Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00126: Permutations —cactus evacuation⟶ Permutations
Mp00066: Permutations —inverse⟶ Permutations
Mp00126: Permutations —cactus evacuation⟶ Permutations
Mp00066: Permutations —inverse⟶ Permutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1]
[.,[.,.]]=>[2,1]=>[2,1]=>[2,1]
[[.,.],.]=>[1,2]=>[1,2]=>[1,2]
[.,[.,[.,.]]]=>[3,2,1]=>[3,2,1]=>[3,2,1]
[.,[[.,.],.]]=>[2,3,1]=>[2,1,3]=>[2,1,3]
[[.,.],[.,.]]=>[1,3,2]=>[3,1,2]=>[2,3,1]
[[.,[.,.]],.]=>[2,1,3]=>[2,3,1]=>[3,1,2]
[[[.,.],.],.]=>[1,2,3]=>[1,2,3]=>[1,2,3]
[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1]
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[3,2,1,4]=>[3,2,1,4]
[.,[[.,.],[.,.]]]=>[2,4,3,1]=>[4,2,1,3]=>[3,2,4,1]
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[3,2,4,1]=>[4,2,1,3]
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[2,1,3,4]=>[2,1,3,4]
[[.,.],[.,[.,.]]]=>[1,4,3,2]=>[4,3,1,2]=>[3,4,2,1]
[[.,.],[[.,.],.]]=>[1,3,4,2]=>[3,1,2,4]=>[2,3,1,4]
[[.,[.,.]],[.,.]]=>[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3]
[[[.,.],.],[.,.]]=>[1,2,4,3]=>[4,1,2,3]=>[2,3,4,1]
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,4,2,1]=>[4,3,1,2]
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[2,3,1,4]=>[3,1,2,4]
[[[.,.],[.,.]],.]=>[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4]
[[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,3,4,1]=>[4,1,2,3]
[[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4]
[.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1]
[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[4,3,2,1,5]=>[4,3,2,1,5]
[.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[5,3,2,1,4]=>[4,3,2,5,1]
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[4,3,2,5,1]=>[5,3,2,1,4]
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[3,2,1,4,5]=>[3,2,1,4,5]
[.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[5,4,2,1,3]=>[4,3,5,2,1]
[.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[4,2,1,3,5]=>[3,2,4,1,5]
[.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[3,2,1,5,4]=>[3,2,1,5,4]
[.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[5,2,1,3,4]=>[3,2,4,5,1]
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[4,3,5,2,1]=>[5,4,2,1,3]
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[3,2,4,1,5]=>[4,2,1,3,5]
[.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[4,2,3,1,5]=>[4,2,3,1,5]
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[3,2,4,5,1]=>[5,2,1,3,4]
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[2,1,3,4,5]=>[2,1,3,4,5]
[[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[5,4,3,1,2]=>[4,5,3,2,1]
[[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[4,3,1,2,5]=>[3,4,2,1,5]
[[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[5,3,1,2,4]=>[3,4,2,5,1]
[[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[4,1,3,2,5]=>[2,4,3,1,5]
[[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[3,1,2,4,5]=>[2,3,1,4,5]
[[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[5,2,1,4,3]=>[3,2,5,4,1]
[[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,3,4]
[[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[3,4,5,2,1]
[[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[4,1,2,3,5]=>[2,3,4,1,5]
[[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[3,2,5,4,1]=>[5,2,1,4,3]
[[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[2,1,5,3,4]=>[2,1,4,5,3]
[[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[3,1,5,2,4]=>[2,4,1,5,3]
[[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4]
[[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[5,1,2,3,4]=>[2,3,4,5,1]
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,5,3,2,1]=>[5,4,3,1,2]
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[3,4,2,1,5]=>[4,3,1,2,5]
[[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[2,4,3,1,5]=>[4,1,3,2,5]
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[3,4,2,5,1]=>[5,3,1,2,4]
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[2,3,1,4,5]=>[3,1,2,4,5]
[[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5]
[[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5]
[[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[2,4,1,5,3]=>[3,1,5,2,4]
[[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[1,4,2,3,5]=>[1,3,4,2,5]
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[5,4,1,2,3]
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[2,3,4,1,5]=>[4,1,2,3,5]
[[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[1,3,4,2,5]=>[1,4,2,3,5]
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,3,4,5,1]=>[5,1,2,3,4]
[[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5]
[.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]
[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]
[.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[6,4,3,2,1,5]=>[5,4,3,2,6,1]
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[5,4,3,2,6,1]=>[6,4,3,2,1,5]
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]
[.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[6,5,3,2,1,4]=>[5,4,3,6,2,1]
[.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[5,3,2,1,4,6]=>[4,3,2,5,1,6]
[.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]
[.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[6,3,2,1,4,5]=>[4,3,2,5,6,1]
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[6,5,3,2,1,4]
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6]
[.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[5,3,2,4,1,6]=>[5,3,2,4,1,6]
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5]
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]
[.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[6,5,4,2,1,3]=>[5,4,6,3,2,1]
[.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[5,4,2,1,3,6]=>[4,3,5,2,1,6]
[.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[6,4,2,1,3,5]=>[4,3,5,2,6,1]
[.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[5,4,2,3,1,6]=>[5,3,4,2,1,6]
[.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6]
[.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[6,3,2,1,5,4]=>[4,3,2,6,5,1]
[.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[3,2,1,5,6,4]=>[3,2,1,6,4,5]
[.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[6,5,2,1,3,4]=>[4,3,5,6,2,1]
[.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6]
[.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[4,3,2,6,5,1]=>[6,3,2,1,5,4]
[.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[3,2,1,6,4,5]=>[3,2,1,5,6,4]
[.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[4,2,1,6,3,5]=>[3,2,5,1,6,4]
[.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]
[.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[5,4,6,3,2,1]=>[6,5,4,2,1,3]
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[4,3,5,2,1,6]=>[5,4,2,1,3,6]
[.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[5,3,4,2,1,6]=>[5,4,2,3,1,6]
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[6,4,2,1,3,5]
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]
[.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[5,2,4,3,1,6]=>[5,2,4,3,1,6]
[.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[4,2,3,1,5,6]=>[4,2,3,1,5,6]
[.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[3,2,5,1,6,4]=>[4,2,1,6,3,5]
[.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[5,2,3,1,4,6]=>[4,2,3,5,1,6]
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4]
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]
[.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[4,2,3,5,1,6]=>[5,2,3,1,4,6]
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]
[[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[6,5,4,3,1,2]=>[5,6,4,3,2,1]
[[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[5,4,3,1,2,6]=>[4,5,3,2,1,6]
[[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[6,4,3,1,2,5]=>[4,5,3,2,6,1]
[[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[5,4,1,3,2,6]=>[3,5,4,2,1,6]
[[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6]
[[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[6,5,3,1,2,4]=>[4,5,3,6,2,1]
[[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6]
[[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[4,3,1,6,2,5]=>[3,5,2,1,6,4]
[[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1]
[[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[5,1,4,3,2,6]=>[2,5,4,3,1,6]
[[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[4,1,3,2,5,6]=>[2,4,3,1,5,6]
[[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[5,1,3,2,4,6]=>[2,4,3,5,1,6]
[[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[4,1,3,5,2,6]=>[2,5,3,1,4,6]
[[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]
[[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[6,5,2,1,4,3]=>[4,3,6,5,2,1]
[[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[5,2,1,4,6,3]=>[3,2,6,4,1,5]
[[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[6,2,1,4,5,3]=>[3,2,6,4,5,1]
[[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[5,2,4,1,6,3]=>[4,2,6,3,1,5]
[[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[2,1,4,5,6,3]=>[2,1,6,3,4,5]
[[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[6,5,4,1,2,3]=>[4,5,6,3,2,1]
[[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6]
[[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1]
[[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[5,1,4,2,3,6]=>[2,4,5,3,1,6]
[[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]
[[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]
[[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[3,2,5,6,4,1]=>[6,2,1,5,3,4]
[[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[6,2,1,5,3,4]=>[3,2,5,6,4,1]
[[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]
[[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[6,3,1,5,2,4]=>[3,5,2,6,4,1]
[[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[3,1,2,5,4,6]=>[2,3,1,5,4,6]
[[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[6,2,1,3,5,4]=>[3,2,4,6,5,1]
[[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[2,1,3,5,6,4]=>[2,1,3,6,4,5]
[[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]
[[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]
[[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[4,3,6,5,2,1]=>[6,5,2,1,4,3]
[[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[3,2,6,4,1,5]=>[5,2,1,4,6,3]
[[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[4,2,6,3,1,5]=>[5,2,4,1,6,3]
[[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[3,2,6,4,5,1]=>[6,2,1,4,5,3]
[[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[2,1,6,3,4,5]=>[2,1,4,5,6,3]
[[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[4,1,6,3,2,5]=>[2,5,4,1,6,3]
[[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[3,1,6,2,4,5]=>[2,4,1,5,6,3]
[[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]
[[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[4,1,6,2,3,5]=>[2,4,5,1,6,3]
[[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[3,2,4,6,5,1]=>[6,2,1,3,5,4]
[[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[2,1,3,6,4,5]=>[2,1,3,5,6,4]
[[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[3,1,2,6,4,5]=>[2,3,1,5,6,4]
[[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]
[[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2]
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[5,4,3,1,2,6]
[[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[3,5,4,2,1,6]=>[5,4,1,3,2,6]
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5]
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]
[[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[2,5,4,3,1,6]=>[5,1,4,3,2,6]
[[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[2,4,3,1,5,6]=>[4,1,3,2,5,6]
[[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[3,5,2,1,6,4]=>[4,3,1,6,2,5]
[[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[2,5,3,1,4,6]=>[4,1,3,5,2,6]
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4]
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]
[[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[2,4,3,5,1,6]=>[5,1,3,2,4,6]
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]
[[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]
[[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]
[[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[1,5,3,2,4,6]=>[1,4,3,5,2,6]
[[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[1,4,3,5,2,6]=>[1,5,3,2,4,6]
[[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]
[[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[2,5,4,1,6,3]=>[4,1,6,3,2,5]
[[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[2,4,1,5,6,3]=>[3,1,6,2,4,5]
[[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[1,5,4,2,3,6]=>[1,4,5,3,2,6]
[[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6]
[[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[3,5,2,6,4,1]=>[6,3,1,5,2,4]
[[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[2,3,1,5,4,6]=>[3,1,2,5,4,6]
[[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]
[[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[2,3,1,5,6,4]=>[3,1,2,6,4,5]
[[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6]
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3]
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]
[[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[2,4,5,3,1,6]=>[5,1,4,2,3,6]
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]
[[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[1,4,5,3,2,6]=>[1,5,4,2,3,6]
[[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]
[[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5]
[[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]
[[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]
[[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[7,6,4,3,2,1,5]=>[6,5,4,3,7,2,1]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[6,4,3,2,1,5,7]=>[5,4,3,2,6,1,7]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[7,4,3,2,1,5,6]=>[5,4,3,2,6,7,1]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[6,5,4,3,7,2,1]=>[7,6,4,3,2,1,5]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[5,4,3,2,6,1,7]=>[6,4,3,2,1,5,7]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[6,4,3,2,5,1,7]=>[6,4,3,2,5,1,7]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[5,4,3,2,6,7,1]=>[7,4,3,2,1,5,6]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[7,6,5,3,2,1,4]=>[6,5,4,7,3,2,1]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[6,5,3,2,1,4,7]=>[5,4,3,6,2,1,7]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[7,5,3,2,1,4,6]=>[5,4,3,6,2,7,1]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[6,5,3,2,4,1,7]=>[6,4,3,5,2,1,7]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[5,3,2,1,4,6,7]=>[4,3,2,5,1,6,7]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[4,3,2,1,6,7,5]=>[4,3,2,1,7,5,6]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[7,6,3,2,1,4,5]=>[5,4,3,6,7,2,1]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[6,3,2,1,4,5,7]=>[4,3,2,5,6,1,7]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[5,4,3,2,7,6,1]=>[7,4,3,2,1,6,5]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[4,3,2,1,7,5,6]=>[4,3,2,1,6,7,5]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[5,3,2,1,7,4,6]=>[4,3,2,6,1,7,5]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[7,3,2,1,4,5,6]=>[4,3,2,5,6,7,1]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[6,5,4,7,3,2,1]=>[7,6,5,3,2,1,4]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[5,4,3,6,2,1,7]=>[6,5,3,2,1,4,7]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[6,4,3,5,2,1,7]=>[6,5,3,2,4,1,7]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[5,4,3,6,2,7,1]=>[7,5,3,2,1,4,6]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>[5,3,2,1,4,6,7]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[6,5,3,4,2,1,7]=>[6,5,3,4,2,1,7]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[5,3,2,4,1,6,7]=>[5,3,2,4,1,6,7]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[4,3,2,6,1,7,5]=>[5,3,2,1,7,4,6]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[6,3,2,4,1,5,7]=>[5,3,2,4,6,1,7]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]=>[7,6,3,2,1,4,5]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[4,3,2,5,6,1,7]=>[6,3,2,1,4,5,7]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[5,3,2,4,6,1,7]=>[6,3,2,4,1,5,7]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[4,3,2,5,6,7,1]=>[7,3,2,1,4,5,6]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[7,6,5,4,2,1,3]=>[6,5,7,4,3,2,1]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[6,5,4,2,1,3,7]=>[5,4,6,3,2,1,7]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[7,5,4,2,1,3,6]=>[5,4,6,3,2,7,1]
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[6,5,4,2,3,1,7]=>[6,4,5,3,2,1,7]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[5,4,2,1,3,6,7]=>[4,3,5,2,1,6,7]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[7,6,4,2,1,3,5]=>[5,4,6,3,7,2,1]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>[4,3,5,2,6,1,7]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[5,4,2,1,7,3,6]=>[4,3,6,2,1,7,5]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[7,4,2,1,3,5,6]=>[4,3,5,2,6,7,1]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[6,5,2,4,3,1,7]=>[6,3,5,4,2,1,7]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[5,4,2,3,1,6,7]=>[5,3,4,2,1,6,7]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[6,4,2,3,1,5,7]=>[5,3,4,2,6,1,7]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[5,4,2,3,6,1,7]=>[6,3,4,2,1,5,7]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[4,2,1,3,5,6,7]=>[3,2,4,1,5,6,7]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[7,6,3,2,1,5,4]=>[5,4,3,7,6,2,1]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[6,3,2,1,5,7,4]=>[4,3,2,7,5,1,6]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[7,3,2,1,5,6,4]=>[4,3,2,7,5,6,1]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[6,3,2,5,1,7,4]=>[5,3,2,7,4,1,6]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[3,2,1,5,6,7,4]=>[3,2,1,7,4,5,6]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[7,6,5,2,1,3,4]=>[5,4,6,7,3,2,1]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[6,5,2,1,3,4,7]=>[4,3,5,6,2,1,7]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[7,5,2,1,3,4,6]=>[4,3,5,6,2,7,1]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[6,5,2,3,1,4,7]=>[5,3,4,6,2,1,7]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[5,2,1,3,4,6,7]=>[3,2,4,5,1,6,7]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[4,3,2,6,7,5,1]=>[7,3,2,1,6,4,5]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[7,3,2,1,6,4,5]=>[4,3,2,6,7,5,1]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[7,4,2,1,6,3,5]=>[4,3,6,2,7,5,1]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[4,2,1,3,6,5,7]=>[3,2,4,1,6,5,7]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[7,3,2,1,4,6,5]=>[4,3,2,5,7,6,1]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[3,2,1,4,6,7,5]=>[3,2,1,4,7,5,6]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[7,6,2,1,3,4,5]=>[4,3,5,6,7,2,1]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[6,2,1,3,4,5,7]=>[3,2,4,5,6,1,7]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[5,4,3,7,6,2,1]=>[7,6,3,2,1,5,4]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[4,3,2,7,5,1,6]=>[6,3,2,1,5,7,4]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[5,3,2,7,4,1,6]=>[6,3,2,5,1,7,4]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[4,3,2,7,5,6,1]=>[7,3,2,1,5,6,4]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[3,2,1,7,4,5,6]=>[3,2,1,5,6,7,4]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[5,4,2,7,3,1,6]=>[6,3,5,2,1,7,4]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[4,2,1,7,3,5,6]=>[3,2,5,1,6,7,4]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[5,2,1,7,3,4,6]=>[3,2,5,6,1,7,4]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[4,3,2,5,7,6,1]=>[7,3,2,1,4,6,5]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[3,2,1,4,7,5,6]=>[3,2,1,4,6,7,5]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[4,2,1,3,7,5,6]=>[3,2,4,1,6,7,5]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[5,4,6,3,2,1,7]=>[6,5,4,2,1,3,7]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[6,4,5,3,2,1,7]=>[6,5,4,2,3,1,7]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[5,4,6,3,2,7,1]=>[7,5,4,2,1,3,6]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[4,3,5,2,1,6,7]=>[5,4,2,1,3,6,7]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[6,3,5,4,2,1,7]=>[6,5,2,4,3,1,7]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[5,3,4,2,1,6,7]=>[5,4,2,3,1,6,7]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[4,3,6,2,1,7,5]=>[5,4,2,1,7,3,6]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[6,3,4,2,1,5,7]=>[5,4,2,3,6,1,7]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[5,4,6,3,7,2,1]=>[7,6,4,2,1,3,5]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>[6,4,2,1,3,5,7]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[5,3,4,2,6,1,7]=>[6,4,2,3,1,5,7]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[4,3,5,2,6,7,1]=>[7,4,2,1,3,5,6]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[3,2,4,1,5,6,7]=>[4,2,1,3,5,6,7]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[6,2,5,4,3,1,7]=>[6,2,5,4,3,1,7]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[5,2,4,3,1,6,7]=>[5,2,4,3,1,6,7]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[6,2,4,3,1,5,7]=>[5,2,4,3,6,1,7]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[5,2,4,3,6,1,7]=>[6,2,4,3,1,5,7]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[4,2,3,1,5,6,7]=>[4,2,3,1,5,6,7]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[6,3,5,2,1,7,4]=>[5,4,2,7,3,1,6]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[3,2,5,1,6,7,4]=>[4,2,1,7,3,5,6]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[6,2,5,3,1,4,7]=>[5,2,4,6,3,1,7]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[5,2,3,1,4,6,7]=>[4,2,3,5,1,6,7]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[4,3,6,2,7,5,1]=>[7,4,2,1,6,3,5]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[3,2,4,1,6,5,7]=>[4,2,1,3,6,5,7]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[4,2,3,1,6,5,7]=>[4,2,3,1,6,5,7]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[3,2,4,1,6,7,5]=>[4,2,1,3,7,5,6]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[6,2,3,1,4,5,7]=>[4,2,3,5,6,1,7]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[5,4,6,7,3,2,1]=>[7,6,5,2,1,3,4]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>[6,5,2,1,3,4,7]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[5,3,4,6,2,1,7]=>[6,5,2,3,1,4,7]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[4,3,5,6,2,7,1]=>[7,5,2,1,3,4,6]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[5,2,4,6,3,1,7]=>[6,2,5,3,1,4,7]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[4,2,3,5,1,6,7]=>[5,2,3,1,4,6,7]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[3,2,5,6,1,7,4]=>[5,2,1,7,3,4,6]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[5,2,3,4,1,6,7]=>[5,2,3,4,1,6,7]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[4,3,5,6,7,2,1]=>[7,6,2,1,3,4,5]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[3,2,4,5,6,1,7]=>[6,2,1,3,4,5,7]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[4,2,3,5,6,1,7]=>[6,2,3,1,4,5,7]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6]
