Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00066: Permutations —inverse⟶ Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00066: Permutations —inverse⟶ Permutations
Mp00064: Permutations —reverse⟶ Permutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1]
[.,[.,.]]=>[2,1]=>[2,1]=>[1,2]
[[.,.],.]=>[1,2]=>[1,2]=>[2,1]
[.,[.,[.,.]]]=>[3,2,1]=>[3,2,1]=>[1,2,3]
[.,[[.,.],.]]=>[2,3,1]=>[3,1,2]=>[2,1,3]
[[.,.],[.,.]]=>[1,3,2]=>[1,3,2]=>[2,3,1]
[[.,[.,.]],.]=>[2,1,3]=>[2,1,3]=>[3,1,2]
[[[.,.],.],.]=>[1,2,3]=>[1,2,3]=>[3,2,1]
[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[4,3,1,2]=>[2,1,3,4]
[.,[[.,.],[.,.]]]=>[2,4,3,1]=>[4,1,3,2]=>[2,3,1,4]
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[4,2,1,3]=>[3,1,2,4]
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[4,1,2,3]=>[3,2,1,4]
[[.,.],[.,[.,.]]]=>[1,4,3,2]=>[1,4,3,2]=>[2,3,4,1]
[[.,.],[[.,.],.]]=>[1,3,4,2]=>[1,4,2,3]=>[3,2,4,1]
[[.,[.,.]],[.,.]]=>[2,1,4,3]=>[2,1,4,3]=>[3,4,1,2]
[[[.,.],.],[.,.]]=>[1,2,4,3]=>[1,2,4,3]=>[3,4,2,1]
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1,4]=>[4,1,2,3]
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[3,1,2,4]=>[4,2,1,3]
[[[.,.],[.,.]],.]=>[1,3,2,4]=>[1,3,2,4]=>[4,2,3,1]
[[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,1,3,4]=>[4,3,1,2]
[[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]
[.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]
[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[5,4,3,1,2]=>[2,1,3,4,5]
[.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[5,4,1,3,2]=>[2,3,1,4,5]
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[5,4,2,1,3]=>[3,1,2,4,5]
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[5,4,1,2,3]=>[3,2,1,4,5]
[.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[5,1,4,3,2]=>[2,3,4,1,5]
[.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[5,1,4,2,3]=>[3,2,4,1,5]
[.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[5,2,1,4,3]=>[3,4,1,2,5]
[.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[5,1,2,4,3]=>[3,4,2,1,5]
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[5,3,2,1,4]=>[4,1,2,3,5]
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[5,3,1,2,4]=>[4,2,1,3,5]
[.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[5,1,3,2,4]=>[4,2,3,1,5]
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[5,2,1,3,4]=>[4,3,1,2,5]
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[5,1,2,3,4]=>[4,3,2,1,5]
[[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[2,3,4,5,1]
[[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[1,5,4,2,3]=>[3,2,4,5,1]
[[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[1,5,2,4,3]=>[3,4,2,5,1]
[[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[1,5,3,2,4]=>[4,2,3,5,1]
[[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[1,5,2,3,4]=>[4,3,2,5,1]
[[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[3,4,5,1,2]
[[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[2,1,5,3,4]=>[4,3,5,1,2]
[[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[1,2,5,4,3]=>[3,4,5,2,1]
[[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[1,2,5,3,4]=>[4,3,5,2,1]
[[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[4,5,1,2,3]
[[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[3,1,2,5,4]=>[4,5,2,1,3]
[[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[4,5,2,3,1]
[[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[4,5,3,1,2]
[[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[4,5,3,2,1]
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[5,1,2,3,4]
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[4,3,1,2,5]=>[5,2,1,3,4]
[[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[4,1,3,2,5]=>[5,2,3,1,4]
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[4,2,1,3,5]=>[5,3,1,2,4]
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[4,1,2,3,5]=>[5,3,2,1,4]
[[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]
[[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[1,4,2,3,5]=>[5,3,2,4,1]
[[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[5,3,4,1,2]
[[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[5,3,4,2,1]
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[5,4,1,2,3]
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[3,1,2,4,5]=>[5,4,2,1,3]
[[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[5,4,2,3,1]
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[5,4,3,1,2]
[[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]
[.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]
[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2]=>[2,1,3,4,5,6]
[.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[6,5,4,1,3,2]=>[2,3,1,4,5,6]
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[6,5,4,2,1,3]=>[3,1,2,4,5,6]
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>[3,2,1,4,5,6]
[.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[6,5,1,4,3,2]=>[2,3,4,1,5,6]
[.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[6,5,1,4,2,3]=>[3,2,4,1,5,6]
[.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[6,5,2,1,4,3]=>[3,4,1,2,5,6]
[.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[6,5,1,2,4,3]=>[3,4,2,1,5,6]
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[6,5,3,2,1,4]=>[4,1,2,3,5,6]
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>[4,2,1,3,5,6]
[.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[6,5,1,3,2,4]=>[4,2,3,1,5,6]
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4]=>[4,3,1,2,5,6]
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>[4,3,2,1,5,6]
[.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[6,1,5,4,3,2]=>[2,3,4,5,1,6]
[.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[6,1,5,4,2,3]=>[3,2,4,5,1,6]
[.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[6,1,5,2,4,3]=>[3,4,2,5,1,6]
[.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[6,1,5,3,2,4]=>[4,2,3,5,1,6]
[.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[6,1,5,2,3,4]=>[4,3,2,5,1,6]
[.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[6,2,1,5,4,3]=>[3,4,5,1,2,6]
[.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[6,2,1,5,3,4]=>[4,3,5,1,2,6]
[.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[6,1,2,5,4,3]=>[3,4,5,2,1,6]
[.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[6,1,2,5,3,4]=>[4,3,5,2,1,6]
[.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[6,3,2,1,5,4]=>[4,5,1,2,3,6]
[.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[6,3,1,2,5,4]=>[4,5,2,1,3,6]
[.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[6,1,3,2,5,4]=>[4,5,2,3,1,6]
[.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[6,2,1,3,5,4]=>[4,5,3,1,2,6]
[.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[6,1,2,3,5,4]=>[4,5,3,2,1,6]
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[6,4,3,2,1,5]=>[5,1,2,3,4,6]
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>[5,2,1,3,4,6]
[.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[6,4,1,3,2,5]=>[5,2,3,1,4,6]
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[6,4,2,1,3,5]=>[5,3,1,2,4,6]
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>[5,3,2,1,4,6]
[.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[6,1,4,3,2,5]=>[5,2,3,4,1,6]
[.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[6,1,4,2,3,5]=>[5,3,2,4,1,6]
[.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[6,2,1,4,3,5]=>[5,3,4,1,2,6]
[.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[6,1,2,4,3,5]=>[5,3,4,2,1,6]
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>[5,4,1,2,3,6]
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>[5,4,2,1,3,6]
[.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[6,1,3,2,4,5]=>[5,4,2,3,1,6]
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>[5,4,3,1,2,6]
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[5,4,3,2,1,6]
[[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]
[[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[1,6,5,4,2,3]=>[3,2,4,5,6,1]
[[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[1,6,5,2,4,3]=>[3,4,2,5,6,1]
[[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[1,6,5,3,2,4]=>[4,2,3,5,6,1]
[[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]
[[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[1,6,2,5,4,3]=>[3,4,5,2,6,1]
[[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]
[[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[1,6,3,2,5,4]=>[4,5,2,3,6,1]
[[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]
[[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[1,6,4,3,2,5]=>[5,2,3,4,6,1]
[[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[1,6,4,2,3,5]=>[5,3,2,4,6,1]
[[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[1,6,2,4,3,5]=>[5,3,4,2,6,1]
[[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[1,6,3,2,4,5]=>[5,4,2,3,6,1]
[[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]
[[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]
[[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[2,1,6,5,3,4]=>[4,3,5,6,1,2]
[[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[2,1,6,3,5,4]=>[4,5,3,6,1,2]
[[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[2,1,6,4,3,5]=>[5,3,4,6,1,2]
[[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[2,1,6,3,4,5]=>[5,4,3,6,1,2]
[[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]
[[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]
[[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]
[[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[1,2,6,4,3,5]=>[5,3,4,6,2,1]
[[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]
[[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]
[[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[3,2,1,6,4,5]=>[5,4,6,1,2,3]
[[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[3,1,2,6,5,4]=>[4,5,6,2,1,3]
[[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[3,1,2,6,4,5]=>[5,4,6,2,1,3]
[[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]
[[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[1,3,2,6,4,5]=>[5,4,6,2,3,1]
[[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[4,5,6,3,1,2]
[[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[2,1,3,6,4,5]=>[5,4,6,3,1,2]
[[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]
[[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]
[[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]
[[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[4,3,1,2,6,5]=>[5,6,2,1,3,4]
[[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[4,1,3,2,6,5]=>[5,6,2,3,1,4]
[[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[4,2,1,3,6,5]=>[5,6,3,1,2,4]
[[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[4,1,2,3,6,5]=>[5,6,3,2,1,4]
[[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]
[[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[1,4,2,3,6,5]=>[5,6,3,2,4,1]
[[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]
[[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]
[[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[5,6,4,1,2,3]
[[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[3,1,2,4,6,5]=>[5,6,4,2,1,3]
[[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]
[[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]
[[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[5,4,3,1,2,6]=>[6,2,1,3,4,5]
[[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[5,4,1,3,2,6]=>[6,2,3,1,4,5]
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[5,4,2,1,3,6]=>[6,3,1,2,4,5]
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>[6,3,2,1,4,5]
[[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[5,1,4,3,2,6]=>[6,2,3,4,1,5]
[[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[5,1,4,2,3,6]=>[6,3,2,4,1,5]
[[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[5,2,1,4,3,6]=>[6,3,4,1,2,5]
[[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[5,1,2,4,3,6]=>[6,3,4,2,1,5]
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6]=>[6,4,1,2,3,5]
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>[6,4,2,1,3,5]
[[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[5,1,3,2,4,6]=>[6,4,2,3,1,5]
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>[6,4,3,1,2,5]
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[6,4,3,2,1,5]
[[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]
[[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[1,5,4,2,3,6]=>[6,3,2,4,5,1]
[[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[1,5,2,4,3,6]=>[6,3,4,2,5,1]
[[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[1,5,3,2,4,6]=>[6,4,2,3,5,1]
[[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>[6,4,3,2,5,1]
[[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[6,3,4,5,1,2]
[[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[2,1,5,3,4,6]=>[6,4,3,5,1,2]
[[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]
[[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[1,2,5,3,4,6]=>[6,4,3,5,2,1]
[[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[6,4,5,1,2,3]
[[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[3,1,2,5,4,6]=>[6,4,5,2,1,3]
[[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]
[[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[6,4,5,3,1,2]
[[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>[6,5,2,1,3,4]
[[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[4,1,3,2,5,6]=>[6,5,2,3,1,4]
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>[6,5,3,1,2,4]
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[6,5,3,2,1,4]
[[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]
[[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>[6,5,3,2,4,1]
[[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[6,5,3,4,1,2]
[[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[6,5,4,2,1,3]
[[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]
[[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7]
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1]
[[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2]
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1]
[[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1]
[[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1]
[[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]
[[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[1,5,4,2,3,7,6]=>[6,7,3,2,4,5,1]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]
[[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6]
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6]
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6]
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6]
[[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6]
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6]
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6]
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6]
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6]
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6]
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6]
[[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6]
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6]
[[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6]
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6]
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6]
[[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6]
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6]
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6]
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1]
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1]
[[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1]
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1]
[[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1]
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2]
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2]
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2]
[[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2]
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]
[[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1]
[[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1]
[[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1]
[[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1]
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[3,1,2,6,5,4,7]=>[7,4,5,6,2,1,3]
[[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3]
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]
[[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]
[[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5]
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5]
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5]
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5]
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5]
[[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5]
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5]
[[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5]
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5]
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5]
[[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5]
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5]
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5]
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]
[[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1]
[[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1]
[[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1]
[[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1]
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]
[[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2]
[[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]
[[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1]
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]
[[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3]
[[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]
[[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]
[[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]
[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4]
[[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4]
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4]
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4]
[[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]
[[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1]
[[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]
[[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]
[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]
[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3]
[[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]
[[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]
[[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[6,8,7,5,4,3,2,1]=>[8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[5,8,7,6,4,3,2,1]=>[8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[5,7,8,6,4,3,2,1]=>[8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[6,5,8,7,4,3,2,1]=>[8,7,6,5,2,1,4,3]=>[3,4,1,2,5,6,7,8]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[5,6,8,7,4,3,2,1]=>[8,7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7,8]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[5,7,6,8,4,3,2,1]=>[8,7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7,8]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[8,7,6,5,2,1,3,4]=>[4,3,1,2,5,6,7,8]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[4,8,7,6,5,3,2,1]=>[8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[4,7,8,6,5,3,2,1]=>[8,7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7,8]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[4,6,8,7,5,3,2,1]=>[8,7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7,8]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[4,7,6,8,5,3,2,1]=>[8,7,6,1,5,3,2,4]=>[4,2,3,5,1,6,7,8]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[4,6,7,8,5,3,2,1]=>[8,7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7,8]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[5,4,8,7,6,3,2,1]=>[8,7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7,8]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[5,4,7,8,6,3,2,1]=>[8,7,6,2,1,5,3,4]=>[4,3,5,1,2,6,7,8]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[4,5,8,7,6,3,2,1]=>[8,7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7,8]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[4,5,7,8,6,3,2,1]=>[8,7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7,8]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[6,5,4,8,7,3,2,1]=>[8,7,6,3,2,1,5,4]=>[4,5,1,2,3,6,7,8]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[5,6,4,8,7,3,2,1]=>[8,7,6,3,1,2,5,4]=>[4,5,2,1,3,6,7,8]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[4,6,5,8,7,3,2,1]=>[8,7,6,1,3,2,5,4]=>[4,5,2,3,1,6,7,8]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>[5,4,6,8,7,3,2,1]=>[8,7,6,2,1,3,5,4]=>[4,5,3,1,2,6,7,8]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[4,5,6,8,7,3,2,1]=>[8,7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7,8]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[8,7,6,4,3,1,2,5]=>[5,2,1,3,4,6,7,8]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[5,7,6,4,8,3,2,1]=>[8,7,6,4,1,3,2,5]=>[5,2,3,1,4,6,7,8]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[8,7,6,4,2,1,3,5]=>[5,3,1,2,4,6,7,8]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[8,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,8]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[4,7,6,5,8,3,2,1]=>[8,7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7,8]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[4,6,7,5,8,3,2,1]=>[8,7,6,1,4,2,3,5]=>[5,3,2,4,1,6,7,8]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[5,4,7,6,8,3,2,1]=>[8,7,6,2,1,4,3,5]=>[5,3,4,1,2,6,7,8]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[4,5,7,6,8,3,2,1]=>[8,7,6,1,2,4,3,5]=>[5,3,4,2,1,6,7,8]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[8,7,6,3,2,1,4,5]=>[5,4,1,2,3,6,7,8]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[8,7,6,3,1,2,4,5]=>[5,4,2,1,3,6,7,8]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[4,6,5,7,8,3,2,1]=>[8,7,6,1,3,2,4,5]=>[5,4,2,3,1,6,7,8]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[8,7,6,2,1,3,4,5]=>[5,4,3,1,2,6,7,8]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[3,8,7,6,5,4,2,1]=>[8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[3,7,8,6,5,4,2,1]=>[8,7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7,8]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[3,6,8,7,5,4,2,1]=>[8,7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7,8]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[3,7,6,8,5,4,2,1]=>[8,7,1,6,5,3,2,4]=>[4,2,3,5,6,1,7,8]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[3,6,7,8,5,4,2,1]=>[8,7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7,8]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[3,5,8,7,6,4,2,1]=>[8,7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7,8]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[3,5,7,8,6,4,2,1]=>[8,7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7,8]
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[3,6,5,8,7,4,2,1]=>[8,7,1,6,3,2,5,4]=>[4,5,2,3,6,1,7,8]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[3,5,6,8,7,4,2,1]=>[8,7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7,8]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[3,7,6,5,8,4,2,1]=>[8,7,1,6,4,3,2,5]=>[5,2,3,4,6,1,7,8]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[3,6,7,5,8,4,2,1]=>[8,7,1,6,4,2,3,5]=>[5,3,2,4,6,1,7,8]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>[3,5,7,6,8,4,2,1]=>[8,7,1,6,2,4,3,5]=>[5,3,4,2,6,1,7,8]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>[3,6,5,7,8,4,2,1]=>[8,7,1,6,3,2,4,5]=>[5,4,2,3,6,1,7,8]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>[8,7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7,8]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[4,3,8,7,6,5,2,1]=>[8,7,2,1,6,5,4,3]=>[3,4,5,6,1,2,7,8]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[4,3,7,8,6,5,2,1]=>[8,7,2,1,6,5,3,4]=>[4,3,5,6,1,2,7,8]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[4,3,6,8,7,5,2,1]=>[8,7,2,1,6,3,5,4]=>[4,5,3,6,1,2,7,8]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[4,3,7,6,8,5,2,1]=>[8,7,2,1,6,4,3,5]=>[5,3,4,6,1,2,7,8]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[4,3,6,7,8,5,2,1]=>[8,7,2,1,6,3,4,5]=>[5,4,3,6,1,2,7,8]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[3,4,8,7,6,5,2,1]=>[8,7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7,8]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[3,4,7,8,6,5,2,1]=>[8,7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7,8]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[3,4,6,8,7,5,2,1]=>[8,7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7,8]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[3,4,7,6,8,5,2,1]=>[8,7,1,2,6,4,3,5]=>[5,3,4,6,2,1,7,8]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[3,4,6,7,8,5,2,1]=>[8,7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7,8]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[5,4,3,8,7,6,2,1]=>[8,7,3,2,1,6,5,4]=>[4,5,6,1,2,3,7,8]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[5,4,3,7,8,6,2,1]=>[8,7,3,2,1,6,4,5]=>[5,4,6,1,2,3,7,8]
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>[4,5,3,8,7,6,2,1]=>[8,7,3,1,2,6,5,4]=>[4,5,6,2,1,3,7,8]
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>[4,5,3,7,8,6,2,1]=>[8,7,3,1,2,6,4,5]=>[5,4,6,2,1,3,7,8]
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>[3,5,4,8,7,6,2,1]=>[8,7,1,3,2,6,5,4]=>[4,5,6,2,3,1,7,8]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[3,5,4,7,8,6,2,1]=>[8,7,1,3,2,6,4,5]=>[5,4,6,2,3,1,7,8]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[4,3,5,8,7,6,2,1]=>[8,7,2,1,3,6,5,4]=>[4,5,6,3,1,2,7,8]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[4,3,5,7,8,6,2,1]=>[8,7,2,1,3,6,4,5]=>[5,4,6,3,1,2,7,8]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[3,4,5,8,7,6,2,1]=>[8,7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7,8]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>[3,4,5,7,8,6,2,1]=>[8,7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7,8]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[6,5,4,3,8,7,2,1]=>[8,7,4,3,2,1,6,5]=>[5,6,1,2,3,4,7,8]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[5,6,4,3,8,7,2,1]=>[8,7,4,3,1,2,6,5]=>[5,6,2,1,3,4,7,8]
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[4,6,5,3,8,7,2,1]=>[8,7,4,1,3,2,6,5]=>[5,6,2,3,1,4,7,8]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[5,4,6,3,8,7,2,1]=>[8,7,4,2,1,3,6,5]=>[5,6,3,1,2,4,7,8]
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>[4,5,6,3,8,7,2,1]=>[8,7,4,1,2,3,6,5]=>[5,6,3,2,1,4,7,8]
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>[3,6,5,4,8,7,2,1]=>[8,7,1,4,3,2,6,5]=>[5,6,2,3,4,1,7,8]
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>[3,5,6,4,8,7,2,1]=>[8,7,1,4,2,3,6,5]=>[5,6,3,2,4,1,7,8]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[4,3,6,5,8,7,2,1]=>[8,7,2,1,4,3,6,5]=>[5,6,3,4,1,2,7,8]
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>[3,4,6,5,8,7,2,1]=>[8,7,1,2,4,3,6,5]=>[5,6,3,4,2,1,7,8]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[5,4,3,6,8,7,2,1]=>[8,7,3,2,1,4,6,5]=>[5,6,4,1,2,3,7,8]
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>[4,5,3,6,8,7,2,1]=>[8,7,3,1,2,4,6,5]=>[5,6,4,2,1,3,7,8]
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>[3,5,4,6,8,7,2,1]=>[8,7,1,3,2,4,6,5]=>[5,6,4,2,3,1,7,8]
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>[4,3,5,6,8,7,2,1]=>[8,7,2,1,3,4,6,5]=>[5,6,4,3,1,2,7,8]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>[3,4,5,6,8,7,2,1]=>[8,7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7,8]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8]
