>[1,3,5,2,4,6]
[.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[6,3,2,5,4,1]=>[1,4,5,2,3,6]
[.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[6,2,5,4,3,1]=>[1,5,2,3,4,6]
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[2,3,4,5,1,6]
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[3,1,4,5,2,6]
[.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[2,4,1,5,3,6]
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[3,4,1,5,2,6]
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[4,1,2,5,3,6]
[.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[5,4,2,6,3,1]=>[2,3,5,1,4,6]
[.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[3,1,5,2,4,6]
[.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[5,3,2,6,4,1]=>[2,4,5,1,3,6]
[.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[2,5,1,3,4,6]
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[4,3,2,6,5,1]=>[3,4,5,1,2,6]
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[4,1,5,2,3,6]
[.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[3,5,1,2,4,6]
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[4,5,1,2,3,6]
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[5,1,2,3,4,6]
[[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[1,2,3,4,6,5]
[[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]
[[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[1,3,2,4,6,5]
[[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[2,3,1,4,6,5]
[[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[3,1,2,4,6,5]
[[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[1,2,4,3,6,5]
[[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]
[[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[6,4,3,5,1,2]=>[1,3,4,2,6,5]
[[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[1,4,2,3,6,5]
[[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[5,4,3,6,1,2]=>[2,3,4,1,6,5]
[[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[3,1,4,2,6,5]
[[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[2,4,1,3,6,5]
[[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[3,4,1,2,6,5]
[[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[4,1,2,3,6,5]
[[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[1,2,3,5,6,4]
[[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[2,1,3,5,6,4]
[[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[1,3,2,5,6,4]
[[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]
[[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[4,6,5,2,1,3]=>[3,1,2,5,6,4]
[[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[6,5,4,1,3,2]=>[1,2,3,6,4,5]
[[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[2,1,3,6,4,5]
[[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[1,3,2,6,4,5]
[[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[5,4,6,1,3,2]=>[2,3,1,6,4,5]
[[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[4,6,5,1,3,2]=>[3,1,2,6,4,5]
[[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[1,2,4,5,6,3]
[[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[2,1,4,5,6,3]
[[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[6,5,2,4,1,3]=>[1,2,5,3,6,4]
[[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[2,1,5,3,6,4]
[[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[6,5,3,1,4,2]=>[1,2,4,6,3,5]
[[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[2,1,4,6,3,5]
[[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[6,5,2,1,4,3]=>[1,2,5,6,3,4]
[[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[2,1,5,6,3,4]
[[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[6,5,1,4,3,2]=>[1,2,6,3,4,5]
[[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[2,1,6,3,4,5]
[[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[1,3,4,5,6,2]
[[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[1,4,2,5,6,3]
[[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[6,4,2,5,1,3]=>[1,3,5,2,6,4]
[[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[6,3,2,5,1,4]=>[1,4,5,2,6,3]
[[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[1,5,2,3,6,4]
[[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[6,4,3,1,5,2]=>[1,3,4,6,2,5]
[[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[1,4,2,6,3,5]
[[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[6,4,2,1,5,3]=>[1,3,5,6,2,4]
[[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[6,4,1,5,3,2]=>[1,3,6,2,4,5]
[[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[6,3,2,1,5,4]=>[1,4,5,6,2,3]
[[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[1,5,2,6,3,4]
[[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[6,3,1,5,4,2]=>[1,4,6,2,3,5]
[[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[6,2,1,5,4,3]=>[1,5,6,2,3,4]
[[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[3,1,4,5,6,2]
[[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[2,4,1,5,6,3]
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[3,4,1,5,6,2]
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[3,6,5,2,1,4]=>[4,1,2,5,6,3]
[[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[5,4,2,6,1,3]=>[2,3,5,1,6,4]
[[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[4,6,2,5,1,3]=>[3,1,5,2,6,4]
[[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[5,3,2,6,1,4]=>[2,4,5,1,6,3]
[[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[2,5,1,3,6,4]
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[4,3,2,6,1,5]=>[3,4,5,1,6,2]
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]
[[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[4,2,6,5,1,3]=>[3,5,1,2,6,4]
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[4,5,1,2,6,3]
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[5,1,2,3,6,4]
[[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[5,4,3,1,6,2]=>[2,3,4,6,1,5]
[[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[3,1,4,6,2,5]
[[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[5,3,6,1,4,2]=>[2,4,1,6,3,5]
[[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[4,3,6,1,5,2]=>[3,4,1,6,2,5]
[[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[4,1,2,6,3,5]
[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[5,4,2,1,6,3]=>[2,3,5,6,1,4]
[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[3,1,5,6,2,4]
[[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]
[[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[4,6,1,5,3,2]=>[3,1,6,2,4,5]
[[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[5,3,2,1,6,4]=>[2,4,5,6,1,3]
[[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[2,5,1,6,3,4]
[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[5,3,1,6,4,2]=>[2,4,6,1,3,5]
[[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[5,2,1,6,4,3]=>[2,5,6,1,3,4]
[[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,3,2,1,6,5]=>[3,4,5,6,1,2]
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[4,1,5,6,2,3]
[[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[4,2,6,1,5,3]=>[3,5,1,6,2,4]
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[3,2,6,1,5,4]=>[4,5,1,6,2,3]
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[2,6,5,1,4,3]=>[5,1,2,6,3,4]
[[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[4,3,1,6,5,2]=>[3,4,6,1,2,5]
[[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[4,1,6,2,3,5]
[[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[4,2,1,6,5,3]=>[3,5,6,1,2,4]
[[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[4,1,6,5,3,2]=>[3,6,1,2,4,5]
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[2,6,1,5,4,3]=>[5,1,6,2,3,4]
[[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[4,6,1,2,3,5]
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[5,6,1,2,3,4]
[[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[2,1,3,4,5,6,7]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[2,3,1,4,5,6,7]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[5,7,6,4,3,2,1]=>[3,1,2,4,5,6,7]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[6,7,4,5,3,2,1]=>[2,1,4,3,5,6,7]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[7,4,6,5,3,2,1]=>[1,4,2,3,5,6,7]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]=>[2,3,4,1,5,6,7]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[5,7,4,6,3,2,1]=>[3,1,4,2,5,6,7]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[6,4,7,5,3,2,1]=>[2,4,1,3,5,6,7]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[5,4,7,6,3,2,1]=>[3,4,1,2,5,6,7]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[4,7,6,5,3,2,1]=>[4,1,2,3,5,6,7]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[6,7,5,3,4,2,1]=>[2,1,3,5,4,6,7]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[1,3,2,5,4,6,7]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[6,5,7,3,4,2,1]=>[2,3,1,5,4,6,7]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[5,7,6,3,4,2,1]=>[3,1,2,5,4,6,7]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[6,7,4,3,5,2,1]=>[2,1,4,5,3,6,7]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[1,2,5,3,4,6,7]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[6,7,3,5,4,2,1]=>[2,1,5,3,4,6,7]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[7,4,6,3,5,2,1]=>[1,4,2,5,3,6,7]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[7,5,3,6,4,2,1]=>[1,3,5,2,4,6,7]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[7,4,3,6,5,2,1]=>[1,4,5,2,3,6,7]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[7,3,6,5,4,2,1]=>[1,5,2,3,4,6,7]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[2,3,4,5,1,6,7]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[5,7,4,3,6,2,1]=>[3,1,4,5,2,6,7]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[6,4,7,3,5,2,1]=>[2,4,1,5,3,6,7]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[5,4,7,3,6,2,1]=>[3,4,1,5,2,6,7]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[4,7,6,3,5,2,1]=>[4,1,2,5,3,6,7]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[6,5,3,7,4,2,1]=>[2,3,5,1,4,6,7]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[5,7,3,6,4,2,1]=>[3,1,5,2,4,6,7]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[6,4,3,7,5,2,1]=>[2,4,5,1,3,6,7]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[6,3,7,5,4,2,1]=>[2,5,1,3,4,6,7]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[5,4,3,7,6,2,1]=>[3,4,5,1,2,6,7]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[4,7,3,6,5,2,1]=>[4,1,5,2,3,6,7]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[5,3,7,6,4,2,1]=>[3,5,1,2,4,6,7]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[4,3,7,6,5,2,1]=>[4,5,1,2,3,6,7]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[3,7,6,5,4,2,1]=>[5,1,2,3,4,6,7]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>[2,1,3,4,6,5,7]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[6,5,7,4,2,3,1]=>[2,3,1,4,6,5,7]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[5,7,6,4,2,3,1]=>[3,1,2,4,6,5,7]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1]=>[2,1,4,3,6,5,7]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[7,5,4,6,2,3,1]=>[1,3,4,2,6,5,7]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[7,4,6,5,2,3,1]=>[1,4,2,3,6,5,7]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[6,5,4,7,2,3,1]=>[2,3,4,1,6,5,7]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[5,7,4,6,2,3,1]=>[3,1,4,2,6,5,7]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[6,4,7,5,2,3,1]=>[2,4,1,3,6,5,7]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[5,4,7,6,2,3,1]=>[3,4,1,2,6,5,7]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[4,7,6,5,2,3,1]=>[4,1,2,3,6,5,7]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[6,7,5,3,2,4,1]=>[2,1,3,5,6,4,7]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[7,5,6,3,2,4,1]=>[1,3,2,5,6,4,7]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>[2,3,1,5,6,4,7]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[5,7,6,3,2,4,1]=>[3,1,2,5,6,4,7]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[6,7,5,2,4,3,1]=>[2,1,3,6,4,5,7]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[7,5,6,2,4,3,1]=>[1,3,2,6,4,5,7]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[6,5,7,2,4,3,1]=>[2,3,1,6,4,5,7]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[5,7,6,2,4,3,1]=>[3,1,2,6,4,5,7]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[6,7,4,3,2,5,1]=>[2,1,4,5,6,3,7]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[7,6,3,5,2,4,1]=>[1,2,5,3,6,4,7]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[6,7,3,5,2,4,1]=>[2,1,5,3,6,4,7]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[7,6,4,2,5,3,1]=>[1,2,4,6,3,5,7]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[6,7,4,2,5,3,1]=>[2,1,4,6,3,5,7]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[7,6,3,2,5,4,1]=>[1,2,5,6,3,4,7]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[6,7,3,2,5,4,1]=>[2,1,5,6,3,4,7]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[7,6,2,5,4,3,1]=>[1,2,6,3,4,5,7]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[6,7,2,5,4,3,1]=>[2,1,6,3,4,5,7]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[7,4,6,3,2,5,1]=>[1,4,2,5,6,3,7]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[1,3,5,2,6,4,7]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[7,4,3,6,2,5,1]=>[1,4,5,2,6,3,7]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[7,3,6,5,2,4,1]=>[1,5,2,3,6,4,7]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[7,5,4,2,6,3,1]=>[1,3,4,6,2,5,7]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[1,4,2,6,3,5,7]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[7,5,3,2,6,4,1]=>[1,3,5,6,2,4,7]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[7,5,2,6,4,3,1]=>[1,3,6,2,4,5,7]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[1,4,5,6,2,3,7]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[7,3,6,2,5,4,1]=>[1,5,2,6,3,4,7]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[7,4,2,6,5,3,1]=>[1,4,6,2,3,5,7]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[1,5,6,2,3,4,7]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