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[6,5,4,3,1,2,7]=>[5,6,4,3,2,1,7]
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[7,5,4,3,1,2,6]=>[5,6,4,3,2,7,1]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[6,5,4,1,3,2,7]=>[4,6,5,3,2,1,7]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[5,4,3,1,2,6,7]=>[4,5,3,2,1,6,7]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[7,6,4,3,1,2,5]=>[5,6,4,3,7,2,1]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[6,4,3,1,2,5,7]=>[4,5,3,2,6,1,7]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[5,4,3,1,7,2,6]=>[4,6,3,2,1,7,5]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>[4,5,3,2,6,7,1]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[6,5,1,4,3,2,7]=>[3,6,5,4,2,1,7]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[5,4,1,3,2,6,7]=>[3,5,4,2,1,6,7]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[6,4,1,3,2,5,7]=>[3,5,4,2,6,1,7]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[5,4,1,3,6,2,7]=>[3,6,4,2,1,5,7]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[4,3,1,2,5,6,7]=>[3,4,2,1,5,6,7]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[7,6,5,3,1,2,4]=>[5,6,4,7,3,2,1]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[6,5,3,1,2,4,7]=>[4,5,3,6,2,1,7]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>[4,5,3,6,2,7,1]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[6,5,1,3,2,4,7]=>[3,5,4,6,2,1,7]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[5,3,1,2,4,6,7]=>[3,4,2,5,1,6,7]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[7,4,3,1,6,2,5]=>[4,6,3,2,7,5,1]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[4,3,1,2,6,5,7]=>[3,4,2,1,6,5,7]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[7,6,3,1,2,4,5]=>[4,5,3,6,7,2,1]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[6,3,1,2,4,5,7]=>[3,4,2,5,6,1,7]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[5,4,1,7,3,2,6]=>[3,6,5,2,1,7,4]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[4,3,1,7,2,5,6]=>[3,5,2,1,6,7,4]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[5,3,1,7,2,4,6]=>[3,5,2,6,1,7,4]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[4,3,1,2,7,5,6]=>[3,4,2,1,6,7,5]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[7,3,1,2,4,5,6]=>[3,4,2,5,6,7,1]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[6,1,5,4,3,2,7]=>[2,6,5,4,3,1,7]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[5,1,4,3,2,6,7]=>[2,5,4,3,1,6,7]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[6,1,4,3,2,5,7]=>[2,5,4,3,6,1,7]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[5,1,4,3,6,2,7]=>[2,6,4,3,1,5,7]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[4,1,3,2,5,6,7]=>[2,4,3,1,5,6,7]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[6,1,5,3,2,4,7]=>[2,5,4,6,3,1,7]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[5,1,3,2,4,6,7]=>[2,4,3,5,1,6,7]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[6,1,3,2,4,5,7]=>[2,4,3,5,6,1,7]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[5,1,4,6,3,2,7]=>[2,6,5,3,1,4,7]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[4,1,3,5,2,6,7]=>[2,5,3,1,4,6,7]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[5,1,3,4,2,6,7]=>[2,5,3,4,1,6,7]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[4,1,3,5,6,2,7]=>[2,6,3,1,4,5,7]
[[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[7,6,5,2,1,4,3]=>[5,4,7,6,3,2,1]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[6,5,2,1,4,7,3]=>[4,3,7,5,2,1,6]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[7,5,2,1,4,6,3]=>[4,3,7,5,2,6,1]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[6,5,2,4,1,7,3]=>[5,3,7,4,2,1,6]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[5,2,1,4,6,7,3]=>[3,2,7,4,1,5,6]
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[7,6,2,1,4,5,3]=>[4,3,7,5,6,2,1]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[6,2,1,4,5,7,3]=>[3,2,7,4,5,1,6]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[7,2,1,4,5,6,3]=>[3,2,7,4,5,6,1]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[6,2,5,4,1,7,3]=>[5,2,7,4,3,1,6]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[5,2,4,1,6,7,3]=>[4,2,7,3,1,5,6]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[6,2,4,1,5,7,3]=>[4,2,7,3,5,1,6]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[5,2,4,6,1,7,3]=>[5,2,7,3,1,4,6]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[2,1,4,5,6,7,3]=>[2,1,7,3,4,5,6]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]=>[5,6,7,4,3,2,1]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[6,5,4,1,2,3,7]=>[4,5,6,3,2,1,7]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[7,5,4,1,2,3,6]=>[4,5,6,3,2,7,1]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[6,5,1,4,2,3,7]=>[3,5,6,4,2,1,7]
[[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[5,4,1,2,3,6,7]=>[3,4,5,2,1,6,7]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>[4,5,6,3,7,2,1]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[6,4,1,2,3,5,7]=>[3,4,5,2,6,1,7]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[5,4,1,7,2,3,6]=>[3,5,6,2,1,7,4]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[7,4,1,2,3,5,6]=>[3,4,5,2,6,7,1]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[6,1,5,4,2,3,7]=>[2,5,6,4,3,1,7]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[5,1,4,2,3,6,7]=>[2,4,5,3,1,6,7]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[6,1,4,2,3,5,7]=>[2,4,5,3,6,1,7]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[5,1,2,4,3,6,7]=>[2,3,5,4,1,6,7]
[[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[3,2,1,6,7,5,4]=>[3,2,1,7,6,4,5]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[3,2,1,5,7,6,4]=>[3,2,1,7,4,6,5]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[3,2,6,1,7,5,4]=>[4,2,1,7,6,3,5]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[3,2,5,6,7,4,1]=>[7,2,1,6,3,4,5]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[7,6,2,1,5,3,4]=>[4,3,6,7,5,2,1]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[6,2,1,3,5,4,7]=>[3,2,4,6,5,1,7]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[7,2,1,3,5,4,6]=>[3,2,4,6,5,7,1]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[6,2,3,1,5,4,7]=>[4,2,3,6,5,1,7]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[2,1,3,5,6,4,7]=>[2,1,3,6,4,5,7]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[7,6,3,1,5,2,4]=>[4,6,3,7,5,2,1]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[6,3,1,2,5,4,7]=>[3,4,2,6,5,1,7]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[7,3,1,2,5,4,6]=>[3,4,2,6,5,7,1]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[6,1,3,2,5,4,7]=>[2,4,3,6,5,1,7]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[3,1,2,5,6,4,7]=>[2,3,1,6,4,5,7]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[7,6,2,1,3,5,4]=>[4,3,5,7,6,2,1]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[6,2,1,3,5,7,4]=>[3,2,4,7,5,1,6]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[7,2,1,3,5,6,4]=>[3,2,4,7,5,6,1]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[6,2,3,1,5,7,4]=>[4,2,3,7,5,1,6]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[2,1,3,5,6,7,4]=>[2,1,3,7,4,5,6]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[4,5,6,7,3,2,1]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[6,5,1,2,3,4,7]=>[3,4,5,6,2,1,7]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[7,5,1,2,3,4,6]=>[3,4,5,6,2,7,1]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[6,1,5,2,3,4,7]=>[2,4,5,6,3,1,7]
[[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[4,3,2,7,6,5,1]=>[7,3,2,1,6,5,4]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[4,3,6,7,5,2,1]=>[7,6,2,1,5,3,4]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[3,2,1,7,6,4,5]=>[3,2,1,6,7,5,4]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[3,2,4,6,5,1,7]=>[6,2,1,3,5,4,7]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[4,2,1,7,6,3,5]=>[3,2,6,1,7,5,4]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[4,2,3,6,5,1,7]=>[6,2,3,1,5,4,7]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[3,2,1,7,4,6,5]=>[3,2,1,5,7,6,4]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[3,2,4,6,5,7,1]=>[7,2,1,3,5,4,6]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[7,2,1,6,3,4,5]=>[3,2,5,6,7,4,1]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[2,1,3,6,4,5,7]=>[2,1,3,5,6,4,7]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[4,3,1,7,6,2,5]=>[3,6,2,1,7,5,4]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[4,1,3,6,5,2,7]=>[2,6,3,1,5,4,7]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[7,3,1,6,2,4,5]=>[3,5,2,6,7,4,1]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[3,1,2,6,4,5,7]=>[2,3,1,5,6,4,7]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[7,2,1,4,3,6,5]=>[3,2,5,4,7,6,1]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[2,1,4,6,3,7,5]=>[2,1,5,3,7,4,6]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[7,4,1,6,2,3,5]=>[3,5,6,2,7,4,1]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[4,1,2,6,3,5,7]=>[2,3,5,1,6,4,7]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[3,2,4,6,7,5,1]=>[7,2,1,3,6,4,5]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[7,2,1,3,6,4,5]=>[3,2,4,6,7,5,1]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[7,3,1,2,6,4,5]=>[3,4,2,6,7,5,1]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[3,1,2,4,6,5,7]=>[2,3,1,4,6,5,7]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[7,2,1,3,4,6,5]=>[3,2,4,5,7,6,1]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,5,6]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1]
[[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[5,4,7,6,3,2,1]=>[7,6,5,2,1,4,3]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[4,3,7,5,2,1,6]=>[6,5,2,1,4,7,3]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[5,3,7,4,2,1,6]=>[6,5,2,4,1,7,3]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[4,3,7,5,2,6,1]=>[7,5,2,1,4,6,3]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[3,2,7,4,1,5,6]=>[5,2,1,4,6,7,3]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[5,2,7,4,3,1,6]=>[6,2,5,4,1,7,3]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[4,2,7,3,1,5,6]=>[5,2,4,1,6,7,3]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[3,2,5,4,1,7,6]=>[5,2,1,4,3,7,6]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[5,2,7,3,1,4,6]=>[5,2,4,6,1,7,3]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[4,3,7,5,6,2,1]=>[7,6,2,1,4,5,3]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[3,2,7,4,5,1,6]=>[6,2,1,4,5,7,3]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[4,2,7,3,5,1,6]=>[6,2,4,1,5,7,3]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[3,2,7,4,5,6,1]=>[7,2,1,4,5,6,3]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[2,1,7,3,4,5,6]=>[2,1,4,5,6,7,3]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[5,1,7,4,3,2,6]=>[2,6,5,4,1,7,3]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[4,1,7,3,2,5,6]=>[2,5,4,1,6,7,3]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[5,1,7,3,2,4,6]=>[2,5,4,6,1,7,3]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[4,1,7,3,5,2,6]=>[2,6,4,1,5,7,3]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[3,1,7,2,4,5,6]=>[2,4,1,5,6,7,3]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[5,1,7,4,2,3,6]=>[2,5,6,4,1,7,3]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[4,1,7,2,3,5,6]=>[2,4,5,1,6,7,3]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[3,2,5,4,7,6,1]=>[7,2,1,4,3,6,5]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[2,1,5,3,7,4,6]=>[2,1,4,6,3,7,5]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[3,1,5,2,7,4,6]=>[2,4,1,6,3,7,5]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[2,1,5,3,4,7,6]=>[2,1,4,5,3,7,6]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[5,1,7,2,3,4,6]=>[2,4,5,6,1,7,3]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[4,3,5,7,6,2,1]=>[7,6,2,1,3,5,4]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[3,2,4,7,5,1,6]=>[6,2,1,3,5,7,4]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[4,2,3,7,5,1,6]=>[6,2,3,1,5,7,4]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[3,2,4,7,5,6,1]=>[7,2,1,3,5,6,4]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[2,1,3,7,4,5,6]=>[2,1,3,5,6,7,4]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[4,1,3,7,5,2,6]=>[2,6,3,1,5,7,4]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[3,1,2,7,4,5,6]=>[2,3,1,5,6,7,4]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[2,1,4,5,3,7,6]=>[2,1,5,3,4,7,6]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[4,1,2,7,3,5,6]=>[2,3,5,1,6,7,4]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[3,2,4,5,7,6,1]=>[7,2,1,3,4,6,5]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[2,1,3,4,7,5,6]=>[2,1,3,4,6,7,5]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[3,1,2,4,7,5,6]=>[2,3,1,4,6,7,5]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]
[[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2]
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[5,6,4,3,2,1,7]=>[6,5,4,3,1,2,7]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[4,6,5,3,2,1,7]=>[6,5,4,1,3,2,7]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[5,6,4,3,2,7,1]=>[7,5,4,3,1,2,6]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[4,5,3,2,1,6,7]=>[5,4,3,1,2,6,7]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[3,6,5,4,2,1,7]=>[6,5,1,4,3,2,7]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[3,5,4,2,1,6,7]=>[5,4,1,3,2,6,7]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[4,6,3,2,1,7,5]=>[5,4,3,1,7,2,6]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[3,6,4,2,1,5,7]=>[5,4,1,3,6,2,7]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[5,6,4,3,7,2,1]=>[7,6,4,3,1,2,5]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[4,5,3,2,6,1,7]=>[6,4,3,1,2,5,7]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[3,5,4,2,6,1,7]=>[6,4,1,3,2,5,7]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>[7,4,3,1,2,5,6]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[3,4,2,1,5,6,7]=>[4,3,1,2,5,6,7]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[2,6,5,4,3,1,7]=>[6,1,5,4,3,2,7]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[2,5,4,3,1,6,7]=>[5,1,4,3,2,6,7]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[2,6,4,3,1,5,7]=>[5,1,4,3,6,2,7]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[2,5,4,3,6,1,7]=>[6,1,4,3,2,5,7]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[2,4,3,1,5,6,7]=>[4,1,3,2,5,6,7]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[3,6,5,2,1,7,4]=>[5,4,1,7,3,2,6]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[3,5,2,1,6,7,4]=>[4,3,1,7,2,5,6]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[2,6,5,3,1,4,7]=>[5,1,4,6,3,2,7]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[2,5,3,1,4,6,7]=>[4,1,3,5,2,6,7]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[4,6,3,2,7,5,1]=>[7,4,3,1,6,2,5]
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[3,4,2,1,6,5,7]=>[4,3,1,2,6,5,7]
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[2,4,3,1,6,5,7]=>[4,1,3,2,6,5,7]
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[3,4,2,1,6,7,5]=>[4,3,1,2,7,5,6]
[[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[2,6,3,1,4,5,7]=>[4,1,3,5,6,2,7]
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[5,6,4,7,3,2,1]=>[7,6,5,3,1,2,4]
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[4,5,3,6,2,1,7]=>[6,5,3,1,2,4,7]
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[3,5,4,6,2,1,7]=>[6,5,1,3,2,4,7]
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>[7,5,3,1,2,4,6]
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[3,4,2,5,1,6,7]=>[5,3,1,2,4,6,7]
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[2,5,4,6,3,1,7]=>[6,1,5,3,2,4,7]
[[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[2,4,3,5,1,6,7]=>[5,1,3,2,4,6,7]
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[3,5,2,6,1,7,4]=>[5,3,1,7,2,4,6]
[[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[2,5,3,4,1,6,7]=>[5,1,3,4,2,6,7]
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[4,5,3,6,7,2,1]=>[7,6,3,1,2,4,5]
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[3,4,2,5,6,1,7]=>[6,3,1,2,4,5,7]
[[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[6,1,3,2,4,5,7]
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[3,4,2,5,6,7,1]=>[7,3,1,2,4,5,6]
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[1,6,4,3,2,5,7]=>[1,5,4,3,6,2,7]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[1,5,4,3,6,2,7]=>[1,6,4,3,2,5,7]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[1,6,5,3,2,4,7]=>[1,5,4,6,3,2,7]
[[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[1,5,3,2,4,6,7]=>[1,4,3,5,2,6,7]
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[1,6,3,2,4,5,7]=>[1,4,3,5,6,2,7]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[1,5,4,6,3,2,7]=>[1,6,5,3,2,4,7]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[1,4,3,5,2,6,7]=>[1,5,3,2,4,6,7]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[1,5,3,4,2,6,7]=>[1,5,3,4,2,6,7]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[1,4,3,5,6,2,7]=>[1,6,3,2,4,5,7]
[[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[2,6,5,4,1,7,3]=>[5,1,7,4,3,2,6]
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[2,5,4,1,6,7,3]=>[4,1,7,3,2,5,6]
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[2,6,4,1,5,7,3]=>[4,1,7,3,5,2,6]
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[2,5,4,6,1,7,3]=>[5,1,7,3,2,4,6]
[[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[2,4,1,5,6,7,3]=>[3,1,7,2,4,5,6]
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[1,6,5,4,2,3,7]=>[1,5,6,4,3,2,7]
[[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[1,5,4,2,3,6,7]=>[1,4,5,3,2,6,7]
[[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[1,6,4,2,3,5,7]=>[1,4,5,3,6,2,7]
[[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[1,5,2,4,3,6,7]=>[1,3,5,4,2,6,7]
[[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7]
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[3,6,2,1,7,5,4]=>[4,3,1,7,6,2,5]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[3,5,2,6,7,4,1]=>[7,3,1,6,2,4,5]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[2,6,3,1,5,4,7]=>[4,1,3,6,5,2,7]
[[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[2,3,1,5,6,4,7]=>[3,1,2,6,4,5,7]
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,4,5,7]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[2,6,3,1,5,7,4]=>[4,1,3,7,5,2,6]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[2,3,1,5,6,7,4]=>[3,1,2,7,4,5,6]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[1,6,5,2,3,4,7]=>[1,4,5,6,3,2,7]
[[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[4,6,3,7,5,2,1]=>[7,6,3,1,5,2,4]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[3,4,2,6,5,1,7]=>[6,3,1,2,5,4,7]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[2,4,3,6,5,1,7]=>[6,1,3,2,5,4,7]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[3,4,2,6,5,7,1]=>[7,3,1,2,5,4,6]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[2,3,1,6,4,5,7]=>[3,1,2,5,6,4,7]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[1,4,3,6,5,2,7]=>[1,6,3,2,5,4,7]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[2,4,1,6,3,7,5]=>[3,1,5,2,7,4,6]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[1,4,2,6,3,5,7]=>[1,3,5,2,6,4,7]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[3,4,2,6,7,5,1]=>[7,3,1,2,6,4,5]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>[3,1,2,4,6,5,7]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[2,3,1,4,6,7,5]=>[3,1,2,4,7,5,6]
[[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3]
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[4,5,6,3,2,1,7]=>[6,5,4,1,2,3,7]
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[3,5,6,4,2,1,7]=>[6,5,1,4,2,3,7]
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[4,5,6,3,2,7,1]=>[7,5,4,1,2,3,6]
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]=>[5,4,1,2,3,6,7]
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[2,5,6,4,3,1,7]=>[6,1,5,4,2,3,7]
[[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[2,4,5,3,1,6,7]=>[5,1,4,2,3,6,7]
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[3,5,6,2,1,7,4]=>[5,4,1,7,2,3,6]
[[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[2,3,5,4,1,6,7]=>[5,1,2,4,3,6,7]
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>[7,6,4,1,2,3,5]
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[3,4,5,2,6,1,7]=>[6,4,1,2,3,5,7]
[[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[2,4,5,3,6,1,7]=>[6,1,4,2,3,5,7]
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[3,4,5,2,6,7,1]=>[7,4,1,2,3,5,6]
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[1,5,6,4,3,2,7]=>[1,6,5,4,2,3,7]
[[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[1,4,5,3,2,6,7]=>[1,5,4,2,3,6,7]
[[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[1,3,5,4,2,6,7]=>[1,5,2,4,3,6,7]
[[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[1,4,5,3,6,2,7]=>[1,6,4,2,3,5,7]
[[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[1,3,4,2,5,6,7]=>[1,4,2,3,5,6,7]
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[2,5,6,4,1,7,3]=>[5,1,7,4,2,3,6]
[[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[2,4,5,1,6,7,3]=>[4,1,7,2,3,5,6]
[[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]
[[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[3,5,6,2,7,4,1]=>[7,4,1,6,2,3,5]
[[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[2,3,5,1,6,4,7]=>[4,1,2,6,3,5,7]
[[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[1,3,5,2,6,4,7]=>[1,4,2,6,3,5,7]
[[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[2,3,5,1,6,7,4]=>[4,1,2,7,3,5,6]
[[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7]
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4]
[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[3,4,5,6,2,1,7]=>[6,5,1,2,3,4,7]
[[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[2,4,5,6,3,1,7]=>[6,1,5,2,3,4,7]
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[3,4,5,6,2,7,1]=>[7,5,1,2,3,4,6]
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]
[[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[1,4,5,6,3,2,7]=>[1,6,5,2,3,4,7]
[[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[1,3,4,5,2,6,7]=>[1,5,2,3,4,6,7]
[[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[2,4,5,6,1,7,3]=>[5,1,7,2,3,4,6]
[[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,3,4,6,7]
[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5]
[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]