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[6,7,5,4,3,8,2,1]=>[8,7,5,4,3,1,2,6]=>[6,2,1,3,4,5,7,8]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[5,7,6,4,3,8,2,1]=>[8,7,5,4,1,3,2,6]=>[6,2,3,1,4,5,7,8]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]=>[6,5,7,4,3,8,2,1]=>[8,7,5,4,2,1,3,6]=>[6,3,1,2,4,5,7,8]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]=>[5,6,7,4,3,8,2,1]=>[8,7,5,4,1,2,3,6]=>[6,3,2,1,4,5,7,8]
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[4,7,6,5,3,8,2,1]=>[8,7,5,1,4,3,2,6]=>[6,2,3,4,1,5,7,8]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[4,6,7,5,3,8,2,1]=>[8,7,5,1,4,2,3,6]=>[6,3,2,4,1,5,7,8]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[5,4,7,6,3,8,2,1]=>[8,7,5,2,1,4,3,6]=>[6,3,4,1,2,5,7,8]
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[4,5,7,6,3,8,2,1]=>[8,7,5,1,2,4,3,6]=>[6,3,4,2,1,5,7,8]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[6,5,4,7,3,8,2,1]=>[8,7,5,3,2,1,4,6]=>[6,4,1,2,3,5,7,8]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>[5,6,4,7,3,8,2,1]=>[8,7,5,3,1,2,4,6]=>[6,4,2,1,3,5,7,8]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[4,6,5,7,3,8,2,1]=>[8,7,5,1,3,2,4,6]=>[6,4,2,3,1,5,7,8]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[8,7,5,2,1,3,4,6]=>[6,4,3,1,2,5,7,8]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>[3,7,6,5,4,8,2,1]=>[8,7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7,8]
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>[3,6,7,5,4,8,2,1]=>[8,7,1,5,4,2,3,6]=>[6,3,2,4,5,1,7,8]
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]=>[3,5,7,6,4,8,2,1]=>[8,7,1,5,2,4,3,6]=>[6,3,4,2,5,1,7,8]
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]=>[3,6,5,7,4,8,2,1]=>[8,7,1,5,3,2,4,6]=>[6,4,2,3,5,1,7,8]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>[3,5,6,7,4,8,2,1]=>[8,7,1,5,2,3,4,6]=>[6,4,3,2,5,1,7,8]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>[4,3,7,6,5,8,2,1]=>[8,7,2,1,5,4,3,6]=>[6,3,4,5,1,2,7,8]
[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]=>[4,3,6,7,5,8,2,1]=>[8,7,2,1,5,3,4,6]=>[6,4,3,5,1,2,7,8]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[3,4,7,6,5,8,2,1]=>[8,7,1,2,5,4,3,6]=>[6,3,4,5,2,1,7,8]
[.,[.,[[[[.,.],.],[[.,.],.]],.]]]=>[3,4,6,7,5,8,2,1]=>[8,7,1,2,5,3,4,6]=>[6,4,3,5,2,1,7,8]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[5,4,3,7,6,8,2,1]=>[8,7,3,2,1,5,4,6]=>[6,4,5,1,2,3,7,8]
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>[4,5,3,7,6,8,2,1]=>[8,7,3,1,2,5,4,6]=>[6,4,5,2,1,3,7,8]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[3,5,4,7,6,8,2,1]=>[8,7,1,3,2,5,4,6]=>[6,4,5,2,3,1,7,8]
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>[4,3,5,7,6,8,2,1]=>[8,7,2,1,3,5,4,6]=>[6,4,5,3,1,2,7,8]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>[3,4,5,7,6,8,2,1]=>[8,7,1,2,3,5,4,6]=>[6,4,5,3,2,1,7,8]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[8,7,4,3,2,1,5,6]=>[6,5,1,2,3,4,7,8]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]]=>[5,6,4,3,7,8,2,1]=>[8,7,4,3,1,2,5,6]=>[6,5,2,1,3,4,7,8]
[.,[.,[[[.,[[.,.],[.,.]]],.],.]]]=>[4,6,5,3,7,8,2,1]=>[8,7,4,1,3,2,5,6]=>[6,5,2,3,1,4,7,8]
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]]=>[5,4,6,3,7,8,2,1]=>[8,7,4,2,1,3,5,6]=>[6,5,3,1,2,4,7,8]
[.,[.,[[[.,[[[.,.],.],.]],.],.]]]=>[4,5,6,3,7,8,2,1]=>[8,7,4,1,2,3,5,6]=>[6,5,3,2,1,4,7,8]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]=>[3,6,5,4,7,8,2,1]=>[8,7,1,4,3,2,5,6]=>[6,5,2,3,4,1,7,8]
[.,[.,[[[[.,.],[[.,.],.]],.],.]]]=>[3,5,6,4,7,8,2,1]=>[8,7,1,4,2,3,5,6]=>[6,5,3,2,4,1,7,8]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>[4,3,6,5,7,8,2,1]=>[8,7,2,1,4,3,5,6]=>[6,5,3,4,1,2,7,8]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[3,4,6,5,7,8,2,1]=>[8,7,1,2,4,3,5,6]=>[6,5,3,4,2,1,7,8]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]]=>[5,4,3,6,7,8,2,1]=>[8,7,3,2,1,4,5,6]=>[6,5,4,1,2,3,7,8]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]]=>[4,5,3,6,7,8,2,1]=>[8,7,3,1,2,4,5,6]=>[6,5,4,2,1,3,7,8]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]]=>[3,5,4,6,7,8,2,1]=>[8,7,1,3,2,4,5,6]=>[6,5,4,2,3,1,7,8]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[4,3,5,6,7,8,2,1]=>[8,7,2,1,3,4,5,6]=>[6,5,4,3,1,2,7,8]
[.,[.,[[[[[[.,.],.],.],.],.],.]]]=>[3,4,5,6,7,8,2,1]=>[8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,8,7,6,5,4,3,1]=>[8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[2,7,8,6,5,4,3,1]=>[8,1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1,8]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[2,6,8,7,5,4,3,1]=>[8,1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1,8]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[2,7,6,8,5,4,3,1]=>[8,1,7,6,5,3,2,4]=>[4,2,3,5,6,7,1,8]
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>[2,6,7,8,5,4,3,1]=>[8,1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1,8]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[2,5,8,7,6,4,3,1]=>[8,1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1,8]
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[2,5,7,8,6,4,3,1]=>[8,1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1,8]
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[2,6,5,8,7,4,3,1]=>[8,1,7,6,3,2,5,4]=>[4,5,2,3,6,7,1,8]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[2,5,6,8,7,4,3,1]=>[8,1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1,8]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[2,7,6,5,8,4,3,1]=>[8,1,7,6,4,3,2,5]=>[5,2,3,4,6,7,1,8]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[2,6,7,5,8,4,3,1]=>[8,1,7,6,4,2,3,5]=>[5,3,2,4,6,7,1,8]
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>[2,5,7,6,8,4,3,1]=>[8,1,7,6,2,4,3,5]=>[5,3,4,2,6,7,1,8]
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>[2,6,5,7,8,4,3,1]=>[8,1,7,6,3,2,4,5]=>[5,4,2,3,6,7,1,8]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[2,5,6,7,8,4,3,1]=>[8,1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1,8]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[2,4,8,7,6,5,3,1]=>[8,1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1,8]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[2,4,7,8,6,5,3,1]=>[8,1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1,8]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[2,4,6,8,7,5,3,1]=>[8,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,8]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[2,4,7,6,8,5,3,1]=>[8,1,7,2,6,4,3,5]=>[5,3,4,6,2,7,1,8]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[2,4,6,7,8,5,3,1]=>[8,1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1,8]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[2,5,4,8,7,6,3,1]=>[8,1,7,3,2,6,5,4]=>[4,5,6,2,3,7,1,8]
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[2,5,4,7,8,6,3,1]=>[8,1,7,3,2,6,4,5]=>[5,4,6,2,3,7,1,8]
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[2,4,5,8,7,6,3,1]=>[8,1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1,8]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[2,4,5,7,8,6,3,1]=>[8,1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1,8]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[2,6,5,4,8,7,3,1]=>[8,1,7,4,3,2,6,5]=>[5,6,2,3,4,7,1,8]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[2,5,6,4,8,7,3,1]=>[8,1,7,4,2,3,6,5]=>[5,6,3,2,4,7,1,8]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[2,4,6,5,8,7,3,1]=>[8,1,7,2,4,3,6,5]=>[5,6,3,4,2,7,1,8]
[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[2,5,4,6,8,7,3,1]=>[8,1,7,3,2,4,6,5]=>[5,6,4,2,3,7,1,8]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[2,4,5,6,8,7,3,1]=>[8,1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1,8]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[2,7,6,5,4,8,3,1]=>[8,1,7,5,4,3,2,6]=>[6,2,3,4,5,7,1,8]
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[2,6,7,5,4,8,3,1]=>[8,1,7,5,4,2,3,6]=>[6,3,2,4,5,7,1,8]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[2,5,7,6,4,8,3,1]=>[8,1,7,5,2,4,3,6]=>[6,3,4,2,5,7,1,8]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[2,6,5,7,4,8,3,1]=>[8,1,7,5,3,2,4,6]=>[6,4,2,3,5,7,1,8]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>[2,5,6,7,4,8,3,1]=>[8,1,7,5,2,3,4,6]=>[6,4,3,2,5,7,1,8]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[2,4,7,6,5,8,3,1]=>[8,1,7,2,5,4,3,6]=>[6,3,4,5,2,7,1,8]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[2,4,6,7,5,8,3,1]=>[8,1,7,2,5,3,4,6]=>[6,4,3,5,2,7,1,8]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[2,5,4,7,6,8,3,1]=>[8,1,7,3,2,5,4,6]=>[6,4,5,2,3,7,1,8]
[.,[[.,.],[[[[.,.],.],[.,.]],.]]]=>[2,4,5,7,6,8,3,1]=>[8,1,7,2,3,5,4,6]=>[6,4,5,3,2,7,1,8]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>[2,6,5,4,7,8,3,1]=>[8,1,7,4,3,2,5,6]=>[6,5,2,3,4,7,1,8]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[2,5,6,4,7,8,3,1]=>[8,1,7,4,2,3,5,6]=>[6,5,3,2,4,7,1,8]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>[2,4,6,5,7,8,3,1]=>[8,1,7,2,4,3,5,6]=>[6,5,3,4,2,7,1,8]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>[2,5,4,6,7,8,3,1]=>[8,1,7,3,2,4,5,6]=>[6,5,4,2,3,7,1,8]
[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[2,4,5,6,7,8,3,1]=>[8,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,8]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[3,2,8,7,6,5,4,1]=>[8,2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2,8]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[3,2,7,8,6,5,4,1]=>[8,2,1,7,6,5,3,4]=>[4,3,5,6,7,1,2,8]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[3,2,6,8,7,5,4,1]=>[8,2,1,7,6,3,5,4]=>[4,5,3,6,7,1,2,8]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[3,2,7,6,8,5,4,1]=>[8,2,1,7,6,4,3,5]=>[5,3,4,6,7,1,2,8]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[3,2,6,7,8,5,4,1]=>[8,2,1,7,6,3,4,5]=>[5,4,3,6,7,1,2,8]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[3,2,5,8,7,6,4,1]=>[8,2,1,7,3,6,5,4]=>[4,5,6,3,7,1,2,8]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[3,2,5,7,8,6,4,1]=>[8,2,1,7,3,6,4,5]=>[5,4,6,3,7,1,2,8]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[3,2,6,5,8,7,4,1]=>[8,2,1,7,4,3,6,5]=>[5,6,3,4,7,1,2,8]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[3,2,5,6,8,7,4,1]=>[8,2,1,7,3,4,6,5]=>[5,6,4,3,7,1,2,8]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[3,2,7,6,5,8,4,1]=>[8,2,1,7,5,4,3,6]=>[6,3,4,5,7,1,2,8]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[3,2,6,7,5,8,4,1]=>[8,2,1,7,5,3,4,6]=>[6,4,3,5,7,1,2,8]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[3,2,5,7,6,8,4,1]=>[8,2,1,7,3,5,4,6]=>[6,4,5,3,7,1,2,8]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[3,2,6,5,7,8,4,1]=>[8,2,1,7,4,3,5,6]=>[6,5,3,4,7,1,2,8]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[3,2,5,6,7,8,4,1]=>[8,2,1,7,3,4,5,6]=>[6,5,4,3,7,1,2,8]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[2,3,8,7,6,5,4,1]=>[8,1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1,8]
[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>[2,3,7,8,6,5,4,1]=>[8,1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1,8]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[2,3,6,8,7,5,4,1]=>[8,1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1,8]
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[2,3,7,6,8,5,4,1]=>[8,1,2,7,6,4,3,5]=>[5,3,4,6,7,2,1,8]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[2,3,6,7,8,5,4,1]=>[8,1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1,8]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[2,3,5,8,7,6,4,1]=>[8,1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1,8]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[2,3,5,7,8,6,4,1]=>[8,1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1,8]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[2,3,6,5,8,7,4,1]=>[8,1,2,7,4,3,6,5]=>[5,6,3,4,7,2,1,8]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[2,3,5,6,8,7,4,1]=>[8,1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1,8]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[2,3,7,6,5,8,4,1]=>[8,1,2,7,5,4,3,6]=>[6,3,4,5,7,2,1,8]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[2,3,6,7,5,8,4,1]=>[8,1,2,7,5,3,4,6]=>[6,4,3,5,7,2,1,8]
[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>[2,3,5,7,6,8,4,1]=>[8,1,2,7,3,5,4,6]=>[6,4,5,3,7,2,1,8]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[2,3,6,5,7,8,4,1]=>[8,1,2,7,4,3,5,6]=>[6,5,3,4,7,2,1,8]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[2,3,5,6,7,8,4,1]=>[8,1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1,8]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[4,3,2,8,7,6,5,1]=>[8,3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3,8]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[4,3,2,7,8,6,5,1]=>[8,3,2,1,7,6,4,5]=>[5,4,6,7,1,2,3,8]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[4,3,2,6,8,7,5,1]=>[8,3,2,1,7,4,6,5]=>[5,6,4,7,1,2,3,8]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[4,3,2,7,6,8,5,1]=>[8,3,2,1,7,5,4,6]=>[6,4,5,7,1,2,3,8]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[4,3,2,6,7,8,5,1]=>[8,3,2,1,7,4,5,6]=>[6,5,4,7,1,2,3,8]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[3,4,2,8,7,6,5,1]=>[8,3,1,2,7,6,5,4]=>[4,5,6,7,2,1,3,8]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[3,4,2,7,8,6,5,1]=>[8,3,1,2,7,6,4,5]=>[5,4,6,7,2,1,3,8]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[3,4,2,6,8,7,5,1]=>[8,3,1,2,7,4,6,5]=>[5,6,4,7,2,1,3,8]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[3,4,2,7,6,8,5,1]=>[8,3,1,2,7,5,4,6]=>[6,4,5,7,2,1,3,8]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[3,4,2,6,7,8,5,1]=>[8,3,1,2,7,4,5,6]=>[6,5,4,7,2,1,3,8]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[2,4,3,8,7,6,5,1]=>[8,1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1,8]
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[2,4,3,7,8,6,5,1]=>[8,1,3,2,7,6,4,5]=>[5,4,6,7,2,3,1,8]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[2,4,3,6,8,7,5,1]=>[8,1,3,2,7,4,6,5]=>[5,6,4,7,2,3,1,8]
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[2,4,3,7,6,8,5,1]=>[8,1,3,2,7,5,4,6]=>[6,4,5,7,2,3,1,8]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[2,4,3,6,7,8,5,1]=>[8,1,3,2,7,4,5,6]=>[6,5,4,7,2,3,1,8]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[3,2,4,8,7,6,5,1]=>[8,2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2,8]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>[3,2,4,7,8,6,5,1]=>[8,2,1,3,7,6,4,5]=>[5,4,6,7,3,1,2,8]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[3,2,4,6,8,7,5,1]=>[8,2,1,3,7,4,6,5]=>[5,6,4,7,3,1,2,8]
[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[3,2,4,7,6,8,5,1]=>[8,2,1,3,7,5,4,6]=>[6,4,5,7,3,1,2,8]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[3,2,4,6,7,8,5,1]=>[8,2,1,3,7,4,5,6]=>[6,5,4,7,3,1,2,8]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[2,3,4,8,7,6,5,1]=>[8,1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1,8]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[2,3,4,7,8,6,5,1]=>[8,1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1,8]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[2,3,4,6,8,7,5,1]=>[8,1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1,8]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[2,3,4,7,6,8,5,1]=>[8,1,2,3,7,5,4,6]=>[6,4,5,7,3,2,1,8]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[2,3,4,6,7,8,5,1]=>[8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[5,4,3,2,8,7,6,1]=>[8,4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4,8]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[5,4,3,2,7,8,6,1]=>[8,4,3,2,1,7,5,6]=>[6,5,7,1,2,3,4,8]
[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[4,5,3,2,8,7,6,1]=>[8,4,3,1,2,7,6,5]=>[5,6,7,2,1,3,4,8]
[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[4,5,3,2,7,8,6,1]=>[8,4,3,1,2,7,5,6]=>[6,5,7,2,1,3,4,8]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[3,5,4,2,8,7,6,1]=>[8,4,1,3,2,7,6,5]=>[5,6,7,2,3,1,4,8]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[3,5,4,2,7,8,6,1]=>[8,4,1,3,2,7,5,6]=>[6,5,7,2,3,1,4,8]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[4,3,5,2,8,7,6,1]=>[8,4,2,1,3,7,6,5]=>[5,6,7,3,1,2,4,8]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[4,3,5,2,7,8,6,1]=>[8,4,2,1,3,7,5,6]=>[6,5,7,3,1,2,4,8]
[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]=>[3,4,5,2,8,7,6,1]=>[8,4,1,2,3,7,6,5]=>[5,6,7,3,2,1,4,8]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[3,4,5,2,7,8,6,1]=>[8,4,1,2,3,7,5,6]=>[6,5,7,3,2,1,4,8]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[2,5,4,3,8,7,6,1]=>[8,1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1,8]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[2,5,4,3,7,8,6,1]=>[8,1,4,3,2,7,5,6]=>[6,5,7,2,3,4,1,8]
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[2,4,5,3,8,7,6,1]=>[8,1,4,2,3,7,6,5]=>[5,6,7,3,2,4,1,8]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[2,4,5,3,7,8,6,1]=>[8,1,4,2,3,7,5,6]=>[6,5,7,3,2,4,1,8]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[3,2,5,4,8,7,6,1]=>[8,2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2,8]
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[3,2,5,4,7,8,6,1]=>[8,2,1,4,3,7,5,6]=>[6,5,7,3,4,1,2,8]
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[2,3,5,4,8,7,6,1]=>[8,1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1,8]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[2,3,5,4,7,8,6,1]=>[8,1,2,4,3,7,5,6]=>[6,5,7,3,4,2,1,8]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[4,3,2,5,8,7,6,1]=>[8,3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3,8]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[4,3,2,5,7,8,6,1]=>[8,3,2,1,4,7,5,6]=>[6,5,7,4,1,2,3,8]
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>[3,4,2,5,8,7,6,1]=>[8,3,1,2,4,7,6,5]=>[5,6,7,4,2,1,3,8]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[3,4,2,5,7,8,6,1]=>[8,3,1,2,4,7,5,6]=>[6,5,7,4,2,1,3,8]
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>[2,4,3,5,8,7,6,1]=>[8,1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1,8]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[2,4,3,5,7,8,6,1]=>[8,1,3,2,4,7,5,6]=>[6,5,7,4,2,3,1,8]
[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>[3,2,4,5,8,7,6,1]=>[8,2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2,8]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[3,2,4,5,7,8,6,1]=>[8,2,1,3,4,7,5,6]=>[6,5,7,4,3,1,2,8]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[2,3,4,5,8,7,6,1]=>[8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8]
[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[2,3,4,5,7,8,6,1]=>[8,1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1,8]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[6,5,4,3,2,8,7,1]=>[8,5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5,8]
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>[5,6,4,3,2,8,7,1]=>[8,5,4,3,1,2,7,6]=>[6,7,2,1,3,4,5,8]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[4,6,5,3,2,8,7,1]=>[8,5,4,1,3,2,7,6]=>[6,7,2,3,1,4,5,8]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[5,4,6,3,2,8,7,1]=>[8,5,4,2,1,3,7,6]=>[6,7,3,1,2,4,5,8]
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>[4,5,6,3,2,8,7,1]=>[8,5,4,1,2,3,7,6]=>[6,7,3,2,1,4,5,8]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[3,6,5,4,2,8,7,1]=>[8,5,1,4,3,2,7,6]=>[6,7,2,3,4,1,5,8]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[3,5,6,4,2,8,7,1]=>[8,5,1,4,2,3,7,6]=>[6,7,3,2,4,1,5,8]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[4,3,6,5,2,8,7,1]=>[8,5,2,1,4,3,7,6]=>[6,7,3,4,1,2,5,8]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[3,4,6,5,2,8,7,1]=>[8,5,1,2,4,3,7,6]=>[6,7,3,4,2,1,5,8]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[5,4,3,6,2,8,7,1]=>[8,5,3,2,1,4,7,6]=>[6,7,4,1,2,3,5,8]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[4,5,3,6,2,8,7,1]=>[8,5,3,1,2,4,7,6]=>[6,7,4,2,1,3,5,8]
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>[3,5,4,6,2,8,7,1]=>[8,5,1,3,2,4,7,6]=>[6,7,4,2,3,1,5,8]
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]=>[4,3,5,6,2,8,7,1]=>[8,5,2,1,3,4,7,6]=>[6,7,4,3,1,2,5,8]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]]=>[3,4,5,6,2,8,7,1]=>[8,5,1,2,3,4,7,6]=>[6,7,4,3,2,1,5,8]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[2,6,5,4,3,8,7,1]=>[8,1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1,8]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[2,4,6,5,3,8,7,1]=>[8,1,5,2,4,3,7,6]=>[6,7,3,4,2,5,1,8]
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>[2,5,4,6,3,8,7,1]=>[8,1,5,3,2,4,7,6]=>[6,7,4,2,3,5,1,8]
[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>[2,4,5,6,3,8,7,1]=>[8,1,5,2,3,4,7,6]=>[6,7,4,3,2,5,1,8]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[3,2,6,5,4,8,7,1]=>[8,2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2,8]
[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[3,2,5,6,4,8,7,1]=>[8,2,1,5,3,4,7,6]=>[6,7,4,3,5,1,2,8]
[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>[2,3,6,5,4,8,7,1]=>[8,1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1,8]
[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>[2,3,5,6,4,8,7,1]=>[8,1,2,5,3,4,7,6]=>[6,7,4,3,5,2,1,8]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[4,3,2,6,5,8,7,1]=>[8,3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3,8]
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[3,4,2,6,5,8,7,1]=>[8,3,1,2,5,4,7,6]=>[6,7,4,5,2,1,3,8]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,1]=>[8,1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1,8]
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>[3,2,4,6,5,8,7,1]=>[8,2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2,8]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[2,3,4,6,5,8,7,1]=>[8,1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1,8]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[5,4,3,2,6,8,7,1]=>[8,4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4,8]
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>[4,5,3,2,6,8,7,1]=>[8,4,3,1,2,5,7,6]=>[6,7,5,2,1,3,4,8]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[3,5,4,2,6,8,7,1]=>[8,4,1,3,2,5,7,6]=>[6,7,5,2,3,1,4,8]
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]=>[4,3,5,2,6,8,7,1]=>[8,4,2,1,3,5,7,6]=>[6,7,5,3,1,2,4,8]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>[3,4,5,2,6,8,7,1]=>[8,4,1,2,3,5,7,6]=>[6,7,5,3,2,1,4,8]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[2,5,4,3,6,8,7,1]=>[8,1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1,8]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[2,4,5,3,6,8,7,1]=>[8,1,4,2,3,5,7,6]=>[6,7,5,3,2,4,1,8]
[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>[2,3,5,4,6,8,7,1]=>[8,1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1,8]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>[4,3,2,5,6,8,7,1]=>[8,3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3,8]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[3,4,2,5,6,8,7,1]=>[8,3,1,2,4,5,7,6]=>[6,7,5,4,2,1,3,8]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[2,4,3,5,6,8,7,1]=>[8,1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1,8]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>[3,2,4,5,6,8,7,1]=>[8,2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2,8]
[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,8,7,1]=>[8,1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1,8]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>[8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[6,7,5,4,3,2,8,1]=>[8,6,5,4,3,1,2,7]=>[7,2,1,3,4,5,6,8]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[5,7,6,4,3,2,8,1]=>[8,6,5,4,1,3,2,7]=>[7,2,3,1,4,5,6,8]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>[8,6,5,4,2,1,3,7]=>[7,3,1,2,4,5,6,8]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]]=>[5,6,7,4,3,2,8,1]=>[8,6,5,4,1,2,3,7]=>[7,3,2,1,4,5,6,8]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[4,7,6,5,3,2,8,1]=>[8,6,5,1,4,3,2,7]=>[7,2,3,4,1,5,6,8]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]=>[4,6,7,5,3,2,8,1]=>[8,6,5,1,4,2,3,7]=>[7,3,2,4,1,5,6,8]
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[5,4,7,6,3,2,8,1]=>[8,6,5,2,1,4,3,7]=>[7,3,4,1,2,5,6,8]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>[4,5,7,6,3,2,8,1]=>[8,6,5,1,2,4,3,7]=>[7,3,4,2,1,5,6,8]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]=>[6,5,4,7,3,2,8,1]=>[8,6,5,3,2,1,4,7]=>[7,4,1,2,3,5,6,8]
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]]=>[5,6,4,7,3,2,8,1]=>[8,6,5,3,1,2,4,7]=>[7,4,2,1,3,5,6,8]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[4,6,5,7,3,2,8,1]=>[8,6,5,1,3,2,4,7]=>[7,4,2,3,1,5,6,8]
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]]=>[5,4,6,7,3,2,8,1]=>[8,6,5,2,1,3,4,7]=>[7,4,3,1,2,5,6,8]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[8,6,5,1,2,3,4,7]=>[7,4,3,2,1,5,6,8]
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[3,7,6,5,4,2,8,1]=>[8,6,1,5,4,3,2,7]=>[7,2,3,4,5,1,6,8]
[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]=>[3,6,7,5,4,2,8,1]=>[8,6,1,5,4,2,3,7]=>[7,3,2,4,5,1,6,8]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[3,5,7,6,4,2,8,1]=>[8,6,1,5,2,4,3,7]=>[7,3,4,2,5,1,6,8]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[3,6,5,7,4,2,8,1]=>[8,6,1,5,3,2,4,7]=>[7,4,2,3,5,1,6,8]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>[3,5,6,7,4,2,8,1]=>[8,6,1,5,2,3,4,7]=>[7,4,3,2,5,1,6,8]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[4,3,7,6,5,2,8,1]=>[8,6,2,1,5,4,3,7]=>[7,3,4,5,1,2,6,8]
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[4,3,6,7,5,2,8,1]=>[8,6,2,1,5,3,4,7]=>[7,4,3,5,1,2,6,8]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>[3,4,7,6,5,2,8,1]=>[8,6,1,2,5,4,3,7]=>[7,3,4,5,2,1,6,8]
[.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>[3,4,6,7,5,2,8,1]=>[8,6,1,2,5,3,4,7]=>[7,4,3,5,2,1,6,8]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[5,4,3,7,6,2,8,1]=>[8,6,3,2,1,5,4,7]=>[7,4,5,1,2,3,6,8]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[4,5,3,7,6,2,8,1]=>[8,6,3,1,2,5,4,7]=>[7,4,5,2,1,3,6,8]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>[3,5,4,7,6,2,8,1]=>[8,6,1,3,2,5,4,7]=>[7,4,5,2,3,1,6,8]
[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]=>[4,3,5,7,6,2,8,1]=>[8,6,2,1,3,5,4,7]=>[7,4,5,3,1,2,6,8]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]]=>[3,4,5,7,6,2,8,1]=>[8,6,1,2,3,5,4,7]=>[7,4,5,3,2,1,6,8]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[8,6,4,3,2,1,5,7]=>[7,5,1,2,3,4,6,8]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[5,6,4,3,7,2,8,1]=>[8,6,4,3,1,2,5,7]=>[7,5,2,1,3,4,6,8]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[4,6,5,3,7,2,8,1]=>[8,6,4,1,3,2,5,7]=>[7,5,2,3,1,4,6,8]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[8,6,4,2,1,3,5,7]=>[7,5,3,1,2,4,6,8]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[8,6,4,1,2,3,5,7]=>[7,5,3,2,1,4,6,8]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[3,6,5,4,7,2,8,1]=>[8,6,1,4,3,2,5,7]=>[7,5,2,3,4,1,6,8]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[3,5,6,4,7,2,8,1]=>[8,6,1,4,2,3,5,7]=>[7,5,3,2,4,1,6,8]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[4,3,6,5,7,2,8,1]=>[8,6,2,1,4,3,5,7]=>[7,5,3,4,1,2,6,8]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>[3,4,6,5,7,2,8,1]=>[8,6,1,2,4,3,5,7]=>[7,5,3,4,2,1,6,8]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[8,6,3,2,1,4,5,7]=>[7,5,4,1,2,3,6,8]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]]=>[4,5,3,6,7,2,8,1]=>[8,6,3,1,2,4,5,7]=>[7,5,4,2,1,3,6,8]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>[3,5,4,6,7,2,8,1]=>[8,6,1,3,2,4,5,7]=>[7,5,4,2,3,1,6,8]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]]=>[4,3,5,6,7,2,8,1]=>[8,6,2,1,3,4,5,7]=>[7,5,4,3,1,2,6,8]
[.,[[.,[[[[[.,.],.],.],.],.]],.]]=>[3,4,5,6,7,2,8,1]=>[8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[2,7,6,5,4,3,8,1]=>[8,1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1,8]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>[2,6,7,5,4,3,8,1]=>[8,1,6,5,4,2,3,7]=>[7,3,2,4,5,6,1,8]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]=>[2,5,7,6,4,3,8,1]=>[8,1,6,5,2,4,3,7]=>[7,3,4,2,5,6,1,8]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[2,6,5,7,4,3,8,1]=>[8,1,6,5,3,2,4,7]=>[7,4,2,3,5,6,1,8]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[2,5,6,7,4,3,8,1]=>[8,1,6,5,2,3,4,7]=>[7,4,3,2,5,6,1,8]
