Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00068: Permutations —Simion-Schmidt map⟶ Permutations
Mp00064: Permutations —reverse⟶ 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]=>[1,3,2]
[[.,.],[.,.]]=>[3,1,2]=>[3,1,2]=>[2,1,3]
[[.,[.,.]],.]=>[2,1,3]=>[2,1,3]=>[3,1,2]
[[[.,.],.],.]=>[1,2,3]=>[1,3,2]=>[2,3,1]
[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[3,4,2,1]=>[1,2,4,3]
[.,[[.,.],[.,.]]]=>[4,2,3,1]=>[4,2,3,1]=>[1,3,2,4]
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[3,2,4,1]=>[1,4,2,3]
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[2,4,3,1]=>[1,3,4,2]
[[.,.],[.,[.,.]]]=>[4,3,1,2]=>[4,3,1,2]=>[2,1,3,4]
[[.,.],[[.,.],.]]=>[3,4,1,2]=>[3,4,1,2]=>[2,1,4,3]
[[.,[.,.]],[.,.]]=>[4,2,1,3]=>[4,2,1,3]=>[3,1,2,4]
[[[.,.],.],[.,.]]=>[4,1,2,3]=>[4,1,3,2]=>[2,3,1,4]
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1,4]=>[4,1,2,3]
[[.,[[.,.],.]],.]=>[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]=>[2,3,4,1]
[.,[.,[.,[.,[.,.]]]]]=>[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]=>[1,2,3,5,4]
[.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[5,3,4,2,1]=>[1,2,4,3,5]
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[4,3,5,2,1]=>[1,2,5,3,4]
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[3,5,4,2,1]=>[1,2,4,5,3]
[.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[5,4,2,3,1]=>[1,3,2,4,5]
[.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[4,5,2,3,1]=>[1,3,2,5,4]
[.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[1,4,2,3,5]
[.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[5,2,4,3,1]=>[1,3,4,2,5]
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[4,3,2,5,1]=>[1,5,2,3,4]
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[3,5,2,4,1]=>[1,4,2,5,3]
[.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[4,2,5,3,1]=>[1,3,5,2,4]
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[3,2,5,4,1]=>[1,4,5,2,3]
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[2,5,4,3,1]=>[1,3,4,5,2]
[[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[5,4,3,1,2]=>[2,1,3,4,5]
[[.,.],[.,[[.,.],.]]]=>[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]=>[2,1,4,3,5]
[[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[4,3,5,1,2]=>[2,1,5,3,4]
[[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[3,5,4,1,2]=>[2,1,4,5,3]
[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[5,4,2,1,3]=>[3,1,2,4,5]
[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[4,5,2,1,3]=>[3,1,2,5,4]
[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[5,4,1,3,2]=>[2,3,1,4,5]
[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[4,5,1,3,2]=>[2,3,1,5,4]
[[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[5,3,2,1,4]=>[4,1,2,3,5]
[[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[5,2,4,1,3]=>[3,1,4,2,5]
[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[5,3,1,4,2]=>[2,4,1,3,5]
[[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[5,2,1,4,3]=>[3,4,1,2,5]
[[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[5,1,4,3,2]=>[2,3,4,1,5]
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[5,1,2,3,4]
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[3,5,2,1,4]=>[4,1,2,5,3]
[[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[4,2,5,1,3]=>[3,1,5,2,4]
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[3,2,5,1,4]=>[4,1,5,2,3]
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[2,5,4,1,3]=>[3,1,4,5,2]
[[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[4,3,1,5,2]=>[2,5,1,3,4]
[[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[3,5,1,4,2]=>[2,4,1,5,3]
[[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[4,2,1,5,3]=>[3,5,1,2,4]
[[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[4,1,5,3,2]=>[2,3,5,1,4]
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,2,1,5,4]=>[4,5,1,2,3]
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[2,5,1,4,3]=>[3,4,1,5,2]
[[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[3,1,5,4,2]=>[2,4,5,1,3]
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,1,5,4,3]=>[3,4,5,1,2]
[[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,5,4,3,2]=>[2,3,4,5,1]
[.,[.,[.,[.,[.,[.,.]]]]]]=>[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]=>[1,2,3,4,6,5]
[.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[1,2,3,5,4,6]
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[1,2,3,6,4,5]
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[4,6,5,3,2,1]=>[1,2,3,5,6,4]
[.,[.,[[.,.],[.,[.,.]]]]]=>[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]=>[1,2,4,3,6,5]
[.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[6,4,3,5,2,1]=>[1,2,5,3,4,6]
[.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[6,3,5,4,2,1]=>[1,2,4,5,3,6]
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[1,2,6,3,4,5]
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[4,6,3,5,2,1]=>[1,2,5,3,6,4]
[.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[5,3,6,4,2,1]=>[1,2,4,6,3,5]
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[4,3,6,5,2,1]=>[1,2,5,6,3,4]
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[3,6,5,4,2,1]=>[1,2,4,5,6,3]
[.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[1,3,2,4,5,6]
[.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[1,3,2,4,6,5]
[.,[[.,.],[[.,.],[.,.]]]]=>[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]=>[1,3,2,6,4,5]
[.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[4,6,5,2,3,1]=>[1,3,2,5,6,4]
[.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[6,5,3,2,4,1]=>[1,4,2,3,5,6]
[.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[1,4,2,3,6,5]
[.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[6,5,2,4,3,1]=>[1,3,4,2,5,6]
[.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[5,6,2,4,3,1]=>[1,3,4,2,6,5]
[.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[1,5,2,3,4,6]
[.,[[.,[[.,.],.]],[.,.]]]=>[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]=>[1,3,4,5,2,6]
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[1,6,2,3,4,5]
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[4,6,3,2,5,1]=>[1,5,2,3,6,4]
[.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[5,3,6,2,4,1]=>[1,4,2,6,3,5]
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[4,3,6,2,5,1]=>[1,5,2,6,3,4]
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[3,6,5,2,4,1]=>[1,4,2,5,6,3]
[.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[5,4,2,6,3,1]=>[1,3,6,2,4,5]
[.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[4,6,2,5,3,1]=>[1,3,5,2,6,4]
[.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[5,3,2,6,4,1]=>[1,4,6,2,3,5]
[.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[5,2,6,4,3,1]=>[1,3,4,6,2,5]
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[4,3,2,6,5,1]=>[1,5,6,2,3,4]
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[3,6,2,5,4,1]=>[1,4,5,2,6,3]
[.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[4,2,6,5,3,1]=>[1,3,5,6,2,4]
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[3,2,6,5,4,1]=>[1,4,5,6,2,3]
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[2,6,5,4,3,1]=>[1,3,4,5,6,2]
[[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[2,1,3,4,5,6]
[[.,.],[.,[.,[[.,.],.]]]]=>[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]=>[2,1,3,5,4,6]
[[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[2,1,3,6,4,5]
[[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[4,6,5,3,1,2]=>[2,1,3,5,6,4]
[[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[2,1,4,3,5,6]
[[.,.],[[.,.],[[.,.],.]]]=>[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]=>[2,1,5,3,4,6]
[[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[6,3,5,4,1,2]=>[2,1,4,5,3,6]
[[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[5,4,3,6,1,2]=>[2,1,6,3,4,5]
[[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[4,6,3,5,1,2]=>[2,1,5,3,6,4]
[[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[5,3,6,4,1,2]=>[2,1,4,6,3,5]
[[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[4,3,6,5,1,2]=>[2,1,5,6,3,4]
[[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[3,6,5,4,1,2]=>[2,1,4,5,6,3]
[[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[3,1,2,4,5,6]
[[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[3,1,2,4,6,5]
[[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[3,1,2,5,4,6]
[[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[3,1,2,6,4,5]
[[.,[.,.]],[[[.,.],.],.]]=>[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]=>[2,3,1,4,5,6]
[[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[5,6,4,1,3,2]=>[2,3,1,4,6,5]
[[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[6,4,5,1,3,2]=>[2,3,1,5,4,6]
[[[.,.],.],[[.,[.,.]],.]]=>[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]=>[2,3,1,5,6,4]
[[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[4,1,2,3,5,6]
[[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[4,1,2,3,6,5]
[[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[6,5,2,4,1,3]=>[3,1,4,2,5,6]
[[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[5,6,2,4,1,3]=>[3,1,4,2,6,5]
[[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[6,5,3,1,4,2]=>[2,4,1,3,5,6]
[[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[5,6,3,1,4,2]=>[2,4,1,3,6,5]
[[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[6,5,2,1,4,3]=>[3,4,1,2,5,6]
[[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[5,6,2,1,4,3]=>[3,4,1,2,6,5]
[[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[6,5,1,4,3,2]=>[2,3,4,1,5,6]
[[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[5,6,1,4,3,2]=>[2,3,4,1,6,5]
[[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[5,1,2,3,4,6]
[[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[6,3,5,2,1,4]=>[4,1,2,5,3,6]
[[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[6,4,2,5,1,3]=>[3,1,5,2,4,6]
[[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[6,3,2,5,1,4]=>[4,1,5,2,3,6]
[[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[6,2,5,4,1,3]=>[3,1,4,5,2,6]
[[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[6,4,3,1,5,2]=>[2,5,1,3,4,6]
[[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[6,3,5,1,4,2]=>[2,4,1,5,3,6]
[[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[6,4,2,1,5,3]=>[3,5,1,2,4,6]
[[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[6,4,1,5,3,2]=>[2,3,5,1,4,6]
[[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[6,3,2,1,5,4]=>[4,5,1,2,3,6]
[[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[6,2,5,1,4,3]=>[3,4,1,5,2,6]
[[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[6,3,1,5,4,2]=>[2,4,5,1,3,6]
[[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[6,2,1,5,4,3]=>[3,4,5,1,2,6]
[[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[6,1,5,4,3,2]=>[2,3,4,5,1,6]
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[4,6,3,2,1,5]=>[5,1,2,3,6,4]
[[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[5,3,6,2,1,4]=>[4,1,2,6,3,5]
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[4,3,6,2,1,5]=>[5,1,2,6,3,4]
[[.,[.,[[[.,.],.],.]]],.]=>[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]=>[3,1,6,2,4,5]
[[.,[[.,.],[[.,.],.]]],.]=>[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]=>[4,1,6,2,3,5]
[[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[5,2,6,4,1,3]=>[3,1,4,6,2,5]
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[4,3,2,6,1,5]=>[5,1,6,2,3,4]
[[.,[[.,[[.,.],.]],.]],.]=>[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]=>[3,1,5,6,2,4]
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[3,2,6,5,1,4]=>[4,1,5,6,2,3]
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[2,6,5,4,1,3]=>[3,1,4,5,6,2]
[[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[5,4,3,1,6,2]=>[2,6,1,3,4,5]
[[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[4,6,3,1,5,2]=>[2,5,1,3,6,4]
[[[.,.],[[.,.],[.,.]]],.]=>[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]=>[2,5,1,6,3,4]
[[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[3,6,5,1,4,2]=>[2,4,1,5,6,3]
[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[5,4,2,1,6,3]=>[3,6,1,2,4,5]
[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[4,6,2,1,5,3]=>[3,5,1,2,6,4]
[[[[.,.],.],[.,[.,.]]],.]=>[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]=>[2,3,5,1,6,4]
[[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[5,3,2,1,6,4]=>[4,6,1,2,3,5]
[[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[5,2,6,1,4,3]=>[3,4,1,6,2,5]
[[[[.,.],[.,.]],[.,.]],.]=>[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]=>[3,4,6,1,2,5]
