Identifier
Mp00017:
Binary trees
—to 312-avoiding permutation⟶
Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00066: Permutations —inverse⟶ Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00064: Permutations —reverse⟶ Permutations
Mp00066: Permutations —inverse⟶ Permutations
Mp00064: Permutations —reverse⟶ Permutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1]=>[1]
[.,[.,.]]=>[2,1]=>[1,2]=>[1,2]=>[2,1]
[[.,.],.]=>[1,2]=>[2,1]=>[2,1]=>[1,2]
[.,[.,[.,.]]]=>[3,2,1]=>[1,2,3]=>[1,2,3]=>[3,2,1]
[.,[[.,.],.]]=>[2,3,1]=>[1,3,2]=>[1,3,2]=>[2,3,1]
[[.,.],[.,.]]=>[1,3,2]=>[2,3,1]=>[3,1,2]=>[2,1,3]
[[.,[.,.]],.]=>[2,1,3]=>[3,1,2]=>[2,3,1]=>[1,3,2]
[[[.,.],.],.]=>[1,2,3]=>[3,2,1]=>[3,2,1]=>[1,2,3]
[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]
[.,[.,[[.,.],.]]]=>[3,4,2,1]=>[1,2,4,3]=>[1,2,4,3]=>[3,4,2,1]
[.,[[.,.],[.,.]]]=>[2,4,3,1]=>[1,3,4,2]=>[1,4,2,3]=>[3,2,4,1]
[.,[[.,[.,.]],.]]=>[3,2,4,1]=>[1,4,2,3]=>[1,3,4,2]=>[2,4,3,1]
[.,[[[.,.],.],.]]=>[2,3,4,1]=>[1,4,3,2]=>[1,4,3,2]=>[2,3,4,1]
[[.,.],[.,[.,.]]]=>[1,4,3,2]=>[2,3,4,1]=>[4,1,2,3]=>[3,2,1,4]
[[.,.],[[.,.],.]]=>[1,3,4,2]=>[2,4,3,1]=>[4,1,3,2]=>[2,3,1,4]
[[.,[.,.]],[.,.]]=>[2,1,4,3]=>[3,4,1,2]=>[3,4,1,2]=>[2,1,4,3]
[[[.,.],.],[.,.]]=>[1,2,4,3]=>[3,4,2,1]=>[4,3,1,2]=>[2,1,3,4]
[[.,[.,[.,.]]],.]=>[3,2,1,4]=>[4,1,2,3]=>[2,3,4,1]=>[1,4,3,2]
[[.,[[.,.],.]],.]=>[2,3,1,4]=>[4,1,3,2]=>[2,4,3,1]=>[1,3,4,2]
[[[.,.],[.,.]],.]=>[1,3,2,4]=>[4,2,3,1]=>[4,2,3,1]=>[1,3,2,4]
[[[.,[.,.]],.],.]=>[2,1,3,4]=>[4,3,1,2]=>[3,4,2,1]=>[1,2,4,3]
[[[[.,.],.],.],.]=>[1,2,3,4]=>[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]
[.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]
[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[4,5,3,2,1]
[.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[1,2,4,5,3]=>[1,2,5,3,4]=>[4,3,5,2,1]
[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[1,2,5,3,4]=>[1,2,4,5,3]=>[3,5,4,2,1]
[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[1,2,5,4,3]=>[1,2,5,4,3]=>[3,4,5,2,1]
[.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[1,3,4,5,2]=>[1,5,2,3,4]=>[4,3,2,5,1]
[.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[1,3,5,4,2]=>[1,5,2,4,3]=>[3,4,2,5,1]
[.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[1,4,5,2,3]=>[1,4,5,2,3]=>[3,2,5,4,1]
[.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[1,4,5,3,2]=>[1,5,4,2,3]=>[3,2,4,5,1]
[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[1,5,2,3,4]=>[1,3,4,5,2]=>[2,5,4,3,1]
[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[1,5,2,4,3]=>[1,3,5,4,2]=>[2,4,5,3,1]
[.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[1,5,3,4,2]=>[1,5,3,4,2]=>[2,4,3,5,1]
[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[1,5,4,2,3]=>[1,4,5,3,2]=>[2,3,5,4,1]
[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[2,3,4,5,1]
[[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[2,3,4,5,1]=>[5,1,2,3,4]=>[4,3,2,1,5]
[[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[2,3,5,4,1]=>[5,1,2,4,3]=>[3,4,2,1,5]
[[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[2,4,5,3,1]=>[5,1,4,2,3]=>[3,2,4,1,5]
[[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[2,5,3,4,1]=>[5,1,3,4,2]=>[2,4,3,1,5]
[[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[2,5,4,3,1]=>[5,1,4,3,2]=>[2,3,4,1,5]
[[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[3,4,5,1,2]=>[4,5,1,2,3]=>[3,2,1,5,4]
[[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[3,5,4,1,2]=>[4,5,1,3,2]=>[2,3,1,5,4]
[[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[3,4,5,2,1]=>[5,4,1,2,3]=>[3,2,1,4,5]
[[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[3,5,4,2,1]=>[5,4,1,3,2]=>[2,3,1,4,5]
[[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[4,5,1,2,3]=>[3,4,5,1,2]=>[2,1,5,4,3]
[[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[4,5,1,3,2]=>[3,5,4,1,2]=>[2,1,4,5,3]
[[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[4,5,2,3,1]=>[5,3,4,1,2]=>[2,1,4,3,5]
[[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[2,1,3,5,4]
[[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[5,4,3,1,2]=>[2,1,3,4,5]
[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[1,5,4,3,2]
[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[5,1,2,4,3]=>[2,3,5,4,1]=>[1,4,5,3,2]
[[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[5,1,3,4,2]=>[2,5,3,4,1]=>[1,4,3,5,2]
[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[5,1,4,2,3]=>[2,4,5,3,1]=>[1,3,5,4,2]
[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[5,1,4,3,2]=>[2,5,4,3,1]=>[1,3,4,5,2]
[[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[5,2,3,4,1]=>[1,4,3,2,5]
[[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[5,2,4,3,1]=>[5,2,4,3,1]=>[1,3,4,2,5]
[[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[5,3,4,1,2]=>[4,5,2,3,1]=>[1,3,2,5,4]
[[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[5,4,2,3,1]=>[1,3,2,4,5]
[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[1,2,5,4,3]
[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[5,4,1,3,2]=>[3,5,4,2,1]=>[1,2,4,5,3]
[[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[5,3,4,2,1]=>[1,2,4,3,5]
[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[5,4,3,1,2]=>[4,5,3,2,1]=>[1,2,3,5,4]
[[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]
[.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]
[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]
[.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>[1,2,3,6,4,5]=>[5,4,6,3,2,1]
[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]
[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]
[.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>[1,2,6,3,4,5]=>[5,4,3,6,2,1]
[.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>[1,2,6,3,5,4]=>[4,5,3,6,2,1]
[.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>[1,2,5,6,3,4]=>[4,3,6,5,2,1]
[.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>[1,2,6,5,3,4]=>[4,3,5,6,2,1]
[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]
[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[1,2,4,6,5,3]=>[3,5,6,4,2,1]
[.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>[1,2,6,4,5,3]=>[3,5,4,6,2,1]
[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[1,2,5,6,4,3]=>[3,4,6,5,2,1]
[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]
[.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>[5,4,3,2,6,1]
[.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>[1,6,2,3,5,4]=>[4,5,3,2,6,1]
[.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>[1,6,2,5,3,4]=>[4,3,5,2,6,1]
[.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>[1,6,2,4,5,3]=>[3,5,4,2,6,1]
[.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>[1,6,2,5,4,3]=>[3,4,5,2,6,1]
[.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>[1,5,6,2,3,4]=>[4,3,2,6,5,1]
[.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>[1,5,6,2,4,3]=>[3,4,2,6,5,1]
[.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>[1,6,5,2,3,4]=>[4,3,2,5,6,1]
[.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>[1,6,5,2,4,3]=>[3,4,2,5,6,1]
[.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>[1,4,5,6,2,3]=>[3,2,6,5,4,1]
[.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>[1,4,6,5,2,3]=>[3,2,5,6,4,1]
[.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>[1,6,4,5,2,3]=>[3,2,5,4,6,1]
[.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>[1,5,6,4,2,3]=>[3,2,4,6,5,1]
[.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>[1,6,5,4,2,3]=>[3,2,4,5,6,1]
[.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]
[.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[1,3,4,6,5,2]=>[2,5,6,4,3,1]
[.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>[1,3,6,4,5,2]=>[2,5,4,6,3,1]
[.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[1,3,5,6,4,2]=>[2,4,6,5,3,1]
[.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[1,3,6,5,4,2]=>[2,4,5,6,3,1]
[.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>[1,6,3,4,5,2]=>[2,5,4,3,6,1]
[.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>[1,6,3,5,4,2]=>[2,4,5,3,6,1]
[.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>[1,5,6,3,4,2]=>[2,4,3,6,5,1]
[.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>[1,6,5,3,4,2]=>[2,4,3,5,6,1]
[.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[1,4,5,6,3,2]=>[2,3,6,5,4,1]
[.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[1,4,6,5,3,2]=>[2,3,5,6,4,1]
[.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>[1,6,4,5,3,2]=>[2,3,5,4,6,1]
[.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[1,5,6,4,3,2]=>[2,3,4,6,5,1]
[.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]
[[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[5,4,3,2,1,6]
[[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>[6,1,2,3,5,4]=>[4,5,3,2,1,6]
[[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>[6,1,2,5,3,4]=>[4,3,5,2,1,6]
[[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>[6,1,2,4,5,3]=>[3,5,4,2,1,6]
[[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>[6,1,2,5,4,3]=>[3,4,5,2,1,6]
[[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>[6,1,5,2,3,4]=>[4,3,2,5,1,6]
[[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>[6,1,5,2,4,3]=>[3,4,2,5,1,6]
[[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>[6,1,4,5,2,3]=>[3,2,5,4,1,6]
[[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>[6,1,5,4,2,3]=>[3,2,4,5,1,6]
[[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>[6,1,3,4,5,2]=>[2,5,4,3,1,6]
[[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>[6,1,3,5,4,2]=>[2,4,5,3,1,6]
[[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>[6,1,5,3,4,2]=>[2,4,3,5,1,6]
[[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>[6,1,4,5,3,2]=>[2,3,5,4,1,6]
[[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[6,1,5,4,3,2]=>[2,3,4,5,1,6]
[[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[5,6,1,2,3,4]=>[4,3,2,1,6,5]
[[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>[5,6,1,2,4,3]=>[3,4,2,1,6,5]
[[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>[5,6,1,4,2,3]=>[3,2,4,1,6,5]
[[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>[5,6,1,3,4,2]=>[2,4,3,1,6,5]
[[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[5,6,1,4,3,2]=>[2,3,4,1,6,5]
[[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>[4,3,2,1,5,6]
[[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>[6,5,1,2,4,3]=>[3,4,2,1,5,6]
[[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>[6,5,1,4,2,3]=>[3,2,4,1,5,6]
[[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>[6,5,1,3,4,2]=>[2,4,3,1,5,6]
[[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[6,5,1,4,3,2]=>[2,3,4,1,5,6]
[[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]
[[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>[4,5,6,1,3,2]=>[2,3,1,6,5,4]
[[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>[4,6,5,1,2,3]=>[3,2,1,5,6,4]
[[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2]=>[2,3,1,5,6,4]
[[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[6,4,5,1,2,3]=>[3,2,1,5,4,6]
[[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[6,4,5,1,3,2]=>[2,3,1,5,4,6]
[[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[5,6,4,1,2,3]=>[3,2,1,4,6,5]
[[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[5,6,4,1,3,2]=>[2,3,1,4,6,5]
[[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>[3,2,1,4,5,6]
[[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[6,5,4,1,3,2]=>[2,3,1,4,5,6]
[[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[3,4,5,6,1,2]=>[2,1,6,5,4,3]
[[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>[3,4,6,5,1,2]=>[2,1,5,6,4,3]
[[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>[3,6,4,5,1,2]=>[2,1,5,4,6,3]
[[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>[3,5,6,4,1,2]=>[2,1,4,6,5,3]
[[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[3,6,5,4,1,2]=>[2,1,4,5,6,3]