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>[2,4,7,6,5,3,8,1]=>[8,1,6,2,5,4,3,7]=>[7,3,4,5,2,6,1,8]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[2,4,6,7,5,3,8,1]=>[8,1,6,2,5,3,4,7]=>[7,4,3,5,2,6,1,8]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[2,5,4,7,6,3,8,1]=>[8,1,6,3,2,5,4,7]=>[7,4,5,2,3,6,1,8]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[2,4,5,7,6,3,8,1]=>[8,1,6,2,3,5,4,7]=>[7,4,5,3,2,6,1,8]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>[2,6,5,4,7,3,8,1]=>[8,1,6,4,3,2,5,7]=>[7,5,2,3,4,6,1,8]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[2,5,6,4,7,3,8,1]=>[8,1,6,4,2,3,5,7]=>[7,5,3,2,4,6,1,8]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[2,4,6,5,7,3,8,1]=>[8,1,6,2,4,3,5,7]=>[7,5,3,4,2,6,1,8]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[2,5,4,6,7,3,8,1]=>[8,1,6,3,2,4,5,7]=>[7,5,4,2,3,6,1,8]
[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[2,4,5,6,7,3,8,1]=>[8,1,6,2,3,4,5,7]=>[7,5,4,3,2,6,1,8]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>[3,2,7,6,5,4,8,1]=>[8,2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2,8]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[3,2,6,7,5,4,8,1]=>[8,2,1,6,5,3,4,7]=>[7,4,3,5,6,1,2,8]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>[3,2,5,7,6,4,8,1]=>[8,2,1,6,3,5,4,7]=>[7,4,5,3,6,1,2,8]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[3,2,6,5,7,4,8,1]=>[8,2,1,6,4,3,5,7]=>[7,5,3,4,6,1,2,8]
[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>[3,2,5,6,7,4,8,1]=>[8,2,1,6,3,4,5,7]=>[7,5,4,3,6,1,2,8]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[2,3,7,6,5,4,8,1]=>[8,1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1,8]
[.,[[[[.,.],.],[.,[[.,.],.]]],.]]=>[2,3,6,7,5,4,8,1]=>[8,1,2,6,5,3,4,7]=>[7,4,3,5,6,2,1,8]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[2,3,5,7,6,4,8,1]=>[8,1,2,6,3,5,4,7]=>[7,4,5,3,6,2,1,8]
[.,[[[[.,.],.],[[.,[.,.]],.]],.]]=>[2,3,6,5,7,4,8,1]=>[8,1,2,6,4,3,5,7]=>[7,5,3,4,6,2,1,8]
[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[2,3,5,6,7,4,8,1]=>[8,1,2,6,3,4,5,7]=>[7,5,4,3,6,2,1,8]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[4,3,2,7,6,5,8,1]=>[8,3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3,8]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[4,3,2,6,7,5,8,1]=>[8,3,2,1,6,4,5,7]=>[7,5,4,6,1,2,3,8]
[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>[3,4,2,6,7,5,8,1]=>[8,3,1,2,6,4,5,7]=>[7,5,4,6,2,1,3,8]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[2,4,3,7,6,5,8,1]=>[8,1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1,8]
[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[2,4,3,6,7,5,8,1]=>[8,1,3,2,6,4,5,7]=>[7,5,4,6,2,3,1,8]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[3,2,4,7,6,5,8,1]=>[8,2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2,8]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[3,2,4,6,7,5,8,1]=>[8,2,1,3,6,4,5,7]=>[7,5,4,6,3,1,2,8]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[2,3,4,7,6,5,8,1]=>[8,1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1,8]
[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[2,3,4,6,7,5,8,1]=>[8,1,2,3,6,4,5,7]=>[7,5,4,6,3,2,1,8]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[5,4,3,2,7,6,8,1]=>[8,4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4,8]
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]]=>[4,5,3,2,7,6,8,1]=>[8,4,3,1,2,6,5,7]=>[7,5,6,2,1,3,4,8]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]=>[3,5,4,2,7,6,8,1]=>[8,4,1,3,2,6,5,7]=>[7,5,6,2,3,1,4,8]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[4,3,5,2,7,6,8,1]=>[8,4,2,1,3,6,5,7]=>[7,5,6,3,1,2,4,8]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]]=>[3,4,5,2,7,6,8,1]=>[8,4,1,2,3,6,5,7]=>[7,5,6,3,2,1,4,8]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[2,5,4,3,7,6,8,1]=>[8,1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1,8]
[.,[[[[.,.],[[.,.],.]],[.,.]],.]]=>[2,4,5,3,7,6,8,1]=>[8,1,4,2,3,6,5,7]=>[7,5,6,3,2,4,1,8]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,8,1]=>[8,2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2,8]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[2,3,5,4,7,6,8,1]=>[8,1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1,8]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>[4,3,2,5,7,6,8,1]=>[8,3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3,8]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]]=>[3,4,2,5,7,6,8,1]=>[8,3,1,2,4,6,5,7]=>[7,5,6,4,2,1,3,8]
[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>[2,4,3,5,7,6,8,1]=>[8,1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1,8]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>[3,2,4,5,7,6,8,1]=>[8,2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2,8]
[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>[2,3,4,5,7,6,8,1]=>[8,1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1,8]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[8,5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5,8]
[.,[[[.,[.,[.,[[.,.],.]]]],.],.]]=>[5,6,4,3,2,7,8,1]=>[8,5,4,3,1,2,6,7]=>[7,6,2,1,3,4,5,8]
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]=>[4,6,5,3,2,7,8,1]=>[8,5,4,1,3,2,6,7]=>[7,6,2,3,1,4,5,8]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[8,5,4,2,1,3,6,7]=>[7,6,3,1,2,4,5,8]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]]=>[4,5,6,3,2,7,8,1]=>[8,5,4,1,2,3,6,7]=>[7,6,3,2,1,4,5,8]
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]=>[3,6,5,4,2,7,8,1]=>[8,5,1,4,3,2,6,7]=>[7,6,2,3,4,1,5,8]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[3,5,6,4,2,7,8,1]=>[8,5,1,4,2,3,6,7]=>[7,6,3,2,4,1,5,8]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]=>[4,3,6,5,2,7,8,1]=>[8,5,2,1,4,3,6,7]=>[7,6,3,4,1,2,5,8]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>[3,4,6,5,2,7,8,1]=>[8,5,1,2,4,3,6,7]=>[7,6,3,4,2,1,5,8]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[8,5,3,2,1,4,6,7]=>[7,6,4,1,2,3,5,8]
[.,[[[.,[[.,[[.,.],.]],.]],.],.]]=>[4,5,3,6,2,7,8,1]=>[8,5,3,1,2,4,6,7]=>[7,6,4,2,1,3,5,8]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]]=>[3,5,4,6,2,7,8,1]=>[8,5,1,3,2,4,6,7]=>[7,6,4,2,3,1,5,8]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]]=>[4,3,5,6,2,7,8,1]=>[8,5,2,1,3,4,6,7]=>[7,6,4,3,1,2,5,8]
[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[8,5,1,2,3,4,6,7]=>[7,6,4,3,2,1,5,8]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[2,6,5,4,3,7,8,1]=>[8,1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1,8]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>[2,5,6,4,3,7,8,1]=>[8,1,5,4,2,3,6,7]=>[7,6,3,2,4,5,1,8]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>[2,4,6,5,3,7,8,1]=>[8,1,5,2,4,3,6,7]=>[7,6,3,4,2,5,1,8]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[2,5,4,6,3,7,8,1]=>[8,1,5,3,2,4,6,7]=>[7,6,4,2,3,5,1,8]
[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[2,4,5,6,3,7,8,1]=>[8,1,5,2,3,4,6,7]=>[7,6,4,3,2,5,1,8]
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>[3,2,6,5,4,7,8,1]=>[8,2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2,8]
[.,[[[[.,[.,.]],[[.,.],.]],.],.]]=>[3,2,5,6,4,7,8,1]=>[8,2,1,5,3,4,6,7]=>[7,6,4,3,5,1,2,8]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[2,3,6,5,4,7,8,1]=>[8,1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1,8]
[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[2,3,5,6,4,7,8,1]=>[8,1,2,5,3,4,6,7]=>[7,6,4,3,5,2,1,8]
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>[4,3,2,6,5,7,8,1]=>[8,3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3,8]
[.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>[3,4,2,6,5,7,8,1]=>[8,3,1,2,5,4,6,7]=>[7,6,4,5,2,1,3,8]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[2,4,3,6,5,7,8,1]=>[8,1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1,8]
[.,[[[[[.,[.,.]],.],[.,.]],.],.]]=>[3,2,4,6,5,7,8,1]=>[8,2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2,8]
[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[2,3,4,6,5,7,8,1]=>[8,1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1,8]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[8,4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4,8]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>[4,5,3,2,6,7,8,1]=>[8,4,3,1,2,5,6,7]=>[7,6,5,2,1,3,4,8]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[3,5,4,2,6,7,8,1]=>[8,4,1,3,2,5,6,7]=>[7,6,5,2,3,1,4,8]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[8,4,2,1,3,5,6,7]=>[7,6,5,3,1,2,4,8]
[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[3,4,5,2,6,7,8,1]=>[8,4,1,2,3,5,6,7]=>[7,6,5,3,2,1,4,8]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[2,5,4,3,6,7,8,1]=>[8,1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1,8]
[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[2,4,5,3,6,7,8,1]=>[8,1,4,2,3,5,6,7]=>[7,6,5,3,2,4,1,8]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[3,2,5,4,6,7,8,1]=>[8,2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2,8]
[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[2,3,5,4,6,7,8,1]=>[8,1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1,8]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[8,3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3,8]
[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[8,3,1,2,4,5,6,7]=>[7,6,5,4,2,1,3,8]
[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[2,4,3,5,6,7,8,1]=>[8,1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1,8]
[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[8,2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2,8]
[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[1,7,8,6,5,4,3,2]=>[1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[1,6,8,7,5,4,3,2]=>[1,8,7,6,5,2,4,3]=>[3,4,2,5,6,7,8,1]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[1,7,6,8,5,4,3,2]=>[1,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,1]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[1,6,7,8,5,4,3,2]=>[1,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,1]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[1,5,8,7,6,4,3,2]=>[1,8,7,6,2,5,4,3]=>[3,4,5,2,6,7,8,1]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[1,5,7,8,6,4,3,2]=>[1,8,7,6,2,5,3,4]=>[4,3,5,2,6,7,8,1]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[1,6,5,8,7,4,3,2]=>[1,8,7,6,3,2,5,4]=>[4,5,2,3,6,7,8,1]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[1,5,6,8,7,4,3,2]=>[1,8,7,6,2,3,5,4]=>[4,5,3,2,6,7,8,1]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[1,7,6,5,8,4,3,2]=>[1,8,7,6,4,3,2,5]=>[5,2,3,4,6,7,8,1]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[1,6,7,5,8,4,3,2]=>[1,8,7,6,4,2,3,5]=>[5,3,2,4,6,7,8,1]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[1,5,7,6,8,4,3,2]=>[1,8,7,6,2,4,3,5]=>[5,3,4,2,6,7,8,1]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[1,6,5,7,8,4,3,2]=>[1,8,7,6,3,2,4,5]=>[5,4,2,3,6,7,8,1]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[1,5,6,7,8,4,3,2]=>[1,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,1]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[1,4,8,7,6,5,3,2]=>[1,8,7,2,6,5,4,3]=>[3,4,5,6,2,7,8,1]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[1,4,7,8,6,5,3,2]=>[1,8,7,2,6,5,3,4]=>[4,3,5,6,2,7,8,1]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[1,4,6,8,7,5,3,2]=>[1,8,7,2,6,3,5,4]=>[4,5,3,6,2,7,8,1]
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>[1,4,7,6,8,5,3,2]=>[1,8,7,2,6,4,3,5]=>[5,3,4,6,2,7,8,1]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[1,4,6,7,8,5,3,2]=>[1,8,7,2,6,3,4,5]=>[5,4,3,6,2,7,8,1]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[1,5,4,8,7,6,3,2]=>[1,8,7,3,2,6,5,4]=>[4,5,6,2,3,7,8,1]
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>[1,5,4,7,8,6,3,2]=>[1,8,7,3,2,6,4,5]=>[5,4,6,2,3,7,8,1]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[1,4,5,8,7,6,3,2]=>[1,8,7,2,3,6,5,4]=>[4,5,6,3,2,7,8,1]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[1,4,5,7,8,6,3,2]=>[1,8,7,2,3,6,4,5]=>[5,4,6,3,2,7,8,1]
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>[1,6,5,4,8,7,3,2]=>[1,8,7,4,3,2,6,5]=>[5,6,2,3,4,7,8,1]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[1,5,6,4,8,7,3,2]=>[1,8,7,4,2,3,6,5]=>[5,6,3,2,4,7,8,1]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[1,4,6,5,8,7,3,2]=>[1,8,7,2,4,3,6,5]=>[5,6,3,4,2,7,8,1]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>[1,5,4,6,8,7,3,2]=>[1,8,7,3,2,4,6,5]=>[5,6,4,2,3,7,8,1]
[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>[1,4,5,6,8,7,3,2]=>[1,8,7,2,3,4,6,5]=>[5,6,4,3,2,7,8,1]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[1,7,6,5,4,8,3,2]=>[1,8,7,5,4,3,2,6]=>[6,2,3,4,5,7,8,1]
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>[1,6,7,5,4,8,3,2]=>[1,8,7,5,4,2,3,6]=>[6,3,2,4,5,7,8,1]
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>[1,5,7,6,4,8,3,2]=>[1,8,7,5,2,4,3,6]=>[6,3,4,2,5,7,8,1]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[1,6,5,7,4,8,3,2]=>[1,8,7,5,3,2,4,6]=>[6,4,2,3,5,7,8,1]
[[.,.],[.,[[.,[[[.,.],.],.]],.]]]=>[1,5,6,7,4,8,3,2]=>[1,8,7,5,2,3,4,6]=>[6,4,3,2,5,7,8,1]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[1,4,7,6,5,8,3,2]=>[1,8,7,2,5,4,3,6]=>[6,3,4,5,2,7,8,1]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[1,4,6,7,5,8,3,2]=>[1,8,7,2,5,3,4,6]=>[6,4,3,5,2,7,8,1]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>[1,5,4,7,6,8,3,2]=>[1,8,7,3,2,5,4,6]=>[6,4,5,2,3,7,8,1]
[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>[1,4,5,7,6,8,3,2]=>[1,8,7,2,3,5,4,6]=>[6,4,5,3,2,7,8,1]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>[1,6,5,4,7,8,3,2]=>[1,8,7,4,3,2,5,6]=>[6,5,2,3,4,7,8,1]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[1,5,6,4,7,8,3,2]=>[1,8,7,4,2,3,5,6]=>[6,5,3,2,4,7,8,1]
[[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>[1,4,6,5,7,8,3,2]=>[1,8,7,2,4,3,5,6]=>[6,5,3,4,2,7,8,1]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[1,5,4,6,7,8,3,2]=>[1,8,7,3,2,4,5,6]=>[6,5,4,2,3,7,8,1]
[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[1,4,5,6,7,8,3,2]=>[1,8,7,2,3,4,5,6]=>[6,5,4,3,2,7,8,1]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[1,3,8,7,6,5,4,2]=>[1,8,2,7,6,5,4,3]=>[3,4,5,6,7,2,8,1]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[1,3,7,8,6,5,4,2]=>[1,8,2,7,6,5,3,4]=>[4,3,5,6,7,2,8,1]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[1,3,6,8,7,5,4,2]=>[1,8,2,7,6,3,5,4]=>[4,5,3,6,7,2,8,1]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>[1,3,7,6,8,5,4,2]=>[1,8,2,7,6,4,3,5]=>[5,3,4,6,7,2,8,1]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[1,3,6,7,8,5,4,2]=>[1,8,2,7,6,3,4,5]=>[5,4,3,6,7,2,8,1]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[1,3,5,8,7,6,4,2]=>[1,8,2,7,3,6,5,4]=>[4,5,6,3,7,2,8,1]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[1,3,6,5,8,7,4,2]=>[1,8,2,7,4,3,6,5]=>[5,6,3,4,7,2,8,1]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[1,3,5,6,8,7,4,2]=>[1,8,2,7,3,4,6,5]=>[5,6,4,3,7,2,8,1]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[1,3,7,6,5,8,4,2]=>[1,8,2,7,5,4,3,6]=>[6,3,4,5,7,2,8,1]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[1,3,6,7,5,8,4,2]=>[1,8,2,7,5,3,4,6]=>[6,4,3,5,7,2,8,1]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[1,3,5,7,6,8,4,2]=>[1,8,2,7,3,5,4,6]=>[6,4,5,3,7,2,8,1]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[1,3,6,5,7,8,4,2]=>[1,8,2,7,4,3,5,6]=>[6,5,3,4,7,2,8,1]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[1,3,5,6,7,8,4,2]=>[1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[1,8,3,2,7,6,5,4]=>[4,5,6,7,2,3,8,1]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[1,4,3,7,8,6,5,2]=>[1,8,3,2,7,6,4,5]=>[5,4,6,7,2,3,8,1]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[1,4,3,6,8,7,5,2]=>[1,8,3,2,7,4,6,5]=>[5,6,4,7,2,3,8,1]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[1,4,3,7,6,8,5,2]=>[1,8,3,2,7,5,4,6]=>[6,4,5,7,2,3,8,1]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[1,4,3,6,7,8,5,2]=>[1,8,3,2,7,4,5,6]=>[6,5,4,7,2,3,8,1]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[1,3,4,8,7,6,5,2]=>[1,8,2,3,7,6,5,4]=>[4,5,6,7,3,2,8,1]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[1,3,4,7,8,6,5,2]=>[1,8,2,3,7,6,4,5]=>[5,4,6,7,3,2,8,1]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[1,3,4,6,8,7,5,2]=>[1,8,2,3,7,4,6,5]=>[5,6,4,7,3,2,8,1]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[1,3,4,7,6,8,5,2]=>[1,8,2,3,7,5,4,6]=>[6,4,5,7,3,2,8,1]
[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[1,3,4,6,7,8,5,2]=>[1,8,2,3,7,4,5,6]=>[6,5,4,7,3,2,8,1]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[1,5,4,3,8,7,6,2]=>[1,8,4,3,2,7,6,5]=>[5,6,7,2,3,4,8,1]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[1,5,4,3,7,8,6,2]=>[1,8,4,3,2,7,5,6]=>[6,5,7,2,3,4,8,1]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[1,4,5,3,8,7,6,2]=>[1,8,4,2,3,7,6,5]=>[5,6,7,3,2,4,8,1]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[1,4,5,3,7,8,6,2]=>[1,8,4,2,3,7,5,6]=>[6,5,7,3,2,4,8,1]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[1,3,5,4,8,7,6,2]=>[1,8,2,4,3,7,6,5]=>[5,6,7,3,4,2,8,1]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[1,3,5,4,7,8,6,2]=>[1,8,2,4,3,7,5,6]=>[6,5,7,3,4,2,8,1]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[1,4,3,5,8,7,6,2]=>[1,8,3,2,4,7,6,5]=>[5,6,7,4,2,3,8,1]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[1,4,3,5,7,8,6,2]=>[1,8,3,2,4,7,5,6]=>[6,5,7,4,2,3,8,1]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[1,3,4,5,8,7,6,2]=>[1,8,2,3,4,7,6,5]=>[5,6,7,4,3,2,8,1]
[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[1,3,4,5,7,8,6,2]=>[1,8,2,3,4,7,5,6]=>[6,5,7,4,3,2,8,1]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[1,6,5,4,3,8,7,2]=>[1,8,5,4,3,2,7,6]=>[6,7,2,3,4,5,8,1]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[1,5,6,4,3,8,7,2]=>[1,8,5,4,2,3,7,6]=>[6,7,3,2,4,5,8,1]
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[1,4,6,5,3,8,7,2]=>[1,8,5,2,4,3,7,6]=>[6,7,3,4,2,5,8,1]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>[1,5,4,6,3,8,7,2]=>[1,8,5,3,2,4,7,6]=>[6,7,4,2,3,5,8,1]
[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>[1,4,5,6,3,8,7,2]=>[1,8,5,2,3,4,7,6]=>[6,7,4,3,2,5,8,1]
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[1,3,6,5,4,8,7,2]=>[1,8,2,5,4,3,7,6]=>[6,7,3,4,5,2,8,1]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[1,3,5,6,4,8,7,2]=>[1,8,2,5,3,4,7,6]=>[6,7,4,3,5,2,8,1]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[1,8,3,2,5,4,7,6]=>[6,7,4,5,2,3,8,1]
[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[1,3,4,6,5,8,7,2]=>[1,8,2,3,5,4,7,6]=>[6,7,4,5,3,2,8,1]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[1,5,4,3,6,8,7,2]=>[1,8,4,3,2,5,7,6]=>[6,7,5,2,3,4,8,1]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>[1,4,5,3,6,8,7,2]=>[1,8,4,2,3,5,7,6]=>[6,7,5,3,2,4,8,1]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[1,3,5,4,6,8,7,2]=>[1,8,2,4,3,5,7,6]=>[6,7,5,3,4,2,8,1]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[1,4,3,5,6,8,7,2]=>[1,8,3,2,4,5,7,6]=>[6,7,5,4,2,3,8,1]
[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[1,3,4,5,6,8,7,2]=>[1,8,2,3,4,5,7,6]=>[6,7,5,4,3,2,8,1]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[1,7,6,5,4,3,8,2]=>[1,8,6,5,4,3,2,7]=>[7,2,3,4,5,6,8,1]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>[1,6,7,5,4,3,8,2]=>[1,8,6,5,4,2,3,7]=>[7,3,2,4,5,6,8,1]
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>[1,5,7,6,4,3,8,2]=>[1,8,6,5,2,4,3,7]=>[7,3,4,2,5,6,8,1]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[1,6,5,7,4,3,8,2]=>[1,8,6,5,3,2,4,7]=>[7,4,2,3,5,6,8,1]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[1,5,6,7,4,3,8,2]=>[1,8,6,5,2,3,4,7]=>[7,4,3,2,5,6,8,1]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>[1,4,7,6,5,3,8,2]=>[1,8,6,2,5,4,3,7]=>[7,3,4,5,2,6,8,1]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[1,4,6,7,5,3,8,2]=>[1,8,6,2,5,3,4,7]=>[7,4,3,5,2,6,8,1]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[1,5,4,7,6,3,8,2]=>[1,8,6,3,2,5,4,7]=>[7,4,5,2,3,6,8,1]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>[1,4,5,7,6,3,8,2]=>[1,8,6,2,3,5,4,7]=>[7,4,5,3,2,6,8,1]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>[1,6,5,4,7,3,8,2]=>[1,8,6,4,3,2,5,7]=>[7,5,2,3,4,6,8,1]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[1,5,6,4,7,3,8,2]=>[1,8,6,4,2,3,5,7]=>[7,5,3,2,4,6,8,1]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>[1,4,6,5,7,3,8,2]=>[1,8,6,2,4,3,5,7]=>[7,5,3,4,2,6,8,1]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[1,5,4,6,7,3,8,2]=>[1,8,6,3,2,4,5,7]=>[7,5,4,2,3,6,8,1]
[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[1,4,5,6,7,3,8,2]=>[1,8,6,2,3,4,5,7]=>[7,5,4,3,2,6,8,1]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>[1,3,7,6,5,4,8,2]=>[1,8,2,6,5,4,3,7]=>[7,3,4,5,6,2,8,1]
[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>[1,3,6,7,5,4,8,2]=>[1,8,2,6,5,3,4,7]=>[7,4,3,5,6,2,8,1]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[1,3,5,7,6,4,8,2]=>[1,8,2,6,3,5,4,7]=>[7,4,5,3,6,2,8,1]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>[1,3,6,5,7,4,8,2]=>[1,8,2,6,4,3,5,7]=>[7,5,3,4,6,2,8,1]
[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[1,3,5,6,7,4,8,2]=>[1,8,2,6,3,4,5,7]=>[7,5,4,3,6,2,8,1]
[[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>[1,4,3,7,6,5,8,2]=>[1,8,3,2,6,5,4,7]=>[7,4,5,6,2,3,8,1]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>[1,4,3,6,7,5,8,2]=>[1,8,3,2,6,4,5,7]=>[7,5,4,6,2,3,8,1]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[1,3,4,7,6,5,8,2]=>[1,8,2,3,6,5,4,7]=>[7,4,5,6,3,2,8,1]
[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[1,3,4,6,7,5,8,2]=>[1,8,2,3,6,4,5,7]=>[7,5,4,6,3,2,8,1]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[1,5,4,3,7,6,8,2]=>[1,8,4,3,2,6,5,7]=>[7,5,6,2,3,4,8,1]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[1,3,5,4,7,6,8,2]=>[1,8,2,4,3,6,5,7]=>[7,5,6,3,4,2,8,1]
[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>[1,4,3,5,7,6,8,2]=>[1,8,3,2,4,6,5,7]=>[7,5,6,4,2,3,8,1]
[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>[1,3,4,5,7,6,8,2]=>[1,8,2,3,4,6,5,7]=>[7,5,6,4,3,2,8,1]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[1,6,5,4,3,7,8,2]=>[1,8,5,4,3,2,6,7]=>[7,6,2,3,4,5,8,1]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>[1,5,6,4,3,7,8,2]=>[1,8,5,4,2,3,6,7]=>[7,6,3,2,4,5,8,1]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>[1,4,6,5,3,7,8,2]=>[1,8,5,2,4,3,6,7]=>[7,6,3,4,2,5,8,1]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[1,5,4,6,3,7,8,2]=>[1,8,5,3,2,4,6,7]=>[7,6,4,2,3,5,8,1]
[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[1,4,5,6,3,7,8,2]=>[1,8,5,2,3,4,6,7]=>[7,6,4,3,2,5,8,1]
[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>[1,3,6,5,4,7,8,2]=>[1,8,2,5,4,3,6,7]=>[7,6,3,4,5,2,8,1]
[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[1,3,5,6,4,7,8,2]=>[1,8,2,5,3,4,6,7]=>[7,6,4,3,5,2,8,1]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[1,4,3,6,5,7,8,2]=>[1,8,3,2,5,4,6,7]=>[7,6,4,5,2,3,8,1]
[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[1,3,4,6,5,7,8,2]=>[1,8,2,3,5,4,6,7]=>[7,6,4,5,3,2,8,1]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[1,5,4,3,6,7,8,2]=>[1,8,4,3,2,5,6,7]=>[7,6,5,2,3,4,8,1]
[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[1,4,5,3,6,7,8,2]=>[1,8,4,2,3,5,6,7]=>[7,6,5,3,2,4,8,1]
[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[1,3,5,4,6,7,8,2]=>[1,8,2,4,3,5,6,7]=>[7,6,5,3,4,2,8,1]
[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[1,4,3,5,6,7,8,2]=>[1,8,3,2,4,5,6,7]=>[7,6,5,4,2,3,8,1]
[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,2]=>[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[2,1,7,8,6,5,4,3]=>[2,1,8,7,6,5,3,4]=>[4,3,5,6,7,8,1,2]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[2,1,6,8,7,5,4,3]=>[2,1,8,7,6,3,5,4]=>[4,5,3,6,7,8,1,2]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[2,1,7,6,8,5,4,3]=>[2,1,8,7,6,4,3,5]=>[5,3,4,6,7,8,1,2]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[2,1,8,7,6,3,4,5]=>[5,4,3,6,7,8,1,2]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[2,1,5,8,7,6,4,3]=>[2,1,8,7,3,6,5,4]=>[4,5,6,3,7,8,1,2]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[2,1,5,7,8,6,4,3]=>[2,1,8,7,3,6,4,5]=>[5,4,6,3,7,8,1,2]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[2,1,6,5,8,7,4,3]=>[2,1,8,7,4,3,6,5]=>[5,6,3,4,7,8,1,2]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[2,1,5,6,8,7,4,3]=>[2,1,8,7,3,4,6,5]=>[5,6,4,3,7,8,1,2]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[2,1,7,6,5,8,4,3]=>[2,1,8,7,5,4,3,6]=>[6,3,4,5,7,8,1,2]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[2,1,6,7,5,8,4,3]=>[2,1,8,7,5,3,4,6]=>[6,4,3,5,7,8,1,2]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[2,1,5,7,6,8,4,3]=>[2,1,8,7,3,5,4,6]=>[6,4,5,3,7,8,1,2]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[2,1,6,5,7,8,4,3]=>[2,1,8,7,4,3,5,6]=>[6,5,3,4,7,8,1,2]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[2,1,5,6,7,8,4,3]=>[2,1,8,7,3,4,5,6]=>[6,5,4,3,7,8,1,2]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[2,1,4,8,7,6,5,3]=>[2,1,8,3,7,6,5,4]=>[4,5,6,7,3,8,1,2]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[2,1,4,7,8,6,5,3]=>[2,1,8,3,7,6,4,5]=>[5,4,6,7,3,8,1,2]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[2,1,4,6,8,7,5,3]=>[2,1,8,3,7,4,6,5]=>[5,6,4,7,3,8,1,2]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[2,1,4,7,6,8,5,3]=>[2,1,8,3,7,5,4,6]=>[6,4,5,7,3,8,1,2]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[2,1,4,6,7,8,5,3]=>[2,1,8,3,7,4,5,6]=>[6,5,4,7,3,8,1,2]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[2,1,5,4,8,7,6,3]=>[2,1,8,4,3,7,6,5]=>[5,6,7,3,4,8,1,2]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[2,1,5,4,7,8,6,3]=>[2,1,8,4,3,7,5,6]=>[6,5,7,3,4,8,1,2]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[2,1,4,5,8,7,6,3]=>[2,1,8,3,4,7,6,5]=>[5,6,7,4,3,8,1,2]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[2,1,4,5,7,8,6,3]=>[2,1,8,3,4,7,5,6]=>[6,5,7,4,3,8,1,2]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[2,1,6,5,4,8,7,3]=>[2,1,8,5,4,3,7,6]=>[6,7,3,4,5,8,1,2]
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[2,1,5,6,4,8,7,3]=>[2,1,8,5,3,4,7,6]=>[6,7,4,3,5,8,1,2]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[2,1,4,6,5,8,7,3]=>[2,1,8,3,5,4,7,6]=>[6,7,4,5,3,8,1,2]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[2,1,5,4,6,8,7,3]=>[2,1,8,4,3,5,7,6]=>[6,7,5,3,4,8,1,2]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[2,1,4,5,6,8,7,3]=>[2,1,8,3,4,5,7,6]=>[6,7,5,4,3,8,1,2]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>[2,1,7,6,5,4,8,3]=>[2,1,8,6,5,4,3,7]=>[7,3,4,5,6,8,1,2]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[2,1,6,7,5,4,8,3]=>[2,1,8,6,5,3,4,7]=>[7,4,3,5,6,8,1,2]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[2,1,5,7,6,4,8,3]=>[2,1,8,6,3,5,4,7]=>[7,4,5,3,6,8,1,2]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[2,1,6,5,7,4,8,3]=>[2,1,8,6,4,3,5,7]=>[7,5,3,4,6,8,1,2]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[2,1,5,6,7,4,8,3]=>[2,1,8,6,3,4,5,7]=>[7,5,4,3,6,8,1,2]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[2,1,4,7,6,5,8,3]=>[2,1,8,3,6,5,4,7]=>[7,4,5,6,3,8,1,2]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[2,1,4,6,7,5,8,3]=>[2,1,8,3,6,4,5,7]=>[7,5,4,6,3,8,1,2]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,8,3]=>[2,1,8,4,3,6,5,7]=>[7,5,6,3,4,8,1,2]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>[2,1,4,5,7,6,8,3]=>[2,1,8,3,4,6,5,7]=>[7,5,6,4,3,8,1,2]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[2,1,6,5,4,7,8,3]=>[2,1,8,5,4,3,6,7]=>[7,6,3,4,5,8,1,2]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[2,1,5,6,4,7,8,3]=>[2,1,8,5,3,4,6,7]=>[7,6,4,3,5,8,1,2]
[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>[2,1,4,6,5,7,8,3]=>[2,1,8,3,5,4,6,7]=>[7,6,4,5,3,8,1,2]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[2,1,5,4,6,7,8,3]=>[2,1,8,4,3,5,6,7]=>[7,6,5,3,4,8,1,2]
