Identifier
Mp00014:
Binary trees
—to 132-avoiding permutation⟶
Permutations
Mp00073: Permutations —major-index to inversion-number bijection⟶ Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00149: Permutations —Lehmer code rotation⟶ Permutations
Mp00073: Permutations —major-index to inversion-number bijection⟶ Permutations
Mp00069: Permutations —complement⟶ Permutations
Mp00149: Permutations —Lehmer code rotation⟶ Permutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1]=>[1]
[.,[.,.]]=>[2,1]=>[2,1]=>[1,2]=>[2,1]
[[.,.],.]=>[1,2]=>[1,2]=>[2,1]=>[1,2]
[.,[.,[.,.]]]=>[3,2,1]=>[3,2,1]=>[1,2,3]=>[2,3,1]
[.,[[.,.],.]]=>[2,3,1]=>[3,1,2]=>[1,3,2]=>[2,1,3]
[[.,.],[.,.]]=>[3,1,2]=>[1,3,2]=>[3,1,2]=>[1,3,2]
[[.,[.,.]],.]=>[2,1,3]=>[2,1,3]=>[2,3,1]=>[3,1,2]
[[[.,.],.],.]=>[1,2,3]=>[1,2,3]=>[3,2,1]=>[1,2,3]
[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]=>[2,3,4,1]
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[4,3,1,2]=>[1,2,4,3]=>[2,3,1,4]
[.,[[.,.],[.,.]]]=>[4,2,3,1]=>[4,1,3,2]=>[1,4,2,3]=>[2,1,4,3]
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[4,2,1,3]=>[1,3,4,2]=>[2,4,1,3]
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[4,1,2,3]=>[1,4,3,2]=>[2,1,3,4]
[[.,.],[.,[.,.]]]=>[4,3,1,2]=>[1,4,3,2]=>[4,1,2,3]=>[1,3,4,2]
[[.,.],[[.,.],.]]=>[3,4,1,2]=>[1,4,2,3]=>[4,1,3,2]=>[1,3,2,4]
[[.,[.,.]],[.,.]]=>[4,2,1,3]=>[3,1,4,2]=>[2,4,1,3]=>[3,1,4,2]
[[[.,.],.],[.,.]]=>[4,1,2,3]=>[1,2,4,3]=>[4,3,1,2]=>[1,2,4,3]
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1,4]=>[2,3,4,1]=>[3,4,1,2]
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[3,1,2,4]=>[2,4,3,1]=>[3,1,2,4]
[[[.,.],[.,.]],.]=>[3,1,2,4]=>[1,3,2,4]=>[4,2,3,1]=>[1,4,2,3]
[[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,1,3,4]=>[3,4,2,1]=>[4,1,2,3]
[[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>[1,2,3,4]
[.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[2,3,4,5,1]
[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[5,4,3,1,2]=>[1,2,3,5,4]=>[2,3,4,1,5]
[.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[5,4,1,3,2]=>[1,2,5,3,4]=>[2,3,1,5,4]
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[5,4,2,1,3]=>[1,2,4,5,3]=>[2,3,5,1,4]
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[2,3,1,4,5]
[.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[5,1,4,3,2]=>[1,5,2,3,4]=>[2,1,4,5,3]
[.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[5,1,4,2,3]=>[1,5,2,4,3]=>[2,1,4,3,5]
[.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[5,3,1,4,2]=>[1,3,5,2,4]=>[2,4,1,5,3]
[.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[5,1,2,4,3]=>[1,5,4,2,3]=>[2,1,3,5,4]
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[5,3,2,1,4]=>[1,3,4,5,2]=>[2,4,5,1,3]
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[5,3,1,2,4]=>[1,3,5,4,2]=>[2,4,1,3,5]
[.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[5,1,3,2,4]=>[1,5,3,4,2]=>[2,1,5,3,4]
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[5,2,1,3,4]=>[1,4,5,3,2]=>[2,5,1,3,4]
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[2,1,3,4,5]
[[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[1,3,4,5,2]
[[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[1,5,4,2,3]=>[5,1,2,4,3]=>[1,3,4,2,5]
[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[1,5,2,4,3]=>[5,1,4,2,3]=>[1,3,2,5,4]
[[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[1,5,3,2,4]=>[5,1,3,4,2]=>[1,3,5,2,4]
[[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[1,5,2,3,4]=>[5,1,4,3,2]=>[1,3,2,4,5]
[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[4,1,5,3,2]=>[2,5,1,3,4]=>[3,1,4,5,2]
[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[4,1,5,2,3]=>[2,5,1,4,3]=>[3,1,4,2,5]
[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[1,2,4,5,3]
[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[1,2,5,3,4]=>[5,4,1,3,2]=>[1,2,4,3,5]
[[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[4,3,1,5,2]=>[2,3,5,1,4]=>[3,4,1,5,2]
[[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[4,1,2,5,3]=>[2,5,4,1,3]=>[3,1,2,5,4]
[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[1,4,2,5,3]=>[5,2,4,1,3]=>[1,4,2,5,3]
[[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[3,1,2,5,4]=>[3,5,4,1,2]=>[4,1,2,5,3]
[[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>[1,2,3,5,4]
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[3,4,5,1,2]
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[4,3,1,2,5]=>[2,3,5,4,1]=>[3,4,1,2,5]
[[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[4,1,3,2,5]=>[2,5,3,4,1]=>[3,1,5,2,4]
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[4,2,1,3,5]=>[2,4,5,3,1]=>[3,5,1,2,4]
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[4,1,2,3,5]=>[2,5,4,3,1]=>[3,1,2,4,5]
[[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[1,4,5,2,3]
[[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[1,4,2,3,5]=>[5,2,4,3,1]=>[1,4,2,3,5]
[[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[3,5,2,4,1]=>[4,1,5,2,3]
[[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>[1,2,5,3,4]
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[4,5,1,2,3]
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[3,1,2,4,5]=>[3,5,4,2,1]=>[4,1,2,3,5]
[[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>[1,5,2,3,4]
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[4,5,3,2,1]=>[5,1,2,3,4]
[[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[1,2,3,4,5]
[.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]
[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]
[.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[6,5,4,1,3,2]=>[1,2,3,6,4,5]=>[2,3,4,1,6,5]
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>[2,3,4,1,5,6]
[.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>[2,3,1,5,6,4]
[.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[6,5,1,4,2,3]=>[1,2,6,3,5,4]=>[2,3,1,5,4,6]
[.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[6,5,3,1,4,2]=>[1,2,4,6,3,5]=>[2,3,5,1,6,4]
[.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[6,5,1,2,4,3]=>[1,2,6,5,3,4]=>[2,3,1,4,6,5]
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>[2,3,5,6,1,4]
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>[2,3,5,1,4,6]
[.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[6,5,1,3,2,4]=>[1,2,6,4,5,3]=>[2,3,1,6,4,5]
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>[2,3,6,1,4,5]
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>[2,3,1,4,5,6]
[.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>[2,1,4,5,6,3]
[.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[6,1,5,4,2,3]=>[1,6,2,3,5,4]=>[2,1,4,5,3,6]
[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[6,1,5,2,4,3]=>[1,6,2,5,3,4]=>[2,1,4,3,6,5]
[.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[6,1,5,3,2,4]=>[1,6,2,4,5,3]=>[2,1,4,6,3,5]
[.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[6,1,5,2,3,4]=>[1,6,2,5,4,3]=>[2,1,4,3,5,6]
[.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>[2,4,1,5,6,3]
[.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[6,4,1,5,2,3]=>[1,3,6,2,5,4]=>[2,4,1,5,3,6]
[.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[2,1,3,5,6,4]
[.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[6,1,2,5,3,4]=>[1,6,5,2,4,3]=>[2,1,3,5,4,6]
[.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[6,4,3,1,5,2]=>[1,3,4,6,2,5]=>[2,4,5,1,6,3]
[.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[6,4,1,2,5,3]=>[1,3,6,5,2,4]=>[2,4,1,3,6,5]
[.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[6,1,4,2,5,3]=>[1,6,3,5,2,4]=>[2,1,5,3,6,4]
[.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[6,3,1,2,5,4]=>[1,4,6,5,2,3]=>[2,5,1,3,6,4]
[.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>[1,6,5,4,2,3]=>[2,1,3,4,6,5]
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>[2,4,5,6,1,3]
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>[2,4,5,1,3,6]
[.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[6,4,1,3,2,5]=>[1,3,6,4,5,2]=>[2,4,1,6,3,5]
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>[2,4,6,1,3,5]
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>[2,4,1,3,5,6]
[.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[6,1,4,3,2,5]=>[1,6,3,4,5,2]=>[2,1,5,6,3,4]
[.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[6,1,4,2,3,5]=>[1,6,3,5,4,2]=>[2,1,5,3,4,6]
[.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[6,3,1,4,2,5]=>[1,4,6,3,5,2]=>[2,5,1,6,3,4]
[.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[6,1,2,4,3,5]=>[1,6,5,3,4,2]=>[2,1,3,6,4,5]
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>[2,5,6,1,3,4]
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>[2,5,1,3,4,6]
[.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[6,1,3,2,4,5]=>[1,6,4,5,3,2]=>[2,1,6,3,4,5]
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>[2,6,1,3,4,5]
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[2,1,3,4,5,6]
[[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[1,3,4,5,6,2]
[[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>[1,3,4,5,2,6]
[[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>[1,3,4,2,6,5]
[[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>[1,3,4,6,2,5]
[[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>[1,3,4,2,5,6]
[[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[1,3,2,5,6,4]
[[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>[1,3,2,5,4,6]
[[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[1,6,4,2,5,3]=>[6,1,3,5,2,4]=>[1,3,5,2,6,4]
[[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>[1,3,2,4,6,5]
[[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>[1,3,5,6,2,4]
[[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>[1,3,5,2,4,6]
[[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>[1,3,2,6,4,5]
[[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>[1,3,6,2,4,5]
[[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>[1,3,2,4,5,6]
[[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>[3,1,4,5,6,2]
[[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[5,1,6,4,2,3]=>[2,6,1,3,5,4]=>[3,1,4,5,2,6]
[[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[5,1,6,2,4,3]=>[2,6,1,5,3,4]=>[3,1,4,2,6,5]
[[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[5,1,6,3,2,4]=>[2,6,1,4,5,3]=>[3,1,4,6,2,5]
[[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[5,1,6,2,3,4]=>[2,6,1,5,4,3]=>[3,1,4,2,5,6]
[[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[1,2,4,5,6,3]
[[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>[1,2,4,5,3,6]
[[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>[1,2,4,3,6,5]
[[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>[1,2,4,6,3,5]
[[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>[1,2,4,3,5,6]
[[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[3,4,1,5,6,2]
[[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[5,4,1,6,2,3]=>[2,3,6,1,5,4]=>[3,4,1,5,2,6]
[[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[5,1,2,6,4,3]=>[2,6,5,1,3,4]=>[3,1,2,5,6,4]
[[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[5,1,2,6,3,4]=>[2,6,5,1,4,3]=>[3,1,2,5,4,6]
[[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[1,5,2,6,4,3]=>[6,2,5,1,3,4]=>[1,4,2,5,6,3]
[[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>[1,4,2,5,3,6]
[[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[4,1,2,6,5,3]=>[3,6,5,1,2,4]=>[4,1,2,5,6,3]
[[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[4,1,2,6,3,5]=>[3,6,5,1,4,2]=>[4,1,2,5,3,6]
[[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[1,2,3,5,6,4]
[[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>[1,2,3,5,4,6]
[[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[5,4,3,1,6,2]=>[2,3,4,6,1,5]=>[3,4,5,1,6,2]
[[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[5,4,1,2,6,3]=>[2,3,6,5,1,4]=>[3,4,1,2,6,5]
[[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[5,1,4,2,6,3]=>[2,6,3,5,1,4]=>[3,1,5,2,6,4]
[[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[5,3,1,2,6,4]=>[2,4,6,5,1,3]=>[3,5,1,2,6,4]
[[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[5,1,2,3,6,4]=>[2,6,5,4,1,3]=>[3,1,2,4,6,5]
[[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[1,5,4,2,6,3]=>[6,2,3,5,1,4]=>[1,4,5,2,6,3]
[[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>[1,4,2,3,6,5]
[[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[4,1,5,2,6,3]
[[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>[1,2,5,3,6,4]
[[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[4,5,1,2,6,3]
[[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[4,1,2,3,6,5]
[[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[1,5,2,3,6,4]
[[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[5,1,2,3,6,4]
[[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[1,2,3,4,6,5]
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[3,4,5,6,1,2]
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>[3,4,5,1,2,6]
[[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[5,4,1,3,2,6]=>[2,3,6,4,5,1]=>[3,4,1,6,2,5]