[[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[6,3,4,5,1,2]=>[2,1,5,4,3,6]
[[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[6,3,5,4,1,2]=>[2,1,4,5,3,6]
[[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]
[[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[6,5,3,4,1,2]=>[2,1,4,3,5,6]
[[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[4,5,6,3,1,2]=>[2,1,3,6,5,4]
[[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[4,6,5,3,1,2]=>[2,1,3,5,6,4]
[[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[6,4,5,3,1,2]=>[2,1,3,5,4,6]
[[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]
[[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2]=>[2,1,3,4,5,6]
[[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[1,6,5,4,3,2]
[[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[2,3,4,6,5,1]=>[1,5,6,4,3,2]
[[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>[2,3,6,4,5,1]=>[1,5,4,6,3,2]
[[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[2,3,5,6,4,1]=>[1,4,6,5,3,2]
[[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[2,3,6,5,4,1]=>[1,4,5,6,3,2]
[[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>[2,6,3,4,5,1]=>[1,5,4,3,6,2]
[[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>[2,6,3,5,4,1]=>[1,4,5,3,6,2]
[[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>[2,5,6,3,4,1]=>[1,4,3,6,5,2]
[[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>[2,6,5,3,4,1]=>[1,4,3,5,6,2]
[[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[2,4,5,6,3,1]=>[1,3,6,5,4,2]
[[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[2,4,6,5,3,1]=>[1,3,5,6,4,2]
[[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>[2,6,4,5,3,1]=>[1,3,5,4,6,2]
[[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[2,5,6,4,3,1]=>[1,3,4,6,5,2]
[[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[2,6,5,4,3,1]=>[1,3,4,5,6,2]
[[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]
[[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>[6,2,3,5,4,1]=>[1,4,5,3,2,6]
[[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>[6,2,5,3,4,1]=>[1,4,3,5,2,6]
[[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>[6,2,4,5,3,1]=>[1,3,5,4,2,6]
[[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1]=>[1,3,4,5,2,6]
[[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[5,6,2,3,4,1]=>[1,4,3,2,6,5]
[[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[5,6,2,4,3,1]=>[1,3,4,2,6,5]
[[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[6,5,2,3,4,1]=>[1,4,3,2,5,6]
[[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[6,5,2,4,3,1]=>[1,3,4,2,5,6]
[[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[4,5,6,2,3,1]=>[1,3,2,6,5,4]
[[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[4,6,5,2,3,1]=>[1,3,2,5,6,4]
[[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]
[[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[5,6,4,2,3,1]=>[1,3,2,4,6,5]
[[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[6,5,4,2,3,1]=>[1,3,2,4,5,6]
[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>[1,2,6,5,4,3]
[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[3,4,6,5,2,1]=>[1,2,5,6,4,3]
[[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>[3,6,4,5,2,1]=>[1,2,5,4,6,3]
[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[3,5,6,4,2,1]=>[1,2,4,6,5,3]
[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[3,6,5,4,2,1]=>[1,2,4,5,6,3]
[[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[6,3,4,5,2,1]=>[1,2,5,4,3,6]
[[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[6,3,5,4,2,1]=>[1,2,4,5,3,6]
[[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[5,6,3,4,2,1]=>[1,2,4,3,6,5]
[[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]
[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[4,5,6,3,2,1]=>[1,2,3,6,5,4]
[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[4,6,5,3,2,1]=>[1,2,3,5,6,4]
[[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[6,4,5,3,2,1]=>[1,2,3,5,4,6]
[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[5,6,4,3,2,1]=>[1,2,3,4,6,5]
[[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1]
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1]
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>[1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1]
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1]
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>[1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1]
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>[1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1]
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]
[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1]
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>[1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1]
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>[1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1]
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>[1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1]
[.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]=>[1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1]
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>[1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1]
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>[1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1]
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>[1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1]
[.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>[1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1]
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>[1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1]
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1]
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>[1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1]
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>[1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1]
[.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]=>[1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1]
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>[1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1]
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]
[.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>[1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1]
[.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]=>[1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1]
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>[1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1]
[.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]=>[1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1]
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]
[.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]
[.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>[1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1]
[.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]
[.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>[1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1]
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>[1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1]
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>[1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1]
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>[1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1]
[.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>[1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1]
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]=>[1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1]
[.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]=>[1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1]
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>[1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1]
[.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>[1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1]
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>[1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1]
[.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>[1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1]
[.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]=>[1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1]
[.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>[1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1]
[.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>[1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1]
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]=>[1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1]
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>[1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1]
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>[1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1]
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>[1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1]
[.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>[1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1]
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]=>[1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1]
[.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]=>[1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1]
[.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>[1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1]
[.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]=>[1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1]
[.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>[1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1]
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>[1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1]
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]=>[1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1]
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>[1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1]
[.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>[1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1]
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>[1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1]
[.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]=>[1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1]
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>[1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1]
[.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]=>[1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1]
[.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>[1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1]
[.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>[1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1]
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>[1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1]
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]=>[1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1]
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]=>[1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1]
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]=>[1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1]
[.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>[1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1]
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]=>[1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1]
[.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>[1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1]
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]=>[1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1]