[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[2,1,4,5,6,7,8,3]=>[2,1,8,3,4,5,6,7]=>[7,6,5,4,3,8,1,2]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,8,7,6,5,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[1,2,7,8,6,5,4,3]=>[1,2,8,7,6,5,3,4]=>[4,3,5,6,7,8,2,1]
[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[1,2,6,8,7,5,4,3]=>[1,2,8,7,6,3,5,4]=>[4,5,3,6,7,8,2,1]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>[1,2,7,6,8,5,4,3]=>[1,2,8,7,6,4,3,5]=>[5,3,4,6,7,8,2,1]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[1,2,6,7,8,5,4,3]=>[1,2,8,7,6,3,4,5]=>[5,4,3,6,7,8,2,1]
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[1,2,5,8,7,6,4,3]=>[1,2,8,7,3,6,5,4]=>[4,5,6,3,7,8,2,1]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[1,2,5,7,8,6,4,3]=>[1,2,8,7,3,6,4,5]=>[5,4,6,3,7,8,2,1]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[1,2,6,5,8,7,4,3]=>[1,2,8,7,4,3,6,5]=>[5,6,3,4,7,8,2,1]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[1,2,5,6,8,7,4,3]=>[1,2,8,7,3,4,6,5]=>[5,6,4,3,7,8,2,1]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[1,2,7,6,5,8,4,3]=>[1,2,8,7,5,4,3,6]=>[6,3,4,5,7,8,2,1]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[1,2,6,7,5,8,4,3]=>[1,2,8,7,5,3,4,6]=>[6,4,3,5,7,8,2,1]
[[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[1,2,5,7,6,8,4,3]=>[1,2,8,7,3,5,4,6]=>[6,4,5,3,7,8,2,1]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[1,2,6,5,7,8,4,3]=>[1,2,8,7,4,3,5,6]=>[6,5,3,4,7,8,2,1]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[1,2,5,6,7,8,4,3]=>[1,2,8,7,3,4,5,6]=>[6,5,4,3,7,8,2,1]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[1,2,4,8,7,6,5,3]=>[1,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,1]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[1,2,4,7,8,6,5,3]=>[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[1,2,4,6,8,7,5,3]=>[1,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,1]
[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>[1,2,4,7,6,8,5,3]=>[1,2,8,3,7,5,4,6]=>[6,4,5,7,3,8,2,1]
[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[1,2,4,6,7,8,5,3]=>[1,2,8,3,7,4,5,6]=>[6,5,4,7,3,8,2,1]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[1,2,5,4,8,7,6,3]=>[1,2,8,4,3,7,6,5]=>[5,6,7,3,4,8,2,1]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[1,2,5,4,7,8,6,3]=>[1,2,8,4,3,7,5,6]=>[6,5,7,3,4,8,2,1]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[1,2,4,5,8,7,6,3]=>[1,2,8,3,4,7,6,5]=>[5,6,7,4,3,8,2,1]
[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[1,2,4,5,7,8,6,3]=>[1,2,8,3,4,7,5,6]=>[6,5,7,4,3,8,2,1]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[1,2,6,5,4,8,7,3]=>[1,2,8,5,4,3,7,6]=>[6,7,3,4,5,8,2,1]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[1,2,5,6,4,8,7,3]=>[1,2,8,5,3,4,7,6]=>[6,7,4,3,5,8,2,1]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[1,2,4,6,5,8,7,3]=>[1,2,8,3,5,4,7,6]=>[6,7,4,5,3,8,2,1]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[1,2,5,4,6,8,7,3]=>[1,2,8,4,3,5,7,6]=>[6,7,5,3,4,8,2,1]
[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[1,2,4,5,6,8,7,3]=>[1,2,8,3,4,5,7,6]=>[6,7,5,4,3,8,2,1]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[1,2,7,6,5,4,8,3]=>[1,2,8,6,5,4,3,7]=>[7,3,4,5,6,8,2,1]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[1,2,6,7,5,4,8,3]=>[1,2,8,6,5,3,4,7]=>[7,4,3,5,6,8,2,1]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[1,2,5,7,6,4,8,3]=>[1,2,8,6,3,5,4,7]=>[7,4,5,3,6,8,2,1]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[1,2,6,5,7,4,8,3]=>[1,2,8,6,4,3,5,7]=>[7,5,3,4,6,8,2,1]
[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[1,2,5,6,7,4,8,3]=>[1,2,8,6,3,4,5,7]=>[7,5,4,3,6,8,2,1]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[1,2,4,7,6,5,8,3]=>[1,2,8,3,6,5,4,7]=>[7,4,5,6,3,8,2,1]
[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[1,2,4,6,7,5,8,3]=>[1,2,8,3,6,4,5,7]=>[7,5,4,6,3,8,2,1]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[1,2,5,4,7,6,8,3]=>[1,2,8,4,3,6,5,7]=>[7,5,6,3,4,8,2,1]
[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[1,2,4,5,7,6,8,3]=>[1,2,8,3,4,6,5,7]=>[7,5,6,4,3,8,2,1]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[1,2,6,5,4,7,8,3]=>[1,2,8,5,4,3,6,7]=>[7,6,3,4,5,8,2,1]
[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[1,2,5,6,4,7,8,3]=>[1,2,8,5,3,4,6,7]=>[7,6,4,3,5,8,2,1]
[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[1,2,4,6,5,7,8,3]=>[1,2,8,3,5,4,6,7]=>[7,6,4,5,3,8,2,1]
[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[1,2,5,4,6,7,8,3]=>[1,2,8,4,3,5,6,7]=>[7,6,5,3,4,8,2,1]
[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[1,2,4,5,6,7,8,3]=>[1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[3,2,1,7,8,6,5,4]=>[3,2,1,8,7,6,4,5]=>[5,4,6,7,8,1,2,3]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[3,2,1,6,8,7,5,4]=>[3,2,1,8,7,4,6,5]=>[5,6,4,7,8,1,2,3]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[3,2,1,7,6,8,5,4]=>[3,2,1,8,7,5,4,6]=>[6,4,5,7,8,1,2,3]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[3,2,1,6,7,8,5,4]=>[3,2,1,8,7,4,5,6]=>[6,5,4,7,8,1,2,3]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[3,2,1,5,8,7,6,4]=>[3,2,1,8,4,7,6,5]=>[5,6,7,4,8,1,2,3]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[3,2,1,5,7,8,6,4]=>[3,2,1,8,4,7,5,6]=>[6,5,7,4,8,1,2,3]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[3,2,1,6,5,8,7,4]=>[3,2,1,8,5,4,7,6]=>[6,7,4,5,8,1,2,3]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[3,2,1,5,6,8,7,4]=>[3,2,1,8,4,5,7,6]=>[6,7,5,4,8,1,2,3]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[3,2,1,7,6,5,8,4]=>[3,2,1,8,6,5,4,7]=>[7,4,5,6,8,1,2,3]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[3,2,1,6,7,5,8,4]=>[3,2,1,8,6,4,5,7]=>[7,5,4,6,8,1,2,3]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[3,2,1,5,7,6,8,4]=>[3,2,1,8,4,6,5,7]=>[7,5,6,4,8,1,2,3]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[3,2,1,6,5,7,8,4]=>[3,2,1,8,5,4,6,7]=>[7,6,4,5,8,1,2,3]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[3,2,1,5,6,7,8,4]=>[3,2,1,8,4,5,6,7]=>[7,6,5,4,8,1,2,3]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[2,3,1,8,7,6,5,4]=>[3,1,2,8,7,6,5,4]=>[4,5,6,7,8,2,1,3]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[2,3,1,7,8,6,5,4]=>[3,1,2,8,7,6,4,5]=>[5,4,6,7,8,2,1,3]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[2,3,1,6,8,7,5,4]=>[3,1,2,8,7,4,6,5]=>[5,6,4,7,8,2,1,3]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[2,3,1,7,6,8,5,4]=>[3,1,2,8,7,5,4,6]=>[6,4,5,7,8,2,1,3]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[2,3,1,6,7,8,5,4]=>[3,1,2,8,7,4,5,6]=>[6,5,4,7,8,2,1,3]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[2,3,1,5,8,7,6,4]=>[3,1,2,8,4,7,6,5]=>[5,6,7,4,8,2,1,3]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[2,3,1,5,7,8,6,4]=>[3,1,2,8,4,7,5,6]=>[6,5,7,4,8,2,1,3]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[2,3,1,6,5,8,7,4]=>[3,1,2,8,5,4,7,6]=>[6,7,4,5,8,2,1,3]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[2,3,1,5,6,8,7,4]=>[3,1,2,8,4,5,7,6]=>[6,7,5,4,8,2,1,3]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[2,3,1,7,6,5,8,4]=>[3,1,2,8,6,5,4,7]=>[7,4,5,6,8,2,1,3]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[2,3,1,6,7,5,8,4]=>[3,1,2,8,6,4,5,7]=>[7,5,4,6,8,2,1,3]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[2,3,1,5,7,6,8,4]=>[3,1,2,8,4,6,5,7]=>[7,5,6,4,8,2,1,3]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>[2,3,1,6,5,7,8,4]=>[3,1,2,8,5,4,6,7]=>[7,6,4,5,8,2,1,3]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[2,3,1,5,6,7,8,4]=>[3,1,2,8,4,5,6,7]=>[7,6,5,4,8,2,1,3]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[1,3,2,8,7,6,5,4]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[1,3,2,7,8,6,5,4]=>[1,3,2,8,7,6,4,5]=>[5,4,6,7,8,2,3,1]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[1,3,2,6,8,7,5,4]=>[1,3,2,8,7,4,6,5]=>[5,6,4,7,8,2,3,1]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>[1,3,2,7,6,8,5,4]=>[1,3,2,8,7,5,4,6]=>[6,4,5,7,8,2,3,1]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[1,3,2,6,7,8,5,4]=>[1,3,2,8,7,4,5,6]=>[6,5,4,7,8,2,3,1]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[1,3,2,5,8,7,6,4]=>[1,3,2,8,4,7,6,5]=>[5,6,7,4,8,2,3,1]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[1,3,2,5,7,8,6,4]=>[1,3,2,8,4,7,5,6]=>[6,5,7,4,8,2,3,1]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[1,3,2,6,5,8,7,4]=>[1,3,2,8,5,4,7,6]=>[6,7,4,5,8,2,3,1]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[1,3,2,5,6,8,7,4]=>[1,3,2,8,4,5,7,6]=>[6,7,5,4,8,2,3,1]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[1,3,2,7,6,5,8,4]=>[1,3,2,8,6,5,4,7]=>[7,4,5,6,8,2,3,1]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[1,3,2,6,7,5,8,4]=>[1,3,2,8,6,4,5,7]=>[7,5,4,6,8,2,3,1]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[1,3,2,5,7,6,8,4]=>[1,3,2,8,4,6,5,7]=>[7,5,6,4,8,2,3,1]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[1,3,2,6,5,7,8,4]=>[1,3,2,8,5,4,6,7]=>[7,6,4,5,8,2,3,1]
[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[1,3,2,5,6,7,8,4]=>[1,3,2,8,4,5,6,7]=>[7,6,5,4,8,2,3,1]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[2,1,3,8,7,6,5,4]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[2,1,3,7,8,6,5,4]=>[2,1,3,8,7,6,4,5]=>[5,4,6,7,8,3,1,2]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[2,1,3,6,8,7,5,4]=>[2,1,3,8,7,4,6,5]=>[5,6,4,7,8,3,1,2]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[2,1,3,7,6,8,5,4]=>[2,1,3,8,7,5,4,6]=>[6,4,5,7,8,3,1,2]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[2,1,3,6,7,8,5,4]=>[2,1,3,8,7,4,5,6]=>[6,5,4,7,8,3,1,2]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[2,1,3,5,8,7,6,4]=>[2,1,3,8,4,7,6,5]=>[5,6,7,4,8,3,1,2]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[2,1,3,5,7,8,6,4]=>[2,1,3,8,4,7,5,6]=>[6,5,7,4,8,3,1,2]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[2,1,3,6,5,8,7,4]=>[2,1,3,8,5,4,7,6]=>[6,7,4,5,8,3,1,2]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[2,1,3,5,6,8,7,4]=>[2,1,3,8,4,5,7,6]=>[6,7,5,4,8,3,1,2]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[2,1,3,7,6,5,8,4]=>[2,1,3,8,6,5,4,7]=>[7,4,5,6,8,3,1,2]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[2,1,3,6,7,5,8,4]=>[2,1,3,8,6,4,5,7]=>[7,5,4,6,8,3,1,2]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[2,1,3,5,7,6,8,4]=>[2,1,3,8,4,6,5,7]=>[7,5,6,4,8,3,1,2]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[2,1,3,6,5,7,8,4]=>[2,1,3,8,5,4,6,7]=>[7,6,4,5,8,3,1,2]
[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[2,1,3,5,6,7,8,4]=>[2,1,3,8,4,5,6,7]=>[7,6,5,4,8,3,1,2]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,8,7,6,5,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[1,2,3,7,8,6,5,4]=>[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[1,2,3,6,8,7,5,4]=>[1,2,3,8,7,4,6,5]=>[5,6,4,7,8,3,2,1]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[1,2,3,7,6,8,5,4]=>[1,2,3,8,7,5,4,6]=>[6,4,5,7,8,3,2,1]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[1,2,3,6,7,8,5,4]=>[1,2,3,8,7,4,5,6]=>[6,5,4,7,8,3,2,1]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[1,2,3,5,8,7,6,4]=>[1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[1,2,3,5,7,8,6,4]=>[1,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,1]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[1,2,3,6,5,8,7,4]=>[1,2,3,8,5,4,7,6]=>[6,7,4,5,8,3,2,1]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[1,2,3,5,6,8,7,4]=>[1,2,3,8,4,5,7,6]=>[6,7,5,4,8,3,2,1]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[1,2,3,7,6,5,8,4]=>[1,2,3,8,6,5,4,7]=>[7,4,5,6,8,3,2,1]
[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,6,4,5,7]=>[7,5,4,6,8,3,2,1]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,4,6,5,7]=>[7,5,6,4,8,3,2,1]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,5,4,6,7]=>[7,6,4,5,8,3,2,1]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[4,3,2,1,7,8,6,5]=>[4,3,2,1,8,7,5,6]=>[6,5,7,8,1,2,3,4]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[4,3,2,1,6,8,7,5]=>[4,3,2,1,8,5,7,6]=>[6,7,5,8,1,2,3,4]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[4,3,2,1,7,6,8,5]=>[4,3,2,1,8,6,5,7]=>[7,5,6,8,1,2,3,4]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[4,3,2,1,6,7,8,5]=>[4,3,2,1,8,5,6,7]=>[7,6,5,8,1,2,3,4]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[3,4,2,1,8,7,6,5]=>[4,3,1,2,8,7,6,5]=>[5,6,7,8,2,1,3,4]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[4,3,1,2,8,7,5,6]=>[6,5,7,8,2,1,3,4]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[3,4,2,1,6,8,7,5]=>[4,3,1,2,8,5,7,6]=>[6,7,5,8,2,1,3,4]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>[3,4,2,1,7,6,8,5]=>[4,3,1,2,8,6,5,7]=>[7,5,6,8,2,1,3,4]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[3,4,2,1,6,7,8,5]=>[4,3,1,2,8,5,6,7]=>[7,6,5,8,2,1,3,4]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[2,4,3,1,8,7,6,5]=>[4,1,3,2,8,7,6,5]=>[5,6,7,8,2,3,1,4]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[2,4,3,1,7,8,6,5]=>[4,1,3,2,8,7,5,6]=>[6,5,7,8,2,3,1,4]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[4,1,3,2,8,5,7,6]=>[6,7,5,8,2,3,1,4]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[2,4,3,1,7,6,8,5]=>[4,1,3,2,8,6,5,7]=>[7,5,6,8,2,3,1,4]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[2,4,3,1,6,7,8,5]=>[4,1,3,2,8,5,6,7]=>[7,6,5,8,2,3,1,4]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[3,2,4,1,8,7,6,5]=>[4,2,1,3,8,7,6,5]=>[5,6,7,8,3,1,2,4]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[3,2,4,1,7,8,6,5]=>[4,2,1,3,8,7,5,6]=>[6,5,7,8,3,1,2,4]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[3,2,4,1,6,8,7,5]=>[4,2,1,3,8,5,7,6]=>[6,7,5,8,3,1,2,4]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5]=>[4,2,1,3,8,6,5,7]=>[7,5,6,8,3,1,2,4]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[3,2,4,1,6,7,8,5]=>[4,2,1,3,8,5,6,7]=>[7,6,5,8,3,1,2,4]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[2,3,4,1,8,7,6,5]=>[4,1,2,3,8,7,6,5]=>[5,6,7,8,3,2,1,4]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[2,3,4,1,7,8,6,5]=>[4,1,2,3,8,7,5,6]=>[6,5,7,8,3,2,1,4]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[2,3,4,1,6,8,7,5]=>[4,1,2,3,8,5,7,6]=>[6,7,5,8,3,2,1,4]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[2,3,4,1,7,6,8,5]=>[4,1,2,3,8,6,5,7]=>[7,5,6,8,3,2,1,4]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[2,3,4,1,6,7,8,5]=>[4,1,2,3,8,5,6,7]=>[7,6,5,8,3,2,1,4]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[1,4,3,2,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[1,4,3,2,7,8,6,5]=>[1,4,3,2,8,7,5,6]=>[6,5,7,8,2,3,4,1]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[1,4,3,2,6,8,7,5]=>[1,4,3,2,8,5,7,6]=>[6,7,5,8,2,3,4,1]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[1,4,3,2,7,6,8,5]=>[1,4,3,2,8,6,5,7]=>[7,5,6,8,2,3,4,1]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[1,4,3,2,6,7,8,5]=>[1,4,3,2,8,5,6,7]=>[7,6,5,8,2,3,4,1]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[1,3,4,2,8,7,6,5]=>[1,4,2,3,8,7,6,5]=>[5,6,7,8,3,2,4,1]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[1,3,4,2,7,8,6,5]=>[1,4,2,3,8,7,5,6]=>[6,5,7,8,3,2,4,1]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[1,3,4,2,6,8,7,5]=>[1,4,2,3,8,5,7,6]=>[6,7,5,8,3,2,4,1]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[1,3,4,2,7,6,8,5]=>[1,4,2,3,8,6,5,7]=>[7,5,6,8,3,2,4,1]
[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[1,3,4,2,6,7,8,5]=>[1,4,2,3,8,5,6,7]=>[7,6,5,8,3,2,4,1]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[2,1,4,3,8,7,5,6]=>[6,5,7,8,3,4,1,2]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,8,5,7,6]=>[6,7,5,8,3,4,1,2]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,6,5,7]=>[7,5,6,8,3,4,1,2]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,5,6,7]=>[7,6,5,8,3,4,1,2]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[1,2,4,3,7,8,6,5]=>[1,2,4,3,8,7,5,6]=>[6,5,7,8,3,4,2,1]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[1,2,4,3,6,8,7,5]=>[1,2,4,3,8,5,7,6]=>[6,7,5,8,3,4,2,1]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,6,5,7]=>[7,5,6,8,3,4,2,1]
[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,5,6,7]=>[7,6,5,8,3,4,2,1]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[3,2,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[3,2,1,4,7,8,6,5]=>[3,2,1,4,8,7,5,6]=>[6,5,7,8,4,1,2,3]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[3,2,1,4,6,8,7,5]=>[3,2,1,4,8,5,7,6]=>[6,7,5,8,4,1,2,3]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[3,2,1,4,7,6,8,5]=>[3,2,1,4,8,6,5,7]=>[7,5,6,8,4,1,2,3]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[3,2,1,4,6,7,8,5]=>[3,2,1,4,8,5,6,7]=>[7,6,5,8,4,1,2,3]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[2,3,1,4,8,7,6,5]=>[3,1,2,4,8,7,6,5]=>[5,6,7,8,4,2,1,3]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[2,3,1,4,7,8,6,5]=>[3,1,2,4,8,7,5,6]=>[6,5,7,8,4,2,1,3]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>[2,3,1,4,6,8,7,5]=>[3,1,2,4,8,5,7,6]=>[6,7,5,8,4,2,1,3]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[2,3,1,4,7,6,8,5]=>[3,1,2,4,8,6,5,7]=>[7,5,6,8,4,2,1,3]
[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[2,3,1,4,6,7,8,5]=>[3,1,2,4,8,5,6,7]=>[7,6,5,8,4,2,1,3]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[1,3,2,4,7,8,6,5]=>[1,3,2,4,8,7,5,6]=>[6,5,7,8,4,2,3,1]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[1,3,2,4,6,8,7,5]=>[1,3,2,4,8,5,7,6]=>[6,7,5,8,4,2,3,1]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,6,5,7]=>[7,5,6,8,4,2,3,1]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,5,6,7]=>[7,6,5,8,4,2,3,1]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[2,1,3,4,7,8,6,5]=>[2,1,3,4,8,7,5,6]=>[6,5,7,8,4,3,1,2]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[2,1,3,4,6,8,7,5]=>[2,1,3,4,8,5,7,6]=>[6,7,5,8,4,3,1,2]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[2,1,3,4,7,6,8,5]=>[2,1,3,4,8,6,5,7]=>[7,5,6,8,4,3,1,2]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,5,6,7]=>[7,6,5,8,4,3,1,2]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[1,2,3,4,7,8,6,5]=>[1,2,3,4,8,7,5,6]=>[6,5,7,8,4,3,2,1]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,8,5,7,6]=>[6,7,5,8,4,3,2,1]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,6,5,7]=>[7,5,6,8,4,3,2,1]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,8,6,7]=>[7,6,8,1,2,3,4,5]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[4,5,3,2,1,8,7,6]=>[5,4,3,1,2,8,7,6]=>[6,7,8,2,1,3,4,5]
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>[4,5,3,2,1,7,8,6]=>[5,4,3,1,2,8,6,7]=>[7,6,8,2,1,3,4,5]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[3,5,4,2,1,8,7,6]=>[5,4,1,3,2,8,7,6]=>[6,7,8,2,3,1,4,5]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[3,5,4,2,1,7,8,6]=>[5,4,1,3,2,8,6,7]=>[7,6,8,2,3,1,4,5]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[4,3,5,2,1,8,7,6]=>[5,4,2,1,3,8,7,6]=>[6,7,8,3,1,2,4,5]
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[4,3,5,2,1,7,8,6]=>[5,4,2,1,3,8,6,7]=>[7,6,8,3,1,2,4,5]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[3,4,5,2,1,8,7,6]=>[5,4,1,2,3,8,7,6]=>[6,7,8,3,2,1,4,5]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[3,4,5,2,1,7,8,6]=>[5,4,1,2,3,8,6,7]=>[7,6,8,3,2,1,4,5]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[2,5,4,3,1,8,7,6]=>[5,1,4,3,2,8,7,6]=>[6,7,8,2,3,4,1,5]
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>[2,5,4,3,1,7,8,6]=>[5,1,4,3,2,8,6,7]=>[7,6,8,2,3,4,1,5]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[2,4,5,3,1,8,7,6]=>[5,1,4,2,3,8,7,6]=>[6,7,8,3,2,4,1,5]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[2,4,5,3,1,7,8,6]=>[5,1,4,2,3,8,6,7]=>[7,6,8,3,2,4,1,5]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[5,2,1,4,3,8,7,6]=>[6,7,8,3,4,1,2,5]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[3,2,5,4,1,7,8,6]=>[5,2,1,4,3,8,6,7]=>[7,6,8,3,4,1,2,5]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[2,3,5,4,1,8,7,6]=>[5,1,2,4,3,8,7,6]=>[6,7,8,3,4,2,1,5]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[2,3,5,4,1,7,8,6]=>[5,1,2,4,3,8,6,7]=>[7,6,8,3,4,2,1,5]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[4,3,2,5,1,8,7,6]=>[5,3,2,1,4,8,7,6]=>[6,7,8,4,1,2,3,5]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[4,3,2,5,1,7,8,6]=>[5,3,2,1,4,8,6,7]=>[7,6,8,4,1,2,3,5]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[3,4,2,5,1,8,7,6]=>[5,3,1,2,4,8,7,6]=>[6,7,8,4,2,1,3,5]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[3,4,2,5,1,7,8,6]=>[5,3,1,2,4,8,6,7]=>[7,6,8,4,2,1,3,5]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[2,4,3,5,1,8,7,6]=>[5,1,3,2,4,8,7,6]=>[6,7,8,4,2,3,1,5]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>[2,4,3,5,1,7,8,6]=>[5,1,3,2,4,8,6,7]=>[7,6,8,4,2,3,1,5]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>[3,2,4,5,1,8,7,6]=>[5,2,1,3,4,8,7,6]=>[6,7,8,4,3,1,2,5]
[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>[3,2,4,5,1,7,8,6]=>[5,2,1,3,4,8,6,7]=>[7,6,8,4,3,1,2,5]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[2,3,4,5,1,8,7,6]=>[5,1,2,3,4,8,7,6]=>[6,7,8,4,3,2,1,5]
[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[2,3,4,5,1,7,8,6]=>[5,1,2,3,4,8,6,7]=>[7,6,8,4,3,2,1,5]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[1,5,4,3,2,8,7,6]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[1,5,4,3,2,7,8,6]=>[1,5,4,3,2,8,6,7]=>[7,6,8,2,3,4,5,1]
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[1,4,5,3,2,8,7,6]=>[1,5,4,2,3,8,7,6]=>[6,7,8,3,2,4,5,1]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[1,4,5,3,2,7,8,6]=>[1,5,4,2,3,8,6,7]=>[7,6,8,3,2,4,5,1]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[1,3,5,4,2,8,7,6]=>[1,5,2,4,3,8,7,6]=>[6,7,8,3,4,2,5,1]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[1,3,5,4,2,7,8,6]=>[1,5,2,4,3,8,6,7]=>[7,6,8,3,4,2,5,1]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[1,4,3,5,2,8,7,6]=>[1,5,3,2,4,8,7,6]=>[6,7,8,4,2,3,5,1]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[1,4,3,5,2,7,8,6]=>[1,5,3,2,4,8,6,7]=>[7,6,8,4,2,3,5,1]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[1,3,4,5,2,8,7,6]=>[1,5,2,3,4,8,7,6]=>[6,7,8,4,3,2,5,1]
[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[1,3,4,5,2,7,8,6]=>[1,5,2,3,4,8,6,7]=>[7,6,8,4,3,2,5,1]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[2,1,5,4,3,8,7,6]=>[2,1,5,4,3,8,7,6]=>[6,7,8,3,4,5,1,2]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[2,1,5,4,3,7,8,6]=>[2,1,5,4,3,8,6,7]=>[7,6,8,3,4,5,1,2]
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[2,1,4,5,3,8,7,6]=>[2,1,5,3,4,8,7,6]=>[6,7,8,4,3,5,1,2]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[2,1,4,5,3,7,8,6]=>[2,1,5,3,4,8,6,7]=>[7,6,8,4,3,5,1,2]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[1,2,5,4,3,8,7,6]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[1,2,5,4,3,7,8,6]=>[1,2,5,4,3,8,6,7]=>[7,6,8,3,4,5,2,1]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[1,2,4,5,3,8,7,6]=>[1,2,5,3,4,8,7,6]=>[6,7,8,4,3,5,2,1]
[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[1,2,4,5,3,7,8,6]=>[1,2,5,3,4,8,6,7]=>[7,6,8,4,3,5,2,1]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[3,2,1,5,4,8,7,6]=>[3,2,1,5,4,8,7,6]=>[6,7,8,4,5,1,2,3]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[3,2,1,5,4,7,8,6]=>[3,2,1,5,4,8,6,7]=>[7,6,8,4,5,1,2,3]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[2,3,1,5,4,8,7,6]=>[3,1,2,5,4,8,7,6]=>[6,7,8,4,5,2,1,3]
[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[2,3,1,5,4,7,8,6]=>[3,1,2,5,4,8,6,7]=>[7,6,8,4,5,2,1,3]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,8,7,6]=>[6,7,8,4,5,2,3,1]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[1,3,2,5,4,7,8,6]=>[1,3,2,5,4,8,6,7]=>[7,6,8,4,5,2,3,1]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[2,1,3,5,4,8,7,6]=>[2,1,3,5,4,8,7,6]=>[6,7,8,4,5,3,1,2]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[2,1,3,5,4,7,8,6]=>[2,1,3,5,4,8,6,7]=>[7,6,8,4,5,3,1,2]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[1,2,3,5,4,8,7,6]=>[1,2,3,5,4,8,7,6]=>[6,7,8,4,5,3,2,1]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[1,2,3,5,4,7,8,6]=>[1,2,3,5,4,8,6,7]=>[7,6,8,4,5,3,2,1]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,8,6,7]=>[7,6,8,5,1,2,3,4]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[3,4,2,1,5,8,7,6]=>[4,3,1,2,5,8,7,6]=>[6,7,8,5,2,1,3,4]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[3,4,2,1,5,7,8,6]=>[4,3,1,2,5,8,6,7]=>[7,6,8,5,2,1,3,4]
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>[2,4,3,1,5,8,7,6]=>[4,1,3,2,5,8,7,6]=>[6,7,8,5,2,3,1,4]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[2,4,3,1,5,7,8,6]=>[4,1,3,2,5,8,6,7]=>[7,6,8,5,2,3,1,4]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[3,2,4,1,5,8,7,6]=>[4,2,1,3,5,8,7,6]=>[6,7,8,5,3,1,2,4]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[3,2,4,1,5,7,8,6]=>[4,2,1,3,5,8,6,7]=>[7,6,8,5,3,1,2,4]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[2,3,4,1,5,8,7,6]=>[4,1,2,3,5,8,7,6]=>[6,7,8,5,3,2,1,4]
[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[2,3,4,1,5,7,8,6]=>[4,1,2,3,5,8,6,7]=>[7,6,8,5,3,2,1,4]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[1,4,3,2,5,8,7,6]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[1,4,3,2,5,7,8,6]=>[1,4,3,2,5,8,6,7]=>[7,6,8,5,2,3,4,1]
[[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[1,3,4,2,5,8,7,6]=>[1,4,2,3,5,8,7,6]=>[6,7,8,5,3,2,4,1]
[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[1,3,4,2,5,7,8,6]=>[1,4,2,3,5,8,6,7]=>[7,6,8,5,3,2,4,1]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,8,7,6]=>[6,7,8,5,3,4,1,2]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[2,1,4,3,5,7,8,6]=>[2,1,4,3,5,8,6,7]=>[7,6,8,5,3,4,1,2]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[1,2,4,3,5,8,7,6]=>[1,2,4,3,5,8,7,6]=>[6,7,8,5,3,4,2,1]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[1,2,4,3,5,7,8,6]=>[1,2,4,3,5,8,6,7]=>[7,6,8,5,3,4,2,1]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[3,2,1,4,5,7,8,6]=>[3,2,1,4,5,8,6,7]=>[7,6,8,5,4,1,2,3]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>[2,3,1,4,5,8,7,6]=>[3,1,2,4,5,8,7,6]=>[6,7,8,5,4,2,1,3]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[2,3,1,4,5,7,8,6]=>[3,1,2,4,5,8,6,7]=>[7,6,8,5,4,2,1,3]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[1,3,2,4,5,8,7,6]=>[1,3,2,4,5,8,7,6]=>[6,7,8,5,4,2,3,1]
[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[1,3,2,4,5,7,8,6]=>[1,3,2,4,5,8,6,7]=>[7,6,8,5,4,2,3,1]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[2,1,3,4,5,8,7,6]=>[2,1,3,4,5,8,7,6]=>[6,7,8,5,4,3,1,2]
[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[2,1,3,4,5,7,8,6]=>[2,1,3,4,5,8,6,7]=>[7,6,8,5,4,3,1,2]
[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[5,6,4,3,2,1,8,7]=>[6,5,4,3,1,2,8,7]=>[7,8,2,1,3,4,5,6]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[4,6,5,3,2,1,8,7]=>[6,5,4,1,3,2,8,7]=>[7,8,2,3,1,4,5,6]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[5,4,6,3,2,1,8,7]=>[6,5,4,2,1,3,8,7]=>[7,8,3,1,2,4,5,6]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[6,5,4,1,2,3,8,7]=>[7,8,3,2,1,4,5,6]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[3,6,5,4,2,1,8,7]=>[6,5,1,4,3,2,8,7]=>[7,8,2,3,4,1,5,6]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[3,5,6,4,2,1,8,7]=>[6,5,1,4,2,3,8,7]=>[7,8,3,2,4,1,5,6]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[4,3,6,5,2,1,8,7]=>[6,5,2,1,4,3,8,7]=>[7,8,3,4,1,2,5,6]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>[3,4,6,5,2,1,8,7]=>[6,5,1,2,4,3,8,7]=>[7,8,3,4,2,1,5,6]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[5,4,3,6,2,1,8,7]=>[6,5,3,2,1,4,8,7]=>[7,8,4,1,2,3,5,6]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[4,5,3,6,2,1,8,7]=>[6,5,3,1,2,4,8,7]=>[7,8,4,2,1,3,5,6]
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>[3,5,4,6,2,1,8,7]=>[6,5,1,3,2,4,8,7]=>[7,8,4,2,3,1,5,6]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>[4,3,5,6,2,1,8,7]=>[6,5,2,1,3,4,8,7]=>[7,8,4,3,1,2,5,6]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[3,4,5,6,2,1,8,7]=>[6,5,1,2,3,4,8,7]=>[7,8,4,3,2,1,5,6]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[2,6,5,4,3,1,8,7]=>[6,1,5,4,3,2,8,7]=>[7,8,2,3,4,5,1,6]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[2,5,6,4,3,1,8,7]=>[6,1,5,4,2,3,8,7]=>[7,8,3,2,4,5,1,6]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[2,4,6,5,3,1,8,7]=>[6,1,5,2,4,3,8,7]=>[7,8,3,4,2,5,1,6]