[[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[5,1,6,4,3,2]=>[2,3,4,6,1,5]
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[3,6,2,1,5,4]=>[4,5,1,2,6,3]
[[[.,[[.,.],[.,.]]],.],.]=>[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]=>[3,4,1,5,6,2]
[[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[4,3,1,6,5,2]=>[2,5,6,1,3,4]
[[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[3,6,1,5,4,2]=>[2,4,5,1,6,3]
[[[[.,[.,.]],[.,.]],.],.]=>[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]=>[2,3,5,6,1,4]
[[[[.,[.,[.,.]]],.],.],.]=>[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]=>[3,4,5,1,6,2]
[[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[3,1,6,5,4,2]=>[2,4,5,6,1,3]
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]
[[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[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]=>[1,2,3,4,5,7,6]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[6,5,7,3,4,2,1]=>[1,2,4,3,7,5,6]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[6,7,4,3,5,2,1]=>[1,2,5,3,4,7,6]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[7,4,6,3,5,2,1]=>[1,2,5,3,6,4,7]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[7,5,3,6,4,2,1]=>[1,2,4,6,3,5,7]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[7,4,3,6,5,2,1]=>[1,2,5,6,3,4,7]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[5,7,4,3,6,2,1]=>[1,2,6,3,4,7,5]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[6,4,7,3,5,2,1]=>[1,2,5,3,7,4,6]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[5,4,7,3,6,2,1]=>[1,2,6,3,7,4,5]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[4,7,6,3,5,2,1]=>[1,2,5,3,6,7,4]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[6,5,3,7,4,2,1]=>[1,2,4,7,3,5,6]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[5,7,3,6,4,2,1]=>[1,2,4,6,3,7,5]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[6,4,3,7,5,2,1]=>[1,2,5,7,3,4,6]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[6,3,7,5,4,2,1]=>[1,2,4,5,7,3,6]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[4,7,3,6,5,2,1]=>[1,2,5,6,3,7,4]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[5,3,7,6,4,2,1]=>[1,2,4,6,7,3,5]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[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]=>[1,3,2,4,7,5,6]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[7,5,4,6,2,3,1]=>[1,3,2,6,4,5,7]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[5,4,7,6,2,3,1]=>[1,3,2,6,7,4,5]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[7,5,6,3,2,4,1]=>[1,4,2,3,6,5,7]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[5,7,6,3,2,4,1]=>[1,4,2,3,6,7,5]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[6,5,7,2,4,3,1]=>[1,3,4,2,7,5,6]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[7,6,4,2,5,3,1]=>[1,3,5,2,4,6,7]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[6,7,4,2,5,3,1]=>[1,3,5,2,4,7,6]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[7,6,3,2,5,4,1]=>[1,4,5,2,3,6,7]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[1,6,2,3,4,5,7]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[7,4,6,3,2,5,1]=>[1,5,2,3,6,4,7]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[7,5,3,6,2,4,1]=>[1,4,2,6,3,5,7]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[7,4,3,6,2,5,1]=>[1,5,2,6,3,4,7]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[7,3,6,5,2,4,1]=>[1,4,2,5,6,3,7]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[7,5,4,2,6,3,1]=>[1,3,6,2,4,5,7]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[7,4,6,2,5,3,1]=>[1,3,5,2,6,4,7]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[7,5,2,6,4,3,1]=>[1,3,4,6,2,5,7]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[7,4,3,2,6,5,1]=>[1,5,6,2,3,4,7]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[7,3,6,2,5,4,1]=>[1,4,5,2,6,3,7]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[7,4,2,6,5,3,1]=>[1,3,5,6,2,4,7]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[7,3,2,6,5,4,1]=>[1,4,5,6,2,3,7]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[5,7,4,3,2,6,1]=>[1,6,2,3,4,7,5]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[6,4,7,3,2,5,1]=>[1,5,2,3,7,4,6]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[5,4,7,3,2,6,1]=>[1,6,2,3,7,4,5]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[4,7,6,3,2,5,1]=>[1,5,2,3,6,7,4]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[6,5,3,7,2,4,1]=>[1,4,2,7,3,5,6]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[5,7,3,6,2,4,1]=>[1,4,2,6,3,7,5]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[6,4,3,7,2,5,1]=>[1,5,2,7,3,4,6]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[5,4,3,7,2,6,1]=>[1,6,2,7,3,4,5]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[4,7,3,6,2,5,1]=>[1,5,2,6,3,7,4]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[5,3,7,6,2,4,1]=>[1,4,2,6,7,3,5]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[4,3,7,6,2,5,1]=>[1,5,2,6,7,3,4]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[3,7,6,5,2,4,1]=>[1,4,2,5,6,7,3]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[6,5,4,2,7,3,1]=>[1,3,7,2,4,5,6]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[5,7,4,2,6,3,1]=>[1,3,6,2,4,7,5]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[6,4,7,2,5,3,1]=>[1,3,5,2,7,4,6]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[5,4,7,2,6,3,1]=>[1,3,6,2,7,4,5]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[4,7,6,2,5,3,1]=>[1,3,5,2,6,7,4]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[6,5,3,2,7,4,1]=>[1,4,7,2,3,5,6]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[5,7,3,2,6,4,1]=>[1,4,6,2,3,7,5]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[6,5,2,7,4,3,1]=>[1,3,4,7,2,5,6]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[5,7,2,6,4,3,1]=>[1,3,4,6,2,7,5]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[6,4,3,2,7,5,1]=>[1,5,7,2,3,4,6]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[6,3,7,2,5,4,1]=>[1,4,5,2,7,3,6]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[6,4,2,7,5,3,1]=>[1,3,5,7,2,4,6]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[6,3,2,7,5,4,1]=>[1,4,5,7,2,3,6]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[6,2,7,5,4,3,1]=>[1,3,4,5,7,2,6]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[4,7,3,2,6,5,1]=>[1,5,6,2,3,7,4]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[5,3,7,2,6,4,1]=>[1,4,6,2,7,3,5]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[4,3,7,2,6,5,1]=>[1,5,6,2,7,3,4]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[3,7,6,2,5,4,1]=>[1,4,5,2,6,7,3]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[5,4,2,7,6,3,1]=>[1,3,6,7,2,4,5]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[4,7,2,6,5,3,1]=>[1,3,5,6,2,7,4]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[5,3,2,7,6,4,1]=>[1,4,6,7,2,3,5]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[5,2,7,6,4,3,1]=>[1,3,4,6,7,2,5]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[3,7,2,6,5,4,1]=>[1,4,5,6,2,7,3]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[4,2,7,6,5,3,1]=>[1,3,5,6,7,2,4]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[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]=>[2,1,3,4,6,5,7]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[6,5,7,4,3,1,2]=>[2,1,3,4,7,5,6]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[6,5,4,7,3,1,2]=>[2,1,3,7,4,5,6]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[6,4,7,5,3,1,2]=>[2,1,3,5,7,4,6]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[5,4,7,6,3,1,2]=>[2,1,3,6,7,4,5]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[6,5,7,3,4,1,2]=>[2,1,4,3,7,5,6]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[7,6,4,3,5,1,2]=>[2,1,5,3,4,6,7]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[2,1,5,3,4,7,6]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[7,5,4,3,6,1,2]=>[2,1,6,3,4,5,7]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[7,5,3,6,4,1,2]=>[2,1,4,6,3,5,7]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[7,4,3,6,5,1,2]=>[2,1,5,6,3,4,7]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[6,5,4,3,7,1,2]=>[2,1,7,3,4,5,6]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[5,7,4,3,6,1,2]=>[2,1,6,3,4,7,5]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[6,4,7,3,5,1,2]=>[2,1,5,3,7,4,6]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[4,7,6,3,5,1,2]=>[2,1,5,3,6,7,4]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[6,5,3,7,4,1,2]=>[2,1,4,7,3,5,6]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[5,7,3,6,4,1,2]=>[2,1,4,6,3,7,5]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[6,4,3,7,5,1,2]=>[2,1,5,7,3,4,6]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[6,3,7,5,4,1,2]=>[2,1,4,5,7,3,6]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[4,7,3,6,5,1,2]=>[2,1,5,6,3,7,4]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[5,3,7,6,4,1,2]=>[2,1,4,6,7,3,5]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[4,3,7,6,5,1,2]=>[2,1,5,6,7,3,4]
[[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[6,7,5,4,2,1,3]=>[3,1,2,4,5,7,6]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[3,1,2,4,7,5,6]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[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]=>[3,1,2,5,4,6,7]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[6,7,4,5,2,1,3]=>[3,1,2,5,4,7,6]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[7,5,4,6,2,1,3]=>[3,1,2,6,4,5,7]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[6,5,4,7,2,1,3]=>[3,1,2,7,4,5,6]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[5,7,4,6,2,1,3]=>[3,1,2,6,4,7,5]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[6,4,7,5,2,1,3]=>[3,1,2,5,7,4,6]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[5,4,7,6,2,1,3]=>[3,1,2,6,7,4,5]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[4,7,6,5,2,1,3]=>[3,1,2,5,6,7,4]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[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]=>[2,3,1,4,6,7,5]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[5,4,7,6,1,3,2]=>[2,3,1,6,7,4,5]
[[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[7,6,5,2,4,1,3]=>[3,1,4,2,5,6,7]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[6,7,5,3,1,4,2]=>[2,4,1,3,5,7,6]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[7,5,6,3,1,4,2]=>[2,4,1,3,6,5,7]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[6,5,7,3,1,4,2]=>[2,4,1,3,7,5,6]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[5,7,6,3,1,4,2]=>[2,4,1,3,6,7,5]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[6,7,5,2,1,4,3]=>[3,4,1,2,5,7,6]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[7,5,6,2,1,4,3]=>[3,4,1,2,6,5,7]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6]
[[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[6,7,3,5,2,1,4]=>[4,1,2,5,3,7,6]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[6,7,4,2,5,1,3]=>[3,1,5,2,4,7,6]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[6,7,2,5,4,1,3]=>[3,1,4,5,2,7,6]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[6,7,4,3,1,5,2]=>[2,5,1,3,4,7,6]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[6,7,3,5,1,4,2]=>[2,4,1,5,3,7,6]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[6,7,4,1,5,3,2]=>[2,3,5,1,4,7,6]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[6,7,3,2,1,5,4]=>[4,5,1,2,3,7,6]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[6,7,2,5,1,4,3]=>[3,4,1,5,2,7,6]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[6,7,3,1,5,4,2]=>[2,4,5,1,3,7,6]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[6,7,2,1,5,4,3]=>[3,4,5,1,2,7,6]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]