[.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]=>[1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1]
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]=>[1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1]
[.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>[1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1]
[.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]=>[1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1]
[.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]=>[1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1]
[.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>[1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1]
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]=>[1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1]
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]
[.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]=>[1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1]
[.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]=>[1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1]
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]=>[1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1]
[.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]=>[1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1]
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]
[.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]
[.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]=>[1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1]
[.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]
[.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]=>[1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1]
[.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]=>[1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1]
[.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>[1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1]
[.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]=>[1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1]
[.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>[1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1]
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]=>[1,6,7,3,4,5,2]=>[2,5,4,3,7,6,1]
[.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]=>[1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1]
[.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>[1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1]
[.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>[1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1]
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]=>[1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1]
[.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]=>[1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1]
[.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]=>[1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1]
[.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]=>[1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1]
[.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]=>[1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1]
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]
[.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]
[.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]=>[1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1]
[.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]
[.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]
[.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]=>[1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1]
[.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]=>[1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1]
[.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]=>[1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1]
[.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>[1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1]
[.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]
[.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]
[.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]=>[1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1]
[.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]
[.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7]
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>[7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7]
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>[7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7]
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>[7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7]
[[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>[7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7]
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>[7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7]
[[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>[7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7]
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>[7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7]
[[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>[7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7]
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>[7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7]
[[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>[7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7]
[[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>[7,1,2,6,4,5,3]=>[3,5,4,6,2,1,7]
[[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>[7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7]
[[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>[7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7]
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>[7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7]
[[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>[7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7]
[[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>[7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7]
[[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>[7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7]
[[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>[7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7]
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>[7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7]
[[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>[7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7]
[[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>[7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7]
[[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>[7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7]
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>[7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7]
[[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>[7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7]
[[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>[7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7]
[[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>[7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7]
[[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>[7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7]
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>[7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7]
[[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>[7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7]
[[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>[7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7]
[[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>[7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7]
[[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>[7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7]
[[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>[7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7]
[[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>[7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7]
[[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>[7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7]
[[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>[7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7]
[[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>[7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7]
[[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>[7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7]
[[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>[7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7]
[[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>[7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7]
[[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7]
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6]
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]=>[6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6]
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]=>[6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6]
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]=>[6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6]
[[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]=>[6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6]
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]=>[6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6]
[[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]=>[6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6]
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]=>[6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6]
[[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]=>[6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6]
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]=>[6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6]
[[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]=>[6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6]
[[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]=>[6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6]
[[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]=>[6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6]
[[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>[6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6]
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7]
[[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>[7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7]
[[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>[7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7]
[[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>[7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7]
[[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>[7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7]
[[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>[7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7]
[[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>[7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7]
[[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>[7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7]
[[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>[7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7]
[[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>[7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7]
[[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>[7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7]