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>[2,5,4,6,3,1,8,7]=>[6,1,5,3,2,4,8,7]=>[7,8,4,2,3,5,1,6]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>[2,4,5,6,3,1,8,7]=>[6,1,5,2,3,4,8,7]=>[7,8,4,3,2,5,1,6]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[3,2,6,5,4,1,8,7]=>[6,2,1,5,4,3,8,7]=>[7,8,3,4,5,1,2,6]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[3,2,5,6,4,1,8,7]=>[6,2,1,5,3,4,8,7]=>[7,8,4,3,5,1,2,6]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[2,3,6,5,4,1,8,7]=>[6,1,2,5,4,3,8,7]=>[7,8,3,4,5,2,1,6]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[2,3,5,6,4,1,8,7]=>[6,1,2,5,3,4,8,7]=>[7,8,4,3,5,2,1,6]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[4,3,2,6,5,1,8,7]=>[6,3,2,1,5,4,8,7]=>[7,8,4,5,1,2,3,6]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[3,4,2,6,5,1,8,7]=>[6,3,1,2,5,4,8,7]=>[7,8,4,5,2,1,3,6]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[2,4,3,6,5,1,8,7]=>[6,1,3,2,5,4,8,7]=>[7,8,4,5,2,3,1,6]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[3,2,4,6,5,1,8,7]=>[6,2,1,3,5,4,8,7]=>[7,8,4,5,3,1,2,6]
[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>[2,3,4,6,5,1,8,7]=>[6,1,2,3,5,4,8,7]=>[7,8,4,5,3,2,1,6]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[5,4,3,2,6,1,8,7]=>[6,4,3,2,1,5,8,7]=>[7,8,5,1,2,3,4,6]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[4,5,3,2,6,1,8,7]=>[6,4,3,1,2,5,8,7]=>[7,8,5,2,1,3,4,6]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>[3,5,4,2,6,1,8,7]=>[6,4,1,3,2,5,8,7]=>[7,8,5,2,3,1,4,6]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[4,3,5,2,6,1,8,7]=>[6,4,2,1,3,5,8,7]=>[7,8,5,3,1,2,4,6]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[3,4,5,2,6,1,8,7]=>[6,4,1,2,3,5,8,7]=>[7,8,5,3,2,1,4,6]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>[2,5,4,3,6,1,8,7]=>[6,1,4,3,2,5,8,7]=>[7,8,5,2,3,4,1,6]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>[2,4,5,3,6,1,8,7]=>[6,1,4,2,3,5,8,7]=>[7,8,5,3,2,4,1,6]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[3,2,5,4,6,1,8,7]=>[6,2,1,4,3,5,8,7]=>[7,8,5,3,4,1,2,6]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>[2,3,5,4,6,1,8,7]=>[6,1,2,4,3,5,8,7]=>[7,8,5,3,4,2,1,6]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[4,3,2,5,6,1,8,7]=>[6,3,2,1,4,5,8,7]=>[7,8,5,4,1,2,3,6]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[3,4,2,5,6,1,8,7]=>[6,3,1,2,4,5,8,7]=>[7,8,5,4,2,1,3,6]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>[2,4,3,5,6,1,8,7]=>[6,1,3,2,4,5,8,7]=>[7,8,5,4,2,3,1,6]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>[3,2,4,5,6,1,8,7]=>[6,2,1,3,4,5,8,7]=>[7,8,5,4,3,1,2,6]
[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,1,8,7]=>[6,1,2,3,4,5,8,7]=>[7,8,5,4,3,2,1,6]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[1,6,5,4,3,2,8,7]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>[1,5,6,4,3,2,8,7]=>[1,6,5,4,2,3,8,7]=>[7,8,3,2,4,5,6,1]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[1,4,6,5,3,2,8,7]=>[1,6,5,2,4,3,8,7]=>[7,8,3,4,2,5,6,1]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>[1,5,4,6,3,2,8,7]=>[1,6,5,3,2,4,8,7]=>[7,8,4,2,3,5,6,1]
[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>[1,4,5,6,3,2,8,7]=>[1,6,5,2,3,4,8,7]=>[7,8,4,3,2,5,6,1]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[1,3,6,5,4,2,8,7]=>[1,6,2,5,4,3,8,7]=>[7,8,3,4,5,2,6,1]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[1,3,5,6,4,2,8,7]=>[1,6,2,5,3,4,8,7]=>[7,8,4,3,5,2,6,1]
[[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[1,4,3,6,5,2,8,7]=>[1,6,3,2,5,4,8,7]=>[7,8,4,5,2,3,6,1]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[1,3,4,6,5,2,8,7]=>[1,6,2,3,5,4,8,7]=>[7,8,4,5,3,2,6,1]
[[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>[1,5,4,3,6,2,8,7]=>[1,6,4,3,2,5,8,7]=>[7,8,5,2,3,4,6,1]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[1,4,5,3,6,2,8,7]=>[1,6,4,2,3,5,8,7]=>[7,8,5,3,2,4,6,1]
[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>[1,3,5,4,6,2,8,7]=>[1,6,2,4,3,5,8,7]=>[7,8,5,3,4,2,6,1]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[1,4,3,5,6,2,8,7]=>[1,6,3,2,4,5,8,7]=>[7,8,5,4,2,3,6,1]
[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[1,3,4,5,6,2,8,7]=>[1,6,2,3,4,5,8,7]=>[7,8,5,4,3,2,6,1]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[2,1,5,6,4,3,8,7]=>[2,1,6,5,3,4,8,7]=>[7,8,4,3,5,6,1,2]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,6,5,3,8,7]=>[2,1,6,3,5,4,8,7]=>[7,8,4,5,3,6,1,2]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[2,1,5,4,6,3,8,7]=>[2,1,6,4,3,5,8,7]=>[7,8,5,3,4,6,1,2]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[2,1,4,5,6,3,8,7]=>[2,1,6,3,4,5,8,7]=>[7,8,5,4,3,6,1,2]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[1,2,6,5,4,3,8,7]=>[1,2,6,5,4,3,8,7]=>[7,8,3,4,5,6,2,1]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[1,2,5,6,4,3,8,7]=>[1,2,6,5,3,4,8,7]=>[7,8,4,3,5,6,2,1]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[1,2,4,6,5,3,8,7]=>[1,2,6,3,5,4,8,7]=>[7,8,4,5,3,6,2,1]
[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[1,2,5,4,6,3,8,7]=>[1,2,6,4,3,5,8,7]=>[7,8,5,3,4,6,2,1]
[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[1,2,4,5,6,3,8,7]=>[1,2,6,3,4,5,8,7]=>[7,8,5,4,3,6,2,1]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[3,2,1,6,5,4,8,7]=>[3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]
[[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[3,2,1,5,6,4,8,7]=>[3,2,1,6,4,5,8,7]=>[7,8,5,4,6,1,2,3]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[2,3,1,6,5,4,8,7]=>[3,1,2,6,5,4,8,7]=>[7,8,4,5,6,2,1,3]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[2,3,1,5,6,4,8,7]=>[3,1,2,6,4,5,8,7]=>[7,8,5,4,6,2,1,3]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[1,3,2,6,5,4,8,7]=>[1,3,2,6,5,4,8,7]=>[7,8,4,5,6,2,3,1]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[1,3,2,5,6,4,8,7]=>[1,3,2,6,4,5,8,7]=>[7,8,5,4,6,2,3,1]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[2,1,3,6,5,4,8,7]=>[2,1,3,6,5,4,8,7]=>[7,8,4,5,6,3,1,2]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[2,1,3,5,6,4,8,7]=>[2,1,3,6,4,5,8,7]=>[7,8,5,4,6,3,1,2]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[1,2,3,6,5,4,8,7]=>[1,2,3,6,5,4,8,7]=>[7,8,4,5,6,3,2,1]
[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[1,2,3,5,6,4,8,7]=>[1,2,3,6,4,5,8,7]=>[7,8,5,4,6,3,2,1]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[4,3,1,2,6,5,8,7]=>[7,8,5,6,2,1,3,4]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7]=>[4,1,3,2,6,5,8,7]=>[7,8,5,6,2,3,1,4]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7]=>[4,2,1,3,6,5,8,7]=>[7,8,5,6,3,1,2,4]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[2,3,4,1,6,5,8,7]=>[4,1,2,3,6,5,8,7]=>[7,8,5,6,3,2,1,4]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[1,4,3,2,6,5,8,7]=>[1,4,3,2,6,5,8,7]=>[7,8,5,6,2,3,4,1]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[1,3,4,2,6,5,8,7]=>[1,4,2,3,6,5,8,7]=>[7,8,5,6,3,2,4,1]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[1,2,4,3,6,5,8,7]=>[1,2,4,3,6,5,8,7]=>[7,8,5,6,3,4,2,1]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[3,2,1,4,6,5,8,7]=>[3,2,1,4,6,5,8,7]=>[7,8,5,6,4,1,2,3]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[2,3,1,4,6,5,8,7]=>[3,1,2,4,6,5,8,7]=>[7,8,5,6,4,2,1,3]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[1,3,2,4,6,5,8,7]=>[1,3,2,4,6,5,8,7]=>[7,8,5,6,4,2,3,1]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[2,1,3,4,6,5,8,7]=>[2,1,3,4,6,5,8,7]=>[7,8,5,6,4,3,1,2]
[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,6,5,8,7]=>[1,2,3,4,6,5,8,7]=>[7,8,5,6,4,3,2,1]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[5,4,3,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[4,5,3,2,1,6,8,7]=>[5,4,3,1,2,6,8,7]=>[7,8,6,2,1,3,4,5]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>[3,5,4,2,1,6,8,7]=>[5,4,1,3,2,6,8,7]=>[7,8,6,2,3,1,4,5]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[4,3,5,2,1,6,8,7]=>[5,4,2,1,3,6,8,7]=>[7,8,6,3,1,2,4,5]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[3,4,5,2,1,6,8,7]=>[5,4,1,2,3,6,8,7]=>[7,8,6,3,2,1,4,5]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[2,5,4,3,1,6,8,7]=>[5,1,4,3,2,6,8,7]=>[7,8,6,2,3,4,1,5]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[2,4,5,3,1,6,8,7]=>[5,1,4,2,3,6,8,7]=>[7,8,6,3,2,4,1,5]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[3,2,5,4,1,6,8,7]=>[5,2,1,4,3,6,8,7]=>[7,8,6,3,4,1,2,5]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[2,3,5,4,1,6,8,7]=>[5,1,2,4,3,6,8,7]=>[7,8,6,3,4,2,1,5]
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]]=>[4,3,2,5,1,6,8,7]=>[5,3,2,1,4,6,8,7]=>[7,8,6,4,1,2,3,5]
[[[.,[[.,[[.,.],.]],.]],.],[.,.]]=>[3,4,2,5,1,6,8,7]=>[5,3,1,2,4,6,8,7]=>[7,8,6,4,2,1,3,5]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>[2,4,3,5,1,6,8,7]=>[5,1,3,2,4,6,8,7]=>[7,8,6,4,2,3,1,5]
[[[.,[[[.,[.,.]],.],.]],.],[.,.]]=>[3,2,4,5,1,6,8,7]=>[5,2,1,3,4,6,8,7]=>[7,8,6,4,3,1,2,5]
[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>[2,3,4,5,1,6,8,7]=>[5,1,2,3,4,6,8,7]=>[7,8,6,4,3,2,1,5]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[1,5,4,3,2,6,8,7]=>[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]
[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>[1,4,5,3,2,6,8,7]=>[1,5,4,2,3,6,8,7]=>[7,8,6,3,2,4,5,1]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[1,3,5,4,2,6,8,7]=>[1,5,2,4,3,6,8,7]=>[7,8,6,3,4,2,5,1]
[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>[1,4,3,5,2,6,8,7]=>[1,5,3,2,4,6,8,7]=>[7,8,6,4,2,3,5,1]
[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>[1,3,4,5,2,6,8,7]=>[1,5,2,3,4,6,8,7]=>[7,8,6,4,3,2,5,1]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[2,1,5,4,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>[7,8,6,3,4,5,1,2]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[2,1,4,5,3,6,8,7]=>[2,1,5,3,4,6,8,7]=>[7,8,6,4,3,5,1,2]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[1,2,5,4,3,6,8,7]=>[1,2,5,4,3,6,8,7]=>[7,8,6,3,4,5,2,1]
[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[1,2,4,5,3,6,8,7]=>[1,2,5,3,4,6,8,7]=>[7,8,6,4,3,5,2,1]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[3,2,1,5,4,6,8,7]=>[3,2,1,5,4,6,8,7]=>[7,8,6,4,5,1,2,3]
[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>[2,3,1,5,4,6,8,7]=>[3,1,2,5,4,6,8,7]=>[7,8,6,4,5,2,1,3]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[1,3,2,5,4,6,8,7]=>[1,3,2,5,4,6,8,7]=>[7,8,6,4,5,2,3,1]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[2,1,3,5,4,6,8,7]=>[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]
[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[1,2,3,5,4,6,8,7]=>[1,2,3,5,4,6,8,7]=>[7,8,6,4,5,3,2,1]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[3,4,2,1,5,6,8,7]=>[4,3,1,2,5,6,8,7]=>[7,8,6,5,2,1,3,4]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[2,4,3,1,5,6,8,7]=>[4,1,3,2,5,6,8,7]=>[7,8,6,5,2,3,1,4]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[3,2,4,1,5,6,8,7]=>[4,2,1,3,5,6,8,7]=>[7,8,6,5,3,1,2,4]
[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[2,3,4,1,5,6,8,7]=>[4,1,2,3,5,6,8,7]=>[7,8,6,5,3,2,1,4]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[1,4,3,2,5,6,8,7]=>[1,4,3,2,5,6,8,7]=>[7,8,6,5,2,3,4,1]
[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[1,3,4,2,5,6,8,7]=>[1,4,2,3,5,6,8,7]=>[7,8,6,5,3,2,4,1]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[2,1,4,3,5,6,8,7]=>[2,1,4,3,5,6,8,7]=>[7,8,6,5,3,4,1,2]
[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[1,2,4,3,5,6,8,7]=>[1,2,4,3,5,6,8,7]=>[7,8,6,5,3,4,2,1]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[3,2,1,4,5,6,8,7]=>[3,2,1,4,5,6,8,7]=>[7,8,6,5,4,1,2,3]
[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[2,3,1,4,5,6,8,7]=>[3,1,2,4,5,6,8,7]=>[7,8,6,5,4,2,1,3]
[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[1,3,2,4,5,6,8,7]=>[1,3,2,4,5,6,8,7]=>[7,8,6,5,4,2,3,1]
[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]
[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[5,7,6,4,3,2,1,8]=>[7,6,5,4,1,3,2,8]=>[8,2,3,1,4,5,6,7]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[7,6,5,4,2,1,3,8]=>[8,3,1,2,4,5,6,7]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[7,6,5,4,1,2,3,8]=>[8,3,2,1,4,5,6,7]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[4,7,6,5,3,2,1,8]=>[7,6,5,1,4,3,2,8]=>[8,2,3,4,1,5,6,7]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>[4,6,7,5,3,2,1,8]=>[7,6,5,1,4,2,3,8]=>[8,3,2,4,1,5,6,7]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>[5,4,7,6,3,2,1,8]=>[7,6,5,2,1,4,3,8]=>[8,3,4,1,2,5,6,7]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[4,5,7,6,3,2,1,8]=>[7,6,5,1,2,4,3,8]=>[8,3,4,2,1,5,6,7]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[7,6,5,3,2,1,4,8]=>[8,4,1,2,3,5,6,7]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[7,6,5,3,1,2,4,8]=>[8,4,2,1,3,5,6,7]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>[4,6,5,7,3,2,1,8]=>[7,6,5,1,3,2,4,8]=>[8,4,2,3,1,5,6,7]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>[5,4,6,7,3,2,1,8]=>[7,6,5,2,1,3,4,8]=>[8,4,3,1,2,5,6,7]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[7,6,5,1,2,3,4,8]=>[8,4,3,2,1,5,6,7]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[3,7,6,5,4,2,1,8]=>[7,6,1,5,4,3,2,8]=>[8,2,3,4,5,1,6,7]
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>[3,6,7,5,4,2,1,8]=>[7,6,1,5,4,2,3,8]=>[8,3,2,4,5,1,6,7]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[3,5,7,6,4,2,1,8]=>[7,6,1,5,2,4,3,8]=>[8,3,4,2,5,1,6,7]
[[.,[.,[[.,.],[[.,[.,.]],.]]]],.]=>[3,6,5,7,4,2,1,8]=>[7,6,1,5,3,2,4,8]=>[8,4,2,3,5,1,6,7]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[3,5,6,7,4,2,1,8]=>[7,6,1,5,2,3,4,8]=>[8,4,3,2,5,1,6,7]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[4,3,7,6,5,2,1,8]=>[7,6,2,1,5,4,3,8]=>[8,3,4,5,1,2,6,7]
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>[4,3,6,7,5,2,1,8]=>[7,6,2,1,5,3,4,8]=>[8,4,3,5,1,2,6,7]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[3,4,7,6,5,2,1,8]=>[7,6,1,2,5,4,3,8]=>[8,3,4,5,2,1,6,7]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>[5,4,3,7,6,2,1,8]=>[7,6,3,2,1,5,4,8]=>[8,4,5,1,2,3,6,7]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[4,5,3,7,6,2,1,8]=>[7,6,3,1,2,5,4,8]=>[8,4,5,2,1,3,6,7]
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>[3,5,4,7,6,2,1,8]=>[7,6,1,3,2,5,4,8]=>[8,4,5,2,3,1,6,7]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>[4,3,5,7,6,2,1,8]=>[7,6,2,1,3,5,4,8]=>[8,4,5,3,1,2,6,7]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>[3,4,5,7,6,2,1,8]=>[7,6,1,2,3,5,4,8]=>[8,4,5,3,2,1,6,7]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[7,6,4,3,2,1,5,8]=>[8,5,1,2,3,4,6,7]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]=>[5,6,4,3,7,2,1,8]=>[7,6,4,3,1,2,5,8]=>[8,5,2,1,3,4,6,7]
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]=>[4,6,5,3,7,2,1,8]=>[7,6,4,1,3,2,5,8]=>[8,5,2,3,1,4,6,7]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[7,6,4,2,1,3,5,8]=>[8,5,3,1,2,4,6,7]
[[.,[.,[[.,[[[.,.],.],.]],.]]],.]=>[4,5,6,3,7,2,1,8]=>[7,6,4,1,2,3,5,8]=>[8,5,3,2,1,4,6,7]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]=>[3,6,5,4,7,2,1,8]=>[7,6,1,4,3,2,5,8]=>[8,5,2,3,4,1,6,7]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.]=>[3,5,6,4,7,2,1,8]=>[7,6,1,4,2,3,5,8]=>[8,5,3,2,4,1,6,7]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.]=>[4,3,6,5,7,2,1,8]=>[7,6,2,1,4,3,5,8]=>[8,5,3,4,1,2,6,7]
[[.,[.,[[[[.,.],.],[.,.]],.]]],.]=>[3,4,6,5,7,2,1,8]=>[7,6,1,2,4,3,5,8]=>[8,5,3,4,2,1,6,7]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[7,6,3,2,1,4,5,8]=>[8,5,4,1,2,3,6,7]
[[.,[.,[[[.,[[.,.],.]],.],.]]],.]=>[4,5,3,6,7,2,1,8]=>[7,6,3,1,2,4,5,8]=>[8,5,4,2,1,3,6,7]
[[.,[.,[[[[.,.],[.,.]],.],.]]],.]=>[3,5,4,6,7,2,1,8]=>[7,6,1,3,2,4,5,8]=>[8,5,4,2,3,1,6,7]
[[.,[.,[[[[.,[.,.]],.],.],.]]],.]=>[4,3,5,6,7,2,1,8]=>[7,6,2,1,3,4,5,8]=>[8,5,4,3,1,2,6,7]
[[.,[.,[[[[[.,.],.],.],.],.]]],.]=>[3,4,5,6,7,2,1,8]=>[7,6,1,2,3,4,5,8]=>[8,5,4,3,2,1,6,7]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[2,7,6,5,4,3,1,8]=>[7,1,6,5,4,3,2,8]=>[8,2,3,4,5,6,1,7]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>[2,6,7,5,4,3,1,8]=>[7,1,6,5,4,2,3,8]=>[8,3,2,4,5,6,1,7]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[2,5,7,6,4,3,1,8]=>[7,1,6,5,2,4,3,8]=>[8,3,4,2,5,6,1,7]
[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]=>[2,6,5,7,4,3,1,8]=>[7,1,6,5,3,2,4,8]=>[8,4,2,3,5,6,1,7]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[2,5,6,7,4,3,1,8]=>[7,1,6,5,2,3,4,8]=>[8,4,3,2,5,6,1,7]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[2,4,7,6,5,3,1,8]=>[7,1,6,2,5,4,3,8]=>[8,3,4,5,2,6,1,7]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[2,4,6,7,5,3,1,8]=>[7,1,6,2,5,3,4,8]=>[8,4,3,5,2,6,1,7]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>[2,5,4,7,6,3,1,8]=>[7,1,6,3,2,5,4,8]=>[8,4,5,2,3,6,1,7]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[2,4,5,7,6,3,1,8]=>[7,1,6,2,3,5,4,8]=>[8,4,5,3,2,6,1,7]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>[2,6,5,4,7,3,1,8]=>[7,1,6,4,3,2,5,8]=>[8,5,2,3,4,6,1,7]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[2,5,6,4,7,3,1,8]=>[7,1,6,4,2,3,5,8]=>[8,5,3,2,4,6,1,7]
[[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>[2,4,6,5,7,3,1,8]=>[7,1,6,2,4,3,5,8]=>[8,5,3,4,2,6,1,7]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>[2,5,4,6,7,3,1,8]=>[7,1,6,3,2,4,5,8]=>[8,5,4,2,3,6,1,7]
[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[2,4,5,6,7,3,1,8]=>[7,1,6,2,3,4,5,8]=>[8,5,4,3,2,6,1,7]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[3,2,7,6,5,4,1,8]=>[7,2,1,6,5,4,3,8]=>[8,3,4,5,6,1,2,7]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[3,2,6,7,5,4,1,8]=>[7,2,1,6,5,3,4,8]=>[8,4,3,5,6,1,2,7]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[3,2,5,7,6,4,1,8]=>[7,2,1,6,3,5,4,8]=>[8,4,5,3,6,1,2,7]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[3,2,6,5,7,4,1,8]=>[7,2,1,6,4,3,5,8]=>[8,5,3,4,6,1,2,7]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[3,2,5,6,7,4,1,8]=>[7,2,1,6,3,4,5,8]=>[8,5,4,3,6,1,2,7]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[2,3,7,6,5,4,1,8]=>[7,1,2,6,5,4,3,8]=>[8,3,4,5,6,2,1,7]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[2,3,6,7,5,4,1,8]=>[7,1,2,6,5,3,4,8]=>[8,4,3,5,6,2,1,7]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[2,3,5,7,6,4,1,8]=>[7,1,2,6,3,5,4,8]=>[8,4,5,3,6,2,1,7]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[2,3,6,5,7,4,1,8]=>[7,1,2,6,4,3,5,8]=>[8,5,3,4,6,2,1,7]
[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[2,3,5,6,7,4,1,8]=>[7,1,2,6,3,4,5,8]=>[8,5,4,3,6,2,1,7]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>[4,3,2,7,6,5,1,8]=>[7,3,2,1,6,5,4,8]=>[8,4,5,6,1,2,3,7]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[4,3,2,6,7,5,1,8]=>[7,3,2,1,6,4,5,8]=>[8,5,4,6,1,2,3,7]
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>[3,4,2,7,6,5,1,8]=>[7,3,1,2,6,5,4,8]=>[8,4,5,6,2,1,3,7]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[3,4,2,6,7,5,1,8]=>[7,3,1,2,6,4,5,8]=>[8,5,4,6,2,1,3,7]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[2,4,3,7,6,5,1,8]=>[7,1,3,2,6,5,4,8]=>[8,4,5,6,2,3,1,7]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>[2,4,3,6,7,5,1,8]=>[7,1,3,2,6,4,5,8]=>[8,5,4,6,2,3,1,7]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[3,2,4,7,6,5,1,8]=>[7,2,1,3,6,5,4,8]=>[8,4,5,6,3,1,2,7]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[3,2,4,6,7,5,1,8]=>[7,2,1,3,6,4,5,8]=>[8,5,4,6,3,1,2,7]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[2,3,4,7,6,5,1,8]=>[7,1,2,3,6,5,4,8]=>[8,4,5,6,3,2,1,7]
[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>[2,3,4,6,7,5,1,8]=>[7,1,2,3,6,4,5,8]=>[8,5,4,6,3,2,1,7]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[5,4,3,2,7,6,1,8]=>[7,4,3,2,1,6,5,8]=>[8,5,6,1,2,3,4,7]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[4,5,3,2,7,6,1,8]=>[7,4,3,1,2,6,5,8]=>[8,5,6,2,1,3,4,7]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[3,5,4,2,7,6,1,8]=>[7,4,1,3,2,6,5,8]=>[8,5,6,2,3,1,4,7]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[4,3,5,2,7,6,1,8]=>[7,4,2,1,3,6,5,8]=>[8,5,6,3,1,2,4,7]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.]=>[3,4,5,2,7,6,1,8]=>[7,4,1,2,3,6,5,8]=>[8,5,6,3,2,1,4,7]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>[2,5,4,3,7,6,1,8]=>[7,1,4,3,2,6,5,8]=>[8,5,6,2,3,4,1,7]
[[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>[2,4,5,3,7,6,1,8]=>[7,1,4,2,3,6,5,8]=>[8,5,6,3,2,4,1,7]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,1,8]=>[7,2,1,4,3,6,5,8]=>[8,5,6,3,4,1,2,7]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>[2,3,5,4,7,6,1,8]=>[7,1,2,4,3,6,5,8]=>[8,5,6,3,4,2,1,7]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[4,3,2,5,7,6,1,8]=>[7,3,2,1,4,6,5,8]=>[8,5,6,4,1,2,3,7]
[[.,[[[.,[[.,.],.]],.],[.,.]]],.]=>[3,4,2,5,7,6,1,8]=>[7,3,1,2,4,6,5,8]=>[8,5,6,4,2,1,3,7]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>[2,4,3,5,7,6,1,8]=>[7,1,3,2,4,6,5,8]=>[8,5,6,4,2,3,1,7]
[[.,[[[[.,[.,.]],.],.],[.,.]]],.]=>[3,2,4,5,7,6,1,8]=>[7,2,1,3,4,6,5,8]=>[8,5,6,4,3,1,2,7]
[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>[2,3,4,5,7,6,1,8]=>[7,1,2,3,4,6,5,8]=>[8,5,6,4,3,2,1,7]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>[6,5,4,3,2,7,1,8]=>[7,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,7]
[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]=>[4,6,5,3,2,7,1,8]=>[7,5,4,1,3,2,6,8]=>[8,6,2,3,1,4,5,7]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>[5,4,6,3,2,7,1,8]=>[7,5,4,2,1,3,6,8]=>[8,6,3,1,2,4,5,7]
[[.,[[.,[.,[[[.,.],.],.]]],.]],.]=>[4,5,6,3,2,7,1,8]=>[7,5,4,1,2,3,6,8]=>[8,6,3,2,1,4,5,7]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>[3,6,5,4,2,7,1,8]=>[7,5,1,4,3,2,6,8]=>[8,6,2,3,4,1,5,7]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[3,5,6,4,2,7,1,8]=>[7,5,1,4,2,3,6,8]=>[8,6,3,2,4,1,5,7]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[4,3,6,5,2,7,1,8]=>[7,5,2,1,4,3,6,8]=>[8,6,3,4,1,2,5,7]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>[3,4,6,5,2,7,1,8]=>[7,5,1,2,4,3,6,8]=>[8,6,3,4,2,1,5,7]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[5,4,3,6,2,7,1,8]=>[7,5,3,2,1,4,6,8]=>[8,6,4,1,2,3,5,7]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[7,5,3,1,2,4,6,8]=>[8,6,4,2,1,3,5,7]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>[3,5,4,6,2,7,1,8]=>[7,5,1,3,2,4,6,8]=>[8,6,4,2,3,1,5,7]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.]=>[4,3,5,6,2,7,1,8]=>[7,5,2,1,3,4,6,8]=>[8,6,4,3,1,2,5,7]
[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[7,5,1,2,3,4,6,8]=>[8,6,4,3,2,1,5,7]
[[.,[[[.,.],[.,[[.,.],.]]],.]],.]=>[2,5,6,4,3,7,1,8]=>[7,1,5,4,2,3,6,8]=>[8,6,3,2,4,5,1,7]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>[2,4,6,5,3,7,1,8]=>[7,1,5,2,4,3,6,8]=>[8,6,3,4,2,5,1,7]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>[2,5,4,6,3,7,1,8]=>[7,1,5,3,2,4,6,8]=>[8,6,4,2,3,5,1,7]
[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>[2,4,5,6,3,7,1,8]=>[7,1,5,2,3,4,6,8]=>[8,6,4,3,2,5,1,7]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>[3,2,6,5,4,7,1,8]=>[7,2,1,5,4,3,6,8]=>[8,6,3,4,5,1,2,7]
[[.,[[[[.,.],.],[.,[.,.]]],.]],.]=>[2,3,6,5,4,7,1,8]=>[7,1,2,5,4,3,6,8]=>[8,6,3,4,5,2,1,7]
[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>[2,3,5,6,4,7,1,8]=>[7,1,2,5,3,4,6,8]=>[8,6,4,3,5,2,1,7]
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]=>[4,3,2,6,5,7,1,8]=>[7,3,2,1,5,4,6,8]=>[8,6,4,5,1,2,3,7]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>[3,4,2,6,5,7,1,8]=>[7,3,1,2,5,4,6,8]=>[8,6,4,5,2,1,3,7]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[2,4,3,6,5,7,1,8]=>[7,1,3,2,5,4,6,8]=>[8,6,4,5,2,3,1,7]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>[3,2,4,6,5,7,1,8]=>[7,2,1,3,5,4,6,8]=>[8,6,4,5,3,1,2,7]
[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[2,3,4,6,5,7,1,8]=>[7,1,2,3,5,4,6,8]=>[8,6,4,5,3,2,1,7]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[7,4,3,2,1,5,6,8]=>[8,6,5,1,2,3,4,7]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.]=>[4,5,3,2,6,7,1,8]=>[7,4,3,1,2,5,6,8]=>[8,6,5,2,1,3,4,7]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[3,5,4,2,6,7,1,8]=>[7,4,1,3,2,5,6,8]=>[8,6,5,2,3,1,4,7]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.]=>[4,3,5,2,6,7,1,8]=>[7,4,2,1,3,5,6,8]=>[8,6,5,3,1,2,4,7]
[[.,[[[.,[[[.,.],.],.]],.],.]],.]=>[3,4,5,2,6,7,1,8]=>[7,4,1,2,3,5,6,8]=>[8,6,5,3,2,1,4,7]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>[2,5,4,3,6,7,1,8]=>[7,1,4,3,2,5,6,8]=>[8,6,5,2,3,4,1,7]
[[.,[[[[.,.],[[.,.],.]],.],.]],.]=>[2,4,5,3,6,7,1,8]=>[7,1,4,2,3,5,6,8]=>[8,6,5,3,2,4,1,7]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.]=>[3,2,5,4,6,7,1,8]=>[7,2,1,4,3,5,6,8]=>[8,6,5,3,4,1,2,7]
[[.,[[[[[.,.],.],[.,.]],.],.]],.]=>[2,3,5,4,6,7,1,8]=>[7,1,2,4,3,5,6,8]=>[8,6,5,3,4,2,1,7]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.]=>[4,3,2,5,6,7,1,8]=>[7,3,2,1,4,5,6,8]=>[8,6,5,4,1,2,3,7]
[[.,[[[[.,[[.,.],.]],.],.],.]],.]=>[3,4,2,5,6,7,1,8]=>[7,3,1,2,4,5,6,8]=>[8,6,5,4,2,1,3,7]
[[.,[[[[[.,.],[.,.]],.],.],.]],.]=>[2,4,3,5,6,7,1,8]=>[7,1,3,2,4,5,6,8]=>[8,6,5,4,2,3,1,7]
[[.,[[[[[.,[.,.]],.],.],.],.]],.]=>[3,2,4,5,6,7,1,8]=>[7,2,1,3,4,5,6,8]=>[8,6,5,4,3,1,2,7]
[[.,[[[[[[.,.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,1,8]=>[7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[1,7,6,5,4,3,2,8]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>[1,6,7,5,4,3,2,8]=>[1,7,6,5,4,2,3,8]=>[8,3,2,4,5,6,7,1]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>[1,5,7,6,4,3,2,8]=>[1,7,6,5,2,4,3,8]=>[8,3,4,2,5,6,7,1]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]=>[1,6,5,7,4,3,2,8]=>[1,7,6,5,3,2,4,8]=>[8,4,2,3,5,6,7,1]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>[1,5,6,7,4,3,2,8]=>[1,7,6,5,2,3,4,8]=>[8,4,3,2,5,6,7,1]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>[1,4,7,6,5,3,2,8]=>[1,7,6,2,5,4,3,8]=>[8,3,4,5,2,6,7,1]
[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>[1,4,6,7,5,3,2,8]=>[1,7,6,2,5,3,4,8]=>[8,4,3,5,2,6,7,1]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>[1,5,4,7,6,3,2,8]=>[1,7,6,3,2,5,4,8]=>[8,4,5,2,3,6,7,1]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[1,4,5,7,6,3,2,8]=>[1,7,6,2,3,5,4,8]=>[8,4,5,3,2,6,7,1]
[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]=>[1,6,5,4,7,3,2,8]=>[1,7,6,4,3,2,5,8]=>[8,5,2,3,4,6,7,1]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.]=>[1,5,6,4,7,3,2,8]=>[1,7,6,4,2,3,5,8]=>[8,5,3,2,4,6,7,1]
[[[.,.],[.,[[[.,.],[.,.]],.]]],.]=>[1,4,6,5,7,3,2,8]=>[1,7,6,2,4,3,5,8]=>[8,5,3,4,2,6,7,1]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>[1,5,4,6,7,3,2,8]=>[1,7,6,3,2,4,5,8]=>[8,5,4,2,3,6,7,1]
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[1,4,5,6,7,3,2,8]=>[1,7,6,2,3,4,5,8]=>[8,5,4,3,2,6,7,1]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[1,3,7,6,5,4,2,8]=>[1,7,2,6,5,4,3,8]=>[8,3,4,5,6,2,7,1]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>[1,3,6,7,5,4,2,8]=>[1,7,2,6,5,3,4,8]=>[8,4,3,5,6,2,7,1]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[1,3,5,7,6,4,2,8]=>[1,7,2,6,3,5,4,8]=>[8,4,5,3,6,2,7,1]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>[1,3,6,5,7,4,2,8]=>[1,7,2,6,4,3,5,8]=>[8,5,3,4,6,2,7,1]
[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>[1,3,5,6,7,4,2,8]=>[1,7,2,6,3,4,5,8]=>[8,5,4,3,6,2,7,1]
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>[1,4,3,7,6,5,2,8]=>[1,7,3,2,6,5,4,8]=>[8,4,5,6,2,3,7,1]
[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[1,3,4,6,7,5,2,8]=>[1,7,2,3,6,4,5,8]=>[8,5,4,6,3,2,7,1]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>[1,4,5,3,7,6,2,8]=>[1,7,4,2,3,6,5,8]=>[8,5,6,3,2,4,7,1]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[1,3,5,4,7,6,2,8]=>[1,7,2,4,3,6,5,8]=>[8,5,6,3,4,2,7,1]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>[1,4,3,5,7,6,2,8]=>[1,7,3,2,4,6,5,8]=>[8,5,6,4,2,3,7,1]