[1,6,2,3,4,5,7]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[5,7,4,3,2,6,1]=>[3,1,4,5,6,2,7]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[6,4,7,3,2,5,1]=>[2,4,1,5,6,3,7]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[5,4,7,3,2,6,1]=>[3,4,1,5,6,2,7]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[4,7,6,3,2,5,1]=>[4,1,2,5,6,3,7]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[6,5,3,7,2,4,1]=>[2,3,5,1,6,4,7]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[5,7,3,6,2,4,1]=>[3,1,5,2,6,4,7]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[6,4,3,7,2,5,1]=>[2,4,5,1,6,3,7]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[6,3,7,5,2,4,1]=>[2,5,1,3,6,4,7]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[5,4,3,7,2,6,1]=>[3,4,5,1,6,2,7]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[4,7,3,6,2,5,1]=>[4,1,5,2,6,3,7]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[5,3,7,6,2,4,1]=>[3,5,1,2,6,4,7]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[4,3,7,6,2,5,1]=>[4,5,1,2,6,3,7]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[3,7,6,5,2,4,1]=>[5,1,2,3,6,4,7]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[6,5,4,2,7,3,1]=>[2,3,4,6,1,5,7]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[5,7,4,2,6,3,1]=>[3,1,4,6,2,5,7]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[6,4,7,2,5,3,1]=>[2,4,1,6,3,5,7]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[5,4,7,2,6,3,1]=>[3,4,1,6,2,5,7]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[4,7,6,2,5,3,1]=>[4,1,2,6,3,5,7]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[6,5,3,2,7,4,1]=>[2,3,5,6,1,4,7]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[5,7,3,2,6,4,1]=>[3,1,5,6,2,4,7]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[6,5,2,7,4,3,1]=>[2,3,6,1,4,5,7]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[5,7,2,6,4,3,1]=>[3,1,6,2,4,5,7]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[6,4,3,2,7,5,1]=>[2,4,5,6,1,3,7]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[6,3,7,2,5,4,1]=>[2,5,1,6,3,4,7]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[6,4,2,7,5,3,1]=>[2,4,6,1,3,5,7]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[6,3,2,7,5,4,1]=>[2,5,6,1,3,4,7]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[6,2,7,5,4,3,1]=>[2,6,1,3,4,5,7]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[5,4,3,2,7,6,1]=>[3,4,5,6,1,2,7]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[4,7,3,2,6,5,1]=>[4,1,5,6,2,3,7]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[5,3,7,2,6,4,1]=>[3,5,1,6,2,4,7]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[4,3,7,2,6,5,1]=>[4,5,1,6,2,3,7]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[3,7,6,2,5,4,1]=>[5,1,2,6,3,4,7]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[5,4,2,7,6,3,1]=>[3,4,6,1,2,5,7]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[4,7,2,6,5,3,1]=>[4,1,6,2,3,5,7]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[5,3,2,7,6,4,1]=>[3,5,6,1,2,4,7]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[5,2,7,6,4,3,1]=>[3,6,1,2,4,5,7]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[4,3,2,7,6,5,1]=>[4,5,6,1,2,3,7]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[3,7,2,6,5,4,1]=>[5,1,6,2,3,4,7]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[4,2,7,6,5,3,1]=>[4,6,1,2,3,5,7]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[3,2,7,6,5,4,1]=>[5,6,1,2,3,4,7]
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[6,1,2,3,4,5,7]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[7,5,6,4,3,1,2]=>[1,3,2,4,5,7,6]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[6,5,7,4,3,1,2]=>[2,3,1,4,5,7,6]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[5,7,6,4,3,1,2]=>[3,1,2,4,5,7,6]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[6,7,4,5,3,1,2]=>[2,1,4,3,5,7,6]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[7,5,4,6,3,1,2]=>[1,3,4,2,5,7,6]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[7,4,6,5,3,1,2]=>[1,4,2,3,5,7,6]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[6,5,4,7,3,1,2]=>[2,3,4,1,5,7,6]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[5,7,4,6,3,1,2]=>[3,1,4,2,5,7,6]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[6,4,7,5,3,1,2]=>[2,4,1,3,5,7,6]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[5,4,7,6,3,1,2]=>[3,4,1,2,5,7,6]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[4,7,6,5,3,1,2]=>[4,1,2,3,5,7,6]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[6,7,5,3,4,1,2]=>[2,1,3,5,4,7,6]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[2,3,1,5,4,7,6]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[5,7,6,3,4,1,2]=>[3,1,2,5,4,7,6]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[7,6,3,5,4,1,2]=>[1,2,5,3,4,7,6]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[2,1,5,3,4,7,6]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[7,4,6,3,5,1,2]=>[1,4,2,5,3,7,6]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[7,5,3,6,4,1,2]=>[1,3,5,2,4,7,6]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[7,4,3,6,5,1,2]=>[1,4,5,2,3,7,6]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[7,3,6,5,4,1,2]=>[1,5,2,3,4,7,6]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[6,5,4,3,7,1,2]=>[2,3,4,5,1,7,6]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[5,7,4,3,6,1,2]=>[3,1,4,5,2,7,6]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[6,4,7,3,5,1,2]=>[2,4,1,5,3,7,6]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[5,4,7,3,6,1,2]=>[3,4,1,5,2,7,6]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[4,7,6,3,5,1,2]=>[4,1,2,5,3,7,6]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[6,5,3,7,4,1,2]=>[2,3,5,1,4,7,6]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[5,7,3,6,4,1,2]=>[3,1,5,2,4,7,6]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[6,4,3,7,5,1,2]=>[2,4,5,1,3,7,6]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[6,3,7,5,4,1,2]=>[2,5,1,3,4,7,6]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[5,4,3,7,6,1,2]=>[3,4,5,1,2,7,6]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[4,7,3,6,5,1,2]=>[4,1,5,2,3,7,6]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[5,3,7,6,4,1,2]=>[3,5,1,2,4,7,6]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[4,3,7,6,5,1,2]=>[4,5,1,2,3,7,6]
[[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[3,7,6,5,4,1,2]=>[5,1,2,3,4,7,6]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[6,7,5,4,2,1,3]=>[2,1,3,4,6,7,5]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[7,5,6,4,2,1,3]=>[1,3,2,4,6,7,5]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[5,7,6,4,2,1,3]=>[3,1,2,4,6,7,5]
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[6,7,4,5,2,1,3]=>[2,1,4,3,6,7,5]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[7,5,4,6,2,1,3]=>[1,3,4,2,6,7,5]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[7,4,6,5,2,1,3]=>[1,4,2,3,6,7,5]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[6,5,4,7,2,1,3]=>[2,3,4,1,6,7,5]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[5,7,4,6,2,1,3]=>[3,1,4,2,6,7,5]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[6,4,7,5,2,1,3]=>[2,4,1,3,6,7,5]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[5,4,7,6,2,1,3]=>[3,4,1,2,6,7,5]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[4,7,6,5,2,1,3]=>[4,1,2,3,6,7,5]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[6,7,5,4,1,3,2]=>[2,1,3,4,7,5,6]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[7,5,6,4,1,3,2]=>[1,3,2,4,7,5,6]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[6,5,7,4,1,3,2]=>[2,3,1,4,7,5,6]
[[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[5,7,6,4,1,3,2]=>[3,1,2,4,7,5,6]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[7,6,4,5,1,3,2]=>[1,2,4,3,7,5,6]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[6,7,4,5,1,3,2]=>[2,1,4,3,7,5,6]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[7,5,4,6,1,3,2]=>[1,3,4,2,7,5,6]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[7,4,6,5,1,3,2]=>[1,4,2,3,7,5,6]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[6,5,4,7,1,3,2]=>[2,3,4,1,7,5,6]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[5,7,4,6,1,3,2]=>[3,1,4,2,7,5,6]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[6,4,7,5,1,3,2]=>[2,4,1,3,7,5,6]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[5,4,7,6,1,3,2]=>[3,4,1,2,7,5,6]
[[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[4,7,6,5,1,3,2]=>[4,1,2,3,7,5,6]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[6,7,5,3,2,1,4]=>[2,1,3,5,6,7,4]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[7,5,6,3,2,1,4]=>[1,3,2,5,6,7,4]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[6,5,7,3,2,1,4]=>[2,3,1,5,6,7,4]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[5,7,6,3,2,1,4]=>[3,1,2,5,6,7,4]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[6,7,5,2,4,1,3]=>[2,1,3,6,4,7,5]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[7,5,6,2,4,1,3]=>[1,3,2,6,4,7,5]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[6,5,7,2,4,1,3]=>[2,3,1,6,4,7,5]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[5,7,6,2,4,1,3]=>[3,1,2,6,4,7,5]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[6,7,5,3,1,4,2]=>[2,1,3,5,7,4,6]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[7,5,6,3,1,4,2]=>[1,3,2,5,7,4,6]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[6,5,7,3,1,4,2]=>[2,3,1,5,7,4,6]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[5,7,6,3,1,4,2]=>[3,1,2,5,7,4,6]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[7,6,5,2,1,4,3]=>[1,2,3,6,7,4,5]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[6,7,5,2,1,4,3]=>[2,1,3,6,7,4,5]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[7,5,6,2,1,4,3]=>[1,3,2,6,7,4,5]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[6,5,7,2,1,4,3]=>[2,3,1,6,7,4,5]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[5,7,6,2,1,4,3]=>[3,1,2,6,7,4,5]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[6,7,5,1,4,3,2]=>[2,1,3,7,4,5,6]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[7,5,6,1,4,3,2]=>[1,3,2,7,4,5,6]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[6,5,7,1,4,3,2]=>[2,3,1,7,4,5,6]
[[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[5,7,6,1,4,3,2]=>[3,1,2,7,4,5,6]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>[2,1,4,5,6,7,3]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[7,6,3,5,2,1,4]=>[1,2,5,3,6,7,4]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[6,7,3,5,2,1,4]=>[2,1,5,3,6,7,4]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[7,6,4,2,5,1,3]=>[1,2,4,6,3,7,5]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[6,7,4,2,5,1,3]=>[2,1,4,6,3,7,5]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[7,6,3,2,5,1,4]=>[1,2,5,6,3,7,4]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[6,7,3,2,5,1,4]=>[2,1,5,6,3,7,4]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[7,6,2,5,4,1,3]=>[1,2,6,3,4,7,5]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[6,7,2,5,4,1,3]=>[2,1,6,3,4,7,5]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[6,7,4,3,1,5,2]=>[2,1,4,5,7,3,6]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[7,6,3,5,1,4,2]=>[1,2,5,3,7,4,6]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[6,7,3,5,1,4,2]=>[2,1,5,3,7,4,6]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[7,6,4,2,1,5,3]=>[1,2,4,6,7,3,5]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[6,7,4,2,1,5,3]=>[2,1,4,6,7,3,5]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[6,7,4,1,5,3,2]=>[2,1,4,7,3,5,6]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[7,6,3,2,1,5,4]=>[1,2,5,6,7,3,4]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[6,7,3,2,1,5,4]=>[2,1,5,6,7,3,4]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[7,6,2,5,1,4,3]=>[1,2,6,3,7,4,5]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[6,7,2,5,1,4,3]=>[2,1,6,3,7,4,5]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[7,6,3,1,5,4,2]=>[1,2,5,7,3,4,6]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[6,7,3,1,5,4,2]=>[2,1,5,7,3,4,6]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[7,6,2,1,5,4,3]=>[1,2,6,7,3,4,5]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[6,7,2,1,5,4,3]=>[2,1,6,7,3,4,5]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]