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>[3,4,6,1,2,5]
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>[3,4,1,2,5,6]
[[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[5,1,4,3,2,6]=>[2,6,3,4,5,1]=>[3,1,5,6,2,4]
[[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[5,1,4,2,3,6]=>[2,6,3,5,4,1]=>[3,1,5,2,4,6]
[[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[5,3,1,4,2,6]=>[2,4,6,3,5,1]=>[3,5,1,6,2,4]
[[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[5,1,2,4,3,6]=>[2,6,5,3,4,1]=>[3,1,2,6,4,5]
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>[3,5,6,1,2,4]
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>[3,5,1,2,4,6]
[[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[5,1,3,2,4,6]=>[2,6,4,5,3,1]=>[3,1,6,2,4,5]
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>[3,6,1,2,4,5]
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[3,1,2,4,5,6]
[[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[1,4,5,6,2,3]
[[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>[1,4,5,2,3,6]
[[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>[1,4,2,6,3,5]
[[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>[1,4,6,2,3,5]
[[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>[1,4,2,3,5,6]
[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[4,1,5,3,2,6]=>[3,6,2,4,5,1]=>[4,1,5,6,2,3]
[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[4,1,5,2,3,6]=>[3,6,2,5,4,1]=>[4,1,5,2,3,6]
[[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[1,2,5,6,3,4]
[[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>[1,2,5,3,4,6]
[[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[4,3,1,5,2,6]=>[3,4,6,2,5,1]=>[4,5,1,6,2,3]
[[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[4,1,2,5,3,6]=>[3,6,5,2,4,1]=>[4,1,2,6,3,5]
[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[1,5,2,6,3,4]
[[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[5,1,2,6,3,4]
[[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[1,2,3,6,4,5]
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[4,5,6,1,2,3]
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>[4,5,1,2,3,6]
[[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[4,1,3,2,5,6]=>[3,6,4,5,2,1]=>[4,1,6,2,3,5]
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>[4,6,1,2,3,5]
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[4,1,2,3,5,6]
[[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[1,5,6,2,3,4]
[[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>[1,5,2,3,4,6]
[[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]=>[4,6,3,5,2,1]=>[5,1,6,2,3,4]
[[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[1,2,6,3,4,5]
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[5,6,1,2,3,4]
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[5,1,2,3,4,6]
[[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[1,6,2,3,4,5]
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[6,1,2,3,4,5]
[[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>[2,3,4,5,1,7,6]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>[2,3,4,5,7,1,6]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,6,7]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>[2,3,4,1,6,7,5]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[7,6,5,1,4,2,3]=>[1,2,3,7,4,6,5]=>[2,3,4,1,6,5,7]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>[2,3,4,6,1,7,5]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>[2,3,4,1,5,7,6]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>[2,3,4,6,7,1,5]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>[2,3,4,6,1,5,7]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>[2,3,4,1,7,5,6]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>[2,3,4,7,1,5,6]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[2,3,4,1,5,6,7]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>[2,3,1,5,6,7,4]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[7,6,1,5,4,2,3]=>[1,2,7,3,4,6,5]=>[2,3,1,5,6,4,7]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>[2,3,1,5,4,7,6]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>[2,3,1,5,7,4,6]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>[2,3,1,5,4,6,7]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>[2,3,5,1,6,7,4]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[7,6,4,1,5,2,3]=>[1,2,4,7,3,6,5]=>[2,3,5,1,6,4,7]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[2,3,1,4,6,7,5]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[7,6,1,2,5,3,4]=>[1,2,7,6,3,5,4]=>[2,3,1,4,6,5,7]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>[2,3,5,6,1,7,4]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[7,6,4,1,2,5,3]=>[1,2,4,7,6,3,5]=>[2,3,5,1,4,7,6]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[7,6,1,4,2,5,3]=>[1,2,7,4,6,3,5]=>[2,3,1,6,4,7,5]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>[2,3,6,1,4,7,5]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>[2,3,1,4,5,7,6]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>[2,3,5,6,7,1,4]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>[2,3,5,6,1,4,7]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>[2,3,5,1,7,4,6]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>[2,3,5,7,1,4,6]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>[2,3,5,1,4,6,7]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>[2,3,1,6,7,4,5]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>[2,3,1,6,4,5,7]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[7,6,3,1,4,2,5]=>[1,2,5,7,4,6,3]=>[2,3,6,1,7,4,5]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>[2,3,1,4,7,5,6]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>[2,3,6,7,1,4,5]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>[2,3,6,1,4,5,7]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>[2,3,1,7,4,5,6]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>[2,3,7,1,4,5,6]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>[2,3,1,4,5,6,7]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[2,1,4,5,6,7,3]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[7,1,6,5,4,2,3]=>[1,7,2,3,4,6,5]=>[2,1,4,5,6,3,7]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>[2,1,4,5,3,7,6]
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>[2,1,4,5,7,3,6]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[7,1,6,5,2,3,4]=>[1,7,2,3,6,5,4]=>[2,1,4,5,3,6,7]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[2,1,4,3,6,7,5]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[2,1,4,3,6,5,7]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[7,1,6,4,2,5,3]=>[1,7,2,4,6,3,5]=>[2,1,4,6,3,7,5]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>[2,1,4,3,5,7,6]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>[2,1,4,6,7,3,5]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]=>[2,1,4,6,3,5,7]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>[2,1,4,3,7,5,6]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[7,1,6,3,2,4,5]=>[1,7,2,5,6,4,3]=>[2,1,4,7,3,5,6]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[7,1,6,2,3,4,5]=>[1,7,2,6,5,4,3]=>[2,1,4,3,5,6,7]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>[2,4,1,5,6,7,3]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[7,5,1,6,4,2,3]=>[1,3,7,2,4,6,5]=>[2,4,1,5,6,3,7]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[7,5,1,6,2,4,3]=>[1,3,7,2,6,4,5]=>[2,4,1,5,3,7,6]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[7,5,1,6,3,2,4]=>[1,3,7,2,5,6,4]=>[2,4,1,5,7,3,6]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[7,5,1,6,2,3,4]=>[1,3,7,2,6,5,4]=>[2,4,1,5,3,6,7]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[2,1,3,5,6,7,4]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>[2,1,3,5,6,4,7]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>[2,1,3,5,4,7,6]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>[2,1,3,5,7,4,6]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[7,1,2,6,3,4,5]=>[1,7,6,2,5,4,3]=>[2,1,3,5,4,6,7]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>[2,4,5,1,6,7,3]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[7,5,4,1,6,2,3]=>[1,3,4,7,2,6,5]=>[2,4,5,1,6,3,7]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[7,5,1,2,6,4,3]=>[1,3,7,6,2,4,5]=>[2,4,1,3,6,7,5]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[7,5,1,2,6,3,4]=>[1,3,7,6,2,5,4]=>[2,4,1,3,6,5,7]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[7,1,5,2,6,4,3]=>[1,7,3,6,2,4,5]=>[2,1,5,3,6,7,4]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[7,1,5,2,6,3,4]=>[1,7,3,6,2,5,4]=>[2,1,5,3,6,4,7]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[7,4,1,2,6,5,3]=>[1,4,7,6,2,3,5]=>[2,5,1,3,6,7,4]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[7,4,1,2,6,3,5]=>[1,4,7,6,2,5,3]=>[2,5,1,3,6,4,7]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[2,1,3,4,6,7,5]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[7,1,2,3,6,4,5]=>[1,7,6,5,2,4,3]=>[2,1,3,4,6,5,7]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>[2,4,5,6,1,7,3]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[7,5,4,1,2,6,3]=>[1,3,4,7,6,2,5]=>[2,4,5,1,3,7,6]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[7,5,1,4,2,6,3]=>[1,3,7,4,6,2,5]=>[2,4,1,6,3,7,5]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[7,5,3,1,2,6,4]=>[1,3,5,7,6,2,4]=>[2,4,6,1,3,7,5]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[7,5,1,2,3,6,4]=>[1,3,7,6,5,2,4]=>[2,4,1,3,5,7,6]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[7,1,5,4,2,6,3]=>[1,7,3,4,6,2,5]=>[2,1,5,6,3,7,4]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[7,1,5,2,3,6,4]=>[1,7,3,6,5,2,4]=>[2,1,5,3,4,7,6]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[7,4,1,5,2,6,3]=>[1,4,7,3,6,2,5]=>[2,5,1,6,3,7,4]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[7,1,2,5,3,6,4]=>[1,7,6,3,5,2,4]=>[2,1,3,6,4,7,5]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>[2,5,6,1,3,7,4]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>[2,5,1,3,4,7,6]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>[2,1,6,3,4,7,5]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[2,6,1,3,4,7,5]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[2,1,3,4,5,7,6]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>[2,4,5,6,7,1,3]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>[2,4,5,6,1,3,7]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[7,5,4,1,3,2,6]=>[1,3,4,7,5,6,2]=>[2,4,5,1,7,3,6]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>[2,4,5,7,1,3,6]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>[2,4,5,1,3,6,7]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>[2,4,1,6,7,3,5]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[7,5,1,4,2,3,6]=>[1,3,7,4,6,5,2]=>[2,4,1,6,3,5,7]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[7,5,3,1,4,2,6]=>[1,3,5,7,4,6,2]=>[2,4,6,1,7,3,5]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>[2,4,1,3,7,5,6]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>[2,4,6,7,1,3,5]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>[2,4,6,1,3,5,7]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>[2,4,1,7,3,5,6]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>[2,4,7,1,3,5,6]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>[2,4,1,3,5,6,7]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>[2,1,5,6,7,3,4]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[7,1,5,4,2,3,6]=>[1,7,3,4,6,5,2]=>[2,1,5,6,3,4,7]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[7,1,5,2,4,3,6]=>[1,7,3,6,4,5,2]=>[2,1,5,3,7,4,6]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[7,1,5,3,2,4,6]=>[1,7,3,5,6,4,2]=>[2,1,5,7,3,4,6]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[7,1,5,2,3,4,6]=>[1,7,3,6,5,4,2]=>[2,1,5,3,4,6,7]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[7,4,1,5,3,2,6]=>[1,4,7,3,5,6,2]=>[2,5,1,6,7,3,4]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[7,4,1,5,2,3,6]=>[1,4,7,3,6,5,2]=>[2,5,1,6,3,4,7]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[2,1,3,6,7,4,5]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]=>[2,1,3,6,4,5,7]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[7,4,3,1,5,2,6]=>[1,4,5,7,3,6,2]=>[2,5,6,1,7,3,4]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[7,4,1,2,5,3,6]=>[1,4,7,6,3,5,2]=>[2,5,1,3,7,4,6]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[7,1,4,2,5,3,6]=>[1,7,4,6,3,5,2]=>[2,1,6,3,7,4,5]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[2,6,1,3,7,4,5]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>[2,1,3,4,7,5,6]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>[2,5,6,7,1,3,4]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>[2,5,6,1,3,4,7]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>[2,5,1,7,3,4,6]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>[2,5,7,1,3,4,6]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>[2,5,1,3,4,6,7]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[7,1,4,3,2,5,6]=>[1,7,4,5,6,3,2]=>[2,1,6,7,3,4,5]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[7,1,4,2,3,5,6]=>[1,7,4,6,5,3,2]=>[2,1,6,3,4,5,7]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[7,3,1,4,2,5,6]=>[1,5,7,4,6,3,2]=>[2,6,1,7,3,4,5]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>[2,1,3,7,4,5,6]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>[2,6,7,1,3,4,5]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[2,6,1,3,4,5,7]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[7,1,3,2,4,5,6]=>[1,7,5,6,4,3,2]=>[2,1,7,3,4,5,6]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>[2,7,1,3,4,5,6]