[[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[7,4,6,3,2,1,5]=>[5,1,2,3,6,4,7]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[7,4,3,6,2,1,5]=>[5,1,2,6,3,4,7]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[7,5,4,2,6,1,3]=>[3,1,6,2,4,5,7]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[7,5,2,6,4,1,3]=>[3,1,4,6,2,5,7]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[7,4,2,6,5,1,3]=>[3,1,5,6,2,4,7]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[7,3,2,6,5,1,4]=>[4,1,5,6,2,3,7]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[7,2,6,5,4,1,3]=>[3,1,4,5,6,2,7]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[7,4,6,3,1,5,2]=>[2,5,1,3,6,4,7]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[7,4,3,6,1,5,2]=>[2,5,1,6,3,4,7]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[7,3,6,5,1,4,2]=>[2,4,1,5,6,3,7]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[7,5,4,2,1,6,3]=>[3,6,1,2,4,5,7]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[7,4,6,2,1,5,3]=>[3,5,1,2,6,4,7]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[7,5,4,1,6,3,2]=>[2,3,6,1,4,5,7]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[7,4,2,6,1,5,3]=>[3,5,1,6,2,4,7]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[7,2,6,5,1,4,3]=>[3,4,1,5,6,2,7]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[7,4,3,1,6,5,2]=>[2,5,6,1,3,4,7]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[7,4,2,1,6,5,3]=>[3,5,6,1,2,4,7]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[7,4,1,6,5,3,2]=>[2,3,5,6,1,4,7]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[7,2,6,1,5,4,3]=>[3,4,5,1,6,2,7]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[7,3,1,6,5,4,2]=>[2,4,5,6,1,3,7]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]
[[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[6,4,7,3,2,1,5]=>[5,1,2,3,7,4,6]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[5,4,7,3,2,1,6]=>[6,1,2,3,7,4,5]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[6,4,3,7,2,1,5]=>[5,1,2,7,3,4,6]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[6,3,7,5,2,1,4]=>[4,1,2,5,7,3,6]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[5,4,3,7,2,1,6]=>[6,1,2,7,3,4,5]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[5,3,7,6,2,1,4]=>[4,1,2,6,7,3,5]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[4,3,7,6,2,1,5]=>[5,1,2,6,7,3,4]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[6,4,7,2,5,1,3]=>[3,1,5,2,7,4,6]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[5,4,7,2,6,1,3]=>[3,1,6,2,7,4,5]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[4,7,6,2,5,1,3]=>[3,1,5,2,6,7,4]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[5,7,3,2,6,1,4]=>[4,1,6,2,3,7,5]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[6,4,3,2,7,1,5]=>[5,1,7,2,3,4,6]
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[6,3,7,2,5,1,4]=>[4,1,5,2,7,3,6]
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6]
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6]
[[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[6,2,7,5,4,1,3]=>[3,1,4,5,7,2,6]
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[5,4,3,2,7,1,6]=>[6,1,7,2,3,4,5]
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[4,7,3,2,6,1,5]=>[5,1,6,2,3,7,4]
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[5,3,7,2,6,1,4]=>[4,1,6,2,7,3,5]
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[4,3,7,2,6,1,5]=>[5,1,6,2,7,3,4]
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[3,7,6,2,5,1,4]=>[4,1,5,2,6,7,3]
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[5,4,2,7,6,1,3]=>[3,1,6,7,2,4,5]
[[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[4,7,2,6,5,1,3]=>[3,1,5,6,2,7,4]
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[5,3,2,7,6,1,4]=>[4,1,6,7,2,3,5]
[[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5]
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[4,3,2,7,6,1,5]=>[5,1,6,7,2,3,4]
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[3,7,2,6,5,1,4]=>[4,1,5,6,2,7,3]
[[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[4,2,7,6,5,1,3]=>[3,1,5,6,7,2,4]
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[3,2,7,6,5,1,4]=>[4,1,5,6,7,2,3]
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[2,7,6,5,4,1,3]=>[3,1,4,5,6,7,2]
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[6,5,4,3,1,7,2]=>[2,7,1,3,4,5,6]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[5,7,4,3,1,6,2]=>[2,6,1,3,4,7,5]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[5,4,7,3,1,6,2]=>[2,6,1,3,7,4,5]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[4,7,6,3,1,5,2]=>[2,5,1,3,6,7,4]
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[6,5,3,7,1,4,2]=>[2,4,1,7,3,5,6]
[[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5]
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[6,4,3,7,1,5,2]=>[2,5,1,7,3,4,6]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[5,4,3,7,1,6,2]=>[2,6,1,7,3,4,5]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[5,3,7,6,1,4,2]=>[2,4,1,6,7,3,5]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4]
[[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3]
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6]
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5]
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[6,4,7,2,1,5,3]=>[3,5,1,2,7,4,6]
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[5,4,7,2,1,6,3]=>[3,6,1,2,7,4,5]
[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[4,7,6,2,1,5,3]=>[3,5,1,2,6,7,4]
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[6,5,4,1,7,3,2]=>[2,3,7,1,4,5,6]
[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5]
[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[6,4,7,1,5,3,2]=>[2,3,5,1,7,4,6]
[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[5,4,7,1,6,3,2]=>[2,3,6,1,7,4,5]
[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4]
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6]
[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5]
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[6,5,3,1,7,4,2]=>[2,4,7,1,3,5,6]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6]
[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[6,3,2,7,1,5,4]=>[4,5,1,7,2,3,6]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[6,2,7,5,1,4,3]=>[3,4,1,5,7,2,6]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[6,4,3,1,7,5,2]=>[2,5,7,1,3,4,6]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[6,2,7,1,5,4,3]=>[3,4,5,1,7,2,6]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[6,3,1,7,5,4,2]=>[2,4,5,7,1,3,6]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[6,2,1,7,5,4,3]=>[3,4,5,7,1,2,6]
[[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[6,1,7,5,4,3,2]=>[2,3,4,5,7,1,6]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4]
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[5,3,7,2,1,6,4]=>[4,6,1,2,7,3,5]
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4]
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3]
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[5,4,2,7,1,6,3]=>[3,6,1,7,2,4,5]
[[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4]
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[5,3,2,7,1,6,4]=>[4,6,1,7,2,3,5]
[[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5]
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[4,3,2,7,1,6,5]=>[5,6,1,7,2,3,4]
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[3,7,2,6,1,5,4]=>[4,5,1,6,2,7,3]
[[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4]
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[3,2,7,6,1,5,4]=>[4,5,1,6,7,2,3]
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[2,7,6,5,1,4,3]=>[3,4,1,5,6,7,2]
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[5,4,3,1,7,6,2]=>[2,6,7,1,3,4,5]
[[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[4,7,3,1,6,5,2]=>[2,5,6,1,3,7,4]
[[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5]
[[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[4,3,7,1,6,5,2]=>[2,5,6,1,7,3,4]
[[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[3,7,6,1,5,4,2]=>[2,4,5,1,6,7,3]
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5]
[[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[4,7,2,1,6,5,3]=>[3,5,6,1,2,7,4]
[[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[5,4,1,7,6,3,2]=>[2,3,6,7,1,4,5]
[[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[4,7,1,6,5,3,2]=>[2,3,5,6,1,7,4]
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5]
[[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[5,2,7,1,6,4,3]=>[3,4,6,1,7,2,5]
[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5]
[[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[5,2,1,7,6,4,3]=>[3,4,6,7,1,2,5]
[[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5]
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]
[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[3,7,2,1,6,5,4]=>[4,5,6,1,2,7,3]
[[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[4,2,7,1,6,5,3]=>[3,5,6,1,7,2,4]
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[3,2,7,1,6,5,4]=>[4,5,6,1,7,2,3]
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2]
[[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[4,3,1,7,6,5,2]=>[2,5,6,7,1,3,4]
[[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3]
[[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4]
[[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[4,1,7,6,5,3,2]=>[2,3,5,6,7,1,4]
[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]
[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2]
[[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3]
[[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]
[[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[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]=>[1,2,3,4,5,6,8,7]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[8,6,7,5,4,3,2,1]=>[8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[8,7,5,6,4,3,2,1]=>[8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[7,8,5,6,4,3,2,1]=>[7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[8,6,5,7,4,3,2,1]=>[8,6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6,8]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[8,5,6,7,4,3,2,1]=>[8,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,8]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[6,8,5,7,4,3,2,1]=>[1,2,3,4,7,5,8,6]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[7,5,6,8,4,3,2,1]=>[7,5,8,6,4,3,2,1]=>[1,2,3,4,6,8,5,7]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[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]=>[1,2,3,5,4,7,6,8]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[7,6,8,4,5,3,2,1]=>[7,6,8,4,5,3,2,1]=>[1,2,3,5,4,8,6,7]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[8,7,5,4,6,3,2,1]=>[8,7,5,4,6,3,2,1]=>[1,2,3,6,4,5,7,8]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[8,6,5,4,7,3,2,1]=>[8,6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6,8]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[8,5,6,4,7,3,2,1]=>[8,5,7,4,6,3,2,1]=>[1,2,3,6,4,7,5,8]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[8,6,4,5,7,3,2,1]=>[8,6,4,7,5,3,2,1]=>[1,2,3,5,7,4,6,8]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[6,8,5,4,7,3,2,1]=>[1,2,3,7,4,5,8,6]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[7,5,6,4,8,3,2,1]=>[7,5,8,4,6,3,2,1]=>[1,2,3,6,4,8,5,7]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[6,5,8,4,7,3,2,1]=>[1,2,3,7,4,8,5,6]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[5,8,7,4,6,3,2,1]=>[1,2,3,6,4,7,8,5]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[7,6,4,5,8,3,2,1]=>[7,6,4,8,5,3,2,1]=>[1,2,3,5,8,4,6,7]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[6,7,4,5,8,3,2,1]=>[6,8,4,7,5,3,2,1]=>[1,2,3,5,7,4,8,6]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[7,5,4,6,8,3,2,1]=>[7,5,4,8,6,3,2,1]=>[1,2,3,6,8,4,5,7]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[7,4,5,6,8,3,2,1]=>[7,4,8,6,5,3,2,1]=>[1,2,3,5,6,8,4,7]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[6,5,4,8,7,3,2,1]=>[1,2,3,7,8,4,5,6]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[5,8,4,7,6,3,2,1]=>[1,2,3,6,7,4,8,5]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[6,4,5,7,8,3,2,1]=>[6,4,8,7,5,3,2,1]=>[1,2,3,5,7,8,4,6]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[5,4,8,7,6,3,2,1]=>[1,2,3,6,7,8,4,5]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,3,4,2,1]=>[8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,3,4,2,1]=>[7,8,6,5,3,4,2,1]=>[1,2,4,3,5,6,8,7]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,3,4,2,1]=>[7,6,8,5,3,4,2,1]=>[1,2,4,3,5,8,6,7]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[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]=>[1,2,4,3,6,5,8,7]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[8,5,6,7,3,4,2,1]=>[8,5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5,8]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,3,4,2,1]=>[7,6,5,8,3,4,2,1]=>[1,2,4,3,8,5,6,7]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[6,7,5,8,3,4,2,1]=>[6,8,5,7,3,4,2,1]=>[1,2,4,3,7,5,8,6]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[5,8,7,6,3,4,2,1]=>[1,2,4,3,6,7,8,5]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[8,7,6,4,3,5,2,1]=>[8,7,6,4,3,5,2,1]=>[1,2,5,3,4,6,7,8]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[7,8,6,4,3,5,2,1]=>[7,8,6,4,3,5,2,1]=>[1,2,5,3,4,6,8,7]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[7,6,8,4,3,5,2,1]=>[7,6,8,4,3,5,2,1]=>[1,2,5,3,4,8,6,7]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[6,7,8,4,3,5,2,1]=>[6,8,7,4,3,5,2,1]=>[1,2,5,3,4,7,8,6]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[7,8,6,3,4,5,2,1]=>[7,8,6,3,5,4,2,1]=>[1,2,4,5,3,6,8,7]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[7,6,8,3,4,5,2,1]=>[7,6,8,3,5,4,2,1]=>[1,2,4,5,3,8,6,7]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[8,7,5,4,3,6,2,1]=>[8,7,5,4,3,6,2,1]=>[1,2,6,3,4,5,7,8]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[7,8,5,4,3,6,2,1]=>[7,8,5,4,3,6,2,1]=>[1,2,6,3,4,5,8,7]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[7,8,5,3,4,6,2,1]=>[7,8,5,3,6,4,2,1]=>[1,2,4,6,3,5,8,7]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[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]=>[1,2,4,5,6,3,7,8]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[7,5,6,4,3,8,2,1]=>[7,5,8,4,3,6,2,1]=>[1,2,6,3,4,8,5,7]