[[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[6,7,1,5,4,3,2]=>[2,1,7,3,4,5,6]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[7,4,6,3,2,1,5]=>[1,4,2,5,6,7,3]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[7,5,3,6,2,1,4]=>[1,3,5,2,6,7,4]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[7,4,3,6,2,1,5]=>[1,4,5,2,6,7,3]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[7,3,6,5,2,1,4]=>[1,5,2,3,6,7,4]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[7,5,4,2,6,1,3]=>[1,3,4,6,2,7,5]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[7,4,6,2,5,1,3]=>[1,4,2,6,3,7,5]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[7,5,3,2,6,1,4]=>[1,3,5,6,2,7,4]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[7,5,2,6,4,1,3]=>[1,3,6,2,4,7,5]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[7,4,3,2,6,1,5]=>[1,4,5,6,2,7,3]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[7,4,2,6,5,1,3]=>[1,4,6,2,3,7,5]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[7,3,2,6,5,1,4]=>[1,5,6,2,3,7,4]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[7,2,6,5,4,1,3]=>[1,6,2,3,4,7,5]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[7,4,6,3,1,5,2]=>[1,4,2,5,7,3,6]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[7,5,3,6,1,4,2]=>[1,3,5,2,7,4,6]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[7,4,3,6,1,5,2]=>[1,4,5,2,7,3,6]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[7,3,6,5,1,4,2]=>[1,5,2,3,7,4,6]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[7,5,4,2,1,6,3]=>[1,3,4,6,7,2,5]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[7,4,6,2,1,5,3]=>[1,4,2,6,7,3,5]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[7,4,6,1,5,3,2]=>[1,4,2,7,3,5,6]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[7,5,3,2,1,6,4]=>[1,3,5,6,7,2,4]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[7,5,2,6,1,4,3]=>[1,3,6,2,7,4,5]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[7,5,3,1,6,4,2]=>[1,3,5,7,2,4,6]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[7,5,2,1,6,4,3]=>[1,3,6,7,2,4,5]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[7,4,3,2,1,6,5]=>[1,4,5,6,7,2,3]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[7,3,6,2,1,5,4]=>[1,5,2,6,7,3,4]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[7,4,2,6,1,5,3]=>[1,4,6,2,7,3,5]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[7,3,2,6,1,5,4]=>[1,5,6,2,7,3,4]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[7,2,6,5,1,4,3]=>[1,6,2,3,7,4,5]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[7,4,3,1,6,5,2]=>[1,4,5,7,2,3,6]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[7,3,6,1,5,4,2]=>[1,5,2,7,3,4,6]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[7,4,2,1,6,5,3]=>[1,4,6,7,2,3,5]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[7,4,1,6,5,3,2]=>[1,4,7,2,3,5,6]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[7,3,2,1,6,5,4]=>[1,5,6,7,2,3,4]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[7,2,6,1,5,4,3]=>[1,6,2,7,3,4,5]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[7,3,1,6,5,4,2]=>[1,5,7,2,3,4,6]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[7,2,1,6,5,4,3]=>[1,6,7,2,3,4,5]
[[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[5,7,4,3,2,1,6]=>[3,1,4,5,6,7,2]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[6,4,7,3,2,1,5]=>[2,4,1,5,6,7,3]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[5,4,7,3,2,1,6]=>[3,4,1,5,6,7,2]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[4,7,6,3,2,1,5]=>[4,1,2,5,6,7,3]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[2,3,5,1,6,7,4]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[5,7,3,6,2,1,4]=>[3,1,5,2,6,7,4]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[6,4,3,7,2,1,5]=>[2,4,5,1,6,7,3]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[6,3,7,5,2,1,4]=>[2,5,1,3,6,7,4]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[5,4,3,7,2,1,6]=>[3,4,5,1,6,7,2]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[4,7,3,6,2,1,5]=>[4,1,5,2,6,7,3]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[5,3,7,6,2,1,4]=>[3,5,1,2,6,7,4]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[4,3,7,6,2,1,5]=>[4,5,1,2,6,7,3]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[3,7,6,5,2,1,4]=>[5,1,2,3,6,7,4]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[6,5,4,2,7,1,3]=>[2,3,4,6,1,7,5]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[5,7,4,2,6,1,3]=>[3,1,4,6,2,7,5]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[2,4,1,6,3,7,5]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[5,4,7,2,6,1,3]=>[3,4,1,6,2,7,5]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[4,7,6,2,5,1,3]=>[4,1,2,6,3,7,5]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[6,5,3,2,7,1,4]=>[2,3,5,6,1,7,4]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[5,7,3,2,6,1,4]=>[3,1,5,6,2,7,4]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[6,5,2,7,4,1,3]=>[2,3,6,1,4,7,5]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[5,7,2,6,4,1,3]=>[3,1,6,2,4,7,5]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[2,4,5,6,1,7,3]
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[6,3,7,2,5,1,4]=>[2,5,1,6,3,7,4]
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[6,4,2,7,5,1,3]=>[2,4,6,1,3,7,5]
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[2,5,6,1,3,7,4]
[[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[2,6,1,3,4,7,5]
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[5,4,3,2,7,1,6]=>[3,4,5,6,1,7,2]
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[4,7,3,2,6,1,5]=>[4,1,5,6,2,7,3]
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[5,3,7,2,6,1,4]=>[3,5,1,6,2,7,4]
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[4,3,7,2,6,1,5]=>[4,5,1,6,2,7,3]
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[3,7,6,2,5,1,4]=>[5,1,2,6,3,7,4]
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[5,4,2,7,6,1,3]=>[3,4,6,1,2,7,5]
[[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[4,7,2,6,5,1,3]=>[4,1,6,2,3,7,5]
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[5,3,2,7,6,1,4]=>[3,5,6,1,2,7,4]
[[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[5,2,7,6,4,1,3]=>[3,6,1,2,4,7,5]
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[4,3,2,7,6,1,5]=>[4,5,6,1,2,7,3]
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[3,7,2,6,5,1,4]=>[5,1,6,2,3,7,4]
[[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[4,2,7,6,5,1,3]=>[4,6,1,2,3,7,5]
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[3,2,7,6,5,1,4]=>[5,6,1,2,3,7,4]
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[6,1,2,3,4,7,5]
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[6,5,4,3,1,7,2]=>[2,3,4,5,7,1,6]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[3,1,4,5,7,2,6]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[6,4,7,3,1,5,2]=>[2,4,1,5,7,3,6]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[5,4,7,3,1,6,2]=>[3,4,1,5,7,2,6]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[4,7,6,3,1,5,2]=>[4,1,2,5,7,3,6]
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[6,5,3,7,1,4,2]=>[2,3,5,1,7,4,6]
[[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[3,1,5,2,7,4,6]
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[6,4,3,7,1,5,2]=>[2,4,5,1,7,3,6]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[6,3,7,5,1,4,2]=>[2,5,1,3,7,4,6]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[5,4,3,7,1,6,2]=>[3,4,5,1,7,2,6]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[4,7,3,6,1,5,2]=>[4,1,5,2,7,3,6]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[5,3,7,6,1,4,2]=>[3,5,1,2,7,4,6]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[4,3,7,6,1,5,2]=>[4,5,1,2,7,3,6]
[[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[3,7,6,5,1,4,2]=>[5,1,2,3,7,4,6]
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[6,5,4,2,1,7,3]=>[2,3,4,6,7,1,5]
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[5,7,4,2,1,6,3]=>[3,1,4,6,7,2,5]
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[6,4,7,2,1,5,3]=>[2,4,1,6,7,3,5]
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>[3,4,1,6,7,2,5]
[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[4,7,6,2,1,5,3]=>[4,1,2,6,7,3,5]
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[6,5,4,1,7,3,2]=>[2,3,4,7,1,5,6]
[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[5,7,4,1,6,3,2]=>[3,1,4,7,2,5,6]
[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[6,4,7,1,5,3,2]=>[2,4,1,7,3,5,6]
[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[5,4,7,1,6,3,2]=>[3,4,1,7,2,5,6]
[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[4,7,6,1,5,3,2]=>[4,1,2,7,3,5,6]
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[6,5,3,2,1,7,4]=>[2,3,5,6,7,1,4]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[5,7,3,2,1,6,4]=>[3,1,5,6,7,2,4]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[6,5,2,7,1,4,3]=>[2,3,6,1,7,4,5]
[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[5,7,2,6,1,4,3]=>[3,1,6,2,7,4,5]
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[6,5,3,1,7,4,2]=>[2,3,5,7,1,4,6]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[5,7,3,1,6,4,2]=>[3,1,5,7,2,4,6]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[6,5,2,1,7,4,3]=>[2,3,6,7,1,4,5]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[5,7,2,1,6,4,3]=>[3,1,6,7,2,4,5]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[6,5,1,7,4,3,2]=>[2,3,7,1,4,5,6]
[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[5,7,1,6,4,3,2]=>[3,1,7,2,4,5,6]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[6,4,3,2,1,7,5]=>[2,4,5,6,7,1,3]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[6,3,7,2,1,5,4]=>[2,5,1,6,7,3,4]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[6,4,2,7,1,5,3]=>[2,4,6,1,7,3,5]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[6,3,2,7,1,5,4]=>[2,5,6,1,7,3,4]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[6,2,7,5,1,4,3]=>[2,6,1,3,7,4,5]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[6,4,3,1,7,5,2]=>[2,4,5,7,1,3,6]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[6,3,7,1,5,4,2]=>[2,5,1,7,3,4,6]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[6,4,2,1,7,5,3]=>[2,4,6,7,1,3,5]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[6,4,1,7,5,3,2]=>[2,4,7,1,3,5,6]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[6,3,2,1,7,5,4]=>[2,5,6,7,1,3,4]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[6,2,7,1,5,4,3]=>[2,6,1,7,3,4,5]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[6,3,1,7,5,4,2]=>[2,5,7,1,3,4,6]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[6,2,1,7,5,4,3]=>[2,6,7,1,3,4,5]
[[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[6,1,7,5,4,3,2]=>[2,7,1,3,4,5,6]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[3,4,5,6,7,1,2]
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[4,7,3,2,1,6,5]=>[4,1,5,6,7,2,3]
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[5,3,7,2,1,6,4]=>[3,5,1,6,7,2,4]
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[4,3,7,2,1,6,5]=>[4,5,1,6,7,2,3]
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[3,7,6,2,1,5,4]=>[5,1,2,6,7,3,4]
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[5,4,2,7,1,6,3]=>[3,4,6,1,7,2,5]
[[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[4,7,2,6,1,5,3]=>[4,1,6,2,7,3,5]
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[3,5,6,1,7,2,4]
[[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>[3,6,1,2,7,4,5]
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[4,3,2,7,1,6,5]=>[4,5,6,1,7,2,3]
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[3,7,2,6,1,5,4]=>[5,1,6,2,7,3,4]
[[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[4,2,7,6,1,5,3]=>[4,6,1,2,7,3,5]
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[3,2,7,6,1,5,4]=>[5,6,1,2,7,3,4]
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[6,1,2,3,7,4,5]
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[5,4,3,1,7,6,2]=>[3,4,5,7,1,2,6]
[[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[4,7,3,1,6,5,2]=>[4,1,5,7,2,3,6]
[[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[5,3,7,1,6,4,2]=>[3,5,1,7,2,4,6]
[[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[4,3,7,1,6,5,2]=>[4,5,1,7,2,3,6]
[[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[3,7,6,1,5,4,2]=>[5,1,2,7,3,4,6]
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[5,4,2,1,7,6,3]=>[3,4,6,7,1,2,5]
[[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[4,7,2,1,6,5,3]=>[4,1,6,7,2,3,5]
[[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[5,4,1,7,6,3,2]=>[3,4,7,1,2,5,6]
[[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[4,7,1,6,5,3,2]=>[4,1,7,2,3,5,6]
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[5,3,2,1,7,6,4]=>[3,5,6,7,1,2,4]
[[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[5,2,7,1,6,4,3]=>[3,6,1,7,2,4,5]
[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[5,3,1,7,6,4,2]=>[3,5,7,1,2,4,6]
[[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[5,2,1,7,6,4,3]=>[3,6,7,1,2,4,5]
[[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[5,1,7,6,4,3,2]=>[3,7,1,2,4,5,6]
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,3,2,1,7,6,5]=>[4,5,6,7,1,2,3]
[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[3,7,2,1,6,5,4]=>[5,1,6,7,2,3,4]
[[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[4,2,7,1,6,5,3]=>[4,6,1,7,2,3,5]
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[3,2,7,1,6,5,4]=>[5,6,1,7,2,3,4]
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>[6,1,2,7,3,4,5]
[[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[4,3,1,7,6,5,2]=>[4,5,7,1,2,3,6]
[[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[3,7,1,6,5,4,2]=>[5,1,7,2,3,4,6]
[[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[4,2,1,7,6,5,3]=>[4,6,7,1,2,3,5]
[[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[4,1,7,6,5,3,2]=>[4,7,1,2,3,5,6]
[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,2,1,7,6,5,4]=>[5,6,7,1,2,3,4]
[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[2,7,1,6,5,4,3]=>[6,1,7,2,3,4,5]
[[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[3,1,7,6,5,4,2]=>[5,7,1,2,3,4,6]
[[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,1,7,6,5,4,3]=>[6,7,1,2,3,4,5]