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[2,1,3,4,5,6,7]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[1,3,4,5,6,7,2]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>[1,3,4,5,6,2,7]
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>[1,3,4,5,2,7,6]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>[1,3,4,5,7,2,6]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>[1,3,4,5,2,6,7]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[1,3,4,2,6,7,5]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>[1,3,4,2,6,5,7]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>[1,3,4,6,2,7,5]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[1,3,4,2,5,7,6]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>[1,3,4,6,7,2,5]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>[1,3,4,6,2,5,7]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>[1,3,4,2,7,5,6]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>[1,3,4,7,2,5,6]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>[1,3,4,2,5,6,7]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[1,3,2,5,6,7,4]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>[1,3,2,5,6,4,7]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[1,3,2,5,4,7,6]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>[1,3,2,5,7,4,6]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>[1,3,2,5,4,6,7]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>[1,3,5,2,6,7,4]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>[1,3,5,2,6,4,7]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[1,3,2,4,6,7,5]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>[1,3,2,4,6,5,7]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>[1,3,5,6,2,7,4]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>[1,3,5,2,4,7,6]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>[1,3,2,6,4,7,5]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[1,3,6,2,4,7,5]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[1,3,2,4,5,7,6]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>[1,3,5,6,7,2,4]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>[1,3,5,6,2,4,7]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>[1,3,5,2,7,4,6]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>[1,3,5,7,2,4,6]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>[1,3,5,2,4,6,7]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[1,3,2,6,7,4,5]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>[1,3,2,6,4,5,7]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>[1,3,6,2,7,4,5]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>[1,3,2,4,7,5,6]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>[1,3,6,7,2,4,5]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>[1,3,6,2,4,5,7]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>[1,3,2,7,4,5,6]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>[1,3,7,2,4,5,6]
[[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[1,3,2,4,5,6,7]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[6,1,7,5,4,3,2]=>[2,7,1,3,4,5,6]=>[3,1,4,5,6,7,2]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[6,1,7,5,4,2,3]=>[2,7,1,3,4,6,5]=>[3,1,4,5,6,2,7]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[6,1,7,5,2,4,3]=>[2,7,1,3,6,4,5]=>[3,1,4,5,2,7,6]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[6,1,7,5,3,2,4]=>[2,7,1,3,5,6,4]=>[3,1,4,5,7,2,6]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[6,1,7,5,2,3,4]=>[2,7,1,3,6,5,4]=>[3,1,4,5,2,6,7]
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[6,1,7,2,5,4,3]=>[2,7,1,6,3,4,5]=>[3,1,4,2,6,7,5]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[6,1,7,2,5,3,4]=>[2,7,1,6,3,5,4]=>[3,1,4,2,6,5,7]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[6,1,7,4,2,5,3]=>[2,7,1,4,6,3,5]=>[3,1,4,6,2,7,5]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[6,1,7,2,3,5,4]=>[2,7,1,6,5,3,4]=>[3,1,4,2,5,7,6]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[6,1,7,4,3,2,5]=>[2,7,1,4,5,6,3]=>[3,1,4,6,7,2,5]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[6,1,7,4,2,3,5]=>[2,7,1,4,6,5,3]=>[3,1,4,6,2,5,7]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[6,1,7,2,4,3,5]=>[2,7,1,6,4,5,3]=>[3,1,4,2,7,5,6]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[6,1,7,3,2,4,5]=>[2,7,1,5,6,4,3]=>[3,1,4,7,2,5,6]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[6,1,7,2,3,4,5]=>[2,7,1,6,5,4,3]=>[3,1,4,2,5,6,7]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[1,2,4,5,6,7,3]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>[1,2,4,5,6,3,7]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>[1,2,4,5,3,7,6]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>[1,2,4,5,7,3,6]
[[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>[1,2,4,5,3,6,7]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[1,2,4,3,6,7,5]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>[1,2,4,3,6,5,7]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>[1,2,4,6,3,7,5]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[1,2,4,3,5,7,6]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[1,2,4,6,7,3,5]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>[1,2,4,6,3,5,7]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>[1,2,4,3,7,5,6]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>[1,2,4,7,3,5,6]
[[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>[1,2,4,3,5,6,7]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[6,5,1,7,4,3,2]=>[2,3,7,1,4,5,6]=>[3,4,1,5,6,7,2]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[6,5,1,7,4,2,3]=>[2,3,7,1,4,6,5]=>[3,4,1,5,6,2,7]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[6,5,1,7,2,4,3]=>[2,3,7,1,6,4,5]=>[3,4,1,5,2,7,6]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[6,5,1,7,3,2,4]=>[2,3,7,1,5,6,4]=>[3,4,1,5,7,2,6]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[6,5,1,7,2,3,4]=>[2,3,7,1,6,5,4]=>[3,4,1,5,2,6,7]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[6,1,2,7,5,4,3]=>[2,7,6,1,3,4,5]=>[3,1,2,5,6,7,4]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[6,1,2,7,5,3,4]=>[2,7,6,1,3,5,4]=>[3,1,2,5,6,4,7]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[6,1,2,7,3,5,4]=>[2,7,6,1,5,3,4]=>[3,1,2,5,4,7,6]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[6,1,2,7,4,3,5]=>[2,7,6,1,4,5,3]=>[3,1,2,5,7,4,6]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[6,1,2,7,3,4,5]=>[2,7,6,1,5,4,3]=>[3,1,2,5,4,6,7]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>[1,4,2,5,6,7,3]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>[1,4,2,5,6,3,7]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>[1,4,2,5,3,7,6]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>[1,4,2,5,7,3,6]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>[1,4,2,5,3,6,7]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[5,1,2,7,6,4,3]=>[3,7,6,1,2,4,5]=>[4,1,2,5,6,7,3]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[5,1,2,7,6,3,4]=>[3,7,6,1,2,5,4]=>[4,1,2,5,6,3,7]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[5,1,2,7,3,6,4]=>[3,7,6,1,5,2,4]=>[4,1,2,5,3,7,6]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[4,1,2,5,7,3,6]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[5,1,2,7,3,4,6]=>[3,7,6,1,5,4,2]=>[4,1,2,5,3,6,7]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[1,2,3,5,6,7,4]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>[1,2,3,5,6,4,7]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[1,2,3,5,4,7,6]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>[1,2,3,5,7,4,6]
[[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>[1,2,3,5,4,6,7]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[6,5,4,1,7,3,2]=>[2,3,4,7,1,5,6]=>[3,4,5,1,6,7,2]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[6,5,4,1,7,2,3]=>[2,3,4,7,1,6,5]=>[3,4,5,1,6,2,7]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[6,5,1,2,7,4,3]=>[2,3,7,6,1,4,5]=>[3,4,1,2,6,7,5]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[6,5,1,2,7,3,4]=>[2,3,7,6,1,5,4]=>[3,4,1,2,6,5,7]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[6,1,5,2,7,4,3]=>[2,7,3,6,1,4,5]=>[3,1,5,2,6,7,4]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[6,1,5,2,7,3,4]=>[2,7,3,6,1,5,4]=>[3,1,5,2,6,4,7]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[6,4,1,2,7,5,3]=>[2,4,7,6,1,3,5]=>[3,5,1,2,6,7,4]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[6,4,1,2,7,3,5]=>[2,4,7,6,1,5,3]=>[3,5,1,2,6,4,7]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[6,1,2,3,7,5,4]=>[2,7,6,5,1,3,4]=>[3,1,2,4,6,7,5]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[6,1,2,3,7,4,5]=>[2,7,6,5,1,4,3]=>[3,1,2,4,6,5,7]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>[1,4,5,2,6,7,3]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>[1,4,5,2,6,3,7]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>[1,4,2,3,6,7,5]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>[1,4,2,3,6,5,7]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[5,1,6,2,7,4,3]=>[3,7,2,6,1,4,5]=>[4,1,5,2,6,7,3]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[5,1,6,2,7,3,4]=>[3,7,2,6,1,5,4]=>[4,1,5,2,6,3,7]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>[1,2,5,3,6,7,4]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>[1,2,5,3,6,4,7]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[5,4,1,2,7,6,3]=>[3,4,7,6,1,2,5]=>[4,5,1,2,6,7,3]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[5,4,1,2,7,3,6]=>[3,4,7,6,1,5,2]=>[4,5,1,2,6,3,7]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[5,1,2,3,7,6,4]=>[3,7,6,5,1,2,4]=>[4,1,2,3,6,7,5]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[5,1,2,3,7,4,6]=>[3,7,6,5,1,4,2]=>[4,1,2,3,6,5,7]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>[1,5,2,3,6,7,4]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>[1,5,2,3,6,4,7]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[5,1,2,3,6,7,4]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[4,1,2,3,7,5,6]=>[4,7,6,5,1,3,2]=>[5,1,2,3,6,4,7]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[1,2,3,4,6,7,5]
[[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>[1,2,3,4,6,5,7]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[6,5,4,3,1,7,2]=>[2,3,4,5,7,1,6]=>[3,4,5,6,1,7,2]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[6,5,4,1,2,7,3]=>[2,3,4,7,6,1,5]=>[3,4,5,1,2,7,6]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[6,5,1,4,2,7,3]=>[2,3,7,4,6,1,5]=>[3,4,1,6,2,7,5]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[6,5,3,1,2,7,4]=>[2,3,5,7,6,1,4]=>[3,4,6,1,2,7,5]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[6,5,1,2,3,7,4]=>[2,3,7,6,5,1,4]=>[3,4,1,2,5,7,6]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[6,1,5,4,2,7,3]=>[2,7,3,4,6,1,5]=>[3,1,5,6,2,7,4]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[6,1,5,2,3,7,4]=>[2,7,3,6,5,1,4]=>[3,1,5,2,4,7,6]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[6,4,1,5,2,7,3]=>[2,4,7,3,6,1,5]=>[3,5,1,6,2,7,4]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[6,1,2,5,3,7,4]=>[2,7,6,3,5,1,4]=>[3,1,2,6,4,7,5]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[6,4,3,1,2,7,5]=>[2,4,5,7,6,1,3]=>[3,5,6,1,2,7,4]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[6,4,1,2,3,7,5]=>[2,4,7,6,5,1,3]=>[3,5,1,2,4,7,6]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[6,1,4,2,3,7,5]=>[2,7,4,6,5,1,3]=>[3,1,6,2,4,7,5]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[6,3,1,2,4,7,5]=>[2,5,7,6,4,1,3]=>[3,6,1,2,4,7,5]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[6,1,2,3,4,7,5]=>[2,7,6,5,4,1,3]=>[3,1,2,4,5,7,6]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>[1,4,5,6,2,7,3]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>[1,4,5,2,3,7,6]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>[1,4,2,6,3,7,5]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>[1,4,6,2,3,7,5]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>[1,4,2,3,5,7,6]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[4,1,5,6,2,7,3]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[5,1,6,2,3,7,4]=>[3,7,2,6,5,1,4]=>[4,1,5,2,3,7,6]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>[1,2,5,6,3,7,4]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>[1,2,5,3,4,7,6]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[5,4,1,6,2,7,3]=>[3,4,7,2,6,1,5]=>[4,5,1,6,2,7,3]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[5,1,2,6,3,7,4]=>[3,7,6,2,5,1,4]=>[4,1,2,6,3,7,5]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>[1,5,2,6,3,7,4]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[4,1,2,6,3,7,5]=>[4,7,6,2,5,1,3]=>[5,1,2,6,3,7,4]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>[1,2,3,6,4,7,5]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[4,5,6,1,2,7,3]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[4,5,1,2,3,7,6]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[4,1,6,2,3,7,5]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[4,6,1,2,3,7,5]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[4,1,2,3,5,7,6]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[1,5,6,2,3,7,4]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[1,5,2,3,4,7,6]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[4,1,5,2,3,7,6]=>[4,7,3,6,5,1,2]=>[5,1,6,2,3,7,4]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[1,2,6,3,4,7,5]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[5,6,1,2,3,7,4]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[5,1,2,3,4,7,6]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[1,6,2,3,4,7,5]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[6,1,2,3,4,7,5]