[[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7]
[[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]
[[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[6,8,7,5,4,3,2,1]=>[8,6,5,4,3,2,1,7]=>[7,6,5,4,3,2,8,1]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[7,6,5,4,3,2,8,1]=>[8,6,5,4,3,2,1,7]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[5,8,7,6,4,3,2,1]=>[8,7,5,4,3,2,1,6]=>[7,6,5,4,3,8,2,1]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[5,7,8,6,4,3,2,1]=>[7,5,4,3,2,1,6,8]=>[6,5,4,3,2,7,1,8]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[6,5,8,7,4,3,2,1]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[5,6,8,7,4,3,2,1]=>[8,5,4,3,2,1,6,7]=>[6,5,4,3,2,7,8,1]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[7,6,5,4,3,8,2,1]=>[8,7,5,4,3,2,1,6]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[6,5,4,3,2,7,1,8]=>[7,5,4,3,2,1,6,8]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[5,7,6,8,4,3,2,1]=>[7,5,4,3,2,6,1,8]=>[7,5,4,3,2,6,1,8]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[6,5,4,3,2,7,8,1]=>[8,5,4,3,2,1,6,7]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[4,8,7,6,5,3,2,1]=>[8,7,6,4,3,2,1,5]=>[7,6,5,4,8,3,2,1]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[4,7,8,6,5,3,2,1]=>[7,6,4,3,2,1,5,8]=>[6,5,4,3,7,2,1,8]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[4,6,8,7,5,3,2,1]=>[8,6,4,3,2,1,5,7]=>[6,5,4,3,7,2,8,1]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[4,7,6,8,5,3,2,1]=>[7,6,4,3,2,5,1,8]=>[7,5,4,3,6,2,1,8]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[4,6,7,8,5,3,2,1]=>[6,4,3,2,1,5,7,8]=>[5,4,3,2,6,1,7,8]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[5,4,7,8,6,3,2,1]=>[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,8,6,7]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[4,5,8,7,6,3,2,1]=>[8,7,4,3,2,1,5,6]=>[6,5,4,3,7,8,2,1]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[4,5,7,8,6,3,2,1]=>[7,4,3,2,1,5,6,8]=>[5,4,3,2,6,7,1,8]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[6,5,4,8,7,3,2,1]=>[6,5,4,3,2,8,7,1]=>[8,5,4,3,2,1,7,6]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[5,6,4,8,7,3,2,1]=>[5,4,3,2,1,8,6,7]=>[5,4,3,2,1,7,8,6]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[4,6,5,8,7,3,2,1]=>[6,4,3,2,1,8,5,7]=>[5,4,3,2,7,1,8,6]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[4,5,6,8,7,3,2,1]=>[8,4,3,2,1,5,6,7]=>[5,4,3,2,6,7,8,1]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[7,6,5,4,8,3,2,1]=>[8,7,6,4,3,2,1,5]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[6,5,4,3,7,2,1,8]=>[7,6,4,3,2,1,5,8]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[5,7,6,4,8,3,2,1]=>[7,5,4,3,6,2,1,8]=>[7,6,4,3,2,5,1,8]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[6,5,4,3,7,2,8,1]=>[8,6,4,3,2,1,5,7]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[5,4,3,2,6,1,7,8]=>[6,4,3,2,1,5,7,8]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[4,7,6,5,8,3,2,1]=>[7,6,4,3,5,2,1,8]=>[7,6,4,3,5,2,1,8]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[4,6,7,5,8,3,2,1]=>[6,4,3,2,5,1,7,8]=>[6,4,3,2,5,1,7,8]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[5,4,7,6,8,3,2,1]=>[5,4,3,2,7,1,8,6]=>[6,4,3,2,1,8,5,7]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[4,5,7,6,8,3,2,1]=>[7,4,3,2,5,1,6,8]=>[6,4,3,2,5,7,1,8]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[6,5,4,3,7,8,2,1]=>[8,7,4,3,2,1,5,6]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[5,4,3,2,6,7,1,8]=>[7,4,3,2,1,5,6,8]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[4,6,5,7,8,3,2,1]=>[6,4,3,2,5,7,1,8]=>[7,4,3,2,5,1,6,8]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[5,4,3,2,6,7,8,1]=>[8,4,3,2,1,5,6,7]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[3,8,7,6,5,4,2,1]=>[8,7,6,5,3,2,1,4]=>[7,6,5,8,4,3,2,1]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[3,7,8,6,5,4,2,1]=>[7,6,5,3,2,1,4,8]=>[6,5,4,7,3,2,1,8]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[3,6,8,7,5,4,2,1]=>[8,6,5,3,2,1,4,7]=>[6,5,4,7,3,2,8,1]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[3,7,6,8,5,4,2,1]=>[7,6,5,3,2,4,1,8]=>[7,5,4,6,3,2,1,8]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[3,5,8,7,6,4,2,1]=>[8,7,5,3,2,1,4,6]=>[6,5,4,7,3,8,2,1]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[3,5,7,8,6,4,2,1]=>[7,5,3,2,1,4,6,8]=>[5,4,3,6,2,7,1,8]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[3,5,6,8,7,4,2,1]=>[8,5,3,2,1,4,6,7]=>[5,4,3,6,2,7,8,1]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[3,7,6,5,8,4,2,1]=>[7,6,5,3,4,2,1,8]=>[7,6,4,5,3,2,1,8]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[3,6,7,5,8,4,2,1]=>[6,5,3,2,4,1,7,8]=>[6,4,3,5,2,1,7,8]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>[3,5,7,6,8,4,2,1]=>[7,5,3,2,4,1,6,8]=>[6,4,3,5,2,7,1,8]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>[5,3,2,1,4,6,7,8]=>[4,3,2,5,1,6,7,8]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[4,3,8,7,6,5,2,1]=>[8,7,4,3,2,1,6,5]=>[6,5,4,3,8,7,2,1]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[4,3,7,8,6,5,2,1]=>[7,4,3,2,1,6,8,5]=>[5,4,3,2,8,6,1,7]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[4,3,6,7,8,5,2,1]=>[4,3,2,1,6,7,8,5]=>[4,3,2,1,8,5,6,7]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[3,4,8,7,6,5,2,1]=>[8,7,6,3,2,1,4,5]=>[6,5,4,7,8,3,2,1]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[3,4,6,7,8,5,2,1]=>[6,3,2,1,4,5,7,8]=>[4,3,2,5,6,1,7,8]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[5,4,3,8,7,6,2,1]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[5,4,3,7,8,6,2,1]=>[5,4,3,2,7,8,6,1]=>[8,4,3,2,1,7,5,6]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[3,5,4,7,8,6,2,1]=>[5,3,2,1,4,7,6,8]=>[4,3,2,5,1,7,6,8]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[3,4,5,8,7,6,2,1]=>[8,7,3,2,1,4,5,6]=>[5,4,3,6,7,8,2,1]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>[3,4,5,7,8,6,2,1]=>[7,3,2,1,4,5,6,8]=>[4,3,2,5,6,7,1,8]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[6,5,4,3,8,7,2,1]=>[6,5,4,3,8,7,2,1]=>[8,7,4,3,2,1,6,5]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[5,6,4,3,8,7,2,1]=>[5,4,3,2,8,6,1,7]=>[7,4,3,2,1,6,8,5]
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>[4,5,6,3,8,7,2,1]=>[4,3,2,1,8,5,6,7]=>[4,3,2,1,6,7,8,5]
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>[3,6,5,4,8,7,2,1]=>[6,5,3,2,8,4,1,7]=>[7,4,3,6,2,1,8,5]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[4,3,6,5,8,7,2,1]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[5,4,3,6,8,7,2,1]=>[5,4,3,2,6,8,7,1]=>[8,4,3,2,1,5,7,6]
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>[4,5,3,6,8,7,2,1]=>[4,3,2,1,5,8,6,7]=>[4,3,2,1,5,7,8,6]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>[3,4,5,6,8,7,2,1]=>[8,3,2,1,4,5,6,7]=>[4,3,2,5,6,7,8,1]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[7,6,5,8,4,3,2,1]=>[8,7,6,5,3,2,1,4]
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[6,7,5,4,3,8,2,1]=>[6,5,4,7,3,2,1,8]=>[7,6,5,3,2,1,4,8]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[5,7,6,4,3,8,2,1]=>[7,5,4,6,3,2,1,8]=>[7,6,5,3,2,4,1,8]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]=>[6,5,7,4,3,8,2,1]=>[6,5,4,7,3,2,8,1]=>[8,6,5,3,2,1,4,7]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]=>[5,6,7,4,3,8,2,1]=>[5,4,3,6,2,1,7,8]=>[6,5,3,2,1,4,7,8]
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[4,7,6,5,3,8,2,1]=>[7,6,4,5,3,2,1,8]=>[7,6,5,3,4,2,1,8]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[5,4,7,6,3,8,2,1]=>[5,4,3,7,2,1,8,6]=>[6,5,3,2,1,8,4,7]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[6,5,4,7,3,8,2,1]=>[6,5,4,7,3,8,2,1]=>[8,7,5,3,2,1,4,6]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[5,4,3,6,2,7,8,1]=>[8,5,3,2,1,4,6,7]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[4,3,2,5,1,6,7,8]=>[5,3,2,1,4,6,7,8]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>[3,7,6,5,4,8,2,1]=>[7,6,3,5,4,2,1,8]=>[7,6,3,5,4,2,1,8]
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]=>[3,5,7,6,4,8,2,1]=>[7,5,3,4,2,1,6,8]=>[6,5,3,4,2,7,1,8]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>[3,5,6,7,4,8,2,1]=>[5,3,2,4,1,6,7,8]=>[5,3,2,4,1,6,7,8]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>[4,3,7,6,5,8,2,1]=>[7,4,3,6,2,1,8,5]=>[6,5,3,2,8,4,1,7]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[3,4,7,6,5,8,2,1]=>[7,6,3,4,2,1,5,8]=>[6,5,3,4,7,2,1,8]
[.,[.,[[[[.,.],.],[[.,.],.]],.]]]=>[3,4,6,7,5,8,2,1]=>[6,3,2,4,1,5,7,8]=>[5,3,2,4,6,1,7,8]
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>[4,5,3,7,6,8,2,1]=>[4,3,2,5,1,7,6,8]=>[5,3,2,1,4,7,6,8]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[3,5,4,7,6,8,2,1]=>[5,3,2,4,1,7,6,8]=>[5,3,2,4,1,7,6,8]
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>[4,3,5,7,6,8,2,1]=>[4,3,2,5,1,7,8,6]=>[5,3,2,1,4,8,6,7]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>[3,4,5,7,6,8,2,1]=>[7,3,2,4,1,5,6,8]=>[5,3,2,4,6,7,1,8]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[6,5,4,7,8,3,2,1]=>[8,7,6,3,2,1,4,5]
[.,[.,[[[.,[[[.,.],.],.]],.],.]]]=>[4,5,6,3,7,8,2,1]=>[4,3,2,5,6,1,7,8]=>[6,3,2,1,4,5,7,8]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]=>[3,6,5,4,7,8,2,1]=>[6,5,3,4,7,2,1,8]=>[7,6,3,4,2,1,5,8]
[.,[.,[[[[.,.],[[.,.],.]],.],.]]]=>[3,5,6,4,7,8,2,1]=>[5,3,2,4,6,1,7,8]=>[6,3,2,4,1,5,7,8]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>[4,3,6,5,7,8,2,1]=>[4,3,2,6,7,1,8,5]=>[6,3,2,1,8,4,5,7]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[3,4,6,5,7,8,2,1]=>[6,3,2,4,5,1,7,8]=>[6,3,2,4,5,1,7,8]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]]=>[5,4,3,6,7,8,2,1]=>[5,4,3,6,7,8,2,1]=>[8,7,3,2,1,4,5,6]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]]=>[3,5,4,6,7,8,2,1]=>[5,3,2,4,6,7,1,8]=>[7,3,2,4,1,5,6,8]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[4,3,5,6,7,8,2,1]=>[4,3,2,5,6,7,8,1]=>[8,3,2,1,4,5,6,7]
[.,[.,[[[[[[.,.],.],.],.],.],.]]]=>[3,4,5,6,7,8,2,1]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,8,7,6,5,4,3,1]=>[8,7,6,5,4,2,1,3]=>[7,6,8,5,4,3,2,1]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[2,7,8,6,5,4,3,1]=>[7,6,5,4,2,1,3,8]=>[6,5,7,4,3,2,1,8]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[2,6,8,7,5,4,3,1]=>[8,6,5,4,2,1,3,7]=>[6,5,7,4,3,2,8,1]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[2,7,6,8,5,4,3,1]=>[7,6,5,4,2,3,1,8]=>[7,5,6,4,3,2,1,8]
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>[2,6,7,8,5,4,3,1]=>[6,5,4,2,1,3,7,8]=>[5,4,6,3,2,1,7,8]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[2,5,8,7,6,4,3,1]=>[8,7,5,4,2,1,3,6]=>[6,5,7,4,3,8,2,1]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[2,6,7,5,8,4,3,1]=>[6,5,4,2,3,1,7,8]=>[6,4,5,3,2,1,7,8]
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>[2,6,5,7,8,4,3,1]=>[6,5,4,2,3,7,1,8]=>[7,4,5,3,2,1,6,8]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[2,5,6,7,8,4,3,1]=>[5,4,2,1,3,6,7,8]=>[4,3,5,2,1,6,7,8]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[2,4,8,7,6,5,3,1]=>[8,7,6,4,2,1,3,5]=>[6,5,7,4,8,3,2,1]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[2,4,7,8,6,5,3,1]=>[7,6,4,2,1,3,5,8]=>[5,4,6,3,7,2,1,8]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[2,4,6,8,7,5,3,1]=>[8,6,4,2,1,3,5,7]=>[5,4,6,3,7,2,8,1]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[2,4,6,7,8,5,3,1]=>[6,4,2,1,3,5,7,8]=>[4,3,5,2,6,1,7,8]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[2,5,4,8,7,6,3,1]=>[8,5,4,2,1,7,3,6]=>[5,4,7,3,2,8,6,1]
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[2,5,4,7,8,6,3,1]=>[5,4,2,1,3,7,6,8]=>[4,3,5,2,1,7,6,8]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[2,4,5,7,8,6,3,1]=>[7,4,2,1,3,5,6,8]=>[4,3,5,2,6,7,1,8]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[2,6,5,4,8,7,3,1]=>[6,5,4,2,8,3,1,7]=>[7,4,6,3,2,1,8,5]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[2,5,6,4,8,7,3,1]=>[5,4,2,1,8,3,6,7]=>[4,3,6,2,1,7,8,5]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[2,4,6,5,8,7,3,1]=>[6,4,2,1,8,3,5,7]=>[4,3,6,2,7,1,8,5]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[2,4,5,6,8,7,3,1]=>[8,4,2,1,3,5,6,7]=>[4,3,5,2,6,7,8,1]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[2,7,6,5,4,8,3,1]=>[7,6,2,5,4,3,1,8]=>[7,3,6,5,4,2,1,8]
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[2,6,7,5,4,8,3,1]=>[6,5,2,4,3,1,7,8]=>[6,3,5,4,2,1,7,8]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>[2,5,6,7,4,8,3,1]=>[5,4,2,3,1,6,7,8]=>[5,3,4,2,1,6,7,8]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[2,4,7,6,5,8,3,1]=>[7,6,2,4,3,1,5,8]=>[6,3,5,4,7,2,1,8]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[2,4,6,7,5,8,3,1]=>[6,4,2,3,1,5,7,8]=>[5,3,4,2,6,1,7,8]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[2,5,4,7,6,8,3,1]=>[5,4,2,3,1,7,6,8]=>[5,3,4,2,1,7,6,8]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>[2,6,5,4,7,8,3,1]=>[6,5,2,4,7,3,1,8]=>[7,3,6,4,2,1,5,8]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[2,5,6,4,7,8,3,1]=>[5,4,2,3,6,1,7,8]=>[6,3,4,2,1,5,7,8]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>[2,4,6,5,7,8,3,1]=>[6,4,2,3,5,1,7,8]=>[6,3,4,2,5,1,7,8]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>[2,5,4,6,7,8,3,1]=>[5,4,2,3,6,7,1,8]=>[7,3,4,2,1,5,6,8]
[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[2,4,5,6,7,8,3,1]=>[4,2,1,3,5,6,7,8]=>[3,2,4,1,5,6,7,8]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[3,2,8,7,6,5,4,1]=>[8,7,6,3,2,1,5,4]=>[6,5,4,8,7,3,2,1]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[3,2,7,8,6,5,4,1]=>[7,6,3,2,1,5,8,4]=>[5,4,3,8,6,2,1,7]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[3,2,6,8,7,5,4,1]=>[8,6,3,2,1,5,7,4]=>[5,4,3,8,6,2,7,1]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[3,2,5,7,8,6,4,1]=>[7,3,2,1,5,6,8,4]=>[4,3,2,8,5,6,1,7]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[3,2,6,7,5,8,4,1]=>[6,3,2,5,1,7,8,4]=>[5,3,2,8,4,1,6,7]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[3,2,5,7,6,8,4,1]=>[7,3,2,5,1,6,8,4]=>[5,3,2,8,4,6,1,7]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[3,2,5,6,7,8,4,1]=>[3,2,1,5,6,7,8,4]=>[3,2,1,8,4,5,6,7]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[2,3,8,7,6,5,4,1]=>[8,7,6,5,2,1,3,4]=>[6,5,7,8,4,3,2,1]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[2,3,6,7,8,5,4,1]=>[6,5,2,1,3,4,7,8]=>[4,3,5,6,2,1,7,8]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[2,3,5,7,8,6,4,1]=>[7,5,2,1,3,4,6,8]=>[4,3,5,6,2,7,1,8]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[2,3,6,5,8,7,4,1]=>[6,5,2,1,8,3,4,7]=>[4,3,6,7,2,1,8,5]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[2,3,5,6,8,7,4,1]=>[8,5,2,1,3,4,6,7]=>[4,3,5,6,2,7,8,1]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[2,3,7,6,5,8,4,1]=>[7,6,2,5,3,1,4,8]=>[6,3,5,7,4,2,1,8]
[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>[2,3,5,7,6,8,4,1]=>[7,5,2,3,1,4,6,8]=>[5,3,4,6,2,7,1,8]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[2,3,5,6,7,8,4,1]=>[5,2,1,3,4,6,7,8]=>[3,2,4,5,1,6,7,8]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[4,3,2,8,7,6,5,1]=>[8,4,3,2,1,7,6,5]=>[5,4,3,2,8,7,6,1]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[4,3,2,7,8,6,5,1]=>[4,3,2,1,7,8,6,5]=>[4,3,2,1,8,7,5,6]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[3,4,2,8,7,6,5,1]=>[8,7,3,2,1,6,4,5]=>[5,4,3,7,8,6,2,1]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[3,4,2,7,8,6,5,1]=>[7,3,2,1,4,6,5,8]=>[4,3,2,5,7,6,1,8]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[2,4,3,8,7,6,5,1]=>[8,7,4,2,1,6,3,5]=>[5,4,7,3,8,6,2,1]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[2,4,3,6,8,7,5,1]=>[8,4,2,1,3,6,5,7]=>[4,3,5,2,7,6,8,1]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[2,4,3,6,7,8,5,1]=>[4,2,1,3,6,7,5,8]=>[3,2,4,1,7,5,6,8]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[3,2,4,8,7,6,5,1]=>[8,7,3,2,1,4,6,5]=>[5,4,3,6,8,7,2,1]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>[3,2,4,7,8,6,5,1]=>[7,3,2,1,4,6,8,5]=>[4,3,2,5,8,6,1,7]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[2,3,4,8,7,6,5,1]=>[8,7,6,2,1,3,4,5]=>[5,4,6,7,8,3,2,1]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[2,3,4,7,8,6,5,1]=>[7,6,2,1,3,4,5,8]=>[4,3,5,6,7,2,1,8]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[2,3,4,6,8,7,5,1]=>[8,6,2,1,3,4,5,7]=>[4,3,5,6,7,2,8,1]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[2,3,4,7,6,8,5,1]=>[7,6,2,3,1,4,5,8]=>[5,3,4,6,7,2,1,8]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[2,3,4,6,7,8,5,1]=>[6,2,1,3,4,5,7,8]=>[3,2,4,5,6,1,7,8]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[5,4,3,2,8,7,6,1]=>[5,4,3,2,8,7,6,1]=>[8,4,3,2,1,7,6,5]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[5,4,3,2,7,8,6,1]=>[5,4,3,7,8,6,2,1]=>[8,7,3,2,1,6,4,5]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[3,5,4,2,7,8,6,1]=>[5,3,2,4,7,6,1,8]=>[7,3,2,4,1,6,5,8]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[3,4,5,2,7,8,6,1]=>[3,2,1,4,7,5,6,8]=>[3,2,1,4,6,7,5,8]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[2,5,4,3,8,7,6,1]=>[5,4,2,1,8,7,3,6]=>[4,3,7,2,1,8,6,5]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[2,5,4,3,7,8,6,1]=>[5,4,2,3,7,6,1,8]=>[7,3,4,2,1,6,5,8]
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[2,4,5,3,8,7,6,1]=>[8,4,2,1,7,3,5,6]=>[4,3,6,2,7,8,5,1]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[2,4,5,3,7,8,6,1]=>[4,2,1,3,7,5,6,8]=>[3,2,4,1,6,7,5,8]
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[3,2,5,4,7,8,6,1]=>[3,2,1,5,7,4,8,6]=>[3,2,1,6,4,8,5,7]
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[2,3,5,4,8,7,6,1]=>[8,5,2,1,7,3,4,6]=>[4,3,6,7,2,8,5,1]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[2,3,5,4,7,8,6,1]=>[5,2,1,3,7,4,6,8]=>[3,2,4,6,1,7,5,8]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[4,3,2,5,8,7,6,1]=>[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[4,3,2,5,7,8,6,1]=>[4,3,2,5,7,8,6,1]=>[8,3,2,1,4,7,5,6]
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>[3,4,2,5,8,7,6,1]=>[8,3,2,1,4,7,5,6]=>[4,3,2,5,7,8,6,1]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[3,4,2,5,7,8,6,1]=>[3,2,1,4,5,7,6,8]=>[3,2,1,4,5,7,6,8]
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>[2,4,3,5,8,7,6,1]=>[8,4,2,1,3,7,5,6]=>[4,3,5,2,7,8,6,1]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[3,2,4,5,7,8,6,1]=>[3,2,1,4,5,7,8,6]=>[3,2,1,4,5,8,6,7]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[2,3,4,5,8,7,6,1]=>[8,7,2,1,3,4,5,6]=>[4,3,5,6,7,8,2,1]
[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[2,3,4,5,7,8,6,1]=>[7,2,1,3,4,5,6,8]=>[3,2,4,5,6,7,1,8]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[6,5,4,3,2,8,7,1]=>[6,5,4,8,7,3,2,1]=>[8,7,6,3,2,1,5,4]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[4,6,5,3,2,8,7,1]=>[6,4,3,8,5,2,1,7]=>[7,6,3,2,5,1,8,4]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[5,4,6,3,2,8,7,1]=>[5,4,3,8,6,2,7,1]=>[8,6,3,2,1,5,7,4]
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>[4,5,6,3,2,8,7,1]=>[4,3,2,8,5,1,6,7]=>[6,3,2,1,5,7,8,4]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[3,6,5,4,2,8,7,1]=>[6,5,3,8,4,2,1,7]=>[7,6,3,5,2,1,8,4]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[3,5,6,4,2,8,7,1]=>[5,3,2,8,4,1,6,7]=>[6,3,2,5,1,7,8,4]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[4,3,6,5,2,8,7,1]=>[4,3,2,6,5,1,8,7]=>[6,3,2,1,5,4,8,7]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[5,4,3,6,2,8,7,1]=>[5,4,3,8,6,7,2,1]=>[8,7,3,2,1,5,6,4]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[4,5,3,6,2,8,7,1]=>[4,3,2,8,5,6,1,7]=>[7,3,2,1,5,6,8,4]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]]=>[3,4,5,6,2,8,7,1]=>[3,2,1,8,4,5,6,7]=>[3,2,1,5,6,7,8,4]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[2,6,5,4,3,8,7,1]=>[6,5,2,8,4,3,1,7]=>[7,3,6,5,2,1,8,4]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[2,4,6,5,3,8,7,1]=>[6,4,2,8,3,1,5,7]=>[6,3,5,2,7,1,8,4]
[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>[2,4,5,6,3,8,7,1]=>[4,2,1,8,3,5,6,7]=>[3,2,5,1,6,7,8,4]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[3,2,6,5,4,8,7,1]=>[6,3,2,5,4,1,8,7]=>[6,3,2,5,4,1,8,7]
[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>[2,3,5,6,4,8,7,1]=>[5,2,1,8,3,4,6,7]=>[3,2,5,6,1,7,8,4]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[4,3,2,6,5,8,7,1]=>[4,3,2,6,5,8,7,1]=>[8,3,2,1,5,4,7,6]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,1]=>[4,2,1,6,3,8,5,7]=>[3,2,5,1,7,4,8,6]
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>[3,2,4,6,5,8,7,1]=>[3,2,1,6,4,5,8,7]=>[3,2,1,5,6,4,8,7]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[2,3,4,6,5,8,7,1]=>[6,2,1,8,3,4,5,7]=>[3,2,5,6,7,1,8,4]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[5,4,3,2,6,8,7,1]=>[5,4,3,6,8,7,2,1]=>[8,7,3,2,1,4,6,5]
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>[4,5,3,2,6,8,7,1]=>[4,3,2,5,8,6,1,7]=>[7,3,2,1,4,6,8,5]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[2,5,4,3,6,8,7,1]=>[5,4,2,3,8,6,1,7]=>[7,3,4,2,1,6,8,5]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[2,4,5,3,6,8,7,1]=>[4,2,1,3,8,5,6,7]=>[3,2,4,1,6,7,8,5]
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[3,2,5,4,6,8,7,1]=>[3,2,1,5,6,4,8,7]=>[3,2,1,6,4,5,8,7]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>[4,3,2,5,6,8,7,1]=>[4,3,2,5,6,8,7,1]=>[8,3,2,1,4,5,7,6]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[3,4,2,5,6,8,7,1]=>[3,2,1,4,5,8,6,7]=>[3,2,1,4,5,7,8,6]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[2,4,3,5,6,8,7,1]=>[4,2,1,3,5,8,6,7]=>[3,2,4,1,5,7,8,6]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>[3,2,4,5,6,8,7,1]=>[3,2,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]
[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,8,7,1]=>[8,2,1,3,4,5,6,7]=>[3,2,4,5,6,7,8,1]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>[7,6,8,5,4,3,2,1]=>[8,7,6,5,4,2,1,3]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[6,7,5,4,3,2,8,1]=>[6,5,7,4,3,2,1,8]=>[7,6,5,4,2,1,3,8]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[5,7,6,4,3,2,8,1]=>[7,5,6,4,3,2,1,8]=>[7,6,5,4,2,3,1,8]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>[6,5,7,4,3,2,8,1]=>[8,6,5,4,2,1,3,7]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]]=>[5,6,7,4,3,2,8,1]=>[5,4,6,3,2,1,7,8]=>[6,5,4,2,1,3,7,8]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[4,7,6,5,3,2,8,1]=>[7,4,6,5,3,2,1,8]=>[7,6,5,2,4,3,1,8]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]=>[4,6,7,5,3,2,8,1]=>[6,4,5,3,2,1,7,8]=>[6,5,4,2,3,1,7,8]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]=>[6,5,4,7,3,2,8,1]=>[6,5,7,4,3,8,2,1]=>[8,7,5,4,2,1,3,6]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[4,6,5,7,3,2,8,1]=>[6,4,5,3,2,7,1,8]=>[7,5,4,2,3,1,6,8]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[4,3,5,2,1,6,7,8]=>[5,4,2,1,3,6,7,8]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[3,5,7,6,4,2,8,1]=>[7,3,5,4,2,1,6,8]=>[6,5,2,4,3,7,1,8]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>[3,5,6,7,4,2,8,1]=>[5,3,4,2,1,6,7,8]=>[5,4,2,3,1,6,7,8]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[4,3,7,6,5,2,8,1]=>[7,4,6,3,2,1,8,5]=>[6,5,4,2,8,3,1,7]