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[7,4,5,6,3,8,2,1]=>[7,4,8,6,3,5,2,1]=>[1,2,5,3,6,8,4,7]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[6,4,5,7,3,8,2,1]=>[6,4,8,7,3,5,2,1]=>[1,2,5,3,7,8,4,6]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[5,4,8,7,3,6,2,1]=>[1,2,6,3,7,8,4,5]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[4,8,7,6,3,5,2,1]=>[1,2,5,3,6,7,8,4]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[7,6,3,4,5,8,2,1]=>[7,6,3,8,5,4,2,1]=>[1,2,4,5,8,3,6,7]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[7,5,4,3,6,8,2,1]=>[7,5,4,3,8,6,2,1]=>[1,2,6,8,3,4,5,7]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[7,5,3,4,6,8,2,1]=>[7,5,3,8,6,4,2,1]=>[1,2,4,6,8,3,5,7]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[6,5,4,3,8,7,2,1]=>[1,2,7,8,3,4,5,6]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,2,3,1]=>[8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[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]=>[1,3,2,4,5,8,6,7]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[8,5,6,7,4,2,3,1]=>[8,5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5,8]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,2,3,1]=>[7,6,5,8,4,2,3,1]=>[1,3,2,4,8,5,6,7]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,2,3,1]=>[6,8,5,7,4,2,3,1]=>[1,3,2,4,7,5,8,6]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[5,8,7,6,4,2,3,1]=>[1,3,2,4,6,7,8,5]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,2,3,1]=>[8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[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]=>[1,3,2,5,4,8,6,7]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[6,7,8,4,5,2,3,1]=>[6,8,7,4,5,2,3,1]=>[1,3,2,5,4,7,8,6]
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[8,7,4,5,6,2,3,1]=>[8,7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7,8]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[8,6,5,4,7,2,3,1]=>[8,6,5,4,7,2,3,1]=>[1,3,2,7,4,5,6,8]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,2,3,1]=>[8,5,7,4,6,2,3,1]=>[1,3,2,6,4,7,5,8]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,2,3,1]=>[8,6,4,7,5,2,3,1]=>[1,3,2,5,7,4,6,8]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,2,3,1]=>[7,5,8,4,6,2,3,1]=>[1,3,2,6,4,8,5,7]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,2,3,1]=>[6,5,8,4,7,2,3,1]=>[1,3,2,7,4,8,5,6]
[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,2,3,1]=>[4,8,7,6,5,2,3,1]=>[1,3,2,5,6,7,8,4]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,2,4,1]=>[8,7,6,5,3,2,4,1]=>[1,4,2,3,5,6,7,8]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,2,4,1]=>[7,8,6,5,3,2,4,1]=>[1,4,2,3,5,6,8,7]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,3,2,4,1]=>[8,6,7,5,3,2,4,1]=>[1,4,2,3,5,7,6,8]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,2,4,1]=>[7,6,8,5,3,2,4,1]=>[1,4,2,3,5,8,6,7]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,2,4,1]=>[6,8,7,5,3,2,4,1]=>[1,4,2,3,5,7,8,6]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[8,6,5,7,3,2,4,1]=>[1,4,2,3,7,5,6,8]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[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]=>[1,4,2,3,8,5,6,7]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,2,4,1]=>[6,8,5,7,3,2,4,1]=>[1,4,2,3,7,5,8,6]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[5,8,7,6,3,2,4,1]=>[1,4,2,3,6,7,8,5]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,2,3,4,1]=>[8,7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7,8]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,2,3,4,1]=>[8,6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6,8]
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,2,3,4,1]=>[7,6,8,5,2,4,3,1]=>[1,3,4,2,5,8,6,7]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,2,3,4,1]=>[6,8,7,5,2,4,3,1]=>[1,3,4,2,5,7,8,6]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,2,3,4,1]=>[8,7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7,8]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,2,3,4,1]=>[7,8,5,6,2,4,3,1]=>[1,3,4,2,6,5,8,7]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,2,3,4,1]=>[7,6,5,8,2,4,3,1]=>[1,3,4,2,8,5,6,7]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,2,3,4,1]=>[6,8,5,7,2,4,3,1]=>[1,3,4,2,7,5,8,6]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,2,3,4,1]=>[6,5,8,7,2,4,3,1]=>[1,3,4,2,7,8,5,6]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[5,8,7,6,2,4,3,1]=>[1,3,4,2,6,7,8,5]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,2,5,1]=>[8,7,6,4,3,2,5,1]=>[1,5,2,3,4,6,7,8]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[7,8,6,4,3,2,5,1]=>[7,8,6,4,3,2,5,1]=>[1,5,2,3,4,6,8,7]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[8,6,7,4,3,2,5,1]=>[8,6,7,4,3,2,5,1]=>[1,5,2,3,4,7,6,8]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[7,6,8,4,3,2,5,1]=>[7,6,8,4,3,2,5,1]=>[1,5,2,3,4,8,6,7]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[6,7,8,4,3,2,5,1]=>[6,8,7,4,3,2,5,1]=>[1,5,2,3,4,7,8,6]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[8,7,6,3,4,2,5,1]=>[8,7,6,3,5,2,4,1]=>[1,4,2,5,3,6,7,8]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[8,6,7,3,4,2,5,1]=>[8,6,7,3,5,2,4,1]=>[1,4,2,5,3,7,6,8]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[7,6,8,3,4,2,5,1]=>[7,6,8,3,5,2,4,1]=>[1,4,2,5,3,8,6,7]
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[7,6,8,4,2,3,5,1]=>[7,6,8,4,2,5,3,1]=>[1,3,5,2,4,8,6,7]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[6,7,8,4,2,3,5,1]=>[6,8,7,4,2,5,3,1]=>[1,3,5,2,4,7,8,6]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[8,6,7,3,2,4,5,1]=>[8,6,7,3,2,5,4,1]=>[1,4,5,2,3,7,6,8]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[6,7,8,3,2,4,5,1]=>[6,8,7,3,2,5,4,1]=>[1,4,5,2,3,7,8,6]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[8,7,6,2,3,4,5,1]=>[8,7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7,8]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[7,8,6,2,3,4,5,1]=>[7,8,6,2,5,4,3,1]=>[1,3,4,5,2,6,8,7]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[8,6,7,2,3,4,5,1]=>[8,6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6,8]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[7,6,8,2,3,4,5,1]=>[7,6,8,2,5,4,3,1]=>[1,3,4,5,2,8,6,7]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[6,7,8,2,3,4,5,1]=>[6,8,7,2,5,4,3,1]=>[1,3,4,5,2,7,8,6]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[7,8,5,3,4,2,6,1]=>[7,8,5,3,6,2,4,1]=>[1,4,2,6,3,5,8,7]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[7,8,4,3,5,2,6,1]=>[7,8,4,3,6,2,5,1]=>[1,5,2,6,3,4,8,7]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[8,7,5,3,2,4,6,1]=>[8,7,5,3,2,6,4,1]=>[1,4,6,2,3,5,7,8]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[7,8,4,3,2,5,6,1]=>[7,8,4,3,2,6,5,1]=>[1,5,6,2,3,4,8,7]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[7,8,3,4,2,5,6,1]=>[7,8,3,6,2,5,4,1]=>[1,4,5,2,6,3,8,7]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[8,6,5,4,3,2,7,1]=>[8,6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6,8]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[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]=>[1,5,2,7,3,4,6,8]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[8,6,3,4,5,2,7,1]=>[8,6,3,7,5,2,4,1]=>[1,4,2,5,7,3,6,8]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[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]=>[1,3,6,2,4,7,5,8]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[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]=>[1,3,6,7,2,4,5,8]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>[7,4,5,6,3,2,8,1]=>[7,4,8,6,3,2,5,1]=>[1,5,2,3,6,8,4,7]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[6,4,5,7,3,2,8,1]=>[6,4,8,7,3,2,5,1]=>[1,5,2,3,7,8,4,6]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[4,8,7,6,3,2,5,1]=>[1,5,2,3,6,7,8,4]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[7,5,6,3,4,2,8,1]=>[7,5,8,3,6,2,4,1]=>[1,4,2,6,3,8,5,7]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[6,5,7,3,4,2,8,1]=>[6,5,8,3,7,2,4,1]=>[1,4,2,7,3,8,5,6]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[7,4,5,3,6,2,8,1]=>[7,4,8,3,6,2,5,1]=>[1,5,2,6,3,8,4,7]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[6,5,4,3,8,2,7,1]=>[1,7,2,8,3,4,5,6]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[6,4,5,3,7,2,8,1]=>[6,4,8,3,7,2,5,1]=>[1,5,2,7,3,8,4,6]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[5,4,8,3,7,2,6,1]=>[1,6,2,7,3,8,4,5]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[4,8,7,3,6,2,5,1]=>[1,5,2,6,3,7,8,4]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[6,5,3,4,7,2,8,1]=>[6,5,3,8,7,2,4,1]=>[1,4,2,7,8,3,5,6]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[5,6,3,4,7,2,8,1]=>[5,8,3,7,6,2,4,1]=>[1,4,2,6,7,3,8,5]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[5,4,3,8,7,2,6,1]=>[1,6,2,7,8,3,4,5]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>[6,7,5,4,2,3,8,1]=>[6,8,5,4,2,7,3,1]=>[1,3,7,2,4,5,8,6]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]=>[7,5,6,4,2,3,8,1]=>[7,5,8,4,2,6,3,1]=>[1,3,6,2,4,8,5,7]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,2,3,8,1]=>[6,5,8,4,2,7,3,1]=>[1,3,7,2,4,8,5,6]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,2,3,8,1]=>[5,8,7,4,2,6,3,1]=>[1,3,6,2,4,7,8,5]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,2,3,8,1]=>[6,8,4,7,2,5,3,1]=>[1,3,5,2,7,4,8,6]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,2,3,8,1]=>[7,4,8,6,2,5,3,1]=>[1,3,5,2,6,8,4,7]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,2,3,8,1]=>[6,5,4,8,2,7,3,1]=>[1,3,7,2,8,4,5,6]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,2,3,8,1]=>[5,8,4,7,2,6,3,1]=>[1,3,6,2,7,4,8,5]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,2,3,8,1]=>[6,4,8,7,2,5,3,1]=>[1,3,5,2,7,8,4,6]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,2,3,8,1]=>[5,4,8,7,2,6,3,1]=>[1,3,6,2,7,8,4,5]
[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[4,5,6,7,2,3,8,1]=>[4,8,7,6,2,5,3,1]=>[1,3,5,2,6,7,8,4]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[6,7,5,3,2,4,8,1]=>[6,8,5,3,2,7,4,1]=>[1,4,7,2,3,5,8,6]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[6,5,7,3,2,4,8,1]=>[6,5,8,3,2,7,4,1]=>[1,4,7,2,3,8,5,6]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[7,6,5,2,3,4,8,1]=>[7,6,5,2,8,4,3,1]=>[1,3,4,8,2,5,6,7]
[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[5,6,7,2,3,4,8,1]=>[5,8,7,2,6,4,3,1]=>[1,3,4,6,2,7,8,5]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[6,7,4,3,2,5,8,1]=>[6,8,4,3,2,7,5,1]=>[1,5,7,2,3,4,8,6]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[7,6,4,2,3,5,8,1]=>[7,6,4,2,8,5,3,1]=>[1,3,5,8,2,4,6,7]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[6,7,3,2,4,5,8,1]=>[6,8,3,2,7,5,4,1]=>[1,4,5,7,2,3,8,6]
[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[6,7,2,3,4,5,8,1]=>[6,8,2,7,5,4,3,1]=>[1,3,4,5,7,2,8,6]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[7,5,2,3,4,6,8,1]=>[7,5,2,8,6,4,3,1]=>[1,3,4,6,8,2,5,7]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[5,4,8,3,2,7,6,1]=>[1,6,7,2,3,8,4,5]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[5,4,3,8,2,7,6,1]=>[1,6,7,2,8,3,4,5]