[[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[3,4,5,6,7,1,2]
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>[3,4,5,6,1,2,7]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[6,5,4,1,3,2,7]=>[2,3,4,7,5,6,1]=>[3,4,5,1,7,2,6]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>[3,4,5,7,1,2,6]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>[3,4,5,1,2,6,7]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>[3,4,1,6,7,2,5]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[6,5,1,4,2,3,7]=>[2,3,7,4,6,5,1]=>[3,4,1,6,2,5,7]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[6,5,3,1,4,2,7]=>[2,3,5,7,4,6,1]=>[3,4,6,1,7,2,5]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>[3,4,1,2,7,5,6]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>[3,4,6,7,1,2,5]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>[3,4,6,1,2,5,7]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[6,5,1,3,2,4,7]=>[2,3,7,5,6,4,1]=>[3,4,1,7,2,5,6]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[3,4,7,1,2,5,6]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[3,4,1,2,5,6,7]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>[3,1,5,6,7,2,4]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[6,1,5,4,2,3,7]=>[2,7,3,4,6,5,1]=>[3,1,5,6,2,4,7]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[6,1,5,2,4,3,7]=>[2,7,3,6,4,5,1]=>[3,1,5,2,7,4,6]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[6,1,5,3,2,4,7]=>[2,7,3,5,6,4,1]=>[3,1,5,7,2,4,6]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[6,1,5,2,3,4,7]=>[2,7,3,6,5,4,1]=>[3,1,5,2,4,6,7]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[6,4,1,5,3,2,7]=>[2,4,7,3,5,6,1]=>[3,5,1,6,7,2,4]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[6,4,1,5,2,3,7]=>[2,4,7,3,6,5,1]=>[3,5,1,6,2,4,7]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[3,1,2,6,7,4,5]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[6,1,2,5,3,4,7]=>[2,7,6,3,5,4,1]=>[3,1,2,6,4,5,7]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[6,4,3,1,5,2,7]=>[2,4,5,7,3,6,1]=>[3,5,6,1,7,2,4]
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[6,4,1,2,5,3,7]=>[2,4,7,6,3,5,1]=>[3,5,1,2,7,4,6]
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[6,1,4,2,5,3,7]=>[2,7,4,6,3,5,1]=>[3,1,6,2,7,4,5]
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[3,6,1,2,7,4,5]
[[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>[3,1,2,4,7,5,6]
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[3,5,6,7,1,2,4]
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[3,5,6,1,2,4,7]
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[6,4,1,3,2,5,7]=>[2,4,7,5,6,3,1]=>[3,5,1,7,2,4,6]
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[3,5,7,1,2,4,6]
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[3,5,1,2,4,6,7]
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[6,1,4,3,2,5,7]=>[2,7,4,5,6,3,1]=>[3,1,6,7,2,4,5]
[[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[6,1,4,2,3,5,7]=>[2,7,4,6,5,3,1]=>[3,1,6,2,4,5,7]
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[6,3,1,4,2,5,7]=>[2,5,7,4,6,3,1]=>[3,6,1,7,2,4,5]
[[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[6,1,2,4,3,5,7]=>[2,7,6,4,5,3,1]=>[3,1,2,7,4,5,6]
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[3,6,7,1,2,4,5]
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[3,6,1,2,4,5,7]
[[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[6,1,3,2,4,5,7]=>[2,7,5,6,4,3,1]=>[3,1,7,2,4,5,6]
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[3,7,1,2,4,5,6]
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[3,1,2,4,5,6,7]
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[1,4,5,6,7,2,3]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>[1,4,5,6,2,3,7]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>[1,4,5,2,7,3,6]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>[1,4,5,7,2,3,6]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>[1,4,5,2,3,6,7]
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[1,4,2,6,7,3,5]
[[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>[1,4,2,6,3,5,7]
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>[1,4,6,2,7,3,5]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>[1,4,2,3,7,5,6]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>[1,4,6,7,2,3,5]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>[1,4,6,2,3,5,7]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>[1,4,2,7,3,5,6]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>[1,4,7,2,3,5,6]
[[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>[1,4,2,3,5,6,7]
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[5,1,6,4,3,2,7]=>[3,7,2,4,5,6,1]=>[4,1,5,6,7,2,3]
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[5,1,6,4,2,3,7]=>[3,7,2,4,6,5,1]=>[4,1,5,6,2,3,7]
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[5,1,6,2,4,3,7]=>[3,7,2,6,4,5,1]=>[4,1,5,2,7,3,6]
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[5,1,6,3,2,4,7]=>[3,7,2,5,6,4,1]=>[4,1,5,7,2,3,6]
[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[5,1,6,2,3,4,7]=>[3,7,2,6,5,4,1]=>[4,1,5,2,3,6,7]
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[1,2,5,6,7,3,4]
[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>[1,2,5,6,3,4,7]
[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>[1,2,5,3,7,4,6]
[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>[1,2,5,7,3,4,6]
[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>[1,2,5,3,4,6,7]
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[5,4,1,6,3,2,7]=>[3,4,7,2,5,6,1]=>[4,5,1,6,7,2,3]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[5,4,1,6,2,3,7]=>[3,4,7,2,6,5,1]=>[4,5,1,6,2,3,7]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[5,1,2,6,4,3,7]=>[3,7,6,2,4,5,1]=>[4,1,2,6,7,3,5]
[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[5,1,2,6,3,4,7]=>[3,7,6,2,5,4,1]=>[4,1,2,6,3,5,7]
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>[1,5,2,6,7,3,4]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>[1,5,2,6,3,4,7]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[4,1,2,6,5,3,7]=>[4,7,6,2,3,5,1]=>[5,1,2,6,7,3,4]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[4,1,2,6,3,5,7]=>[4,7,6,2,5,3,1]=>[5,1,2,6,3,4,7]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[1,2,3,6,7,4,5]
[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>[1,2,3,6,4,5,7]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[5,4,3,1,6,2,7]=>[3,4,5,7,2,6,1]=>[4,5,6,1,7,2,3]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[5,4,1,2,6,3,7]=>[3,4,7,6,2,5,1]=>[4,5,1,2,7,3,6]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[5,1,4,2,6,3,7]=>[3,7,4,6,2,5,1]=>[4,1,6,2,7,3,5]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[5,3,1,2,6,4,7]=>[3,5,7,6,2,4,1]=>[4,6,1,2,7,3,5]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[5,1,2,3,6,4,7]=>[3,7,6,5,2,4,1]=>[4,1,2,3,7,5,6]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>[1,5,6,2,7,3,4]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>[1,5,2,3,7,4,6]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[4,1,5,2,6,3,7]=>[4,7,3,6,2,5,1]=>[5,1,6,2,7,3,4]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>[1,2,6,3,7,4,5]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[5,6,1,2,7,3,4]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[5,1,2,3,7,4,6]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[1,6,2,3,7,4,5]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[6,1,2,3,7,4,5]
[[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[1,2,3,4,7,5,6]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[4,5,6,7,1,2,3]
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>[4,5,6,1,2,3,7]
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[5,4,1,3,2,6,7]=>[3,4,7,5,6,2,1]=>[4,5,1,7,2,3,6]
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>[4,5,7,1,2,3,6]
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>[4,5,1,2,3,6,7]
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[5,1,4,3,2,6,7]=>[3,7,4,5,6,2,1]=>[4,1,6,7,2,3,5]
[[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[5,1,4,2,3,6,7]=>[3,7,4,6,5,2,1]=>[4,1,6,2,3,5,7]
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[5,3,1,4,2,6,7]=>[3,5,7,4,6,2,1]=>[4,6,1,7,2,3,5]
[[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[5,1,2,4,3,6,7]=>[3,7,6,4,5,2,1]=>[4,1,2,7,3,5,6]
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>[4,6,7,1,2,3,5]
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>[4,6,1,2,3,5,7]
[[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[5,1,3,2,4,6,7]=>[3,7,5,6,4,2,1]=>[4,1,7,2,3,5,6]
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>[4,7,1,2,3,5,6]
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[4,1,2,3,5,6,7]
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[1,5,6,7,2,3,4]
[[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>[1,5,6,2,3,4,7]
[[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>[1,5,2,7,3,4,6]
[[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>[1,5,7,2,3,4,6]
[[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>[1,5,2,3,4,6,7]
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[4,1,5,3,2,6,7]=>[4,7,3,5,6,2,1]=>[5,1,6,7,2,3,4]
[[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[4,1,5,2,3,6,7]=>[4,7,3,6,5,2,1]=>[5,1,6,2,3,4,7]
[[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[1,2,6,7,3,4,5]
[[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>[1,2,6,3,4,5,7]
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[4,3,1,5,2,6,7]=>[4,5,7,3,6,2,1]=>[5,6,1,7,2,3,4]
[[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[4,1,2,5,3,6,7]=>[4,7,6,3,5,2,1]=>[5,1,2,7,3,4,6]
[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>[1,6,2,7,3,4,5]
[[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[6,1,2,7,3,4,5]
[[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[1,2,3,7,4,5,6]
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[5,6,7,1,2,3,4]
[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>[5,6,1,2,3,4,7]
[[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[4,1,3,2,5,6,7]=>[4,7,5,6,3,2,1]=>[5,1,7,2,3,4,6]
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[5,7,1,2,3,4,6]
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[5,1,2,3,4,6,7]
[[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[1,6,7,2,3,4,5]
[[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>[1,6,2,3,4,5,7]
[[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[3,1,4,2,5,6,7]=>[5,7,4,6,3,2,1]=>[6,1,7,2,3,4,5]
[[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[1,2,7,3,4,5,6]
[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[6,7,1,2,3,4,5]
[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[6,1,2,3,4,5,7]
[[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[1,7,2,3,4,5,6]
[[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[7,1,2,3,4,5,6]