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[4,3,6,7,5,2,8,1]=>[4,3,6,2,1,7,8,5]=>[5,4,2,1,8,3,6,7]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>[3,4,7,6,5,2,8,1]=>[7,3,6,4,2,1,5,8]=>[6,5,2,4,7,3,1,8]
[.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>[3,4,6,7,5,2,8,1]=>[6,3,4,2,1,5,7,8]=>[5,4,2,3,6,1,7,8]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[5,4,3,7,6,2,8,1]=>[5,4,7,3,2,8,6,1]=>[8,5,4,2,1,7,3,6]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[4,5,3,7,6,2,8,1]=>[4,3,5,2,1,7,6,8]=>[5,4,2,1,3,7,6,8]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>[3,5,4,7,6,2,8,1]=>[5,3,4,2,1,7,6,8]=>[5,4,2,3,1,7,6,8]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]]=>[3,4,5,7,6,2,8,1]=>[7,3,4,2,1,5,6,8]=>[5,4,2,3,6,7,1,8]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[6,5,7,4,8,3,2,1]=>[8,7,6,4,2,1,3,5]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[4,6,5,3,7,2,8,1]=>[6,4,5,3,7,2,1,8]=>[7,6,4,2,3,1,5,8]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,8,1]=>[8,6,4,2,1,3,5,7]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[4,3,5,2,6,1,7,8]=>[6,4,2,1,3,5,7,8]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[3,6,5,4,7,2,8,1]=>[6,3,5,4,7,2,1,8]=>[7,6,2,4,3,1,5,8]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[3,5,6,4,7,2,8,1]=>[5,3,4,2,6,1,7,8]=>[6,4,2,3,1,5,7,8]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[4,3,6,5,7,2,8,1]=>[4,3,6,2,7,1,8,5]=>[6,4,2,1,8,3,5,7]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>[3,4,6,5,7,2,8,1]=>[6,3,4,2,5,1,7,8]=>[6,4,2,3,5,1,7,8]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[5,4,6,3,7,8,2,1]=>[8,7,4,2,1,3,5,6]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]]=>[4,5,3,6,7,2,8,1]=>[4,3,5,2,6,7,1,8]=>[7,4,2,1,3,5,6,8]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>[3,5,4,6,7,2,8,1]=>[5,3,4,2,6,7,1,8]=>[7,4,2,3,1,5,6,8]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]]=>[4,3,5,6,7,2,8,1]=>[4,3,5,2,6,7,8,1]=>[8,4,2,1,3,5,6,7]
[.,[[.,[[[[[.,.],.],.],.],.]],.]]=>[3,4,5,6,7,2,8,1]=>[3,2,4,1,5,6,7,8]=>[4,2,1,3,5,6,7,8]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[2,7,6,5,4,3,8,1]=>[7,2,6,5,4,3,1,8]=>[7,2,6,5,4,3,1,8]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[2,6,5,7,4,3,8,1]=>[6,2,5,4,3,7,1,8]=>[7,2,5,4,3,1,6,8]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[2,5,6,7,4,3,8,1]=>[5,2,4,3,1,6,7,8]=>[5,2,4,3,1,6,7,8]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[2,4,6,7,5,3,8,1]=>[6,2,4,3,1,5,7,8]=>[5,2,4,3,6,1,7,8]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[2,5,4,7,6,3,8,1]=>[5,2,4,3,1,7,6,8]=>[5,2,4,3,1,7,6,8]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[2,4,6,5,7,3,8,1]=>[6,2,4,3,5,1,7,8]=>[6,2,4,3,5,1,7,8]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[2,5,4,6,7,3,8,1]=>[5,2,4,3,6,7,1,8]=>[7,2,4,3,1,5,6,8]
[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[2,4,5,6,7,3,8,1]=>[4,2,3,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>[3,2,7,6,5,4,8,1]=>[7,3,6,5,2,1,8,4]=>[6,5,2,8,4,3,1,7]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[3,2,6,7,5,4,8,1]=>[6,3,5,2,1,7,8,4]=>[5,4,2,8,3,1,6,7]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>[3,2,5,7,6,4,8,1]=>[7,3,5,2,1,6,8,4]=>[5,4,2,8,3,6,1,7]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[3,2,6,5,7,4,8,1]=>[6,3,5,2,7,1,8,4]=>[6,4,2,8,3,1,5,7]
[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>[3,2,5,6,7,4,8,1]=>[3,2,5,1,6,7,8,4]=>[4,2,1,8,3,5,6,7]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[2,3,7,6,5,4,8,1]=>[7,2,6,5,3,1,4,8]=>[6,2,5,7,4,3,1,8]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[2,3,5,7,6,4,8,1]=>[7,2,5,3,1,4,6,8]=>[5,2,4,6,3,7,1,8]
[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[2,3,5,6,7,4,8,1]=>[5,2,3,1,4,6,7,8]=>[4,2,3,5,1,6,7,8]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[4,3,2,7,6,5,8,1]=>[4,3,7,2,1,8,6,5]=>[5,4,2,1,8,7,3,6]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[4,3,2,6,7,5,8,1]=>[4,3,6,2,7,8,5,1]=>[8,4,2,1,7,3,5,6]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[3,4,2,7,6,5,8,1]=>[7,3,4,2,1,6,5,8]=>[5,4,2,3,7,6,1,8]
[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>[3,4,2,6,7,5,8,1]=>[3,2,4,1,6,7,5,8]=>[4,2,1,3,7,5,6,8]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[2,4,3,7,6,5,8,1]=>[7,2,4,3,1,6,5,8]=>[5,2,4,3,7,6,1,8]
[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[2,4,3,6,7,5,8,1]=>[4,2,3,1,6,7,5,8]=>[4,2,3,1,7,5,6,8]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[3,2,4,7,6,5,8,1]=>[7,3,4,2,1,6,8,5]=>[5,4,2,3,8,6,1,7]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[2,3,4,7,6,5,8,1]=>[7,2,6,3,1,4,5,8]=>[5,2,4,6,7,3,1,8]
[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[2,3,4,6,7,5,8,1]=>[6,2,3,1,4,5,7,8]=>[4,2,3,5,6,1,7,8]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[5,4,3,2,7,6,8,1]=>[5,4,7,3,8,6,2,1]=>[8,7,4,2,1,6,3,5]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]=>[3,5,4,2,7,6,8,1]=>[5,3,4,2,7,6,1,8]=>[7,4,2,3,1,6,5,8]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[4,3,5,2,7,6,8,1]=>[4,3,5,2,7,6,8,1]=>[8,4,2,1,3,6,5,7]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]]=>[3,4,5,2,7,6,8,1]=>[3,2,4,1,7,5,6,8]=>[4,2,1,3,6,7,5,8]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[2,5,4,3,7,6,8,1]=>[5,2,4,3,7,6,1,8]=>[7,2,4,3,1,6,5,8]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,8,1]=>[3,2,5,1,7,4,8,6]=>[4,2,1,6,3,8,5,7]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[2,3,5,4,7,6,8,1]=>[5,2,3,1,7,4,6,8]=>[4,2,3,6,1,7,5,8]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>[4,3,2,5,7,6,8,1]=>[4,3,5,2,7,8,6,1]=>[8,4,2,1,3,7,5,6]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]]=>[3,4,2,5,7,6,8,1]=>[3,2,4,1,5,7,6,8]=>[4,2,1,3,5,7,6,8]
[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>[2,4,3,5,7,6,8,1]=>[4,2,3,1,5,7,6,8]=>[4,2,3,1,5,7,6,8]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>[3,2,4,5,7,6,8,1]=>[3,2,4,1,5,7,8,6]=>[4,2,1,3,5,8,6,7]
[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>[2,3,4,5,7,6,8,1]=>[7,2,3,1,4,5,6,8]=>[4,2,3,5,6,7,1,8]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[6,5,7,8,4,3,2,1]=>[8,7,6,5,2,1,3,4]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[5,4,6,7,3,2,8,1]=>[8,6,5,2,1,3,4,7]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]]=>[4,5,6,3,2,7,8,1]=>[4,3,5,6,2,1,7,8]=>[6,5,2,1,3,4,7,8]
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]=>[3,6,5,4,2,7,8,1]=>[6,3,5,7,4,2,1,8]=>[7,6,2,5,3,1,4,8]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[3,5,6,4,2,7,8,1]=>[5,3,4,6,2,1,7,8]=>[6,5,2,3,1,4,7,8]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>[3,4,6,5,2,7,8,1]=>[6,3,4,5,2,1,7,8]=>[6,5,2,3,4,1,7,8]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[5,4,6,7,3,8,2,1]=>[8,7,5,2,1,3,4,6]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]]=>[3,5,4,6,2,7,8,1]=>[5,3,4,6,2,7,1,8]=>[7,5,2,3,1,4,6,8]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]]=>[4,3,5,6,2,7,8,1]=>[4,3,5,6,2,7,8,1]=>[8,5,2,1,3,4,6,7]
[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[3,2,4,5,1,6,7,8]=>[5,2,1,3,4,6,7,8]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[2,6,5,4,3,7,8,1]=>[6,2,5,7,4,3,1,8]=>[7,2,6,5,3,1,4,8]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>[2,5,6,4,3,7,8,1]=>[5,2,4,6,3,1,7,8]=>[6,2,5,3,1,4,7,8]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>[2,4,6,5,3,7,8,1]=>[6,2,4,5,3,1,7,8]=>[6,2,5,3,4,1,7,8]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[2,5,4,6,3,7,8,1]=>[5,2,4,6,3,7,1,8]=>[7,2,5,3,1,4,6,8]
[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[2,4,5,6,3,7,8,1]=>[4,2,3,5,1,6,7,8]=>[5,2,3,1,4,6,7,8]
[.,[[[[.,[.,.]],[[.,.],.]],.],.]]=>[3,2,5,6,4,7,8,1]=>[3,2,5,6,1,7,8,4]=>[5,2,1,8,3,4,6,7]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[2,3,6,5,4,7,8,1]=>[6,2,3,5,4,1,7,8]=>[6,2,3,5,4,1,7,8]
[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[2,3,5,6,4,7,8,1]=>[5,2,3,4,1,6,7,8]=>[5,2,3,4,1,6,7,8]
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>[4,3,2,6,5,7,8,1]=>[4,3,6,7,2,8,5,1]=>[8,5,2,1,7,3,4,6]
[.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>[3,4,2,6,5,7,8,1]=>[3,2,4,6,1,7,5,8]=>[5,2,1,3,7,4,6,8]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[2,4,3,6,5,7,8,1]=>[4,2,3,6,1,7,5,8]=>[5,2,3,1,7,4,6,8]
[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[2,3,4,6,5,7,8,1]=>[6,2,3,4,1,5,7,8]=>[5,2,3,4,6,1,7,8]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[5,4,6,7,8,3,2,1]=>[8,7,6,2,1,3,4,5]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>[4,5,3,2,6,7,8,1]=>[4,3,5,6,7,2,1,8]=>[7,6,2,1,3,4,5,8]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[3,5,4,2,6,7,8,1]=>[5,3,4,6,7,2,1,8]=>[7,6,2,3,1,4,5,8]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[4,3,5,6,7,2,8,1]=>[8,6,2,1,3,4,5,7]
[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[3,4,5,2,6,7,8,1]=>[3,2,4,5,6,1,7,8]=>[6,2,1,3,4,5,7,8]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[2,5,4,3,6,7,8,1]=>[5,2,4,6,7,3,1,8]=>[7,2,6,3,1,4,5,8]
[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[2,4,5,3,6,7,8,1]=>[4,2,3,5,6,1,7,8]=>[6,2,3,1,4,5,7,8]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[3,2,5,4,6,7,8,1]=>[3,2,5,6,7,1,8,4]=>[6,2,1,8,3,4,5,7]
[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[2,3,5,4,6,7,8,1]=>[5,2,3,4,6,1,7,8]=>[6,2,3,4,1,5,7,8]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[4,3,5,6,7,8,2,1]=>[8,7,2,1,3,4,5,6]
[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[3,2,4,5,6,7,1,8]=>[7,2,1,3,4,5,6,8]
[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[2,4,3,5,6,7,8,1]=>[4,2,3,5,6,7,1,8]=>[7,2,3,1,4,5,6,8]
[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,1]=>[8,2,1,3,4,5,6,7]
[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2]=>[7,8,6,5,4,3,2,1]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[1,7,8,6,5,4,3,2]=>[7,6,5,4,3,1,2,8]=>[6,7,5,4,3,2,1,8]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[1,6,8,7,5,4,3,2]=>[8,6,5,4,3,1,2,7]=>[6,7,5,4,3,2,8,1]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[1,7,6,8,5,4,3,2]=>[7,6,5,4,1,3,2,8]=>[5,7,6,4,3,2,1,8]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[1,6,7,8,5,4,3,2]=>[6,5,4,3,1,2,7,8]=>[5,6,4,3,2,1,7,8]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[1,5,8,7,6,4,3,2]=>[8,7,5,4,3,1,2,6]=>[6,7,5,4,3,8,2,1]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[1,6,5,8,7,4,3,2]=>[6,5,4,3,1,8,2,7]=>[5,7,4,3,2,1,8,6]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[1,7,6,5,8,4,3,2]=>[7,6,5,1,4,3,2,8]=>[4,7,6,5,3,2,1,8]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[1,6,7,5,8,4,3,2]=>[6,5,4,1,3,2,7,8]=>[4,6,5,3,2,1,7,8]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[1,5,7,6,8,4,3,2]=>[7,5,4,1,3,2,6,8]=>[4,6,5,3,2,7,1,8]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[1,6,5,7,8,4,3,2]=>[6,5,4,1,3,7,2,8]=>[4,7,5,3,2,1,6,8]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[1,5,6,7,8,4,3,2]=>[5,4,3,1,2,6,7,8]=>[4,5,3,2,1,6,7,8]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[1,4,8,7,6,5,3,2]=>[8,7,6,4,3,1,2,5]=>[6,7,5,4,8,3,2,1]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[1,4,7,8,6,5,3,2]=>[7,6,4,3,1,2,5,8]=>[5,6,4,3,7,2,1,8]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[1,4,6,8,7,5,3,2]=>[8,6,4,3,1,2,5,7]=>[5,6,4,3,7,2,8,1]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[1,4,6,7,8,5,3,2]=>[6,4,3,1,2,5,7,8]=>[4,5,3,2,6,1,7,8]
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>[1,5,4,7,8,6,3,2]=>[5,4,3,1,2,7,6,8]=>[4,5,3,2,1,7,6,8]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[1,4,5,8,7,6,3,2]=>[8,7,4,3,1,2,5,6]=>[5,6,4,3,7,8,2,1]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[1,4,5,7,8,6,3,2]=>[7,4,3,1,2,5,6,8]=>[4,5,3,2,6,7,1,8]
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>[1,6,5,4,8,7,3,2]=>[6,5,4,1,8,3,2,7]=>[4,7,6,3,2,1,8,5]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[1,4,6,5,8,7,3,2]=>[6,4,3,1,8,2,5,7]=>[4,6,3,2,7,1,8,5]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>[1,5,4,6,8,7,3,2]=>[5,4,3,1,2,8,6,7]=>[4,5,3,2,1,7,8,6]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[1,7,6,5,4,8,3,2]=>[7,6,1,5,4,3,2,8]=>[3,7,6,5,4,2,1,8]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[1,4,7,6,5,8,3,2]=>[7,6,1,4,3,2,5,8]=>[3,6,5,4,7,2,1,8]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[1,4,6,7,5,8,3,2]=>[6,4,1,3,2,5,7,8]=>[3,5,4,2,6,1,7,8]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>[1,6,5,4,7,8,3,2]=>[6,5,1,4,7,3,2,8]=>[3,7,6,4,2,1,5,8]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[1,5,6,4,7,8,3,2]=>[5,4,1,3,6,2,7,8]=>[3,6,4,2,1,5,7,8]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[1,5,4,6,7,8,3,2]=>[5,4,1,3,6,7,2,8]=>[3,7,4,2,1,5,6,8]
[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[1,4,5,6,7,8,3,2]=>[4,3,1,2,5,6,7,8]=>[3,4,2,1,5,6,7,8]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[1,3,8,7,6,5,4,2]=>[8,7,6,5,3,1,2,4]=>[6,7,5,8,4,3,2,1]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[1,3,7,8,6,5,4,2]=>[7,6,5,3,1,2,4,8]=>[5,6,4,7,3,2,1,8]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[1,3,6,8,7,5,4,2]=>[8,6,5,3,1,2,4,7]=>[5,6,4,7,3,2,8,1]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[1,3,6,7,8,5,4,2]=>[6,5,3,1,2,4,7,8]=>[4,5,3,6,2,1,7,8]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[1,3,5,8,7,6,4,2]=>[8,7,5,3,1,2,4,6]=>[5,6,4,7,3,8,2,1]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>[7,5,3,1,2,4,6,8]=>[4,5,3,6,2,7,1,8]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[1,3,5,6,8,7,4,2]=>[8,5,3,1,2,4,6,7]=>[4,5,3,6,2,7,8,1]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[1,3,6,7,5,8,4,2]=>[6,5,1,3,2,4,7,8]=>[3,5,4,6,2,1,7,8]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[1,3,5,7,6,8,4,2]=>[7,5,1,3,2,4,6,8]=>[3,5,4,6,2,7,1,8]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[1,3,6,5,7,8,4,2]=>[6,5,1,3,4,2,7,8]=>[3,6,4,5,2,1,7,8]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[1,3,5,6,7,8,4,2]=>[5,3,1,2,4,6,7,8]=>[3,4,2,5,1,6,7,8]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[8,7,4,3,1,6,2,5]=>[5,7,4,3,8,6,2,1]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[1,4,3,7,8,6,5,2]=>[7,4,3,1,2,6,5,8]=>[4,5,3,2,7,6,1,8]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[1,4,3,6,8,7,5,2]=>[8,4,3,1,2,6,5,7]=>[4,5,3,2,7,6,8,1]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[1,4,3,7,6,8,5,2]=>[7,4,1,3,2,6,5,8]=>[3,5,4,2,7,6,1,8]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[1,4,3,6,7,8,5,2]=>[4,3,1,2,6,7,5,8]=>[3,4,2,1,7,5,6,8]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[1,3,4,8,7,6,5,2]=>[8,7,6,3,1,2,4,5]=>[5,6,4,7,8,3,2,1]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[1,3,4,7,6,8,5,2]=>[7,6,1,3,2,4,5,8]=>[3,5,4,6,7,2,1,8]
[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[1,3,4,6,7,8,5,2]=>[6,3,1,2,4,5,7,8]=>[3,4,2,5,6,1,7,8]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[1,5,4,3,8,7,6,2]=>[5,4,3,1,8,7,2,6]=>[4,7,3,2,1,8,6,5]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[1,4,5,3,8,7,6,2]=>[8,4,3,1,7,2,5,6]=>[4,6,3,2,7,8,5,1]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[1,4,5,3,7,8,6,2]=>[4,3,1,2,7,5,6,8]=>[3,4,2,1,6,7,5,8]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[1,3,5,4,8,7,6,2]=>[8,5,3,1,7,2,4,6]=>[4,6,3,7,2,8,5,1]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[1,3,5,4,7,8,6,2]=>[5,3,1,2,7,4,6,8]=>[3,4,2,6,1,7,5,8]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[1,4,3,5,8,7,6,2]=>[8,4,3,1,2,7,5,6]=>[4,5,3,2,7,8,6,1]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[1,4,3,5,7,8,6,2]=>[4,3,1,2,5,7,6,8]=>[3,4,2,1,5,7,6,8]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[1,3,4,5,8,7,6,2]=>[8,7,3,1,2,4,5,6]=>[4,5,3,6,7,8,2,1]
[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[1,3,4,5,7,8,6,2]=>[7,3,1,2,4,5,6,8]=>[3,4,2,5,6,7,1,8]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[1,6,5,4,3,8,7,2]=>[6,5,1,8,4,3,2,7]=>[3,7,6,5,2,1,8,4]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[1,5,6,4,3,8,7,2]=>[5,4,1,8,3,2,6,7]=>[3,6,5,2,1,7,8,4]
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[1,4,6,5,3,8,7,2]=>[6,4,1,8,3,2,5,7]=>[3,6,5,2,7,1,8,4]
[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>[1,4,5,6,3,8,7,2]=>[4,3,1,8,2,5,6,7]=>[3,5,2,1,6,7,8,4]
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[1,3,6,5,4,8,7,2]=>[6,5,1,8,3,2,4,7]=>[3,6,5,7,2,1,8,4]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[4,3,1,6,2,8,5,7]=>[3,5,2,1,7,4,8,6]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[1,5,4,3,6,8,7,2]=>[5,4,1,3,8,6,2,7]=>[3,7,4,2,1,6,8,5]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>[1,4,5,3,6,8,7,2]=>[4,3,1,2,8,5,6,7]=>[3,4,2,1,6,7,8,5]
[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[1,3,4,5,6,8,7,2]=>[8,3,1,2,4,5,6,7]=>[3,4,2,5,6,7,8,1]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[1,7,6,5,4,3,8,2]=>[7,1,6,5,4,3,2,8]=>[2,7,6,5,4,3,1,8]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>[1,6,7,5,4,3,8,2]=>[6,1,5,4,3,2,7,8]=>[2,6,5,4,3,1,7,8]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[1,6,5,7,4,3,8,2]=>[6,1,5,4,3,7,2,8]=>[2,7,5,4,3,1,6,8]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[1,5,6,7,4,3,8,2]=>[5,1,4,3,2,6,7,8]=>[2,5,4,3,1,6,7,8]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[1,4,6,7,5,3,8,2]=>[6,1,4,3,2,5,7,8]=>[2,5,4,3,6,1,7,8]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[1,5,6,4,7,3,8,2]=>[5,1,4,3,6,2,7,8]=>[2,6,4,3,1,5,7,8]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>[1,4,6,5,7,3,8,2]=>[6,1,4,3,5,2,7,8]=>[2,6,4,3,5,1,7,8]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[1,5,4,6,7,3,8,2]=>[5,1,4,3,6,7,2,8]=>[2,7,4,3,1,5,6,8]
[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[1,4,5,6,7,3,8,2]=>[4,1,3,2,5,6,7,8]=>[2,4,3,1,5,6,7,8]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[1,3,5,7,6,4,8,2]=>[7,1,5,3,2,4,6,8]=>[2,5,4,6,3,7,1,8]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>[1,3,6,5,7,4,8,2]=>[6,1,5,3,4,2,7,8]=>[2,6,4,5,3,1,7,8]
[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[1,3,5,6,7,4,8,2]=>[5,1,3,2,4,6,7,8]=>[2,4,3,5,1,6,7,8]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>[1,4,3,6,7,5,8,2]=>[4,1,3,2,6,7,5,8]=>[2,4,3,1,7,5,6,8]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[1,3,4,7,6,5,8,2]=>[7,1,6,3,2,4,5,8]=>[2,5,4,6,7,3,1,8]
[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[1,3,4,6,7,5,8,2]=>[6,1,3,2,4,5,7,8]=>[2,4,3,5,6,1,7,8]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[1,3,5,4,7,6,8,2]=>[5,1,3,2,7,4,6,8]=>[2,4,3,6,1,7,5,8]
[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>[1,3,4,5,7,6,8,2]=>[7,1,3,2,4,5,6,8]=>[2,4,3,5,6,7,1,8]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[1,6,5,4,3,7,8,2]=>[6,1,5,7,4,3,2,8]=>[2,7,6,5,3,1,4,8]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[1,5,4,6,3,7,8,2]=>[5,1,4,6,3,7,2,8]=>[2,7,5,3,1,4,6,8]
[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[1,3,5,6,4,7,8,2]=>[5,1,3,4,2,6,7,8]=>[2,5,3,4,1,6,7,8]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[1,4,3,6,5,7,8,2]=>[4,1,3,6,2,7,5,8]=>[2,5,3,1,7,4,6,8]
[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[1,3,4,6,5,7,8,2]=>[6,1,3,4,2,5,7,8]=>[2,5,3,4,6,1,7,8]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[1,5,4,3,6,7,8,2]=>[5,1,4,6,7,3,2,8]=>[2,7,6,3,1,4,5,8]
[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[1,4,5,3,6,7,8,2]=>[4,1,3,5,6,2,7,8]=>[2,6,3,1,4,5,7,8]
[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[1,3,5,4,6,7,8,2]=>[5,1,3,4,6,2,7,8]=>[2,6,3,4,1,5,7,8]
[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[1,4,3,5,6,7,8,2]=>[4,1,3,5,6,7,2,8]=>[2,7,3,1,4,5,6,8]
[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,2]=>[3,1,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[8,7,6,5,2,1,4,3]=>[6,5,8,7,4,3,2,1]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[2,1,7,8,6,5,4,3]=>[7,6,5,2,1,4,8,3]=>[5,4,8,6,3,2,1,7]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[2,1,6,8,7,5,4,3]=>[8,6,5,2,1,4,7,3]=>[5,4,8,6,3,2,7,1]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[2,1,7,6,8,5,4,3]=>[7,6,5,2,4,1,8,3]=>[6,4,8,5,3,2,1,7]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[6,5,2,1,4,7,8,3]=>[4,3,8,5,2,1,6,7]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[2,1,5,8,7,6,4,3]=>[8,7,5,2,1,4,6,3]=>[5,4,8,6,3,7,2,1]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[2,1,5,7,8,6,4,3]=>[7,5,2,1,4,6,8,3]=>[4,3,8,5,2,6,1,7]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[2,1,6,5,8,7,4,3]=>[6,5,2,1,4,3,8,7]=>[4,3,6,5,2,1,8,7]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[2,1,5,6,8,7,4,3]=>[8,5,2,1,4,6,7,3]=>[4,3,8,5,2,6,7,1]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[2,1,7,6,5,8,4,3]=>[7,6,2,5,4,1,8,3]=>[6,3,8,5,4,2,1,7]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[2,1,6,7,5,8,4,3]=>[6,5,2,4,1,7,8,3]=>[5,3,8,4,2,1,6,7]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[2,1,5,7,6,8,4,3]=>[7,5,2,4,1,6,8,3]=>[5,3,8,4,2,6,1,7]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[2,1,6,5,7,8,4,3]=>[6,5,2,4,7,1,8,3]=>[6,3,8,4,2,1,5,7]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[2,1,5,6,7,8,4,3]=>[5,2,1,4,6,7,8,3]=>[3,2,8,4,1,5,6,7]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[2,1,4,8,7,6,5,3]=>[8,7,6,2,1,4,5,3]=>[5,4,8,6,7,3,2,1]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[2,1,4,7,8,6,5,3]=>[7,6,2,1,4,5,8,3]=>[4,3,8,5,6,2,1,7]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[2,1,4,6,8,7,5,3]=>[8,6,2,1,4,5,7,3]=>[4,3,8,5,6,2,7,1]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[2,1,4,6,7,8,5,3]=>[6,2,1,4,5,7,8,3]=>[3,2,8,4,5,1,6,7]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[2,1,5,4,8,7,6,3]=>[8,5,2,1,4,3,7,6]=>[4,3,6,5,2,8,7,1]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[2,1,5,4,7,8,6,3]=>[5,2,1,4,7,3,8,6]=>[3,2,6,4,1,8,5,7]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[2,1,4,5,8,7,6,3]=>[8,7,2,1,4,5,6,3]=>[4,3,8,5,6,7,2,1]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[2,1,4,5,7,8,6,3]=>[7,2,1,4,5,6,8,3]=>[3,2,8,4,5,6,1,7]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[2,1,6,5,4,8,7,3]=>[6,2,1,5,4,3,8,7]=>[3,2,6,5,4,1,8,7]