[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[1,3,4,5,7,6,2,8]=>[1,7,2,3,4,6,5,8]=>[8,5,6,4,3,2,7,1]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>[1,6,5,4,3,7,2,8]=>[1,7,5,4,3,2,6,8]=>[8,6,2,3,4,5,7,1]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>[1,5,6,4,3,7,2,8]=>[1,7,5,4,2,3,6,8]=>[8,6,3,2,4,5,7,1]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>[1,4,6,5,3,7,2,8]=>[1,7,5,2,4,3,6,8]=>[8,6,3,4,2,5,7,1]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>[1,5,4,6,3,7,2,8]=>[1,7,5,3,2,4,6,8]=>[8,6,4,2,3,5,7,1]
[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>[1,4,5,6,3,7,2,8]=>[1,7,5,2,3,4,6,8]=>[8,6,4,3,2,5,7,1]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>[1,3,6,5,4,7,2,8]=>[1,7,2,5,4,3,6,8]=>[8,6,3,4,5,2,7,1]
[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[1,3,5,6,4,7,2,8]=>[1,7,2,5,3,4,6,8]=>[8,6,4,3,5,2,7,1]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>[1,4,3,6,5,7,2,8]=>[1,7,3,2,5,4,6,8]=>[8,6,4,5,2,3,7,1]
[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>[1,3,4,6,5,7,2,8]=>[1,7,2,3,5,4,6,8]=>[8,6,4,5,3,2,7,1]
[[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>[1,5,4,3,6,7,2,8]=>[1,7,4,3,2,5,6,8]=>[8,6,5,2,3,4,7,1]
[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[1,4,5,3,6,7,2,8]=>[1,7,4,2,3,5,6,8]=>[8,6,5,3,2,4,7,1]
[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>[1,3,5,4,6,7,2,8]=>[1,7,2,4,3,5,6,8]=>[8,6,5,3,4,2,7,1]
[[[.,.],[[[[.,[.,.]],.],.],.]],.]=>[1,4,3,5,6,7,2,8]=>[1,7,3,2,4,5,6,8]=>[8,6,5,4,2,3,7,1]
[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[1,3,4,5,6,7,2,8]=>[1,7,2,3,4,5,6,8]=>[8,6,5,4,3,2,7,1]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[2,1,7,6,5,4,3,8]=>[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>[2,1,6,7,5,4,3,8]=>[2,1,7,6,5,3,4,8]=>[8,4,3,5,6,7,1,2]
[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>[2,1,5,7,6,4,3,8]=>[2,1,7,6,3,5,4,8]=>[8,4,5,3,6,7,1,2]
[[[.,[.,.]],[.,[[.,[.,.]],.]]],.]=>[2,1,6,5,7,4,3,8]=>[2,1,7,6,4,3,5,8]=>[8,5,3,4,6,7,1,2]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[2,1,5,6,7,4,3,8]=>[2,1,7,6,3,4,5,8]=>[8,5,4,3,6,7,1,2]
[[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[2,1,4,7,6,5,3,8]=>[2,1,7,3,6,5,4,8]=>[8,4,5,6,3,7,1,2]
[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>[2,1,4,6,7,5,3,8]=>[2,1,7,3,6,4,5,8]=>[8,5,4,6,3,7,1,2]
[[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[2,1,5,4,7,6,3,8]=>[2,1,7,4,3,6,5,8]=>[8,5,6,3,4,7,1,2]
[[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[2,1,4,5,7,6,3,8]=>[2,1,7,3,4,6,5,8]=>[8,5,6,4,3,7,1,2]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>[2,1,6,5,4,7,3,8]=>[2,1,7,5,4,3,6,8]=>[8,6,3,4,5,7,1,2]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[2,1,5,6,4,7,3,8]=>[2,1,7,5,3,4,6,8]=>[8,6,4,3,5,7,1,2]
[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>[2,1,4,6,5,7,3,8]=>[2,1,7,3,5,4,6,8]=>[8,6,4,5,3,7,1,2]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>[2,1,5,4,6,7,3,8]=>[2,1,7,4,3,5,6,8]=>[8,6,5,3,4,7,1,2]
[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[2,1,4,5,6,7,3,8]=>[2,1,7,3,4,5,6,8]=>[8,6,5,4,3,7,1,2]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[1,2,7,6,5,4,3,8]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>[1,2,6,7,5,4,3,8]=>[1,2,7,6,5,3,4,8]=>[8,4,3,5,6,7,2,1]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[1,2,5,7,6,4,3,8]=>[1,2,7,6,3,5,4,8]=>[8,4,5,3,6,7,2,1]
[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>[1,2,6,5,7,4,3,8]=>[1,2,7,6,4,3,5,8]=>[8,5,3,4,6,7,2,1]
[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[1,2,5,6,7,4,3,8]=>[1,2,7,6,3,4,5,8]=>[8,5,4,3,6,7,2,1]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[1,2,4,7,6,5,3,8]=>[1,2,7,3,6,5,4,8]=>[8,4,5,6,3,7,2,1]
[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>[1,2,4,6,7,5,3,8]=>[1,2,7,3,6,4,5,8]=>[8,5,4,6,3,7,2,1]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[1,2,5,4,7,6,3,8]=>[1,2,7,4,3,6,5,8]=>[8,5,6,3,4,7,2,1]
[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[1,2,4,5,7,6,3,8]=>[1,2,7,3,4,6,5,8]=>[8,5,6,4,3,7,2,1]
[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>[1,2,6,5,4,7,3,8]=>[1,2,7,5,4,3,6,8]=>[8,6,3,4,5,7,2,1]
[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[1,2,5,6,4,7,3,8]=>[1,2,7,5,3,4,6,8]=>[8,6,4,3,5,7,2,1]
[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[1,2,4,6,5,7,3,8]=>[1,2,7,3,5,4,6,8]=>[8,6,4,5,3,7,2,1]
[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[1,2,5,4,6,7,3,8]=>[1,2,7,4,3,5,6,8]=>[8,6,5,3,4,7,2,1]
[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[1,2,4,5,6,7,3,8]=>[1,2,7,3,4,5,6,8]=>[8,6,5,4,3,7,2,1]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[3,2,1,7,6,5,4,8]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>[3,2,1,6,7,5,4,8]=>[3,2,1,7,6,4,5,8]=>[8,5,4,6,7,1,2,3]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[3,2,1,5,7,6,4,8]=>[3,2,1,7,4,6,5,8]=>[8,5,6,4,7,1,2,3]
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>[3,2,1,6,5,7,4,8]=>[3,2,1,7,5,4,6,8]=>[8,6,4,5,7,1,2,3]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[3,2,1,5,6,7,4,8]=>[3,2,1,7,4,5,6,8]=>[8,6,5,4,7,1,2,3]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[2,3,1,7,6,5,4,8]=>[3,1,2,7,6,5,4,8]=>[8,4,5,6,7,2,1,3]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>[2,3,1,6,7,5,4,8]=>[3,1,2,7,6,4,5,8]=>[8,5,4,6,7,2,1,3]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[2,3,1,5,7,6,4,8]=>[3,1,2,7,4,6,5,8]=>[8,5,6,4,7,2,1,3]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[2,3,1,6,5,7,4,8]=>[3,1,2,7,5,4,6,8]=>[8,6,4,5,7,2,1,3]
[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[2,3,1,5,6,7,4,8]=>[3,1,2,7,4,5,6,8]=>[8,6,5,4,7,2,1,3]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[1,3,2,7,6,5,4,8]=>[1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>[1,3,2,6,7,5,4,8]=>[1,3,2,7,6,4,5,8]=>[8,5,4,6,7,2,3,1]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[1,3,2,5,7,6,4,8]=>[1,3,2,7,4,6,5,8]=>[8,5,6,4,7,2,3,1]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>[1,3,2,6,5,7,4,8]=>[1,3,2,7,5,4,6,8]=>[8,6,4,5,7,2,3,1]
[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[1,3,2,5,6,7,4,8]=>[1,3,2,7,4,5,6,8]=>[8,6,5,4,7,2,3,1]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[2,1,3,7,6,5,4,8]=>[2,1,3,7,6,5,4,8]=>[8,4,5,6,7,3,1,2]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>[2,1,3,6,7,5,4,8]=>[2,1,3,7,6,4,5,8]=>[8,5,4,6,7,3,1,2]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>[2,1,3,5,7,6,4,8]=>[2,1,3,7,4,6,5,8]=>[8,5,6,4,7,3,1,2]
[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>[2,1,3,6,5,7,4,8]=>[2,1,3,7,5,4,6,8]=>[8,6,4,5,7,3,1,2]
[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[2,1,3,5,6,7,4,8]=>[2,1,3,7,4,5,6,8]=>[8,6,5,4,7,3,1,2]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[1,2,3,7,6,5,4,8]=>[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]
[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[1,2,3,6,7,5,4,8]=>[1,2,3,7,6,4,5,8]=>[8,5,4,6,7,3,2,1]
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[1,2,3,5,7,6,4,8]=>[1,2,3,7,4,6,5,8]=>[8,5,6,4,7,3,2,1]
[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[1,2,3,6,5,7,4,8]=>[1,2,3,7,5,4,6,8]=>[8,6,4,5,7,3,2,1]
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[1,2,3,5,6,7,4,8]=>[1,2,3,7,4,5,6,8]=>[8,6,5,4,7,3,2,1]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[4,3,2,1,6,7,5,8]=>[4,3,2,1,7,5,6,8]=>[8,6,5,7,1,2,3,4]
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>[3,4,2,1,7,6,5,8]=>[4,3,1,2,7,6,5,8]=>[8,5,6,7,2,1,3,4]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>[3,4,2,1,6,7,5,8]=>[4,3,1,2,7,5,6,8]=>[8,6,5,7,2,1,3,4]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>[2,4,3,1,7,6,5,8]=>[4,1,3,2,7,6,5,8]=>[8,5,6,7,2,3,1,4]
[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>[2,4,3,1,6,7,5,8]=>[4,1,3,2,7,5,6,8]=>[8,6,5,7,2,3,1,4]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[3,2,4,1,7,6,5,8]=>[4,2,1,3,7,6,5,8]=>[8,5,6,7,3,1,2,4]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>[3,2,4,1,6,7,5,8]=>[4,2,1,3,7,5,6,8]=>[8,6,5,7,3,1,2,4]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[2,3,4,1,7,6,5,8]=>[4,1,2,3,7,6,5,8]=>[8,5,6,7,3,2,1,4]
[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[2,3,4,1,6,7,5,8]=>[4,1,2,3,7,5,6,8]=>[8,6,5,7,3,2,1,4]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[1,4,3,2,6,7,5,8]=>[1,4,3,2,7,5,6,8]=>[8,6,5,7,2,3,4,1]
[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>[1,3,4,2,7,6,5,8]=>[1,4,2,3,7,6,5,8]=>[8,5,6,7,3,2,4,1]
[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[1,3,4,2,6,7,5,8]=>[1,4,2,3,7,5,6,8]=>[8,6,5,7,3,2,4,1]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[2,1,4,3,7,6,5,8]=>[2,1,4,3,7,6,5,8]=>[8,5,6,7,3,4,1,2]
[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[2,1,4,3,6,7,5,8]=>[2,1,4,3,7,5,6,8]=>[8,6,5,7,3,4,1,2]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[1,2,4,3,7,6,5,8]=>[1,2,4,3,7,6,5,8]=>[8,5,6,7,3,4,2,1]
[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[1,2,4,3,6,7,5,8]=>[1,2,4,3,7,5,6,8]=>[8,6,5,7,3,4,2,1]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]
[[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>[3,2,1,4,6,7,5,8]=>[3,2,1,4,7,5,6,8]=>[8,6,5,7,4,1,2,3]
[[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>[2,3,1,4,7,6,5,8]=>[3,1,2,4,7,6,5,8]=>[8,5,6,7,4,2,1,3]
[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[2,3,1,4,6,7,5,8]=>[3,1,2,4,7,5,6,8]=>[8,6,5,7,4,2,1,3]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[1,3,2,4,7,6,5,8]=>[1,3,2,4,7,6,5,8]=>[8,5,6,7,4,2,3,1]
[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[1,3,2,4,6,7,5,8]=>[1,3,2,4,7,5,6,8]=>[8,6,5,7,4,2,3,1]
[[[[[.,[.,.]],.],.],[.,[.,.]]],.]=>[2,1,3,4,7,6,5,8]=>[2,1,3,4,7,6,5,8]=>[8,5,6,7,4,3,1,2]
[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>[2,1,3,4,6,7,5,8]=>[2,1,3,4,7,5,6,8]=>[8,6,5,7,4,3,1,2]
[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[1,2,3,4,7,6,5,8]=>[1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[1,2,3,4,6,7,5,8]=>[1,2,3,4,7,5,6,8]=>[8,6,5,7,4,3,2,1]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]=>[4,5,3,2,1,7,6,8]=>[5,4,3,1,2,7,6,8]=>[8,6,7,2,1,3,4,5]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>[3,5,4,2,1,7,6,8]=>[5,4,1,3,2,7,6,8]=>[8,6,7,2,3,1,4,5]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>[4,3,5,2,1,7,6,8]=>[5,4,2,1,3,7,6,8]=>[8,6,7,3,1,2,4,5]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>[3,4,5,2,1,7,6,8]=>[5,4,1,2,3,7,6,8]=>[8,6,7,3,2,1,4,5]
[[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>[2,5,4,3,1,7,6,8]=>[5,1,4,3,2,7,6,8]=>[8,6,7,2,3,4,1,5]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>[2,4,5,3,1,7,6,8]=>[5,1,4,2,3,7,6,8]=>[8,6,7,3,2,4,1,5]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[3,2,5,4,1,7,6,8]=>[5,2,1,4,3,7,6,8]=>[8,6,7,3,4,1,2,5]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[2,3,5,4,1,7,6,8]=>[5,1,2,4,3,7,6,8]=>[8,6,7,3,4,2,1,5]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]=>[4,3,2,5,1,7,6,8]=>[5,3,2,1,4,7,6,8]=>[8,6,7,4,1,2,3,5]
[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>[3,4,2,5,1,7,6,8]=>[5,3,1,2,4,7,6,8]=>[8,6,7,4,2,1,3,5]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>[2,4,3,5,1,7,6,8]=>[5,1,3,2,4,7,6,8]=>[8,6,7,4,2,3,1,5]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.]=>[3,2,4,5,1,7,6,8]=>[5,2,1,3,4,7,6,8]=>[8,6,7,4,3,1,2,5]
[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[2,3,4,5,1,7,6,8]=>[5,1,2,3,4,7,6,8]=>[8,6,7,4,3,2,1,5]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>[1,5,4,3,2,7,6,8]=>[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>[1,4,5,3,2,7,6,8]=>[1,5,4,2,3,7,6,8]=>[8,6,7,3,2,4,5,1]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[1,3,5,4,2,7,6,8]=>[1,5,2,4,3,7,6,8]=>[8,6,7,3,4,2,5,1]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[1,4,3,5,2,7,6,8]=>[1,5,3,2,4,7,6,8]=>[8,6,7,4,2,3,5,1]
[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[1,3,4,5,2,7,6,8]=>[1,5,2,3,4,7,6,8]=>[8,6,7,4,3,2,5,1]
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>[2,1,5,4,3,7,6,8]=>[2,1,5,4,3,7,6,8]=>[8,6,7,3,4,5,1,2]
[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[2,1,4,5,3,7,6,8]=>[2,1,5,3,4,7,6,8]=>[8,6,7,4,3,5,1,2]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[1,2,5,4,3,7,6,8]=>[1,2,5,4,3,7,6,8]=>[8,6,7,3,4,5,2,1]
[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[1,2,4,5,3,7,6,8]=>[1,2,5,3,4,7,6,8]=>[8,6,7,4,3,5,2,1]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[3,2,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[2,3,1,5,4,7,6,8]=>[3,1,2,5,4,7,6,8]=>[8,6,7,4,5,2,1,3]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[2,1,3,5,4,7,6,8]=>[2,1,3,5,4,7,6,8]=>[8,6,7,4,5,3,1,2]
[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]
[[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>[3,4,2,1,5,7,6,8]=>[4,3,1,2,5,7,6,8]=>[8,6,7,5,2,1,3,4]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>[2,4,3,1,5,7,6,8]=>[4,1,3,2,5,7,6,8]=>[8,6,7,5,2,3,1,4]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>[3,2,4,1,5,7,6,8]=>[4,2,1,3,5,7,6,8]=>[8,6,7,5,3,1,2,4]
[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[2,3,4,1,5,7,6,8]=>[4,1,2,3,5,7,6,8]=>[8,6,7,5,3,2,1,4]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[1,4,3,2,5,7,6,8]=>[1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]
[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[1,3,4,2,5,7,6,8]=>[1,4,2,3,5,7,6,8]=>[8,6,7,5,3,2,4,1]
[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>[2,1,4,3,5,7,6,8]=>[2,1,4,3,5,7,6,8]=>[8,6,7,5,3,4,1,2]
[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[1,2,4,3,5,7,6,8]=>[1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>[3,2,1,4,5,7,6,8]=>[3,2,1,4,5,7,6,8]=>[8,6,7,5,4,1,2,3]
[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[2,3,1,4,5,7,6,8]=>[3,1,2,4,5,7,6,8]=>[8,6,7,5,4,2,1,3]
[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]
[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>[2,1,3,4,5,7,6,8]=>[2,1,3,4,5,7,6,8]=>[8,6,7,5,4,3,1,2]
[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>[5,6,4,3,2,1,7,8]=>[6,5,4,3,1,2,7,8]=>[8,7,2,1,3,4,5,6]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]=>[4,6,5,3,2,1,7,8]=>[6,5,4,1,3,2,7,8]=>[8,7,2,3,1,4,5,6]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>[5,4,6,3,2,1,7,8]=>[6,5,4,2,1,3,7,8]=>[8,7,3,1,2,4,5,6]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[6,5,4,1,2,3,7,8]=>[8,7,3,2,1,4,5,6]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[3,6,5,4,2,1,7,8]=>[6,5,1,4,3,2,7,8]=>[8,7,2,3,4,1,5,6]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.]=>[3,5,6,4,2,1,7,8]=>[6,5,1,4,2,3,7,8]=>[8,7,3,2,4,1,5,6]
[[[.,[.,[[.,[.,.]],[.,.]]]],.],.]=>[4,3,6,5,2,1,7,8]=>[6,5,2,1,4,3,7,8]=>[8,7,3,4,1,2,5,6]
[[[.,[.,[[[.,.],.],[.,.]]]],.],.]=>[3,4,6,5,2,1,7,8]=>[6,5,1,2,4,3,7,8]=>[8,7,3,4,2,1,5,6]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>[5,4,3,6,2,1,7,8]=>[6,5,3,2,1,4,7,8]=>[8,7,4,1,2,3,5,6]
[[[.,[.,[[.,[[.,.],.]],.]]],.],.]=>[4,5,3,6,2,1,7,8]=>[6,5,3,1,2,4,7,8]=>[8,7,4,2,1,3,5,6]
[[[.,[.,[[[.,.],[.,.]],.]]],.],.]=>[3,5,4,6,2,1,7,8]=>[6,5,1,3,2,4,7,8]=>[8,7,4,2,3,1,5,6]
[[[.,[.,[[[.,[.,.]],.],.]]],.],.]=>[4,3,5,6,2,1,7,8]=>[6,5,2,1,3,4,7,8]=>[8,7,4,3,1,2,5,6]
[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[6,5,1,2,3,4,7,8]=>[8,7,4,3,2,1,5,6]
[[[.,[[.,.],[.,[.,[.,.]]]]],.],.]=>[2,6,5,4,3,1,7,8]=>[6,1,5,4,3,2,7,8]=>[8,7,2,3,4,5,1,6]
[[[.,[[.,.],[.,[[.,.],.]]]],.],.]=>[2,5,6,4,3,1,7,8]=>[6,1,5,4,2,3,7,8]=>[8,7,3,2,4,5,1,6]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>[2,4,6,5,3,1,7,8]=>[6,1,5,2,4,3,7,8]=>[8,7,3,4,2,5,1,6]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>[2,5,4,6,3,1,7,8]=>[6,1,5,3,2,4,7,8]=>[8,7,4,2,3,5,1,6]
[[[.,[[.,.],[[[.,.],.],.]]],.],.]=>[2,4,5,6,3,1,7,8]=>[6,1,5,2,3,4,7,8]=>[8,7,4,3,2,5,1,6]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]=>[3,2,6,5,4,1,7,8]=>[6,2,1,5,4,3,7,8]=>[8,7,3,4,5,1,2,6]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>[3,2,5,6,4,1,7,8]=>[6,2,1,5,3,4,7,8]=>[8,7,4,3,5,1,2,6]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[2,3,6,5,4,1,7,8]=>[6,1,2,5,4,3,7,8]=>[8,7,3,4,5,2,1,6]
[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>[2,3,5,6,4,1,7,8]=>[6,1,2,5,3,4,7,8]=>[8,7,4,3,5,2,1,6]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[4,3,2,6,5,1,7,8]=>[6,3,2,1,5,4,7,8]=>[8,7,4,5,1,2,3,6]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.]=>[3,4,2,6,5,1,7,8]=>[6,3,1,2,5,4,7,8]=>[8,7,4,5,2,1,3,6]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.]=>[2,4,3,6,5,1,7,8]=>[6,1,3,2,5,4,7,8]=>[8,7,4,5,2,3,1,6]
[[[.,[[[[.,.],.],.],[.,.]]],.],.]=>[2,3,4,6,5,1,7,8]=>[6,1,2,3,5,4,7,8]=>[8,7,4,5,3,2,1,6]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[6,4,3,2,1,5,7,8]=>[8,7,5,1,2,3,4,6]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[6,4,3,1,2,5,7,8]=>[8,7,5,2,1,3,4,6]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.]=>[3,5,4,2,6,1,7,8]=>[6,4,1,3,2,5,7,8]=>[8,7,5,2,3,1,4,6]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.]=>[4,3,5,2,6,1,7,8]=>[6,4,2,1,3,5,7,8]=>[8,7,5,3,1,2,4,6]
[[[.,[[.,[[[.,.],.],.]],.]],.],.]=>[3,4,5,2,6,1,7,8]=>[6,4,1,2,3,5,7,8]=>[8,7,5,3,2,1,4,6]
[[[.,[[[.,.],[.,[.,.]]],.]],.],.]=>[2,5,4,3,6,1,7,8]=>[6,1,4,3,2,5,7,8]=>[8,7,5,2,3,4,1,6]
[[[.,[[[.,.],[[.,.],.]],.]],.],.]=>[2,4,5,3,6,1,7,8]=>[6,1,4,2,3,5,7,8]=>[8,7,5,3,2,4,1,6]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>[3,2,5,4,6,1,7,8]=>[6,2,1,4,3,5,7,8]=>[8,7,5,3,4,1,2,6]
[[[.,[[[[.,.],.],[.,.]],.]],.],.]=>[2,3,5,4,6,1,7,8]=>[6,1,2,4,3,5,7,8]=>[8,7,5,3,4,2,1,6]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.]=>[4,3,2,5,6,1,7,8]=>[6,3,2,1,4,5,7,8]=>[8,7,5,4,1,2,3,6]
[[[.,[[[.,[[.,.],.]],.],.]],.],.]=>[3,4,2,5,6,1,7,8]=>[6,3,1,2,4,5,7,8]=>[8,7,5,4,2,1,3,6]
[[[.,[[[[.,.],[.,.]],.],.]],.],.]=>[2,4,3,5,6,1,7,8]=>[6,1,3,2,4,5,7,8]=>[8,7,5,4,2,3,1,6]
[[[.,[[[[.,[.,.]],.],.],.]],.],.]=>[3,2,4,5,6,1,7,8]=>[6,2,1,3,4,5,7,8]=>[8,7,5,4,3,1,2,6]
[[[.,[[[[[.,.],.],.],.],.]],.],.]=>[2,3,4,5,6,1,7,8]=>[6,1,2,3,4,5,7,8]=>[8,7,5,4,3,2,1,6]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[1,6,5,4,3,2,7,8]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[1,5,6,4,3,2,7,8]=>[1,6,5,4,2,3,7,8]=>[8,7,3,2,4,5,6,1]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>[1,4,6,5,3,2,7,8]=>[1,6,5,2,4,3,7,8]=>[8,7,3,4,2,5,6,1]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[1,5,4,6,3,2,7,8]=>[1,6,5,3,2,4,7,8]=>[8,7,4,2,3,5,6,1]
[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>[1,4,5,6,3,2,7,8]=>[1,6,5,2,3,4,7,8]=>[8,7,4,3,2,5,6,1]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[1,3,6,5,4,2,7,8]=>[1,6,2,5,4,3,7,8]=>[8,7,3,4,5,2,6,1]
[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[1,3,5,6,4,2,7,8]=>[1,6,2,5,3,4,7,8]=>[8,7,4,3,5,2,6,1]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[1,4,3,6,5,2,7,8]=>[1,6,3,2,5,4,7,8]=>[8,7,4,5,2,3,6,1]
[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>[1,3,4,6,5,2,7,8]=>[1,6,2,3,5,4,7,8]=>[8,7,4,5,3,2,6,1]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[1,5,4,3,6,2,7,8]=>[1,6,4,3,2,5,7,8]=>[8,7,5,2,3,4,6,1]
[[[[.,.],[[.,[[.,.],.]],.]],.],.]=>[1,4,5,3,6,2,7,8]=>[1,6,4,2,3,5,7,8]=>[8,7,5,3,2,4,6,1]
[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>[1,3,5,4,6,2,7,8]=>[1,6,2,4,3,5,7,8]=>[8,7,5,3,4,2,6,1]
[[[[.,.],[[[.,[.,.]],.],.]],.],.]=>[1,4,3,5,6,2,7,8]=>[1,6,3,2,4,5,7,8]=>[8,7,5,4,2,3,6,1]
[[[[.,.],[[[[.,.],.],.],.]],.],.]=>[1,3,4,5,6,2,7,8]=>[1,6,2,3,4,5,7,8]=>[8,7,5,4,3,2,6,1]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>[2,1,6,5,4,3,7,8]=>[2,1,6,5,4,3,7,8]=>[8,7,3,4,5,6,1,2]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[2,1,5,6,4,3,7,8]=>[2,1,6,5,3,4,7,8]=>[8,7,4,3,5,6,1,2]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[2,1,4,6,5,3,7,8]=>[2,1,6,3,5,4,7,8]=>[8,7,4,5,3,6,1,2]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[2,1,5,4,6,3,7,8]=>[2,1,6,4,3,5,7,8]=>[8,7,5,3,4,6,1,2]
[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>[2,1,4,5,6,3,7,8]=>[2,1,6,3,4,5,7,8]=>[8,7,5,4,3,6,1,2]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[1,2,6,5,4,3,7,8]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]
[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>[1,2,5,6,4,3,7,8]=>[1,2,6,5,3,4,7,8]=>[8,7,4,3,5,6,2,1]
[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[1,2,4,6,5,3,7,8]=>[1,2,6,3,5,4,7,8]=>[8,7,4,5,3,6,2,1]
[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>[1,2,5,4,6,3,7,8]=>[1,2,6,4,3,5,7,8]=>[8,7,5,3,4,6,2,1]
[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[1,2,4,5,6,3,7,8]=>[1,2,6,3,4,5,7,8]=>[8,7,5,4,3,6,2,1]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>[3,2,1,6,5,4,7,8]=>[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[3,2,1,5,6,4,7,8]=>[3,2,1,6,4,5,7,8]=>[8,7,5,4,6,1,2,3]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>[2,3,1,6,5,4,7,8]=>[3,1,2,6,5,4,7,8]=>[8,7,4,5,6,2,1,3]
[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[2,3,1,5,6,4,7,8]=>[3,1,2,6,4,5,7,8]=>[8,7,5,4,6,2,1,3]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>[1,3,2,6,5,4,7,8]=>[1,3,2,6,5,4,7,8]=>[8,7,4,5,6,2,3,1]
[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[1,3,2,5,6,4,7,8]=>[1,3,2,6,4,5,7,8]=>[8,7,5,4,6,2,3,1]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>[2,1,3,6,5,4,7,8]=>[2,1,3,6,5,4,7,8]=>[8,7,4,5,6,3,1,2]
[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>[2,1,3,5,6,4,7,8]=>[2,1,3,6,4,5,7,8]=>[8,7,5,4,6,3,1,2]
[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[1,2,3,6,5,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,4,5,6,3,2,1]
[[[[[[.,.],.],.],[[.,.],.]],.],.]=>[1,2,3,5,6,4,7,8]=>[1,2,3,6,4,5,7,8]=>[8,7,5,4,6,3,2,1]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]
[[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>[3,4,2,1,6,5,7,8]=>[4,3,1,2,6,5,7,8]=>[8,7,5,6,2,1,3,4]
[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>[2,4,3,1,6,5,7,8]=>[4,1,3,2,6,5,7,8]=>[8,7,5,6,2,3,1,4]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[3,2,4,1,6,5,7,8]=>[4,2,1,3,6,5,7,8]=>[8,7,5,6,3,1,2,4]
[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[2,3,4,1,6,5,7,8]=>[4,1,2,3,6,5,7,8]=>[8,7,5,6,3,2,1,4]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[1,4,3,2,6,5,7,8]=>[1,4,3,2,6,5,7,8]=>[8,7,5,6,2,3,4,1]
[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>[1,3,4,2,6,5,7,8]=>[1,4,2,3,6,5,7,8]=>[8,7,5,6,3,2,4,1]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[2,1,4,3,6,5,7,8]=>[2,1,4,3,6,5,7,8]=>[8,7,5,6,3,4,1,2]
[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[3,2,1,4,6,5,7,8]=>[3,2,1,4,6,5,7,8]=>[8,7,5,6,4,1,2,3]
[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>[2,3,1,4,6,5,7,8]=>[3,1,2,4,6,5,7,8]=>[8,7,5,6,4,2,1,3]
[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[1,3,2,4,6,5,7,8]=>[1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]
[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[2,1,3,4,6,5,7,8]=>[2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]
[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[1,2,3,4,6,5,7,8]=>[1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[5,4,3,1,2,6,7,8]=>[8,7,6,2,1,3,4,5]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[3,5,4,2,1,6,7,8]=>[5,4,1,3,2,6,7,8]=>[8,7,6,2,3,1,4,5]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[5,4,2,1,3,6,7,8]=>[8,7,6,3,1,2,4,5]
[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[5,4,1,2,3,6,7,8]=>[8,7,6,3,2,1,4,5]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[2,5,4,3,1,6,7,8]=>[5,1,4,3,2,6,7,8]=>[8,7,6,2,3,4,1,5]
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[2,4,5,3,1,6,7,8]=>[5,1,4,2,3,6,7,8]=>[8,7,6,3,2,4,1,5]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[3,2,5,4,1,6,7,8]=>[5,2,1,4,3,6,7,8]=>[8,7,6,3,4,1,2,5]
[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[2,3,5,4,1,6,7,8]=>[5,1,2,4,3,6,7,8]=>[8,7,6,3,4,2,1,5]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[5,3,2,1,4,6,7,8]=>[8,7,6,4,1,2,3,5]
[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[5,3,1,2,4,6,7,8]=>[8,7,6,4,2,1,3,5]
[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[2,4,3,5,1,6,7,8]=>[5,1,3,2,4,6,7,8]=>[8,7,6,4,2,3,1,5]
[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[5,2,1,3,4,6,7,8]=>[8,7,6,4,3,1,2,5]
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>[8,7,6,4,3,2,1,5]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[1,5,4,3,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]
[[[[[.,.],[.,[[.,.],.]]],.],.],.]=>[1,4,5,3,2,6,7,8]=>[1,5,4,2,3,6,7,8]=>[8,7,6,3,2,4,5,1]
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[1,3,5,4,2,6,7,8]=>[1,5,2,4,3,6,7,8]=>[8,7,6,3,4,2,5,1]
[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>[1,4,3,5,2,6,7,8]=>[1,5,3,2,4,6,7,8]=>[8,7,6,4,2,3,5,1]
[[[[[.,.],[[[.,.],.],.]],.],.],.]=>[1,3,4,5,2,6,7,8]=>[1,5,2,3,4,6,7,8]=>[8,7,6,4,3,2,5,1]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[2,1,5,4,3,6,7,8]=>[2,1,5,4,3,6,7,8]=>[8,7,6,3,4,5,1,2]
[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>[2,1,4,5,3,6,7,8]=>[2,1,5,3,4,6,7,8]=>[8,7,6,4,3,5,1,2]
[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[1,2,5,4,3,6,7,8]=>[1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]
[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[1,2,4,5,3,6,7,8]=>[1,2,5,3,4,6,7,8]=>[8,7,6,4,3,5,2,1]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[3,2,1,5,4,6,7,8]=>[3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]
[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[2,3,1,5,4,6,7,8]=>[3,1,2,5,4,6,7,8]=>[8,7,6,4,5,2,1,3]
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]
[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[2,1,3,5,4,6,7,8]=>[2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]
[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>[8,7,6,5,2,1,3,4]
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[2,4,3,1,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[8,7,6,5,2,3,1,4]
[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>[8,7,6,5,3,1,2,4]
[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[8,7,6,5,3,2,1,4]
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[1,4,3,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[1,3,4,2,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[8,7,6,5,3,2,4,1]
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[2,1,4,3,5,6,7,8]=>[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]
[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[1,2,4,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,6,5,3,4,2,1]
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]
[[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3]
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]
[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]
[[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[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]=>[1,2,3,4,5,6,7,8,9]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[8,9,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>[7,8,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]=>[6,7,8,9,5,4,3,2,1]=>[9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9]
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]=>[5,6,7,8,9,4,3,2,1]=>[9,8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8,9]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]=>[4,5,6,7,8,9,3,2,1]=>[9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,2,1]=>[9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[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]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[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]=>[1,2,3,4,5,6,7,8,9,10]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>[9,10,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]=>[7,9,8,6,5,4,3,2,1]=>[9,8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8,9]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]=>[8,9,10,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,10]
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]=>[6,8,9,7,5,4,3,2,1]=>[9,8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8,9]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]]=>[7,8,9,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8,9,10]