[[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>[7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7]
[[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>[7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7]
[[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7]
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5]
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]=>[5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5]
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]=>[5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5]
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]=>[5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5]
[[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]=>[5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5]
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]=>[5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5]
[[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]=>[5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5]
[[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]=>[5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5]
[[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]=>[5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5]
[[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>[5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5]
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7]
[[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>[7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7]
[[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>[7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7]
[[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>[7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7]
[[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>[7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7]
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6]
[[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]=>[6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6]
[[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]=>[6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6]
[[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]=>[6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6]
[[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>[6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6]
[[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7]
[[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>[7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7]
[[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>[7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7]
[[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>[7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7]
[[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7]
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4]
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]=>[4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4]
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]=>[4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4]
[[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]=>[4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4]
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]=>[4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4]
[[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]=>[4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4]
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]=>[4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4]
[[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]=>[4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4]
[[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]=>[4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4]
[[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>[4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4]
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7]
[[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>[7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7]
[[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>[7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7]
[[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>[7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7]
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6]
[[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>[6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6]
[[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7]
[[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>[7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7]
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]
[[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]=>[5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5]
[[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]=>[5,7,6,4,1,2,3]=>[3,2,1,4,6,7,5]
[[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5]
[[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7]
[[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>[7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7]
[[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6]
[[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>[6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6]
[[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7]
[[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7]
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3]
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]=>[3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3]
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]=>[3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3]
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]=>[3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3]
[[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]=>[3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3]
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]=>[3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3]
[[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]=>[3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3]
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]=>[3,6,7,4,5,1,2]=>[2,1,5,4,7,6,3]
[[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]=>[3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3]
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]=>[3,5,6,7,4,1,2]=>[2,1,4,7,6,5,3]
[[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]=>[3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3]
[[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]=>[3,7,5,6,4,1,2]=>[2,1,4,6,5,7,3]
[[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]=>[3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3]
[[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>[3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3]
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7]
[[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>[7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7]
[[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>[7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7]
[[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>[7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7]
[[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>[7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7]
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]
[[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6]
[[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>[7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7]
[[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>[7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7]
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5]
[[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>[5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5]
[[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>[7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7]
[[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>[6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6]
[[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>[7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7]
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4]
[[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]=>[4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4]
[[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]=>[4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4]
[[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]=>[4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4]
[[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>[4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4]
[[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7]
[[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>[7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7]
[[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>[6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6]
[[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>[7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7]
[[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5]
[[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>[5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5]
[[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>[7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7]
[[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]
[[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7]
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>[2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2]
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]
[[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>[2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2]
[[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>[2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2]
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>[2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2]
[[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]=>[2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2]
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]
[[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]
[[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]=>[2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2]
[[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>[2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]
[[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>[2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2]
[[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]=>[2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2]
[[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]=>[2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2]
[[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]=>[2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2]
[[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]=>[2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2]
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]=>[2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2]
[[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]=>[2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2]
[[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]=>[2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2]
[[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]=>[2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2]
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]=>[2,5,6,7,3,4,1]=>[1,4,3,7,6,5,2]