[[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,7,1,8]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[8,6,7,5,4,3,2,1]=>[8,7,6,5,4,1,3,2]=>[1,2,3,4,5,8,6,7]=>[2,3,4,5,6,1,8,7]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[8,7,6,5,4,2,1,3]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,6,8,1,7]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,6,1,7,8]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[8,7,5,6,4,3,2,1]=>[8,7,6,5,1,4,3,2]=>[1,2,3,4,8,5,6,7]=>[2,3,4,5,1,7,8,6]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[7,8,5,6,4,3,2,1]=>[8,7,6,5,1,4,2,3]=>[1,2,3,4,8,5,7,6]=>[2,3,4,5,1,7,6,8]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[8,6,5,7,4,3,2,1]=>[8,7,6,5,3,1,4,2]=>[1,2,3,4,6,8,5,7]=>[2,3,4,5,7,1,8,6]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[8,5,6,7,4,3,2,1]=>[8,7,6,5,1,2,4,3]=>[1,2,3,4,8,7,5,6]=>[2,3,4,5,1,6,8,7]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[8,7,6,5,3,2,1,4]=>[1,2,3,4,6,7,8,5]=>[2,3,4,5,7,8,1,6]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[8,7,6,5,3,1,2,4]=>[1,2,3,4,6,8,7,5]=>[2,3,4,5,7,1,6,8]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[7,5,6,8,4,3,2,1]=>[8,7,6,5,1,3,2,4]=>[1,2,3,4,8,6,7,5]=>[2,3,4,5,1,8,6,7]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[8,7,6,5,2,1,3,4]=>[1,2,3,4,7,8,6,5]=>[2,3,4,5,8,1,6,7]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[8,7,6,5,1,2,3,4]=>[1,2,3,4,8,7,6,5]=>[2,3,4,5,1,6,7,8]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[8,7,6,4,5,3,2,1]=>[8,7,6,1,5,4,3,2]=>[1,2,3,8,4,5,6,7]=>[2,3,4,1,6,7,8,5]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[8,6,7,4,5,3,2,1]=>[8,7,6,1,5,2,4,3]=>[1,2,3,8,4,7,5,6]=>[2,3,4,1,6,5,8,7]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[7,6,8,4,5,3,2,1]=>[8,7,6,1,5,3,2,4]=>[1,2,3,8,4,6,7,5]=>[2,3,4,1,6,8,5,7]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[8,7,5,4,6,3,2,1]=>[8,7,6,4,1,5,3,2]=>[1,2,3,5,8,4,6,7]=>[2,3,4,6,1,7,8,5]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[8,6,5,4,7,3,2,1]=>[8,7,6,4,3,1,5,2]=>[1,2,3,5,6,8,4,7]=>[2,3,4,6,7,1,8,5]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[8,5,6,4,7,3,2,1]=>[8,7,6,4,1,2,5,3]=>[1,2,3,5,8,7,4,6]=>[2,3,4,6,1,5,8,7]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[8,6,4,5,7,3,2,1]=>[8,7,6,1,4,2,5,3]=>[1,2,3,8,5,7,4,6]=>[2,3,4,1,7,5,8,6]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[8,7,6,4,3,2,1,5]=>[1,2,3,5,6,7,8,4]=>[2,3,4,6,7,8,1,5]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[8,7,6,4,3,1,2,5]=>[1,2,3,5,6,8,7,4]=>[2,3,4,6,7,1,5,8]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[7,5,6,4,8,3,2,1]=>[8,7,6,4,1,3,2,5]=>[1,2,3,5,8,6,7,4]=>[2,3,4,6,1,8,5,7]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[8,7,6,4,2,1,3,5]=>[1,2,3,5,7,8,6,4]=>[2,3,4,6,8,1,5,7]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[8,7,6,4,1,2,3,5]=>[1,2,3,5,8,7,6,4]=>[2,3,4,6,1,5,7,8]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[7,6,4,5,8,3,2,1]=>[8,7,6,1,4,3,2,5]=>[1,2,3,8,5,6,7,4]=>[2,3,4,1,7,8,5,6]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[6,7,4,5,8,3,2,1]=>[8,7,6,1,4,2,3,5]=>[1,2,3,8,5,7,6,4]=>[2,3,4,1,7,5,6,8]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[7,5,4,6,8,3,2,1]=>[8,7,6,3,1,4,2,5]=>[1,2,3,6,8,5,7,4]=>[2,3,4,7,1,8,5,6]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[7,4,5,6,8,3,2,1]=>[8,7,6,1,2,4,3,5]=>[1,2,3,8,7,5,6,4]=>[2,3,4,1,5,8,6,7]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[8,7,6,3,2,1,4,5]=>[1,2,3,6,7,8,5,4]=>[2,3,4,7,8,1,5,6]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[8,7,6,3,1,2,4,5]=>[1,2,3,6,8,7,5,4]=>[2,3,4,7,1,5,6,8]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[6,4,5,7,8,3,2,1]=>[8,7,6,1,3,2,4,5]=>[1,2,3,8,6,7,5,4]=>[2,3,4,1,8,5,6,7]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[8,7,6,2,1,3,4,5]=>[1,2,3,7,8,6,5,4]=>[2,3,4,8,1,5,6,7]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[8,7,6,1,2,3,4,5]=>[1,2,3,8,7,6,5,4]=>[2,3,4,1,5,6,7,8]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,3,4,2,1]=>[8,7,1,6,5,4,3,2]=>[1,2,8,3,4,5,6,7]=>[2,3,1,5,6,7,8,4]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,3,4,2,1]=>[8,7,1,6,5,4,2,3]=>[1,2,8,3,4,5,7,6]=>[2,3,1,5,6,7,4,8]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,3,4,2,1]=>[8,7,1,6,5,3,2,4]=>[1,2,8,3,4,6,7,5]=>[2,3,1,5,6,8,4,7]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[8,7,1,6,2,5,4,3]=>[1,2,8,3,7,4,5,6]=>[2,3,1,5,4,7,8,6]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[8,5,6,7,3,4,2,1]=>[8,7,1,6,2,3,5,4]=>[1,2,8,3,7,6,4,5]=>[2,3,1,5,4,6,8,7]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,3,4,2,1]=>[8,7,1,6,4,3,2,5]=>[1,2,8,3,5,6,7,4]=>[2,3,1,5,7,8,4,6]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[6,7,5,8,3,4,2,1]=>[8,7,1,6,4,2,3,5]=>[1,2,8,3,5,7,6,4]=>[2,3,1,5,7,4,6,8]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[8,7,1,6,2,3,4,5]=>[1,2,8,3,7,6,5,4]=>[2,3,1,5,4,6,7,8]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[8,7,6,4,3,5,2,1]=>[8,7,5,1,6,4,3,2]=>[1,2,4,8,3,5,6,7]=>[2,3,5,1,6,7,8,4]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[7,8,6,4,3,5,2,1]=>[8,7,5,1,6,4,2,3]=>[1,2,4,8,3,5,7,6]=>[2,3,5,1,6,7,4,8]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[7,6,8,4,3,5,2,1]=>[8,7,5,1,6,3,2,4]=>[1,2,4,8,3,6,7,5]=>[2,3,5,1,6,8,4,7]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[6,7,8,4,3,5,2,1]=>[8,7,5,1,6,2,3,4]=>[1,2,4,8,3,7,6,5]=>[2,3,5,1,6,4,7,8]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[8,7,6,3,4,5,2,1]=>[8,7,1,2,6,5,4,3]=>[1,2,8,7,3,4,5,6]=>[2,3,1,4,6,7,8,5]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[6,7,8,3,4,5,2,1]=>[8,7,1,2,6,3,4,5]=>[1,2,8,7,3,6,5,4]=>[2,3,1,4,6,5,7,8]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[8,7,5,4,3,6,2,1]=>[8,7,5,4,1,6,3,2]=>[1,2,4,5,8,3,6,7]=>[2,3,5,6,1,7,8,4]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[7,8,5,4,3,6,2,1]=>[8,7,5,4,1,6,2,3]=>[1,2,4,5,8,3,7,6]=>[2,3,5,6,1,7,4,8]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[7,8,5,3,4,6,2,1]=>[8,7,1,5,2,6,3,4]=>[1,2,8,4,7,3,6,5]=>[2,3,1,6,4,7,5,8]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[8,7,4,3,5,6,2,1]=>[8,7,4,1,2,6,5,3]=>[1,2,5,8,7,3,4,6]=>[2,3,6,1,4,7,8,5]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[7,5,6,4,3,8,2,1]=>[8,7,5,4,1,3,2,6]=>[1,2,4,5,8,6,7,3]=>[2,3,5,6,1,8,4,7]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[8,7,5,2,1,3,4,6]=>[1,2,4,7,8,6,5,3]=>[2,3,5,8,1,4,6,7]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[8,7,5,1,2,3,4,6]=>[1,2,4,8,7,6,5,3]=>[2,3,5,1,4,6,7,8]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[7,5,4,3,6,8,2,1]=>[8,7,4,3,1,5,2,6]=>[1,2,5,6,8,4,7,3]=>[2,3,6,7,1,8,4,5]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[8,7,4,3,2,1,5,6]=>[1,2,5,6,7,8,4,3]=>[2,3,6,7,8,1,4,5]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,2,3,1]=>[8,1,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[2,1,4,5,6,7,8,3]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,2,3,1]=>[8,1,7,6,5,3,2,4]=>[1,8,2,3,4,6,7,5]=>[2,1,4,5,6,8,3,7]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,2,3,1]=>[8,1,7,6,4,3,2,5]=>[1,8,2,3,5,6,7,4]=>[2,1,4,5,7,8,3,6]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[8,1,7,6,2,3,4,5]=>[1,8,2,3,7,6,5,4]=>[2,1,4,5,3,6,7,8]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,2,3,1]=>[8,1,7,2,6,5,4,3]=>[1,8,2,7,3,4,5,6]=>[2,1,4,3,6,7,8,5]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[8,1,7,2,6,3,5,4]=>[1,8,2,7,3,6,4,5]=>[2,1,4,3,6,5,8,7]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[6,7,8,4,5,2,3,1]=>[8,1,7,2,6,3,4,5]=>[1,8,2,7,3,6,5,4]=>[2,1,4,3,6,5,7,8]
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[8,7,4,5,6,2,3,1]=>[8,1,7,2,3,6,5,4]=>[1,8,2,7,6,3,4,5]=>[2,1,4,3,5,7,8,6]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,2,3,1]=>[8,1,7,2,5,3,6,4]=>[1,8,2,7,4,6,3,5]=>[2,1,4,3,7,5,8,6]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,2,3,1]=>[8,1,7,5,2,4,3,6]=>[1,8,2,4,7,5,6,3]=>[2,1,4,6,3,8,5,7]
[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,2,3,1]=>[8,1,7,2,3,4,5,6]=>[1,8,2,7,6,5,4,3]=>[2,1,4,3,5,6,7,8]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,2,4,1]=>[8,6,1,7,5,4,3,2]=>[1,3,8,2,4,5,6,7]=>[2,4,1,5,6,7,8,3]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,2,4,1]=>[8,6,1,7,5,4,2,3]=>[1,3,8,2,4,5,7,6]=>[2,4,1,5,6,7,3,8]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,2,4,1]=>[8,6,1,7,5,2,3,4]=>[1,3,8,2,4,7,6,5]=>[2,4,1,5,6,3,7,8]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[8,6,1,7,4,2,5,3]=>[1,3,8,2,5,7,4,6]=>[2,4,1,5,7,3,8,6]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,2,4,1]=>[8,6,1,7,2,3,5,4]=>[1,3,8,2,7,6,4,5]=>[2,4,1,5,3,6,8,7]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,2,4,1]=>[8,6,1,7,4,3,2,5]=>[1,3,8,2,5,6,7,4]=>[2,4,1,5,7,8,3,6]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,2,4,1]=>[8,6,1,7,4,2,3,5]=>[1,3,8,2,5,7,6,4]=>[2,4,1,5,7,3,6,8]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[8,6,1,7,2,3,4,5]=>[1,3,8,2,7,6,5,4]=>[2,4,1,5,3,6,7,8]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,2,3,4,1]=>[8,1,2,7,6,5,4,3]=>[1,8,7,2,3,4,5,6]=>[2,1,3,5,6,7,8,4]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,2,3,4,1]=>[8,1,2,7,6,3,5,4]=>[1,8,7,2,3,6,4,5]=>[2,1,3,5,6,4,8,7]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,2,3,4,1]=>[8,1,2,7,6,3,4,5]=>[1,8,7,2,3,6,5,4]=>[2,1,3,5,6,4,7,8]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,2,3,4,1]=>[8,1,2,7,3,6,4,5]=>[1,8,7,2,6,3,5,4]=>[2,1,3,5,4,7,6,8]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,2,3,4,1]=>[8,1,2,7,5,3,6,4]=>[1,8,7,2,4,6,3,5]=>[2,1,3,5,7,4,8,6]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,2,3,4,1]=>[8,1,2,7,5,4,3,6]=>[1,8,7,2,4,5,6,3]=>[2,1,3,5,7,8,4,6]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[8,1,2,7,3,4,5,6]=>[1,8,7,2,6,5,4,3]=>[2,1,3,5,4,6,7,8]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,2,5,1]=>[8,6,5,1,7,4,3,2]=>[1,3,4,8,2,5,6,7]=>[2,4,5,1,6,7,8,3]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[6,7,8,4,3,2,5,1]=>[8,6,5,1,7,2,3,4]=>[1,3,4,8,2,7,6,5]=>[2,4,5,1,6,3,7,8]
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[7,6,8,4,2,3,5,1]=>[8,1,6,2,7,4,3,5]=>[1,8,3,7,2,5,6,4]=>[2,1,5,3,6,8,4,7]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[6,7,8,3,2,4,5,1]=>[8,5,1,2,7,3,4,6]=>[1,4,8,7,2,6,5,3]=>[2,5,1,3,6,4,7,8]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[8,7,6,2,3,4,5,1]=>[8,1,2,3,7,6,5,4]=>[1,8,7,6,2,3,4,5]=>[2,1,3,4,6,7,8,5]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[6,7,8,2,3,4,5,1]=>[8,1,2,3,7,4,5,6]=>[1,8,7,6,2,5,4,3]=>[2,1,3,4,6,5,7,8]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[8,7,5,3,4,2,6,1]=>[8,6,1,5,2,7,4,3]=>[1,3,8,4,7,2,5,6]=>[2,4,1,6,3,7,8,5]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[7,8,5,3,4,2,6,1]=>[8,6,1,5,2,7,3,4]=>[1,3,8,4,7,2,6,5]=>[2,4,1,6,3,7,5,8]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[7,8,4,3,2,5,6,1]=>[8,5,4,1,2,7,3,6]=>[1,4,5,8,7,2,6,3]=>[2,5,6,1,3,7,4,8]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[7,8,3,2,4,5,6,1]=>[8,4,1,2,3,7,5,6]=>[1,5,8,7,6,2,4,3]=>[2,6,1,3,4,7,5,8]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[8,6,4,3,5,2,7,1]=>[8,6,4,1,5,2,7,3]=>[1,3,5,8,4,7,2,6]=>[2,4,6,1,7,3,8,5]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[8,6,3,4,5,2,7,1]=>[8,6,1,2,5,3,7,4]=>[1,3,8,7,4,6,2,5]=>[2,4,1,3,7,5,8,6]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[8,4,5,3,6,2,7,1]=>[8,6,4,1,2,3,7,5]=>[1,3,5,8,7,6,2,4]=>[2,4,6,1,3,5,8,7]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[8,5,6,4,2,3,7,1]=>[8,1,6,5,2,3,7,4]=>[1,8,3,4,7,6,2,5]=>[2,1,5,6,3,4,8,7]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[8,6,5,1,2,3,4,7]=>[1,3,4,8,7,6,5,2]=>[2,4,5,1,3,6,7,8]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[6,5,7,3,4,2,8,1]=>[8,6,1,5,3,2,4,7]=>[1,3,8,4,6,7,5,2]=>[2,4,1,6,8,3,5,7]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[8,6,4,3,2,1,5,7]=>[1,3,5,6,7,8,4,2]=>[2,4,6,7,8,1,3,5]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[8,6,4,2,1,3,5,7]=>[1,3,5,7,8,6,4,2]=>[2,4,6,8,1,3,5,7]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[8,6,4,1,2,3,5,7]=>[1,3,5,8,7,6,4,2]=>[2,4,6,1,3,5,7,8]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[6,5,3,4,7,2,8,1]=>[8,6,1,4,3,2,5,7]=>[1,3,8,5,6,7,4,2]=>[2,4,1,7,8,3,5,6]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[5,6,3,4,7,2,8,1]=>[8,6,1,4,2,3,5,7]=>[1,3,8,5,7,6,4,2]=>[2,4,1,7,3,5,6,8]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[8,6,3,2,1,4,5,7]=>[1,3,6,7,8,5,4,2]=>[2,4,7,8,1,3,5,6]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,2,3,8,1]=>[8,1,6,5,3,2,4,7]=>[1,8,3,4,6,7,5,2]=>[2,1,5,6,8,3,4,7]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,2,3,8,1]=>[8,1,6,2,3,5,4,7]=>[1,8,3,7,6,4,5,2]=>[2,1,5,3,4,8,6,7]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,2,3,8,1]=>[8,1,6,4,2,3,5,7]=>[1,8,3,5,7,6,4,2]=>[2,1,5,7,3,4,6,8]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,2,3,8,1]=>[8,1,6,2,4,3,5,7]=>[1,8,3,7,5,6,4,2]=>[2,1,5,3,8,4,6,7]
[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[4,5,6,7,2,3,8,1]=>[8,1,6,2,3,4,5,7]=>[1,8,3,7,6,5,4,2]=>[2,1,5,3,4,6,7,8]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[6,7,5,3,2,4,8,1]=>[8,5,1,6,4,2,3,7]=>[1,4,8,3,5,7,6,2]=>[2,5,1,6,7,3,4,8]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[6,5,7,3,2,4,8,1]=>[8,5,1,6,3,2,4,7]=>[1,4,8,3,6,7,5,2]=>[2,5,1,6,8,3,4,7]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[7,6,5,2,3,4,8,1]=>[8,1,2,6,5,4,3,7]=>[1,8,7,3,4,5,6,2]=>[2,1,3,6,7,8,4,5]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[8,5,4,2,1,3,6,7]=>[1,4,5,7,8,6,3,2]=>[2,5,6,8,1,3,4,7]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[8,5,3,2,1,4,6,7]=>[1,4,6,7,8,5,3,2]=>[2,5,7,8,1,3,4,6]