[[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1]=>[2,1,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[8,6,7,5,4,3,2,1]=>[8,6,7,5,4,3,2,1]=>[1,3,2,4,5,6,7,8]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[7,6,8,5,4,3,2,1]=>[2,3,1,4,5,6,7,8]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[6,8,7,5,4,3,2,1]=>[3,1,2,4,5,6,7,8]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[8,7,5,6,4,3,2,1]=>[8,7,5,6,4,3,2,1]=>[1,2,4,3,5,6,7,8]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[7,8,5,6,4,3,2,1]=>[7,8,5,6,4,3,2,1]=>[2,1,4,3,5,6,7,8]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[8,6,5,7,4,3,2,1]=>[8,6,5,7,4,3,2,1]=>[1,3,4,2,5,6,7,8]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[8,5,6,7,4,3,2,1]=>[8,5,7,6,4,3,2,1]=>[1,4,2,3,5,6,7,8]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[7,6,5,8,4,3,2,1]=>[2,3,4,1,5,6,7,8]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[6,8,5,7,4,3,2,1]=>[3,1,4,2,5,6,7,8]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[7,5,6,8,4,3,2,1]=>[7,5,8,6,4,3,2,1]=>[2,4,1,3,5,6,7,8]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[6,5,8,7,4,3,2,1]=>[3,4,1,2,5,6,7,8]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[5,8,7,6,4,3,2,1]=>[4,1,2,3,5,6,7,8]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[8,7,6,4,5,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[8,6,7,4,5,3,2,1]=>[8,6,7,4,5,3,2,1]=>[1,3,2,5,4,6,7,8]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[7,6,8,4,5,3,2,1]=>[7,6,8,4,5,3,2,1]=>[2,3,1,5,4,6,7,8]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[8,7,5,4,6,3,2,1]=>[8,7,5,4,6,3,2,1]=>[1,2,4,5,3,6,7,8]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[8,6,5,4,7,3,2,1]=>[8,6,5,4,7,3,2,1]=>[1,3,4,5,2,6,7,8]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[8,5,6,4,7,3,2,1]=>[8,5,7,4,6,3,2,1]=>[1,4,2,5,3,6,7,8]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[8,6,4,5,7,3,2,1]=>[8,6,4,7,5,3,2,1]=>[1,3,5,2,4,6,7,8]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[7,6,5,4,8,3,2,1]=>[2,3,4,5,1,6,7,8]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[6,8,5,4,7,3,2,1]=>[3,1,4,5,2,6,7,8]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[7,5,6,4,8,3,2,1]=>[7,5,8,4,6,3,2,1]=>[2,4,1,5,3,6,7,8]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[6,5,8,4,7,3,2,1]=>[3,4,1,5,2,6,7,8]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[5,8,7,4,6,3,2,1]=>[4,1,2,5,3,6,7,8]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[7,6,4,5,8,3,2,1]=>[7,6,4,8,5,3,2,1]=>[2,3,5,1,4,6,7,8]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[6,7,4,5,8,3,2,1]=>[6,8,4,7,5,3,2,1]=>[3,1,5,2,4,6,7,8]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[7,5,4,6,8,3,2,1]=>[7,5,4,8,6,3,2,1]=>[2,4,5,1,3,6,7,8]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[7,4,5,6,8,3,2,1]=>[7,4,8,6,5,3,2,1]=>[2,5,1,3,4,6,7,8]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[6,5,4,8,7,3,2,1]=>[3,4,5,1,2,6,7,8]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[5,8,4,7,6,3,2,1]=>[4,1,5,2,3,6,7,8]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[6,4,5,7,8,3,2,1]=>[6,4,8,7,5,3,2,1]=>[3,5,1,2,4,6,7,8]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[5,4,8,7,6,3,2,1]=>[4,5,1,2,3,6,7,8]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,3,4,2,1]=>[8,7,6,5,3,4,2,1]=>[1,2,3,4,6,5,7,8]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,3,4,2,1]=>[7,8,6,5,3,4,2,1]=>[2,1,3,4,6,5,7,8]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,3,4,2,1]=>[7,6,8,5,3,4,2,1]=>[2,3,1,4,6,5,7,8]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[7,8,5,6,3,4,2,1]=>[7,8,5,6,3,4,2,1]=>[2,1,4,3,6,5,7,8]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[8,5,6,7,3,4,2,1]=>[8,5,7,6,3,4,2,1]=>[1,4,2,3,6,5,7,8]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,3,4,2,1]=>[7,6,5,8,3,4,2,1]=>[2,3,4,1,6,5,7,8]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[6,7,5,8,3,4,2,1]=>[6,8,5,7,3,4,2,1]=>[3,1,4,2,6,5,7,8]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[5,8,7,6,3,4,2,1]=>[4,1,2,3,6,5,7,8]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[8,7,6,4,3,5,2,1]=>[8,7,6,4,3,5,2,1]=>[1,2,3,5,6,4,7,8]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[7,8,6,4,3,5,2,1]=>[7,8,6,4,3,5,2,1]=>[2,1,3,5,6,4,7,8]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[7,6,8,4,3,5,2,1]=>[7,6,8,4,3,5,2,1]=>[2,3,1,5,6,4,7,8]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[6,7,8,4,3,5,2,1]=>[6,8,7,4,3,5,2,1]=>[3,1,2,5,6,4,7,8]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[8,7,6,3,4,5,2,1]=>[8,7,6,3,5,4,2,1]=>[1,2,3,6,4,5,7,8]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[7,8,6,3,4,5,2,1]=>[7,8,6,3,5,4,2,1]=>[2,1,3,6,4,5,7,8]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[7,6,8,3,4,5,2,1]=>[7,6,8,3,5,4,2,1]=>[2,3,1,6,4,5,7,8]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[8,7,5,4,3,6,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,4,5,6,3,7,8]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[7,8,5,4,3,6,2,1]=>[7,8,5,4,3,6,2,1]=>[2,1,4,5,6,3,7,8]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[7,8,5,3,4,6,2,1]=>[7,8,5,3,6,4,2,1]=>[2,1,4,6,3,5,7,8]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[8,7,4,3,5,6,2,1]=>[8,7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7,8]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[8,7,3,4,5,6,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,6,3,4,5,7,8]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[7,6,5,4,3,8,2,1]=>[2,3,4,5,6,1,7,8]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[7,5,6,4,3,8,2,1]=>[7,5,8,4,3,6,2,1]=>[2,4,1,5,6,3,7,8]
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[7,4,5,6,3,8,2,1]=>[7,4,8,6,3,5,2,1]=>[2,5,1,3,6,4,7,8]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[6,4,5,7,3,8,2,1]=>[6,4,8,7,3,5,2,1]=>[3,5,1,2,6,4,7,8]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[5,4,8,7,3,6,2,1]=>[4,5,1,2,6,3,7,8]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[4,8,7,6,3,5,2,1]=>[5,1,2,3,6,4,7,8]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[7,6,3,4,5,8,2,1]=>[7,6,3,8,5,4,2,1]=>[2,3,6,1,4,5,7,8]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[7,5,4,3,6,8,2,1]=>[7,5,4,3,8,6,2,1]=>[2,4,5,6,1,3,7,8]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[7,5,3,4,6,8,2,1]=>[7,5,3,8,6,4,2,1]=>[2,4,6,1,3,5,7,8]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[6,5,4,3,8,7,2,1]=>[3,4,5,6,1,2,7,8]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,2,3,1]=>[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,7,6,8]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,2,3,1]=>[7,6,8,5,4,2,3,1]=>[2,3,1,4,5,7,6,8]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[8,5,6,7,4,2,3,1]=>[8,5,7,6,4,2,3,1]=>[1,4,2,3,5,7,6,8]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,2,3,1]=>[7,6,5,8,4,2,3,1]=>[2,3,4,1,5,7,6,8]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,2,3,1]=>[6,8,5,7,4,2,3,1]=>[3,1,4,2,5,7,6,8]
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,2,3,1]=>[7,5,8,6,4,2,3,1]=>[2,4,1,3,5,7,6,8]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[5,8,7,6,4,2,3,1]=>[4,1,2,3,5,7,6,8]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,2,3,1]=>[8,7,6,4,5,2,3,1]=>[1,2,3,5,4,7,6,8]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[7,6,8,4,5,2,3,1]=>[7,6,8,4,5,2,3,1]=>[2,3,1,5,4,7,6,8]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[6,7,8,4,5,2,3,1]=>[6,8,7,4,5,2,3,1]=>[3,1,2,5,4,7,6,8]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,2,3,1]=>[8,7,5,4,6,2,3,1]=>[1,2,4,5,3,7,6,8]
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[8,7,4,5,6,2,3,1]=>[8,7,4,6,5,2,3,1]=>[1,2,5,3,4,7,6,8]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[8,6,5,4,7,2,3,1]=>[8,6,5,4,7,2,3,1]=>[1,3,4,5,2,7,6,8]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,2,3,1]=>[8,5,7,4,6,2,3,1]=>[1,4,2,5,3,7,6,8]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,2,3,1]=>[8,6,4,7,5,2,3,1]=>[1,3,5,2,4,7,6,8]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,2,3,1]=>[7,5,8,4,6,2,3,1]=>[2,4,1,5,3,7,6,8]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,2,3,1]=>[6,5,8,4,7,2,3,1]=>[3,4,1,5,2,7,6,8]
[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,2,3,1]=>[4,8,7,6,5,2,3,1]=>[5,1,2,3,4,7,6,8]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,2,4,1]=>[8,7,6,5,3,2,4,1]=>[1,2,3,4,6,7,5,8]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,2,4,1]=>[7,8,6,5,3,2,4,1]=>[2,1,3,4,6,7,5,8]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,3,2,4,1]=>[8,6,7,5,3,2,4,1]=>[1,3,2,4,6,7,5,8]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,2,4,1]=>[7,6,8,5,3,2,4,1]=>[2,3,1,4,6,7,5,8]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,2,4,1]=>[6,8,7,5,3,2,4,1]=>[3,1,2,4,6,7,5,8]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[8,6,5,7,3,2,4,1]=>[1,3,4,2,6,7,5,8]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,2,4,1]=>[8,5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5,8]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,2,4,1]=>[7,6,5,8,3,2,4,1]=>[2,3,4,1,6,7,5,8]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,2,4,1]=>[6,8,5,7,3,2,4,1]=>[3,1,4,2,6,7,5,8]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[5,8,7,6,3,2,4,1]=>[4,1,2,3,6,7,5,8]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,2,3,4,1]=>[8,7,6,5,2,4,3,1]=>[1,2,3,4,7,5,6,8]
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,2,3,4,1]=>[7,6,8,5,2,4,3,1]=>[2,3,1,4,7,5,6,8]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,2,3,4,1]=>[6,8,7,5,2,4,3,1]=>[3,1,2,4,7,5,6,8]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,2,3,4,1]=>[8,7,5,6,2,4,3,1]=>[1,2,4,3,7,5,6,8]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,2,3,4,1]=>[7,8,5,6,2,4,3,1]=>[2,1,4,3,7,5,6,8]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,2,3,4,1]=>[8,6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6,8]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[8,5,7,6,2,4,3,1]=>[1,4,2,3,7,5,6,8]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,2,3,4,1]=>[7,6,5,8,2,4,3,1]=>[2,3,4,1,7,5,6,8]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,2,3,4,1]=>[6,8,5,7,2,4,3,1]=>[3,1,4,2,7,5,6,8]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,2,3,4,1]=>[6,5,8,7,2,4,3,1]=>[3,4,1,2,7,5,6,8]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[5,8,7,6,2,4,3,1]=>[4,1,2,3,7,5,6,8]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,2,5,1]=>[8,7,6,4,3,2,5,1]=>[1,2,3,5,6,7,4,8]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[7,8,6,4,3,2,5,1]=>[7,8,6,4,3,2,5,1]=>[2,1,3,5,6,7,4,8]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[8,6,7,4,3,2,5,1]=>[8,6,7,4,3,2,5,1]=>[1,3,2,5,6,7,4,8]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[7,6,8,4,3,2,5,1]=>[7,6,8,4,3,2,5,1]=>[2,3,1,5,6,7,4,8]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[6,7,8,4,3,2,5,1]=>[6,8,7,4,3,2,5,1]=>[3,1,2,5,6,7,4,8]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[8,7,6,3,4,2,5,1]=>[8,7,6,3,5,2,4,1]=>[1,2,3,6,4,7,5,8]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[8,6,7,3,4,2,5,1]=>[8,6,7,3,5,2,4,1]=>[1,3,2,6,4,7,5,8]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[7,6,8,3,4,2,5,1]=>[7,6,8,3,5,2,4,1]=>[2,3,1,6,4,7,5,8]
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[7,6,8,4,2,3,5,1]=>[7,6,8,4,2,5,3,1]=>[2,3,1,5,7,4,6,8]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[6,7,8,4,2,3,5,1]=>[6,8,7,4,2,5,3,1]=>[3,1,2,5,7,4,6,8]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[8,6,7,3,2,4,5,1]=>[8,6,7,3,2,5,4,1]=>[1,3,2,6,7,4,5,8]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[6,7,8,3,2,4,5,1]=>[6,8,7,3,2,5,4,1]=>[3,1,2,6,7,4,5,8]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[8,7,6,2,3,4,5,1]=>[8,7,6,2,5,4,3,1]=>[1,2,3,7,4,5,6,8]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[7,8,6,2,3,4,5,1]=>[7,8,6,2,5,4,3,1]=>[2,1,3,7,4,5,6,8]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[8,6,7,2,3,4,5,1]=>[8,6,7,2,5,4,3,1]=>[1,3,2,7,4,5,6,8]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[7,6,8,2,3,4,5,1]=>[7,6,8,2,5,4,3,1]=>[2,3,1,7,4,5,6,8]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[6,7,8,2,3,4,5,1]=>[6,8,7,2,5,4,3,1]=>[3,1,2,7,4,5,6,8]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[8,7,5,3,4,2,6,1]=>[8,7,5,3,6,2,4,1]=>[1,2,4,6,3,7,5,8]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[7,8,4,3,5,2,6,1]=>[7,8,4,3,6,2,5,1]=>[2,1,5,6,3,7,4,8]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[8,7,5,3,2,4,6,1]=>[8,7,5,3,2,6,4,1]=>[1,2,4,6,7,3,5,8]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[7,8,4,3,2,5,6,1]=>[7,8,4,3,2,6,5,1]=>[2,1,5,6,7,3,4,8]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[7,8,3,4,2,5,6,1]=>[7,8,3,6,2,5,4,1]=>[2,1,6,3,7,4,5,8]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[8,6,5,4,3,2,7,1]=>[8,6,5,4,3,2,7,1]=>[1,3,4,5,6,7,2,8]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[8,5,6,3,4,2,7,1]=>[8,5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5,8]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[8,6,4,3,5,2,7,1]=>[8,6,4,3,7,2,5,1]=>[1,3,5,6,2,7,4,8]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[8,6,3,4,5,2,7,1]=>[8,6,3,7,5,2,4,1]=>[1,3,6,2,4,7,5,8]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[8,4,5,3,6,2,7,1]=>[8,4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4,8]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[8,5,6,4,2,3,7,1]=>[8,5,7,4,2,6,3,1]=>[1,4,2,5,7,3,6,8]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[8,6,4,2,3,5,7,1]=>[8,6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6,8]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[8,5,3,4,2,6,7,1]=>[8,5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5,8]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[8,5,4,2,3,6,7,1]=>[8,5,4,2,7,6,3,1]=>[1,4,5,7,2,3,6,8]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>[7,4,5,6,3,2,8,1]=>[7,4,8,6,3,2,5,1]=>[2,5,1,3,6,7,4,8]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[6,4,5,7,3,2,8,1]=>[6,4,8,7,3,2,5,1]=>[3,5,1,2,6,7,4,8]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[4,8,7,6,3,2,5,1]=>[5,1,2,3,6,7,4,8]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[7,5,6,3,4,2,8,1]=>[7,5,8,3,6,2,4,1]=>[2,4,1,6,3,7,5,8]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[6,5,7,3,4,2,8,1]=>[6,5,8,3,7,2,4,1]=>[3,4,1,6,2,7,5,8]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[7,4,5,3,6,2,8,1]=>[7,4,8,3,6,2,5,1]=>[2,5,1,6,3,7,4,8]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[6,5,4,3,8,2,7,1]=>[3,4,5,6,1,7,2,8]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[6,4,5,3,7,2,8,1]=>[6,4,8,3,7,2,5,1]=>[3,5,1,6,2,7,4,8]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[5,4,8,3,7,2,6,1]=>[4,5,1,6,2,7,3,8]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[4,8,7,3,6,2,5,1]=>[5,1,2,6,3,7,4,8]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[6,5,3,4,7,2,8,1]=>[6,5,3,8,7,2,4,1]=>[3,4,6,1,2,7,5,8]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[5,6,3,4,7,2,8,1]=>[5,8,3,7,6,2,4,1]=>[4,1,6,2,3,7,5,8]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[5,4,3,8,7,2,6,1]=>[4,5,6,1,2,7,3,8]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>[6,7,5,4,2,3,8,1]=>[6,8,5,4,2,7,3,1]=>[3,1,4,5,7,2,6,8]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]=>[7,5,6,4,2,3,8,1]=>[7,5,8,4,2,6,3,1]=>[2,4,1,5,7,3,6,8]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,2,3,8,1]=>[6,5,8,4,2,7,3,1]=>[3,4,1,5,7,2,6,8]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,2,3,8,1]=>[5,8,7,4,2,6,3,1]=>[4,1,2,5,7,3,6,8]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,2,3,8,1]=>[6,8,4,7,2,5,3,1]=>[3,1,5,2,7,4,6,8]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,2,3,8,1]=>[7,4,8,6,2,5,3,1]=>[2,5,1,3,7,4,6,8]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,2,3,8,1]=>[6,5,4,8,2,7,3,1]=>[3,4,5,1,7,2,6,8]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,2,3,8,1]=>[5,8,4,7,2,6,3,1]=>[4,1,5,2,7,3,6,8]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,2,3,8,1]=>[6,4,8,7,2,5,3,1]=>[3,5,1,2,7,4,6,8]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,2,3,8,1]=>[5,4,8,7,2,6,3,1]=>[4,5,1,2,7,3,6,8]