[[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]=>[2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2]
[[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]=>[2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2]
[[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]=>[2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2]
[[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]=>[2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2]
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]
[[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]
[[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]=>[2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2]
[[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>[2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]
[[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]
[[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]=>[2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2]
[[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]=>[2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2]
[[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]=>[2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2]
[[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]=>[2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2]
[[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]
[[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]
[[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]=>[2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2]
[[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]
[[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]
[[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>[7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7]
[[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>[7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7]
[[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>[7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7]
[[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>[7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7]
[[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>[7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7]
[[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>[7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7]
[[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>[7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7]
[[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>[7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7]
[[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>[7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7]
[[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>[7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7]
[[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>[7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7]
[[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>[7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7]
[[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7]
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6]
[[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]=>[6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6]
[[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]=>[6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6]
[[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]=>[6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6]
[[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>[6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6]
[[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7]
[[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>[7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7]
[[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>[7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7]
[[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>[7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7]
[[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>[7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7]
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5]
[[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]=>[5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5]
[[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]=>[5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5]
[[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>[5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5]
[[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7]
[[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>[7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7]
[[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6]
[[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>[6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6]
[[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7]
[[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>[7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7]
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4]
[[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]=>[4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4]
[[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]=>[4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4]
[[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]=>[4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4]
[[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>[4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4]
[[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7]
[[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>[7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7]
[[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>[6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6]
[[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>[7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7]
[[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5]
[[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>[5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5]
[[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]
[[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>[6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6]
[[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7]
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]
[[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]
[[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]=>[3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3]
[[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]
[[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]
[[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]=>[3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3]
[[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]=>[3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3]
[[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]=>[3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3]
[[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]=>[3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3]
[[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>[3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]
[[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]
[[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]=>[3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3]
[[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]
[[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]
[[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7]
[[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>[7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7]
[[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>[7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7]
[[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>[7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7]
[[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7]
[[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6]
[[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>[6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6]
[[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]
[[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7]
[[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>[5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5]
[[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>[5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5]
[[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>[7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7]
[[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>[6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6]
[[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>[7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7]
[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]
[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]
[[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]=>[4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4]
[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]
[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]
[[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7]
[[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7]
[[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>[6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6]
[[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>[7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7]
[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]
[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]
[[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7]
[[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6]
[[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]
[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,6,7]=>[7,6,8,5,4,3,2,1]
[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,1]
[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]
[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,5,6,7]=>[7,6,5,8,4,3,2,1]
[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[5,7,8,6,4,3,2,1]=>[1,2,3,4,6,8,7,5]=>[1,2,3,4,8,5,7,6]=>[6,7,5,8,4,3,2,1]
[.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[6,5,8,7,4,3,2,1]=>[1,2,3,4,7,8,5,6]=>[1,2,3,4,7,8,5,6]=>[6,5,8,7,4,3,2,1]
[.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5]=>[1,2,3,4,8,7,5,6]=>[6,5,7,8,4,3,2,1]
[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5]=>[5,8,7,6,4,3,2,1]
[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,6,8,7,5]=>[5,7,8,6,4,3,2,1]
[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[5,7,6,8,4,3,2,1]=>[1,2,3,4,8,6,7,5]=>[1,2,3,4,8,6,7,5]=>[5,7,6,8,4,3,2,1]
[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[1,2,3,4,8,7,5,6]=>[1,2,3,4,7,8,6,5]=>[5,6,8,7,4,3,2,1]
[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]
[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,4,5,6,7]=>[7,6,5,4,8,3,2,1]
[.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[4,7,8,6,5,3,2,1]=>[1,2,3,5,6,8,7,4]=>[1,2,3,8,4,5,7,6]=>[6,7,5,4,8,3,2,1]
[.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[4,6,8,7,5,3,2,1]=>[1,2,3,5,7,8,6,4]=>[1,2,3,8,4,7,5,6]=>[6,5,7,4,8,3,2,1]
[.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[4,7,6,8,5,3,2,1]=>[1,2,3,5,8,6,7,4]=>[1,2,3,8,4,6,7,5]=>[5,7,6,4,8,3,2,1]
[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[4,6,7,8,5,3,2,1]=>[1,2,3,5,8,7,6,4]=>[1,2,3,8,4,7,6,5]=>[5,6,7,4,8,3,2,1]
[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[5,4,8,7,6,3,2,1]=>[1,2,3,6,7,8,4,5]=>[1,2,3,7,8,4,5,6]=>[6,5,4,8,7,3,2,1]
[.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[5,4,7,8,6,3,2,1]=>[1,2,3,6,8,7,4,5]=>[1,2,3,7,8,4,6,5]=>[5,6,4,8,7,3,2,1]