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[2,1,5,6,4,8,7,3]=>[5,2,1,4,3,6,8,7]=>[3,2,5,4,1,6,8,7]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[2,1,4,6,5,8,7,3]=>[6,2,1,4,3,5,8,7]=>[3,2,5,4,6,1,8,7]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[2,1,5,4,6,8,7,3]=>[5,2,1,4,6,3,8,7]=>[3,2,6,4,1,5,8,7]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[2,1,4,5,6,8,7,3]=>[8,2,1,4,5,6,7,3]=>[3,2,8,4,5,6,7,1]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>[2,1,7,6,5,4,8,3]=>[7,2,6,5,4,1,8,3]=>[6,2,8,5,4,3,1,7]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[2,1,6,7,5,4,8,3]=>[6,2,5,4,1,7,8,3]=>[5,2,8,4,3,1,6,7]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[2,1,5,7,6,4,8,3]=>[7,2,5,4,1,6,8,3]=>[5,2,8,4,3,6,1,7]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[2,1,6,5,7,4,8,3]=>[6,2,5,4,7,1,8,3]=>[6,2,8,4,3,1,5,7]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[2,1,5,6,7,4,8,3]=>[5,2,4,1,6,7,8,3]=>[4,2,8,3,1,5,6,7]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[2,1,4,7,6,5,8,3]=>[7,2,6,4,1,5,8,3]=>[5,2,8,4,6,3,1,7]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[2,1,4,6,7,5,8,3]=>[6,2,4,1,5,7,8,3]=>[4,2,8,3,5,1,6,7]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,8,3]=>[5,2,4,1,7,3,8,6]=>[4,2,6,3,1,8,5,7]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[2,1,5,6,4,7,8,3]=>[5,2,4,6,1,7,8,3]=>[5,2,8,3,1,4,6,7]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[2,1,5,4,6,7,8,3]=>[5,2,4,6,7,1,8,3]=>[6,2,8,3,1,4,5,7]
[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[2,1,4,5,6,7,8,3]=>[2,1,4,5,6,7,8,3]=>[2,1,8,3,4,5,6,7]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,8,7,6,5,4,3]=>[8,7,6,5,4,1,2,3]=>[6,7,8,5,4,3,2,1]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[1,2,7,8,6,5,4,3]=>[7,6,5,4,1,2,3,8]=>[5,6,7,4,3,2,1,8]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>[1,2,7,6,8,5,4,3]=>[7,6,5,1,4,2,3,8]=>[4,6,7,5,3,2,1,8]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[1,2,6,7,8,5,4,3]=>[6,5,4,1,2,3,7,8]=>[4,5,6,3,2,1,7,8]
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[1,2,5,8,7,6,4,3]=>[8,7,5,4,1,2,3,6]=>[5,6,7,4,3,8,2,1]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[1,2,6,5,8,7,4,3]=>[6,5,4,1,8,2,3,7]=>[4,6,7,3,2,1,8,5]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[1,2,5,6,8,7,4,3]=>[8,5,4,1,2,3,6,7]=>[4,5,6,3,2,7,8,1]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[1,2,7,6,5,8,4,3]=>[7,6,1,5,4,2,3,8]=>[3,6,7,5,4,2,1,8]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[1,2,5,7,6,8,4,3]=>[7,5,1,4,2,3,6,8]=>[3,5,6,4,2,7,1,8]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[1,2,6,5,7,8,4,3]=>[6,5,1,2,4,3,7,8]=>[3,4,6,5,2,1,7,8]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[1,2,5,6,7,8,4,3]=>[5,4,1,2,3,6,7,8]=>[3,4,5,2,1,6,7,8]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[1,2,4,8,7,6,5,3]=>[8,7,6,4,1,2,3,5]=>[5,6,7,4,8,3,2,1]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[1,2,4,7,8,6,5,3]=>[7,6,4,1,2,3,5,8]=>[4,5,6,3,7,2,1,8]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[1,2,4,6,8,7,5,3]=>[8,6,4,1,2,3,5,7]=>[4,5,6,3,7,2,8,1]
[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[1,2,4,6,7,8,5,3]=>[6,4,1,2,3,5,7,8]=>[3,4,5,2,6,1,7,8]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[1,2,5,4,8,7,6,3]=>[8,5,4,1,7,2,3,6]=>[4,6,7,3,2,8,5,1]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[1,2,4,5,8,7,6,3]=>[8,7,4,1,2,3,5,6]=>[4,5,6,3,7,8,2,1]
[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[1,2,4,5,7,8,6,3]=>[7,4,1,2,3,5,6,8]=>[3,4,5,2,6,7,1,8]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[1,2,6,5,4,8,7,3]=>[6,5,1,8,4,2,3,7]=>[3,6,7,5,2,1,8,4]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[1,2,5,4,6,8,7,3]=>[5,4,1,2,8,3,6,7]=>[3,4,6,2,1,7,8,5]
[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[1,2,4,5,6,8,7,3]=>[8,4,1,2,3,5,6,7]=>[3,4,5,2,6,7,8,1]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[1,2,7,6,5,4,8,3]=>[7,1,6,5,4,2,3,8]=>[2,6,7,5,4,3,1,8]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[1,2,5,7,6,4,8,3]=>[7,1,5,4,2,3,6,8]=>[2,5,6,4,3,7,1,8]
[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[1,2,5,6,7,4,8,3]=>[5,1,4,2,3,6,7,8]=>[2,4,5,3,1,6,7,8]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[1,2,4,7,6,5,8,3]=>[7,1,6,4,2,3,5,8]=>[2,5,6,4,7,3,1,8]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[1,2,5,4,7,6,8,3]=>[5,1,4,2,7,3,6,8]=>[2,4,6,3,1,7,5,8]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[1,2,6,5,4,7,8,3]=>[6,1,2,5,4,3,7,8]=>[2,3,6,5,4,1,7,8]
[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[1,2,5,6,4,7,8,3]=>[5,1,2,4,3,6,7,8]=>[2,3,5,4,1,6,7,8]
[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[1,2,5,4,6,7,8,3]=>[5,1,2,4,6,3,7,8]=>[2,3,6,4,1,5,7,8]
[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[1,2,4,5,6,7,8,3]=>[4,1,2,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[8,7,3,2,1,6,5,4]=>[5,4,3,8,7,6,2,1]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[3,2,1,7,8,6,5,4]=>[7,3,2,1,6,8,5,4]=>[4,3,2,8,7,5,1,6]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[3,2,1,6,8,7,5,4]=>[8,3,2,1,6,7,5,4]=>[4,3,2,8,7,5,6,1]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[3,2,1,7,6,8,5,4]=>[7,3,2,6,1,8,5,4]=>[5,3,2,8,7,4,1,6]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[3,2,1,6,7,8,5,4]=>[3,2,1,6,7,8,5,4]=>[3,2,1,8,7,4,5,6]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[3,2,1,5,8,7,6,4]=>[8,3,2,1,5,7,6,4]=>[4,3,2,8,5,7,6,1]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[3,2,1,5,7,8,6,4]=>[3,2,1,5,7,8,6,4]=>[3,2,1,8,4,7,5,6]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[3,2,1,6,5,8,7,4]=>[3,2,1,6,5,8,7,4]=>[3,2,1,8,5,4,7,6]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[3,2,1,5,6,8,7,4]=>[3,2,1,5,6,8,7,4]=>[3,2,1,8,4,5,7,6]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[3,2,1,7,6,5,8,4]=>[7,3,6,2,1,8,5,4]=>[5,4,2,8,7,3,1,6]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[3,2,1,6,7,5,8,4]=>[3,2,6,1,7,8,5,4]=>[4,2,1,8,7,3,5,6]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[3,2,1,5,7,6,8,4]=>[3,2,5,1,7,8,6,4]=>[4,2,1,8,3,7,5,6]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[3,2,1,6,5,7,8,4]=>[3,2,6,7,1,8,5,4]=>[5,2,1,8,7,3,4,6]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[3,2,1,5,6,7,8,4]=>[3,2,5,6,7,8,4,1]=>[8,2,1,7,3,4,5,6]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[2,3,1,8,7,6,5,4]=>[8,7,6,2,1,5,3,4]=>[5,4,7,8,6,3,2,1]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[2,3,1,7,8,6,5,4]=>[7,6,2,1,3,5,4,8]=>[4,3,5,7,6,2,1,8]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[2,3,1,6,8,7,5,4]=>[8,6,2,1,3,5,4,7]=>[4,3,5,7,6,2,8,1]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[2,3,1,7,6,8,5,4]=>[7,6,2,3,1,5,4,8]=>[5,3,4,7,6,2,1,8]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[2,3,1,6,7,8,5,4]=>[6,2,1,3,5,7,4,8]=>[3,2,4,7,5,1,6,8]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[2,3,1,6,5,8,7,4]=>[6,2,1,5,3,8,4,7]=>[3,2,5,7,4,1,8,6]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[2,3,1,7,6,5,8,4]=>[7,2,6,3,1,5,4,8]=>[5,2,4,7,6,3,1,8]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[2,3,1,6,7,5,8,4]=>[6,2,3,1,5,7,4,8]=>[4,2,3,7,5,1,6,8]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[2,3,1,5,7,6,8,4]=>[7,2,3,1,5,6,4,8]=>[4,2,3,7,5,6,1,8]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[2,3,1,5,6,7,8,4]=>[2,1,3,5,6,7,4,8]=>[2,1,3,7,4,5,6,8]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[1,3,2,8,7,6,5,4]=>[8,7,6,3,1,5,2,4]=>[5,7,4,8,6,3,2,1]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[1,3,2,6,8,7,5,4]=>[8,6,3,1,2,5,4,7]=>[4,5,3,7,6,2,8,1]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>[1,3,2,7,6,8,5,4]=>[7,6,1,3,2,5,4,8]=>[3,5,4,7,6,2,1,8]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[1,3,2,6,7,8,5,4]=>[6,3,1,2,5,7,4,8]=>[3,4,2,7,5,1,6,8]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[1,3,2,5,8,7,6,4]=>[8,7,3,1,2,5,4,6]=>[4,5,3,7,6,8,2,1]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[1,3,2,5,7,8,6,4]=>[7,3,1,2,5,6,4,8]=>[3,4,2,7,5,6,1,8]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[1,3,2,6,5,8,7,4]=>[6,3,1,5,2,8,4,7]=>[3,5,2,7,4,1,8,6]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[1,3,2,5,6,8,7,4]=>[8,3,1,2,5,6,4,7]=>[3,4,2,7,5,6,8,1]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[1,3,2,7,6,5,8,4]=>[7,1,6,3,2,5,4,8]=>[2,5,4,7,6,3,1,8]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[1,3,2,6,7,5,8,4]=>[6,1,3,2,5,7,4,8]=>[2,4,3,7,5,1,6,8]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[1,3,2,5,7,6,8,4]=>[7,1,3,2,5,6,4,8]=>[2,4,3,7,5,6,1,8]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[1,3,2,6,5,7,8,4]=>[6,1,3,5,2,7,4,8]=>[2,5,3,7,4,1,6,8]
[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[1,3,2,5,6,7,8,4]=>[3,1,2,5,6,7,4,8]=>[2,3,1,7,4,5,6,8]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[2,1,3,8,7,6,5,4]=>[8,7,6,2,1,3,5,4]=>[5,4,6,8,7,3,2,1]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[2,1,3,7,8,6,5,4]=>[7,6,2,1,3,5,8,4]=>[4,3,5,8,6,2,1,7]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[2,1,3,6,8,7,5,4]=>[8,6,2,1,3,5,7,4]=>[4,3,5,8,6,2,7,1]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[2,1,3,6,7,8,5,4]=>[6,2,1,3,5,7,8,4]=>[3,2,4,8,5,1,6,7]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[2,1,3,6,5,8,7,4]=>[6,2,1,5,3,4,8,7]=>[3,2,5,6,4,1,8,7]
[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[2,1,3,5,6,7,8,4]=>[2,1,3,5,6,7,8,4]=>[2,1,3,8,4,5,6,7]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,8,7,6,5,4]=>[8,7,6,5,1,2,3,4]=>[5,6,7,8,4,3,2,1]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[1,2,3,7,8,6,5,4]=>[7,6,5,1,2,3,4,8]=>[4,5,6,7,3,2,1,8]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[1,2,3,6,8,7,5,4]=>[8,6,5,1,2,3,4,7]=>[4,5,6,7,3,2,8,1]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[1,2,3,7,6,8,5,4]=>[7,6,1,5,2,3,4,8]=>[3,5,6,7,4,2,1,8]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[1,2,3,6,7,8,5,4]=>[6,5,1,2,3,4,7,8]=>[3,4,5,6,2,1,7,8]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[1,2,3,5,8,7,6,4]=>[8,7,5,1,2,3,4,6]=>[4,5,6,7,3,8,2,1]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[1,2,3,5,7,8,6,4]=>[7,5,1,2,3,4,6,8]=>[3,4,5,6,2,7,1,8]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[1,2,3,6,5,8,7,4]=>[6,5,1,8,2,3,4,7]=>[3,5,6,7,2,1,8,4]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[1,2,3,5,6,8,7,4]=>[8,5,1,2,3,4,6,7]=>[3,4,5,6,2,7,8,1]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[1,2,3,7,6,5,8,4]=>[7,1,6,5,2,3,4,8]=>[2,5,6,7,4,3,1,8]
[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[1,2,3,6,7,5,8,4]=>[6,1,5,2,3,4,7,8]=>[2,4,5,6,3,1,7,8]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[1,2,3,5,7,6,8,4]=>[7,1,5,2,3,4,6,8]=>[2,4,5,6,3,7,1,8]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,6,5,7,8,4]=>[6,1,2,5,3,4,7,8]=>[2,3,5,6,4,1,7,8]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[4,3,2,1,7,8,6,5]=>[4,3,2,7,8,6,5,1]=>[8,3,2,1,7,6,4,5]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[4,3,2,1,6,8,7,5]=>[4,3,2,6,8,7,5,1]=>[8,3,2,1,7,4,6,5]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[4,3,2,1,7,6,8,5]=>[4,3,7,2,8,6,5,1]=>[8,4,2,1,7,6,3,5]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[4,3,2,1,6,7,8,5]=>[4,3,6,7,8,5,2,1]=>[8,7,2,1,6,3,4,5]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[3,4,2,1,8,7,6,5]=>[8,3,2,1,7,6,4,5]=>[4,3,2,7,8,6,5,1]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5,8]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[3,4,2,1,6,8,7,5]=>[3,2,1,4,8,6,5,7]=>[3,2,1,4,7,6,8,5]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>[3,4,2,1,7,6,8,5]=>[3,2,4,1,7,6,5,8]=>[4,2,1,3,7,6,5,8]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[3,4,2,1,6,7,8,5]=>[3,2,4,6,7,5,1,8]=>[7,2,1,3,6,4,5,8]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[2,4,3,1,8,7,6,5]=>[8,4,2,1,7,6,3,5]=>[4,3,7,2,8,6,5,1]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[2,4,3,1,7,8,6,5]=>[4,2,1,3,7,6,5,8]=>[3,2,4,1,7,6,5,8]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[4,2,1,3,8,6,5,7]=>[3,2,4,1,7,6,8,5]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[2,4,3,1,7,6,8,5]=>[4,2,3,1,7,6,5,8]=>[4,2,3,1,7,6,5,8]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[2,4,3,1,6,7,8,5]=>[4,2,3,6,7,5,1,8]=>[7,2,3,1,6,4,5,8]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[3,2,4,1,8,7,6,5]=>[8,3,2,1,7,4,6,5]=>[4,3,2,6,8,7,5,1]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[3,2,4,1,7,8,6,5]=>[3,2,1,4,7,6,8,5]=>[3,2,1,4,8,6,5,7]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[3,2,4,1,6,8,7,5]=>[3,2,1,4,8,6,7,5]=>[3,2,1,4,8,6,7,5]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5]=>[3,2,4,1,7,6,8,5]=>[4,2,1,3,8,6,5,7]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[3,2,4,1,6,7,8,5]=>[3,2,4,6,7,5,8,1]=>[8,2,1,3,6,4,5,7]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[2,3,4,1,8,7,6,5]=>[8,7,2,1,6,3,4,5]=>[4,3,6,7,8,5,2,1]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[2,3,4,1,7,8,6,5]=>[7,2,1,3,6,4,5,8]=>[3,2,4,6,7,5,1,8]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[2,3,4,1,6,8,7,5]=>[8,2,1,3,6,4,5,7]=>[3,2,4,6,7,5,8,1]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[2,3,4,1,7,6,8,5]=>[7,2,3,1,6,4,5,8]=>[4,2,3,6,7,5,1,8]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[2,3,4,1,6,7,8,5]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[1,4,3,2,8,7,6,5]=>[8,4,3,1,7,6,2,5]=>[4,7,3,2,8,6,5,1]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[1,4,3,2,6,8,7,5]=>[4,3,1,2,8,6,5,7]=>[3,4,2,1,7,6,8,5]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[1,4,3,2,7,6,8,5]=>[4,1,3,2,7,6,5,8]=>[2,4,3,1,7,6,5,8]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[1,4,3,2,6,7,8,5]=>[4,1,3,6,7,5,2,8]=>[2,7,3,1,6,4,5,8]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[1,3,4,2,8,7,6,5]=>[8,7,3,1,6,2,4,5]=>[4,6,3,7,8,5,2,1]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[1,3,4,2,7,8,6,5]=>[7,3,1,2,6,4,5,8]=>[3,4,2,6,7,5,1,8]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[1,3,4,2,6,8,7,5]=>[8,3,1,2,6,4,5,7]=>[3,4,2,6,7,5,8,1]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[1,3,4,2,7,6,8,5]=>[7,1,3,2,6,4,5,8]=>[2,4,3,6,7,5,1,8]
[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[1,3,4,2,6,7,8,5]=>[3,1,2,4,6,5,7,8]=>[2,3,1,4,6,5,7,8]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[8,7,2,1,4,3,6,5]=>[4,3,6,5,8,7,2,1]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[7,2,1,4,6,3,8,5]=>[3,2,6,4,8,5,1,7]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[8,2,1,4,6,3,7,5]=>[3,2,6,4,8,5,7,1]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5]=>[7,2,4,1,6,3,8,5]=>[4,2,6,3,8,5,1,7]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[2,1,4,3,6,7,8,5]=>[2,1,4,6,7,3,8,5]=>[2,1,6,3,8,4,5,7]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[1,2,4,3,8,7,6,5]=>[8,7,4,1,6,2,3,5]=>[4,6,7,3,8,5,2,1]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[1,2,4,3,7,8,6,5]=>[7,4,1,2,6,3,5,8]=>[3,4,6,2,7,5,1,8]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[1,2,4,3,6,8,7,5]=>[8,4,1,2,6,3,5,7]=>[3,4,6,2,7,5,8,1]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[1,2,4,3,7,6,8,5]=>[7,1,4,2,6,3,5,8]=>[2,4,6,3,7,5,1,8]
[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[1,2,4,3,6,7,8,5]=>[4,1,2,3,6,5,7,8]=>[2,3,4,1,6,5,7,8]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[3,2,1,4,8,7,6,5]=>[8,3,2,1,4,7,6,5]=>[4,3,2,5,8,7,6,1]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[3,2,1,4,7,8,6,5]=>[3,2,1,4,7,8,6,5]=>[3,2,1,4,8,7,5,6]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[3,2,1,4,6,8,7,5]=>[3,2,1,4,6,8,7,5]=>[3,2,1,4,8,5,7,6]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[3,2,1,4,7,6,8,5]=>[3,2,4,1,7,8,6,5]=>[4,2,1,3,8,7,5,6]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[3,2,1,4,6,7,8,5]=>[3,2,4,6,7,8,5,1]=>[8,2,1,3,7,4,5,6]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[2,3,1,4,8,7,6,5]=>[8,7,2,1,3,6,4,5]=>[4,3,5,7,8,6,2,1]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[2,3,1,4,7,8,6,5]=>[7,2,1,3,4,6,5,8]=>[3,2,4,5,7,6,1,8]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[2,3,1,4,7,6,8,5]=>[7,2,3,1,4,6,5,8]=>[4,2,3,5,7,6,1,8]
[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[2,3,1,4,6,7,8,5]=>[2,1,3,4,6,7,5,8]=>[2,1,3,4,7,5,6,8]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[1,3,2,4,8,7,6,5]=>[8,7,3,1,2,6,4,5]=>[4,5,3,7,8,6,2,1]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[1,3,2,4,6,8,7,5]=>[8,3,1,2,4,6,5,7]=>[3,4,2,5,7,6,8,1]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[1,3,2,4,7,6,8,5]=>[7,1,3,2,4,6,5,8]=>[2,4,3,5,7,6,1,8]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[1,3,2,4,6,7,8,5]=>[3,1,2,4,6,7,5,8]=>[2,3,1,4,7,5,6,8]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[2,1,3,4,8,7,6,5]=>[8,7,2,1,3,4,6,5]=>[4,3,5,6,8,7,2,1]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[2,1,3,4,7,8,6,5]=>[7,2,1,3,4,6,8,5]=>[3,2,4,5,8,6,1,7]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[2,1,3,4,7,6,8,5]=>[7,2,3,1,4,6,8,5]=>[4,2,3,5,8,6,1,7]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,5,6,7]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,8,7,6,5]=>[8,7,6,1,2,3,4,5]=>[4,5,6,7,8,3,2,1]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[1,2,3,4,7,8,6,5]=>[7,6,1,2,3,4,5,8]=>[3,4,5,6,7,2,1,8]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[1,2,3,4,6,8,7,5]=>[8,6,1,2,3,4,5,7]=>[3,4,5,6,7,2,8,1]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,7,6,8,5]=>[7,1,6,2,3,4,5,8]=>[2,4,5,6,7,3,1,8]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,6,7,8,5]=>[6,1,2,3,4,5,7,8]=>[2,3,4,5,6,1,7,8]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[5,4,3,2,1,8,7,6]=>[5,4,3,8,7,6,2,1]=>[8,7,3,2,1,6,5,4]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[5,4,3,2,1,7,8,6]=>[5,4,7,8,6,3,2,1]=>[8,7,6,2,1,5,3,4]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[4,5,3,2,1,8,7,6]=>[4,3,2,8,7,5,1,6]=>[7,3,2,1,6,8,5,4]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[3,5,4,2,1,8,7,6]=>[5,3,2,8,7,4,1,6]=>[7,3,2,6,1,8,5,4]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[3,5,4,2,1,7,8,6]=>[5,3,4,7,6,2,1,8]=>[7,6,2,3,1,5,4,8]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[4,3,5,2,1,8,7,6]=>[4,3,2,8,7,5,6,1]=>[8,3,2,1,6,7,5,4]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[3,4,5,2,1,8,7,6]=>[3,2,1,8,7,4,5,6]=>[3,2,1,6,7,8,5,4]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[2,5,4,3,1,8,7,6]=>[5,4,2,8,7,3,1,6]=>[7,3,6,2,1,8,5,4]
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>[2,5,4,3,1,7,8,6]=>[5,2,4,7,6,3,1,8]=>[7,2,6,3,1,5,4,8]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[2,4,5,3,1,8,7,6]=>[4,2,1,8,7,3,5,6]=>[3,2,6,1,7,8,5,4]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[2,4,5,3,1,7,8,6]=>[4,2,3,7,5,1,6,8]=>[6,2,3,1,5,7,4,8]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[3,2,1,8,5,4,7,6]=>[3,2,1,6,5,8,7,4]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[3,2,5,4,1,7,8,6]=>[3,2,5,7,4,1,8,6]=>[6,2,1,5,3,8,4,7]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[2,3,5,4,1,8,7,6]=>[5,2,1,8,7,3,4,6]=>[3,2,6,7,1,8,5,4]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[4,3,2,5,1,8,7,6]=>[4,3,2,8,5,7,6,1]=>[8,3,2,1,5,7,6,4]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[4,3,2,5,1,7,8,6]=>[4,3,5,7,6,8,2,1]=>[8,7,2,1,3,5,4,6]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[3,4,2,5,1,8,7,6]=>[3,2,1,8,4,7,5,6]=>[3,2,1,5,7,8,6,4]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[3,4,2,5,1,7,8,6]=>[3,2,4,7,5,6,1,8]=>[7,2,1,3,5,6,4,8]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[2,4,3,5,1,8,7,6]=>[4,2,1,8,3,7,5,6]=>[3,2,5,1,7,8,6,4]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>[2,4,3,5,1,7,8,6]=>[4,2,3,7,5,6,1,8]=>[7,2,3,1,5,6,4,8]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>[3,2,4,5,1,8,7,6]=>[3,2,1,8,4,5,7,6]=>[3,2,1,5,6,8,7,4]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[2,3,4,5,1,8,7,6]=>[8,2,1,7,3,4,5,6]=>[3,2,5,6,7,8,4,1]
[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[2,3,4,5,1,7,8,6]=>[2,1,3,7,4,5,6,8]=>[2,1,3,5,6,7,4,8]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[1,5,4,3,2,8,7,6]=>[5,4,1,8,7,3,2,6]=>[3,7,6,2,1,8,5,4]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[1,5,4,3,2,7,8,6]=>[5,1,4,7,6,3,2,8]=>[2,7,6,3,1,5,4,8]
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[1,4,5,3,2,8,7,6]=>[4,3,1,8,7,2,5,6]=>[3,6,2,1,7,8,5,4]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[1,4,5,3,2,7,8,6]=>[4,1,3,7,5,2,6,8]=>[2,6,3,1,5,7,4,8]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[1,3,5,4,2,7,8,6]=>[5,1,3,7,4,2,6,8]=>[2,6,3,5,1,7,4,8]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[1,4,3,5,2,8,7,6]=>[4,3,1,8,2,7,5,6]=>[3,5,2,1,7,8,6,4]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[1,4,3,5,2,7,8,6]=>[4,1,3,7,5,6,2,8]=>[2,7,3,1,5,6,4,8]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[1,3,4,5,2,8,7,6]=>[8,3,1,7,2,4,5,6]=>[3,5,2,6,7,8,4,1]
[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[1,3,4,5,2,7,8,6]=>[3,1,2,7,4,5,6,8]=>[2,3,1,5,6,7,4,8]
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[2,1,4,5,3,8,7,6]=>[8,2,1,4,3,5,7,6]=>[3,2,5,4,6,8,7,1]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[1,2,5,4,3,8,7,6]=>[5,4,1,8,7,2,3,6]=>[3,6,7,2,1,8,5,4]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[1,2,5,4,3,7,8,6]=>[5,1,2,7,4,3,6,8]=>[2,3,6,5,1,7,4,8]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[1,2,4,5,3,8,7,6]=>[8,4,1,7,2,3,5,6]=>[3,5,6,2,7,8,4,1]
[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[1,2,4,5,3,7,8,6]=>[4,1,2,7,3,5,6,8]=>[2,3,5,1,6,7,4,8]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[1,3,2,5,4,8,7,6]=>[8,3,1,5,2,7,4,6]=>[3,5,2,7,4,8,6,1]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[1,3,2,5,4,7,8,6]=>[3,1,2,5,4,7,6,8]=>[2,3,1,5,4,7,6,8]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[2,1,3,5,4,8,7,6]=>[8,2,1,5,3,4,7,6]=>[3,2,5,6,4,8,7,1]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[2,1,3,5,4,7,8,6]=>[2,1,3,5,4,7,8,6]=>[2,1,3,5,4,8,6,7]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[1,2,3,5,4,8,7,6]=>[8,5,1,7,2,3,4,6]=>[3,5,6,7,2,8,4,1]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[1,2,3,5,4,7,8,6]=>[5,1,2,7,3,4,6,8]=>[2,3,5,6,1,7,4,8]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[4,3,2,1,5,8,7,6]=>[4,3,2,5,8,7,6,1]=>[8,3,2,1,4,7,6,5]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[4,3,2,1,5,7,8,6]=>[4,3,5,7,8,6,2,1]=>[8,7,2,1,3,6,4,5]
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>[2,4,3,1,5,8,7,6]=>[4,2,1,3,8,7,5,6]=>[3,2,4,1,7,8,6,5]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[3,2,4,1,5,8,7,6]=>[3,2,1,4,8,5,7,6]=>[3,2,1,4,6,8,7,5]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[3,2,4,1,5,7,8,6]=>[3,2,4,5,7,6,8,1]=>[8,2,1,3,4,6,5,7]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[2,3,4,1,5,8,7,6]=>[8,2,1,3,7,4,5,6]=>[3,2,4,6,7,8,5,1]
[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[2,3,4,1,5,7,8,6]=>[2,1,3,4,7,5,6,8]=>[2,1,3,4,6,7,5,8]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[1,4,3,2,5,8,7,6]=>[4,3,1,2,8,7,5,6]=>[3,4,2,1,7,8,6,5]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[1,4,3,2,5,7,8,6]=>[4,1,3,5,7,6,2,8]=>[2,7,3,1,4,6,5,8]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[1,3,4,2,5,8,7,6]=>[8,3,1,2,7,4,5,6]=>[3,4,2,6,7,8,5,1]