[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[4,5,6,7,2,3,8,1]=>[4,8,7,6,2,5,3,1]=>[5,1,2,3,7,4,6,8]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[6,7,5,3,2,4,8,1]=>[6,8,5,3,2,7,4,1]=>[3,1,4,6,7,2,5,8]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[6,5,7,3,2,4,8,1]=>[6,5,8,3,2,7,4,1]=>[3,4,1,6,7,2,5,8]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[7,6,5,2,3,4,8,1]=>[7,6,5,2,8,4,3,1]=>[2,3,4,7,1,5,6,8]
[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[5,6,7,2,3,4,8,1]=>[5,8,7,2,6,4,3,1]=>[4,1,2,7,3,5,6,8]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[6,7,4,3,2,5,8,1]=>[6,8,4,3,2,7,5,1]=>[3,1,5,6,7,2,4,8]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[7,6,4,2,3,5,8,1]=>[7,6,4,2,8,5,3,1]=>[2,3,5,7,1,4,6,8]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[6,7,3,2,4,5,8,1]=>[6,8,3,2,7,5,4,1]=>[3,1,6,7,2,4,5,8]
[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[6,7,2,3,4,5,8,1]=>[6,8,2,7,5,4,3,1]=>[3,1,7,2,4,5,6,8]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[7,5,2,3,4,6,8,1]=>[7,5,2,8,6,4,3,1]=>[2,4,7,1,3,5,6,8]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[6,5,4,3,2,8,7,1]=>[3,4,5,6,7,1,2,8]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[5,4,8,3,2,7,6,1]=>[4,5,1,6,7,2,3,8]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[5,4,3,8,2,7,6,1]=>[4,5,6,1,7,2,3,8]
[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[3,8,7,6,2,5,4,1]=>[6,1,2,3,7,4,5,8]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[6,5,4,2,3,7,8,1]=>[6,5,4,2,8,7,3,1]=>[3,4,5,7,1,2,6,8]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>[5,6,4,2,3,7,8,1]=>[5,8,4,2,7,6,3,1]=>[4,1,5,7,2,3,6,8]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>[6,4,5,2,3,7,8,1]=>[6,4,8,2,7,5,3,1]=>[3,5,1,7,2,4,6,8]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[5,4,6,2,3,7,8,1]=>[5,4,8,2,7,6,3,1]=>[4,5,1,7,2,3,6,8]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[6,5,2,3,4,7,8,1]=>[6,5,2,8,7,4,3,1]=>[3,4,7,1,2,5,6,8]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[5,4,3,2,8,7,6,1]=>[4,5,6,7,1,2,3,8]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[4,3,8,2,7,6,5,1]=>[5,6,1,7,2,3,4,8]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[5,4,2,3,6,7,8,1]=>[5,4,2,8,7,6,3,1]=>[4,5,7,1,2,3,6,8]
[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[4,5,2,3,6,7,8,1]=>[4,8,2,7,6,5,3,1]=>[5,1,7,2,3,4,6,8]
[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[5,2,3,4,6,7,8,1]=>[5,2,8,7,6,4,3,1]=>[4,7,1,2,3,5,6,8]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[4,3,2,8,7,6,5,1]=>[5,6,7,1,2,3,4,8]
[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[3,8,2,7,6,5,4,1]=>[6,1,7,2,3,4,5,8]
[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[3,2,8,7,6,5,4,1]=>[6,7,1,2,3,4,5,8]
[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[2,8,7,6,5,4,3,1]=>[7,1,2,3,4,5,6,8]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,3,1,2]=>[8,7,5,6,4,3,1,2]=>[1,2,4,3,5,6,8,7]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[7,8,5,6,4,3,1,2]=>[7,8,5,6,4,3,1,2]=>[2,1,4,3,5,6,8,7]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,3,1,2]=>[7,6,5,8,4,3,1,2]=>[2,3,4,1,5,6,8,7]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,3,1,2]=>[7,5,8,6,4,3,1,2]=>[2,4,1,3,5,6,8,7]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[5,8,7,6,4,3,1,2]=>[4,1,2,3,5,6,8,7]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,3,1,2]=>[8,7,5,4,6,3,1,2]=>[1,2,4,5,3,6,8,7]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,3,1,2]=>[7,8,4,6,5,3,1,2]=>[2,1,5,3,4,6,8,7]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,3,1,2]=>[8,5,7,4,6,3,1,2]=>[1,4,2,5,3,6,8,7]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,3,1,2]=>[6,5,8,4,7,3,1,2]=>[3,4,1,5,2,6,8,7]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,3,1,2]=>[7,6,4,8,5,3,1,2]=>[2,3,5,1,4,6,8,7]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,3,1,2]=>[6,8,4,7,5,3,1,2]=>[3,1,5,2,4,6,8,7]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[5,6,4,7,8,3,1,2]=>[5,8,4,7,6,3,1,2]=>[4,1,5,2,3,6,8,7]
[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,3,1,2]=>[4,8,7,6,5,3,1,2]=>[5,1,2,3,4,6,8,7]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,4,1,2]=>[8,7,6,5,3,4,1,2]=>[1,2,3,4,6,5,8,7]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,4,1,2]=>[7,8,6,5,3,4,1,2]=>[2,1,3,4,6,5,8,7]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,4,1,2]=>[8,7,5,6,3,4,1,2]=>[1,2,4,3,6,5,8,7]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,4,1,2]=>[8,5,7,6,3,4,1,2]=>[1,4,2,3,6,5,8,7]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,4,1,2]=>[7,6,5,8,3,4,1,2]=>[2,3,4,1,6,5,8,7]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,4,1,2]=>[6,8,5,7,3,4,1,2]=>[3,1,4,2,6,5,8,7]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,4,1,2]=>[7,5,8,6,3,4,1,2]=>[2,4,1,3,6,5,8,7]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[6,5,8,7,3,4,1,2]=>[3,4,1,2,6,5,8,7]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[5,8,7,6,3,4,1,2]=>[4,1,2,3,6,5,8,7]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[8,7,6,3,4,5,1,2]=>[8,7,6,3,5,4,1,2]=>[1,2,3,6,4,5,8,7]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[7,8,6,3,4,5,1,2]=>[7,8,6,3,5,4,1,2]=>[2,1,3,6,4,5,8,7]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[7,8,5,4,3,6,1,2]=>[7,8,5,4,3,6,1,2]=>[2,1,4,5,6,3,8,7]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[8,7,4,5,3,6,1,2]=>[8,7,4,6,3,5,1,2]=>[1,2,5,3,6,4,8,7]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[7,8,4,5,3,6,1,2]=>[7,8,4,6,3,5,1,2]=>[2,1,5,3,6,4,8,7]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[7,8,5,3,4,6,1,2]=>[7,8,5,3,6,4,1,2]=>[2,1,4,6,3,5,8,7]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[8,7,4,3,5,6,1,2]=>[8,7,4,3,6,5,1,2]=>[1,2,5,6,3,4,8,7]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[7,8,4,3,6,5,1,2]=>[2,1,5,6,3,4,8,7]
[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>[7,8,3,6,5,4,1,2]=>[2,1,6,3,4,5,8,7]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>[8,5,4,6,3,7,1,2]=>[8,5,4,7,3,6,1,2]=>[1,4,5,2,6,3,8,7]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[8,5,4,3,6,7,1,2]=>[8,5,4,3,7,6,1,2]=>[1,4,5,6,2,3,8,7]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,3,8,1,2]=>[7,6,5,4,3,8,1,2]=>[2,3,4,5,6,1,8,7]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,3,8,1,2]=>[5,8,7,4,3,6,1,2]=>[4,1,2,5,6,3,8,7]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,3,8,1,2]=>[6,8,4,7,3,5,1,2]=>[3,1,5,2,6,4,8,7]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[7,5,4,6,3,8,1,2]=>[7,5,4,8,3,6,1,2]=>[2,4,5,1,6,3,8,7]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,3,8,1,2]=>[6,5,4,8,3,7,1,2]=>[3,4,5,1,6,2,8,7]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,3,8,1,2]=>[5,8,4,7,3,6,1,2]=>[4,1,5,2,6,3,8,7]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,3,8,1,2]=>[5,4,8,7,3,6,1,2]=>[4,5,1,2,6,3,8,7]
[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[4,5,6,7,3,8,1,2]=>[4,8,7,6,3,5,1,2]=>[5,1,2,3,6,4,8,7]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[7,5,6,3,4,8,1,2]=>[7,5,8,3,6,4,1,2]=>[2,4,1,6,3,5,8,7]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[7,6,3,4,5,8,1,2]=>[7,6,3,8,5,4,1,2]=>[2,3,6,1,4,5,8,7]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[7,5,4,3,6,8,1,2]=>[7,5,4,3,8,6,1,2]=>[2,4,5,6,1,3,8,7]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>[7,4,5,3,6,8,1,2]=>[7,4,8,3,6,5,1,2]=>[2,5,1,6,3,4,8,7]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[7,5,3,4,6,8,1,2]=>[7,5,3,8,6,4,1,2]=>[2,4,6,1,3,5,8,7]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[6,5,4,3,7,8,1,2]=>[6,5,4,3,8,7,1,2]=>[3,4,5,6,1,2,8,7]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[5,4,6,3,7,8,1,2]=>[5,4,8,3,7,6,1,2]=>[4,5,1,6,2,3,8,7]
[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[4,5,6,3,7,8,1,2]=>[4,8,7,3,6,5,1,2]=>[5,1,2,6,3,4,8,7]
[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[5,6,3,4,7,8,1,2]=>[5,8,3,7,6,4,1,2]=>[4,1,6,2,3,5,8,7]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[6,4,3,5,7,8,1,2]=>[6,4,3,8,7,5,1,2]=>[3,5,6,1,2,4,8,7]
[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[6,3,4,5,7,8,1,2]=>[6,3,8,7,5,4,1,2]=>[3,6,1,2,4,5,8,7]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[5,4,3,8,7,6,1,2]=>[4,5,6,1,2,3,8,7]
[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[4,5,3,6,7,8,1,2]=>[4,8,3,7,6,5,1,2]=>[5,1,6,2,3,4,8,7]
[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[5,3,4,6,7,8,1,2]=>[5,3,8,7,6,4,1,2]=>[4,6,1,2,3,5,8,7]
[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[4,3,5,6,7,8,1,2]=>[4,3,8,7,6,5,1,2]=>[5,6,1,2,3,4,8,7]
[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[3,8,7,6,5,4,1,2]=>[6,1,2,3,4,5,8,7]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[8,7,6,5,4,2,1,3]=>[1,2,3,4,5,7,8,6]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[7,6,8,5,4,2,1,3]=>[2,3,1,4,5,7,8,6]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,2,1,3]=>[8,7,5,6,4,2,1,3]=>[1,2,4,3,5,7,8,6]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,2,1,3]=>[7,8,5,6,4,2,1,3]=>[2,1,4,3,5,7,8,6]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,2,1,3]=>[7,6,5,8,4,2,1,3]=>[2,3,4,1,5,7,8,6]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,2,1,3]=>[6,8,5,7,4,2,1,3]=>[3,1,4,2,5,7,8,6]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,2,1,3]=>[7,5,8,6,4,2,1,3]=>[2,4,1,3,5,7,8,6]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,2,1,3]=>[6,5,8,7,4,2,1,3]=>[3,4,1,2,5,7,8,6]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[5,8,7,6,4,2,1,3]=>[4,1,2,3,5,7,8,6]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[7,6,8,4,5,2,1,3]=>[7,6,8,4,5,2,1,3]=>[2,3,1,5,4,7,8,6]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,2,1,3]=>[8,7,4,6,5,2,1,3]=>[1,2,5,3,4,7,8,6]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,2,1,3]=>[7,5,8,4,6,2,1,3]=>[2,4,1,5,3,7,8,6]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,2,1,3]=>[7,6,4,8,5,2,1,3]=>[2,3,5,1,4,7,8,6]
[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,2,1,3]=>[4,8,7,6,5,2,1,3]=>[5,1,2,3,4,7,8,6]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,1,2,3]=>[8,7,6,5,4,1,3,2]=>[1,2,3,4,5,8,6,7]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[6,8,7,5,4,1,3,2]=>[3,1,2,4,5,8,6,7]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,1,2,3]=>[7,8,5,6,4,1,3,2]=>[2,1,4,3,5,8,6,7]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,1,2,3]=>[8,5,7,6,4,1,3,2]=>[1,4,2,3,5,8,6,7]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,1,2,3]=>[7,6,5,8,4,1,3,2]=>[2,3,4,1,5,8,6,7]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,1,2,3]=>[6,8,5,7,4,1,3,2]=>[3,1,4,2,5,8,6,7]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,1,2,3]=>[7,5,8,6,4,1,3,2]=>[2,4,1,3,5,8,6,7]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,1,2,3]=>[6,5,8,7,4,1,3,2]=>[3,4,1,2,5,8,6,7]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[5,8,7,6,4,1,3,2]=>[4,1,2,3,5,8,6,7]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,1,2,3]=>[8,6,7,4,5,1,3,2]=>[1,3,2,5,4,8,6,7]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,1,2,3]=>[8,7,5,4,6,1,3,2]=>[1,2,4,5,3,8,6,7]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,1,2,3]=>[8,6,5,4,7,1,3,2]=>[1,3,4,5,2,8,6,7]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[8,5,6,4,7,1,2,3]=>[8,5,7,4,6,1,3,2]=>[1,4,2,5,3,8,6,7]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,1,2,3]=>[8,6,4,7,5,1,3,2]=>[1,3,5,2,4,8,6,7]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,1,2,3]=>[7,6,5,4,8,1,3,2]=>[2,3,4,5,1,8,6,7]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,1,2,3]=>[6,8,5,4,7,1,3,2]=>[3,1,4,5,2,8,6,7]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,1,2,3]=>[7,5,8,4,6,1,3,2]=>[2,4,1,5,3,8,6,7]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,1,2,3]=>[6,5,8,4,7,1,3,2]=>[3,4,1,5,2,8,6,7]
[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,1,2,3]=>[5,8,7,4,6,1,3,2]=>[4,1,2,5,3,8,6,7]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,1,2,3]=>[7,6,4,8,5,1,3,2]=>[2,3,5,1,4,8,6,7]
[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,1,2,3]=>[6,8,4,7,5,1,3,2]=>[3,1,5,2,4,8,6,7]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,1,2,3]=>[7,5,4,8,6,1,3,2]=>[2,4,5,1,3,8,6,7]
[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,1,2,3]=>[7,4,8,6,5,1,3,2]=>[2,5,1,3,4,8,6,7]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[6,5,4,8,7,1,3,2]=>[3,4,5,1,2,8,6,7]
[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,1,2,3]=>[5,8,4,7,6,1,3,2]=>[4,1,5,2,3,8,6,7]
[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,1,2,3]=>[5,4,8,7,6,1,3,2]=>[4,5,1,2,3,8,6,7]