[.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[4,5,8,7,6,3,2,1]=>[1,2,3,6,7,8,5,4]=>[1,2,3,8,7,4,5,6]=>[6,5,4,7,8,3,2,1]
[.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[4,5,7,8,6,3,2,1]=>[1,2,3,6,8,7,5,4]=>[1,2,3,8,7,4,6,5]=>[5,6,4,7,8,3,2,1]
[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[6,5,4,8,7,3,2,1]=>[1,2,3,7,8,4,5,6]=>[1,2,3,6,7,8,4,5]=>[5,4,8,7,6,3,2,1]
[.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[5,6,4,8,7,3,2,1]=>[1,2,3,7,8,4,6,5]=>[1,2,3,6,8,7,4,5]=>[5,4,7,8,6,3,2,1]
[.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[4,6,5,8,7,3,2,1]=>[1,2,3,7,8,5,6,4]=>[1,2,3,8,6,7,4,5]=>[5,4,7,6,8,3,2,1]
[.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>[5,4,6,8,7,3,2,1]=>[1,2,3,7,8,6,4,5]=>[1,2,3,7,8,6,4,5]=>[5,4,6,8,7,3,2,1]
[.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[4,5,6,8,7,3,2,1]=>[1,2,3,7,8,6,5,4]=>[1,2,3,8,7,6,4,5]=>[5,4,6,7,8,3,2,1]
[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]
[.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[1,2,3,8,4,5,7,6]=>[1,2,3,5,6,8,7,4]=>[4,7,8,6,5,3,2,1]
[.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[5,7,6,4,8,3,2,1]=>[1,2,3,8,4,6,7,5]=>[1,2,3,5,8,6,7,4]=>[4,7,6,8,5,3,2,1]
[.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,5,7,8,6,4]=>[4,6,8,7,5,3,2,1]
[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[1,2,3,8,4,7,6,5]=>[1,2,3,5,8,7,6,4]=>[4,6,7,8,5,3,2,1]
[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[4,7,6,5,8,3,2,1]=>[1,2,3,8,5,6,7,4]=>[1,2,3,8,5,6,7,4]=>[4,7,6,5,8,3,2,1]
[.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[4,6,7,5,8,3,2,1]=>[1,2,3,8,5,7,6,4]=>[1,2,3,8,5,7,6,4]=>[4,6,7,5,8,3,2,1]
[.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[5,4,7,6,8,3,2,1]=>[1,2,3,8,6,7,4,5]=>[1,2,3,7,8,5,6,4]=>[4,6,5,8,7,3,2,1]
[.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[4,5,7,6,8,3,2,1]=>[1,2,3,8,6,7,5,4]=>[1,2,3,8,7,5,6,4]=>[4,6,5,7,8,3,2,1]
[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[1,2,3,8,7,4,5,6]=>[1,2,3,6,7,8,5,4]=>[4,5,8,7,6,3,2,1]
[.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[1,2,3,8,7,4,6,5]=>[1,2,3,6,8,7,5,4]=>[4,5,7,8,6,3,2,1]
[.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[4,6,5,7,8,3,2,1]=>[1,2,3,8,7,5,6,4]=>[1,2,3,8,6,7,5,4]=>[4,5,7,6,8,3,2,1]
[.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[1,2,3,8,7,6,4,5]=>[1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]
[.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]
[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[3,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,3]=>[1,2,8,3,4,5,6,7]=>[7,6,5,4,3,8,2,1]
[.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[3,7,8,6,5,4,2,1]=>[1,2,4,5,6,8,7,3]=>[1,2,8,3,4,5,7,6]=>[6,7,5,4,3,8,2,1]
[.,[.,[[.,.],[.,[[.,.],[.,.]]]]]]=>[3,6,8,7,5,4,2,1]=>[1,2,4,5,7,8,6,3]=>[1,2,8,3,4,7,5,6]=>[6,5,7,4,3,8,2,1]
[.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[3,7,6,8,5,4,2,1]=>[1,2,4,5,8,6,7,3]=>[1,2,8,3,4,6,7,5]=>[5,7,6,4,3,8,2,1]
[.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[3,6,7,8,5,4,2,1]=>[1,2,4,5,8,7,6,3]=>[1,2,8,3,4,7,6,5]=>[5,6,7,4,3,8,2,1]
[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[3,5,8,7,6,4,2,1]=>[1,2,4,6,7,8,5,3]=>[1,2,8,3,7,4,5,6]=>[6,5,4,7,3,8,2,1]
[.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[3,5,7,8,6,4,2,1]=>[1,2,4,6,8,7,5,3]=>[1,2,8,3,7,4,6,5]=>[5,6,4,7,3,8,2,1]
[.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[3,6,5,8,7,4,2,1]=>[1,2,4,7,8,5,6,3]=>[1,2,8,3,6,7,4,5]=>[5,4,7,6,3,8,2,1]
[.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[3,5,6,8,7,4,2,1]=>[1,2,4,7,8,6,5,3]=>[1,2,8,3,7,6,4,5]=>[5,4,6,7,3,8,2,1]
[.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[3,7,6,5,8,4,2,1]=>[1,2,4,8,5,6,7,3]=>[1,2,8,3,5,6,7,4]=>[4,7,6,5,3,8,2,1]
[.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[3,6,7,5,8,4,2,1]=>[1,2,4,8,5,7,6,3]=>[1,2,8,3,5,7,6,4]=>[4,6,7,5,3,8,2,1]
[.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>[3,5,7,6,8,4,2,1]=>[1,2,4,8,6,7,5,3]=>[1,2,8,3,7,5,6,4]=>[4,6,5,7,3,8,2,1]
[.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>[3,6,5,7,8,4,2,1]=>[1,2,4,8,7,5,6,3]=>[1,2,8,3,6,7,5,4]=>[4,5,7,6,3,8,2,1]
[.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>[1,2,4,8,7,6,5,3]=>[1,2,8,3,7,6,5,4]=>[4,5,6,7,3,8,2,1]
[.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[4,3,8,7,6,5,2,1]=>[1,2,5,6,7,8,3,4]=>[1,2,7,8,3,4,5,6]=>[6,5,4,3,8,7,2,1]
[.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[4,3,7,8,6,5,2,1]=>[1,2,5,6,8,7,3,4]=>[1,2,7,8,3,4,6,5]=>[5,6,4,3,8,7,2,1]
[.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[4,3,6,8,7,5,2,1]=>[1,2,5,7,8,6,3,4]=>[1,2,7,8,3,6,4,5]=>[5,4,6,3,8,7,2,1]
[.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[4,3,7,6,8,5,2,1]=>[1,2,5,8,6,7,3,4]=>[1,2,7,8,3,5,6,4]=>[4,6,5,3,8,7,2,1]
[.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[4,3,6,7,8,5,2,1]=>[1,2,5,8,7,6,3,4]=>[1,2,7,8,3,6,5,4]=>[4,5,6,3,8,7,2,1]
[.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[3,4,8,7,6,5,2,1]=>[1,2,5,6,7,8,4,3]=>[1,2,8,7,3,4,5,6]=>[6,5,4,3,7,8,2,1]
[.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[3,4,7,8,6,5,2,1]=>[1,2,5,6,8,7,4,3]=>[1,2,8,7,3,4,6,5]=>[5,6,4,3,7,8,2,1]
[.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[3,4,6,8,7,5,2,1]=>[1,2,5,7,8,6,4,3]=>[1,2,8,7,3,6,4,5]=>[5,4,6,3,7,8,2,1]
[.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[3,4,7,6,8,5,2,1]=>[1,2,5,8,6,7,4,3]=>[1,2,8,7,3,5,6,4]=>[4,6,5,3,7,8,2,1]
[.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[3,4,6,7,8,5,2,1]=>[1,2,5,8,7,6,4,3]=>[1,2,8,7,3,6,5,4]=>[4,5,6,3,7,8,2,1]
[.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[5,4,3,8,7,6,2,1]=>[1,2,6,7,8,3,4,5]=>[1,2,6,7,8,3,4,5]=>[5,4,3,8,7,6,2,1]
[.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[5,4,3,7,8,6,2,1]=>[1,2,6,8,7,3,4,5]=>[1,2,6,7,8,3,5,4]=>[4,5,3,8,7,6,2,1]
[.,[.,[[.,[[.,.],.]],[.,[.,.]]]]]=>[4,5,3,8,7,6,2,1]=>[1,2,6,7,8,3,5,4]=>[1,2,6,8,7,3,4,5]=>[5,4,3,7,8,6,2,1]
[.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>[4,5,3,7,8,6,2,1]=>[1,2,6,8,7,3,5,4]=>[1,2,6,8,7,3,5,4]=>[4,5,3,7,8,6,2,1]
[.,[.,[[[.,.],[.,.]],[.,[.,.]]]]]=>[3,5,4,8,7,6,2,1]=>[1,2,6,7,8,4,5,3]=>[1,2,8,6,7,3,4,5]=>[5,4,3,7,6,8,2,1]
[.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[3,5,4,7,8,6,2,1]=>[1,2,6,8,7,4,5,3]=>[1,2,8,6,7,3,5,4]=>[4,5,3,7,6,8,2,1]
[.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[4,3,5,8,7,6,2,1]=>[1,2,6,7,8,5,3,4]=>[1,2,7,8,6,3,4,5]=>[5,4,3,6,8,7,2,1]
[.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[4,3,5,7,8,6,2,1]=>[1,2,6,8,7,5,3,4]=>[1,2,7,8,6,3,5,4]=>[4,5,3,6,8,7,2,1]
[.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]=>[1,2,8,7,6,3,4,5]=>[5,4,3,6,7,8,2,1]
[.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>[3,4,5,7,8,6,2,1]=>[1,2,6,8,7,5,4,3]=>[1,2,8,7,6,3,5,4]=>[4,5,3,6,7,8,2,1]
[.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[6,5,4,3,8,7,2,1]=>[1,2,7,8,3,4,5,6]=>[1,2,5,6,7,8,3,4]=>[4,3,8,7,6,5,2,1]
[.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[5,6,4,3,8,7,2,1]=>[1,2,7,8,3,4,6,5]=>[1,2,5,6,8,7,3,4]=>[4,3,7,8,6,5,2,1]
[.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[4,6,5,3,8,7,2,1]=>[1,2,7,8,3,5,6,4]=>[1,2,5,8,6,7,3,4]=>[4,3,7,6,8,5,2,1]
[.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[5,4,6,3,8,7,2,1]=>[1,2,7,8,3,6,4,5]=>[1,2,5,7,8,6,3,4]=>[4,3,6,8,7,5,2,1]
[.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>[4,5,6,3,8,7,2,1]=>[1,2,7,8,3,6,5,4]=>[1,2,5,8,7,6,3,4]=>[4,3,6,7,8,5,2,1]
[.,[.,[[[.,.],[.,[.,.]]],[.,.]]]]=>[3,6,5,4,8,7,2,1]=>[1,2,7,8,4,5,6,3]=>[1,2,8,5,6,7,3,4]=>[4,3,7,6,5,8,2,1]
[.,[.,[[[.,.],[[.,.],.]],[.,.]]]]=>[3,5,6,4,8,7,2,1]=>[1,2,7,8,4,6,5,3]=>[1,2,8,5,7,6,3,4]=>[4,3,6,7,5,8,2,1]
[.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[4,3,6,5,8,7,2,1]=>[1,2,7,8,5,6,3,4]=>[1,2,7,8,5,6,3,4]=>[4,3,6,5,8,7,2,1]
[.,[.,[[[[.,.],.],[.,.]],[.,.]]]]=>[3,4,6,5,8,7,2,1]=>[1,2,7,8,5,6,4,3]=>[1,2,8,7,5,6,3,4]=>[4,3,6,5,7,8,2,1]
[.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[5,4,3,6,8,7,2,1]=>[1,2,7,8,6,3,4,5]=>[1,2,6,7,8,5,3,4]=>[4,3,5,8,7,6,2,1]
[.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>[4,5,3,6,8,7,2,1]=>[1,2,7,8,6,3,5,4]=>[1,2,6,8,7,5,3,4]=>[4,3,5,7,8,6,2,1]
[.,[.,[[[[.,.],[.,.]],.],[.,.]]]]=>[3,5,4,6,8,7,2,1]=>[1,2,7,8,6,4,5,3]=>[1,2,8,6,7,5,3,4]=>[4,3,5,7,6,8,2,1]
[.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>[4,3,5,6,8,7,2,1]=>[1,2,7,8,6,5,3,4]=>[1,2,7,8,6,5,3,4]=>[4,3,5,6,8,7,2,1]
[.,[.,[[[[[.,.],.],.],.],[.,.]]]]=>[3,4,5,6,8,7,2,1]=>[1,2,7,8,6,5,4,3]=>[1,2,8,7,6,5,3,4]=>[4,3,5,6,7,8,2,1]
[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,1]
[.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[6,7,5,4,3,8,2,1]=>[1,2,8,3,4,5,7,6]=>[1,2,4,5,6,8,7,3]=>[3,7,8,6,5,4,2,1]
[.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[5,7,6,4,3,8,2,1]=>[1,2,8,3,4,6,7,5]=>[1,2,4,5,8,6,7,3]=>[3,7,6,8,5,4,2,1]
[.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]=>[6,5,7,4,3,8,2,1]=>[1,2,8,3,4,7,5,6]=>[1,2,4,5,7,8,6,3]=>[3,6,8,7,5,4,2,1]
[.,[.,[[.,[.,[[[.,.],.],.]]],.]]]=>[5,6,7,4,3,8,2,1]=>[1,2,8,3,4,7,6,5]=>[1,2,4,5,8,7,6,3]=>[3,6,7,8,5,4,2,1]
[.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[4,7,6,5,3,8,2,1]=>[1,2,8,3,5,6,7,4]=>[1,2,4,8,5,6,7,3]=>[3,7,6,5,8,4,2,1]
[.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[4,6,7,5,3,8,2,1]=>[1,2,8,3,5,7,6,4]=>[1,2,4,8,5,7,6,3]=>[3,6,7,5,8,4,2,1]
[.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[5,4,7,6,3,8,2,1]=>[1,2,8,3,6,7,4,5]=>[1,2,4,7,8,5,6,3]=>[3,6,5,8,7,4,2,1]
[.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[4,5,7,6,3,8,2,1]=>[1,2,8,3,6,7,5,4]=>[1,2,4,8,7,5,6,3]=>[3,6,5,7,8,4,2,1]
[.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[6,5,4,7,3,8,2,1]=>[1,2,8,3,7,4,5,6]=>[1,2,4,6,7,8,5,3]=>[3,5,8,7,6,4,2,1]
[.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>[5,6,4,7,3,8,2,1]=>[1,2,8,3,7,4,6,5]=>[1,2,4,6,8,7,5,3]=>[3,5,7,8,6,4,2,1]
[.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[4,6,5,7,3,8,2,1]=>[1,2,8,3,7,5,6,4]=>[1,2,4,8,6,7,5,3]=>[3,5,7,6,8,4,2,1]
[.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[1,2,8,3,7,6,4,5]=>[1,2,4,7,8,6,5,3]=>[3,5,6,8,7,4,2,1]
[.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[1,2,8,3,7,6,5,4]=>[1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]
[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>[3,7,6,5,4,8,2,1]=>[1,2,8,4,5,6,7,3]=>[1,2,8,4,5,6,7,3]=>[3,7,6,5,4,8,2,1]
[.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>[3,6,7,5,4,8,2,1]=>[1,2,8,4,5,7,6,3]=>[1,2,8,4,5,7,6,3]=>[3,6,7,5,4,8,2,1]
[.,[.,[[[.,.],[[.,.],[.,.]]],.]]]=>[3,5,7,6,4,8,2,1]=>[1,2,8,4,6,7,5,3]=>[1,2,8,4,7,5,6,3]=>[3,6,5,7,4,8,2,1]
[.,[.,[[[.,.],[[.,[.,.]],.]],.]]]=>[3,6,5,7,4,8,2,1]=>[1,2,8,4,7,5,6,3]=>[1,2,8,4,6,7,5,3]=>[3,5,7,6,4,8,2,1]
[.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>[3,5,6,7,4,8,2,1]=>[1,2,8,4,7,6,5,3]=>[1,2,8,4,7,6,5,3]=>[3,5,6,7,4,8,2,1]
[.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>[4,3,7,6,5,8,2,1]=>[1,2,8,5,6,7,3,4]=>[1,2,7,8,4,5,6,3]=>[3,6,5,4,8,7,2,1]
[.,[.,[[[.,[.,.]],[[.,.],.]],.]]]=>[4,3,6,7,5,8,2,1]=>[1,2,8,5,7,6,3,4]=>[1,2,7,8,4,6,5,3]=>[3,5,6,4,8,7,2,1]
[.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[3,4,7,6,5,8,2,1]=>[1,2,8,5,6,7,4,3]=>[1,2,8,7,4,5,6,3]=>[3,6,5,4,7,8,2,1]
[.,[.,[[[[.,.],.],[[.,.],.]],.]]]=>[3,4,6,7,5,8,2,1]=>[1,2,8,5,7,6,4,3]=>[1,2,8,7,4,6,5,3]=>[3,5,6,4,7,8,2,1]
[.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[5,4,3,7,6,8,2,1]=>[1,2,8,6,7,3,4,5]=>[1,2,6,7,8,4,5,3]=>[3,5,4,8,7,6,2,1]
[.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>[4,5,3,7,6,8,2,1]=>[1,2,8,6,7,3,5,4]=>[1,2,6,8,7,4,5,3]=>[3,5,4,7,8,6,2,1]
[.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[3,5,4,7,6,8,2,1]=>[1,2,8,6,7,4,5,3]=>[1,2,8,6,7,4,5,3]=>[3,5,4,7,6,8,2,1]