[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[8,5,1,2,3,4,6,7]=>[1,4,8,7,6,5,3,2]=>[2,5,1,3,4,6,7,8]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[6,5,4,2,3,7,8,1]=>[8,1,5,4,3,2,6,7]=>[1,8,4,5,6,7,3,2]=>[2,1,6,7,8,3,4,5]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[5,4,6,2,3,7,8,1]=>[8,1,5,3,2,4,6,7]=>[1,8,4,6,7,5,3,2]=>[2,1,6,8,3,4,5,7]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[6,5,2,3,4,7,8,1]=>[8,1,2,5,4,3,6,7]=>[1,8,7,4,5,6,3,2]=>[2,1,3,7,8,4,5,6]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[8,4,3,2,1,5,6,7]=>[1,5,6,7,8,4,3,2]=>[2,6,7,8,1,3,4,5]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[5,4,2,3,6,7,8,1]=>[8,1,4,3,2,5,6,7]=>[1,8,5,6,7,4,3,2]=>[2,1,7,8,3,4,5,6]
[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[5,2,3,4,6,7,8,1]=>[8,1,2,4,3,5,6,7]=>[1,8,7,5,6,4,3,2]=>[2,1,3,8,4,5,6,7]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[8,3,2,1,4,5,6,7]=>[1,6,7,8,5,4,3,2]=>[2,7,8,1,3,4,5,6]
[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[8,3,1,2,4,5,6,7]=>[1,6,8,7,5,4,3,2]=>[2,7,1,3,4,5,6,8]
[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[8,2,1,3,4,5,6,7]=>[1,7,8,6,5,4,3,2]=>[2,8,1,3,4,5,6,7]
[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[2,1,3,4,5,6,7,8]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,3,1,2]=>[1,8,7,6,2,5,4,3]=>[8,1,2,3,7,4,5,6]=>[1,3,4,5,2,7,8,6]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,3,1,2]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>[1,3,4,5,7,8,2,6]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,3,1,2]=>[1,8,7,6,4,2,3,5]=>[8,1,2,3,5,7,6,4]=>[1,3,4,5,7,2,6,8]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,3,1,2]=>[1,8,7,6,2,4,3,5]=>[8,1,2,3,7,5,6,4]=>[1,3,4,5,2,8,6,7]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[1,8,7,6,2,3,4,5]=>[8,1,2,3,7,6,5,4]=>[1,3,4,5,2,6,7,8]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,3,1,2]=>[1,8,7,2,6,3,5,4]=>[8,1,2,7,3,6,4,5]=>[1,3,4,2,6,5,8,7]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,3,1,2]=>[1,8,7,5,2,6,4,3]=>[8,1,2,4,7,3,5,6]=>[1,3,4,6,2,7,8,5]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,3,1,2]=>[1,8,7,2,3,6,4,5]=>[8,1,2,7,6,3,5,4]=>[1,3,4,2,5,7,6,8]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,3,1,2]=>[1,8,7,5,3,2,4,6]=>[8,1,2,4,6,7,5,3]=>[1,3,4,6,8,2,5,7]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,3,1,2]=>[1,8,7,2,5,4,3,6]=>[8,1,2,7,4,5,6,3]=>[1,3,4,2,7,8,5,6]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,3,1,2]=>[1,8,7,2,5,3,4,6]=>[8,1,2,7,4,6,5,3]=>[1,3,4,2,7,5,6,8]
[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,3,1,2]=>[1,8,7,2,3,4,5,6]=>[8,1,2,7,6,5,4,3]=>[1,3,4,2,5,6,7,8]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,4,1,2]=>[1,8,2,7,6,3,4,5]=>[8,1,7,2,3,6,5,4]=>[1,3,2,5,6,4,7,8]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,4,1,2]=>[1,8,2,7,3,6,5,4]=>[8,1,7,2,6,3,4,5]=>[1,3,2,5,4,7,8,6]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>[1,3,2,5,4,7,6,8]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,4,1,2]=>[1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>[1,3,2,5,7,8,4,6]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,4,1,2]=>[1,8,2,7,5,3,4,6]=>[8,1,7,2,4,6,5,3]=>[1,3,2,5,7,4,6,8]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,4,1,2]=>[1,8,2,7,3,5,4,6]=>[8,1,7,2,6,4,5,3]=>[1,3,2,5,4,8,6,7]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[1,8,2,7,4,3,5,6]=>[8,1,7,2,5,6,4,3]=>[1,3,2,5,8,4,6,7]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>[1,3,2,5,4,6,7,8]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[8,7,6,3,4,5,1,2]=>[1,8,2,3,7,6,5,4]=>[8,1,7,6,2,3,4,5]=>[1,3,2,4,6,7,8,5]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[7,8,5,3,4,6,1,2]=>[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>[1,3,2,6,4,7,5,8]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[8,7,4,3,5,6,1,2]=>[1,8,5,2,3,7,6,4]=>[8,1,4,7,6,2,3,5]=>[1,3,6,2,4,7,8,5]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[1,8,5,2,3,7,4,6]=>[8,1,4,7,6,2,5,3]=>[1,3,6,2,4,7,5,8]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[8,5,4,3,6,7,1,2]=>[1,8,5,4,2,3,7,6]=>[8,1,4,5,7,6,2,3]=>[1,3,6,7,2,4,8,5]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,3,8,1,2]=>[1,8,6,2,5,3,4,7]=>[8,1,3,7,4,6,5,2]=>[1,3,5,2,7,4,6,8]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,3,8,1,2]=>[1,8,6,4,2,3,5,7]=>[8,1,3,5,7,6,4,2]=>[1,3,5,7,2,4,6,8]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,3,8,1,2]=>[1,8,6,3,2,4,5,7]=>[8,1,3,6,7,5,4,2]=>[1,3,5,8,2,4,6,7]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[7,5,6,3,4,8,1,2]=>[1,8,2,6,3,5,4,7]=>[8,1,7,3,6,4,5,2]=>[1,3,2,6,4,8,5,7]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[7,6,3,4,5,8,1,2]=>[1,8,2,3,6,5,4,7]=>[8,1,7,6,3,4,5,2]=>[1,3,2,4,7,8,5,6]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[7,5,3,4,6,8,1,2]=>[1,8,2,5,3,6,4,7]=>[8,1,7,4,6,3,5,2]=>[1,3,2,7,4,8,5,6]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[6,5,4,3,7,8,1,2]=>[1,8,5,4,3,2,6,7]=>[8,1,4,5,6,7,3,2]=>[1,3,6,7,8,2,4,5]
[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[5,6,3,4,7,8,1,2]=>[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>[1,3,2,7,4,5,6,8]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[6,4,3,5,7,8,1,2]=>[1,8,4,2,5,3,6,7]=>[8,1,5,7,4,6,3,2]=>[1,3,7,2,8,4,5,6]
[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[6,3,4,5,7,8,1,2]=>[1,8,2,3,5,4,6,7]=>[8,1,7,6,4,5,3,2]=>[1,3,2,4,8,5,6,7]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>[1,3,7,8,2,4,5,6]
[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[5,3,4,6,7,8,1,2]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>[1,3,2,8,4,5,6,7]
[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[4,3,5,6,7,8,1,2]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>[1,3,8,2,4,5,6,7]
[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>[1,3,2,4,5,6,7,8]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[7,1,8,6,5,4,3,2]=>[2,8,1,3,4,5,6,7]=>[3,1,4,5,6,7,8,2]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,2,1,3]=>[7,1,8,6,2,5,4,3]=>[2,8,1,3,7,4,5,6]=>[3,1,4,5,2,7,8,6]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,2,1,3]=>[7,1,8,6,4,3,2,5]=>[2,8,1,3,5,6,7,4]=>[3,1,4,5,7,8,2,6]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[7,1,8,6,2,3,4,5]=>[2,8,1,3,7,6,5,4]=>[3,1,4,5,2,6,7,8]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[7,6,8,4,5,2,1,3]=>[7,1,8,2,6,4,3,5]=>[2,8,1,7,3,5,6,4]=>[3,1,4,2,6,8,5,7]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,2,1,3]=>[7,1,8,2,3,6,5,4]=>[2,8,1,7,6,3,4,5]=>[3,1,4,2,5,7,8,6]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,2,1,3]=>[7,1,8,5,4,2,3,6]=>[2,8,1,4,5,7,6,3]=>[3,1,4,6,7,2,5,8]
[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,2,1,3]=>[7,1,8,2,3,4,5,6]=>[2,8,1,7,6,5,4,3]=>[3,1,4,2,5,6,7,8]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,1,2,3]=>[1,2,8,7,3,4,6,5]=>[8,7,1,2,6,5,3,4]=>[1,2,4,5,3,6,8,7]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,1,2,3]=>[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>[1,2,4,5,7,8,3,6]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>[1,2,4,5,3,6,7,8]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,1,2,3]=>[1,2,8,6,3,7,5,4]=>[8,7,1,3,6,2,4,5]=>[1,2,4,6,3,7,8,5]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,1,2,3]=>[1,2,8,6,5,4,3,7]=>[8,7,1,3,4,5,6,2]=>[1,2,4,6,7,8,3,5]
[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,1,2,3]=>[1,2,8,6,3,4,5,7]=>[8,7,1,3,6,5,4,2]=>[1,2,4,6,3,5,7,8]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[1,2,8,5,4,3,6,7]=>[8,7,1,4,5,6,3,2]=>[1,2,4,7,8,3,5,6]
[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,1,2,3]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>[1,2,4,8,3,5,6,7]
[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>[1,2,4,3,5,6,7,8]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,2,1,4]=>[7,6,1,8,5,4,3,2]=>[2,3,8,1,4,5,6,7]=>[3,4,1,5,6,7,8,2]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,2,1,4]=>[7,6,1,8,5,4,2,3]=>[2,3,8,1,4,5,7,6]=>[3,4,1,5,6,7,2,8]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,2,1,4]=>[7,6,1,8,5,2,3,4]=>[2,3,8,1,4,7,6,5]=>[3,4,1,5,6,2,7,8]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,2,1,4]=>[7,6,1,8,4,2,5,3]=>[2,3,8,1,5,7,4,6]=>[3,4,1,5,7,2,8,6]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,2,1,4]=>[7,6,1,8,2,3,5,4]=>[2,3,8,1,7,6,4,5]=>[3,4,1,5,2,6,8,7]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[7,6,1,8,4,3,2,5]=>[2,3,8,1,5,6,7,4]=>[3,4,1,5,7,8,2,6]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,2,1,4]=>[7,6,1,8,4,2,3,5]=>[2,3,8,1,5,7,6,4]=>[3,4,1,5,7,2,6,8]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,2,1,4]=>[7,6,1,8,3,2,4,5]=>[2,3,8,1,6,7,5,4]=>[3,4,1,5,8,2,6,7]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[7,6,1,8,2,3,4,5]=>[2,3,8,1,7,6,5,4]=>[3,4,1,5,2,6,7,8]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,3,1,4]=>[7,1,2,8,6,3,5,4]=>[2,8,7,1,3,6,4,5]=>[3,1,2,5,6,4,8,7]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,3,1,4]=>[7,1,2,8,6,4,3,5]=>[2,8,7,1,3,5,6,4]=>[3,1,2,5,6,8,4,7]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,3,1,4]=>[7,1,2,8,3,6,5,4]=>[2,8,7,1,6,3,4,5]=>[3,1,2,5,4,7,8,6]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,3,1,4]=>[7,1,2,8,3,6,4,5]=>[2,8,7,1,6,3,5,4]=>[3,1,2,5,4,7,6,8]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,3,1,4]=>[7,1,2,8,3,4,6,5]=>[2,8,7,1,6,5,3,4]=>[3,1,2,5,4,6,8,7]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,3,1,4]=>[7,1,2,8,5,4,3,6]=>[2,8,7,1,4,5,6,3]=>[3,1,2,5,7,8,4,6]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,3,1,4]=>[7,1,2,8,5,3,4,6]=>[2,8,7,1,4,6,5,3]=>[3,1,2,5,7,4,6,8]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[7,1,2,8,3,5,4,6]=>[2,8,7,1,6,4,5,3]=>[3,1,2,5,4,8,6,7]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[7,1,2,8,3,4,5,6]=>[2,8,7,1,6,5,4,3]=>[3,1,2,5,4,6,7,8]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,1,2,4]=>[1,7,2,8,6,5,3,4]=>[8,2,7,1,3,4,6,5]=>[1,4,2,5,6,7,3,8]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,1,2,4]=>[1,7,2,8,3,6,4,5]=>[8,2,7,1,6,3,5,4]=>[1,4,2,5,3,7,6,8]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,1,2,4]=>[1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>[1,4,2,5,7,8,3,6]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,1,2,4]=>[1,7,2,8,3,5,4,6]=>[8,2,7,1,6,4,5,3]=>[1,4,2,5,3,8,6,7]
[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>[1,4,2,5,3,6,7,8]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,1,3,4]=>[6,1,2,8,7,4,3,5]=>[3,8,7,1,2,5,6,4]=>[4,1,2,5,6,8,3,7]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[6,1,2,8,3,7,4,5]=>[3,8,7,1,6,2,5,4]=>[4,1,2,5,3,7,6,8]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,1,3,4]=>[6,1,2,8,3,4,7,5]=>[3,8,7,1,6,5,2,4]=>[4,1,2,5,3,6,8,7]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,1,3,4]=>[6,1,2,8,5,4,3,7]=>[3,8,7,1,4,5,6,2]=>[4,1,2,5,7,8,3,6]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,1,3,4]=>[6,1,2,8,5,3,4,7]=>[3,8,7,1,4,6,5,2]=>[4,1,2,5,7,3,6,8]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,1,3,4]=>[6,1,2,8,3,5,4,7]=>[3,8,7,1,6,4,5,2]=>[4,1,2,5,3,8,6,7]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[6,1,2,8,4,3,5,7]=>[3,8,7,1,5,6,4,2]=>[4,1,2,5,8,3,6,7]
[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[6,1,2,8,3,4,5,7]=>[3,8,7,1,6,5,4,2]=>[4,1,2,5,3,6,7,8]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[1,2,3,5,6,7,8,4]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>[1,2,3,5,6,7,4,8]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>[1,2,3,5,6,4,8,7]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>[1,2,3,5,6,8,4,7]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>[1,2,3,5,6,4,7,8]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>[1,2,3,5,4,7,8,6]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>[1,2,3,5,4,7,6,8]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[1,2,3,8,6,4,7,5]=>[8,7,6,1,3,5,2,4]=>[1,2,3,5,7,4,8,6]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>[1,2,3,5,4,6,8,7]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>[1,2,3,5,7,8,4,6]