[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[4,8,7,6,5,1,3,2]=>[5,1,2,3,4,8,6,7]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,2,1,4]=>[8,7,6,5,3,2,1,4]=>[1,2,3,4,6,7,8,5]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,2,1,4]=>[7,8,6,5,3,2,1,4]=>[2,1,3,4,6,7,8,5]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,2,1,4]=>[8,6,7,5,3,2,1,4]=>[1,3,2,4,6,7,8,5]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,2,1,4]=>[7,6,8,5,3,2,1,4]=>[2,3,1,4,6,7,8,5]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,2,1,4]=>[6,8,7,5,3,2,1,4]=>[3,1,2,4,6,7,8,5]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,2,1,4]=>[8,7,5,6,3,2,1,4]=>[1,2,4,3,6,7,8,5]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,2,1,4]=>[7,8,5,6,3,2,1,4]=>[2,1,4,3,6,7,8,5]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,2,1,4]=>[8,6,5,7,3,2,1,4]=>[1,3,4,2,6,7,8,5]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,2,1,4]=>[8,5,7,6,3,2,1,4]=>[1,4,2,3,6,7,8,5]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[7,6,5,8,3,2,1,4]=>[2,3,4,1,6,7,8,5]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,2,1,4]=>[6,8,5,7,3,2,1,4]=>[3,1,4,2,6,7,8,5]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,2,1,4]=>[7,5,8,6,3,2,1,4]=>[2,4,1,3,6,7,8,5]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,2,1,4]=>[6,5,8,7,3,2,1,4]=>[3,4,1,2,6,7,8,5]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[5,8,7,6,3,2,1,4]=>[4,1,2,3,6,7,8,5]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,3,1,4]=>[8,7,6,5,2,4,1,3]=>[1,2,3,4,7,5,8,6]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,3,1,4]=>[7,8,6,5,2,4,1,3]=>[2,1,3,4,7,5,8,6]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,3,1,4]=>[7,6,8,5,2,4,1,3]=>[2,3,1,4,7,5,8,6]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,3,1,4]=>[6,8,7,5,2,4,1,3]=>[3,1,2,4,7,5,8,6]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,3,1,4]=>[8,7,5,6,2,4,1,3]=>[1,2,4,3,7,5,8,6]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,3,1,4]=>[7,8,5,6,2,4,1,3]=>[2,1,4,3,7,5,8,6]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,3,1,4]=>[8,6,5,7,2,4,1,3]=>[1,3,4,2,7,5,8,6]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,3,1,4]=>[8,5,7,6,2,4,1,3]=>[1,4,2,3,7,5,8,6]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,3,1,4]=>[7,6,5,8,2,4,1,3]=>[2,3,4,1,7,5,8,6]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,3,1,4]=>[6,8,5,7,2,4,1,3]=>[3,1,4,2,7,5,8,6]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[7,5,8,6,2,4,1,3]=>[2,4,1,3,7,5,8,6]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,3,1,4]=>[6,5,8,7,2,4,1,3]=>[3,4,1,2,7,5,8,6]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[5,8,7,6,2,4,1,3]=>[4,1,2,3,7,5,8,6]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,1,2,4]=>[8,7,6,5,3,1,4,2]=>[1,2,3,4,6,8,5,7]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,1,2,4]=>[7,8,6,5,3,1,4,2]=>[2,1,3,4,6,8,5,7]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,1,2,4]=>[7,8,5,6,3,1,4,2]=>[2,1,4,3,6,8,5,7]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,1,2,4]=>[7,6,5,8,3,1,4,2]=>[2,3,4,1,6,8,5,7]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[6,8,5,7,3,1,4,2]=>[3,1,4,2,6,8,5,7]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,1,2,4]=>[7,5,8,6,3,1,4,2]=>[2,4,1,3,6,8,5,7]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,1,2,4]=>[6,5,8,7,3,1,4,2]=>[3,4,1,2,6,8,5,7]
[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[5,8,7,6,3,1,4,2]=>[4,1,2,3,6,8,5,7]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,1,3,4]=>[8,7,6,5,2,1,4,3]=>[1,2,3,4,7,8,5,6]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,1,3,4]=>[7,6,8,5,2,1,4,3]=>[2,3,1,4,7,8,5,6]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,1,3,4]=>[6,8,7,5,2,1,4,3]=>[3,1,2,4,7,8,5,6]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[7,8,5,6,2,1,4,3]=>[2,1,4,3,7,8,5,6]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,1,3,4]=>[8,6,5,7,2,1,4,3]=>[1,3,4,2,7,8,5,6]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,1,3,4]=>[8,5,7,6,2,1,4,3]=>[1,4,2,3,7,8,5,6]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,1,3,4]=>[7,6,5,8,2,1,4,3]=>[2,3,4,1,7,8,5,6]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,1,3,4]=>[6,8,5,7,2,1,4,3]=>[3,1,4,2,7,8,5,6]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,1,3,4]=>[7,5,8,6,2,1,4,3]=>[2,4,1,3,7,8,5,6]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[6,5,8,7,2,1,4,3]=>[3,4,1,2,7,8,5,6]
[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[5,8,7,6,2,1,4,3]=>[4,1,2,3,7,8,5,6]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[8,7,6,5,1,4,3,2]=>[1,2,3,4,8,5,6,7]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[7,8,6,5,1,4,3,2]=>[2,1,3,4,8,5,6,7]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[8,6,7,5,1,4,3,2]=>[1,3,2,4,8,5,6,7]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[7,6,8,5,1,4,3,2]=>[2,3,1,4,8,5,6,7]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[6,8,7,5,1,4,3,2]=>[3,1,2,4,8,5,6,7]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[8,7,5,6,1,4,3,2]=>[1,2,4,3,8,5,6,7]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[7,8,5,6,1,4,3,2]=>[2,1,4,3,8,5,6,7]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[8,6,5,7,1,4,3,2]=>[1,3,4,2,8,5,6,7]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[8,5,7,6,1,4,3,2]=>[1,4,2,3,8,5,6,7]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[7,6,5,8,1,4,3,2]=>[2,3,4,1,8,5,6,7]
[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[6,8,5,7,1,4,3,2]=>[3,1,4,2,8,5,6,7]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[7,5,8,6,1,4,3,2]=>[2,4,1,3,8,5,6,7]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[6,5,8,7,1,4,3,2]=>[3,4,1,2,8,5,6,7]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[5,8,7,6,1,4,3,2]=>[4,1,2,3,8,5,6,7]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[8,7,6,4,3,2,1,5]=>[1,2,3,5,6,7,8,4]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[7,8,6,4,3,2,1,5]=>[7,8,6,4,3,2,1,5]=>[2,1,3,5,6,7,8,4]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[8,6,7,4,3,2,1,5]=>[8,6,7,4,3,2,1,5]=>[1,3,2,5,6,7,8,4]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[7,6,8,4,3,2,1,5]=>[7,6,8,4,3,2,1,5]=>[2,3,1,5,6,7,8,4]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[6,7,8,4,3,2,1,5]=>[6,8,7,4,3,2,1,5]=>[3,1,2,5,6,7,8,4]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[8,7,6,3,4,2,1,5]=>[8,7,6,3,5,2,1,4]=>[1,2,3,6,4,7,8,5]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[7,8,6,3,4,2,1,5]=>[7,8,6,3,5,2,1,4]=>[2,1,3,6,4,7,8,5]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[6,7,8,3,4,2,1,5]=>[6,8,7,3,5,2,1,4]=>[3,1,2,6,4,7,8,5]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,2,3,1,5]=>[8,7,6,4,2,5,1,3]=>[1,2,3,5,7,4,8,6]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,2,3,1,5]=>[7,6,8,4,2,5,1,3]=>[2,3,1,5,7,4,8,6]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,2,3,1,5]=>[6,8,7,4,2,5,1,3]=>[3,1,2,5,7,4,8,6]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[8,7,6,3,2,4,1,5]=>[8,7,6,3,2,5,1,4]=>[1,2,3,6,7,4,8,5]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[8,6,7,3,2,4,1,5]=>[8,6,7,3,2,5,1,4]=>[1,3,2,6,7,4,8,5]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[6,7,8,3,2,4,1,5]=>[6,8,7,3,2,5,1,4]=>[3,1,2,6,7,4,8,5]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[8,7,6,2,3,4,1,5]=>[8,7,6,2,5,4,1,3]=>[1,2,3,7,4,5,8,6]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[6,8,7,2,5,4,1,3]=>[3,1,2,7,4,5,8,6]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,1,2,5]=>[8,7,6,4,3,1,5,2]=>[1,2,3,5,6,8,4,7]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,3,1,2,5]=>[6,8,7,4,3,1,5,2]=>[3,1,2,5,6,8,4,7]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[8,7,6,3,4,1,2,5]=>[8,7,6,3,5,1,4,2]=>[1,2,3,6,4,8,5,7]
[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[6,7,8,3,4,1,2,5]=>[6,8,7,3,5,1,4,2]=>[3,1,2,6,4,8,5,7]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[8,7,6,4,2,1,5,3]=>[1,2,3,5,7,8,4,6]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,2,1,3,5]=>[7,8,6,4,2,1,5,3]=>[2,1,3,5,7,8,4,6]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,2,1,3,5]=>[8,6,7,4,2,1,5,3]=>[1,3,2,5,7,8,4,6]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,2,1,3,5]=>[6,8,7,4,2,1,5,3]=>[3,1,2,5,7,8,4,6]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,1,2,3,5]=>[8,7,6,4,1,5,3,2]=>[1,2,3,5,8,4,6,7]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,1,2,3,5]=>[7,8,6,4,1,5,3,2]=>[2,1,3,5,8,4,6,7]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,1,2,3,5]=>[7,6,8,4,1,5,3,2]=>[2,3,1,5,8,4,6,7]
[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[6,8,7,4,1,5,3,2]=>[3,1,2,5,8,4,6,7]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[8,7,6,3,2,1,4,5]=>[8,7,6,3,2,1,5,4]=>[1,2,3,6,7,8,4,5]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[7,6,8,3,2,1,4,5]=>[7,6,8,3,2,1,5,4]=>[2,3,1,6,7,8,4,5]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[6,7,8,3,2,1,4,5]=>[6,8,7,3,2,1,5,4]=>[3,1,2,6,7,8,4,5]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[8,7,6,2,3,1,4,5]=>[8,7,6,2,5,1,4,3]=>[1,2,3,7,4,8,5,6]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[7,6,8,2,3,1,4,5]=>[7,6,8,2,5,1,4,3]=>[2,3,1,7,4,8,5,6]
[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[6,7,8,2,3,1,4,5]=>[6,8,7,2,5,1,4,3]=>[3,1,2,7,4,8,5,6]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[8,7,6,3,1,2,4,5]=>[8,7,6,3,1,5,4,2]=>[1,2,3,6,8,4,5,7]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[7,8,6,3,1,2,4,5]=>[7,8,6,3,1,5,4,2]=>[2,1,3,6,8,4,5,7]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[6,7,8,3,1,2,4,5]=>[6,8,7,3,1,5,4,2]=>[3,1,2,6,8,4,5,7]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[8,7,6,2,1,3,4,5]=>[8,7,6,2,1,5,4,3]=>[1,2,3,7,8,4,5,6]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[7,8,6,2,1,3,4,5]=>[7,8,6,2,1,5,4,3]=>[2,1,3,7,8,4,5,6]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[6,8,7,2,1,5,4,3]=>[3,1,2,7,8,4,5,6]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[8,7,6,1,5,4,3,2]=>[1,2,3,8,4,5,6,7]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[7,8,6,1,5,4,3,2]=>[2,1,3,8,4,5,6,7]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[8,6,7,1,5,4,3,2]=>[1,3,2,8,4,5,6,7]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[7,6,8,1,5,4,3,2]=>[2,3,1,8,4,5,6,7]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[6,8,7,1,5,4,3,2]=>[3,1,2,8,4,5,6,7]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[8,7,5,4,3,2,1,6]=>[8,7,5,4,3,2,1,6]=>[1,2,4,5,6,7,8,3]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[7,8,5,4,3,2,1,6]=>[7,8,5,4,3,2,1,6]=>[2,1,4,5,6,7,8,3]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[8,7,5,3,4,2,1,6]=>[8,7,5,3,6,2,1,4]=>[1,2,4,6,3,7,8,5]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[8,7,3,4,5,2,1,6]=>[8,7,3,6,5,2,1,4]=>[1,2,6,3,4,7,8,5]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[7,8,3,4,5,2,1,6]=>[7,8,3,6,5,2,1,4]=>[2,1,6,3,4,7,8,5]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[8,7,4,5,2,3,1,6]=>[8,7,4,6,2,5,1,3]=>[1,2,5,3,7,4,8,6]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,2,3,1,6]=>[7,8,4,6,2,5,1,3]=>[2,1,5,3,7,4,8,6]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[8,7,5,3,2,4,1,6]=>[8,7,5,3,2,6,1,4]=>[1,2,4,6,7,3,8,5]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[8,7,4,3,2,5,1,6]=>[8,7,4,3,2,6,1,5]=>[1,2,5,6,7,3,8,4]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[7,8,4,3,2,5,1,6]=>[7,8,4,3,2,6,1,5]=>[2,1,5,6,7,3,8,4]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[8,7,3,4,2,5,1,6]=>[8,7,3,6,2,5,1,4]=>[1,2,6,3,7,4,8,5]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[7,8,3,4,2,5,1,6]=>[7,8,3,6,2,5,1,4]=>[2,1,6,3,7,4,8,5]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,3,1,2,6]=>[8,7,5,4,3,1,6,2]=>[1,2,4,5,6,8,3,7]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[7,8,5,4,3,1,2,6]=>[7,8,5,4,3,1,6,2]=>[2,1,4,5,6,8,3,7]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[8,7,5,3,4,1,2,6]=>[8,7,5,3,6,1,4,2]=>[1,2,4,6,3,8,5,7]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[7,8,5,3,4,1,2,6]=>[7,8,5,3,6,1,4,2]=>[2,1,4,6,3,8,5,7]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>[7,8,5,4,2,1,6,3]=>[2,1,4,5,7,8,3,6]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,1,2,3,6]=>[7,8,5,4,1,6,3,2]=>[2,1,4,5,8,3,6,7]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[8,7,4,5,1,2,3,6]=>[8,7,4,6,1,5,3,2]=>[1,2,5,3,8,4,6,7]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[8,7,5,3,2,1,4,6]=>[8,7,5,3,2,1,6,4]=>[1,2,4,6,7,8,3,5]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[7,8,5,3,2,1,4,6]=>[7,8,5,3,2,1,6,4]=>[2,1,4,6,7,8,3,5]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[8,7,5,2,3,1,4,6]=>[8,7,5,2,6,1,4,3]=>[1,2,4,7,3,8,5,6]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[8,7,5,3,1,2,4,6]=>[8,7,5,3,1,6,4,2]=>[1,2,4,6,8,3,5,7]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[7,8,5,3,1,2,4,6]=>[7,8,5,3,1,6,4,2]=>[2,1,4,6,8,3,5,7]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[8,7,5,2,1,6,4,3]=>[1,2,4,7,8,3,5,6]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[7,8,5,2,1,6,4,3]=>[2,1,4,7,8,3,5,6]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[8,7,5,1,6,4,3,2]=>[1,2,4,8,3,5,6,7]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[7,8,5,1,6,4,3,2]=>[2,1,4,8,3,5,6,7]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[8,7,4,3,2,1,5,6]=>[8,7,4,3,2,1,6,5]=>[1,2,5,6,7,8,3,4]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[7,8,4,3,2,1,5,6]=>[7,8,4,3,2,1,6,5]=>[2,1,5,6,7,8,3,4]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[8,7,3,4,2,1,5,6]=>[8,7,3,6,2,1,5,4]=>[1,2,6,3,7,8,4,5]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[7,8,3,4,2,1,5,6]=>[7,8,3,6,2,1,5,4]=>[2,1,6,3,7,8,4,5]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[7,8,4,2,3,1,5,6]=>[7,8,4,2,6,1,5,3]=>[2,1,5,7,3,8,4,6]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[8,7,3,2,4,1,5,6]=>[8,7,3,2,6,1,5,4]=>[1,2,6,7,3,8,4,5]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[7,8,3,2,4,1,5,6]=>[7,8,3,2,6,1,5,4]=>[2,1,6,7,3,8,4,5]