[.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>[4,3,5,7,6,8,2,1]=>[1,2,8,6,7,5,3,4]=>[1,2,7,8,6,4,5,3]=>[3,5,4,6,8,7,2,1]
[.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>[3,4,5,7,6,8,2,1]=>[1,2,8,6,7,5,4,3]=>[1,2,8,7,6,4,5,3]=>[3,5,4,6,7,8,2,1]
[.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[1,2,8,7,3,4,5,6]=>[1,2,5,6,7,8,4,3]=>[3,4,8,7,6,5,2,1]
[.,[.,[[[.,[.,[[.,.],.]]],.],.]]]=>[5,6,4,3,7,8,2,1]=>[1,2,8,7,3,4,6,5]=>[1,2,5,6,8,7,4,3]=>[3,4,7,8,6,5,2,1]
[.,[.,[[[.,[[.,.],[.,.]]],.],.]]]=>[4,6,5,3,7,8,2,1]=>[1,2,8,7,3,5,6,4]=>[1,2,5,8,6,7,4,3]=>[3,4,7,6,8,5,2,1]
[.,[.,[[[.,[[.,[.,.]],.]],.],.]]]=>[5,4,6,3,7,8,2,1]=>[1,2,8,7,3,6,4,5]=>[1,2,5,7,8,6,4,3]=>[3,4,6,8,7,5,2,1]
[.,[.,[[[.,[[[.,.],.],.]],.],.]]]=>[4,5,6,3,7,8,2,1]=>[1,2,8,7,3,6,5,4]=>[1,2,5,8,7,6,4,3]=>[3,4,6,7,8,5,2,1]
[.,[.,[[[[.,.],[.,[.,.]]],.],.]]]=>[3,6,5,4,7,8,2,1]=>[1,2,8,7,4,5,6,3]=>[1,2,8,5,6,7,4,3]=>[3,4,7,6,5,8,2,1]
[.,[.,[[[[.,.],[[.,.],.]],.],.]]]=>[3,5,6,4,7,8,2,1]=>[1,2,8,7,4,6,5,3]=>[1,2,8,5,7,6,4,3]=>[3,4,6,7,5,8,2,1]
[.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>[4,3,6,5,7,8,2,1]=>[1,2,8,7,5,6,3,4]=>[1,2,7,8,5,6,4,3]=>[3,4,6,5,8,7,2,1]
[.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[3,4,6,5,7,8,2,1]=>[1,2,8,7,5,6,4,3]=>[1,2,8,7,5,6,4,3]=>[3,4,6,5,7,8,2,1]
[.,[.,[[[[.,[.,[.,.]]],.],.],.]]]=>[5,4,3,6,7,8,2,1]=>[1,2,8,7,6,3,4,5]=>[1,2,6,7,8,5,4,3]=>[3,4,5,8,7,6,2,1]
[.,[.,[[[[.,[[.,.],.]],.],.],.]]]=>[4,5,3,6,7,8,2,1]=>[1,2,8,7,6,3,5,4]=>[1,2,6,8,7,5,4,3]=>[3,4,5,7,8,6,2,1]
[.,[.,[[[[[.,.],[.,.]],.],.],.]]]=>[3,5,4,6,7,8,2,1]=>[1,2,8,7,6,4,5,3]=>[1,2,8,6,7,5,4,3]=>[3,4,5,7,6,8,2,1]
[.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[4,3,5,6,7,8,2,1]=>[1,2,8,7,6,5,3,4]=>[1,2,7,8,6,5,4,3]=>[3,4,5,6,8,7,2,1]
[.,[.,[[[[[[.,.],.],.],.],.],.]]]=>[3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]
[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2]=>[1,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,1]
[.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[2,7,8,6,5,4,3,1]=>[1,3,4,5,6,8,7,2]=>[1,8,2,3,4,5,7,6]=>[6,7,5,4,3,2,8,1]
[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[2,6,8,7,5,4,3,1]=>[1,3,4,5,7,8,6,2]=>[1,8,2,3,4,7,5,6]=>[6,5,7,4,3,2,8,1]
[.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[2,7,6,8,5,4,3,1]=>[1,3,4,5,8,6,7,2]=>[1,8,2,3,4,6,7,5]=>[5,7,6,4,3,2,8,1]
[.,[[.,.],[.,[.,[[[.,.],.],.]]]]]=>[2,6,7,8,5,4,3,1]=>[1,3,4,5,8,7,6,2]=>[1,8,2,3,4,7,6,5]=>[5,6,7,4,3,2,8,1]
[.,[[.,.],[.,[[.,.],[.,[.,.]]]]]]=>[2,5,8,7,6,4,3,1]=>[1,3,4,6,7,8,5,2]=>[1,8,2,3,7,4,5,6]=>[6,5,4,7,3,2,8,1]
[.,[[.,.],[.,[[.,.],[[.,.],.]]]]]=>[2,5,7,8,6,4,3,1]=>[1,3,4,6,8,7,5,2]=>[1,8,2,3,7,4,6,5]=>[5,6,4,7,3,2,8,1]
[.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[2,6,5,8,7,4,3,1]=>[1,3,4,7,8,5,6,2]=>[1,8,2,3,6,7,4,5]=>[5,4,7,6,3,2,8,1]
[.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[2,5,6,8,7,4,3,1]=>[1,3,4,7,8,6,5,2]=>[1,8,2,3,7,6,4,5]=>[5,4,6,7,3,2,8,1]
[.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[2,7,6,5,8,4,3,1]=>[1,3,4,8,5,6,7,2]=>[1,8,2,3,5,6,7,4]=>[4,7,6,5,3,2,8,1]
[.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[2,6,7,5,8,4,3,1]=>[1,3,4,8,5,7,6,2]=>[1,8,2,3,5,7,6,4]=>[4,6,7,5,3,2,8,1]
[.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>[2,5,7,6,8,4,3,1]=>[1,3,4,8,6,7,5,2]=>[1,8,2,3,7,5,6,4]=>[4,6,5,7,3,2,8,1]
[.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>[2,6,5,7,8,4,3,1]=>[1,3,4,8,7,5,6,2]=>[1,8,2,3,6,7,5,4]=>[4,5,7,6,3,2,8,1]
[.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[2,5,6,7,8,4,3,1]=>[1,3,4,8,7,6,5,2]=>[1,8,2,3,7,6,5,4]=>[4,5,6,7,3,2,8,1]
[.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[2,4,8,7,6,5,3,1]=>[1,3,5,6,7,8,4,2]=>[1,8,2,7,3,4,5,6]=>[6,5,4,3,7,2,8,1]
[.,[[.,.],[[.,.],[.,[[.,.],.]]]]]=>[2,4,7,8,6,5,3,1]=>[1,3,5,6,8,7,4,2]=>[1,8,2,7,3,4,6,5]=>[5,6,4,3,7,2,8,1]
[.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2]=>[1,8,2,7,3,6,4,5]=>[5,4,6,3,7,2,8,1]
[.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[2,4,7,6,8,5,3,1]=>[1,3,5,8,6,7,4,2]=>[1,8,2,7,3,5,6,4]=>[4,6,5,3,7,2,8,1]
[.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[2,4,6,7,8,5,3,1]=>[1,3,5,8,7,6,4,2]=>[1,8,2,7,3,6,5,4]=>[4,5,6,3,7,2,8,1]
[.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[2,5,4,8,7,6,3,1]=>[1,3,6,7,8,4,5,2]=>[1,8,2,6,7,3,4,5]=>[5,4,3,7,6,2,8,1]
[.,[[.,.],[[.,[.,.]],[[.,.],.]]]]=>[2,5,4,7,8,6,3,1]=>[1,3,6,8,7,4,5,2]=>[1,8,2,6,7,3,5,4]=>[4,5,3,7,6,2,8,1]
[.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[2,4,5,8,7,6,3,1]=>[1,3,6,7,8,5,4,2]=>[1,8,2,7,6,3,4,5]=>[5,4,3,6,7,2,8,1]
[.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[2,4,5,7,8,6,3,1]=>[1,3,6,8,7,5,4,2]=>[1,8,2,7,6,3,5,4]=>[4,5,3,6,7,2,8,1]
[.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[2,6,5,4,8,7,3,1]=>[1,3,7,8,4,5,6,2]=>[1,8,2,5,6,7,3,4]=>[4,3,7,6,5,2,8,1]
[.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[2,5,6,4,8,7,3,1]=>[1,3,7,8,4,6,5,2]=>[1,8,2,5,7,6,3,4]=>[4,3,6,7,5,2,8,1]
[.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[2,4,6,5,8,7,3,1]=>[1,3,7,8,5,6,4,2]=>[1,8,2,7,5,6,3,4]=>[4,3,6,5,7,2,8,1]
[.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[2,5,4,6,8,7,3,1]=>[1,3,7,8,6,4,5,2]=>[1,8,2,6,7,5,3,4]=>[4,3,5,7,6,2,8,1]
[.,[[.,.],[[[[.,.],.],.],[.,.]]]]=>[2,4,5,6,8,7,3,1]=>[1,3,7,8,6,5,4,2]=>[1,8,2,7,6,5,3,4]=>[4,3,5,6,7,2,8,1]
[.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[2,7,6,5,4,8,3,1]=>[1,3,8,4,5,6,7,2]=>[1,8,2,4,5,6,7,3]=>[3,7,6,5,4,2,8,1]
[.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[2,6,7,5,4,8,3,1]=>[1,3,8,4,5,7,6,2]=>[1,8,2,4,5,7,6,3]=>[3,6,7,5,4,2,8,1]
[.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[2,5,7,6,4,8,3,1]=>[1,3,8,4,6,7,5,2]=>[1,8,2,4,7,5,6,3]=>[3,6,5,7,4,2,8,1]
[.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[2,6,5,7,4,8,3,1]=>[1,3,8,4,7,5,6,2]=>[1,8,2,4,6,7,5,3]=>[3,5,7,6,4,2,8,1]
[.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>[2,5,6,7,4,8,3,1]=>[1,3,8,4,7,6,5,2]=>[1,8,2,4,7,6,5,3]=>[3,5,6,7,4,2,8,1]
[.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[2,4,7,6,5,8,3,1]=>[1,3,8,5,6,7,4,2]=>[1,8,2,7,4,5,6,3]=>[3,6,5,4,7,2,8,1]
[.,[[.,.],[[[.,.],[[.,.],.]],.]]]=>[2,4,6,7,5,8,3,1]=>[1,3,8,5,7,6,4,2]=>[1,8,2,7,4,6,5,3]=>[3,5,6,4,7,2,8,1]
[.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[2,5,4,7,6,8,3,1]=>[1,3,8,6,7,4,5,2]=>[1,8,2,6,7,4,5,3]=>[3,5,4,7,6,2,8,1]
[.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>[2,6,5,4,7,8,3,1]=>[1,3,8,7,4,5,6,2]=>[1,8,2,5,6,7,4,3]=>[3,4,7,6,5,2,8,1]
[.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[2,5,6,4,7,8,3,1]=>[1,3,8,7,4,6,5,2]=>[1,8,2,5,7,6,4,3]=>[3,4,6,7,5,2,8,1]
[.,[[.,.],[[[[.,.],[.,.]],.],.]]]=>[2,4,6,5,7,8,3,1]=>[1,3,8,7,5,6,4,2]=>[1,8,2,7,5,6,4,3]=>[3,4,6,5,7,2,8,1]
[.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>[2,5,4,6,7,8,3,1]=>[1,3,8,7,6,4,5,2]=>[1,8,2,6,7,5,4,3]=>[3,4,5,7,6,2,8,1]
[.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[2,4,5,6,7,8,3,1]=>[1,3,8,7,6,5,4,2]=>[1,8,2,7,6,5,4,3]=>[3,4,5,6,7,2,8,1]
[.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[3,2,8,7,6,5,4,1]=>[1,4,5,6,7,8,2,3]=>[1,7,8,2,3,4,5,6]=>[6,5,4,3,2,8,7,1]
[.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[3,2,7,8,6,5,4,1]=>[1,4,5,6,8,7,2,3]=>[1,7,8,2,3,4,6,5]=>[5,6,4,3,2,8,7,1]
[.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[3,2,6,8,7,5,4,1]=>[1,4,5,7,8,6,2,3]=>[1,7,8,2,3,6,4,5]=>[5,4,6,3,2,8,7,1]
[.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[3,2,7,6,8,5,4,1]=>[1,4,5,8,6,7,2,3]=>[1,7,8,2,3,5,6,4]=>[4,6,5,3,2,8,7,1]
[.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[3,2,6,7,8,5,4,1]=>[1,4,5,8,7,6,2,3]=>[1,7,8,2,3,6,5,4]=>[4,5,6,3,2,8,7,1]
[.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[3,2,5,8,7,6,4,1]=>[1,4,6,7,8,5,2,3]=>[1,7,8,2,6,3,4,5]=>[5,4,3,6,2,8,7,1]
[.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[3,2,5,7,8,6,4,1]=>[1,4,6,8,7,5,2,3]=>[1,7,8,2,6,3,5,4]=>[4,5,3,6,2,8,7,1]
[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[3,2,6,5,8,7,4,1]=>[1,4,7,8,5,6,2,3]=>[1,7,8,2,5,6,3,4]=>[4,3,6,5,2,8,7,1]
[.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[3,2,5,6,8,7,4,1]=>[1,4,7,8,6,5,2,3]=>[1,7,8,2,6,5,3,4]=>[4,3,5,6,2,8,7,1]
[.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[3,2,7,6,5,8,4,1]=>[1,4,8,5,6,7,2,3]=>[1,7,8,2,4,5,6,3]=>[3,6,5,4,2,8,7,1]
[.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[3,2,6,7,5,8,4,1]=>[1,4,8,5,7,6,2,3]=>[1,7,8,2,4,6,5,3]=>[3,5,6,4,2,8,7,1]
[.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[3,2,5,7,6,8,4,1]=>[1,4,8,6,7,5,2,3]=>[1,7,8,2,6,4,5,3]=>[3,5,4,6,2,8,7,1]
[.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[3,2,6,5,7,8,4,1]=>[1,4,8,7,5,6,2,3]=>[1,7,8,2,5,6,4,3]=>[3,4,6,5,2,8,7,1]
[.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[3,2,5,6,7,8,4,1]=>[1,4,8,7,6,5,2,3]=>[1,7,8,2,6,5,4,3]=>[3,4,5,6,2,8,7,1]
[.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[2,3,8,7,6,5,4,1]=>[1,4,5,6,7,8,3,2]=>[1,8,7,2,3,4,5,6]=>[6,5,4,3,2,7,8,1]
[.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>[2,3,7,8,6,5,4,1]=>[1,4,5,6,8,7,3,2]=>[1,8,7,2,3,4,6,5]=>[5,6,4,3,2,7,8,1]
[.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[2,3,6,8,7,5,4,1]=>[1,4,5,7,8,6,3,2]=>[1,8,7,2,3,6,4,5]=>[5,4,6,3,2,7,8,1]
[.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[2,3,7,6,8,5,4,1]=>[1,4,5,8,6,7,3,2]=>[1,8,7,2,3,5,6,4]=>[4,6,5,3,2,7,8,1]
[.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[2,3,6,7,8,5,4,1]=>[1,4,5,8,7,6,3,2]=>[1,8,7,2,3,6,5,4]=>[4,5,6,3,2,7,8,1]
[.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[2,3,5,8,7,6,4,1]=>[1,4,6,7,8,5,3,2]=>[1,8,7,2,6,3,4,5]=>[5,4,3,6,2,7,8,1]
[.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[2,3,5,7,8,6,4,1]=>[1,4,6,8,7,5,3,2]=>[1,8,7,2,6,3,5,4]=>[4,5,3,6,2,7,8,1]
[.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[2,3,6,5,8,7,4,1]=>[1,4,7,8,5,6,3,2]=>[1,8,7,2,5,6,3,4]=>[4,3,6,5,2,7,8,1]
[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[2,3,5,6,8,7,4,1]=>[1,4,7,8,6,5,3,2]=>[1,8,7,2,6,5,3,4]=>[4,3,5,6,2,7,8,1]
[.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[2,3,7,6,5,8,4,1]=>[1,4,8,5,6,7,3,2]=>[1,8,7,2,4,5,6,3]=>[3,6,5,4,2,7,8,1]
[.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[2,3,6,7,5,8,4,1]=>[1,4,8,5,7,6,3,2]=>[1,8,7,2,4,6,5,3]=>[3,5,6,4,2,7,8,1]
[.,[[[.,.],.],[[[.,.],[.,.]],.]]]=>[2,3,5,7,6,8,4,1]=>[1,4,8,6,7,5,3,2]=>[1,8,7,2,6,4,5,3]=>[3,5,4,6,2,7,8,1]
[.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[2,3,6,5,7,8,4,1]=>[1,4,8,7,5,6,3,2]=>[1,8,7,2,5,6,4,3]=>[3,4,6,5,2,7,8,1]
[.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[2,3,5,6,7,8,4,1]=>[1,4,8,7,6,5,3,2]=>[1,8,7,2,6,5,4,3]=>[3,4,5,6,2,7,8,1]
[.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[4,3,2,8,7,6,5,1]=>[1,5,6,7,8,2,3,4]=>[1,6,7,8,2,3,4,5]=>[5,4,3,2,8,7,6,1]
[.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[4,3,2,7,8,6,5,1]=>[1,5,6,8,7,2,3,4]=>[1,6,7,8,2,3,5,4]=>[4,5,3,2,8,7,6,1]
[.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[4,3,2,6,8,7,5,1]=>[1,5,7,8,6,2,3,4]=>[1,6,7,8,2,5,3,4]=>[4,3,5,2,8,7,6,1]
[.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[4,3,2,7,6,8,5,1]=>[1,5,8,6,7,2,3,4]=>[1,6,7,8,2,4,5,3]=>[3,5,4,2,8,7,6,1]
[.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[4,3,2,6,7,8,5,1]=>[1,5,8,7,6,2,3,4]=>[1,6,7,8,2,5,4,3]=>[3,4,5,2,8,7,6,1]
[.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[3,4,2,8,7,6,5,1]=>[1,5,6,7,8,2,4,3]=>[1,6,8,7,2,3,4,5]=>[5,4,3,2,7,8,6,1]
[.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[3,4,2,7,8,6,5,1]=>[1,5,6,8,7,2,4,3]=>[1,6,8,7,2,3,5,4]=>[4,5,3,2,7,8,6,1]
[.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[3,4,2,6,8,7,5,1]=>[1,5,7,8,6,2,4,3]=>[1,6,8,7,2,5,3,4]=>[4,3,5,2,7,8,6,1]
[.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[3,4,2,7,6,8,5,1]=>[1,5,8,6,7,2,4,3]=>[1,6,8,7,2,4,5,3]=>[3,5,4,2,7,8,6,1]