[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[3,8,7,6,2,5,4,1]=>[1,4,5,2,6,7,8,3]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[6,5,4,2,3,7,8,1]=>[6,5,4,2,8,7,3,1]=>[1,3,7,8,2,4,5,6]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>[5,6,4,2,3,7,8,1]=>[5,8,4,2,7,6,3,1]=>[1,3,6,7,2,4,8,5]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>[6,4,5,2,3,7,8,1]=>[6,4,8,2,7,5,3,1]=>[1,3,5,7,2,8,4,6]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[5,4,6,2,3,7,8,1]=>[5,4,8,2,7,6,3,1]=>[1,3,6,7,2,8,4,5]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[6,5,2,3,4,7,8,1]=>[6,5,2,8,7,4,3,1]=>[1,3,4,7,8,2,5,6]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[4,3,8,2,7,6,5,1]=>[1,5,6,7,2,8,3,4]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[5,4,2,3,6,7,8,1]=>[5,4,2,8,7,6,3,1]=>[1,3,6,7,8,2,4,5]
[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[4,5,2,3,6,7,8,1]=>[4,8,2,7,6,5,3,1]=>[1,3,5,6,7,2,8,4]
[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[5,2,3,4,6,7,8,1]=>[5,2,8,7,6,4,3,1]=>[1,3,4,6,7,8,2,5]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[4,3,2,8,7,6,5,1]=>[1,5,6,7,8,2,3,4]
[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[3,8,2,7,6,5,4,1]=>[1,4,5,6,7,2,8,3]
[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[3,2,8,7,6,5,4,1]=>[1,4,5,6,7,8,2,3]
[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[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]=>[2,1,3,4,6,5,7,8]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[7,8,5,6,4,3,1,2]=>[7,8,5,6,4,3,1,2]=>[2,1,3,4,6,5,8,7]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,3,1,2]=>[7,6,5,8,4,3,1,2]=>[2,1,3,4,8,5,6,7]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,3,1,2]=>[7,5,8,6,4,3,1,2]=>[2,1,3,4,6,8,5,7]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[5,8,7,6,4,3,1,2]=>[2,1,3,4,6,7,8,5]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,3,1,2]=>[8,6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6,8]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,3,1,2]=>[8,7,5,4,6,3,1,2]=>[2,1,3,6,4,5,7,8]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,3,1,2]=>[7,8,4,6,5,3,1,2]=>[2,1,3,5,6,4,8,7]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,3,1,2]=>[8,5,7,4,6,3,1,2]=>[2,1,3,6,4,7,5,8]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,3,1,2]=>[6,5,8,4,7,3,1,2]=>[2,1,3,7,4,8,5,6]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,3,1,2]=>[7,6,4,8,5,3,1,2]=>[2,1,3,5,8,4,6,7]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,3,1,2]=>[6,8,4,7,5,3,1,2]=>[2,1,3,5,7,4,8,6]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[5,6,4,7,8,3,1,2]=>[5,8,4,7,6,3,1,2]=>[2,1,3,6,7,4,8,5]
[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,3,1,2]=>[4,8,7,6,5,3,1,2]=>[2,1,3,5,6,7,8,4]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,4,1,2]=>[8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,4,1,2]=>[7,8,6,5,3,4,1,2]=>[2,1,4,3,5,6,8,7]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,4,1,2]=>[8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[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]=>[2,1,4,3,6,7,5,8]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,4,1,2]=>[7,6,5,8,3,4,1,2]=>[2,1,4,3,8,5,6,7]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,4,1,2]=>[6,8,5,7,3,4,1,2]=>[2,1,4,3,7,5,8,6]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,4,1,2]=>[7,5,8,6,3,4,1,2]=>[2,1,4,3,6,8,5,7]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[6,5,8,7,3,4,1,2]=>[2,1,4,3,7,8,5,6]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[5,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,5]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[8,7,6,3,4,5,1,2]=>[8,7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7,8]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[7,8,6,3,4,5,1,2]=>[7,8,6,3,5,4,1,2]=>[2,1,4,5,3,6,8,7]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[7,8,5,4,3,6,1,2]=>[7,8,5,4,3,6,1,2]=>[2,1,6,3,4,5,8,7]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[8,7,4,5,3,6,1,2]=>[8,7,4,6,3,5,1,2]=>[2,1,5,3,6,4,7,8]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[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]=>[2,1,5,6,3,4,7,8]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[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]=>[2,1,4,5,6,3,8,7]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>[8,5,4,6,3,7,1,2]=>[8,5,4,7,3,6,1,2]=>[2,1,6,3,7,4,5,8]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[8,5,4,3,6,7,1,2]=>[8,5,4,3,7,6,1,2]=>[2,1,6,7,3,4,5,8]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,3,8,1,2]=>[7,6,5,4,3,8,1,2]=>[2,1,8,3,4,5,6,7]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,3,8,1,2]=>[5,8,7,4,3,6,1,2]=>[2,1,6,3,4,7,8,5]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,3,8,1,2]=>[6,8,4,7,3,5,1,2]=>[2,1,5,3,7,4,8,6]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[7,5,4,6,3,8,1,2]=>[7,5,4,8,3,6,1,2]=>[2,1,6,3,8,4,5,7]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,3,8,1,2]=>[6,5,4,8,3,7,1,2]=>[2,1,7,3,8,4,5,6]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,3,8,1,2]=>[5,8,4,7,3,6,1,2]=>[2,1,6,3,7,4,8,5]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,3,8,1,2]=>[5,4,8,7,3,6,1,2]=>[2,1,6,3,7,8,4,5]
[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[4,5,6,7,3,8,1,2]=>[4,8,7,6,3,5,1,2]=>[2,1,5,3,6,7,8,4]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[7,5,6,3,4,8,1,2]=>[7,5,8,3,6,4,1,2]=>[2,1,4,6,3,8,5,7]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[7,6,3,4,5,8,1,2]=>[7,6,3,8,5,4,1,2]=>[2,1,4,5,8,3,6,7]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[7,5,4,3,6,8,1,2]=>[7,5,4,3,8,6,1,2]=>[2,1,6,8,3,4,5,7]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>[7,4,5,3,6,8,1,2]=>[7,4,8,3,6,5,1,2]=>[2,1,5,6,3,8,4,7]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[7,5,3,4,6,8,1,2]=>[7,5,3,8,6,4,1,2]=>[2,1,4,6,8,3,5,7]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[6,5,4,3,7,8,1,2]=>[6,5,4,3,8,7,1,2]=>[2,1,7,8,3,4,5,6]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[5,4,6,3,7,8,1,2]=>[5,4,8,3,7,6,1,2]=>[2,1,6,7,3,8,4,5]
[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[4,5,6,3,7,8,1,2]=>[4,8,7,3,6,5,1,2]=>[2,1,5,6,3,7,8,4]
[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[5,6,3,4,7,8,1,2]=>[5,8,3,7,6,4,1,2]=>[2,1,4,6,7,3,8,5]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[6,4,3,5,7,8,1,2]=>[6,4,3,8,7,5,1,2]=>[2,1,5,7,8,3,4,6]
[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[6,3,4,5,7,8,1,2]=>[6,3,8,7,5,4,1,2]=>[2,1,4,5,7,8,3,6]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[5,4,3,8,7,6,1,2]=>[2,1,6,7,8,3,4,5]
[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[4,5,3,6,7,8,1,2]=>[4,8,3,7,6,5,1,2]=>[2,1,5,6,7,3,8,4]
[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[5,3,4,6,7,8,1,2]=>[5,3,8,7,6,4,1,2]=>[2,1,4,6,7,8,3,5]
[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[4,3,5,6,7,8,1,2]=>[4,3,8,7,6,5,1,2]=>[2,1,5,6,7,8,3,4]
[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[7,6,8,5,4,2,1,3]=>[3,1,2,4,5,8,6,7]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,2,1,3]=>[8,7,5,6,4,2,1,3]=>[3,1,2,4,6,5,7,8]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,2,1,3]=>[7,8,5,6,4,2,1,3]=>[3,1,2,4,6,5,8,7]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,2,1,3]=>[7,6,5,8,4,2,1,3]=>[3,1,2,4,8,5,6,7]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,2,1,3]=>[6,8,5,7,4,2,1,3]=>[3,1,2,4,7,5,8,6]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,2,1,3]=>[7,5,8,6,4,2,1,3]=>[3,1,2,4,6,8,5,7]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,2,1,3]=>[6,5,8,7,4,2,1,3]=>[3,1,2,4,7,8,5,6]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[5,8,7,6,4,2,1,3]=>[3,1,2,4,6,7,8,5]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[7,6,8,4,5,2,1,3]=>[7,6,8,4,5,2,1,3]=>[3,1,2,5,4,8,6,7]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,2,1,3]=>[8,7,4,6,5,2,1,3]=>[3,1,2,5,6,4,7,8]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,2,1,3]=>[6,8,5,4,7,2,1,3]=>[3,1,2,7,4,5,8,6]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,2,1,3]=>[7,5,8,4,6,2,1,3]=>[3,1,2,6,4,8,5,7]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,2,1,3]=>[7,6,4,8,5,2,1,3]=>[3,1,2,5,8,4,6,7]
[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,2,1,3]=>[4,8,7,6,5,2,1,3]=>[3,1,2,5,6,7,8,4]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,1,2,3]=>[8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,1,2,3]=>[7,8,5,6,4,1,3,2]=>[2,3,1,4,6,5,8,7]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,1,2,3]=>[8,5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5,8]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,1,2,3]=>[7,6,5,8,4,1,3,2]=>[2,3,1,4,8,5,6,7]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,1,2,3]=>[6,8,5,7,4,1,3,2]=>[2,3,1,4,7,5,8,6]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,1,2,3]=>[7,5,8,6,4,1,3,2]=>[2,3,1,4,6,8,5,7]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,1,2,3]=>[6,5,8,7,4,1,3,2]=>[2,3,1,4,7,8,5,6]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[5,8,7,6,4,1,3,2]=>[2,3,1,4,6,7,8,5]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,1,2,3]=>[8,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,8]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,1,2,3]=>[8,7,5,4,6,1,3,2]=>[2,3,1,6,4,5,7,8]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,1,2,3]=>[8,6,5,4,7,1,3,2]=>[2,3,1,7,4,5,6,8]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[8,5,6,4,7,1,2,3]=>[8,5,7,4,6,1,3,2]=>[2,3,1,6,4,7,5,8]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,1,2,3]=>[8,6,4,7,5,1,3,2]=>[2,3,1,5,7,4,6,8]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,1,2,3]=>[7,6,5,4,8,1,3,2]=>[2,3,1,8,4,5,6,7]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,1,2,3]=>[6,8,5,4,7,1,3,2]=>[2,3,1,7,4,5,8,6]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,1,2,3]=>[7,5,8,4,6,1,3,2]=>[2,3,1,6,4,8,5,7]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,1,2,3]=>[6,5,8,4,7,1,3,2]=>[2,3,1,7,4,8,5,6]
[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,1,2,3]=>[5,8,7,4,6,1,3,2]=>[2,3,1,6,4,7,8,5]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,1,2,3]=>[7,6,4,8,5,1,3,2]=>[2,3,1,5,8,4,6,7]
[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,1,2,3]=>[6,8,4,7,5,1,3,2]=>[2,3,1,5,7,4,8,6]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,1,2,3]=>[7,5,4,8,6,1,3,2]=>[2,3,1,6,8,4,5,7]
[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,1,2,3]=>[7,4,8,6,5,1,3,2]=>[2,3,1,5,6,8,4,7]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[6,5,4,8,7,1,3,2]=>[2,3,1,7,8,4,5,6]
[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,1,2,3]=>[5,8,4,7,6,1,3,2]=>[2,3,1,6,7,4,8,5]
[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[6,4,5,7,8,1,2,3]=>[6,4,8,7,5,1,3,2]=>[2,3,1,5,7,8,4,6]
[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,1,2,3]=>[5,4,8,7,6,1,3,2]=>[2,3,1,6,7,8,4,5]
[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[4,8,7,6,5,1,3,2]=>[2,3,1,5,6,7,8,4]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,2,1,4]=>[8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,2,1,4]=>[7,8,6,5,3,2,1,4]=>[4,1,2,3,5,6,8,7]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,2,1,4]=>[8,6,7,5,3,2,1,4]=>[4,1,2,3,5,7,6,8]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,2,1,4]=>[7,6,8,5,3,2,1,4]=>[4,1,2,3,5,8,6,7]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,2,1,4]=>[6,8,7,5,3,2,1,4]=>[4,1,2,3,5,7,8,6]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,2,1,4]=>[8,7,5,6,3,2,1,4]=>[4,1,2,3,6,5,7,8]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,2,1,4]=>[7,8,5,6,3,2,1,4]=>[4,1,2,3,6,5,8,7]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,2,1,4]=>[8,6,5,7,3,2,1,4]=>[4,1,2,3,7,5,6,8]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,2,1,4]=>[8,5,7,6,3,2,1,4]=>[4,1,2,3,6,7,5,8]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[7,6,5,8,3,2,1,4]=>[4,1,2,3,8,5,6,7]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,2,1,4]=>[6,8,5,7,3,2,1,4]=>[4,1,2,3,7,5,8,6]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,2,1,4]=>[7,5,8,6,3,2,1,4]=>[4,1,2,3,6,8,5,7]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,2,1,4]=>[6,5,8,7,3,2,1,4]=>[4,1,2,3,7,8,5,6]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[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]=>[3,1,4,2,5,6,7,8]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,3,1,4]=>[7,8,6,5,2,4,1,3]=>[3,1,4,2,5,6,8,7]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,3,1,4]=>[8,6,7,5,2,4,1,3]=>[3,1,4,2,5,7,6,8]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,3,1,4]=>[7,6,8,5,2,4,1,3]=>[3,1,4,2,5,8,6,7]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,3,1,4]=>[6,8,7,5,2,4,1,3]=>[3,1,4,2,5,7,8,6]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,3,1,4]=>[8,7,5,6,2,4,1,3]=>[3,1,4,2,6,5,7,8]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,3,1,4]=>[7,8,5,6,2,4,1,3]=>[3,1,4,2,6,5,8,7]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,3,1,4]=>[8,6,5,7,2,4,1,3]=>[3,1,4,2,7,5,6,8]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,3,1,4]=>[8,5,7,6,2,4,1,3]=>[3,1,4,2,6,7,5,8]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,3,1,4]=>[7,6,5,8,2,4,1,3]=>[3,1,4,2,8,5,6,7]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[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]=>[3,1,4,2,6,8,5,7]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,3,1,4]=>[6,5,8,7,2,4,1,3]=>[3,1,4,2,7,8,5,6]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[5,8,7,6,2,4,1,3]=>[3,1,4,2,6,7,8,5]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,1,2,4]=>[8,7,6,5,3,1,4,2]=>[2,4,1,3,5,6,7,8]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,1,2,4]=>[7,8,6,5,3,1,4,2]=>[2,4,1,3,5,6,8,7]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,1,2,4]=>[7,8,5,6,3,1,4,2]=>[2,4,1,3,6,5,8,7]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,1,2,4]=>[7,6,5,8,3,1,4,2]=>[2,4,1,3,8,5,6,7]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[6,8,5,7,3,1,4,2]=>[2,4,1,3,7,5,8,6]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[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]=>[2,4,1,3,7,8,5,6]