[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]]=>[5,7,8,9,6,4,3,2,1]=>[9,8,7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7,8,9]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]=>[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]
[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]]=>[4,6,7,8,9,5,3,2,1]=>[9,8,7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7,8,9]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]]=>[5,6,7,8,9,10,4,3,2,1]=>[10,9,8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8,9,10]
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]]=>[3,5,6,7,8,9,4,2,1]=>[9,8,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,8,9]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]]=>[4,5,6,7,8,9,10,3,2,1]=>[10,9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9,10]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>[2,4,5,6,7,8,9,3,1]=>[9,1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1,9]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,10,2,1]=>[10,9,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,9,10]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,9,2]=>[1,9,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,9,1]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,1]=>[10,1,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,1,10]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[8,7,9,6,5,4,3,2,1]=>[9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]=>[8,7,6,9,5,4,3,2,1]=>[9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]=>[8,7,6,5,9,4,3,2,1]=>[9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]=>[8,7,6,5,4,9,3,2,1]=>[9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]=>[8,7,6,5,4,3,9,2,1]=>[9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[8,7,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>[9,8,10,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]=>[6,8,7,9,5,4,3,2,1]=>[9,8,7,6,5,1,3,2,4]=>[4,2,3,1,5,6,7,8,9]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]=>[9,8,7,10,6,5,4,3,2,1]=>[10,9,8,7,6,5,3,2,1,4]=>[4,1,2,3,5,6,7,8,9,10]
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]=>[5,8,7,6,9,4,3,2,1]=>[9,8,7,6,1,4,3,2,5]=>[5,2,3,4,1,6,7,8,9]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]=>[9,8,7,6,10,5,4,3,2,1]=>[10,9,8,7,6,4,3,2,1,5]=>[5,1,2,3,4,6,7,8,9,10]
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]=>[4,8,7,6,5,9,3,2,1]=>[9,8,7,1,5,4,3,2,6]=>[6,2,3,4,5,1,7,8,9]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]=>[9,8,7,6,5,10,4,3,2,1]=>[10,9,8,7,5,4,3,2,1,6]=>[6,1,2,3,4,5,7,8,9,10]
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]=>[3,8,7,6,5,4,9,2,1]=>[9,8,1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1,8,9]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]=>[9,8,7,6,5,4,10,3,2,1]=>[10,9,8,6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6,8,9,10]
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]=>[2,8,7,6,5,4,3,9,1]=>[9,1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1,9]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]=>[9,8,7,6,5,4,3,10,2,1]=>[10,9,7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7,9,10]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[1,8,7,6,5,4,3,2,9]=>[1,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,1]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[9,8,7,6,5,4,3,2,10,1]=>[10,8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8,10]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>[1,3,5,7,9,10,8,6,4,2]=>[1,10,2,9,3,8,4,7,5,6]=>[6,5,7,4,8,3,9,2,10,1]
[[.,.],[[.,[[.,.],[[.,.],[[.,.],.]]]],.]]=>[1,4,6,8,9,7,5,3,10,2]=>[1,10,8,2,7,3,6,4,5,9]=>[9,5,4,6,3,7,2,8,10,1]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]=>[1,6,7,5,8,4,9,3,10,2]=>[1,10,8,6,4,2,3,5,7,9]=>[9,7,5,3,2,4,6,8,10,1]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]=>[5,6,4,7,3,8,2,9,1,10]=>[9,7,5,3,1,2,4,6,8,10]=>[10,8,6,4,2,1,3,5,7,9]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]]=>[1,3,5,7,9,11,12,10,8,6,4,2]=>[1,12,2,11,3,10,4,9,5,8,6,7]=>[7,6,8,5,9,4,10,3,11,2,12,1]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,10,9,1]=>[10,1,3,2,5,4,7,6,9,8]=>[8,9,6,7,4,5,2,3,1,10]
[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,1,4,6,5,8,7,10,9,3]=>[2,1,10,3,5,4,7,6,9,8]=>[8,9,6,7,4,5,3,10,1,2]
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]]=>[2,1,4,6,5,8,7,3,10,9]=>[2,1,8,3,5,4,7,6,10,9]=>[9,10,6,7,4,5,3,8,1,2]
[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,1,4,6,5,3,8,10,9,7]=>[2,1,6,3,5,4,10,7,9,8]=>[8,9,7,10,4,5,3,6,1,2]
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,1,4,6,5,3,8,7,10,9]=>[2,1,6,3,5,4,8,7,10,9]=>[9,10,7,8,4,5,3,6,1,2]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,9,8,1,10]=>[9,2,1,4,3,6,5,8,7,10]=>[10,7,8,5,6,3,4,1,2,9]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7,10,9]=>[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]
[.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,10,9,12,11,1]=>[12,1,3,2,5,4,7,6,9,8,11,10]=>[10,11,8,9,6,7,4,5,2,3,1,12]
[[.,[.,.]],[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]=>[2,1,4,6,5,8,7,10,9,12,11,3]=>[2,1,12,3,5,4,7,6,9,8,11,10]=>[10,11,8,9,6,7,4,5,3,12,1,2]
[[[.,[.,.]],[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]]=>[2,1,4,6,5,8,7,10,9,3,12,11]=>[2,1,10,3,5,4,7,6,9,8,12,11]=>[11,12,8,9,6,7,4,5,3,10,1,2]
[[[.,[.,.]],[[.,.],[.,.]]],[[[.,.],[.,.]],[.,.]]]=>[2,1,4,6,5,3,8,10,9,12,11,7]=>[2,1,6,3,5,4,12,7,9,8,11,10]=>[10,11,8,9,7,12,4,5,3,6,1,2]
[[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[.,.]],[.,.]]=>[2,1,4,6,5,8,7,3,10,9,12,11]=>[2,1,8,3,5,4,7,6,10,9,12,11]=>[11,12,9,10,6,7,4,5,3,8,1,2]
[[[.,[.,.]],[[[.,.],[.,.]],[.,.]]],[[.,.],[.,.]]]=>[2,1,4,6,5,8,7,3,10,12,11,9]=>[2,1,8,3,5,4,7,6,12,9,11,10]=>[10,11,9,12,6,7,4,5,3,8,1,2]
[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3,8,7,10,12,11,9]=>[2,1,6,3,5,4,8,7,12,9,11,10]=>[10,11,9,12,7,8,4,5,3,6,1,2]
[[[[.,[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,6,5,3,8,10,9,7,12,11]=>[2,1,6,3,5,4,10,7,9,8,12,11]=>[11,12,8,9,7,10,4,5,3,6,1,2]
[[[[[.,[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]=>[2,1,4,6,5,3,8,7,10,9,12,11]=>[2,1,6,3,5,4,8,7,10,9,12,11]=>[11,12,9,10,7,8,4,5,3,6,1,2]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,9,8,11,10,1,12]=>[11,2,1,4,3,6,5,8,7,10,9,12]=>[12,9,10,7,8,5,6,3,4,1,2,11]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,4,1,2]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,2,1]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,7,9,8]=>[2,1,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,1,2]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,1]=>[9,2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2,9]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[10,11,9,8,7,6,5,4,3,2,1]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,7,8,10,9]=>[2,1,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,1,2]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>[1,3,2,4,5,6,7,9,8]=>[1,3,2,4,5,6,7,9,8]=>[8,9,7,6,5,4,2,3,1]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>[2,3,1,4,5,6,7,9,8]=>[3,1,2,4,5,6,7,9,8]=>[8,9,7,6,5,4,2,1,3]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]]=>[2,4,3,5,6,7,8,9,1]=>[9,1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1,9]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>[3,4,2,5,6,7,8,9,1]=>[9,3,1,2,4,5,6,7,8]=>[8,7,6,5,4,2,1,3,9]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,10,1]=>[10,2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2,10]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,11,1]=>[11,1,2,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,2,1,11]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,2,1]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,9,6,7,8]=>[8,7,6,9,5,4,3,2,1]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,9,5,6,7,8]=>[8,7,6,5,9,4,3,2,1]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,9,4,5,6,7,8]=>[8,7,6,5,4,9,3,2,1]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>[1,2,4,5,6,7,8,9,3]=>[1,2,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,2,1]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,9,8,7]=>[7,8,9,6,5,4,3,2,1]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,10,8,9]=>[9,8,10,7,6,5,4,3,2,1]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,9,7,6,8]=>[8,6,7,9,5,4,3,2,1]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,10,7,8,9]=>[9,8,7,10,6,5,4,3,2,1]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,4,7,6,8,9,5]=>[1,2,3,4,9,6,5,7,8]=>[8,7,5,6,9,4,3,2,1]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,10,6,7,8,9]=>[9,8,7,6,10,5,4,3,2,1]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]]=>[1,2,3,6,5,7,8,9,4]=>[1,2,3,9,5,4,6,7,8]=>[8,7,6,4,5,9,3,2,1]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,10,5,6,7,8,9]=>[9,8,7,6,5,10,4,3,2,1]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]]=>[1,2,5,4,6,7,8,9,3]=>[1,2,9,4,3,5,6,7,8]=>[8,7,6,5,3,4,9,2,1]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,10,4,5,6,7,8,9]=>[9,8,7,6,5,4,10,3,2,1]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]=>[1,4,3,5,6,7,8,9,2]=>[1,9,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,9,1]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,10,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,10,2,1]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,9,10,2]=>[1,10,2,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,2,10,1]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[1,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]=>[7,8,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,1,2,9]=>[9,2,1,3,4,5,6,7,8]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[1,8,9,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,1]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[1,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,1]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]=>[8,9,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,1,2,10]=>[10,2,1,3,4,5,6,7,8,9]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]=>[7,6,8,5,4,3,2,1,9]=>[8,7,6,5,4,2,1,3,9]=>[9,3,1,2,4,5,6,7,8]
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[1,8,7,9,6,5,4,3,2]=>[1,9,8,7,6,5,3,2,4]=>[4,2,3,5,6,7,8,9,1]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[1,9,10,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,9,10,1]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,10,11,1]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]=>[6,5,7,4,8,3,9,2,10,1]=>[10,8,6,4,2,1,3,5,7,9]=>[9,7,5,3,1,2,4,6,8,10]
[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]]=>[5,4,7,6,8,3,9,2,10,1]=>[10,8,6,2,1,4,3,5,7,9]=>[9,7,5,3,4,1,2,6,8,10]
[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]=>[4,3,7,6,8,5,9,2,10,1]=>[10,8,2,1,6,4,3,5,7,9]=>[9,7,5,3,4,6,1,2,8,10]
[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]]=>[5,4,6,3,8,7,9,2,10,1]=>[10,8,4,2,1,3,6,5,7,9]=>[9,7,5,6,3,1,2,4,8,10]
[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]]=>[4,3,6,5,8,7,9,2,10,1]=>[10,8,2,1,4,3,6,5,7,9]=>[9,7,5,6,3,4,1,2,8,10]
[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]]=>[3,2,7,6,8,5,9,4,10,1]=>[10,2,1,8,6,4,3,5,7,9]=>[9,7,5,3,4,6,8,1,2,10]
[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]]=>[3,2,6,5,8,7,9,4,10,1]=>[10,2,1,8,4,3,6,5,7,9]=>[9,7,5,6,3,4,8,1,2,10]
[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]]=>[4,3,5,2,8,7,9,6,10,1]=>[10,4,2,1,3,8,6,5,7,9]=>[9,7,5,6,8,3,1,2,4,10]
[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]]=>[3,2,5,4,8,7,9,6,10,1]=>[10,2,1,4,3,8,6,5,7,9]=>[9,7,5,6,8,3,4,1,2,10]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]]=>[5,4,6,3,7,2,9,8,10,1]=>[10,6,4,2,1,3,5,8,7,9]=>[9,7,8,5,3,1,2,4,6,10]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]=>[4,3,6,5,7,2,9,8,10,1]=>[10,6,2,1,4,3,5,8,7,9]=>[9,7,8,5,3,4,1,2,6,10]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]=>[3,2,6,5,7,4,9,8,10,1]=>[10,2,1,6,4,3,5,8,7,9]=>[9,7,8,5,3,4,6,1,2,10]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]=>[4,3,5,2,7,6,9,8,10,1]=>[10,4,2,1,3,6,5,8,7,9]=>[9,7,8,5,6,3,1,2,4,10]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,9,8,10,1]=>[10,2,1,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,1,2,10]
[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[2,1,7,6,8,5,9,4,10,3]=>[2,1,10,8,6,4,3,5,7,9]=>[9,7,5,3,4,6,8,10,1,2]
[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[2,1,6,5,8,7,9,4,10,3]=>[2,1,10,8,4,3,6,5,7,9]=>[9,7,5,6,3,4,8,10,1,2]
[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[2,1,5,4,8,7,9,6,10,3]=>[2,1,10,4,3,8,6,5,7,9]=>[9,7,5,6,8,3,4,10,1,2]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[2,1,6,5,7,4,9,8,10,3]=>[2,1,10,6,4,3,5,8,7,9]=>[9,7,8,5,3,4,6,10,1,2]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,9,8,10,3]=>[2,1,10,4,3,6,5,8,7,9]=>[9,7,8,5,6,3,4,10,1,2]
[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]]=>[3,2,4,1,8,7,9,6,10,5]=>[4,2,1,3,10,8,6,5,7,9]=>[9,7,5,6,8,10,3,1,2,4]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]]=>[3,2,4,1,7,6,9,8,10,5]=>[4,2,1,3,10,6,5,8,7,9]=>[9,7,8,5,6,10,3,1,2,4]
[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]]=>[2,1,4,3,8,7,9,6,10,5]=>[2,1,4,3,10,8,6,5,7,9]=>[9,7,5,6,8,10,3,4,1,2]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,4,3,7,6,9,8,10,5]=>[2,1,4,3,10,6,5,8,7,9]=>[9,7,8,5,6,10,3,4,1,2]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]]=>[4,3,5,2,6,1,9,8,10,7]=>[6,4,2,1,3,5,10,8,7,9]=>[9,7,8,10,5,3,1,2,4,6]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]]=>[3,2,5,4,6,1,9,8,10,7]=>[6,2,1,4,3,5,10,8,7,9]=>[9,7,8,10,5,3,4,1,2,6]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3,9,8,10,7]=>[2,1,6,4,3,5,10,8,7,9]=>[9,7,8,10,5,3,4,6,1,2]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]]=>[3,2,4,1,6,5,9,8,10,7]=>[4,2,1,3,6,5,10,8,7,9]=>[9,7,8,10,5,6,3,1,2,4]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,6,5,9,8,10,7]=>[2,1,4,3,6,5,10,8,7,9]=>[9,7,8,10,5,6,3,4,1,2]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]=>[5,4,6,3,7,2,8,1,10,9]=>[8,6,4,2,1,3,5,7,10,9]=>[9,10,7,5,3,1,2,4,6,8]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]]=>[4,3,6,5,7,2,8,1,10,9]=>[8,6,2,1,4,3,5,7,10,9]=>[9,10,7,5,3,4,1,2,6,8]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]]=>[3,2,6,5,7,4,8,1,10,9]=>[8,2,1,6,4,3,5,7,10,9]=>[9,10,7,5,3,4,6,1,2,8]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]=>[4,3,5,2,7,6,8,1,10,9]=>[8,4,2,1,3,6,5,7,10,9]=>[9,10,7,5,6,3,1,2,4,8]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]=>[3,2,5,4,7,6,8,1,10,9]=>[8,2,1,4,3,6,5,7,10,9]=>[9,10,7,5,6,3,4,1,2,8]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]]=>[2,1,6,5,7,4,8,3,10,9]=>[2,1,8,6,4,3,5,7,10,9]=>[9,10,7,5,3,4,6,8,1,2]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]=>[2,1,5,4,7,6,8,3,10,9]=>[2,1,8,4,3,6,5,7,10,9]=>[9,10,7,5,6,3,4,8,1,2]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,7,6,8,5,10,9]=>[4,2,1,3,8,6,5,7,10,9]=>[9,10,7,5,6,8,3,1,2,4]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]=>[2,1,4,3,7,6,8,5,10,9]=>[2,1,4,3,8,6,5,7,10,9]=>[9,10,7,5,6,8,3,4,1,2]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]]=>[4,3,5,2,6,1,8,7,10,9]=>[6,4,2,1,3,5,8,7,10,9]=>[9,10,7,8,5,3,1,2,4,6]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]]=>[3,2,5,4,6,1,8,7,10,9]=>[6,2,1,4,3,5,8,7,10,9]=>[9,10,7,8,5,3,4,1,2,6]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]]=>[2,1,5,4,6,3,8,7,10,9]=>[2,1,6,4,3,5,8,7,10,9]=>[9,10,7,8,5,3,4,6,1,2]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7,10,9]=>[4,2,1,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,1,2,4]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>[12,10,8,6,4,2,1,3,5,7,9,11]=>[11,9,7,5,3,1,2,4,6,8,10,12]
[.,[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],.]]=>[6,5,8,7,9,4,10,3,11,2,12,1]=>[12,10,8,6,2,1,4,3,5,7,9,11]=>[11,9,7,5,3,4,1,2,6,8,10,12]
[.,[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],.]]=>[5,4,8,7,9,6,10,3,11,2,12,1]=>[12,10,8,2,1,6,4,3,5,7,9,11]=>[11,9,7,5,3,4,6,1,2,8,10,12]
[.,[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],.]]=>[6,5,7,4,9,8,10,3,11,2,12,1]=>[12,10,8,4,2,1,3,6,5,7,9,11]=>[11,9,7,5,6,3,1,2,4,8,10,12]
[.,[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],.]]=>[5,4,7,6,9,8,10,3,11,2,12,1]=>[12,10,8,2,1,4,3,6,5,7,9,11]=>[11,9,7,5,6,3,4,1,2,8,10,12]
[.,[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],.]]=>[4,3,8,7,9,6,10,5,11,2,12,1]=>[12,10,2,1,8,6,4,3,5,7,9,11]=>[11,9,7,5,3,4,6,8,1,2,10,12]
[.,[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],.]]=>[4,3,7,6,9,8,10,5,11,2,12,1]=>[12,10,2,1,8,4,3,6,5,7,9,11]=>[11,9,7,5,6,3,4,8,1,2,10,12]
[.,[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,9,8,10,7,11,2,12,1]=>[12,10,4,2,1,3,8,6,5,7,9,11]=>[11,9,7,5,6,8,3,1,2,4,10,12]
[.,[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],.]]=>[4,3,6,5,9,8,10,7,11,2,12,1]=>[12,10,2,1,4,3,8,6,5,7,9,11]=>[11,9,7,5,6,8,3,4,1,2,10,12]
[.,[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],.]]=>[6,5,7,4,8,3,10,9,11,2,12,1]=>[12,10,6,4,2,1,3,5,8,7,9,11]=>[11,9,7,8,5,3,1,2,4,6,10,12]
[.,[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],.]]=>[5,4,7,6,8,3,10,9,11,2,12,1]=>[12,10,6,2,1,4,3,5,8,7,9,11]=>[11,9,7,8,5,3,4,1,2,6,10,12]
[.,[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],.]]=>[4,3,7,6,8,5,10,9,11,2,12,1]=>[12,10,2,1,6,4,3,5,8,7,9,11]=>[11,9,7,8,5,3,4,6,1,2,10,12]
[.,[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],.]]=>[5,4,6,3,8,7,10,9,11,2,12,1]=>[12,10,4,2,1,3,6,5,8,7,9,11]=>[11,9,7,8,5,6,3,1,2,4,10,12]
[.,[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],.]]=>[4,3,6,5,8,7,10,9,11,2,12,1]=>[12,10,2,1,4,3,6,5,8,7,9,11]=>[11,9,7,8,5,6,3,4,1,2,10,12]
[.,[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]=>[3,2,8,7,9,6,10,5,11,4,12,1]=>[12,2,1,10,8,6,4,3,5,7,9,11]=>[11,9,7,5,3,4,6,8,10,1,2,12]
[.,[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],.]]=>[3,2,7,6,9,8,10,5,11,4,12,1]=>[12,2,1,10,8,4,3,6,5,7,9,11]=>[11,9,7,5,6,3,4,8,10,1,2,12]
[.,[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]=>[3,2,6,5,9,8,10,7,11,4,12,1]=>[12,2,1,10,4,3,8,6,5,7,9,11]=>[11,9,7,5,6,8,3,4,10,1,2,12]
[.,[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],.]]=>[3,2,7,6,8,5,10,9,11,4,12,1]=>[12,2,1,10,6,4,3,5,8,7,9,11]=>[11,9,7,8,5,3,4,6,10,1,2,12]
[.,[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],.]]=>[3,2,6,5,8,7,10,9,11,4,12,1]=>[12,2,1,10,4,3,6,5,8,7,9,11]=>[11,9,7,8,5,6,3,4,10,1,2,12]
[.,[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],.]]=>[4,3,5,2,9,8,10,7,11,6,12,1]=>[12,4,2,1,3,10,8,6,5,7,9,11]=>[11,9,7,5,6,8,10,3,1,2,4,12]
[.,[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],.]]=>[4,3,5,2,8,7,10,9,11,6,12,1]=>[12,4,2,1,3,10,6,5,8,7,9,11]=>[11,9,7,8,5,6,10,3,1,2,4,12]
[.,[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],.]]=>[3,2,5,4,9,8,10,7,11,6,12,1]=>[12,2,1,4,3,10,8,6,5,7,9,11]=>[11,9,7,5,6,8,10,3,4,1,2,12]
[.,[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],.]]=>[3,2,5,4,8,7,10,9,11,6,12,1]=>[12,2,1,4,3,10,6,5,8,7,9,11]=>[11,9,7,8,5,6,10,3,4,1,2,12]
[.,[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],.]]=>[5,4,6,3,7,2,10,9,11,8,12,1]=>[12,6,4,2,1,3,5,10,8,7,9,11]=>[11,9,7,8,10,5,3,1,2,4,6,12]
[.,[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],.]]=>[4,3,6,5,7,2,10,9,11,8,12,1]=>[12,6,2,1,4,3,5,10,8,7,9,11]=>[11,9,7,8,10,5,3,4,1,2,6,12]
[.,[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],.]]=>[3,2,6,5,7,4,10,9,11,8,12,1]=>[12,2,1,6,4,3,5,10,8,7,9,11]=>[11,9,7,8,10,5,3,4,6,1,2,12]
[.,[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],.]]=>[4,3,5,2,7,6,10,9,11,8,12,1]=>[12,4,2,1,3,6,5,10,8,7,9,11]=>[11,9,7,8,10,5,6,3,1,2,4,12]
[.,[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],.]]=>[3,2,5,4,7,6,10,9,11,8,12,1]=>[12,2,1,4,3,6,5,10,8,7,9,11]=>[11,9,7,8,10,5,6,3,4,1,2,12]
[.,[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],.]]=>[6,5,7,4,8,3,9,2,11,10,12,1]=>[12,8,6,4,2,1,3,5,7,10,9,11]=>[11,9,10,7,5,3,1,2,4,6,8,12]
[.,[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],.]]=>[5,4,7,6,8,3,9,2,11,10,12,1]=>[12,8,6,2,1,4,3,5,7,10,9,11]=>[11,9,10,7,5,3,4,1,2,6,8,12]
[.,[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],.]]=>[4,3,7,6,8,5,9,2,11,10,12,1]=>[12,8,2,1,6,4,3,5,7,10,9,11]=>[11,9,10,7,5,3,4,6,1,2,8,12]
[.,[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],.]]=>[5,4,6,3,8,7,9,2,11,10,12,1]=>[12,8,4,2,1,3,6,5,7,10,9,11]=>[11,9,10,7,5,6,3,1,2,4,8,12]
[.,[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],.]]=>[4,3,6,5,8,7,9,2,11,10,12,1]=>[12,8,2,1,4,3,6,5,7,10,9,11]=>[11,9,10,7,5,6,3,4,1,2,8,12]
[.,[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],.]]=>[3,2,7,6,8,5,9,4,11,10,12,1]=>[12,2,1,8,6,4,3,5,7,10,9,11]=>[11,9,10,7,5,3,4,6,8,1,2,12]
[.,[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],.]]=>[3,2,6,5,8,7,9,4,11,10,12,1]=>[12,2,1,8,4,3,6,5,7,10,9,11]=>[11,9,10,7,5,6,3,4,8,1,2,12]
[.,[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],.]]=>[4,3,5,2,8,7,9,6,11,10,12,1]=>[12,4,2,1,3,8,6,5,7,10,9,11]=>[11,9,10,7,5,6,8,3,1,2,4,12]
[.,[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],.]]=>[3,2,5,4,8,7,9,6,11,10,12,1]=>[12,2,1,4,3,8,6,5,7,10,9,11]=>[11,9,10,7,5,6,8,3,4,1,2,12]
[.,[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],.]]=>[5,4,6,3,7,2,9,8,11,10,12,1]=>[12,6,4,2,1,3,5,8,7,10,9,11]=>[11,9,10,7,8,5,3,1,2,4,6,12]
[.,[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],.]]=>[4,3,6,5,7,2,9,8,11,10,12,1]=>[12,6,2,1,4,3,5,8,7,10,9,11]=>[11,9,10,7,8,5,3,4,1,2,6,12]
[.,[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],.]]=>[3,2,6,5,7,4,9,8,11,10,12,1]=>[12,2,1,6,4,3,5,8,7,10,9,11]=>[11,9,10,7,8,5,3,4,6,1,2,12]
[.,[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],.]]=>[4,3,5,2,7,6,9,8,11,10,12,1]=>[12,4,2,1,3,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,3,1,2,4,12]
[.,[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,9,8,11,10,12,1]=>[12,2,1,4,3,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,3,4,1,2,12]
[[.,[.,.]],[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]=>[2,1,8,7,9,6,10,5,11,4,12,3]=>[2,1,12,10,8,6,4,3,5,7,9,11]=>[11,9,7,5,3,4,6,8,10,12,1,2]
[[.,[.,.]],[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]]=>[2,1,7,6,9,8,10,5,11,4,12,3]=>[2,1,12,10,8,4,3,6,5,7,9,11]=>[11,9,7,5,6,3,4,8,10,12,1,2]
[[.,[.,.]],[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]]=>[2,1,6,5,9,8,10,7,11,4,12,3]=>[2,1,12,10,4,3,8,6,5,7,9,11]=>[11,9,7,5,6,8,3,4,10,12,1,2]
[[.,[.,.]],[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]]=>[2,1,7,6,8,5,10,9,11,4,12,3]=>[2,1,12,10,6,4,3,5,8,7,9,11]=>[11,9,7,8,5,3,4,6,10,12,1,2]
[[.,[.,.]],[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]]=>[2,1,6,5,8,7,10,9,11,4,12,3]=>[2,1,12,10,4,3,6,5,8,7,9,11]=>[11,9,7,8,5,6,3,4,10,12,1,2]
[[.,[.,.]],[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]]=>[2,1,5,4,9,8,10,7,11,6,12,3]=>[2,1,12,4,3,10,8,6,5,7,9,11]=>[11,9,7,5,6,8,10,3,4,12,1,2]
[[.,[.,.]],[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]]=>[2,1,5,4,8,7,10,9,11,6,12,3]=>[2,1,12,4,3,10,6,5,8,7,9,11]=>[11,9,7,8,5,6,10,3,4,12,1,2]
[[.,[.,.]],[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]]=>[2,1,6,5,7,4,10,9,11,8,12,3]=>[2,1,12,6,4,3,5,10,8,7,9,11]=>[11,9,7,8,10,5,3,4,6,12,1,2]
[[.,[.,.]],[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]]=>[2,1,5,4,7,6,10,9,11,8,12,3]=>[2,1,12,4,3,6,5,10,8,7,9,11]=>[11,9,7,8,10,5,6,3,4,12,1,2]
[[.,[.,.]],[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]]=>[2,1,7,6,8,5,9,4,11,10,12,3]=>[2,1,12,8,6,4,3,5,7,10,9,11]=>[11,9,10,7,5,3,4,6,8,12,1,2]
[[.,[.,.]],[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]]=>[2,1,6,5,8,7,9,4,11,10,12,3]=>[2,1,12,8,4,3,6,5,7,10,9,11]=>[11,9,10,7,5,6,3,4,8,12,1,2]
[[.,[.,.]],[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]]=>[2,1,5,4,8,7,9,6,11,10,12,3]=>[2,1,12,4,3,8,6,5,7,10,9,11]=>[11,9,10,7,5,6,8,3,4,12,1,2]
[[.,[.,.]],[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]]=>[2,1,6,5,7,4,9,8,11,10,12,3]=>[2,1,12,6,4,3,5,8,7,10,9,11]=>[11,9,10,7,8,5,3,4,6,12,1,2]
[[.,[.,.]],[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,9,8,11,10,12,3]=>[2,1,12,4,3,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,3,4,12,1,2]
[[.,[[.,[.,.]],.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[3,2,4,1,9,8,10,7,11,6,12,5]=>[4,2,1,3,12,10,8,6,5,7,9,11]=>[11,9,7,5,6,8,10,12,3,1,2,4]
[[.,[[.,[.,.]],.]],[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[3,2,4,1,8,7,10,9,11,6,12,5]=>[4,2,1,3,12,10,6,5,8,7,9,11]=>[11,9,7,8,5,6,10,12,3,1,2,4]
[[.,[[.,[.,.]],.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[3,2,4,1,7,6,10,9,11,8,12,5]=>[4,2,1,3,12,6,5,10,8,7,9,11]=>[11,9,7,8,10,5,6,12,3,1,2,4]
[[.,[[.,[.,.]],.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[3,2,4,1,8,7,9,6,11,10,12,5]=>[4,2,1,3,12,8,6,5,7,10,9,11]=>[11,9,10,7,5,6,8,12,3,1,2,4]
[[.,[[.,[.,.]],.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[3,2,4,1,7,6,9,8,11,10,12,5]=>[4,2,1,3,12,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,12,3,1,2,4]
[[[.,[.,.]],[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[2,1,4,3,9,8,10,7,11,6,12,5]=>[2,1,4,3,12,10,8,6,5,7,9,11]=>[11,9,7,5,6,8,10,12,3,4,1,2]
[[[.,[.,.]],[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[2,1,4,3,8,7,10,9,11,6,12,5]=>[2,1,4,3,12,10,6,5,8,7,9,11]=>[11,9,7,8,5,6,10,12,3,4,1,2]
[[[.,[.,.]],[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[2,1,4,3,7,6,10,9,11,8,12,5]=>[2,1,4,3,12,6,5,10,8,7,9,11]=>[11,9,7,8,10,5,6,12,3,4,1,2]
[[[.,[.,.]],[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[2,1,4,3,8,7,9,6,11,10,12,5]=>[2,1,4,3,12,8,6,5,7,10,9,11]=>[11,9,10,7,5,6,8,12,3,4,1,2]
[[[.,[.,.]],[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[2,1,4,3,7,6,9,8,11,10,12,5]=>[2,1,4,3,12,6,5,8,7,10,9,11]=>[11,9,10,7,8,5,6,12,3,4,1,2]
[[.,[[.,[[.,[.,.]],.]],.]],[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1,10,9,11,8,12,7]=>[6,4,2,1,3,5,12,10,8,7,9,11]=>[11,9,7,8,10,12,5,3,1,2,4,6]
[[.,[[.,[[.,[.,.]],.]],.]],[[[.,[.,.]],[.,.]],.]]=>[4,3,5,2,6,1,9,8,11,10,12,7]=>[6,4,2,1,3,5,12,8,7,10,9,11]=>[11,9,10,7,8,12,5,3,1,2,4,6]
[[.,[[[.,[.,.]],[.,.]],.]],[[.,[[.,[.,.]],.]],.]]=>[3,2,5,4,6,1,10,9,11,8,12,7]=>[6,2,1,4,3,5,12,10,8,7,9,11]=>[11,9,7,8,10,12,5,3,4,1,2,6]
[[.,[[[.,[.,.]],[.,.]],.]],[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1,9,8,11,10,12,7]=>[6,2,1,4,3,5,12,8,7,10,9,11]=>[11,9,10,7,8,12,5,3,4,1,2,6]
[[[.,[.,.]],[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]]=>[2,1,5,4,6,3,10,9,11,8,12,7]=>[2,1,6,4,3,5,12,10,8,7,9,11]=>[11,9,7,8,10,12,5,3,4,6,1,2]
[[[.,[.,.]],[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,5,4,6,3,9,8,11,10,12,7]=>[2,1,6,4,3,5,12,8,7,10,9,11]=>[11,9,10,7,8,12,5,3,4,6,1,2]
[[[.,[[.,[.,.]],.]],[.,.]],[[.,[[.,[.,.]],.]],.]]=>[3,2,4,1,6,5,10,9,11,8,12,7]=>[4,2,1,3,6,5,12,10,8,7,9,11]=>[11,9,7,8,10,12,5,6,3,1,2,4]
[[[.,[[.,[.,.]],.]],[.,.]],[[[.,[.,.]],[.,.]],.]]=>[3,2,4,1,6,5,9,8,11,10,12,7]=>[4,2,1,3,6,5,12,8,7,10,9,11]=>[11,9,10,7,8,12,5,6,3,1,2,4]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]]=>[2,1,4,3,6,5,10,9,11,8,12,7]=>[2,1,4,3,6,5,12,10,8,7,9,11]=>[11,9,7,8,10,12,5,6,3,4,1,2]
[[[[.,[.,.]],[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,4,3,6,5,9,8,11,10,12,7]=>[2,1,4,3,6,5,12,8,7,10,9,11]=>[11,9,10,7,8,12,5,6,3,4,1,2]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[[.,[.,.]],.]]=>[5,4,6,3,7,2,8,1,11,10,12,9]=>[8,6,4,2,1,3,5,7,12,10,9,11]=>[11,9,10,12,7,5,3,1,2,4,6,8]
[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[[.,[.,.]],.]]=>[4,3,6,5,7,2,8,1,11,10,12,9]=>[8,6,2,1,4,3,5,7,12,10,9,11]=>[11,9,10,12,7,5,3,4,1,2,6,8]
[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[[.,[.,.]],.]]=>[3,2,6,5,7,4,8,1,11,10,12,9]=>[8,2,1,6,4,3,5,7,12,10,9,11]=>[11,9,10,12,7,5,3,4,6,1,2,8]