[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[1,3,4,2,5,7,8,6]=>[3,1,2,4,7,5,6,8]=>[2,3,1,4,6,7,5,8]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[2,1,4,3,5,8,7,6]=>[8,2,1,4,5,3,7,6]=>[3,2,6,4,5,8,7,1]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[2,1,4,3,5,7,8,6]=>[2,1,4,5,7,3,8,6]=>[2,1,6,3,4,8,5,7]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[1,2,4,3,5,8,7,6]=>[8,4,1,2,7,3,5,6]=>[3,4,6,2,7,8,5,1]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[1,2,4,3,5,7,8,6]=>[4,1,2,3,7,5,6,8]=>[2,3,4,1,6,7,5,8]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[3,2,1,4,5,7,8,6]=>[3,2,4,5,7,8,6,1]=>[8,2,1,3,4,7,5,6]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[2,3,1,4,5,7,8,6]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[1,3,2,4,5,8,7,6]=>[8,3,1,2,4,7,5,6]=>[3,4,2,5,7,8,6,1]
[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[1,3,2,4,5,7,8,6]=>[3,1,2,4,5,7,6,8]=>[2,3,1,4,5,7,6,8]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[2,1,3,4,5,8,7,6]=>[8,2,1,3,4,5,7,6]=>[3,2,4,5,6,8,7,1]
[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,6,7]
[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,8,7,6]=>[8,7,1,2,3,4,5,6]=>[3,4,5,6,7,8,2,1]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,7,8,6]=>[7,1,2,3,4,5,6,8]=>[2,3,4,5,6,7,1,8]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[6,5,8,7,4,3,2,1]=>[8,7,6,5,2,1,4,3]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[5,6,4,3,2,1,8,7]=>[5,4,8,6,3,2,1,7]=>[7,6,5,2,1,4,8,3]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[4,6,5,3,2,1,8,7]=>[6,4,8,5,3,2,1,7]=>[7,6,5,2,4,1,8,3]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[5,4,6,3,2,1,8,7]=>[5,4,8,6,3,2,7,1]=>[8,6,5,2,1,4,7,3]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[4,3,8,5,2,1,6,7]=>[6,5,2,1,4,7,8,3]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[3,6,5,4,2,1,8,7]=>[6,3,8,5,4,2,1,7]=>[7,6,2,5,4,1,8,3]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[3,5,6,4,2,1,8,7]=>[5,3,8,4,2,1,6,7]=>[6,5,2,4,1,7,8,3]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[4,3,6,5,2,1,8,7]=>[4,3,6,5,2,1,8,7]=>[6,5,2,1,4,3,8,7]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>[3,4,6,5,2,1,8,7]=>[6,3,8,4,2,1,5,7]=>[6,5,2,4,7,1,8,3]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[5,4,3,6,2,1,8,7]=>[5,4,8,6,3,7,2,1]=>[8,7,5,2,1,4,6,3]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[4,5,3,6,2,1,8,7]=>[4,3,8,5,2,6,1,7]=>[7,5,2,1,4,6,8,3]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>[4,3,5,6,2,1,8,7]=>[4,3,8,5,2,6,7,1]=>[8,5,2,1,4,6,7,3]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[3,4,5,6,2,1,8,7]=>[3,2,8,4,1,5,6,7]=>[5,2,1,4,6,7,8,3]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[2,6,5,4,3,1,8,7]=>[6,2,8,5,4,3,1,7]=>[7,2,6,5,4,1,8,3]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[2,5,6,4,3,1,8,7]=>[5,2,8,4,3,1,6,7]=>[6,2,5,4,1,7,8,3]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[2,4,6,5,3,1,8,7]=>[6,2,8,4,3,1,5,7]=>[6,2,5,4,7,1,8,3]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[3,2,6,5,4,1,8,7]=>[3,2,6,5,4,1,8,7]=>[6,2,1,5,4,3,8,7]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[3,2,5,6,4,1,8,7]=>[3,2,5,4,1,6,8,7]=>[5,2,1,4,3,6,8,7]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[2,3,6,5,4,1,8,7]=>[6,2,8,5,3,1,4,7]=>[6,2,5,7,4,1,8,3]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[2,3,5,6,4,1,8,7]=>[5,2,8,3,1,4,6,7]=>[5,2,4,6,1,7,8,3]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[4,3,2,6,5,1,8,7]=>[4,3,6,5,2,8,7,1]=>[8,5,2,1,4,3,7,6]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[3,4,2,6,5,1,8,7]=>[3,2,6,4,1,8,5,7]=>[5,2,1,4,7,3,8,6]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[2,4,3,6,5,1,8,7]=>[4,2,6,3,1,8,5,7]=>[5,2,4,1,7,3,8,6]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[5,4,3,2,6,1,8,7]=>[5,4,8,6,7,3,2,1]=>[8,7,6,2,1,4,5,3]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[4,5,3,2,6,1,8,7]=>[4,3,8,5,6,2,1,7]=>[7,6,2,1,4,5,8,3]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>[3,5,4,2,6,1,8,7]=>[5,3,8,4,6,2,1,7]=>[7,6,2,4,1,5,8,3]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[4,3,5,2,6,1,8,7]=>[4,3,8,5,6,2,7,1]=>[8,6,2,1,4,5,7,3]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[3,4,5,2,6,1,8,7]=>[3,2,8,4,5,1,6,7]=>[6,2,1,4,5,7,8,3]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>[2,5,4,3,6,1,8,7]=>[5,2,8,4,6,3,1,7]=>[7,2,6,4,1,5,8,3]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>[2,4,5,3,6,1,8,7]=>[4,2,8,3,5,1,6,7]=>[6,2,4,1,5,7,8,3]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[3,2,5,4,6,1,8,7]=>[3,2,5,4,6,1,8,7]=>[6,2,1,4,3,5,8,7]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[4,3,2,5,6,1,8,7]=>[4,3,8,5,6,7,2,1]=>[8,7,2,1,4,5,6,3]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[3,4,2,5,6,1,8,7]=>[3,2,8,4,5,6,1,7]=>[7,2,1,4,5,6,8,3]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>[2,4,3,5,6,1,8,7]=>[4,2,8,3,5,6,1,7]=>[7,2,4,1,5,6,8,3]
[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,1,8,7]=>[2,1,8,3,4,5,6,7]=>[2,1,4,5,6,7,8,3]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[1,6,5,4,3,2,8,7]=>[6,1,8,5,4,3,2,7]=>[2,7,6,5,4,1,8,3]
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>[1,5,6,4,3,2,8,7]=>[5,1,8,4,3,2,6,7]=>[2,6,5,4,1,7,8,3]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>[1,5,4,6,3,2,8,7]=>[5,1,8,4,3,6,2,7]=>[2,7,5,4,1,6,8,3]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[1,3,6,5,4,2,8,7]=>[6,1,8,5,3,2,4,7]=>[2,6,5,7,4,1,8,3]
[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[1,3,4,5,6,2,8,7]=>[3,1,8,2,4,5,6,7]=>[2,4,1,5,6,7,8,3]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[2,1,5,6,4,3,8,7]=>[2,1,5,4,3,6,8,7]=>[2,1,5,4,3,6,8,7]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,6,5,3,8,7]=>[2,1,6,4,3,5,8,7]=>[2,1,5,4,6,3,8,7]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[2,1,5,4,6,3,8,7]=>[2,1,5,4,6,3,8,7]=>[2,1,6,4,3,5,8,7]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[2,1,4,5,6,3,8,7]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]
[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[1,2,4,5,6,3,8,7]=>[4,1,8,2,3,5,6,7]=>[2,4,5,1,6,7,8,3]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[2,3,1,6,5,4,8,7]=>[2,1,6,5,3,8,4,7]=>[2,1,5,7,4,3,8,6]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[1,3,2,6,5,4,8,7]=>[3,1,6,5,2,8,4,7]=>[2,5,1,7,4,3,8,6]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[1,3,2,5,6,4,8,7]=>[3,1,5,2,4,8,6,7]=>[2,4,1,5,3,7,8,6]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[2,1,3,5,6,4,8,7]=>[2,1,5,3,4,6,8,7]=>[2,1,4,5,3,6,8,7]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[1,2,3,6,5,4,8,7]=>[6,1,8,5,2,3,4,7]=>[2,5,6,7,4,1,8,3]
[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[1,2,3,5,6,4,8,7]=>[5,1,8,2,3,4,6,7]=>[2,4,5,6,1,7,8,3]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[4,3,6,5,8,7,2,1]=>[8,7,2,1,4,3,6,5]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[3,2,6,4,8,5,1,7]=>[7,2,1,4,6,3,8,5]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7]=>[4,2,6,3,8,5,1,7]=>[7,2,4,1,6,3,8,5]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7]=>[3,2,6,4,8,5,7,1]=>[8,2,1,4,6,3,7,5]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[2,3,4,1,6,5,8,7]=>[2,1,6,3,8,4,5,7]=>[2,1,4,6,7,3,8,5]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[1,3,4,2,6,5,8,7]=>[3,1,6,2,8,4,5,7]=>[2,4,1,6,7,3,8,5]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[1,2,4,3,6,5,8,7]=>[4,1,6,2,8,3,5,7]=>[2,4,6,1,7,3,8,5]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[2,3,1,4,6,5,8,7]=>[2,1,6,3,4,8,5,7]=>[2,1,4,5,7,3,8,6]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[1,3,2,4,6,5,8,7]=>[3,1,6,2,4,8,5,7]=>[2,4,1,5,7,3,8,6]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[2,1,3,4,6,5,8,7]=>[2,1,6,3,4,5,8,7]=>[2,1,4,5,6,3,8,7]
[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,6,5,8,7]=>[6,1,8,2,3,4,5,7]=>[2,4,5,6,7,1,8,3]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[5,4,3,2,1,6,8,7]=>[5,4,6,8,7,3,2,1]=>[8,7,6,2,1,3,5,4]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[4,5,3,2,1,6,8,7]=>[4,3,5,8,6,2,1,7]=>[7,6,2,1,3,5,8,4]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>[3,5,4,2,1,6,8,7]=>[5,3,4,8,6,2,1,7]=>[7,6,2,3,1,5,8,4]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[4,3,5,2,1,6,8,7]=>[4,3,5,8,6,2,7,1]=>[8,6,2,1,3,5,7,4]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[3,4,5,2,1,6,8,7]=>[3,2,4,8,5,1,6,7]=>[6,2,1,3,5,7,8,4]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[2,5,4,3,1,6,8,7]=>[5,2,4,8,6,3,1,7]=>[7,2,6,3,1,5,8,4]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[2,4,5,3,1,6,8,7]=>[4,2,3,8,5,1,6,7]=>[6,2,3,1,5,7,8,4]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[3,2,5,4,1,6,8,7]=>[3,2,5,6,4,1,8,7]=>[6,2,1,5,3,4,8,7]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[2,3,5,4,1,6,8,7]=>[5,2,3,8,4,1,6,7]=>[6,2,3,5,1,7,8,4]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>[2,4,3,5,1,6,8,7]=>[4,2,3,8,5,6,1,7]=>[7,2,3,1,5,6,8,4]
[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>[2,3,4,5,1,6,8,7]=>[2,1,3,8,4,5,6,7]=>[2,1,3,5,6,7,8,4]
[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>[1,4,5,3,2,6,8,7]=>[4,1,3,8,5,2,6,7]=>[2,6,3,1,5,7,8,4]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[1,3,5,4,2,6,8,7]=>[5,1,3,8,4,2,6,7]=>[2,6,3,5,1,7,8,4]
[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>[1,3,4,5,2,6,8,7]=>[3,1,2,8,4,5,6,7]=>[2,3,1,5,6,7,8,4]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[2,1,4,5,3,6,8,7]=>[2,1,4,5,3,6,8,7]=>[2,1,5,3,4,6,8,7]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[1,2,5,4,3,6,8,7]=>[5,1,2,8,4,3,6,7]=>[2,3,6,5,1,7,8,4]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]
[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[1,2,3,5,4,6,8,7]=>[5,1,2,8,3,4,6,7]=>[2,3,5,6,1,7,8,4]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[4,3,2,1,5,6,8,7]=>[4,3,5,6,8,7,2,1]=>[8,7,2,1,3,4,6,5]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[3,2,4,1,5,6,8,7]=>[3,2,4,5,8,6,7,1]=>[8,2,1,3,4,6,7,5]
[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[2,3,4,1,5,6,8,7]=>[2,1,3,4,8,5,6,7]=>[2,1,3,4,6,7,8,5]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[1,4,3,2,5,6,8,7]=>[4,1,3,5,8,6,2,7]=>[2,7,3,1,4,6,8,5]
[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[1,3,4,2,5,6,8,7]=>[3,1,2,4,8,5,6,7]=>[2,3,1,4,6,7,8,5]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[2,1,4,3,5,6,8,7]=>[2,1,4,5,6,3,8,7]=>[2,1,6,3,4,5,8,7]
[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[1,2,4,3,5,6,8,7]=>[4,1,2,3,8,5,6,7]=>[2,3,4,1,6,7,8,5]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[3,2,1,4,5,6,8,7]=>[3,2,4,5,6,8,7,1]=>[8,2,1,3,4,5,7,6]
[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[2,3,1,4,5,6,8,7]=>[2,1,3,4,5,8,6,7]=>[2,1,3,4,5,7,8,6]
[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[1,3,2,4,5,6,8,7]=>[3,1,2,4,5,8,6,7]=>[2,3,1,4,5,7,8,6]
[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]
[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,8,7]=>[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,1,2]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[6,7,5,4,3,2,1,8]=>[7,6,5,4,3,1,2,8]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[5,7,6,4,3,2,1,8]=>[5,7,6,4,3,2,1,8]=>[7,6,5,4,1,3,2,8]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[6,7,5,4,3,2,8,1]=>[8,6,5,4,3,1,2,7]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[5,6,4,3,2,1,7,8]=>[6,5,4,3,1,2,7,8]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[4,7,6,5,3,2,1,8]=>[4,7,6,5,3,2,1,8]=>[7,6,5,1,4,3,2,8]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>[4,6,7,5,3,2,1,8]=>[4,6,5,3,2,1,7,8]=>[6,5,4,1,3,2,7,8]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>[5,4,7,6,3,2,1,8]=>[5,7,4,3,2,1,8,6]=>[6,5,4,3,1,8,2,7]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[4,5,7,6,3,2,1,8]=>[4,7,5,3,2,1,6,8]=>[6,5,4,1,3,7,2,8]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[6,7,5,4,3,8,2,1]=>[8,7,5,4,3,1,2,6]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>[4,6,5,7,3,2,1,8]=>[4,6,5,3,2,7,1,8]=>[7,5,4,1,3,2,6,8]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>[5,4,6,7,3,2,1,8]=>[5,6,4,3,2,7,8,1]=>[8,5,4,3,1,2,6,7]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[4,5,3,2,1,6,7,8]=>[5,4,3,1,2,6,7,8]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[3,5,7,6,4,2,1,8]=>[3,7,5,4,2,1,6,8]=>[6,5,1,4,3,7,2,8]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[3,5,6,7,4,2,1,8]=>[3,5,4,2,1,6,7,8]=>[5,4,1,3,2,6,7,8]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[4,3,7,6,5,2,1,8]=>[4,7,6,3,2,1,8,5]=>[6,5,4,1,8,3,2,7]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[3,4,7,6,5,2,1,8]=>[3,7,6,4,2,1,5,8]=>[6,5,1,4,7,3,2,8]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>[5,4,3,7,6,2,1,8]=>[5,7,4,3,2,8,6,1]=>[8,5,4,3,1,7,2,6]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[4,5,3,7,6,2,1,8]=>[4,5,3,2,1,7,6,8]=>[5,4,3,1,2,7,6,8]
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>[3,5,4,7,6,2,1,8]=>[3,5,4,2,1,7,6,8]=>[5,4,1,3,2,7,6,8]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>[4,3,5,7,6,2,1,8]=>[4,5,3,2,1,7,8,6]=>[5,4,3,1,2,8,6,7]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[6,7,5,4,8,3,2,1]=>[8,7,6,4,3,1,2,5]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]=>[5,6,4,3,7,2,1,8]=>[5,6,4,3,7,2,1,8]=>[7,6,4,3,1,2,5,8]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[5,6,4,3,7,2,8,1]=>[8,6,4,3,1,2,5,7]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]=>[3,6,5,4,7,2,1,8]=>[3,6,5,4,7,2,1,8]=>[7,6,1,4,3,2,5,8]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.]=>[3,5,6,4,7,2,1,8]=>[3,5,4,2,6,1,7,8]=>[6,4,1,3,2,5,7,8]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.]=>[4,3,6,5,7,2,1,8]=>[4,6,3,2,7,1,8,5]=>[6,4,3,1,8,2,5,7]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[5,6,4,3,7,8,2,1]=>[8,7,4,3,1,2,5,6]
[[.,[.,[[[[[.,.],.],.],.],.]]],.]=>[3,4,5,6,7,2,1,8]=>[3,4,2,1,5,6,7,8]=>[4,3,1,2,5,6,7,8]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[2,7,6,5,4,3,1,8]=>[2,7,6,5,4,3,1,8]=>[7,1,6,5,4,3,2,8]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>[2,6,7,5,4,3,1,8]=>[2,6,5,4,3,1,7,8]=>[6,1,5,4,3,2,7,8]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[2,5,7,6,4,3,1,8]=>[2,7,5,4,3,1,6,8]=>[6,1,5,4,3,7,2,8]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[2,5,6,7,4,3,1,8]=>[2,5,4,3,1,6,7,8]=>[5,1,4,3,2,6,7,8]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[2,4,6,7,5,3,1,8]=>[2,6,4,3,1,5,7,8]=>[5,1,4,3,6,2,7,8]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>[2,5,4,7,6,3,1,8]=>[2,5,4,3,1,7,6,8]=>[5,1,4,3,2,7,6,8]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[2,5,6,4,7,3,1,8]=>[2,5,4,3,6,1,7,8]=>[6,1,4,3,2,5,7,8]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>[2,5,4,6,7,3,1,8]=>[2,5,4,3,6,7,1,8]=>[7,1,4,3,2,5,6,8]
[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[2,4,5,6,7,3,1,8]=>[2,4,3,1,5,6,7,8]=>[4,1,3,2,5,6,7,8]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[3,2,7,6,5,4,1,8]=>[3,7,6,5,2,1,8,4]=>[6,5,1,8,4,3,2,7]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[3,2,6,7,5,4,1,8]=>[3,6,5,2,1,7,8,4]=>[5,4,1,8,3,2,6,7]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[3,2,5,7,6,4,1,8]=>[3,7,5,2,1,6,8,4]=>[5,4,1,8,3,6,2,7]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[3,2,6,5,7,4,1,8]=>[3,6,5,2,7,1,8,4]=>[6,4,1,8,3,2,5,7]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[3,2,5,6,7,4,1,8]=>[3,5,2,1,6,7,8,4]=>[4,3,1,8,2,5,6,7]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[2,3,7,6,5,4,1,8]=>[2,7,6,5,3,1,4,8]=>[6,1,5,7,4,3,2,8]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[2,3,6,7,5,4,1,8]=>[2,6,5,3,1,4,7,8]=>[5,1,4,6,3,2,7,8]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[2,3,5,7,6,4,1,8]=>[2,7,5,3,1,4,6,8]=>[5,1,4,6,3,7,2,8]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[2,3,6,5,7,4,1,8]=>[2,6,5,3,4,1,7,8]=>[6,1,4,5,3,2,7,8]
[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[2,3,5,6,7,4,1,8]=>[2,5,3,1,4,6,7,8]=>[4,1,3,5,2,6,7,8]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[4,3,2,6,7,5,1,8]=>[4,6,3,2,7,8,5,1]=>[8,4,3,1,7,2,5,6]
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>[3,4,2,7,6,5,1,8]=>[3,7,4,2,1,6,5,8]=>[5,4,1,3,7,6,2,8]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[3,4,2,6,7,5,1,8]=>[3,4,2,1,6,7,5,8]=>[4,3,1,2,7,5,6,8]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[3,2,4,6,7,5,1,8]=>[3,4,2,1,6,7,8,5]=>[4,3,1,2,8,5,6,7]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[2,3,4,7,6,5,1,8]=>[2,7,6,3,1,4,5,8]=>[5,1,4,6,7,3,2,8]
[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>[2,3,4,6,7,5,1,8]=>[2,6,3,1,4,5,7,8]=>[4,1,3,5,6,2,7,8]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[5,4,3,2,7,6,1,8]=>[5,7,4,3,8,6,2,1]=>[8,7,4,3,1,6,2,5]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[4,5,3,2,7,6,1,8]=>[4,5,3,2,7,6,1,8]=>[7,4,3,1,2,6,5,8]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[3,5,4,2,7,6,1,8]=>[3,5,4,2,7,6,1,8]=>[7,4,1,3,2,6,5,8]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[4,3,5,2,7,6,1,8]=>[4,5,3,2,7,6,8,1]=>[8,4,3,1,2,6,5,7]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.]=>[3,4,5,2,7,6,1,8]=>[3,4,2,1,7,5,6,8]=>[4,3,1,2,6,7,5,8]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,1,8]=>[3,5,2,1,7,4,8,6]=>[4,3,1,6,2,8,5,7]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[4,3,2,5,7,6,1,8]=>[4,5,3,2,7,8,6,1]=>[8,4,3,1,2,7,5,6]
[[.,[[[.,[[.,.],.]],.],[.,.]]],.]=>[3,4,2,5,7,6,1,8]=>[3,4,2,1,5,7,6,8]=>[4,3,1,2,5,7,6,8]
[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>[2,3,4,5,7,6,1,8]=>[2,7,3,1,4,5,6,8]=>[4,1,3,5,6,7,2,8]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>[6,5,4,3,2,7,1,8]=>[6,7,5,8,4,3,2,1]=>[8,7,6,5,3,1,2,4]
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]=>[5,6,4,3,2,7,1,8]=>[5,6,4,7,3,2,1,8]=>[7,6,5,3,1,2,4,8]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>[5,4,6,3,2,7,1,8]=>[5,6,4,7,3,2,8,1]=>[8,6,5,3,1,2,4,7]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>[3,6,5,4,2,7,1,8]=>[3,6,5,7,4,2,1,8]=>[7,6,1,5,3,2,4,8]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[3,5,6,4,2,7,1,8]=>[3,5,4,6,2,1,7,8]=>[6,5,1,3,2,4,7,8]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>[3,4,6,5,2,7,1,8]=>[3,6,4,5,2,1,7,8]=>[6,5,1,3,4,2,7,8]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[5,4,3,6,2,7,1,8]=>[5,6,4,7,3,8,2,1]=>[8,7,5,3,1,2,4,6]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[4,5,3,6,2,7,1,8]=>[7,5,3,1,2,4,6,8]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>[3,5,4,6,2,7,1,8]=>[3,5,4,6,2,7,1,8]=>[7,5,1,3,2,4,6,8]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.]=>[4,3,5,6,2,7,1,8]=>[4,5,3,6,2,7,8,1]=>[8,5,3,1,2,4,6,7]
[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[3,4,2,5,1,6,7,8]=>[5,3,1,2,4,6,7,8]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>[2,5,4,6,3,7,1,8]=>[2,5,4,6,3,7,1,8]=>[7,1,5,3,2,4,6,8]
[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>[2,4,5,6,3,7,1,8]=>[2,4,3,5,1,6,7,8]=>[5,1,3,2,4,6,7,8]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>[3,2,6,5,4,7,1,8]=>[3,6,5,7,2,1,8,4]=>[6,5,1,8,3,2,4,7]
[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>[2,3,5,6,4,7,1,8]=>[2,5,3,4,1,6,7,8]=>[5,1,3,4,2,6,7,8]
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]=>[4,3,2,6,5,7,1,8]=>[4,6,3,7,2,8,5,1]=>[8,5,3,1,7,2,4,6]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>[3,4,2,6,5,7,1,8]=>[3,4,2,6,1,7,5,8]=>[5,3,1,2,7,4,6,8]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[2,4,3,6,5,7,1,8]=>[2,4,3,6,1,7,5,8]=>[5,1,3,2,7,4,6,8]
[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[2,3,4,6,5,7,1,8]=>[2,6,3,4,1,5,7,8]=>[5,1,3,4,6,2,7,8]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[5,6,4,7,8,3,2,1]=>[8,7,6,3,1,2,4,5]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[3,5,4,2,6,7,1,8]=>[3,5,4,6,7,2,1,8]=>[7,6,1,3,2,4,5,8]
[[.,[[[.,[[[.,.],.],.]],.],.]],.]=>[3,4,5,2,6,7,1,8]=>[3,4,2,5,6,1,7,8]=>[6,3,1,2,4,5,7,8]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>[2,5,4,3,6,7,1,8]=>[2,5,4,6,7,3,1,8]=>[7,1,6,3,2,4,5,8]
[[.,[[[[[.,.],.],[.,.]],.],.]],.]=>[2,3,5,4,6,7,1,8]=>[2,5,3,4,6,1,7,8]=>[6,1,3,4,2,5,7,8]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.]=>[4,3,2,5,6,7,1,8]=>[4,5,3,6,7,8,2,1]=>[8,7,3,1,2,4,5,6]
[[.,[[[[.,[[.,.],.]],.],.],.]],.]=>[3,4,2,5,6,7,1,8]=>[3,4,2,5,6,7,1,8]=>[7,3,1,2,4,5,6,8]
[[.,[[[[[.,.],[.,.]],.],.],.]],.]=>[2,4,3,5,6,7,1,8]=>[2,4,3,5,6,7,1,8]=>[7,1,3,2,4,5,6,8]
[[.,[[[[[.,[.,.]],.],.],.],.]],.]=>[3,2,4,5,6,7,1,8]=>[3,4,2,5,6,7,8,1]=>[8,3,1,2,4,5,6,7]
[[.,[[[[[[.,.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,1,8]=>[2,3,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[1,7,6,5,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[1,7,6,5,4,3,2,8]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>[1,6,7,5,4,3,2,8]=>[1,6,5,4,3,2,7,8]=>[1,6,5,4,3,2,7,8]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]=>[1,6,5,7,4,3,2,8]=>[1,6,5,4,3,7,2,8]=>[1,7,5,4,3,2,6,8]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>[1,5,6,7,4,3,2,8]=>[1,5,4,3,2,6,7,8]=>[1,5,4,3,2,6,7,8]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>[1,4,7,6,5,3,2,8]=>[1,7,6,4,3,2,5,8]=>[1,6,5,4,7,3,2,8]
[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>[1,4,6,7,5,3,2,8]=>[1,6,4,3,2,5,7,8]=>[1,5,4,3,6,2,7,8]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>[1,5,4,7,6,3,2,8]=>[1,5,4,3,2,7,6,8]=>[1,5,4,3,2,7,6,8]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.]=>[1,5,6,4,7,3,2,8]=>[1,5,4,3,6,2,7,8]=>[1,6,4,3,2,5,7,8]
[[[.,.],[.,[[[.,.],[.,.]],.]]],.]=>[1,4,6,5,7,3,2,8]=>[1,6,4,3,5,2,7,8]=>[1,6,4,3,5,2,7,8]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>[1,5,4,6,7,3,2,8]=>[1,5,4,3,6,7,2,8]=>[1,7,4,3,2,5,6,8]
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[1,4,5,6,7,3,2,8]=>[1,4,3,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[1,3,7,6,5,4,2,8]=>[1,7,6,5,3,2,4,8]=>[1,6,5,7,4,3,2,8]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>[1,3,6,7,5,4,2,8]=>[1,6,5,3,2,4,7,8]=>[1,5,4,6,3,2,7,8]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[1,3,5,7,6,4,2,8]=>[1,7,5,3,2,4,6,8]=>[1,5,4,6,3,7,2,8]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>[1,3,6,5,7,4,2,8]=>[1,6,5,3,4,2,7,8]=>[1,6,4,5,3,2,7,8]
[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>[1,3,5,6,7,4,2,8]=>[1,5,3,2,4,6,7,8]=>[1,4,3,5,2,6,7,8]
[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[1,3,4,6,7,5,2,8]=>[1,6,3,2,4,5,7,8]=>[1,4,3,5,6,2,7,8]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[1,3,5,4,7,6,2,8]=>[1,5,3,2,7,4,6,8]=>[1,4,3,6,2,7,5,8]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>[1,4,3,5,7,6,2,8]=>[1,4,3,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]
[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[1,3,4,5,7,6,2,8]=>[1,7,3,2,4,5,6,8]=>[1,4,3,5,6,7,2,8]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>[1,5,4,6,3,7,2,8]=>[1,5,4,6,3,7,2,8]=>[1,7,5,3,2,4,6,8]
[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>[1,4,5,6,3,7,2,8]=>[1,4,3,5,2,6,7,8]=>[1,5,3,2,4,6,7,8]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>[1,3,6,5,4,7,2,8]=>[1,6,3,5,4,2,7,8]=>[1,6,3,5,4,2,7,8]