[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[5,8,7,6,3,1,4,2]=>[2,4,1,3,6,7,8,5]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,1,3,4]=>[8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,1,3,4]=>[7,6,8,5,2,1,4,3]=>[3,4,1,2,5,8,6,7]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,1,3,4]=>[6,8,7,5,2,1,4,3]=>[3,4,1,2,5,7,8,6]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[7,8,5,6,2,1,4,3]=>[3,4,1,2,6,5,8,7]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,1,3,4]=>[8,6,5,7,2,1,4,3]=>[3,4,1,2,7,5,6,8]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,1,3,4]=>[8,5,7,6,2,1,4,3]=>[3,4,1,2,6,7,5,8]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,1,3,4]=>[7,6,5,8,2,1,4,3]=>[3,4,1,2,8,5,6,7]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,1,3,4]=>[6,8,5,7,2,1,4,3]=>[3,4,1,2,7,5,8,6]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,1,3,4]=>[7,5,8,6,2,1,4,3]=>[3,4,1,2,6,8,5,7]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[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]=>[3,4,1,2,6,7,8,5]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[7,8,6,5,1,4,3,2]=>[2,3,4,1,5,6,8,7]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[8,6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6,8]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[7,6,8,5,1,4,3,2]=>[2,3,4,1,5,8,6,7]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[6,8,7,5,1,4,3,2]=>[2,3,4,1,5,7,8,6]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[8,7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7,8]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[8,6,5,7,1,4,3,2]=>[2,3,4,1,7,5,6,8]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[8,5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5,8]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[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]=>[2,3,4,1,7,5,8,6]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[7,5,8,6,1,4,3,2]=>[2,3,4,1,6,8,5,7]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[6,5,8,7,1,4,3,2]=>[2,3,4,1,7,8,5,6]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[7,8,6,4,3,2,1,5]=>[7,8,6,4,3,2,1,5]=>[5,1,2,3,4,6,8,7]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[8,6,7,4,3,2,1,5]=>[8,6,7,4,3,2,1,5]=>[5,1,2,3,4,7,6,8]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[7,6,8,4,3,2,1,5]=>[7,6,8,4,3,2,1,5]=>[5,1,2,3,4,8,6,7]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[6,7,8,4,3,2,1,5]=>[6,8,7,4,3,2,1,5]=>[5,1,2,3,4,7,8,6]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[8,7,6,3,4,2,1,5]=>[8,7,6,3,5,2,1,4]=>[4,1,2,5,3,6,7,8]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[7,8,6,3,4,2,1,5]=>[7,8,6,3,5,2,1,4]=>[4,1,2,5,3,6,8,7]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[6,7,8,3,4,2,1,5]=>[6,8,7,3,5,2,1,4]=>[4,1,2,5,3,7,8,6]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,2,3,1,5]=>[8,7,6,4,2,5,1,3]=>[3,1,5,2,4,6,7,8]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,2,3,1,5]=>[7,6,8,4,2,5,1,3]=>[3,1,5,2,4,8,6,7]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,2,3,1,5]=>[6,8,7,4,2,5,1,3]=>[3,1,5,2,4,7,8,6]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[8,7,6,3,2,4,1,5]=>[8,7,6,3,2,5,1,4]=>[4,1,5,2,3,6,7,8]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[8,6,7,3,2,4,1,5]=>[8,6,7,3,2,5,1,4]=>[4,1,5,2,3,7,6,8]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[6,7,8,3,2,4,1,5]=>[6,8,7,3,2,5,1,4]=>[4,1,5,2,3,7,8,6]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[8,7,6,2,3,4,1,5]=>[8,7,6,2,5,4,1,3]=>[3,1,4,5,2,6,7,8]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[6,8,7,2,5,4,1,3]=>[3,1,4,5,2,7,8,6]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,1,2,5]=>[8,7,6,4,3,1,5,2]=>[2,5,1,3,4,6,7,8]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,3,1,2,5]=>[6,8,7,4,3,1,5,2]=>[2,5,1,3,4,7,8,6]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[8,7,6,3,4,1,2,5]=>[8,7,6,3,5,1,4,2]=>[2,4,1,5,3,6,7,8]
[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[6,7,8,3,4,1,2,5]=>[6,8,7,3,5,1,4,2]=>[2,4,1,5,3,7,8,6]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[8,7,6,4,2,1,5,3]=>[3,5,1,2,4,6,7,8]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,2,1,3,5]=>[7,8,6,4,2,1,5,3]=>[3,5,1,2,4,6,8,7]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,2,1,3,5]=>[8,6,7,4,2,1,5,3]=>[3,5,1,2,4,7,6,8]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,2,1,3,5]=>[6,8,7,4,2,1,5,3]=>[3,5,1,2,4,7,8,6]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,1,2,3,5]=>[8,7,6,4,1,5,3,2]=>[2,3,5,1,4,6,7,8]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,1,2,3,5]=>[7,8,6,4,1,5,3,2]=>[2,3,5,1,4,6,8,7]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,1,2,3,5]=>[7,6,8,4,1,5,3,2]=>[2,3,5,1,4,8,6,7]
[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[6,8,7,4,1,5,3,2]=>[2,3,5,1,4,7,8,6]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[8,7,6,3,2,1,4,5]=>[8,7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7,8]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[7,6,8,3,2,1,4,5]=>[7,6,8,3,2,1,5,4]=>[4,5,1,2,3,8,6,7]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[6,7,8,3,2,1,4,5]=>[6,8,7,3,2,1,5,4]=>[4,5,1,2,3,7,8,6]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[8,7,6,2,3,1,4,5]=>[8,7,6,2,5,1,4,3]=>[3,4,1,5,2,6,7,8]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[7,6,8,2,3,1,4,5]=>[7,6,8,2,5,1,4,3]=>[3,4,1,5,2,8,6,7]
[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[6,7,8,2,3,1,4,5]=>[6,8,7,2,5,1,4,3]=>[3,4,1,5,2,7,8,6]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[8,7,6,3,1,2,4,5]=>[8,7,6,3,1,5,4,2]=>[2,4,5,1,3,6,7,8]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[7,8,6,3,1,2,4,5]=>[7,8,6,3,1,5,4,2]=>[2,4,5,1,3,6,8,7]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[6,7,8,3,1,2,4,5]=>[6,8,7,3,1,5,4,2]=>[2,4,5,1,3,7,8,6]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[8,7,6,2,1,3,4,5]=>[8,7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7,8]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[7,8,6,2,1,3,4,5]=>[7,8,6,2,1,5,4,3]=>[3,4,5,1,2,6,8,7]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[6,8,7,2,1,5,4,3]=>[3,4,5,1,2,7,8,6]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[7,8,6,1,5,4,3,2]=>[2,3,4,5,1,6,8,7]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[8,6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6,8]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[7,6,8,1,5,4,3,2]=>[2,3,4,5,1,8,6,7]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[6,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,6]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[8,7,5,4,3,2,1,6]=>[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[7,8,5,4,3,2,1,6]=>[7,8,5,4,3,2,1,6]=>[6,1,2,3,4,5,8,7]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[8,7,5,3,4,2,1,6]=>[8,7,5,3,6,2,1,4]=>[4,1,2,6,3,5,7,8]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[8,7,3,4,5,2,1,6]=>[8,7,3,6,5,2,1,4]=>[4,1,2,5,6,3,7,8]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[7,8,3,4,5,2,1,6]=>[7,8,3,6,5,2,1,4]=>[4,1,2,5,6,3,8,7]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[8,7,4,5,2,3,1,6]=>[8,7,4,6,2,5,1,3]=>[3,1,5,2,6,4,7,8]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,2,3,1,6]=>[7,8,4,6,2,5,1,3]=>[3,1,5,2,6,4,8,7]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[8,7,5,3,2,4,1,6]=>[8,7,5,3,2,6,1,4]=>[4,1,6,2,3,5,7,8]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[8,7,4,3,2,5,1,6]=>[8,7,4,3,2,6,1,5]=>[5,1,6,2,3,4,7,8]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[7,8,4,3,2,5,1,6]=>[7,8,4,3,2,6,1,5]=>[5,1,6,2,3,4,8,7]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[8,7,3,4,2,5,1,6]=>[8,7,3,6,2,5,1,4]=>[4,1,5,2,6,3,7,8]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[7,8,3,4,2,5,1,6]=>[7,8,3,6,2,5,1,4]=>[4,1,5,2,6,3,8,7]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,3,1,2,6]=>[8,7,5,4,3,1,6,2]=>[2,6,1,3,4,5,7,8]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[7,8,5,4,3,1,2,6]=>[7,8,5,4,3,1,6,2]=>[2,6,1,3,4,5,8,7]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[8,7,5,3,4,1,2,6]=>[8,7,5,3,6,1,4,2]=>[2,4,1,6,3,5,7,8]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[7,8,5,3,4,1,2,6]=>[7,8,5,3,6,1,4,2]=>[2,4,1,6,3,5,8,7]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>[7,8,5,4,2,1,6,3]=>[3,6,1,2,4,5,8,7]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,1,2,3,6]=>[7,8,5,4,1,6,3,2]=>[2,3,6,1,4,5,8,7]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[8,7,4,5,1,2,3,6]=>[8,7,4,6,1,5,3,2]=>[2,3,5,1,6,4,7,8]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[8,7,5,3,2,1,4,6]=>[8,7,5,3,2,1,6,4]=>[4,6,1,2,3,5,7,8]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[7,8,5,3,2,1,4,6]=>[7,8,5,3,2,1,6,4]=>[4,6,1,2,3,5,8,7]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[8,7,5,2,3,1,4,6]=>[8,7,5,2,6,1,4,3]=>[3,4,1,6,2,5,7,8]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[8,7,5,3,1,2,4,6]=>[8,7,5,3,1,6,4,2]=>[2,4,6,1,3,5,7,8]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[7,8,5,3,1,2,4,6]=>[7,8,5,3,1,6,4,2]=>[2,4,6,1,3,5,8,7]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[8,7,5,2,1,6,4,3]=>[3,4,6,1,2,5,7,8]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[7,8,5,2,1,6,4,3]=>[3,4,6,1,2,5,8,7]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[8,7,5,1,6,4,3,2]=>[2,3,4,6,1,5,7,8]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[7,8,5,1,6,4,3,2]=>[2,3,4,6,1,5,8,7]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[8,7,4,3,2,1,5,6]=>[8,7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7,8]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[7,8,4,3,2,1,5,6]=>[7,8,4,3,2,1,6,5]=>[5,6,1,2,3,4,8,7]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[8,7,3,4,2,1,5,6]=>[8,7,3,6,2,1,5,4]=>[4,5,1,2,6,3,7,8]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[7,8,3,4,2,1,5,6]=>[7,8,3,6,2,1,5,4]=>[4,5,1,2,6,3,8,7]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[7,8,4,2,3,1,5,6]=>[7,8,4,2,6,1,5,3]=>[3,5,1,6,2,4,8,7]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[8,7,3,2,4,1,5,6]=>[8,7,3,2,6,1,5,4]=>[4,5,1,6,2,3,7,8]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[7,8,3,2,4,1,5,6]=>[7,8,3,2,6,1,5,4]=>[4,5,1,6,2,3,8,7]
[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[7,8,2,3,4,1,5,6]=>[7,8,2,6,5,1,4,3]=>[3,4,1,5,6,2,8,7]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[7,8,4,3,1,2,5,6]=>[7,8,4,3,1,6,5,2]=>[2,5,6,1,3,4,8,7]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[8,7,3,4,1,2,5,6]=>[8,7,3,6,1,5,4,2]=>[2,4,5,1,6,3,7,8]
[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[7,8,3,4,1,2,5,6]=>[7,8,3,6,1,5,4,2]=>[2,4,5,1,6,3,8,7]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[7,8,4,2,1,3,5,6]=>[7,8,4,2,1,6,5,3]=>[3,5,6,1,2,4,8,7]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[7,8,4,1,2,3,5,6]=>[7,8,4,1,6,5,3,2]=>[2,3,5,6,1,4,8,7]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[8,7,3,2,1,4,5,6]=>[8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[7,8,3,2,1,6,5,4]=>[4,5,6,1,2,3,8,7]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[7,8,2,3,1,4,5,6]=>[7,8,2,6,1,5,4,3]=>[3,4,5,1,6,2,8,7]