[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[[.,[.,.]],.]]=>[4,3,5,2,7,6,8,1,11,10,12,9]=>[8,4,2,1,3,6,5,7,12,10,9,11]=>[11,9,10,12,7,5,6,3,1,2,4,8]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[[.,[.,.]],.]]=>[3,2,5,4,7,6,8,1,11,10,12,9]=>[8,2,1,4,3,6,5,7,12,10,9,11]=>[11,9,10,12,7,5,6,3,4,1,2,8]
[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]]=>[2,1,6,5,7,4,8,3,11,10,12,9]=>[2,1,8,6,4,3,5,7,12,10,9,11]=>[11,9,10,12,7,5,3,4,6,8,1,2]
[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]]=>[2,1,5,4,7,6,8,3,11,10,12,9]=>[2,1,8,4,3,6,5,7,12,10,9,11]=>[11,9,10,12,7,5,6,3,4,8,1,2]
[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5,11,10,12,9]=>[4,2,1,3,8,6,5,7,12,10,9,11]=>[11,9,10,12,7,5,6,8,3,1,2,4]
[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5,11,10,12,9]=>[2,1,4,3,8,6,5,7,12,10,9,11]=>[11,9,10,12,7,5,6,8,3,4,1,2]
[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[[.,[.,.]],.]]=>[4,3,5,2,6,1,8,7,11,10,12,9]=>[6,4,2,1,3,5,8,7,12,10,9,11]=>[11,9,10,12,7,8,5,3,1,2,4,6]
[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[[.,[.,.]],.]]=>[3,2,5,4,6,1,8,7,11,10,12,9]=>[6,2,1,4,3,5,8,7,12,10,9,11]=>[11,9,10,12,7,8,5,3,4,1,2,6]
[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3,8,7,11,10,12,9]=>[2,1,6,4,3,5,8,7,12,10,9,11]=>[11,9,10,12,7,8,5,3,4,6,1,2]
[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[[.,[.,.]],.]]=>[3,2,4,1,6,5,8,7,11,10,12,9]=>[4,2,1,3,6,5,8,7,12,10,9,11]=>[11,9,10,12,7,8,5,6,3,1,2,4]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,6,5,8,7,11,10,12,9]=>[2,1,4,3,6,5,8,7,12,10,9,11]=>[11,9,10,12,7,8,5,6,3,4,1,2]
[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],[.,.]]=>[6,5,7,4,8,3,9,2,10,1,12,11]=>[10,8,6,4,2,1,3,5,7,9,12,11]=>[11,12,9,7,5,3,1,2,4,6,8,10]
[[.,[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],.]],[.,.]]=>[5,4,7,6,8,3,9,2,10,1,12,11]=>[10,8,6,2,1,4,3,5,7,9,12,11]=>[11,12,9,7,5,3,4,1,2,6,8,10]
[[.,[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],.]],[.,.]]=>[4,3,7,6,8,5,9,2,10,1,12,11]=>[10,8,2,1,6,4,3,5,7,9,12,11]=>[11,12,9,7,5,3,4,6,1,2,8,10]
[[.,[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],.]],[.,.]]=>[5,4,6,3,8,7,9,2,10,1,12,11]=>[10,8,4,2,1,3,6,5,7,9,12,11]=>[11,12,9,7,5,6,3,1,2,4,8,10]
[[.,[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],.]],[.,.]]=>[4,3,6,5,8,7,9,2,10,1,12,11]=>[10,8,2,1,4,3,6,5,7,9,12,11]=>[11,12,9,7,5,6,3,4,1,2,8,10]
[[.,[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],.]],[.,.]]=>[3,2,7,6,8,5,9,4,10,1,12,11]=>[10,2,1,8,6,4,3,5,7,9,12,11]=>[11,12,9,7,5,3,4,6,8,1,2,10]
[[.,[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],.]],[.,.]]=>[3,2,6,5,8,7,9,4,10,1,12,11]=>[10,2,1,8,4,3,6,5,7,9,12,11]=>[11,12,9,7,5,6,3,4,8,1,2,10]
[[.,[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],.]],[.,.]]=>[4,3,5,2,8,7,9,6,10,1,12,11]=>[10,4,2,1,3,8,6,5,7,9,12,11]=>[11,12,9,7,5,6,8,3,1,2,4,10]
[[.,[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],.]],[.,.]]=>[3,2,5,4,8,7,9,6,10,1,12,11]=>[10,2,1,4,3,8,6,5,7,9,12,11]=>[11,12,9,7,5,6,8,3,4,1,2,10]
[[.,[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],.]],[.,.]]=>[5,4,6,3,7,2,9,8,10,1,12,11]=>[10,6,4,2,1,3,5,8,7,9,12,11]=>[11,12,9,7,8,5,3,1,2,4,6,10]
[[.,[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],.]],[.,.]]=>[4,3,6,5,7,2,9,8,10,1,12,11]=>[10,6,2,1,4,3,5,8,7,9,12,11]=>[11,12,9,7,8,5,3,4,1,2,6,10]
[[.,[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],.]],[.,.]]=>[3,2,6,5,7,4,9,8,10,1,12,11]=>[10,2,1,6,4,3,5,8,7,9,12,11]=>[11,12,9,7,8,5,3,4,6,1,2,10]
[[.,[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],.]],[.,.]]=>[4,3,5,2,7,6,9,8,10,1,12,11]=>[10,4,2,1,3,6,5,8,7,9,12,11]=>[11,12,9,7,8,5,6,3,1,2,4,10]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],.]],[.,.]]=>[3,2,5,4,7,6,9,8,10,1,12,11]=>[10,2,1,4,3,6,5,8,7,9,12,11]=>[11,12,9,7,8,5,6,3,4,1,2,10]
[[[.,[.,.]],[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]=>[2,1,7,6,8,5,9,4,10,3,12,11]=>[2,1,10,8,6,4,3,5,7,9,12,11]=>[11,12,9,7,5,3,4,6,8,10,1,2]
[[[.,[.,.]],[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]]=>[2,1,6,5,8,7,9,4,10,3,12,11]=>[2,1,10,8,4,3,6,5,7,9,12,11]=>[11,12,9,7,5,6,3,4,8,10,1,2]
[[[.,[.,.]],[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]]=>[2,1,5,4,8,7,9,6,10,3,12,11]=>[2,1,10,4,3,8,6,5,7,9,12,11]=>[11,12,9,7,5,6,8,3,4,10,1,2]
[[[.,[.,.]],[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]]=>[2,1,6,5,7,4,9,8,10,3,12,11]=>[2,1,10,6,4,3,5,8,7,9,12,11]=>[11,12,9,7,8,5,3,4,6,10,1,2]
[[[.,[.,.]],[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]]=>[2,1,5,4,7,6,9,8,10,3,12,11]=>[2,1,10,4,3,6,5,8,7,9,12,11]=>[11,12,9,7,8,5,6,3,4,10,1,2]
[[[.,[[.,[.,.]],.]],[[.,[[.,[.,.]],.]],.]],[.,.]]=>[3,2,4,1,8,7,9,6,10,5,12,11]=>[4,2,1,3,10,8,6,5,7,9,12,11]=>[11,12,9,7,5,6,8,10,3,1,2,4]
[[[.,[[.,[.,.]],.]],[[[.,[.,.]],[.,.]],.]],[.,.]]=>[3,2,4,1,7,6,9,8,10,5,12,11]=>[4,2,1,3,10,6,5,8,7,9,12,11]=>[11,12,9,7,8,5,6,10,3,1,2,4]
[[[[.,[.,.]],[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]]=>[2,1,4,3,8,7,9,6,10,5,12,11]=>[2,1,4,3,10,8,6,5,7,9,12,11]=>[11,12,9,7,5,6,8,10,3,4,1,2]
[[[[.,[.,.]],[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]]=>[2,1,4,3,7,6,9,8,10,5,12,11]=>[2,1,4,3,10,6,5,8,7,9,12,11]=>[11,12,9,7,8,5,6,10,3,4,1,2]
[[[.,[[.,[[.,[.,.]],.]],.]],[[.,[.,.]],.]],[.,.]]=>[4,3,5,2,6,1,9,8,10,7,12,11]=>[6,4,2,1,3,5,10,8,7,9,12,11]=>[11,12,9,7,8,10,5,3,1,2,4,6]
[[[.,[[[.,[.,.]],[.,.]],.]],[[.,[.,.]],.]],[.,.]]=>[3,2,5,4,6,1,9,8,10,7,12,11]=>[6,2,1,4,3,5,10,8,7,9,12,11]=>[11,12,9,7,8,10,5,3,4,1,2,6]
[[[[.,[.,.]],[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]]=>[2,1,5,4,6,3,9,8,10,7,12,11]=>[2,1,6,4,3,5,10,8,7,9,12,11]=>[11,12,9,7,8,10,5,3,4,6,1,2]
[[[[.,[[.,[.,.]],.]],[.,.]],[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5,9,8,10,7,12,11]=>[4,2,1,3,6,5,10,8,7,9,12,11]=>[11,12,9,7,8,10,5,6,3,1,2,4]
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]]=>[2,1,4,3,6,5,9,8,10,7,12,11]=>[2,1,4,3,6,5,10,8,7,9,12,11]=>[11,12,9,7,8,10,5,6,3,4,1,2]
[[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]],[.,.]]=>[5,4,6,3,7,2,8,1,10,9,12,11]=>[8,6,4,2,1,3,5,7,10,9,12,11]=>[11,12,9,10,7,5,3,1,2,4,6,8]
[[[.,[[.,[[[.,[.,.]],[.,.]],.]],.]],[.,.]],[.,.]]=>[4,3,6,5,7,2,8,1,10,9,12,11]=>[8,6,2,1,4,3,5,7,10,9,12,11]=>[11,12,9,10,7,5,3,4,1,2,6,8]
[[[.,[[[.,[.,.]],[[.,[.,.]],.]],.]],[.,.]],[.,.]]=>[3,2,6,5,7,4,8,1,10,9,12,11]=>[8,2,1,6,4,3,5,7,10,9,12,11]=>[11,12,9,10,7,5,3,4,6,1,2,8]
[[[.,[[[.,[[.,[.,.]],.]],[.,.]],.]],[.,.]],[.,.]]=>[4,3,5,2,7,6,8,1,10,9,12,11]=>[8,4,2,1,3,6,5,7,10,9,12,11]=>[11,12,9,10,7,5,6,3,1,2,4,8]
[[[.,[[[[.,[.,.]],[.,.]],[.,.]],.]],[.,.]],[.,.]]=>[3,2,5,4,7,6,8,1,10,9,12,11]=>[8,2,1,4,3,6,5,7,10,9,12,11]=>[11,12,9,10,7,5,6,3,4,1,2,8]
[[[[.,[.,.]],[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]]=>[2,1,6,5,7,4,8,3,10,9,12,11]=>[2,1,8,6,4,3,5,7,10,9,12,11]=>[11,12,9,10,7,5,3,4,6,8,1,2]
[[[[.,[.,.]],[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]]=>[2,1,5,4,7,6,8,3,10,9,12,11]=>[2,1,8,4,3,6,5,7,10,9,12,11]=>[11,12,9,10,7,5,6,3,4,8,1,2]
[[[[.,[[.,[.,.]],.]],[[.,[.,.]],.]],[.,.]],[.,.]]=>[3,2,4,1,7,6,8,5,10,9,12,11]=>[4,2,1,3,8,6,5,7,10,9,12,11]=>[11,12,9,10,7,5,6,8,3,1,2,4]
[[[[[.,[.,.]],[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]]=>[2,1,4,3,7,6,8,5,10,9,12,11]=>[2,1,4,3,8,6,5,7,10,9,12,11]=>[11,12,9,10,7,5,6,8,3,4,1,2]
[[[[.,[[.,[[.,[.,.]],.]],.]],[.,.]],[.,.]],[.,.]]=>[4,3,5,2,6,1,8,7,10,9,12,11]=>[6,4,2,1,3,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,3,1,2,4,6]
[[[[.,[[[.,[.,.]],[.,.]],.]],[.,.]],[.,.]],[.,.]]=>[3,2,5,4,6,1,8,7,10,9,12,11]=>[6,2,1,4,3,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,3,4,1,2,6]
[[[[[.,[.,.]],[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]]=>[2,1,5,4,6,3,8,7,10,9,12,11]=>[2,1,6,4,3,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,3,4,6,1,2]
[[[[[.,[[.,[.,.]],.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7,10,9,12,11]=>[4,2,1,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,1,2,4]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[2,1,9,8,7,6,5,4,3]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>[3,2,1,9,8,7,6,5,4]=>[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>[4,3,2,1,9,8,7,6,5]=>[4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,.]]]]=>[5,4,3,2,1,9,8,7,6]=>[5,4,3,2,1,9,8,7,6]=>[6,7,8,9,1,2,3,4,5]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>[6,5,4,3,2,1,9,8,7]=>[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[7,6,5,4,3,2,1,9,8]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,2,9,8,7,6,5,4,3]=>[1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[2,1,10,9,8,7,6,5,4,3]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,3,1,9,8,7,6,5,4]=>[3,1,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,1,3]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[3,2,1,10,9,8,7,6,5,4]=>[3,2,1,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,1,2,3]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>[4,3,2,1,10,9,8,7,6,5]=>[4,3,2,1,10,9,8,7,6,5]=>[5,6,7,8,9,10,1,2,3,4]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1,10,9,8,7,6]=>[5,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,5]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>[6,5,4,3,2,1,10,9,8,7]=>[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>[7,6,5,4,3,2,1,10,9,8]=>[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>[8,7,6,5,4,3,2,1,10,9]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]
[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]=>[1,7,6,5,4,3,2,8,9]=>[1,7,6,5,4,3,2,8,9]=>[9,8,2,3,4,5,6,7,1]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]
[[[[[.,.],[.,[.,[.,[.,.]]]]],.],.],.]=>[1,6,5,4,3,2,7,8,9]=>[1,6,5,4,3,2,7,8,9]=>[9,8,7,2,3,4,5,6,1]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]
[[[[[[.,.],[.,[.,[.,.]]]],.],.],.],.]=>[1,5,4,3,2,6,7,8,9]=>[1,5,4,3,2,6,7,8,9]=>[9,8,7,6,2,3,4,5,1]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]=>[1,4,3,2,5,6,7,8,9]=>[1,4,3,2,5,6,7,8,9]=>[9,8,7,6,5,2,3,4,1]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]=>[1,3,2,4,5,6,7,8,9]=>[1,3,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,3,1]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]=>[4,9,8,7,6,5,3,2,1]=>[9,8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8,9]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>[3,9,8,7,6,5,4,2,1]=>[9,8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8,9]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[2,9,8,7,6,5,4,3,1]=>[9,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,9]
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>[6,10,9,8,7,5,4,3,2,1]=>[10,9,8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8,9,10]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[2,4,6,8,10,9,7,5,3,1]=>[10,1,9,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,9,1,10]
[[.,[[[[.,.],[.,.]],[.,.]],[.,.]]],[.,.]]=>[2,4,3,6,5,8,7,1,10,9]=>[8,1,3,2,5,4,7,6,10,9]=>[9,10,6,7,4,5,2,3,1,8]
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,8,7,5,10,9]=>[4,1,3,2,8,5,7,6,10,9]=>[9,10,6,7,5,8,2,3,1,4]
[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]]=>[2,4,3,1,6,5,8,10,9,7]=>[4,1,3,2,6,5,10,7,9,8]=>[8,9,7,10,5,6,2,3,1,4]
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7,10,9]=>[4,1,3,2,6,5,8,7,10,9]=>[9,10,7,8,5,6,2,3,1,4]
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,3,6,8,7,5,10,9]=>[2,1,4,3,8,5,7,6,10,9]=>[9,10,6,7,5,8,3,4,1,2]
[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,5,8,10,9,7]=>[2,1,4,3,6,5,10,7,9,8]=>[8,9,7,10,5,6,3,4,1,2]
[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5,10,12,11,9]=>[4,1,3,2,8,5,7,6,12,9,11,10]=>[10,11,9,12,6,7,5,8,2,3,1,4]
[[[[.,[[.,.],[.,.]]],[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,8,7,5,10,9,12,11]=>[4,1,3,2,8,5,7,6,10,9,12,11]=>[11,12,9,10,6,7,5,8,2,3,1,4]
[[[[.,[[.,.],[.,.]]],[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5,8,10,9,7,12,11]=>[4,1,3,2,6,5,10,7,9,8,12,11]=>[11,12,8,9,7,10,5,6,2,3,1,4]
[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,4,3,1,6,5,8,7,10,12,11,9]=>[4,1,3,2,6,5,8,7,12,9,11,10]=>[10,11,9,12,7,8,5,6,2,3,1,4]
[[[[[.,[[.,.],[.,.]]],[.,.]],[.,.]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7,10,9,12,11]=>[4,1,3,2,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,2,3,1,4]
[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5,10,12,11,9]=>[2,1,4,3,8,5,7,6,12,9,11,10]=>[10,11,9,12,6,7,5,8,3,4,1,2]
[[[[[.,[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,1,4,3,6,8,7,5,10,9,12,11]=>[2,1,4,3,8,5,7,6,10,9,12,11]=>[11,12,9,10,6,7,5,8,3,4,1,2]
[[[[[.,[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,3,6,5,8,10,9,7,12,11]=>[2,1,4,3,6,5,10,7,9,8,12,11]=>[11,12,8,9,7,10,5,6,3,4,1,2]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,5,8,7,10,12,11,9]=>[2,1,4,3,6,5,8,7,12,9,11,10]=>[10,11,9,12,7,8,5,6,3,4,1,2]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,7,9,8,1]=>[9,1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1,9]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,1,2]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]=>[2,1,3,4,5,6,8,7,9]=>[2,1,3,4,5,6,8,7,9]=>[9,7,8,6,5,4,3,1,2]
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]]=>[2,1,3,4,5,6,8,9,7]=>[2,1,3,4,5,6,9,7,8]=>[8,7,9,6,5,4,3,1,2]
[.,[[[[[[.,.],.],.],.],.],[[.,.],.]]]=>[2,3,4,5,6,8,9,7,1]=>[9,1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1,9]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,7,8,10,9,1]=>[10,1,2,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,2,1,10]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.]=>[2,1,4,3,5,6,7,8,9]=>[2,1,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,1,2]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]=>[6,5,4,3,2,1,8,7,9]=>[6,5,4,3,2,1,8,7,9]=>[9,7,8,1,2,3,4,5,6]
[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]]=>[7,8,6,9,5,4,3,2,1]=>[9,8,7,6,5,3,1,2,4]=>[4,2,1,3,5,6,7,8,9]
[.,[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]]=>[6,7,8,5,9,4,3,2,1]=>[9,8,7,6,4,1,2,3,5]=>[5,3,2,1,4,6,7,8,9]
[.,[.,[.,[[.,[[[[.,.],.],.],.]],.]]]]=>[5,6,7,8,4,9,3,2,1]=>[9,8,7,5,1,2,3,4,6]=>[6,4,3,2,1,5,7,8,9]
[.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]]=>[4,5,6,7,8,3,9,2,1]=>[9,8,6,1,2,3,4,5,7]=>[7,5,4,3,2,1,6,8,9]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]]=>[3,4,5,6,7,8,2,9,1]=>[9,7,1,2,3,4,5,6,8]=>[8,6,5,4,3,2,1,7,9]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,1,9]=>[8,1,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,1,8]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9]=>[3,1,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,1,3]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.]=>[2,3,4,5,6,7,1,8,9]=>[7,1,2,3,4,5,6,8,9]=>[9,8,6,5,4,3,2,1,7]
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9,10]=>[3,1,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,1,3]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.]=>[2,4,3,1,5,6,7,8,9]=>[4,1,3,2,5,6,7,8,9]=>[9,8,7,6,5,2,3,1,4]
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.]=>[2,3,5,4,1,6,7,8,9]=>[5,1,2,4,3,6,7,8,9]=>[9,8,7,6,3,4,2,1,5]
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.]=>[2,3,4,6,5,1,7,8,9]=>[6,1,2,3,5,4,7,8,9]=>[9,8,7,4,5,3,2,1,6]
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.]=>[2,3,4,5,7,6,1,8,9]=>[7,1,2,3,4,6,5,8,9]=>[9,8,5,6,4,3,2,1,7]
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]=>[2,3,4,5,6,8,7,1,9]=>[8,1,2,3,4,5,7,6,9]=>[9,6,7,5,4,3,2,1,8]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,9,1,10]=>[9,1,2,3,4,5,6,7,8,10]=>[10,8,7,6,5,4,3,2,1,9]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.]=>[1,2,4,3,5,6,7,8,9]=>[1,2,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,2,1]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]=>[1,2,3,5,4,6,7,8,9]=>[1,2,3,5,4,6,7,8,9]=>[9,8,7,6,4,5,3,2,1]
[[[[[[[[.,.],.],.],.],[.,.]],.],.],.]=>[1,2,3,4,6,5,7,8,9]=>[1,2,3,4,6,5,7,8,9]=>[9,8,7,5,6,4,3,2,1]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>[1,2,3,4,5,7,6,8,9]=>[1,2,3,4,5,7,6,8,9]=>[9,8,6,7,5,4,3,2,1]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,8,7,9]=>[1,2,3,4,5,6,8,7,9]=>[9,7,8,6,5,4,3,2,1]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]=>[1,3,2,4,5,6,7,8,9,10]=>[1,3,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,3,1]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.]=>[1,2,4,3,5,6,7,8,9,10]=>[1,2,4,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,4,2,1]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]=>[1,2,3,5,4,6,7,8,9,10]=>[1,2,3,5,4,6,7,8,9,10]=>[10,9,8,7,6,4,5,3,2,1]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]=>[1,2,3,4,6,5,7,8,9,10]=>[1,2,3,4,6,5,7,8,9,10]=>[10,9,8,7,5,6,4,3,2,1]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]=>[1,2,3,4,5,7,6,8,9,10]=>[1,2,3,4,5,7,6,8,9,10]=>[10,9,8,6,7,5,4,3,2,1]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]=>[1,2,3,4,5,6,8,7,9,10]=>[1,2,3,4,5,6,8,7,9,10]=>[10,9,7,8,6,5,4,3,2,1]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,7,9,8,10]=>[1,2,3,4,5,6,7,9,8,10]=>[10,8,9,7,6,5,4,3,2,1]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>[1,3,4,5,6,7,9,8,2]=>[1,9,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,9,1]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>[7,6,5,4,3,2,9,8,1]=>[9,6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6,9]
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]]=>[4,3,2,5,6,7,8,9,1]=>[9,3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3,9]
[.,[[[[[.,[.,[.,[.,.]]]],.],.],.],.]]=>[5,4,3,2,6,7,8,9,1]=>[9,4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4,9]
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]]=>[6,5,4,3,2,7,8,9,1]=>[9,5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5,9]
[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]]=>[7,6,5,4,3,2,8,9,1]=>[9,6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6,9]
[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]]=>[4,3,2,5,6,7,8,9,10,1]=>[10,3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3,10]
[.,[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]]=>[5,4,3,2,6,7,8,9,10,1]=>[10,4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4,10]
[.,[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]]=>[6,5,4,3,2,7,8,9,10,1]=>[10,5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5,10]
[.,[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]]=>[7,6,5,4,3,2,8,9,10,1]=>[10,6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6,10]
[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]]=>[8,7,6,5,4,3,2,9,10,1]=>[10,7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7,10]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[1,7,6,5,4,3,2,9,8]=>[1,7,6,5,4,3,2,9,8]=>[8,9,2,3,4,5,6,7,1]
[[.,[.,[.,[.,[.,[.,.]]]]]],[[.,.],.]]=>[6,5,4,3,2,1,8,9,7]=>[6,5,4,3,2,1,9,7,8]=>[8,7,9,1,2,3,4,5,6]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10,11]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[1,2,10,9,8,7,6,5,4,3]=>[1,2,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,2,1]
[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[1,3,2,9,8,7,6,5,4]=>[1,3,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,3,1]
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>[2,1,8,7,6,5,4,3,9]=>[2,1,8,7,6,5,4,3,9]=>[9,3,4,5,6,7,8,1,2]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[1,9,8,7,6,5,4,3,2,10]=>[1,9,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,9,1]
[[[[[[.,.],[[[.,.],.],.]],.],.],.],.]=>[1,3,4,5,2,6,7,8,9]=>[1,5,2,3,4,6,7,8,9]=>[9,8,7,6,4,3,2,5,1]
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.]=>[1,2,4,5,3,6,7,8,9]=>[1,2,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,2,1]
[[[[[[.,[.,.]],[[.,.],.]],.],.],.],.]=>[2,1,4,5,3,6,7,8,9]=>[2,1,5,3,4,6,7,8,9]=>[9,8,7,6,4,3,5,1,2]
[[[[[[[.,.],[.,.]],[.,.]],.],.],.],.]=>[1,3,2,5,4,6,7,8,9]=>[1,3,2,5,4,6,7,8,9]=>[9,8,7,6,4,5,2,3,1]
[.,[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]]=>[2,4,3,9,8,7,6,5,1]=>[9,1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1,9]
[.,[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]]=>[2,4,3,10,9,8,7,6,5,1]=>[10,1,3,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,3,1,10]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]=>[8,7,6,5,4,3,2,10,9,1]=>[10,7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7,10]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>[2,1,4,5,6,7,8,9,3]=>[2,1,9,3,4,5,6,7,8]=>[8,7,6,5,4,3,9,1,2]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.]=>[1,3,4,5,6,7,8,2,9]=>[1,8,2,3,4,5,6,7,9]=>[9,7,6,5,4,3,2,8,1]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,6,7,10,9,8]=>[1,2,3,4,5,6,7,10,9,8]=>[8,9,10,7,6,5,4,3,2,1]
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]=>[6,7,8,5,4,3,2,1,9]=>[8,7,6,5,4,1,2,3,9]=>[9,3,2,1,4,5,6,7,8]
[[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]],.]=>[7,8,9,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,1,2,3,10]=>[10,3,2,1,4,5,6,7,8,9]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,5,9,8,7,6]=>[1,2,3,4,5,9,8,7,6]=>[6,7,8,9,5,4,3,2,1]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,4,9,8,7,6,5]=>[1,2,3,4,9,8,7,6,5]=>[5,6,7,8,9,4,3,2,1]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,3,9,8,7,6,5,4]=>[1,2,3,9,8,7,6,5,4]=>[4,5,6,7,8,9,3,2,1]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,5,7,6,9,8]=>[1,2,3,4,5,7,6,9,8]=>[8,9,6,7,5,4,3,2,1]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,5,6,10,9,8,7]=>[1,2,3,4,5,6,10,9,8,7]=>[7,8,9,10,6,5,4,3,2,1]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,4,5,10,9,8,7,6]=>[1,2,3,4,5,10,9,8,7,6]=>[6,7,8,9,10,5,4,3,2,1]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,3,4,10,9,8,7,6,5]=>[1,2,3,4,10,9,8,7,6,5]=>[5,6,7,8,9,10,4,3,2,1]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,2,3,10,9,8,7,6,5,4]=>[1,2,3,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,3,2,1]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,5,6,8,7,10,9]=>[1,2,3,4,5,6,8,7,10,9]=>[9,10,7,8,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]=>[10,9,11,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,2,1,3]=>[3,1,2,4,5,6,7,8,9,10,11]
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]=>[2,8,9,7,6,5,4,3,1]=>[9,1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1,9]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]=>[10,11,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,9,10,11]
[[.,[[[[.,.],[.,.]],[[.,.],.]],.]],.]=>[2,4,3,6,7,5,8,1,9]=>[8,1,3,2,6,4,5,7,9]=>[9,7,5,4,6,2,3,1,8]
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]=>[7,8,6,5,4,3,2,9,1]=>[9,7,6,5,4,3,1,2,8]=>[8,2,1,3,4,5,6,7,9]
[[[[[[.,[.,[[.,.],.]]],.],.],.],.],.]=>[3,4,2,1,5,6,7,8,9]=>[4,3,1,2,5,6,7,8,9]=>[9,8,7,6,5,2,1,3,4]
[[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9,10,11]=>[3,1,2,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,2,1,3]
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.]=>[3,4,2,5,1,6,7,8,9]=>[5,3,1,2,4,6,7,8,9]=>[9,8,7,6,4,2,1,3,5]
[[[[[[.,.],[[.,[.,.]],.]],.],.],.],.]=>[1,4,3,5,2,6,7,8,9]=>[1,5,3,2,4,6,7,8,9]=>[9,8,7,6,4,2,3,5,1]
[[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.],.]=>[1,4,3,2,5,6,7,8,9,10]=>[1,4,3,2,5,6,7,8,9,10]=>[10,9,8,7,6,5,2,3,4,1]
[[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.]=>[1,3,2,4,5,6,7,8,9,10,11]=>[1,3,2,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,2,3,1]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.]=>[7,6,5,4,3,2,8,1,9]=>[8,6,5,4,3,2,1,7,9]=>[9,7,1,2,3,4,5,6,8]
[.,[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]]=>[4,3,9,8,7,6,5,2,1]=>[9,8,2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2,8,9]
[[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]],.]=>[5,8,7,6,4,3,2,1,9]=>[8,7,6,5,1,4,3,2,9]=>[9,2,3,4,1,5,6,7,8]
[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.]=>[7,6,5,8,4,3,2,1,9]=>[8,7,6,5,3,2,1,4,9]=>[9,4,1,2,3,5,6,7,8]
[.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]]=>[4,3,2,9,8,7,6,5,1]=>[9,3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3,9]
[.,[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]]]=>[7,6,10,9,8,5,4,3,2,1]=>[10,9,8,7,6,2,1,5,4,3]=>[3,4,5,1,2,6,7,8,9,10]
[[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]],.]=>[4,9,8,7,6,5,3,2,1,10]=>[9,8,7,1,6,5,4,3,2,10]=>[10,2,3,4,5,6,1,7,8,9]
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.]=>[2,3,1,5,4,6,7,8,9]=>[3,1,2,5,4,6,7,8,9]=>[9,8,7,6,4,5,2,1,3]
[.,[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]]=>[2,4,3,5,6,7,8,9,10,1]=>[10,1,3,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,3,1,10]
[.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]]=>[7,6,5,4,3,8,9,2,1]=>[9,8,5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5,8,9]
[[[[[.,[.,[.,[[.,.],.]]]],.],.],.],.]=>[4,5,3,2,1,6,7,8,9]=>[5,4,3,1,2,6,7,8,9]=>[9,8,7,6,2,1,3,4,5]
[.,[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]]=>[7,6,5,4,3,8,2,9,1]=>[9,7,5,4,3,2,1,6,8]=>[8,6,1,2,3,4,5,7,9]
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]=>[1,2,3,4,5,8,7,6,9]=>[1,2,3,4,5,8,7,6,9]=>[9,6,7,8,5,4,3,2,1]
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.]=>[3,2,4,5,6,7,8,1,9]=>[8,2,1,3,4,5,6,7,9]=>[9,7,6,5,4,3,1,2,8]
[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.]=>[5,4,3,2,1,8,7,6,9]=>[5,4,3,2,1,8,7,6,9]=>[9,6,7,8,1,2,3,4,5]
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,3,9,8,7,6,5,4,1]=>[9,1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1,9]
[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[1,8,7,6,5,4,3,9,2]=>[1,9,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,9,1]
[[.,.],[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[1,7,6,5,4,3,8,9,2]=>[1,9,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,9,1]
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]=>[2,8,7,6,5,4,3,1,9]=>[8,1,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,1,8]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,7,1,9,8]=>[7,1,2,3,4,5,6,9,8]=>[8,9,6,5,4,3,2,1,7]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.]=>[1,3,4,2,5,6,7,8,9]=>[1,4,2,3,5,6,7,8,9]=>[9,8,7,6,5,3,2,4,1]
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.]=>[8,7,6,5,4,3,2,9,1,10]=>[9,7,6,5,4,3,2,1,8,10]=>[10,8,1,2,3,4,5,6,7,9]
[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>[1,2,8,7,6,5,4,3,9]=>[1,2,8,7,6,5,4,3,9]=>[9,3,4,5,6,7,8,2,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,7,8,10,9,11]=>[1,2,3,4,5,6,7,8,10,9,11]=>[11,9,10,8,7,6,5,4,3,2,1]
[[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]],.]=>[2,1,3,4,5,6,7,9,8,10]=>[2,1,3,4,5,6,7,9,8,10]=>[10,8,9,7,6,5,4,3,1,2]
[[[[[[[.,.],[.,.]],.],.],.],[.,.]],.]=>[1,3,2,4,5,6,8,7,9]=>[1,3,2,4,5,6,8,7,9]=>[9,7,8,6,5,4,2,3,1]
[[[.,[.,.]],.],[[[[[.,.],.],.],.],.]]=>[2,1,3,5,6,7,8,9,4]=>[2,1,3,9,4,5,6,7,8]=>[8,7,6,5,4,9,3,1,2]
[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]]=>[2,1,3,4,6,7,8,9,5]=>[2,1,3,4,9,5,6,7,8]=>[8,7,6,5,9,4,3,1,2]
[[[[.,[.,[.,[.,[[.,.],.]]]]],.],.],.]=>[5,6,4,3,2,1,7,8,9]=>[6,5,4,3,1,2,7,8,9]=>[9,8,7,2,1,3,4,5,6]
[[[[.,[.,[.,[.,.]]]],[[.,.],.]],.],.]=>[4,3,2,1,6,7,5,8,9]=>[4,3,2,1,7,5,6,8,9]=>[9,8,6,5,7,1,2,3,4]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]]=>[1,3,2,4,5,6,7,8,10,9]=>[1,3,2,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,2,3,1]
[[[.,[[[[[.,.],.],.],.],.]],.],[.,.]]=>[2,3,4,5,6,1,7,9,8]=>[6,1,2,3,4,5,7,9,8]=>[8,9,7,5,4,3,2,1,6]
[.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]]=>[9,10,11,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8,9,10,11]
[[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.],.]=>[6,7,5,4,3,2,1,8,9]=>[7,6,5,4,3,1,2,8,9]=>[9,8,2,1,3,4,5,6,7]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[[.,.],.]]=>[7,6,5,4,3,2,1,9,10,8]=>[7,6,5,4,3,2,1,10,8,9]=>[9,8,10,1,2,3,4,5,6,7]
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
inverse
Description
Sends a permutation to its inverse.
Map
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
searching the database
Sorry, this map was not found in the database.