[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[1,3,5,6,4,7,2,8]=>[1,5,3,4,2,6,7,8]=>[1,5,3,4,2,6,7,8]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>[1,4,3,6,5,7,2,8]=>[1,4,3,6,2,7,5,8]=>[1,5,3,2,7,4,6,8]
[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>[1,3,4,6,5,7,2,8]=>[1,6,3,4,2,5,7,8]=>[1,5,3,4,6,2,7,8]
[[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>[1,5,4,3,6,7,2,8]=>[1,5,4,6,7,3,2,8]=>[1,7,6,3,2,4,5,8]
[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[1,4,5,3,6,7,2,8]=>[1,4,3,5,6,2,7,8]=>[1,6,3,2,4,5,7,8]
[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>[1,3,5,4,6,7,2,8]=>[1,5,3,4,6,2,7,8]=>[1,6,3,4,2,5,7,8]
[[[.,.],[[[[.,[.,.]],.],.],.]],.]=>[1,4,3,5,6,7,2,8]=>[1,4,3,5,6,7,2,8]=>[1,7,3,2,4,5,6,8]
[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[1,3,4,5,6,7,2,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[2,1,7,6,5,4,3,8]=>[2,7,6,5,4,1,8,3]=>[6,1,8,5,4,3,2,7]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>[2,1,6,7,5,4,3,8]=>[2,6,5,4,1,7,8,3]=>[5,1,8,4,3,2,6,7]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[2,1,5,6,7,4,3,8]=>[2,5,4,1,6,7,8,3]=>[4,1,8,3,2,5,6,7]
[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>[2,1,4,6,7,5,3,8]=>[2,6,4,1,5,7,8,3]=>[4,1,8,3,5,2,6,7]
[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[2,1,4,5,6,7,3,8]=>[2,4,1,5,6,7,8,3]=>[3,1,8,2,4,5,6,7]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[1,2,7,6,5,4,3,8]=>[1,7,6,5,4,2,3,8]=>[1,6,7,5,4,3,2,8]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>[1,2,6,7,5,4,3,8]=>[1,6,5,4,2,3,7,8]=>[1,5,6,4,3,2,7,8]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[1,2,5,7,6,4,3,8]=>[1,7,5,4,2,3,6,8]=>[1,5,6,4,3,7,2,8]
[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[1,2,5,6,7,4,3,8]=>[1,5,4,2,3,6,7,8]=>[1,4,5,3,2,6,7,8]
[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>[1,2,4,6,7,5,3,8]=>[1,6,4,2,3,5,7,8]=>[1,4,5,3,6,2,7,8]
[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[1,2,5,6,4,7,3,8]=>[1,5,2,4,3,6,7,8]=>[1,3,5,4,2,6,7,8]
[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[1,2,4,6,5,7,3,8]=>[1,6,2,4,3,5,7,8]=>[1,3,5,4,6,2,7,8]
[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[1,2,5,4,6,7,3,8]=>[1,5,2,4,6,3,7,8]=>[1,3,6,4,2,5,7,8]
[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[1,2,4,5,6,7,3,8]=>[1,4,2,3,5,6,7,8]=>[1,3,4,2,5,6,7,8]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[3,2,1,7,6,5,4,8]=>[3,7,6,2,1,8,5,4]=>[5,4,1,8,7,3,2,6]
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>[3,2,1,6,7,5,4,8]=>[3,6,2,1,7,8,5,4]=>[4,3,1,8,7,2,5,6]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[3,2,1,5,7,6,4,8]=>[3,5,2,1,7,8,6,4]=>[4,3,1,8,2,7,5,6]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[3,2,1,5,6,7,4,8]=>[3,5,2,6,7,8,4,1]=>[8,3,1,7,2,4,5,6]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>[2,3,1,6,7,5,4,8]=>[2,6,3,1,5,7,4,8]=>[4,1,3,7,5,2,6,8]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[2,3,1,6,5,7,4,8]=>[2,6,3,5,1,7,4,8]=>[5,1,3,7,4,2,6,8]
[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[2,3,1,5,6,7,4,8]=>[2,3,1,5,6,7,4,8]=>[3,1,2,7,4,5,6,8]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[1,3,2,7,6,5,4,8]=>[1,7,6,3,2,5,4,8]=>[1,5,4,7,6,3,2,8]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>[1,3,2,6,7,5,4,8]=>[1,6,3,2,5,7,4,8]=>[1,4,3,7,5,2,6,8]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[1,3,2,5,7,6,4,8]=>[1,7,3,2,5,6,4,8]=>[1,4,3,7,5,6,2,8]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>[1,3,2,6,5,7,4,8]=>[1,6,3,5,2,7,4,8]=>[1,5,3,7,4,2,6,8]
[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[1,3,2,5,6,7,4,8]=>[1,3,2,5,6,7,4,8]=>[1,3,2,7,4,5,6,8]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>[2,1,3,6,7,5,4,8]=>[2,6,3,1,5,7,8,4]=>[4,1,3,8,5,2,6,7]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[1,2,3,7,6,5,4,8]=>[1,7,6,5,2,3,4,8]=>[1,5,6,7,4,3,2,8]
[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[1,2,3,6,7,5,4,8]=>[1,6,5,2,3,4,7,8]=>[1,4,5,6,3,2,7,8]
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[1,2,3,5,7,6,4,8]=>[1,7,5,2,3,4,6,8]=>[1,4,5,6,3,7,2,8]
[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[1,2,3,6,5,7,4,8]=>[1,6,2,5,3,4,7,8]=>[1,3,5,6,4,2,7,8]
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[1,2,3,5,6,7,4,8]=>[1,5,2,3,4,6,7,8]=>[1,3,4,5,2,6,7,8]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[4,3,2,1,7,6,5,8]=>[4,7,3,2,8,6,5,1]=>[8,4,3,1,7,6,2,5]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[4,3,2,1,6,7,5,8]=>[4,6,3,7,8,5,2,1]=>[8,7,3,1,6,2,4,5]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[3,2,4,1,7,6,5,8]=>[3,4,2,1,7,6,8,5]=>[4,3,1,2,8,6,5,7]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>[3,2,4,1,6,7,5,8]=>[3,4,2,6,7,5,8,1]=>[8,3,1,2,6,4,5,7]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[2,3,4,1,7,6,5,8]=>[2,7,3,1,6,4,5,8]=>[4,1,3,6,7,5,2,8]
[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[2,3,4,1,6,7,5,8]=>[2,3,1,4,6,5,7,8]=>[3,1,2,4,6,5,7,8]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]
[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[1,3,4,2,6,7,5,8]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]
[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[1,2,4,3,6,7,5,8]=>[1,4,2,3,6,5,7,8]=>[1,3,4,2,6,5,7,8]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[3,2,1,4,7,6,5,8]=>[3,4,2,1,7,8,6,5]=>[4,3,1,2,8,7,5,6]
[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[2,3,1,4,6,7,5,8]=>[2,3,1,4,6,7,5,8]=>[3,1,2,4,7,5,6,8]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[1,3,2,4,7,6,5,8]=>[1,7,3,2,4,6,5,8]=>[1,4,3,5,7,6,2,8]
[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,5,6,8]
[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>[2,1,3,4,6,7,5,8]=>[2,3,1,4,6,7,8,5]=>[3,1,2,4,8,5,6,7]
[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[1,2,3,4,7,6,5,8]=>[1,7,6,2,3,4,5,8]=>[1,4,5,6,7,3,2,8]
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[1,2,3,4,6,7,5,8]=>[1,6,2,3,4,5,7,8]=>[1,3,4,5,6,2,7,8]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[5,4,3,2,1,7,6,8]=>[5,7,4,8,6,3,2,1]=>[8,7,6,3,1,5,2,4]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]=>[4,5,3,2,1,7,6,8]=>[4,5,3,7,6,2,1,8]=>[7,6,3,1,2,5,4,8]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>[3,5,4,2,1,7,6,8]=>[3,5,4,7,6,2,1,8]=>[7,6,1,3,2,5,4,8]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>[3,4,5,2,1,7,6,8]=>[3,4,2,7,5,1,6,8]=>[6,3,1,2,5,7,4,8]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>[2,5,4,3,1,7,6,8]=>[2,5,4,7,6,3,1,8]=>[7,1,6,3,2,5,4,8]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>[2,4,5,3,1,7,6,8]=>[2,4,3,7,5,1,6,8]=>[6,1,3,2,5,7,4,8]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[3,2,5,4,1,7,6,8]=>[3,5,2,7,4,1,8,6]=>[6,3,1,5,2,8,4,7]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[2,3,5,4,1,7,6,8]=>[2,5,3,7,4,1,6,8]=>[6,1,3,5,2,7,4,8]
[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>[3,4,2,5,1,7,6,8]=>[3,4,2,7,5,6,1,8]=>[7,3,1,2,5,6,4,8]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>[2,4,3,5,1,7,6,8]=>[2,4,3,7,5,6,1,8]=>[7,1,3,2,5,6,4,8]
[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[2,3,4,5,1,7,6,8]=>[2,3,1,7,4,5,6,8]=>[3,1,2,5,6,7,4,8]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>[1,5,4,3,2,7,6,8]=>[1,5,4,7,6,3,2,8]=>[1,7,6,3,2,5,4,8]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>[1,4,5,3,2,7,6,8]=>[1,4,3,7,5,2,6,8]=>[1,6,3,2,5,7,4,8]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[1,3,5,4,2,7,6,8]=>[1,5,3,7,4,2,6,8]=>[1,6,3,5,2,7,4,8]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[1,4,3,5,2,7,6,8]=>[1,4,3,7,5,6,2,8]=>[1,7,3,2,5,6,4,8]
[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[1,3,4,5,2,7,6,8]=>[1,3,2,7,4,5,6,8]=>[1,3,2,5,6,7,4,8]
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>[2,1,5,4,3,7,6,8]=>[2,5,1,7,4,3,8,6]=>[3,1,6,5,2,8,4,7]
[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[1,2,4,5,3,7,6,8]=>[1,4,2,7,3,5,6,8]=>[1,3,5,2,6,7,4,8]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[3,2,1,5,4,7,6,8]=>[3,5,2,7,4,8,6,1]=>[8,3,1,5,2,7,4,6]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[2,3,1,5,4,7,6,8]=>[2,3,1,5,4,7,6,8]=>[3,1,2,5,4,7,6,8]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]
[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[1,2,3,5,4,7,6,8]=>[1,5,2,7,3,4,6,8]=>[1,3,5,6,2,7,4,8]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[4,3,2,1,5,7,6,8]=>[4,5,3,7,8,6,2,1]=>[8,7,3,1,2,6,4,5]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>[3,2,4,1,5,7,6,8]=>[3,4,2,5,7,6,8,1]=>[8,3,1,2,4,6,5,7]
[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[2,3,4,1,5,7,6,8]=>[2,3,1,4,7,5,6,8]=>[3,1,2,4,6,7,5,8]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[1,4,3,2,5,7,6,8]=>[1,4,3,5,7,6,2,8]=>[1,7,3,2,4,6,5,8]
[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[1,3,4,2,5,7,6,8]=>[1,3,2,4,7,5,6,8]=>[1,3,2,4,6,7,5,8]
[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[1,2,4,3,5,7,6,8]=>[1,4,2,3,7,5,6,8]=>[1,3,4,2,6,7,5,8]
[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[2,3,1,4,5,7,6,8]=>[2,3,1,4,5,7,6,8]=>[3,1,2,4,5,7,6,8]
[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]
[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>[2,1,3,4,5,7,6,8]=>[2,3,1,4,5,7,8,6]=>[3,1,2,4,5,8,6,7]
[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,7,6,8]=>[1,7,2,3,4,5,6,8]=>[1,3,4,5,6,7,2,8]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[6,5,4,3,2,1,7,8]=>[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,1,2,3]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>[5,6,4,3,2,1,7,8]=>[5,6,7,4,3,2,1,8]=>[7,6,5,4,1,2,3,8]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>[5,4,6,3,2,1,7,8]=>[5,6,7,4,3,2,8,1]=>[8,6,5,4,1,2,3,7]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[4,5,6,3,2,1,7,8]=>[6,5,4,1,2,3,7,8]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[3,6,5,4,2,1,7,8]=>[3,6,7,5,4,2,1,8]=>[7,6,1,5,4,2,3,8]
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]=>[4,3,6,5,2,1,7,8]=>[4,6,7,3,2,1,8,5]=>[6,5,4,1,8,2,3,7]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>[5,4,3,6,2,1,7,8]=>[5,6,7,4,3,8,2,1]=>[8,7,5,4,1,2,3,6]
[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[3,4,5,2,1,6,7,8]=>[5,4,1,2,3,6,7,8]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>[2,4,6,5,3,1,7,8]=>[2,4,6,5,3,1,7,8]=>[6,1,5,2,4,3,7,8]
[[[.,[[.,.],[[[.,.],.],.]]],.],.]=>[2,4,5,6,3,1,7,8]=>[2,4,5,3,1,6,7,8]=>[5,1,4,2,3,6,7,8]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[2,3,6,5,4,1,7,8]=>[2,3,6,5,4,1,7,8]=>[6,1,2,5,4,3,7,8]
[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>[2,3,5,6,4,1,7,8]=>[2,3,5,4,1,6,7,8]=>[5,1,2,4,3,6,7,8]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[4,3,2,6,5,1,7,8]=>[4,6,7,3,2,8,5,1]=>[8,5,4,1,7,2,3,6]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.]=>[2,4,3,6,5,1,7,8]=>[2,4,6,3,1,7,5,8]=>[5,1,4,2,7,3,6,8]
[[[.,[[[[.,.],.],.],[.,.]]],.],.]=>[2,3,4,6,5,1,7,8]=>[2,3,6,4,1,5,7,8]=>[5,1,2,4,6,3,7,8]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[5,6,7,4,8,3,2,1]=>[8,7,6,4,1,2,3,5]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[4,5,6,3,7,2,1,8]=>[7,6,4,1,2,3,5,8]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.]=>[3,5,4,2,6,1,7,8]=>[3,5,6,4,7,2,1,8]=>[7,6,1,4,2,3,5,8]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.]=>[4,3,5,2,6,1,7,8]=>[4,5,6,3,7,2,8,1]=>[8,6,4,1,2,3,5,7]
[[[.,[[.,[[[.,.],.],.]],.]],.],.]=>[3,4,5,2,6,1,7,8]=>[3,4,5,2,6,1,7,8]=>[6,4,1,2,3,5,7,8]
[[[.,[[[[.,.],.],[.,.]],.]],.],.]=>[2,3,5,4,6,1,7,8]=>[2,3,5,4,6,1,7,8]=>[6,1,2,4,3,5,7,8]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.]=>[4,3,2,5,6,1,7,8]=>[4,5,6,3,7,8,2,1]=>[8,7,4,1,2,3,5,6]
[[[.,[[[.,[[.,.],.]],.],.]],.],.]=>[3,4,2,5,6,1,7,8]=>[3,4,5,2,6,7,1,8]=>[7,4,1,2,3,5,6,8]
[[[.,[[[[.,[.,.]],.],.],.]],.],.]=>[3,2,4,5,6,1,7,8]=>[3,4,5,2,6,7,8,1]=>[8,4,1,2,3,5,6,7]
[[[.,[[[[[.,.],.],.],.],.]],.],.]=>[2,3,4,5,6,1,7,8]=>[2,3,4,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[1,6,5,4,3,2,7,8]=>[1,6,7,5,4,3,2,8]=>[1,7,6,5,4,2,3,8]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[1,5,6,4,3,2,7,8]=>[1,5,6,4,3,2,7,8]=>[1,6,5,4,2,3,7,8]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>[1,4,6,5,3,2,7,8]=>[1,4,6,5,3,2,7,8]=>[1,6,5,2,4,3,7,8]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[1,5,4,6,3,2,7,8]=>[1,5,6,4,3,7,2,8]=>[1,7,5,4,2,3,6,8]
[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>[1,4,5,6,3,2,7,8]=>[1,4,5,3,2,6,7,8]=>[1,5,4,2,3,6,7,8]
[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[1,3,5,6,4,2,7,8]=>[1,3,5,4,2,6,7,8]=>[1,5,2,4,3,6,7,8]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[1,4,3,6,5,2,7,8]=>[1,4,6,3,2,7,5,8]=>[1,5,4,2,7,3,6,8]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[1,5,4,3,6,2,7,8]=>[1,5,6,4,7,3,2,8]=>[1,7,6,4,2,3,5,8]
[[[[.,.],[[.,[[.,.],.]],.]],.],.]=>[1,4,5,3,6,2,7,8]=>[1,4,5,3,6,2,7,8]=>[1,6,4,2,3,5,7,8]
[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>[1,3,5,4,6,2,7,8]=>[1,3,5,4,6,2,7,8]=>[1,6,2,4,3,5,7,8]
[[[[.,.],[[[.,[.,.]],.],.]],.],.]=>[1,4,3,5,6,2,7,8]=>[1,4,5,3,6,7,2,8]=>[1,7,4,2,3,5,6,8]
[[[[.,.],[[[[.,.],.],.],.]],.],.]=>[1,3,4,5,6,2,7,8]=>[1,3,4,2,5,6,7,8]=>[1,4,2,3,5,6,7,8]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[2,1,5,6,4,3,7,8]=>[2,5,6,4,1,7,8,3]=>[5,1,8,4,2,3,6,7]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[2,1,4,6,5,3,7,8]=>[2,4,6,5,1,7,8,3]=>[5,1,8,2,4,3,6,7]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[1,2,6,5,4,3,7,8]=>[1,2,6,5,4,3,7,8]=>[1,2,6,5,4,3,7,8]
[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>[1,2,5,6,4,3,7,8]=>[1,2,5,4,3,6,7,8]=>[1,2,5,4,3,6,7,8]
[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[1,2,4,6,5,3,7,8]=>[1,2,6,4,3,5,7,8]=>[1,2,5,4,6,3,7,8]
[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[1,2,4,5,6,3,7,8]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>[3,2,1,6,5,4,7,8]=>[3,6,7,2,1,8,5,4]=>[5,4,1,8,7,2,3,6]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[3,2,1,5,6,4,7,8]=>[3,5,6,2,7,8,4,1]=>[8,4,1,7,2,3,5,6]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>[2,3,1,6,5,4,7,8]=>[2,3,6,5,1,7,4,8]=>[5,1,2,7,4,3,6,8]
[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[2,3,1,5,6,4,7,8]=>[2,3,5,1,6,7,4,8]=>[4,1,2,7,3,5,6,8]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>[1,3,2,6,5,4,7,8]=>[1,3,6,5,2,7,4,8]=>[1,5,2,7,4,3,6,8]
[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[1,3,2,5,6,4,7,8]=>[1,3,5,2,6,7,4,8]=>[1,4,2,7,3,5,6,8]
[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[1,2,3,6,5,4,7,8]=>[1,2,6,5,3,4,7,8]=>[1,2,5,6,4,3,7,8]
[[[[[[.,.],.],.],[[.,.],.]],.],.]=>[1,2,3,5,6,4,7,8]=>[1,2,5,3,4,6,7,8]=>[1,2,4,5,3,6,7,8]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[4,3,2,1,6,5,7,8]=>[4,6,7,3,8,5,2,1]=>[8,7,4,1,6,2,3,5]
[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>[2,4,3,1,6,5,7,8]=>[2,4,6,3,7,5,1,8]=>[7,1,4,2,6,3,5,8]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[3,2,4,1,6,5,7,8]=>[3,4,6,2,7,5,8,1]=>[8,4,1,2,6,3,5,7]
[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[2,3,4,1,6,5,7,8]=>[2,3,4,1,6,5,7,8]=>[4,1,2,3,6,5,7,8]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[2,1,4,3,6,5,7,8]=>[2,4,6,1,7,3,8,5]=>[4,1,6,2,8,3,5,7]
[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]
[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[1,3,2,4,6,5,7,8]=>[1,3,4,2,6,7,5,8]=>[1,4,2,3,7,5,6,8]
[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[2,1,3,4,6,5,7,8]=>[2,3,4,1,6,7,8,5]=>[4,1,2,3,8,5,6,7]
[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[1,2,3,4,6,5,7,8]=>[1,2,6,3,4,5,7,8]=>[1,2,4,5,6,3,7,8]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[5,6,7,8,4,3,2,1]=>[8,7,6,5,1,2,3,4]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[4,5,6,7,3,2,1,8]=>[7,6,5,1,2,3,4,8]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[3,5,4,2,1,6,7,8]=>[3,5,6,7,4,2,1,8]=>[7,6,1,5,2,3,4,8]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[4,5,6,7,3,2,8,1]=>[8,6,5,1,2,3,4,7]
[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[3,4,5,6,2,1,7,8]=>[6,5,1,2,3,4,7,8]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[2,5,4,3,1,6,7,8]=>[2,5,6,7,4,3,1,8]=>[7,1,6,5,2,3,4,8]
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[2,4,5,3,1,6,7,8]=>[2,4,5,6,3,1,7,8]=>[6,1,5,2,3,4,7,8]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[3,2,5,4,1,6,7,8]=>[3,5,6,7,2,1,8,4]=>[6,5,1,8,2,3,4,7]
[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[2,3,5,4,1,6,7,8]=>[2,3,5,6,4,1,7,8]=>[6,1,2,5,3,4,7,8]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[4,5,6,7,3,8,2,1]=>[8,7,5,1,2,3,4,6]
[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[3,4,5,6,2,7,1,8]=>[7,5,1,2,3,4,6,8]
[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[2,4,3,5,1,6,7,8]=>[2,4,5,6,3,7,1,8]=>[7,1,5,2,3,4,6,8]
[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[3,4,5,6,2,7,8,1]=>[8,5,1,2,3,4,6,7]
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>[5,1,2,3,4,6,7,8]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[1,5,4,3,2,6,7,8]=>[1,5,6,7,4,3,2,8]=>[1,7,6,5,2,3,4,8]
[[[[[.,.],[.,[[.,.],.]]],.],.],.]=>[1,4,5,3,2,6,7,8]=>[1,4,5,6,3,2,7,8]=>[1,6,5,2,3,4,7,8]
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[1,3,5,4,2,6,7,8]=>[1,3,5,6,4,2,7,8]=>[1,6,2,5,3,4,7,8]
[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>[1,4,3,5,2,6,7,8]=>[1,4,5,6,3,7,2,8]=>[1,7,5,2,3,4,6,8]
[[[[[.,.],[[[.,.],.],.]],.],.],.]=>[1,3,4,5,2,6,7,8]=>[1,3,4,5,2,6,7,8]=>[1,5,2,3,4,6,7,8]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[2,1,5,4,3,6,7,8]=>[2,5,6,7,4,1,8,3]=>[6,1,8,5,2,3,4,7]
[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>[2,1,4,5,3,6,7,8]=>[2,4,5,6,1,7,8,3]=>[5,1,8,2,3,4,6,7]
[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[1,2,5,4,3,6,7,8]=>[1,2,5,6,4,3,7,8]=>[1,2,6,5,3,4,7,8]
[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[1,2,4,5,3,6,7,8]=>[1,2,4,5,3,6,7,8]=>[1,2,5,3,4,6,7,8]
[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[2,3,1,5,4,6,7,8]=>[2,3,5,6,1,7,4,8]=>[5,1,2,7,3,4,6,8]
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[1,3,2,5,4,6,7,8]=>[1,3,5,6,2,7,4,8]=>[1,5,2,7,3,4,6,8]
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[4,5,6,7,8,3,2,1]=>[8,7,6,1,2,3,4,5]
[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[3,4,5,6,7,2,1,8]=>[7,6,1,2,3,4,5,8]
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[2,4,3,1,5,6,7,8]=>[2,4,5,6,7,3,1,8]=>[7,1,6,2,3,4,5,8]
[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[3,4,5,6,7,2,8,1]=>[8,6,1,2,3,4,5,7]
[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[2,3,4,5,6,1,7,8]=>[6,1,2,3,4,5,7,8]
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[1,4,3,2,5,6,7,8]=>[1,4,5,6,7,3,2,8]=>[1,7,6,2,3,4,5,8]
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[1,3,4,2,5,6,7,8]=>[1,3,4,5,6,2,7,8]=>[1,6,2,3,4,5,7,8]
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[2,1,4,3,5,6,7,8]=>[2,4,5,6,7,1,8,3]=>[6,1,8,2,3,4,5,7]
[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[1,2,4,3,5,6,7,8]=>[1,2,4,5,6,3,7,8]=>[1,2,6,3,4,5,7,8]
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[3,4,5,6,7,8,2,1]=>[8,7,1,2,3,4,5,6]
[[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[2,3,4,5,6,7,1,8]=>[7,1,2,3,4,5,6,8]
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[1,3,2,4,5,6,7,8]=>[1,3,4,5,6,7,2,8]=>[1,7,2,3,4,5,6,8]
[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]
[[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[8,9,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>[7,8,9,6,5,4,3,2,1]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]=>[4,5,6,7,8,9,3,2,1]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,2,1]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,1]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>[9,10,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]=>[7,9,8,6,5,4,3,2,1]=>[9,7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,9,1]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]=>[6,7,8,9,10,5,4,3,2,1]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]]=>[3,5,6,7,8,9,4,2,1]=>[5,3,2,1,4,6,7,8,9]=>[4,3,2,5,1,6,7,8,9]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]]=>[4,5,6,7,8,9,10,3,2,1]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>[2,4,5,6,7,8,9,3,1]=>[4,2,1,3,5,6,7,8,9]=>[3,2,4,1,5,6,7,8,9]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,10,2,1]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,9,2]=>[3,1,2,4,5,6,7,8,9]=>[2,3,1,4,5,6,7,8,9]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,1]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[8,7,9,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,1,8]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]=>[8,7,6,9,5,4,3,2,1]=>[8,7,6,5,4,3,9,2,1]=>[9,8,6,5,4,3,2,1,7]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]=>[8,7,6,5,9,4,3,2,1]=>[8,7,6,5,4,9,3,2,1]=>[9,8,7,5,4,3,2,1,6]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]=>[8,7,6,5,4,9,3,2,1]=>[8,7,6,5,9,4,3,2,1]=>[9,8,7,6,4,3,2,1,5]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]=>[8,7,6,5,4,3,9,2,1]=>[8,7,6,9,5,4,3,2,1]=>[9,8,7,6,5,3,2,1,4]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[8,7,6,5,4,3,2,9,1]=>[8,7,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,2,1,3]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[8,7,6,5,4,3,2,1,9]=>[8,9,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,1,2]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>[9,8,10,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,1,9]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]=>[6,8,7,9,5,4,3,2,1]=>[8,6,5,4,3,2,7,1,9]=>[8,6,5,4,3,2,7,1,9]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]=>[9,8,7,10,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,10,2,1]=>[10,9,7,6,5,4,3,2,1,8]
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]=>[5,8,7,6,9,4,3,2,1]=>[8,7,5,4,3,6,2,1,9]=>[8,7,5,4,3,6,2,1,9]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]=>[9,8,7,6,10,5,4,3,2,1]=>[9,8,7,6,5,4,10,3,2,1]=>[10,9,8,6,5,4,3,2,1,7]
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]=>[4,8,7,6,5,9,3,2,1]=>[8,7,6,4,5,3,2,1,9]=>[8,7,6,4,5,3,2,1,9]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]=>[9,8,7,6,5,10,4,3,2,1]=>[9,8,7,6,5,10,4,3,2,1]=>[10,9,8,7,5,4,3,2,1,6]