[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[7,8,3,1,2,4,5,6]=>[7,8,3,1,6,5,4,2]=>[2,4,5,6,1,3,8,7]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[8,7,2,1,3,4,5,6]=>[8,7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7,8]
[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[7,8,2,1,3,4,5,6]=>[7,8,2,1,6,5,4,3]=>[3,4,5,6,1,2,8,7]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[8,6,5,4,3,2,1,7]=>[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[8,5,6,4,3,2,1,7]=>[8,5,7,4,3,2,1,6]=>[6,1,2,3,4,7,5,8]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[8,4,7,6,3,2,1,5]=>[5,1,2,3,6,7,4,8]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[8,6,5,3,4,2,1,7]=>[8,6,5,3,7,2,1,4]=>[4,1,2,7,3,5,6,8]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[8,5,6,3,4,2,1,7]=>[8,5,7,3,6,2,1,4]=>[4,1,2,6,3,7,5,8]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[8,4,5,3,6,2,1,7]=>[8,4,7,3,6,2,1,5]=>[5,1,2,6,3,7,4,8]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[8,3,4,5,6,2,1,7]=>[8,3,7,6,5,2,1,4]=>[4,1,2,5,6,7,3,8]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,2,3,1,7]=>[8,6,5,4,2,7,1,3]=>[3,1,7,2,4,5,6,8]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[8,5,6,4,2,3,1,7]=>[8,5,7,4,2,6,1,3]=>[3,1,6,2,4,7,5,8]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[8,6,5,3,2,4,1,7]=>[8,6,5,3,2,7,1,4]=>[4,1,7,2,3,5,6,8]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[8,6,5,2,3,4,1,7]=>[8,6,5,2,7,4,1,3]=>[3,1,4,7,2,5,6,8]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[8,5,6,2,3,4,1,7]=>[8,5,7,2,6,4,1,3]=>[3,1,4,6,2,7,5,8]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[8,6,4,2,3,5,1,7]=>[8,6,4,2,7,5,1,3]=>[3,1,5,7,2,4,6,8]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[8,6,3,2,4,5,1,7]=>[8,6,3,2,7,5,1,4]=>[4,1,5,7,2,3,6,8]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>[8,5,2,3,4,6,1,7]=>[8,5,2,7,6,4,1,3]=>[3,1,4,6,7,2,5,8]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,3,1,2,7]=>[8,6,4,7,3,1,5,2]=>[2,5,1,3,7,4,6,8]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[8,5,7,3,6,1,4,2]=>[2,4,1,6,3,7,5,8]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[8,6,3,4,5,1,2,7]=>[8,6,3,7,5,1,4,2]=>[2,4,1,5,7,3,6,8]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[8,4,5,3,6,1,2,7]=>[8,4,7,3,6,1,5,2]=>[2,5,1,6,3,7,4,8]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[8,4,3,5,6,1,2,7]=>[8,4,3,7,6,1,5,2]=>[2,5,1,6,7,3,4,8]
[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[8,3,4,5,6,1,2,7]=>[8,3,7,6,5,1,4,2]=>[2,4,1,5,6,7,3,8]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,2,1,3,7]=>[8,6,5,4,2,1,7,3]=>[3,7,1,2,4,5,6,8]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,2,1,3,7]=>[8,5,7,4,2,1,6,3]=>[3,6,1,2,4,7,5,8]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,1,2,3,7]=>[8,5,7,4,1,6,3,2]=>[2,3,6,1,4,7,5,8]
[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[8,4,5,6,1,2,3,7]=>[8,4,7,6,1,5,3,2]=>[2,3,5,1,6,7,4,8]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[8,6,5,3,2,1,4,7]=>[8,6,5,3,2,1,7,4]=>[4,7,1,2,3,5,6,8]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[8,5,6,3,2,1,4,7]=>[8,5,7,3,2,1,6,4]=>[4,6,1,2,3,7,5,8]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[8,6,5,2,3,1,4,7]=>[8,6,5,2,7,1,4,3]=>[3,4,1,7,2,5,6,8]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[8,5,7,2,6,1,4,3]=>[3,4,1,6,2,7,5,8]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[8,5,6,3,1,2,4,7]=>[8,5,7,3,1,6,4,2]=>[2,4,6,1,3,7,5,8]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[8,6,5,2,1,3,4,7]=>[8,6,5,2,1,7,4,3]=>[3,4,7,1,2,5,6,8]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[8,5,6,2,1,3,4,7]=>[8,5,7,2,1,6,4,3]=>[3,4,6,1,2,7,5,8]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[8,6,5,1,2,3,4,7]=>[8,6,5,1,7,4,3,2]=>[2,3,4,7,1,5,6,8]
[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[8,5,6,1,2,3,4,7]=>[8,5,7,1,6,4,3,2]=>[2,3,4,6,1,7,5,8]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>[8,6,4,3,2,1,7,5]=>[5,7,1,2,3,4,6,8]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[8,6,3,7,2,1,5,4]=>[4,5,1,2,7,3,6,8]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[8,6,4,2,3,1,5,7]=>[8,6,4,2,7,1,5,3]=>[3,5,1,7,2,4,6,8]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[8,6,3,4,1,2,5,7]=>[8,6,3,7,1,5,4,2]=>[2,4,5,1,7,3,6,8]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[8,6,4,2,1,7,5,3]=>[3,5,7,1,2,4,6,8]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[8,6,4,1,2,3,5,7]=>[8,6,4,1,7,5,3,2]=>[2,3,5,7,1,4,6,8]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[8,6,3,2,1,4,5,7]=>[8,6,3,2,1,7,5,4]=>[4,5,7,1,2,3,6,8]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[8,4,5,3,2,1,6,7]=>[8,4,7,3,2,1,6,5]=>[5,6,1,2,3,7,4,8]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[8,4,3,5,2,1,6,7]=>[8,4,3,7,2,1,6,5]=>[5,6,1,2,7,3,4,8]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[8,3,4,5,2,1,6,7]=>[8,3,7,6,2,1,5,4]=>[4,5,1,2,6,7,3,8]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[8,4,5,2,3,1,6,7]=>[8,4,7,2,6,1,5,3]=>[3,5,1,6,2,7,4,8]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[8,5,2,3,4,1,6,7]=>[8,5,2,7,6,1,4,3]=>[3,4,1,6,7,2,5,8]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>[8,4,2,3,5,1,6,7]=>[8,4,2,7,6,1,5,3]=>[3,5,1,6,7,2,4,8]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[8,5,3,4,1,2,6,7]=>[8,5,3,7,1,6,4,2]=>[2,4,6,1,7,3,5,8]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[8,5,4,2,1,3,6,7]=>[8,5,4,2,1,7,6,3]=>[3,6,7,1,2,4,5,8]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[8,5,3,2,1,4,6,7]=>[8,5,3,2,1,7,6,4]=>[4,6,7,1,2,3,5,8]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[8,5,3,1,2,4,6,7]=>[8,5,3,1,7,6,4,2]=>[2,4,6,7,1,3,5,8]
[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[8,5,1,2,3,4,6,7]=>[8,5,1,7,6,4,3,2]=>[2,3,4,6,7,1,5,8]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[8,4,3,2,1,5,6,7]=>[8,4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4,8]
[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>[8,2,7,6,1,5,4,3]=>[3,4,5,1,6,7,2,8]
[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[8,3,4,1,2,5,6,7]=>[8,3,7,1,6,5,4,2]=>[2,4,5,6,1,7,3,8]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[8,4,2,1,3,5,6,7]=>[8,4,2,1,7,6,5,3]=>[3,5,6,7,1,2,4,8]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>[8,3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3,8]
[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[8,2,3,1,4,5,6,7]=>[8,2,7,1,6,5,4,3]=>[3,4,5,6,1,7,2,8]
[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>[8,3,1,7,6,5,4,2]=>[2,4,5,6,7,1,3,8]
[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[6,8,5,4,3,2,1,7]=>[7,1,2,3,4,5,8,6]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[7,5,6,4,3,2,1,8]=>[7,5,8,4,3,2,1,6]=>[6,1,2,3,4,8,5,7]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[6,5,8,4,3,2,1,7]=>[7,1,2,3,4,8,5,6]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[5,8,7,4,3,2,1,6]=>[6,1,2,3,4,7,8,5]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>[7,6,4,8,3,2,1,5]=>[5,1,2,3,8,4,6,7]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[7,4,5,6,3,2,1,8]=>[7,4,8,6,3,2,1,5]=>[5,1,2,3,6,8,4,7]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[6,5,4,8,3,2,1,7]=>[7,1,2,3,8,4,5,6]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[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]=>[4,1,2,8,3,5,6,7]
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>[6,7,5,3,4,2,1,8]=>[6,8,5,3,7,2,1,4]=>[4,1,2,7,3,5,8,6]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[7,5,6,3,4,2,1,8]=>[7,5,8,3,6,2,1,4]=>[4,1,2,6,3,8,5,7]
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]=>[6,5,7,3,4,2,1,8]=>[6,5,8,3,7,2,1,4]=>[4,1,2,7,3,8,5,6]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[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]=>[4,1,2,5,8,3,6,7]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[7,4,5,3,6,2,1,8]=>[7,4,8,3,6,2,1,5]=>[5,1,2,6,3,8,4,7]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>[7,3,4,5,6,2,1,8]=>[7,3,8,6,5,2,1,4]=>[4,1,2,5,6,8,3,7]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[6,5,4,3,8,2,1,7]=>[7,1,2,8,3,4,5,6]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[5,4,8,3,7,2,1,6]=>[6,1,2,7,3,8,4,5]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[5,4,3,8,7,2,1,6]=>[6,1,2,7,8,3,4,5]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,2,3,1,8]=>[7,5,8,4,2,6,1,3]=>[3,1,6,2,4,8,5,7]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,2,3,1,8]=>[5,8,7,4,2,6,1,3]=>[3,1,6,2,4,7,8,5]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,2,3,1,8]=>[7,6,4,8,2,5,1,3]=>[3,1,5,2,8,4,6,7]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[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]=>[3,1,5,2,6,8,4,7]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>[6,5,4,7,2,3,1,8]=>[6,5,4,8,2,7,1,3]=>[3,1,7,2,8,4,5,6]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[5,6,4,7,2,3,1,8]=>[5,8,4,7,2,6,1,3]=>[3,1,6,2,7,4,8,5]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,2,3,1,8]=>[5,4,8,7,2,6,1,3]=>[3,1,6,2,7,8,4,5]
[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[4,5,6,7,2,3,1,8]=>[4,8,7,6,2,5,1,3]=>[3,1,5,2,6,7,8,4]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[5,6,7,3,2,4,1,8]=>[5,8,7,3,2,6,1,4]=>[4,1,6,2,3,7,8,5]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[7,6,5,2,8,4,1,3]=>[3,1,4,8,2,5,6,7]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[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]=>[3,1,4,6,2,8,5,7]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[6,5,7,2,3,4,1,8]=>[6,5,8,2,7,4,1,3]=>[3,1,4,7,2,8,5,6]
[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[5,6,7,2,3,4,1,8]=>[5,8,7,2,6,4,1,3]=>[3,1,4,6,2,7,8,5]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[6,7,4,3,2,5,1,8]=>[6,8,4,3,2,7,1,5]=>[5,1,7,2,3,4,8,6]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[6,7,3,4,2,5,1,8]=>[6,8,3,7,2,5,1,4]=>[4,1,5,2,7,3,8,6]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[7,6,4,2,3,5,1,8]=>[7,6,4,2,8,5,1,3]=>[3,1,5,8,2,4,6,7]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[7,6,3,2,4,5,1,8]=>[7,6,3,2,8,5,1,4]=>[4,1,5,8,2,3,6,7]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[6,7,3,2,4,5,1,8]=>[6,8,3,2,7,5,1,4]=>[4,1,5,7,2,3,8,6]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[7,6,2,3,4,5,1,8]=>[7,6,2,8,5,4,1,3]=>[3,1,4,5,8,2,6,7]
[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>[6,7,2,3,4,5,1,8]=>[6,8,2,7,5,4,1,3]=>[3,1,4,5,7,2,8,6]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[7,4,5,3,2,6,1,8]=>[7,4,8,3,2,6,1,5]=>[5,1,6,2,3,8,4,7]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[7,5,3,4,2,6,1,8]=>[7,5,3,8,2,6,1,4]=>[4,1,6,2,8,3,5,7]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[7,4,3,5,2,6,1,8]=>[7,4,3,8,2,6,1,5]=>[5,1,6,2,8,3,4,7]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>[7,4,5,2,3,6,1,8]=>[7,4,8,2,6,5,1,3]=>[3,1,5,6,2,8,4,7]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[7,5,3,2,4,6,1,8]=>[7,5,3,2,8,6,1,4]=>[4,1,6,8,2,3,5,7]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>[7,4,2,3,5,6,1,8]=>[7,4,2,8,6,5,1,3]=>[3,1,5,6,8,2,4,7]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>[5,4,6,3,2,7,1,8]=>[5,4,8,3,2,7,1,6]=>[6,1,7,2,3,8,4,5]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[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]=>[4,1,5,2,7,8,3,6]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[5,4,3,6,2,7,1,8]=>[5,4,3,8,2,7,1,6]=>[6,1,7,2,8,3,4,5]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[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]=>[4,1,5,2,6,7,8,3]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>[6,5,3,2,4,7,1,8]=>[6,5,3,2,8,7,1,4]=>[4,1,7,8,2,3,5,6]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[6,4,2,3,5,7,1,8]=>[6,4,2,8,7,5,1,3]=>[3,1,5,7,8,2,4,6]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>[6,3,2,4,5,7,1,8]=>[6,3,2,8,7,5,1,4]=>[4,1,5,7,8,2,3,6]
[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[6,2,3,4,5,7,1,8]=>[6,2,8,7,5,4,1,3]=>[3,1,4,5,7,8,2,6]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[5,4,3,2,8,7,1,6]=>[6,1,7,8,2,3,4,5]
[[.,[[[[.,.],[[.,.],.]],.],.]],.]=>[4,5,2,3,6,7,1,8]=>[4,8,2,7,6,5,1,3]=>[3,1,5,6,7,2,8,4]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[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]=>[2,6,1,3,7,8,4,5]