[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[7,8,2,3,4,1,5,6]=>[7,8,2,6,5,1,4,3]=>[2,1,7,3,4,8,5,6]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[7,8,4,3,1,2,5,6]=>[7,8,4,3,1,6,5,2]=>[2,1,5,6,8,3,4,7]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[8,7,3,4,1,2,5,6]=>[8,7,3,6,1,5,4,2]=>[1,2,6,3,8,4,5,7]
[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[7,8,3,4,1,2,5,6]=>[7,8,3,6,1,5,4,2]=>[2,1,6,3,8,4,5,7]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[7,8,4,2,1,3,5,6]=>[7,8,4,2,1,6,5,3]=>[2,1,5,7,8,3,4,6]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[7,8,4,1,2,3,5,6]=>[7,8,4,1,6,5,3,2]=>[2,1,5,8,3,4,6,7]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[8,7,3,2,1,4,5,6]=>[8,7,3,2,1,6,5,4]=>[1,2,6,7,8,3,4,5]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[7,8,3,2,1,6,5,4]=>[2,1,6,7,8,3,4,5]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[7,8,2,3,1,4,5,6]=>[7,8,2,6,1,5,4,3]=>[2,1,7,3,8,4,5,6]
[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[7,8,3,1,2,4,5,6]=>[7,8,3,1,6,5,4,2]=>[2,1,6,8,3,4,5,7]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[8,7,2,1,3,4,5,6]=>[8,7,2,1,6,5,4,3]=>[1,2,7,8,3,4,5,6]
[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[7,8,2,1,3,4,5,6]=>[7,8,2,1,6,5,4,3]=>[2,1,7,8,3,4,5,6]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[7,8,1,6,5,4,3,2]=>[2,1,8,3,4,5,6,7]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[8,6,5,4,3,2,1,7]=>[8,6,5,4,3,2,1,7]=>[1,3,4,5,6,7,8,2]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[8,5,6,4,3,2,1,7]=>[8,5,7,4,3,2,1,6]=>[1,4,2,5,6,7,8,3]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[8,4,7,6,3,2,1,5]=>[1,5,2,3,6,7,8,4]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[8,6,5,3,4,2,1,7]=>[8,6,5,3,7,2,1,4]=>[1,3,4,6,2,7,8,5]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[8,5,6,3,4,2,1,7]=>[8,5,7,3,6,2,1,4]=>[1,4,2,6,3,7,8,5]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[8,4,5,3,6,2,1,7]=>[8,4,7,3,6,2,1,5]=>[1,5,2,6,3,7,8,4]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[8,3,4,5,6,2,1,7]=>[8,3,7,6,5,2,1,4]=>[1,6,2,3,4,7,8,5]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,2,3,1,7]=>[8,6,5,4,2,7,1,3]=>[1,3,4,5,7,2,8,6]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[8,5,6,4,2,3,1,7]=>[8,5,7,4,2,6,1,3]=>[1,4,2,5,7,3,8,6]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[8,6,5,3,2,4,1,7]=>[8,6,5,3,2,7,1,4]=>[1,3,4,6,7,2,8,5]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[8,6,5,2,3,4,1,7]=>[8,6,5,2,7,4,1,3]=>[1,3,4,7,2,5,8,6]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[8,6,4,2,3,5,1,7]=>[8,6,4,2,7,5,1,3]=>[1,3,5,7,2,4,8,6]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[8,6,3,2,4,5,1,7]=>[8,6,3,2,7,5,1,4]=>[1,3,6,7,2,4,8,5]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>[8,5,2,3,4,6,1,7]=>[8,5,2,7,6,4,1,3]=>[1,4,7,2,3,5,8,6]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,3,1,2,7]=>[8,6,4,7,3,1,5,2]=>[1,3,5,2,6,8,4,7]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[8,5,7,3,6,1,4,2]=>[1,4,2,6,3,8,5,7]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[8,6,3,4,5,1,2,7]=>[8,6,3,7,5,1,4,2]=>[1,3,6,2,4,8,5,7]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[8,4,5,3,6,1,2,7]=>[8,4,7,3,6,1,5,2]=>[1,5,2,6,3,8,4,7]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[8,4,3,5,6,1,2,7]=>[8,4,3,7,6,1,5,2]=>[1,5,6,2,3,8,4,7]
[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[8,3,4,5,6,1,2,7]=>[8,3,7,6,5,1,4,2]=>[1,6,2,3,4,8,5,7]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,2,1,3,7]=>[8,6,5,4,2,1,7,3]=>[1,3,4,5,7,8,2,6]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,2,1,3,7]=>[8,5,7,4,2,1,6,3]=>[1,4,2,5,7,8,3,6]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,1,2,3,7]=>[8,5,7,4,1,6,3,2]=>[1,4,2,5,8,3,6,7]
[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[8,4,5,6,1,2,3,7]=>[8,4,7,6,1,5,3,2]=>[1,5,2,3,8,4,6,7]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[8,6,5,3,2,1,4,7]=>[8,6,5,3,2,1,7,4]=>[1,3,4,6,7,8,2,5]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[8,5,6,3,2,1,4,7]=>[8,5,7,3,2,1,6,4]=>[1,4,2,6,7,8,3,5]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[8,6,5,2,3,1,4,7]=>[8,6,5,2,7,1,4,3]=>[1,3,4,7,2,8,5,6]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[8,5,7,2,6,1,4,3]=>[1,4,2,7,3,8,5,6]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[8,5,6,3,1,2,4,7]=>[8,5,7,3,1,6,4,2]=>[1,4,2,6,8,3,5,7]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[8,6,5,2,1,3,4,7]=>[8,6,5,2,1,7,4,3]=>[1,3,4,7,8,2,5,6]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[8,5,6,2,1,3,4,7]=>[8,5,7,2,1,6,4,3]=>[1,4,2,7,8,3,5,6]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[8,6,5,1,2,3,4,7]=>[8,6,5,1,7,4,3,2]=>[1,3,4,8,2,5,6,7]
[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[8,5,6,1,2,3,4,7]=>[8,5,7,1,6,4,3,2]=>[1,4,2,8,3,5,6,7]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>[8,6,4,3,2,1,7,5]=>[1,3,5,6,7,8,2,4]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[8,6,3,7,2,1,5,4]=>[1,3,6,2,7,8,4,5]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[8,6,4,2,3,1,5,7]=>[8,6,4,2,7,1,5,3]=>[1,3,5,7,2,8,4,6]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[8,6,3,4,1,2,5,7]=>[8,6,3,7,1,5,4,2]=>[1,3,6,2,8,4,5,7]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[8,6,4,2,1,7,5,3]=>[1,3,5,7,8,2,4,6]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[8,6,4,1,2,3,5,7]=>[8,6,4,1,7,5,3,2]=>[1,3,5,8,2,4,6,7]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[8,6,3,2,1,4,5,7]=>[8,6,3,2,1,7,5,4]=>[1,3,6,7,8,2,4,5]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[8,4,5,3,2,1,6,7]=>[8,4,7,3,2,1,6,5]=>[1,5,2,6,7,8,3,4]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[8,4,3,5,2,1,6,7]=>[8,4,3,7,2,1,6,5]=>[1,5,6,2,7,8,3,4]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[8,3,4,5,2,1,6,7]=>[8,3,7,6,2,1,5,4]=>[1,6,2,3,7,8,4,5]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[8,4,5,2,3,1,6,7]=>[8,4,7,2,6,1,5,3]=>[1,5,2,7,3,8,4,6]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[8,5,2,3,4,1,6,7]=>[8,5,2,7,6,1,4,3]=>[1,4,7,2,3,8,5,6]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>[8,4,2,3,5,1,6,7]=>[8,4,2,7,6,1,5,3]=>[1,5,7,2,3,8,4,6]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[8,5,3,4,1,2,6,7]=>[8,5,3,7,1,6,4,2]=>[1,4,6,2,8,3,5,7]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[8,5,4,2,1,3,6,7]=>[8,5,4,2,1,7,6,3]=>[1,4,5,7,8,2,3,6]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[8,5,3,2,1,4,6,7]=>[8,5,3,2,1,7,6,4]=>[1,4,6,7,8,2,3,5]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[8,5,3,1,2,4,6,7]=>[8,5,3,1,7,6,4,2]=>[1,4,6,8,2,3,5,7]
[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[8,5,1,2,3,4,6,7]=>[8,5,1,7,6,4,3,2]=>[1,4,8,2,3,5,6,7]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[8,4,3,2,1,5,6,7]=>[8,4,3,2,1,7,6,5]=>[1,5,6,7,8,2,3,4]
[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>[8,2,7,6,1,5,4,3]=>[1,7,2,3,8,4,5,6]
[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[8,3,4,1,2,5,6,7]=>[8,3,7,1,6,5,4,2]=>[1,6,2,8,3,4,5,7]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[8,4,2,1,3,5,6,7]=>[8,4,2,1,7,6,5,3]=>[1,5,7,8,2,3,4,6]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>[8,3,2,1,7,6,5,4]=>[1,6,7,8,2,3,4,5]
[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[8,2,3,1,4,5,6,7]=>[8,2,7,1,6,5,4,3]=>[1,7,2,8,3,4,5,6]
[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>[8,3,1,7,6,5,4,2]=>[1,6,8,2,3,4,5,7]
[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[6,8,5,4,3,2,1,7]=>[3,1,4,5,6,7,8,2]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[7,5,6,4,3,2,1,8]=>[7,5,8,4,3,2,1,6]=>[2,4,1,5,6,7,8,3]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[6,5,8,4,3,2,1,7]=>[3,4,1,5,6,7,8,2]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[5,8,7,4,3,2,1,6]=>[4,1,2,5,6,7,8,3]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>[7,6,4,8,3,2,1,5]=>[2,3,5,1,6,7,8,4]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[7,4,5,6,3,2,1,8]=>[7,4,8,6,3,2,1,5]=>[2,5,1,3,6,7,8,4]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[6,5,4,8,3,2,1,7]=>[3,4,5,1,6,7,8,2]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[5,8,4,7,3,2,1,6]=>[4,1,5,2,6,7,8,3]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[4,8,7,6,3,2,1,5]=>[5,1,2,3,6,7,8,4]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[7,6,5,3,4,2,1,8]=>[7,6,5,3,8,2,1,4]=>[2,3,4,6,1,7,8,5]
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>[6,7,5,3,4,2,1,8]=>[6,8,5,3,7,2,1,4]=>[3,1,4,6,2,7,8,5]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[7,5,6,3,4,2,1,8]=>[7,5,8,3,6,2,1,4]=>[2,4,1,6,3,7,8,5]
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]=>[6,5,7,3,4,2,1,8]=>[6,5,8,3,7,2,1,4]=>[3,4,1,6,2,7,8,5]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[5,6,7,3,4,2,1,8]=>[5,8,7,3,6,2,1,4]=>[4,1,2,6,3,7,8,5]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[7,6,3,4,5,2,1,8]=>[7,6,3,8,5,2,1,4]=>[2,3,6,1,4,7,8,5]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[7,4,5,3,6,2,1,8]=>[7,4,8,3,6,2,1,5]=>[2,5,1,6,3,7,8,4]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>[7,3,4,5,6,2,1,8]=>[7,3,8,6,5,2,1,4]=>[2,6,1,3,4,7,8,5]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[6,5,4,3,8,2,1,7]=>[3,4,5,6,1,7,8,2]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[5,4,8,3,7,2,1,6]=>[4,5,1,6,2,7,8,3]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,2,3,1,8]=>[7,5,8,4,2,6,1,3]=>[2,4,1,5,7,3,8,6]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,2,3,1,8]=>[5,8,7,4,2,6,1,3]=>[4,1,2,5,7,3,8,6]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,2,3,1,8]=>[7,6,4,8,2,5,1,3]=>[2,3,5,1,7,4,8,6]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[6,7,4,5,2,3,1,8]=>[6,8,4,7,2,5,1,3]=>[3,1,5,2,7,4,8,6]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,2,3,1,8]=>[7,4,8,6,2,5,1,3]=>[2,5,1,3,7,4,8,6]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>[6,5,4,7,2,3,1,8]=>[6,5,4,8,2,7,1,3]=>[3,4,5,1,7,2,8,6]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[5,6,4,7,2,3,1,8]=>[5,8,4,7,2,6,1,3]=>[4,1,5,2,7,3,8,6]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,2,3,1,8]=>[5,4,8,7,2,6,1,3]=>[4,5,1,2,7,3,8,6]
[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[4,5,6,7,2,3,1,8]=>[4,8,7,6,2,5,1,3]=>[5,1,2,3,7,4,8,6]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[5,6,7,3,2,4,1,8]=>[5,8,7,3,2,6,1,4]=>[4,1,2,6,7,3,8,5]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[7,6,5,2,8,4,1,3]=>[2,3,4,7,1,5,8,6]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[6,7,5,2,3,4,1,8]=>[6,8,5,2,7,4,1,3]=>[3,1,4,7,2,5,8,6]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[7,5,6,2,3,4,1,8]=>[7,5,8,2,6,4,1,3]=>[2,4,1,7,3,5,8,6]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[6,5,7,2,3,4,1,8]=>[6,5,8,2,7,4,1,3]=>[3,4,1,7,2,5,8,6]
[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[5,6,7,2,3,4,1,8]=>[5,8,7,2,6,4,1,3]=>[4,1,2,7,3,5,8,6]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[6,7,4,3,2,5,1,8]=>[6,8,4,3,2,7,1,5]=>[3,1,5,6,7,2,8,4]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[6,7,3,4,2,5,1,8]=>[6,8,3,7,2,5,1,4]=>[3,1,6,2,7,4,8,5]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[7,6,4,2,3,5,1,8]=>[7,6,4,2,8,5,1,3]=>[2,3,5,7,1,4,8,6]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[7,6,3,2,4,5,1,8]=>[7,6,3,2,8,5,1,4]=>[2,3,6,7,1,4,8,5]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[6,7,3,2,4,5,1,8]=>[6,8,3,2,7,5,1,4]=>[3,1,6,7,2,4,8,5]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[7,6,2,3,4,5,1,8]=>[7,6,2,8,5,4,1,3]=>[2,3,7,1,4,5,8,6]
[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>[6,7,2,3,4,5,1,8]=>[6,8,2,7,5,4,1,3]=>[3,1,7,2,4,5,8,6]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[7,4,5,3,2,6,1,8]=>[7,4,8,3,2,6,1,5]=>[2,5,1,6,7,3,8,4]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[7,5,3,4,2,6,1,8]=>[7,5,3,8,2,6,1,4]=>[2,4,6,1,7,3,8,5]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[7,4,3,5,2,6,1,8]=>[7,4,3,8,2,6,1,5]=>[2,5,6,1,7,3,8,4]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>[7,4,5,2,3,6,1,8]=>[7,4,8,2,6,5,1,3]=>[2,5,1,7,3,4,8,6]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[7,5,3,2,4,6,1,8]=>[7,5,3,2,8,6,1,4]=>[2,4,6,7,1,3,8,5]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>[7,4,2,3,5,6,1,8]=>[7,4,2,8,6,5,1,3]=>[2,5,7,1,3,4,8,6]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>[5,4,6,3,2,7,1,8]=>[5,4,8,3,2,7,1,6]=>[4,5,1,6,7,2,8,3]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[5,6,3,4,2,7,1,8]=>[5,8,3,7,2,6,1,4]=>[4,1,6,2,7,3,8,5]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>[6,3,4,5,2,7,1,8]=>[6,3,8,7,2,5,1,4]=>[3,6,1,2,7,4,8,5]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[5,4,3,6,2,7,1,8]=>[5,4,3,8,2,7,1,6]=>[4,5,6,1,7,2,8,3]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]
[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[3,8,7,6,2,5,1,4]=>[6,1,2,3,7,4,8,5]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>[6,5,3,2,4,7,1,8]=>[6,5,3,2,8,7,1,4]=>[3,4,6,7,1,2,8,5]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[6,4,2,3,5,7,1,8]=>[6,4,2,8,7,5,1,3]=>[3,5,7,1,2,4,8,6]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>[6,3,2,4,5,7,1,8]=>[6,3,2,8,7,5,1,4]=>[3,6,7,1,2,4,8,5]
[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[6,2,3,4,5,7,1,8]=>[6,2,8,7,5,4,1,3]=>[3,7,1,2,4,5,8,6]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[5,4,3,2,8,7,1,6]=>[4,5,6,7,1,2,8,3]