[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>[1,2,3,5,7,4,6,8]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>[1,2,3,5,4,8,6,7]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>[1,2,3,5,8,4,6,7]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>[1,2,3,5,4,6,7,8]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>[3,4,5,1,6,7,8,2]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[7,8,6,4,3,2,1,5]=>[7,6,5,1,8,4,2,3]=>[2,3,4,8,1,5,7,6]=>[3,4,5,1,6,7,2,8]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[8,6,7,4,3,2,1,5]=>[7,6,5,1,8,2,4,3]=>[2,3,4,8,1,7,5,6]=>[3,4,5,1,6,2,8,7]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[7,6,8,4,3,2,1,5]=>[7,6,5,1,8,3,2,4]=>[2,3,4,8,1,6,7,5]=>[3,4,5,1,6,8,2,7]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[6,7,8,4,3,2,1,5]=>[7,6,5,1,8,2,3,4]=>[2,3,4,8,1,7,6,5]=>[3,4,5,1,6,2,7,8]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[8,7,6,3,4,2,1,5]=>[7,6,1,2,8,5,4,3]=>[2,3,8,7,1,4,5,6]=>[3,4,1,2,6,7,8,5]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,2,3,1,5]=>[7,1,6,2,8,5,4,3]=>[2,8,3,7,1,4,5,6]=>[3,1,5,2,6,7,8,4]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,2,3,1,5]=>[7,1,6,2,8,4,3,5]=>[2,8,3,7,1,5,6,4]=>[3,1,5,2,6,8,4,7]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,2,3,1,5]=>[7,1,6,2,8,3,4,5]=>[2,8,3,7,1,6,5,4]=>[3,1,5,2,6,4,7,8]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[8,7,6,3,2,4,1,5]=>[7,5,1,2,8,6,4,3]=>[2,4,8,7,1,3,5,6]=>[3,5,1,2,6,7,8,4]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[6,7,8,3,2,4,1,5]=>[7,5,1,2,8,3,4,6]=>[2,4,8,7,1,6,5,3]=>[3,5,1,2,6,4,7,8]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[8,7,6,2,3,4,1,5]=>[7,1,2,3,8,6,5,4]=>[2,8,7,6,1,3,4,5]=>[3,1,2,4,6,7,8,5]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[7,1,2,3,8,4,5,6]=>[2,8,7,6,1,5,4,3]=>[3,1,2,4,6,5,7,8]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,1,2,5]=>[1,7,6,2,8,5,4,3]=>[8,2,3,7,1,4,5,6]=>[1,4,5,2,6,7,8,3]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,3,1,2,5]=>[1,7,6,2,8,3,4,5]=>[8,2,3,7,1,6,5,4]=>[1,4,5,2,6,3,7,8]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[8,7,6,3,4,1,2,5]=>[1,7,2,3,8,6,5,4]=>[8,2,7,6,1,3,4,5]=>[1,4,2,3,6,7,8,5]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[6,1,7,2,8,5,4,3]=>[3,8,2,7,1,4,5,6]=>[4,1,5,2,6,7,8,3]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,2,1,3,5]=>[6,1,7,2,8,3,5,4]=>[3,8,2,7,1,6,4,5]=>[4,1,5,2,6,3,8,7]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,2,1,3,5]=>[6,1,7,2,8,3,4,5]=>[3,8,2,7,1,6,5,4]=>[4,1,5,2,6,3,7,8]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,1,2,3,5]=>[1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>[1,2,5,3,6,7,8,4]
[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[1,2,7,3,8,4,5,6]=>[8,7,2,6,1,5,4,3]=>[1,2,5,3,6,4,7,8]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[8,7,6,3,2,1,4,5]=>[6,5,1,2,8,7,4,3]=>[3,4,8,7,1,2,5,6]=>[4,5,1,2,6,7,8,3]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[7,6,8,3,2,1,4,5]=>[6,5,1,2,8,4,3,7]=>[3,4,8,7,1,5,6,2]=>[4,5,1,2,6,8,3,7]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[6,7,8,3,2,1,4,5]=>[6,5,1,2,8,3,4,7]=>[3,4,8,7,1,6,5,2]=>[4,5,1,2,6,3,7,8]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[8,7,6,2,3,1,4,5]=>[6,1,2,3,8,7,5,4]=>[3,8,7,6,1,2,4,5]=>[4,1,2,3,6,7,8,5]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[7,6,8,2,3,1,4,5]=>[6,1,2,3,8,5,4,7]=>[3,8,7,6,1,4,5,2]=>[4,1,2,3,6,8,5,7]
[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[6,7,8,2,3,1,4,5]=>[6,1,2,3,8,4,5,7]=>[3,8,7,6,1,5,4,2]=>[4,1,2,3,6,5,7,8]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[8,7,6,3,1,2,4,5]=>[1,6,2,3,8,7,5,4]=>[8,3,7,6,1,2,4,5]=>[1,5,2,3,6,7,8,4]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[6,7,8,3,1,2,4,5]=>[1,6,2,3,8,4,5,7]=>[8,3,7,6,1,5,4,2]=>[1,5,2,3,6,4,7,8]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[8,7,6,2,1,3,4,5]=>[5,1,2,3,8,7,6,4]=>[4,8,7,6,1,2,3,5]=>[5,1,2,3,6,7,8,4]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[5,1,2,3,8,4,6,7]=>[4,8,7,6,1,5,3,2]=>[5,1,2,3,6,4,7,8]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[1,2,3,4,6,7,8,5]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[1,2,3,4,8,7,5,6]=>[8,7,6,5,1,2,4,3]=>[1,2,3,4,6,7,5,8]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>[1,2,3,4,6,5,8,7]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[1,2,3,4,8,6,5,7]=>[8,7,6,5,1,3,4,2]=>[1,2,3,4,6,8,5,7]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>[1,2,3,4,6,5,7,8]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[8,7,5,4,3,2,1,6]=>[7,6,5,4,1,8,3,2]=>[2,3,4,5,8,1,6,7]=>[3,4,5,6,1,7,8,2]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[7,8,5,4,3,2,1,6]=>[7,6,5,4,1,8,2,3]=>[2,3,4,5,8,1,7,6]=>[3,4,5,6,1,7,2,8]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[8,7,4,5,2,3,1,6]=>[7,1,6,2,3,8,5,4]=>[2,8,3,7,6,1,4,5]=>[3,1,5,2,4,7,8,6]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,2,3,1,6]=>[7,1,6,2,3,8,4,5]=>[2,8,3,7,6,1,5,4]=>[3,1,5,2,4,7,6,8]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[8,7,5,3,2,4,1,6]=>[7,5,1,6,2,8,4,3]=>[2,4,8,3,7,1,5,6]=>[3,5,1,6,2,7,8,4]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[8,7,4,3,2,5,1,6]=>[7,5,4,1,2,8,6,3]=>[2,4,5,8,7,1,3,6]=>[3,5,6,1,2,7,8,4]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[7,8,4,3,2,5,1,6]=>[7,5,4,1,2,8,3,6]=>[2,4,5,8,7,1,6,3]=>[3,5,6,1,2,7,4,8]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[8,7,3,4,2,5,1,6]=>[7,5,1,2,3,8,6,4]=>[2,4,8,7,6,1,3,5]=>[3,5,1,2,4,7,8,6]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[7,8,3,4,2,5,1,6]=>[7,5,1,2,3,8,4,6]=>[2,4,8,7,6,1,5,3]=>[3,5,1,2,4,7,6,8]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,3,1,2,6]=>[1,7,6,5,2,8,4,3]=>[8,2,3,4,7,1,5,6]=>[1,4,5,6,2,7,8,3]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[7,8,5,4,3,1,2,6]=>[1,7,6,5,2,8,3,4]=>[8,2,3,4,7,1,6,5]=>[1,4,5,6,2,7,3,8]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[8,7,5,3,4,1,2,6]=>[1,7,2,6,3,8,5,4]=>[8,2,7,3,6,1,4,5]=>[1,4,2,6,3,7,8,5]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[7,8,5,3,4,1,2,6]=>[1,7,2,6,3,8,4,5]=>[8,2,7,3,6,1,5,4]=>[1,4,2,6,3,7,5,8]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>[6,1,7,5,2,8,3,4]=>[3,8,2,4,7,1,6,5]=>[4,1,5,6,2,7,3,8]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,1,2,3,6]=>[1,2,7,6,3,8,4,5]=>[8,7,2,3,6,1,5,4]=>[1,2,5,6,3,7,4,8]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[8,7,4,5,1,2,3,6]=>[1,2,7,3,4,8,6,5]=>[8,7,2,6,5,1,3,4]=>[1,2,5,3,4,7,8,6]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[8,7,5,3,2,1,4,6]=>[6,5,1,7,2,8,4,3]=>[3,4,8,2,7,1,5,6]=>[4,5,1,6,2,7,8,3]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[7,8,5,3,2,1,4,6]=>[6,5,1,7,2,8,3,4]=>[3,4,8,2,7,1,6,5]=>[4,5,1,6,2,7,3,8]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[8,7,5,2,3,1,4,6]=>[6,1,2,7,3,8,5,4]=>[3,8,7,2,6,1,4,5]=>[4,1,2,6,3,7,8,5]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[8,7,5,3,1,2,4,6]=>[1,6,2,7,3,8,5,4]=>[8,3,7,2,6,1,4,5]=>[1,5,2,6,3,7,8,4]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[7,8,5,3,1,2,4,6]=>[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>[1,5,2,6,3,7,4,8]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[5,1,2,7,3,8,6,4]=>[4,8,7,2,6,1,3,5]=>[5,1,2,6,3,7,8,4]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[5,1,2,7,3,8,4,6]=>[4,8,7,2,6,1,5,3]=>[5,1,2,6,3,7,4,8]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[1,2,3,7,4,8,6,5]=>[8,7,6,2,5,1,3,4]=>[1,2,3,6,4,7,8,5]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[1,2,3,7,4,8,5,6]=>[8,7,6,2,5,1,4,3]=>[1,2,3,6,4,7,5,8]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[8,7,4,3,2,1,5,6]=>[6,5,4,1,2,8,7,3]=>[3,4,5,8,7,1,2,6]=>[4,5,6,1,2,7,8,3]
[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[7,8,2,3,4,1,5,6]=>[6,1,2,3,4,8,5,7]=>[3,8,7,6,5,1,4,2]=>[4,1,2,3,5,7,6,8]
[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[7,8,3,4,1,2,5,6]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>[1,5,2,3,4,7,6,8]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[7,8,4,2,1,3,5,6]=>[5,1,6,2,3,8,4,7]=>[4,8,3,7,6,1,5,2]=>[5,1,6,2,3,7,4,8]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[7,8,4,1,2,3,5,6]=>[1,2,6,3,4,8,5,7]=>[8,7,3,6,5,1,4,2]=>[1,2,6,3,4,7,5,8]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[8,7,3,2,1,4,5,6]=>[5,4,1,2,3,8,7,6]=>[4,5,8,7,6,1,2,3]=>[5,6,1,2,3,7,8,4]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[5,4,1,2,3,8,6,7]=>[4,5,8,7,6,1,3,2]=>[5,6,1,2,3,7,4,8]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[7,8,2,3,1,4,5,6]=>[5,1,2,3,4,8,6,7]=>[4,8,7,6,5,1,3,2]=>[5,1,2,3,4,7,6,8]
[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[7,8,3,1,2,4,5,6]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>[1,6,2,3,4,7,5,8]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[8,7,2,1,3,4,5,6]=>[4,1,2,3,5,8,7,6]=>[5,8,7,6,4,1,2,3]=>[6,1,2,3,4,7,8,5]
[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[7,8,2,1,3,4,5,6]=>[4,1,2,3,5,8,6,7]=>[5,8,7,6,4,1,3,2]=>[6,1,2,3,4,7,5,8]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,8,6,7]=>[8,7,6,5,4,1,3,2]=>[1,2,3,4,5,7,6,8]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[8,5,6,4,3,2,1,7]=>[7,6,5,4,1,2,8,3]=>[2,3,4,5,8,7,1,6]=>[3,4,5,6,1,2,8,7]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[7,6,5,1,2,3,8,4]=>[2,3,4,8,7,6,1,5]=>[3,4,5,1,2,6,8,7]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[8,3,4,5,6,2,1,7]=>[7,6,1,2,3,4,8,5]=>[2,3,8,7,6,5,1,4]=>[3,4,1,2,5,6,8,7]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[8,5,6,4,2,3,1,7]=>[7,1,6,5,2,3,8,4]=>[2,8,3,4,7,6,1,5]=>[3,1,5,6,2,4,8,7]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[8,6,5,3,2,4,1,7]=>[7,5,1,6,4,2,8,3]=>[2,4,8,3,5,7,1,6]=>[3,5,1,6,7,2,8,4]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[8,6,5,2,3,4,1,7]=>[7,1,2,6,5,3,8,4]=>[2,8,7,3,4,6,1,5]=>[3,1,2,6,7,4,8,5]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[8,6,3,2,4,5,1,7]=>[7,4,1,2,6,3,8,5]=>[2,5,8,7,3,6,1,4]=>[3,6,1,2,7,4,8,5]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,3,1,2,7]=>[1,7,6,2,5,3,8,4]=>[8,2,3,7,4,6,1,5]=>[1,4,5,2,7,3,8,6]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[8,4,5,3,6,1,2,7]=>[1,7,5,2,3,4,8,6]=>[8,2,4,7,6,5,1,3]=>[1,4,6,2,3,5,8,7]
[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[8,3,4,5,6,1,2,7]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>[1,4,2,3,5,6,8,7]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[8,5,6,3,2,1,4,7]=>[6,5,1,7,2,3,8,4]=>[3,4,8,2,7,6,1,5]=>[4,5,1,6,2,3,8,7]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[8,6,5,2,3,1,4,7]=>[6,1,2,7,5,3,8,4]=>[3,8,7,2,4,6,1,5]=>[4,1,2,6,7,3,8,5]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[6,1,2,7,3,4,8,5]=>[3,8,7,2,6,5,1,4]=>[4,1,2,6,3,5,8,7]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[8,5,6,3,1,2,4,7]=>[1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>[1,5,2,6,3,4,8,7]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[8,5,6,2,1,3,4,7]=>[5,1,2,7,3,4,8,6]=>[4,8,7,2,6,5,1,3]=>[5,1,2,6,3,4,8,7]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>[6,5,4,1,7,2,8,3]=>[3,4,5,8,2,7,1,6]=>[4,5,6,1,7,2,8,3]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[6,5,1,2,7,3,8,4]=>[3,4,8,7,2,6,1,5]=>[4,5,1,2,7,3,8,6]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[8,6,4,2,3,1,5,7]=>[6,1,5,2,7,3,8,4]=>[3,8,4,7,2,6,1,5]=>[4,1,6,2,7,3,8,5]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[8,6,3,2,4,1,5,7]=>[6,4,1,2,7,3,8,5]=>[3,5,8,7,2,6,1,4]=>[4,6,1,2,7,3,8,5]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[5,1,6,2,7,3,8,4]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[8,6,4,1,2,3,5,7]=>[1,2,6,3,7,4,8,5]=>[8,7,3,6,2,5,1,4]=>[1,2,6,3,7,4,8,5]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[8,3,4,5,2,1,6,7]=>[6,5,1,2,3,4,8,7]=>[3,4,8,7,6,5,1,2]=>[4,5,1,2,3,6,8,7]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[8,5,4,2,1,3,6,7]=>[5,1,6,4,2,3,8,7]=>[4,8,3,5,7,6,1,2]=>[5,1,6,7,2,3,8,4]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[8,5,3,2,1,4,6,7]=>[5,4,1,6,2,3,8,7]=>[4,5,8,3,7,6,1,2]=>[5,6,1,7,2,3,8,4]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[8,5,3,1,2,4,6,7]=>[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>[1,6,2,7,3,4,8,5]
[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[8,5,1,2,3,4,6,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>[1,2,3,7,4,5,8,6]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[8,4,3,2,1,5,6,7]=>[5,4,3,1,2,6,8,7]=>[4,5,6,8,7,3,1,2]=>[5,6,7,1,2,3,8,4]
[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>[5,1,2,3,4,6,8,7]=>[4,8,7,6,5,3,1,2]=>[5,1,2,3,4,6,8,7]
[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[8,3,4,1,2,5,6,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>[1,6,2,3,4,5,8,7]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[8,4,2,1,3,5,6,7]=>[4,1,5,2,3,6,8,7]=>[5,8,4,7,6,3,1,2]=>[6,1,7,2,3,4,8,5]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>[4,3,1,2,5,6,8,7]=>[5,6,8,7,4,3,1,2]=>[6,7,1,2,3,4,8,5]
[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[8,2,3,1,4,5,6,7]=>[4,1,2,3,5,6,8,7]=>[5,8,7,6,4,3,1,2]=>[6,1,2,3,4,5,8,7]
[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>[1,4,2,3,5,6,8,7]=>[8,5,7,6,4,3,1,2]=>[1,7,2,3,4,5,8,6]