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[4,5,6,7,3,1,2,8]=>[4,8,7,6,3,1,5,2]=>[2,5,1,3,6,7,8,4]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[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]=>[2,4,1,7,3,8,5,6]
[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[6,7,3,4,5,1,2,8]=>[6,8,3,7,5,1,4,2]=>[2,4,1,5,7,3,8,6]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[7,5,3,4,6,1,2,8]=>[7,5,3,8,6,1,4,2]=>[2,4,1,6,8,3,5,7]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>[6,5,4,3,7,1,2,8]=>[6,5,4,3,8,1,7,2]=>[2,7,1,8,3,4,5,6]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>[6,4,5,3,7,1,2,8]=>[6,4,8,3,7,1,5,2]=>[2,5,1,7,3,8,4,6]
[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[3,4,5,6,7,1,2,8]=>[3,8,7,6,5,1,4,2]=>[2,4,1,5,6,7,8,3]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,2,1,3,8]=>[7,4,8,6,2,1,5,3]=>[3,5,1,2,6,8,4,7]
[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[4,5,6,7,2,1,3,8]=>[4,8,7,6,2,1,5,3]=>[3,5,1,2,6,7,8,4]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[7,6,5,4,1,2,3,8]=>[7,6,5,4,1,8,3,2]=>[2,3,8,1,4,5,6,7]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[7,5,6,4,1,2,3,8]=>[7,5,8,4,1,6,3,2]=>[2,3,6,1,4,8,5,7]
[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,1,2,3,8]=>[5,8,7,4,1,6,3,2]=>[2,3,6,1,4,7,8,5]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[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]=>[2,3,6,1,8,4,5,7]
[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,1,2,3,8]=>[7,4,8,6,1,5,3,2]=>[2,3,5,1,6,8,4,7]
[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[5,6,4,7,1,2,3,8]=>[5,8,4,7,1,6,3,2]=>[2,3,6,1,7,4,8,5]
[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[5,4,6,7,1,2,3,8]=>[5,4,8,7,1,6,3,2]=>[2,3,6,1,7,8,4,5]
[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[4,5,6,7,1,2,3,8]=>[4,8,7,6,1,5,3,2]=>[2,3,5,1,6,7,8,4]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[7,6,5,2,3,1,4,8]=>[7,6,5,2,8,1,4,3]=>[3,4,1,8,2,5,6,7]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>[6,7,5,2,3,1,4,8]=>[6,8,5,2,7,1,4,3]=>[3,4,1,7,2,5,8,6]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[7,5,6,2,3,1,4,8]=>[7,5,8,2,6,1,4,3]=>[3,4,1,6,2,8,5,7]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[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]=>[3,4,1,6,2,7,8,5]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[7,5,6,3,1,2,4,8]=>[7,5,8,3,1,6,4,2]=>[2,4,6,1,3,8,5,7]
[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[5,6,7,3,1,2,4,8]=>[5,8,7,3,1,6,4,2]=>[2,4,6,1,3,7,8,5]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[7,6,5,2,1,3,4,8]=>[7,6,5,2,1,8,4,3]=>[3,4,8,1,2,5,6,7]
[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[5,6,7,2,1,3,4,8]=>[5,8,7,2,1,6,4,3]=>[3,4,6,1,2,7,8,5]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[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]=>[2,3,4,7,1,5,8,6]
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[7,5,6,1,2,3,4,8]=>[7,5,8,1,6,4,3,2]=>[2,3,4,6,1,8,5,7]
[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[6,5,7,1,2,3,4,8]=>[6,5,8,1,7,4,3,2]=>[2,3,4,7,1,8,5,6]
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>[5,8,7,1,6,4,3,2]=>[2,3,4,6,1,7,8,5]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[7,6,4,3,2,1,5,8]=>[7,6,4,3,2,1,8,5]=>[5,8,1,2,3,4,6,7]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[6,7,4,3,2,1,5,8]=>[6,8,4,3,2,1,7,5]=>[5,7,1,2,3,4,8,6]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>[6,7,3,4,2,1,5,8]=>[6,8,3,7,2,1,5,4]=>[4,5,1,2,7,3,8,6]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>[7,6,4,2,3,1,5,8]=>[7,6,4,2,8,1,5,3]=>[3,5,1,8,2,4,6,7]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[7,6,3,2,4,1,5,8]=>[7,6,3,2,8,1,5,4]=>[4,5,1,8,2,3,6,7]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[7,6,2,3,4,1,5,8]=>[7,6,2,8,5,1,4,3]=>[3,4,1,5,8,2,6,7]
[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[6,7,2,3,4,1,5,8]=>[6,8,2,7,5,1,4,3]=>[3,4,1,5,7,2,8,6]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[7,6,4,2,1,3,5,8]=>[7,6,4,2,1,8,5,3]=>[3,5,8,1,2,4,6,7]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[7,6,3,2,1,4,5,8]=>[7,6,3,2,1,8,5,4]=>[4,5,8,1,2,3,6,7]
[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>[6,7,3,2,1,4,5,8]=>[6,8,3,2,1,7,5,4]=>[4,5,7,1,2,3,8,6]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>[7,6,2,3,1,4,5,8]=>[7,6,2,8,1,5,4,3]=>[3,4,5,1,8,2,6,7]
[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[6,7,3,1,2,4,5,8]=>[6,8,3,1,7,5,4,2]=>[2,4,5,7,1,3,8,6]
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[6,7,1,2,3,4,5,8]=>[6,8,1,7,5,4,3,2]=>[2,3,4,5,7,1,8,6]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[7,5,2,3,4,1,6,8]=>[7,5,2,8,6,1,4,3]=>[3,4,1,6,8,2,5,7]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>[7,4,2,3,5,1,6,8]=>[7,4,2,8,6,1,5,3]=>[3,5,1,6,8,2,4,7]
[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[7,2,3,4,5,1,6,8]=>[7,2,8,6,5,1,4,3]=>[3,4,1,5,6,8,2,7]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[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]=>[2,3,5,6,1,8,4,7]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[7,5,3,2,1,4,6,8]=>[7,5,3,2,1,8,6,4]=>[4,6,8,1,2,3,5,7]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[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]=>[2,3,4,6,8,1,5,7]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[7,4,3,2,1,5,6,8]=>[7,4,3,2,1,8,6,5]=>[5,6,8,1,2,3,4,7]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[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]=>[2,4,5,6,1,8,3,7]
[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[7,3,1,2,4,5,6,8]=>[7,3,1,8,6,5,4,2]=>[2,4,5,6,8,1,3,7]
[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[7,1,2,3,4,5,6,8]=>[7,1,8,6,5,4,3,2]=>[2,3,4,5,6,8,1,7]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>[5,6,4,3,2,1,7,8]=>[5,8,4,3,2,1,7,6]=>[6,7,1,2,3,4,8,5]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>[5,4,6,3,2,1,7,8]=>[5,4,8,3,2,1,7,6]=>[6,7,1,2,3,8,4,5]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[4,8,7,3,2,1,6,5]=>[5,6,1,2,3,7,8,4]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[6,5,3,4,2,1,7,8]=>[6,5,3,8,2,1,7,4]=>[4,7,1,2,8,3,5,6]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>[5,4,3,6,2,1,7,8]=>[5,4,3,8,2,1,7,6]=>[6,7,1,2,8,3,4,5]
[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[3,8,7,6,2,1,5,4]=>[4,5,1,2,6,7,8,3]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>[5,4,6,2,3,1,7,8]=>[5,4,8,2,7,1,6,3]=>[3,6,1,7,2,8,4,5]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>[5,6,3,2,4,1,7,8]=>[5,8,3,2,7,1,6,4]=>[4,6,1,7,2,3,8,5]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[6,5,2,3,4,1,7,8]=>[6,5,2,8,7,1,4,3]=>[3,4,1,7,8,2,5,6]
[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>[5,6,2,3,4,1,7,8]=>[5,8,2,7,6,1,4,3]=>[3,4,1,6,7,2,8,5]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[6,4,3,2,5,1,7,8]=>[6,4,3,2,8,1,7,5]=>[5,7,1,8,2,3,4,6]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[5,4,3,2,8,1,7,6]=>[6,7,1,8,2,3,4,5]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[4,8,3,2,7,1,6,5]=>[5,6,1,7,2,3,8,4]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>[5,3,2,4,6,1,7,8]=>[5,3,2,8,7,1,6,4]=>[4,6,1,7,8,2,3,5]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[6,5,4,3,1,2,7,8]=>[6,5,4,3,1,8,7,2]=>[2,7,8,1,3,4,5,6]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[5,6,4,3,1,2,7,8]=>[5,8,4,3,1,7,6,2]=>[2,6,7,1,3,4,8,5]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[5,4,6,3,1,2,7,8]=>[5,4,8,3,1,7,6,2]=>[2,6,7,1,3,8,4,5]
[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[5,6,3,4,1,2,7,8]=>[5,8,3,7,1,6,4,2]=>[2,4,6,1,7,3,8,5]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[6,4,3,5,1,2,7,8]=>[6,4,3,8,1,7,5,2]=>[2,5,7,1,8,3,4,6]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[5,4,3,6,1,2,7,8]=>[5,4,3,8,1,7,6,2]=>[2,6,7,1,8,3,4,5]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[5,6,4,2,1,3,7,8]=>[5,8,4,2,1,7,6,3]=>[3,6,7,1,2,4,8,5]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[6,4,5,2,1,3,7,8]=>[6,4,8,2,1,7,5,3]=>[3,5,7,1,2,8,4,6]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[5,4,6,2,1,3,7,8]=>[5,4,8,2,1,7,6,3]=>[3,6,7,1,2,8,4,5]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[5,6,3,2,1,4,7,8]=>[5,8,3,2,1,7,6,4]=>[4,6,7,1,2,3,8,5]
[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[6,5,1,2,3,4,7,8]=>[6,5,1,8,7,4,3,2]=>[2,3,4,7,8,1,5,6]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[6,4,3,2,1,5,7,8]=>[6,4,3,2,1,8,7,5]=>[5,7,8,1,2,3,4,6]
[[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>[6,3,4,2,1,5,7,8]=>[6,3,8,2,1,7,5,4]=>[4,5,7,1,2,8,3,6]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[6,4,3,1,2,5,7,8]=>[6,4,3,1,8,7,5,2]=>[2,5,7,8,1,3,4,6]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[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]=>[6,7,8,1,2,3,4,5]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[4,8,3,2,1,7,6,5]=>[5,6,7,1,2,3,8,4]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[5,3,4,2,1,6,7,8]=>[5,3,8,2,1,7,6,4]=>[4,6,7,1,2,8,3,5]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[4,3,8,2,1,7,6,5]=>[5,6,7,1,2,8,3,4]
[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[3,8,7,2,1,6,5,4]=>[4,5,6,1,2,7,8,3]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[5,4,2,3,1,6,7,8]=>[5,4,2,8,1,7,6,3]=>[3,6,7,1,8,2,4,5]
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[4,5,2,3,1,6,7,8]=>[4,8,2,7,1,6,5,3]=>[3,5,6,1,7,2,8,4]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[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]=>[3,4,6,1,7,8,2,5]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[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]=>[4,5,6,1,7,2,8,3]
[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[4,2,3,5,1,6,7,8]=>[4,2,8,7,1,6,5,3]=>[3,5,6,1,7,8,2,4]
[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[3,2,8,7,1,6,5,4]=>[4,5,6,1,7,8,2,3]
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[2,8,7,6,1,5,4,3]=>[3,4,5,1,6,7,8,2]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[5,4,3,1,2,6,7,8]=>[5,4,3,1,8,7,6,2]=>[2,6,7,8,1,3,4,5]
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[5,3,4,1,2,6,7,8]=>[5,3,8,1,7,6,4,2]=>[2,4,6,7,1,8,3,5]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[5,4,2,1,3,6,7,8]=>[5,4,2,1,8,7,6,3]=>[3,6,7,8,1,2,4,5]
[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[5,4,1,2,3,6,7,8]=>[5,4,1,8,7,6,3,2]=>[2,3,6,7,8,1,4,5]
[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[4,5,1,2,3,6,7,8]=>[4,8,1,7,6,5,3,2]=>[2,3,5,6,7,1,8,4]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[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]=>[3,4,6,7,1,8,2,5]
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[5,3,1,2,4,6,7,8]=>[5,3,1,8,7,6,4,2]=>[2,4,6,7,8,1,3,5]
[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[5,2,1,3,4,6,7,8]=>[5,2,1,8,7,6,4,3]=>[3,4,6,7,8,1,2,5]
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[5,1,2,3,4,6,7,8]=>[5,1,8,7,6,4,3,2]=>[2,3,4,6,7,8,1,5]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[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]=>[4,5,6,7,1,2,8,3]
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[4,2,3,1,5,6,7,8]=>[4,2,8,1,7,6,5,3]=>[3,5,6,7,1,8,2,4]
[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[3,2,8,1,7,6,5,4]=>[4,5,6,7,1,8,2,3]
[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[2,8,7,1,6,5,4,3]=>[3,4,5,6,1,7,8,2]
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[4,3,1,2,5,6,7,8]=>[4,3,1,8,7,6,5,2]=>[2,5,6,7,8,1,3,4]
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[3,4,1,2,5,6,7,8]=>[3,8,1,7,6,5,4,2]=>[2,4,5,6,7,1,8,3]
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[4,2,1,3,5,6,7,8]=>[4,2,1,8,7,6,5,3]=>[3,5,6,7,8,1,2,4]
[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[4,1,2,3,5,6,7,8]=>[4,1,8,7,6,5,3,2]=>[2,3,5,6,7,8,1,4]
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]
[[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[2,8,1,7,6,5,4,3]=>[3,4,5,6,7,1,8,2]
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[3,1,2,4,5,6,7,8]=>[3,1,8,7,6,5,4,2]=>[2,4,5,6,7,8,1,3]
[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]
[[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
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
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
searching the database
Sorry, this map was not found in the database.