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]=>[3,8,7,6,5,4,9,2,1]=>[8,7,3,6,5,4,2,1,9]=>[8,7,3,6,5,4,2,1,9]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]=>[9,8,7,6,5,4,10,3,2,1]=>[9,8,7,6,10,5,4,3,2,1]=>[10,9,8,7,6,4,3,2,1,5]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]=>[9,8,7,6,5,4,3,10,2,1]=>[9,8,7,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,3,2,1,4]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[1,8,7,6,5,4,3,2,9]=>[1,8,7,6,5,4,3,2,9]=>[1,8,7,6,5,4,3,2,9]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[9,8,7,6,5,4,3,2,10,1]=>[9,8,10,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,2,1,3]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]=>[9,8,7,6,5,4,3,2,1,10]=>[9,10,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,1,2]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>[1,3,5,7,9,10,8,6,4,2]=>[9,7,5,3,1,2,4,6,8,10]=>[5,6,4,7,3,8,2,9,1,10]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]=>[5,6,4,7,3,8,2,9,1,10]=>[5,6,4,7,3,8,2,9,1,10]=>[9,7,5,3,1,2,4,6,8,10]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,10,9,1]=>[4,2,1,6,3,8,5,10,7,9]=>[3,2,5,1,7,4,9,6,10,8]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,9,8]=>[9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,9,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,8,10,9]=>[10,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,10,1]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,9,1]=>[9,2,1,3,4,5,6,7,8]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,8,9,11,10]=>[11,1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,11,1]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>[1,3,2,4,5,6,7,9,8]=>[3,1,2,4,5,6,9,7,8]=>[2,3,1,4,5,6,8,9,7]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>[2,3,1,4,5,6,7,9,8]=>[2,1,3,4,5,6,9,7,8]=>[2,1,3,4,5,6,8,9,7]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]]=>[2,4,3,5,6,7,8,9,1]=>[4,2,3,5,6,7,8,1,9]=>[8,2,3,1,4,5,6,7,9]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>[3,4,2,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,1,9]=>[8,2,1,3,4,5,6,7,9]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,10,1]=>[3,2,4,5,6,7,8,9,10,1]=>[10,2,1,3,4,5,6,7,8,9]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,11,1]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,6,8,9,7]=>[8,1,2,3,4,5,6,7,9]=>[2,3,4,5,6,7,8,1,9]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,5,7,8,9,6]=>[7,1,2,3,4,5,6,8,9]=>[2,3,4,5,6,7,1,8,9]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,4,6,7,8,9,5]=>[6,1,2,3,4,5,7,8,9]=>[2,3,4,5,6,1,7,8,9]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>[1,2,3,5,6,7,8,9,4]=>[5,1,2,3,4,6,7,8,9]=>[2,3,4,5,1,6,7,8,9]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>[1,2,4,5,6,7,8,9,3]=>[4,1,2,3,5,6,7,8,9]=>[2,3,4,1,5,6,7,8,9]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,6,9,8,7]=>[9,8,1,2,3,4,5,6,7]=>[3,4,5,6,7,8,9,2,1]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,6,7,9,10,8]=>[9,1,2,3,4,5,6,7,8,10]=>[2,3,4,5,6,7,8,9,1,10]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,5,8,7,9,6]=>[8,1,7,2,3,4,5,6,9]=>[2,4,5,6,7,8,3,1,9]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,5,6,8,9,10,7]=>[8,1,2,3,4,5,6,7,9,10]=>[2,3,4,5,6,7,8,1,9,10]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,4,7,6,8,9,5]=>[7,1,2,6,3,4,5,8,9]=>[2,3,5,6,7,4,1,8,9]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,4,5,7,8,9,10,6]=>[7,1,2,3,4,5,6,8,9,10]=>[2,3,4,5,6,7,1,8,9,10]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]]=>[1,2,3,6,5,7,8,9,4]=>[6,1,2,3,5,4,7,8,9]=>[2,3,4,6,5,1,7,8,9]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[1,2,3,4,6,7,8,9,10,5]=>[6,1,2,3,4,5,7,8,9,10]=>[2,3,4,5,6,1,7,8,9,10]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]]=>[1,2,5,4,6,7,8,9,3]=>[5,1,2,4,6,7,3,8,9]=>[2,3,7,4,1,5,6,8,9]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>[1,2,3,5,6,7,8,9,10,4]=>[5,1,2,3,4,6,7,8,9,10]=>[2,3,4,5,1,6,7,8,9,10]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]=>[1,4,3,5,6,7,8,9,2]=>[4,1,3,5,6,7,8,2,9]=>[2,8,3,1,4,5,6,7,9]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>[1,2,4,5,6,7,8,9,10,3]=>[4,1,2,3,5,6,7,8,9,10]=>[2,3,4,1,5,6,7,8,9,10]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,9,10,2]=>[3,1,2,4,5,6,7,8,9,10]=>[2,3,1,4,5,6,7,8,9,10]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[1,9,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,1,2]=>[8,9,7,6,5,4,3,2,1]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]=>[7,8,6,5,4,3,2,1,9]=>[7,8,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,1,2,9]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[1,8,9,7,6,5,4,3,2]=>[8,7,6,5,4,3,1,2,9]=>[7,8,6,5,4,3,2,1,9]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[1,10,9,8,7,6,5,4,3,2]=>[10,9,8,7,6,5,4,3,1,2]=>[9,10,8,7,6,5,4,3,2,1]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,11,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,1,2]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]=>[8,9,7,6,5,4,3,2,1,10]=>[8,9,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,1,2,10]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]=>[7,6,8,5,4,3,2,1,9]=>[7,8,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,1,2,8]
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[1,8,7,9,6,5,4,3,2]=>[8,7,6,5,4,1,3,2,9]=>[6,8,7,5,4,3,2,1,9]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[1,9,10,8,7,6,5,4,3,2]=>[9,8,7,6,5,4,3,1,2,10]=>[8,9,7,6,5,4,3,2,1,10]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[1,11,10,9,8,7,6,5,4,3,2]=>[11,10,9,8,7,6,5,4,3,1,2]=>[10,11,9,8,7,6,5,4,3,2,1]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]=>[6,5,7,4,8,3,9,2,10,1]=>[6,5,7,4,8,3,9,2,10,1]=>[10,8,6,4,2,1,3,5,7,9]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]=>[4,3,5,2,7,6,9,8,10,1]=>[4,3,5,2,7,6,9,8,10,1]=>[10,4,2,1,3,6,5,8,7,9]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]]=>[3,2,4,1,7,6,9,8,10,5]=>[3,2,4,1,7,6,9,8,10,5]=>[4,2,1,3,10,6,5,8,7,9]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]]=>[3,2,4,1,6,5,9,8,10,7]=>[3,2,4,1,6,5,9,8,10,7]=>[4,2,1,3,6,5,10,8,7,9]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]]=>[4,3,6,5,7,2,8,1,10,9]=>[4,3,6,5,7,2,8,1,10,9]=>[8,6,2,1,4,3,5,7,10,9]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]]=>[3,2,6,5,7,4,8,1,10,9]=>[3,2,6,5,7,4,8,1,10,9]=>[8,2,1,6,4,3,5,7,10,9]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]]=>[2,1,6,5,7,4,8,3,10,9]=>[2,1,6,5,7,4,8,3,10,9]=>[2,1,8,6,4,3,5,7,10,9]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>[12,10,8,6,4,2,1,3,5,7,9,11]
[.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,9,8,10,7,11,2,12,1]=>[5,4,6,3,9,2,10,1,11,8,12,7]=>[8,6,4,2,1,3,12,10,5,7,9,11]
[.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]]=>[6,5,7,4,8,3,10,9,11,2,12,1]=>[6,5,7,4,8,3,10,9,11,2,12,1]=>[12,10,6,4,2,1,3,5,8,7,9,11]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]]=>[5,4,6,3,7,2,10,9,11,8,12,1]=>[5,4,6,3,7,2,10,9,11,8,12,1]=>[12,6,4,2,1,3,5,10,8,7,9,11]
[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]]=>[5,4,6,3,8,7,9,2,11,10,12,1]=>[5,4,6,3,8,7,9,2,11,10,12,1]=>[12,8,4,2,1,3,6,5,7,10,9,11]
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]]=>[4,3,5,2,7,6,9,8,11,10,12,1]=>[4,3,5,2,7,6,9,8,11,10,12,1]=>[12,4,2,1,3,6,5,8,7,10,9,11]
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[3,2,4,1,7,6,9,8,11,10,12,5]=>[3,2,4,1,7,6,9,8,11,10,12,5]=>[4,2,1,3,12,6,5,8,7,10,9,11]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1,10,9,11,8,12,7]=>[4,3,5,2,6,1,10,9,11,8,12,7]=>[6,4,2,1,3,5,12,10,8,7,9,11]
[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]]=>[3,2,4,1,6,5,9,8,11,10,12,7]=>[3,2,4,1,6,5,9,8,11,10,12,7]=>[4,2,1,3,6,5,12,8,7,10,9,11]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5,11,10,12,9]=>[3,2,4,1,7,6,8,5,11,10,12,9]=>[4,2,1,3,8,6,5,7,12,10,9,11]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]]=>[3,2,4,1,6,5,8,7,11,10,12,9]=>[3,2,4,1,6,5,8,7,11,10,12,9]=>[4,2,1,3,6,5,8,7,12,10,9,11]
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]]=>[5,4,7,6,8,3,9,2,10,1,12,11]=>[5,4,7,6,8,3,9,2,10,1,12,11]=>[10,8,6,2,1,4,3,5,7,9,12,11]
[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]]=>[4,3,7,6,8,5,9,2,10,1,12,11]=>[4,3,7,6,8,5,9,2,10,1,12,11]=>[10,8,2,1,6,4,3,5,7,9,12,11]
[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]]=>[3,2,7,6,8,5,9,4,10,1,12,11]=>[3,2,7,6,8,5,9,4,10,1,12,11]=>[10,2,1,8,6,4,3,5,7,9,12,11]
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]]=>[4,3,6,5,7,2,9,8,10,1,12,11]=>[4,3,6,5,7,2,9,8,10,1,12,11]=>[10,6,2,1,4,3,5,8,7,9,12,11]
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]]=>[3,2,6,5,7,4,9,8,10,1,12,11]=>[3,2,6,5,7,4,9,8,10,1,12,11]=>[10,2,1,6,4,3,5,8,7,9,12,11]
[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]=>[2,1,7,6,8,5,9,4,10,3,12,11]=>[2,1,7,6,8,5,9,4,10,3,12,11]=>[2,1,10,8,6,4,3,5,7,9,12,11]
[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]=>[2,1,6,5,7,4,9,8,10,3,12,11]=>[2,1,6,5,7,4,9,8,10,3,12,11]=>[2,1,10,6,4,3,5,8,7,9,12,11]
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]]=>[3,2,5,4,6,1,9,8,10,7,12,11]=>[3,2,5,4,6,1,9,8,10,7,12,11]=>[6,2,1,4,3,5,10,8,7,9,12,11]
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]=>[2,1,5,4,6,3,9,8,10,7,12,11]=>[2,1,5,4,6,3,9,8,10,7,12,11]=>[2,1,6,4,3,5,10,8,7,9,12,11]
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]]=>[3,2,5,4,7,6,8,1,10,9,12,11]=>[3,2,5,4,7,6,8,1,10,9,12,11]=>[8,2,1,4,3,6,5,7,10,9,12,11]
[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]]=>[2,1,5,4,7,6,8,3,10,9,12,11]=>[2,1,5,4,7,6,8,3,10,9,12,11]=>[2,1,8,4,3,6,5,7,10,9,12,11]
[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]]=>[2,1,4,3,7,6,8,5,10,9,12,11]=>[2,1,4,3,7,6,8,5,10,9,12,11]=>[2,1,4,3,8,6,5,7,10,9,12,11]
[[.,.],[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,10,9,2]=>[4,3,1,6,2,8,5,10,7,9]=>[3,5,2,1,7,4,9,6,10,8]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[2,1,9,8,7,6,5,4,3]=>[9,8,7,6,5,2,1,4,3]=>[7,6,9,8,5,4,3,2,1]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>[3,2,1,9,8,7,6,5,4]=>[9,8,7,3,2,1,6,5,4]=>[6,5,4,9,8,7,3,2,1]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>[4,3,2,1,9,8,7,6,5]=>[9,4,3,2,1,8,7,6,5]=>[5,4,3,2,9,8,7,6,1]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>[5,4,3,2,1,9,8,7,6]=>[5,4,3,2,9,8,7,6,1]=>[9,4,3,2,1,8,7,6,5]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[7,6,5,4,3,2,1,9,8]=>[7,6,9,8,5,4,3,2,1]=>[9,8,7,6,5,2,1,4,3]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,2,9,8,7,6,5,4,3]=>[9,8,7,6,5,4,1,2,3]=>[7,8,9,6,5,4,3,2,1]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[2,1,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,2,1,4,3]=>[8,7,10,9,6,5,4,3,2,1]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[3,2,1,10,9,8,7,6,5,4]=>[10,9,8,7,3,2,1,6,5,4]=>[7,6,5,10,9,8,4,3,2,1]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>[4,3,2,1,10,9,8,7,6,5]=>[10,9,4,3,2,1,8,7,6,5]=>[6,5,4,3,10,9,8,7,2,1]
[[.,[.,[.,[[.,.],.]]]],[.,[.,[.,.]]]]=>[4,5,3,2,1,9,8,7,6]=>[4,3,2,1,9,8,7,5,6]=>[4,3,2,1,8,9,7,6,5]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1,10,9,8,7,6]=>[5,4,3,2,1,10,9,8,7,6]=>[5,4,3,2,1,10,9,8,7,6]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,10,9,8,7,2,1]=>[10,9,4,3,2,1,8,7,6,5]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]]=>[6,7,5,4,3,2,1,9,8]=>[6,5,9,7,4,3,2,1,8]=>[8,7,6,5,2,1,4,9,3]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,10,9,6,5,4,3,2,1]=>[10,9,8,7,6,5,2,1,4,3]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[7,6,5,4,3,2,1,8,9]=>[7,8,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,1,2,3]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>[6,5,4,3,2,1,7,8,9]=>[6,7,8,9,5,4,3,2,1]=>[9,8,7,6,5,1,2,3,4]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>[5,4,3,2,1,6,7,8,9]=>[5,6,7,8,9,4,3,2,1]=>[9,8,7,6,1,2,3,4,5]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9]=>[4,5,6,7,8,9,3,2,1]=>[9,8,7,1,2,3,4,5,6]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9]=>[3,4,5,6,7,8,9,2,1]=>[9,8,1,2,3,4,5,6,7]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,1]=>[9,1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]=>[8,7,6,5,4,3,2,1,9,10]=>[8,9,10,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,1,2,3]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]=>[7,6,5,4,3,2,1,8,9,10]=>[7,8,9,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,1,2,3,4]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]=>[6,5,4,3,2,1,7,8,9,10]=>[6,7,8,9,10,5,4,3,2,1]=>[10,9,8,7,6,1,2,3,4,5]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]=>[5,4,3,2,1,6,7,8,9,10]=>[5,6,7,8,9,10,4,3,2,1]=>[10,9,8,7,1,2,3,4,5,6]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9,10]=>[4,5,6,7,8,9,10,3,2,1]=>[10,9,8,1,2,3,4,5,6,7]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9,10]=>[3,4,5,6,7,8,9,10,2,1]=>[10,9,1,2,3,4,5,6,7,8]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]=>[1,3,2,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,2,9]=>[1,8,2,3,4,5,6,7,9]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,1]=>[10,1,2,3,4,5,6,7,8,9]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]=>[4,9,8,7,6,5,3,2,1]=>[9,8,7,6,4,3,2,1,5]=>[8,7,6,5,9,4,3,2,1]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>[3,9,8,7,6,5,4,2,1]=>[9,8,7,6,5,3,2,1,4]=>[8,7,6,9,5,4,3,2,1]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[2,9,8,7,6,5,4,3,1]=>[9,8,7,6,5,4,2,1,3]=>[8,7,9,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>[6,10,9,8,7,5,4,3,2,1]=>[10,9,8,6,5,4,3,2,1,7]=>[9,8,7,6,5,4,10,3,2,1]
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7,10,9]=>[4,2,6,3,8,5,10,7,1,9]=>[9,2,4,1,6,3,8,5,10,7]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,7,9,8,1]=>[9,2,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,9,1]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,1,2,3,4,5,6,7,8,9,10]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]=>[2,1,3,4,5,6,8,7,9]=>[2,3,1,4,5,6,8,9,7]=>[3,1,2,4,5,6,9,7,8]
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]]=>[2,1,3,4,5,6,8,9,7]=>[2,1,3,4,5,6,8,9,7]=>[2,1,3,4,5,6,9,7,8]
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]=>[2,3,4,5,6,8,9,7,1]=>[8,2,1,3,4,5,6,7,9]=>[3,2,4,5,6,7,8,1,9]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,7,8,10,9,1]=>[10,2,1,3,4,5,6,7,8,9]=>[3,2,4,5,6,7,8,9,10,1]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.]=>[2,1,4,3,5,6,7,8,9]=>[2,4,5,6,7,8,1,9,3]=>[7,1,9,2,3,4,5,6,8]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]]=>[3,4,5,6,7,8,2,9,1]=>[3,2,4,1,5,6,7,8,9]=>[4,2,1,3,5,6,7,8,9]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,1,9]=>[2,3,1,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,1,9]=>[8,1,2,3,4,5,6,7,9]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.]=>[2,3,4,5,6,7,1,8,9]=>[2,3,4,1,5,6,7,8,9]=>[4,1,2,3,5,6,7,8,9]
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,1,10]=>[9,1,2,3,4,5,6,7,8,10]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.]=>[2,4,3,1,5,6,7,8,9]=>[2,4,5,6,7,8,3,1,9]=>[8,1,7,2,3,4,5,6,9]
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.]=>[2,3,4,6,5,1,7,8,9]=>[2,3,4,6,5,1,7,8,9]=>[6,1,2,3,5,4,7,8,9]
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]=>[2,3,4,5,6,8,7,1,9]=>[2,8,3,1,4,5,6,7,9]=>[4,1,3,5,6,7,8,2,9]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,9,1,10]=>[2,3,1,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.]=>[1,2,4,3,5,6,7,8,9]=>[1,2,4,5,6,7,3,8,9]=>[1,2,7,3,4,5,6,8,9]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]=>[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,6,4,7,8,9]=>[1,2,3,6,4,5,7,8,9]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.]=>[1,2,3,4,6,5,7,8,9]=>[1,2,3,6,4,5,7,8,9]=>[1,2,3,5,6,4,7,8,9]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>[1,2,3,4,5,7,6,8,9]=>[1,2,7,3,4,5,6,8,9]=>[1,2,4,5,6,7,3,8,9]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,8,7,9]=>[1,8,2,3,4,5,6,7,9]=>[1,3,4,5,6,7,8,2,9]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,4,5,6,7,8,9,2,10]=>[1,9,2,3,4,5,6,7,8,10]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.]=>[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,5,6,7,8,3,9,10]=>[1,2,8,3,4,5,6,7,9,10]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]=>[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,6,7,4,8,9,10]=>[1,2,3,7,4,5,6,8,9,10]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,7,4,5,6,8,9,10]=>[1,2,3,5,6,7,4,8,9,10]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]=>[1,2,3,4,5,6,8,7,9,10]=>[1,2,8,3,4,5,6,7,9,10]=>[1,2,4,5,6,7,8,3,9,10]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,7,9,8,10]=>[1,9,2,3,4,5,6,7,8,10]=>[1,3,4,5,6,7,8,9,2,10]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>[1,3,4,5,6,7,9,8,2]=>[9,3,1,2,4,5,6,7,8]=>[3,4,2,5,6,7,8,9,1]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>[7,6,5,4,3,2,9,8,1]=>[7,6,5,9,8,4,3,2,1]=>[9,8,7,6,3,2,1,5,4]
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]]=>[4,3,2,5,6,7,8,9,1]=>[4,3,5,6,7,8,9,2,1]=>[9,8,2,1,3,4,5,6,7]
[.,[[[[[.,[.,[.,[.,.]]]],.],.],.],.]]=>[5,4,3,2,6,7,8,9,1]=>[5,4,6,7,8,9,3,2,1]=>[9,8,7,2,1,3,4,5,6]
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]]=>[6,5,4,3,2,7,8,9,1]=>[6,5,7,8,9,4,3,2,1]=>[9,8,7,6,2,1,3,4,5]
[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]]=>[7,6,5,4,3,2,8,9,1]=>[7,6,8,9,5,4,3,2,1]=>[9,8,7,6,5,2,1,3,4]
[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]]=>[4,3,2,5,6,7,8,9,10,1]=>[4,3,5,6,7,8,9,10,2,1]=>[10,9,2,1,3,4,5,6,7,8]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[1,7,6,5,4,3,2,9,8]=>[7,1,9,6,5,4,3,2,8]=>[2,8,7,6,5,4,1,9,3]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[1,2,10,9,8,7,6,5,4,3]=>[10,9,8,7,6,5,4,1,2,3]=>[8,9,10,7,6,5,4,3,2,1]
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>[2,1,8,7,6,5,4,3,9]=>[2,8,7,6,5,4,1,9,3]=>[7,1,9,6,5,4,3,2,8]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[1,9,8,7,6,5,4,3,2,10]=>[1,9,8,7,6,5,4,3,2,10]=>[1,9,8,7,6,5,4,3,2,10]
[.,[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]]=>[2,8,7,9,6,5,4,3,1]=>[8,7,6,5,4,2,3,1,9]=>[8,6,7,5,4,3,2,1,9]
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.]=>[1,3,4,5,2,6,7,8,9]=>[1,3,4,5,6,2,7,8,9]=>[1,6,2,3,4,5,7,8,9]
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.]=>[1,2,4,5,3,6,7,8,9]=>[1,2,4,5,6,3,7,8,9]=>[1,2,6,3,4,5,7,8,9]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>[2,1,4,5,6,7,8,9,3]=>[2,1,4,5,6,7,8,9,3]=>[2,1,9,3,4,5,6,7,8]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.]=>[1,3,4,5,6,7,8,2,9]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,6,7,10,9,8]=>[10,9,1,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,10,2,1]
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]=>[6,7,8,5,4,3,2,1,9]=>[6,7,5,4,3,2,1,8,9]=>[7,6,5,4,3,1,2,8,9]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,5,9,8,7,6]=>[9,8,7,1,2,3,4,5,6]=>[4,5,6,7,8,9,3,2,1]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,4,9,8,7,6,5]=>[9,8,7,6,1,2,3,4,5]=>[5,6,7,8,9,4,3,2,1]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,3,9,8,7,6,5,4]=>[9,8,7,6,5,1,2,3,4]=>[6,7,8,9,5,4,3,2,1]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,5,7,6,9,8]=>[7,1,9,2,3,4,5,6,8]=>[2,4,5,6,7,8,1,9,3]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,5,6,10,9,8,7]=>[10,9,8,1,2,3,4,5,6,7]=>[4,5,6,7,8,9,10,3,2,1]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,4,5,10,9,8,7,6]=>[10,9,8,7,1,2,3,4,5,6]=>[5,6,7,8,9,10,4,3,2,1]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,3,4,10,9,8,7,6,5]=>[10,9,8,7,6,1,2,3,4,5]=>[6,7,8,9,10,5,4,3,2,1]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,2,3,10,9,8,7,6,5,4]=>[10,9,8,7,6,5,1,2,3,4]=>[7,8,9,10,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]=>[10,9,11,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,11,1]=>[11,9,8,7,6,5,4,3,2,1,10]
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[1,9,8,10,7,6,5,4,3,2]=>[9,8,7,6,5,4,1,3,2,10]=>[7,9,8,6,5,4,3,2,1,10]
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]=>[2,8,9,7,6,5,4,3,1]=>[8,7,6,5,4,2,1,3,9]=>[7,6,8,5,4,3,2,1,9]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]=>[10,11,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]=>[7,8,6,5,4,3,2,9,1]=>[7,6,8,5,4,3,2,1,9]=>[8,7,6,5,4,2,1,3,9]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.]=>[3,4,2,1,5,6,7,8,9]=>[3,4,5,6,7,8,2,1,9]=>[8,7,1,2,3,4,5,6,9]
[[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9,10,11]=>[2,3,4,5,6,7,8,9,10,1,11]=>[10,1,2,3,4,5,6,7,8,9,11]
[[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.],.]=>[3,4,2,1,5,6,7,8,9,10]=>[3,4,5,6,7,8,9,2,1,10]=>[9,8,1,2,3,4,5,6,7,10]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.]=>[7,6,5,4,3,2,8,1,9]=>[7,8,6,9,5,4,3,2,1]=>[9,8,7,6,5,3,1,2,4]
[[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]],.]=>[6,5,8,7,4,3,2,1,9]=>[6,8,5,4,3,2,1,9,7]=>[7,6,5,4,3,1,9,2,8]
[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.]=>[7,6,5,8,4,3,2,1,9]=>[7,8,6,5,4,3,9,2,1]=>[9,8,6,5,4,3,1,2,7]
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.]=>[2,3,1,5,4,6,7,8,9]=>[2,3,5,6,7,1,8,4,9]=>[6,1,2,8,3,4,5,7,9]
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.]=>[4,5,3,2,1,6,7,8,9]=>[4,5,6,7,8,3,2,1,9]=>[8,7,6,1,2,3,4,5,9]
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.]=>[3,2,4,5,6,7,8,1,9]=>[3,4,2,5,6,7,8,9,1]=>[9,3,1,2,4,5,6,7,8]
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,3,9,8,7,6,5,4,1]=>[9,8,7,6,5,2,1,3,4]=>[7,6,8,9,5,4,3,2,1]
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]=>[2,8,7,6,5,4,3,1,9]=>[2,8,7,6,5,4,3,1,9]=>[8,1,7,6,5,4,3,2,9]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,7,1,9,8]=>[2,1,9,3,4,5,6,7,8]=>[2,1,4,5,6,7,8,9,3]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.]=>[1,3,4,2,5,6,7,8,9]=>[1,3,4,5,6,7,2,8,9]=>[1,7,2,3,4,5,6,8,9]
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.]=>[8,7,6,5,4,3,2,9,1,10]=>[8,9,7,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,3,1,2,4]
[[.,.],[[.,[[[[[.,.],.],.],.],.]],.]]=>[1,4,5,6,7,8,3,9,2]=>[4,1,3,2,5,6,7,8,9]=>[2,4,3,1,5,6,7,8,9]
[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]]=>[2,1,3,5,6,7,8,9,4]=>[2,1,3,5,6,7,8,9,4]=>[2,1,3,9,4,5,6,7,8]
[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.]=>[5,6,4,3,2,1,7,8,9]=>[5,6,7,8,4,3,2,1,9]=>[8,7,6,5,1,2,3,4,9]
[[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.],.]=>[5,6,4,3,2,1,7,8,9,10]=>[5,6,7,8,9,4,3,2,1,10]=>[9,8,7,6,1,2,3,4,5,10]
[[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.],.]=>[6,7,5,4,3,2,1,8,9,10]=>[6,7,8,9,5,4,3,2,1,10]=>[9,8,7,6,5,1,2,3,4,10]
[[[.,.],.],[[[.,[[[.,.],.],.]],.],.]]=>[1,2,5,6,7,4,8,9,3]=>[5,1,2,4,3,6,7,8,9]=>[2,3,5,4,1,6,7,8,9]
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.]=>[6,7,5,4,3,2,1,8,9]=>[6,7,8,5,4,3,2,1,9]=>[8,7,6,5,4,1,2,3,9]
Map
to 312-avoiding permutation
Description
Return a 312-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 minimal element of this 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 minimal element of this Sylvester class.
Map
cactus evacuation
Description
The cactus evacuation of a permutation.
This is the involution obtained by applying evacuation to the recording tableau, while preserving the insertion tableau.
This is the involution obtained by applying evacuation to the recording tableau, while preserving the insertion tableau.
Map
inverse
Description
Sends a permutation to its inverse.
searching the database
Sorry, this map was not found in the database.