[[.,[[[[.,.],[[.,.],.]],.],.]],.]=>[4,5,2,3,6,7,1,8]=>[4,8,2,7,6,5,1,3]=>[5,1,7,2,3,4,8,6]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,3,1,2,8]=>[7,4,8,6,3,1,5,2]=>[2,5,1,3,6,8,4,7]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,3,1,2,8]=>[5,4,8,7,3,1,6,2]=>[4,5,1,2,6,8,3,7]
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[4,5,6,7,3,1,2,8]=>[4,8,7,6,3,1,5,2]=>[5,1,2,3,6,8,4,7]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[7,5,6,3,4,1,2,8]=>[7,5,8,3,6,1,4,2]=>[2,4,1,6,3,8,5,7]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>[6,5,7,3,4,1,2,8]=>[6,5,8,3,7,1,4,2]=>[3,4,1,6,2,8,5,7]
[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[6,7,3,4,5,1,2,8]=>[6,8,3,7,5,1,4,2]=>[3,1,6,2,4,8,5,7]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[7,5,3,4,6,1,2,8]=>[7,5,3,8,6,1,4,2]=>[2,4,6,1,3,8,5,7]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>[6,5,4,3,7,1,2,8]=>[6,5,4,3,8,1,7,2]=>[3,4,5,6,1,8,2,7]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>[6,4,5,3,7,1,2,8]=>[6,4,8,3,7,1,5,2]=>[3,5,1,6,2,8,4,7]
[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[3,4,5,6,7,1,2,8]=>[3,8,7,6,5,1,4,2]=>[6,1,2,3,4,8,5,7]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,2,1,3,8]=>[7,4,8,6,2,1,5,3]=>[2,5,1,3,7,8,4,6]
[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[4,5,6,7,2,1,3,8]=>[4,8,7,6,2,1,5,3]=>[5,1,2,3,7,8,4,6]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[7,6,5,4,1,2,3,8]=>[7,6,5,4,1,8,3,2]=>[2,3,4,5,8,1,6,7]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[7,5,6,4,1,2,3,8]=>[7,5,8,4,1,6,3,2]=>[2,4,1,5,8,3,6,7]
[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,1,2,3,8]=>[5,8,7,4,1,6,3,2]=>[4,1,2,5,8,3,6,7]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[7,6,4,5,1,2,3,8]=>[7,6,4,8,1,5,3,2]=>[2,3,5,1,8,4,6,7]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,1,2,3,8]=>[7,5,4,8,1,6,3,2]=>[2,4,5,1,8,3,6,7]
[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,1,2,3,8]=>[7,4,8,6,1,5,3,2]=>[2,5,1,3,8,4,6,7]
[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[5,6,4,7,1,2,3,8]=>[5,8,4,7,1,6,3,2]=>[4,1,5,2,8,3,6,7]
[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[5,4,6,7,1,2,3,8]=>[5,4,8,7,1,6,3,2]=>[4,5,1,2,8,3,6,7]
[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[4,5,6,7,1,2,3,8]=>[4,8,7,6,1,5,3,2]=>[5,1,2,3,8,4,6,7]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[7,6,5,2,3,1,4,8]=>[7,6,5,2,8,1,4,3]=>[2,3,4,7,1,8,5,6]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>[6,7,5,2,3,1,4,8]=>[6,8,5,2,7,1,4,3]=>[3,1,4,7,2,8,5,6]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[7,5,6,2,3,1,4,8]=>[7,5,8,2,6,1,4,3]=>[2,4,1,7,3,8,5,6]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[6,5,7,2,3,1,4,8]=>[6,5,8,2,7,1,4,3]=>[3,4,1,7,2,8,5,6]
[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[5,6,7,2,3,1,4,8]=>[5,8,7,2,6,1,4,3]=>[4,1,2,7,3,8,5,6]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[7,5,6,3,1,2,4,8]=>[7,5,8,3,1,6,4,2]=>[2,4,1,6,8,3,5,7]
[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[5,6,7,3,1,2,4,8]=>[5,8,7,3,1,6,4,2]=>[4,1,2,6,8,3,5,7]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[7,6,5,2,1,3,4,8]=>[7,6,5,2,1,8,4,3]=>[2,3,4,7,8,1,5,6]
[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[5,6,7,2,1,3,4,8]=>[5,8,7,2,1,6,4,3]=>[4,1,2,7,8,3,5,6]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[7,6,5,1,2,3,4,8]=>[7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]
[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[6,7,5,1,2,3,4,8]=>[6,8,5,1,7,4,3,2]=>[3,1,4,8,2,5,6,7]
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[7,5,6,1,2,3,4,8]=>[7,5,8,1,6,4,3,2]=>[2,4,1,8,3,5,6,7]
[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[6,5,7,1,2,3,4,8]=>[6,5,8,1,7,4,3,2]=>[3,4,1,8,2,5,6,7]
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>[5,8,7,1,6,4,3,2]=>[4,1,2,8,3,5,6,7]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[7,6,4,3,2,1,5,8]=>[7,6,4,3,2,1,8,5]=>[2,3,5,6,7,8,1,4]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[6,7,4,3,2,1,5,8]=>[6,8,4,3,2,1,7,5]=>[3,1,5,6,7,8,2,4]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>[6,7,3,4,2,1,5,8]=>[6,8,3,7,2,1,5,4]=>[3,1,6,2,7,8,4,5]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>[7,6,4,2,3,1,5,8]=>[7,6,4,2,8,1,5,3]=>[2,3,5,7,1,8,4,6]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[7,6,3,2,4,1,5,8]=>[7,6,3,2,8,1,5,4]=>[2,3,6,7,1,8,4,5]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[7,6,2,3,4,1,5,8]=>[7,6,2,8,5,1,4,3]=>[2,3,7,1,4,8,5,6]
[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[6,7,2,3,4,1,5,8]=>[6,8,2,7,5,1,4,3]=>[3,1,7,2,4,8,5,6]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[7,6,4,2,1,3,5,8]=>[7,6,4,2,1,8,5,3]=>[2,3,5,7,8,1,4,6]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[7,6,3,2,1,4,5,8]=>[7,6,3,2,1,8,5,4]=>[2,3,6,7,8,1,4,5]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>[7,6,2,3,1,4,5,8]=>[7,6,2,8,1,5,4,3]=>[2,3,7,1,8,4,5,6]
[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[6,7,3,1,2,4,5,8]=>[6,8,3,1,7,5,4,2]=>[3,1,6,8,2,4,5,7]
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[6,7,1,2,3,4,5,8]=>[6,8,1,7,5,4,3,2]=>[3,1,8,2,4,5,6,7]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[7,5,2,3,4,1,6,8]=>[7,5,2,8,6,1,4,3]=>[2,4,7,1,3,8,5,6]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>[7,4,2,3,5,1,6,8]=>[7,4,2,8,6,1,5,3]=>[2,5,7,1,3,8,4,6]
[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[7,2,3,4,5,1,6,8]=>[7,2,8,6,5,1,4,3]=>[2,7,1,3,4,8,5,6]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[7,5,3,4,1,2,6,8]=>[7,5,3,8,1,6,4,2]=>[2,4,6,1,8,3,5,7]
[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[7,4,5,1,2,3,6,8]=>[7,4,8,1,6,5,3,2]=>[2,5,1,8,3,4,6,7]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[7,5,3,2,1,4,6,8]=>[7,5,3,2,1,8,6,4]=>[2,4,6,7,8,1,3,5]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[7,5,3,1,2,4,6,8]=>[7,5,3,1,8,6,4,2]=>[2,4,6,8,1,3,5,7]
[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[7,5,1,2,3,4,6,8]=>[7,5,1,8,6,4,3,2]=>[2,4,8,1,3,5,6,7]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[7,4,3,2,1,5,6,8]=>[7,4,3,2,1,8,6,5]=>[2,5,6,7,8,1,3,4]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[7,4,3,1,2,5,6,8]=>[7,4,3,1,8,6,5,2]=>[2,5,6,8,1,3,4,7]
[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[7,3,4,1,2,5,6,8]=>[7,3,8,1,6,5,4,2]=>[2,6,1,8,3,4,5,7]
[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[7,3,1,2,4,5,6,8]=>[7,3,1,8,6,5,4,2]=>[2,6,8,1,3,4,5,7]
[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[7,1,2,3,4,5,6,8]=>[7,1,8,6,5,4,3,2]=>[2,8,1,3,4,5,6,7]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>[5,6,4,3,2,1,7,8]=>[5,8,4,3,2,1,7,6]=>[4,1,5,6,7,8,2,3]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>[5,4,6,3,2,1,7,8]=>[5,4,8,3,2,1,7,6]=>[4,5,1,6,7,8,2,3]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[4,8,7,3,2,1,6,5]=>[5,1,2,6,7,8,3,4]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[6,5,3,4,2,1,7,8]=>[6,5,3,8,2,1,7,4]=>[3,4,6,1,7,8,2,5]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>[5,4,3,6,2,1,7,8]=>[5,4,3,8,2,1,7,6]=>[4,5,6,1,7,8,2,3]
[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[3,8,7,6,2,1,5,4]=>[6,1,2,3,7,8,4,5]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>[5,4,6,2,3,1,7,8]=>[5,4,8,2,7,1,6,3]=>[4,5,1,7,2,8,3,6]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>[5,6,3,2,4,1,7,8]=>[5,8,3,2,7,1,6,4]=>[4,1,6,7,2,8,3,5]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[6,5,2,3,4,1,7,8]=>[6,5,2,8,7,1,4,3]=>[3,4,7,1,2,8,5,6]
[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>[5,6,2,3,4,1,7,8]=>[5,8,2,7,6,1,4,3]=>[4,1,7,2,3,8,5,6]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[6,4,3,2,5,1,7,8]=>[6,4,3,2,8,1,7,5]=>[3,5,6,7,1,8,2,4]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[5,4,3,2,8,1,7,6]=>[4,5,6,7,1,8,2,3]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[4,8,3,2,7,1,6,5]=>[5,1,6,7,2,8,3,4]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>[5,3,2,4,6,1,7,8]=>[5,3,2,8,7,1,6,4]=>[4,6,7,1,2,8,3,5]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[6,5,4,3,1,2,7,8]=>[6,5,4,3,1,8,7,2]=>[3,4,5,6,8,1,2,7]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[5,6,4,3,1,2,7,8]=>[5,8,4,3,1,7,6,2]=>[4,1,5,6,8,2,3,7]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[5,4,6,3,1,2,7,8]=>[5,4,8,3,1,7,6,2]=>[4,5,1,6,8,2,3,7]
[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[5,6,3,4,1,2,7,8]=>[5,8,3,7,1,6,4,2]=>[4,1,6,2,8,3,5,7]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[6,4,3,5,1,2,7,8]=>[6,4,3,8,1,7,5,2]=>[3,5,6,1,8,2,4,7]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[5,4,3,6,1,2,7,8]=>[5,4,3,8,1,7,6,2]=>[4,5,6,1,8,2,3,7]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[5,6,4,2,1,3,7,8]=>[5,8,4,2,1,7,6,3]=>[4,1,5,7,8,2,3,6]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[6,4,5,2,1,3,7,8]=>[6,4,8,2,1,7,5,3]=>[3,5,1,7,8,2,4,6]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[5,4,6,2,1,3,7,8]=>[5,4,8,2,1,7,6,3]=>[4,5,1,7,8,2,3,6]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[5,6,3,2,1,4,7,8]=>[5,8,3,2,1,7,6,4]=>[4,1,6,7,8,2,3,5]
[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[6,5,1,2,3,4,7,8]=>[6,5,1,8,7,4,3,2]=>[3,4,8,1,2,5,6,7]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[6,4,3,2,1,5,7,8]=>[6,4,3,2,1,8,7,5]=>[3,5,6,7,8,1,2,4]
[[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>[6,3,4,2,1,5,7,8]=>[6,3,8,2,1,7,5,4]=>[3,6,1,7,8,2,4,5]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[6,4,3,1,2,5,7,8]=>[6,4,3,1,8,7,5,2]=>[3,5,6,8,1,2,4,7]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[6,4,2,1,3,5,7,8]=>[6,4,2,1,8,7,5,3]=>[3,5,7,8,1,2,4,6]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,8,7,6]=>[4,5,6,7,8,1,2,3]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[4,8,3,2,1,7,6,5]=>[5,1,6,7,8,2,3,4]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[5,3,4,2,1,6,7,8]=>[5,3,8,2,1,7,6,4]=>[4,6,1,7,8,2,3,5]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[4,3,8,2,1,7,6,5]=>[5,6,1,7,8,2,3,4]
[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[3,8,7,2,1,6,5,4]=>[6,1,2,7,8,3,4,5]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[5,4,2,3,1,6,7,8]=>[5,4,2,8,1,7,6,3]=>[4,5,7,1,8,2,3,6]
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[4,5,2,3,1,6,7,8]=>[4,8,2,7,1,6,5,3]=>[5,1,7,2,8,3,4,6]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[5,3,2,4,1,6,7,8]=>[5,3,2,8,1,7,6,4]=>[4,6,7,1,8,2,3,5]
[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[5,2,3,4,1,6,7,8]=>[5,2,8,7,1,6,4,3]=>[4,7,1,2,8,3,5,6]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[4,3,2,8,1,7,6,5]=>[5,6,7,1,8,2,3,4]
[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[3,8,2,7,1,6,5,4]=>[6,1,7,2,8,3,4,5]
[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[4,2,3,5,1,6,7,8]=>[4,2,8,7,1,6,5,3]=>[5,7,1,2,8,3,4,6]
[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[3,2,8,7,1,6,5,4]=>[6,7,1,2,8,3,4,5]
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[2,8,7,6,1,5,4,3]=>[7,1,2,3,8,4,5,6]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[5,4,3,1,2,6,7,8]=>[5,4,3,1,8,7,6,2]=>[4,5,6,8,1,2,3,7]
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[5,3,4,1,2,6,7,8]=>[5,3,8,1,7,6,4,2]=>[4,6,1,8,2,3,5,7]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[5,4,2,1,3,6,7,8]=>[5,4,2,1,8,7,6,3]=>[4,5,7,8,1,2,3,6]
[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[5,4,1,2,3,6,7,8]=>[5,4,1,8,7,6,3,2]=>[4,5,8,1,2,3,6,7]
[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[4,5,1,2,3,6,7,8]=>[4,8,1,7,6,5,3,2]=>[5,1,8,2,3,4,6,7]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[5,3,2,1,4,6,7,8]=>[5,3,2,1,8,7,6,4]=>[4,6,7,8,1,2,3,5]
[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[5,2,3,1,4,6,7,8]=>[5,2,8,1,7,6,4,3]=>[4,7,1,8,2,3,5,6]
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[5,3,1,2,4,6,7,8]=>[5,3,1,8,7,6,4,2]=>[4,6,8,1,2,3,5,7]
[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[5,2,1,3,4,6,7,8]=>[5,2,1,8,7,6,4,3]=>[4,7,8,1,2,3,5,6]
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[5,1,2,3,4,6,7,8]=>[5,1,8,7,6,4,3,2]=>[4,8,1,2,3,5,6,7]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]
[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[3,8,2,1,7,6,5,4]=>[6,1,7,8,2,3,4,5]
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[4,2,3,1,5,6,7,8]=>[4,2,8,1,7,6,5,3]=>[5,7,1,8,2,3,4,6]
[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[3,2,8,1,7,6,5,4]=>[6,7,1,8,2,3,4,5]
[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[2,8,7,1,6,5,4,3]=>[7,1,2,8,3,4,5,6]
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[4,3,1,2,5,6,7,8]=>[4,3,1,8,7,6,5,2]=>[5,6,8,1,2,3,4,7]
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[3,4,1,2,5,6,7,8]=>[3,8,1,7,6,5,4,2]=>[6,1,8,2,3,4,5,7]
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[4,2,1,3,5,6,7,8]=>[4,2,1,8,7,6,5,3]=>[5,7,8,1,2,3,4,6]
[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[4,1,2,3,5,6,7,8]=>[4,1,8,7,6,5,3,2]=>[5,8,1,2,3,4,6,7]
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[3,2,1,8,7,6,5,4]=>[6,7,8,1,2,3,4,5]
[[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[2,8,1,7,6,5,4,3]=>[7,1,8,2,3,4,5,6]
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[3,1,2,4,5,6,7,8]=>[3,1,8,7,6,5,4,2]=>[6,8,1,2,3,4,5,7]
[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[2,1,8,7,6,5,4,3]=>[7,8,1,2,3,4,5,6]
[[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
Simion-Schmidt map
Description
The Simion-Schmidt map sends any permutation to a $123$-avoiding permutation.
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
Details can be found in [1].
In particular, this is a bijection between $132$-avoiding permutations and $123$-avoiding permutations, see [1, Proposition 19].
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
searching the database
Sorry, this map was not found in the database.