[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[3,4,5,6,7,8,1,2]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[7,6,5,4,3,1,2,8]=>[2,3,4,5,6,8,7,1]=>[3,4,5,6,7,1,2,8]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[7,5,6,4,3,2,1,8]=>[7,6,5,4,1,3,2,8]=>[2,3,4,5,8,6,7,1]=>[3,4,5,6,1,8,2,7]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[7,6,5,4,1,2,3,8]=>[2,3,4,5,8,7,6,1]=>[3,4,5,6,1,2,7,8]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>[7,6,5,1,4,3,2,8]=>[2,3,4,8,5,6,7,1]=>[3,4,5,1,7,8,2,6]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[7,4,5,6,3,2,1,8]=>[7,6,5,1,2,4,3,8]=>[2,3,4,8,7,5,6,1]=>[3,4,5,1,2,8,6,7]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[7,6,5,3,2,1,4,8]=>[2,3,4,6,7,8,5,1]=>[3,4,5,7,8,1,2,6]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[7,6,5,1,2,3,4,8]=>[2,3,4,8,7,6,5,1]=>[3,4,5,1,2,6,7,8]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[7,6,5,3,4,2,1,8]=>[7,6,1,5,4,3,2,8]=>[2,3,8,4,5,6,7,1]=>[3,4,1,6,7,8,2,5]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[7,6,3,4,5,2,1,8]=>[7,6,1,2,5,4,3,8]=>[2,3,8,7,4,5,6,1]=>[3,4,1,2,7,8,5,6]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[7,4,5,3,6,2,1,8]=>[7,6,4,1,2,5,3,8]=>[2,3,5,8,7,4,6,1]=>[3,4,6,1,2,8,5,7]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[7,6,4,3,2,1,5,8]=>[2,3,5,6,7,8,4,1]=>[3,4,6,7,8,1,2,5]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[7,6,4,2,1,3,5,8]=>[2,3,5,7,8,6,4,1]=>[3,4,6,8,1,2,5,7]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[7,6,3,2,1,4,5,8]=>[2,3,6,7,8,5,4,1]=>[3,4,7,8,1,2,5,6]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,2,3,1,8]=>[7,1,6,2,5,4,3,8]=>[2,8,3,7,4,5,6,1]=>[3,1,5,2,7,8,4,6]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[6,7,4,5,2,3,1,8]=>[7,1,6,2,5,3,4,8]=>[2,8,3,7,4,6,5,1]=>[3,1,5,2,7,4,6,8]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[5,6,4,7,2,3,1,8]=>[7,1,6,4,2,3,5,8]=>[2,8,3,5,7,6,4,1]=>[3,1,5,7,2,4,6,8]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[5,6,7,3,2,4,1,8]=>[7,5,1,6,2,3,4,8]=>[2,4,8,3,7,6,5,1]=>[3,5,1,6,2,4,7,8]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[7,1,2,6,5,4,3,8]=>[2,8,7,3,4,5,6,1]=>[3,1,2,6,7,8,4,5]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[6,7,4,3,2,5,1,8]=>[7,5,4,1,6,2,3,8]=>[2,4,5,8,3,7,6,1]=>[3,5,6,1,7,2,4,8]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[6,7,3,4,2,5,1,8]=>[7,5,1,2,6,3,4,8]=>[2,4,8,7,3,6,5,1]=>[3,5,1,2,7,4,6,8]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[6,7,3,2,4,5,1,8]=>[7,4,1,2,6,3,5,8]=>[2,5,8,7,3,6,4,1]=>[3,6,1,2,7,4,5,8]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[7,6,2,3,4,5,1,8]=>[7,1,2,3,6,5,4,8]=>[2,8,7,6,3,4,5,1]=>[3,1,2,4,7,8,5,6]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[7,5,3,4,2,6,1,8]=>[7,5,1,4,2,6,3,8]=>[2,4,8,5,7,3,6,1]=>[3,5,1,7,2,8,4,6]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[7,4,3,5,2,6,1,8]=>[7,5,3,1,2,6,4,8]=>[2,4,6,8,7,3,5,1]=>[3,5,7,1,2,8,4,6]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[7,5,3,2,4,6,1,8]=>[7,4,1,5,2,6,3,8]=>[2,5,8,4,7,3,6,1]=>[3,6,1,7,2,8,4,5]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[5,6,3,4,2,7,1,8]=>[7,5,1,4,2,3,6,8]=>[2,4,8,5,7,6,3,1]=>[3,5,1,7,2,4,6,8]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>[6,3,4,5,2,7,1,8]=>[7,5,1,2,4,3,6,8]=>[2,4,8,7,5,6,3,1]=>[3,5,1,2,8,4,6,7]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[5,4,3,6,2,7,1,8]=>[7,5,3,2,1,4,6,8]=>[2,4,6,7,8,5,3,1]=>[3,5,7,8,1,2,4,6]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[7,5,3,1,2,4,6,8]=>[2,4,6,8,7,5,3,1]=>[3,5,7,1,2,4,6,8]
[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[7,5,1,2,3,4,6,8]=>[2,4,8,7,6,5,3,1]=>[3,5,1,2,4,6,7,8]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>[6,5,3,2,4,7,1,8]=>[7,4,1,5,3,2,6,8]=>[2,5,8,4,6,7,3,1]=>[3,6,1,7,8,2,4,5]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>[6,3,2,4,5,7,1,8]=>[7,3,1,2,5,4,6,8]=>[2,6,8,7,4,5,3,1]=>[3,7,1,2,8,4,5,6]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[7,4,3,2,1,5,6,8]=>[2,5,6,7,8,4,3,1]=>[3,6,7,8,1,2,4,5]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,3,1,2,8]=>[1,7,6,2,3,5,4,8]=>[8,2,3,7,6,4,5,1]=>[1,4,5,2,3,8,6,7]
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[4,5,6,7,3,1,2,8]=>[1,7,6,2,3,4,5,8]=>[8,2,3,7,6,5,4,1]=>[1,4,5,2,3,6,7,8]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[7,5,6,3,4,1,2,8]=>[1,7,2,6,3,5,4,8]=>[8,2,7,3,6,4,5,1]=>[1,4,2,6,3,8,5,7]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[7,5,3,4,6,1,2,8]=>[1,7,2,5,3,6,4,8]=>[8,2,7,4,6,3,5,1]=>[1,4,2,7,3,8,5,6]
[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[3,4,5,6,7,1,2,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>[1,4,2,3,5,6,7,8]
[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[4,5,6,7,2,1,3,8]=>[6,1,7,2,3,4,5,8]=>[3,8,2,7,6,5,4,1]=>[4,1,5,2,3,6,7,8]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[7,6,5,2,3,1,4,8]=>[6,1,2,7,5,4,3,8]=>[3,8,7,2,4,5,6,1]=>[4,1,2,6,7,8,3,5]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[7,5,6,2,3,1,4,8]=>[6,1,2,7,3,5,4,8]=>[3,8,7,2,6,4,5,1]=>[4,1,2,6,3,8,5,7]
[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[5,6,7,2,3,1,4,8]=>[6,1,2,7,3,4,5,8]=>[3,8,7,2,6,5,4,1]=>[4,1,2,6,3,5,7,8]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[7,5,6,3,1,2,4,8]=>[1,6,2,7,3,5,4,8]=>[8,3,7,2,6,4,5,1]=>[1,5,2,6,3,8,4,7]
[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[5,6,7,3,1,2,4,8]=>[1,6,2,7,3,4,5,8]=>[8,3,7,2,6,5,4,1]=>[1,5,2,6,3,4,7,8]
[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[5,6,7,2,1,3,4,8]=>[5,1,2,7,3,4,6,8]=>[4,8,7,2,6,5,3,1]=>[5,1,2,6,3,4,7,8]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[7,6,5,1,2,3,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[1,2,3,6,7,8,4,5]
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[7,5,6,1,2,3,4,8]=>[1,2,3,7,4,6,5,8]=>[8,7,6,2,5,3,4,1]=>[1,2,3,6,4,8,5,7]
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>[1,2,3,7,4,5,6,8]=>[8,7,6,2,5,4,3,1]=>[1,2,3,6,4,5,7,8]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[7,6,4,3,2,1,5,8]=>[6,5,4,1,7,3,2,8]=>[3,4,5,8,2,6,7,1]=>[4,5,6,1,7,8,2,3]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[7,6,3,2,4,1,5,8]=>[6,4,1,2,7,5,3,8]=>[3,5,8,7,2,4,6,1]=>[4,6,1,2,7,8,3,5]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[7,6,4,2,1,3,5,8]=>[5,1,6,2,7,4,3,8]=>[4,8,3,7,2,5,6,1]=>[5,1,6,2,7,8,3,4]
[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[6,7,3,1,2,4,5,8]=>[1,5,2,3,7,4,6,8]=>[8,4,7,6,2,5,3,1]=>[1,6,2,3,7,4,5,8]
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[6,7,1,2,3,4,5,8]=>[1,2,3,4,7,5,6,8]=>[8,7,6,5,2,4,3,1]=>[1,2,3,4,7,5,6,8]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[7,5,2,3,4,1,6,8]=>[6,1,2,5,3,7,4,8]=>[3,8,7,4,6,2,5,1]=>[4,1,2,7,3,8,5,6]
[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[7,2,3,4,5,1,6,8]=>[6,1,2,3,4,7,5,8]=>[3,8,7,6,5,2,4,1]=>[4,1,2,3,5,8,6,7]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[7,5,3,4,1,2,6,8]=>[1,6,2,5,3,7,4,8]=>[8,3,7,4,6,2,5,1]=>[1,5,2,7,3,8,4,6]
[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[7,4,5,1,2,3,6,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>[1,2,6,3,4,8,5,7]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[7,5,3,2,1,4,6,8]=>[5,4,1,6,2,7,3,8]=>[4,5,8,3,7,2,6,1]=>[5,6,1,7,2,8,3,4]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[7,5,3,1,2,4,6,8]=>[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[1,6,2,7,3,8,4,5]
[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[7,5,1,2,3,4,6,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>[1,2,3,7,4,8,5,6]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[7,4,3,1,2,5,6,8]=>[1,5,4,2,3,7,6,8]=>[8,4,5,7,6,2,3,1]=>[1,6,7,2,3,8,4,5]
[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[7,3,4,1,2,5,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>[1,6,2,3,4,8,5,7]
[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[7,3,1,2,4,5,6,8]=>[1,4,2,3,5,7,6,8]=>[8,5,7,6,4,2,3,1]=>[1,7,2,3,4,8,5,6]
[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[8,7,6,5,4,2,3,1]=>[1,2,3,4,5,8,6,7]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[6,5,3,4,2,1,7,8]=>[6,5,1,4,3,2,7,8]=>[3,4,8,5,6,7,2,1]=>[4,5,1,7,8,2,3,6]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>[5,4,3,6,2,1,7,8]=>[6,5,3,2,1,4,7,8]=>[3,4,6,7,8,5,2,1]=>[4,5,7,8,1,2,3,6]
[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[6,5,1,2,3,4,7,8]=>[3,4,8,7,6,5,2,1]=>[4,5,1,2,3,6,7,8]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>[5,6,3,2,4,1,7,8]=>[6,4,1,5,2,3,7,8]=>[3,5,8,4,7,6,2,1]=>[4,6,1,7,2,3,5,8]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[6,5,2,3,4,1,7,8]=>[6,1,2,5,4,3,7,8]=>[3,8,7,4,5,6,2,1]=>[4,1,2,7,8,3,5,6]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[6,4,3,2,5,1,7,8]=>[6,4,3,1,5,2,7,8]=>[3,5,6,8,4,7,2,1]=>[4,6,7,1,8,2,3,5]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[6,4,3,2,1,5,7,8]=>[3,5,6,7,8,4,2,1]=>[4,6,7,8,1,2,3,5]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[6,4,3,1,2,5,7,8]=>[3,5,6,8,7,4,2,1]=>[4,6,7,1,2,3,5,8]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>[5,3,2,4,6,1,7,8]=>[6,3,1,4,2,5,7,8]=>[3,6,8,5,7,4,2,1]=>[4,7,1,8,2,3,5,6]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[5,6,4,2,1,3,7,8]=>[5,1,6,4,2,3,7,8]=>[4,8,3,5,7,6,2,1]=>[5,1,6,7,2,3,4,8]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[6,4,5,2,1,3,7,8]=>[5,1,6,2,4,3,7,8]=>[4,8,3,7,5,6,2,1]=>[5,1,6,2,8,3,4,7]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[5,6,3,2,1,4,7,8]=>[5,4,1,6,2,3,7,8]=>[4,5,8,3,7,6,2,1]=>[5,6,1,7,2,3,4,8]
[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[6,5,1,2,3,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>[1,2,3,7,8,4,5,6]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[6,4,3,2,1,5,7,8]=>[5,4,3,1,6,2,7,8]=>[4,5,6,8,3,7,2,1]=>[5,6,7,1,8,2,3,4]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[6,4,2,1,3,5,7,8]=>[4,1,5,2,6,3,7,8]=>[5,8,4,7,3,6,2,1]=>[6,1,7,2,8,3,4,5]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[5,6,7,8,1,2,3,4]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[5,4,3,1,2,6,7,8]=>[4,5,6,8,7,3,2,1]=>[5,6,7,1,2,3,4,8]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[5,3,4,2,1,6,7,8]=>[5,4,1,3,2,6,7,8]=>[4,5,8,6,7,3,2,1]=>[5,6,1,8,2,3,4,7]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[5,4,2,1,3,6,7,8]=>[4,5,7,8,6,3,2,1]=>[5,6,8,1,2,3,4,7]
[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[5,4,1,2,3,6,7,8]=>[4,5,8,7,6,3,2,1]=>[5,6,1,2,3,4,7,8]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[5,4,2,3,1,6,7,8]=>[5,1,4,3,2,6,7,8]=>[4,8,5,6,7,3,2,1]=>[5,1,7,8,2,3,4,6]
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[4,5,2,3,1,6,7,8]=>[5,1,4,2,3,6,7,8]=>[4,8,5,7,6,3,2,1]=>[5,1,7,2,3,4,6,8]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[5,3,2,4,1,6,7,8]=>[5,3,1,4,2,6,7,8]=>[4,6,8,5,7,3,2,1]=>[5,7,1,8,2,3,4,6]
[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[5,2,3,4,1,6,7,8]=>[5,1,2,4,3,6,7,8]=>[4,8,7,5,6,3,2,1]=>[5,1,2,8,3,4,6,7]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[5,3,2,1,4,6,7,8]=>[4,6,7,8,5,3,2,1]=>[5,7,8,1,2,3,4,6]
[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[5,3,1,2,4,6,7,8]=>[4,6,8,7,5,3,2,1]=>[5,7,1,2,3,4,6,8]
[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[4,2,3,5,1,6,7,8]=>[5,1,3,2,4,6,7,8]=>[4,8,6,7,5,3,2,1]=>[5,1,8,2,3,4,6,7]
[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[5,2,1,3,4,6,7,8]=>[4,7,8,6,5,3,2,1]=>[5,8,1,2,3,4,6,7]
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8]
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[5,3,4,1,2,6,7,8]=>[1,5,2,4,3,6,7,8]=>[8,4,7,5,6,3,2,1]=>[1,6,2,8,3,4,5,7]
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[5,3,1,2,4,6,7,8]=>[1,4,2,5,3,6,7,8]=>[8,5,7,4,6,3,2,1]=>[1,7,2,8,3,4,5,6]
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[1,2,3,8,4,5,6,7]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[6,7,8,1,2,3,4,5]
[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>[5,6,8,7,4,3,2,1]=>[6,7,1,2,3,4,5,8]
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[4,2,3,1,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[5,8,6,7,4,3,2,1]=>[6,1,8,2,3,4,5,7]
[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>[5,7,8,6,4,3,2,1]=>[6,8,1,2,3,4,5,7]
[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>[6,1,2,3,4,5,7,8]
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[4,3,1,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>[1,7,8,2,3,4,5,6]
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[3,4,1,2,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[8,5,7,6,4,3,2,1]=>[1,7,2,3,4,5,6,8]
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[4,2,1,3,5,6,7,8]=>[3,1,4,2,5,6,7,8]=>[6,8,5,7,4,3,2,1]=>[7,1,8,2,3,4,5,6]
[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>[1,2,8,3,4,5,6,7]
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[7,8,1,2,3,4,5,6]
[[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[6,8,7,5,4,3,2,1]=>[7,1,2,3,4,5,6,8]
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[8,6,7,5,4,3,2,1]=>[1,8,2,3,4,5,6,7]
[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>[8,1,2,3,4,5,6,7]
[[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
major-index to inversion-number bijection
Description
Return the permutation whose Lehmer code equals the major code of the preimage.
This map sends the major index to the number of inversions.
This map sends the major index to the number of inversions.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
Map
Lehmer code rotation
Description
Sends a permutation $\pi$ to the unique permutation $\tau$ (of the same length) such that every entry in the Lehmer code of $\tau$ is cyclically one larger than the Lehmer code of $\pi$.
searching the database
Sorry, this map was not found in the database.