[.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[3,4,2,6,7,8,5,1]=>[1,5,8,7,6,2,4,3]=>[1,6,8,7,2,5,4,3]=>[3,4,5,2,7,8,6,1]
[.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[2,4,3,8,7,6,5,1]=>[1,5,6,7,8,3,4,2]=>[1,8,6,7,2,3,4,5]=>[5,4,3,2,7,6,8,1]
[.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[2,4,3,7,8,6,5,1]=>[1,5,6,8,7,3,4,2]=>[1,8,6,7,2,3,5,4]=>[4,5,3,2,7,6,8,1]
[.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[2,4,3,6,8,7,5,1]=>[1,5,7,8,6,3,4,2]=>[1,8,6,7,2,5,3,4]=>[4,3,5,2,7,6,8,1]
[.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[2,4,3,7,6,8,5,1]=>[1,5,8,6,7,3,4,2]=>[1,8,6,7,2,4,5,3]=>[3,5,4,2,7,6,8,1]
[.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[2,4,3,6,7,8,5,1]=>[1,5,8,7,6,3,4,2]=>[1,8,6,7,2,5,4,3]=>[3,4,5,2,7,6,8,1]
[.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[3,2,4,8,7,6,5,1]=>[1,5,6,7,8,4,2,3]=>[1,7,8,6,2,3,4,5]=>[5,4,3,2,6,8,7,1]
[.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>[3,2,4,7,8,6,5,1]=>[1,5,6,8,7,4,2,3]=>[1,7,8,6,2,3,5,4]=>[4,5,3,2,6,8,7,1]
[.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[3,2,4,6,8,7,5,1]=>[1,5,7,8,6,4,2,3]=>[1,7,8,6,2,5,3,4]=>[4,3,5,2,6,8,7,1]
[.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[3,2,4,7,6,8,5,1]=>[1,5,8,6,7,4,2,3]=>[1,7,8,6,2,4,5,3]=>[3,5,4,2,6,8,7,1]
[.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[3,2,4,6,7,8,5,1]=>[1,5,8,7,6,4,2,3]=>[1,7,8,6,2,5,4,3]=>[3,4,5,2,6,8,7,1]
[.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[2,3,4,8,7,6,5,1]=>[1,5,6,7,8,4,3,2]=>[1,8,7,6,2,3,4,5]=>[5,4,3,2,6,7,8,1]
[.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[2,3,4,7,8,6,5,1]=>[1,5,6,8,7,4,3,2]=>[1,8,7,6,2,3,5,4]=>[4,5,3,2,6,7,8,1]
[.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[2,3,4,6,8,7,5,1]=>[1,5,7,8,6,4,3,2]=>[1,8,7,6,2,5,3,4]=>[4,3,5,2,6,7,8,1]
[.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[2,3,4,7,6,8,5,1]=>[1,5,8,6,7,4,3,2]=>[1,8,7,6,2,4,5,3]=>[3,5,4,2,6,7,8,1]
[.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[2,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,2]=>[1,8,7,6,2,5,4,3]=>[3,4,5,2,6,7,8,1]
[.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[5,4,3,2,8,7,6,1]=>[1,6,7,8,2,3,4,5]=>[1,5,6,7,8,2,3,4]=>[4,3,2,8,7,6,5,1]
[.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[5,4,3,2,7,8,6,1]=>[1,6,8,7,2,3,4,5]=>[1,5,6,7,8,2,4,3]=>[3,4,2,8,7,6,5,1]
[.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[4,5,3,2,8,7,6,1]=>[1,6,7,8,2,3,5,4]=>[1,5,6,8,7,2,3,4]=>[4,3,2,7,8,6,5,1]
[.,[[.,[.,[[.,.],.]]],[[.,.],.]]]=>[4,5,3,2,7,8,6,1]=>[1,6,8,7,2,3,5,4]=>[1,5,6,8,7,2,4,3]=>[3,4,2,7,8,6,5,1]
[.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[3,5,4,2,8,7,6,1]=>[1,6,7,8,2,4,5,3]=>[1,5,8,6,7,2,3,4]=>[4,3,2,7,6,8,5,1]
[.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[3,5,4,2,7,8,6,1]=>[1,6,8,7,2,4,5,3]=>[1,5,8,6,7,2,4,3]=>[3,4,2,7,6,8,5,1]
[.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[4,3,5,2,8,7,6,1]=>[1,6,7,8,2,5,3,4]=>[1,5,7,8,6,2,3,4]=>[4,3,2,6,8,7,5,1]
[.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[4,3,5,2,7,8,6,1]=>[1,6,8,7,2,5,3,4]=>[1,5,7,8,6,2,4,3]=>[3,4,2,6,8,7,5,1]
[.,[[.,[[[.,.],.],.]],[.,[.,.]]]]=>[3,4,5,2,8,7,6,1]=>[1,6,7,8,2,5,4,3]=>[1,5,8,7,6,2,3,4]=>[4,3,2,6,7,8,5,1]
[.,[[.,[[[.,.],.],.]],[[.,.],.]]]=>[3,4,5,2,7,8,6,1]=>[1,6,8,7,2,5,4,3]=>[1,5,8,7,6,2,4,3]=>[3,4,2,6,7,8,5,1]
[.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[2,5,4,3,8,7,6,1]=>[1,6,7,8,3,4,5,2]=>[1,8,5,6,7,2,3,4]=>[4,3,2,7,6,5,8,1]
[.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[2,5,4,3,7,8,6,1]=>[1,6,8,7,3,4,5,2]=>[1,8,5,6,7,2,4,3]=>[3,4,2,7,6,5,8,1]
[.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[2,4,5,3,8,7,6,1]=>[1,6,7,8,3,5,4,2]=>[1,8,5,7,6,2,3,4]=>[4,3,2,6,7,5,8,1]
[.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[2,4,5,3,7,8,6,1]=>[1,6,8,7,3,5,4,2]=>[1,8,5,7,6,2,4,3]=>[3,4,2,6,7,5,8,1]
[.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[3,2,5,4,8,7,6,1]=>[1,6,7,8,4,5,2,3]=>[1,7,8,5,6,2,3,4]=>[4,3,2,6,5,8,7,1]
[.,[[[.,[.,.]],[.,.]],[[.,.],.]]]=>[3,2,5,4,7,8,6,1]=>[1,6,8,7,4,5,2,3]=>[1,7,8,5,6,2,4,3]=>[3,4,2,6,5,8,7,1]
[.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[2,3,5,4,8,7,6,1]=>[1,6,7,8,4,5,3,2]=>[1,8,7,5,6,2,3,4]=>[4,3,2,6,5,7,8,1]
[.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[2,3,5,4,7,8,6,1]=>[1,6,8,7,4,5,3,2]=>[1,8,7,5,6,2,4,3]=>[3,4,2,6,5,7,8,1]
[.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[4,3,2,5,8,7,6,1]=>[1,6,7,8,5,2,3,4]=>[1,6,7,8,5,2,3,4]=>[4,3,2,5,8,7,6,1]
[.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[4,3,2,5,7,8,6,1]=>[1,6,8,7,5,2,3,4]=>[1,6,7,8,5,2,4,3]=>[3,4,2,5,8,7,6,1]
[.,[[[.,[[.,.],.]],.],[.,[.,.]]]]=>[3,4,2,5,8,7,6,1]=>[1,6,7,8,5,2,4,3]=>[1,6,8,7,5,2,3,4]=>[4,3,2,5,7,8,6,1]
[.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[3,4,2,5,7,8,6,1]=>[1,6,8,7,5,2,4,3]=>[1,6,8,7,5,2,4,3]=>[3,4,2,5,7,8,6,1]
[.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>[2,4,3,5,8,7,6,1]=>[1,6,7,8,5,3,4,2]=>[1,8,6,7,5,2,3,4]=>[4,3,2,5,7,6,8,1]
[.,[[[[.,.],[.,.]],.],[[.,.],.]]]=>[2,4,3,5,7,8,6,1]=>[1,6,8,7,5,3,4,2]=>[1,8,6,7,5,2,4,3]=>[3,4,2,5,7,6,8,1]
[.,[[[[.,[.,.]],.],.],[.,[.,.]]]]=>[3,2,4,5,8,7,6,1]=>[1,6,7,8,5,4,2,3]=>[1,7,8,6,5,2,3,4]=>[4,3,2,5,6,8,7,1]
[.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[3,2,4,5,7,8,6,1]=>[1,6,8,7,5,4,2,3]=>[1,7,8,6,5,2,4,3]=>[3,4,2,5,6,8,7,1]
[.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]=>[1,8,7,6,5,2,3,4]=>[4,3,2,5,6,7,8,1]
[.,[[[[[.,.],.],.],.],[[.,.],.]]]=>[2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]=>[1,8,7,6,5,2,4,3]=>[3,4,2,5,6,7,8,1]
[.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[6,5,4,3,2,8,7,1]=>[1,7,8,2,3,4,5,6]=>[1,4,5,6,7,8,2,3]=>[3,2,8,7,6,5,4,1]
[.,[[.,[.,[.,[[.,.],.]]]],[.,.]]]=>[5,6,4,3,2,8,7,1]=>[1,7,8,2,3,4,6,5]=>[1,4,5,6,8,7,2,3]=>[3,2,7,8,6,5,4,1]
[.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[4,6,5,3,2,8,7,1]=>[1,7,8,2,3,5,6,4]=>[1,4,5,8,6,7,2,3]=>[3,2,7,6,8,5,4,1]
[.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[5,4,6,3,2,8,7,1]=>[1,7,8,2,3,6,4,5]=>[1,4,5,7,8,6,2,3]=>[3,2,6,8,7,5,4,1]
[.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>[4,5,6,3,2,8,7,1]=>[1,7,8,2,3,6,5,4]=>[1,4,5,8,7,6,2,3]=>[3,2,6,7,8,5,4,1]
[.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[3,6,5,4,2,8,7,1]=>[1,7,8,2,4,5,6,3]=>[1,4,8,5,6,7,2,3]=>[3,2,7,6,5,8,4,1]
[.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[3,5,6,4,2,8,7,1]=>[1,7,8,2,4,6,5,3]=>[1,4,8,5,7,6,2,3]=>[3,2,6,7,5,8,4,1]
[.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[4,3,6,5,2,8,7,1]=>[1,7,8,2,5,6,3,4]=>[1,4,7,8,5,6,2,3]=>[3,2,6,5,8,7,4,1]
[.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[3,4,6,5,2,8,7,1]=>[1,7,8,2,5,6,4,3]=>[1,4,8,7,5,6,2,3]=>[3,2,6,5,7,8,4,1]
[.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[5,4,3,6,2,8,7,1]=>[1,7,8,2,6,3,4,5]=>[1,4,6,7,8,5,2,3]=>[3,2,5,8,7,6,4,1]
[.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[4,5,3,6,2,8,7,1]=>[1,7,8,2,6,3,5,4]=>[1,4,6,8,7,5,2,3]=>[3,2,5,7,8,6,4,1]
[.,[[.,[[[.,.],[.,.]],.]],[.,.]]]=>[3,5,4,6,2,8,7,1]=>[1,7,8,2,6,4,5,3]=>[1,4,8,6,7,5,2,3]=>[3,2,5,7,6,8,4,1]
[.,[[.,[[[.,[.,.]],.],.]],[.,.]]]=>[4,3,5,6,2,8,7,1]=>[1,7,8,2,6,5,3,4]=>[1,4,7,8,6,5,2,3]=>[3,2,5,6,8,7,4,1]
[.,[[.,[[[[.,.],.],.],.]],[.,.]]]=>[3,4,5,6,2,8,7,1]=>[1,7,8,2,6,5,4,3]=>[1,4,8,7,6,5,2,3]=>[3,2,5,6,7,8,4,1]
[.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[2,6,5,4,3,8,7,1]=>[1,7,8,3,4,5,6,2]=>[1,8,4,5,6,7,2,3]=>[3,2,7,6,5,4,8,1]
[.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[2,5,6,4,3,8,7,1]=>[1,7,8,3,4,6,5,2]=>[1,8,4,5,7,6,2,3]=>[3,2,6,7,5,4,8,1]
[.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[2,4,6,5,3,8,7,1]=>[1,7,8,3,5,6,4,2]=>[1,8,4,7,5,6,2,3]=>[3,2,6,5,7,4,8,1]
[.,[[[.,.],[[.,[.,.]],.]],[.,.]]]=>[2,5,4,6,3,8,7,1]=>[1,7,8,3,6,4,5,2]=>[1,8,4,6,7,5,2,3]=>[3,2,5,7,6,4,8,1]
[.,[[[.,.],[[[.,.],.],.]],[.,.]]]=>[2,4,5,6,3,8,7,1]=>[1,7,8,3,6,5,4,2]=>[1,8,4,7,6,5,2,3]=>[3,2,5,6,7,4,8,1]
[.,[[[.,[.,.]],[.,[.,.]]],[.,.]]]=>[3,2,6,5,4,8,7,1]=>[1,7,8,4,5,6,2,3]=>[1,7,8,4,5,6,2,3]=>[3,2,6,5,4,8,7,1]
[.,[[[.,[.,.]],[[.,.],.]],[.,.]]]=>[3,2,5,6,4,8,7,1]=>[1,7,8,4,6,5,2,3]=>[1,7,8,4,6,5,2,3]=>[3,2,5,6,4,8,7,1]
[.,[[[[.,.],.],[.,[.,.]]],[.,.]]]=>[2,3,6,5,4,8,7,1]=>[1,7,8,4,5,6,3,2]=>[1,8,7,4,5,6,2,3]=>[3,2,6,5,4,7,8,1]
[.,[[[[.,.],.],[[.,.],.]],[.,.]]]=>[2,3,5,6,4,8,7,1]=>[1,7,8,4,6,5,3,2]=>[1,8,7,4,6,5,2,3]=>[3,2,5,6,4,7,8,1]
[.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[4,3,2,6,5,8,7,1]=>[1,7,8,5,6,2,3,4]=>[1,6,7,8,4,5,2,3]=>[3,2,5,4,8,7,6,1]
[.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[3,4,2,6,5,8,7,1]=>[1,7,8,5,6,2,4,3]=>[1,6,8,7,4,5,2,3]=>[3,2,5,4,7,8,6,1]
[.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,1]=>[1,7,8,5,6,3,4,2]=>[1,8,6,7,4,5,2,3]=>[3,2,5,4,7,6,8,1]
[.,[[[[.,[.,.]],.],[.,.]],[.,.]]]=>[3,2,4,6,5,8,7,1]=>[1,7,8,5,6,4,2,3]=>[1,7,8,6,4,5,2,3]=>[3,2,5,4,6,8,7,1]
[.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[2,3,4,6,5,8,7,1]=>[1,7,8,5,6,4,3,2]=>[1,8,7,6,4,5,2,3]=>[3,2,5,4,6,7,8,1]
[.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[5,4,3,2,6,8,7,1]=>[1,7,8,6,2,3,4,5]=>[1,5,6,7,8,4,2,3]=>[3,2,4,8,7,6,5,1]
[.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>[4,5,3,2,6,8,7,1]=>[1,7,8,6,2,3,5,4]=>[1,5,6,8,7,4,2,3]=>[3,2,4,7,8,6,5,1]
[.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[3,5,4,2,6,8,7,1]=>[1,7,8,6,2,4,5,3]=>[1,5,8,6,7,4,2,3]=>[3,2,4,7,6,8,5,1]
[.,[[[.,[[.,[.,.]],.]],.],[.,.]]]=>[4,3,5,2,6,8,7,1]=>[1,7,8,6,2,5,3,4]=>[1,5,7,8,6,4,2,3]=>[3,2,4,6,8,7,5,1]
[.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>[3,4,5,2,6,8,7,1]=>[1,7,8,6,2,5,4,3]=>[1,5,8,7,6,4,2,3]=>[3,2,4,6,7,8,5,1]
[.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[2,5,4,3,6,8,7,1]=>[1,7,8,6,3,4,5,2]=>[1,8,5,6,7,4,2,3]=>[3,2,4,7,6,5,8,1]
[.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[2,4,5,3,6,8,7,1]=>[1,7,8,6,3,5,4,2]=>[1,8,5,7,6,4,2,3]=>[3,2,4,6,7,5,8,1]
[.,[[[[.,[.,.]],[.,.]],.],[.,.]]]=>[3,2,5,4,6,8,7,1]=>[1,7,8,6,4,5,2,3]=>[1,7,8,5,6,4,2,3]=>[3,2,4,6,5,8,7,1]
[.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>[2,3,5,4,6,8,7,1]=>[1,7,8,6,4,5,3,2]=>[1,8,7,5,6,4,2,3]=>[3,2,4,6,5,7,8,1]
[.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>[4,3,2,5,6,8,7,1]=>[1,7,8,6,5,2,3,4]=>[1,6,7,8,5,4,2,3]=>[3,2,4,5,8,7,6,1]
[.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[3,4,2,5,6,8,7,1]=>[1,7,8,6,5,2,4,3]=>[1,6,8,7,5,4,2,3]=>[3,2,4,5,7,8,6,1]
[.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[2,4,3,5,6,8,7,1]=>[1,7,8,6,5,3,4,2]=>[1,8,6,7,5,4,2,3]=>[3,2,4,5,7,6,8,1]
[.,[[[[[.,[.,.]],.],.],.],[.,.]]]=>[3,2,4,5,6,8,7,1]=>[1,7,8,6,5,4,2,3]=>[1,7,8,6,5,4,2,3]=>[3,2,4,5,6,8,7,1]
[.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]=>[1,8,7,6,5,4,2,3]=>[3,2,4,5,6,7,8,1]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1]
[.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[6,7,5,4,3,2,8,1]=>[1,8,2,3,4,5,7,6]=>[1,3,4,5,6,8,7,2]=>[2,7,8,6,5,4,3,1]
[.,[[.,[.,[.,[[.,.],[.,.]]]]],.]]=>[5,7,6,4,3,2,8,1]=>[1,8,2,3,4,6,7,5]=>[1,3,4,5,8,6,7,2]=>[2,7,6,8,5,4,3,1]
[.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]=>[1,3,4,5,7,8,6,2]=>[2,6,8,7,5,4,3,1]
[.,[[.,[.,[.,[[[.,.],.],.]]]],.]]=>[5,6,7,4,3,2,8,1]=>[1,8,2,3,4,7,6,5]=>[1,3,4,5,8,7,6,2]=>[2,6,7,8,5,4,3,1]
[.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[4,7,6,5,3,2,8,1]=>[1,8,2,3,5,6,7,4]=>[1,3,4,8,5,6,7,2]=>[2,7,6,5,8,4,3,1]
[.,[[.,[.,[[.,.],[[.,.],.]]]],.]]=>[4,6,7,5,3,2,8,1]=>[1,8,2,3,5,7,6,4]=>[1,3,4,8,5,7,6,2]=>[2,6,7,5,8,4,3,1]
[.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[5,4,7,6,3,2,8,1]=>[1,8,2,3,6,7,4,5]=>[1,3,4,7,8,5,6,2]=>[2,6,5,8,7,4,3,1]
[.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>[4,5,7,6,3,2,8,1]=>[1,8,2,3,6,7,5,4]=>[1,3,4,8,7,5,6,2]=>[2,6,5,7,8,4,3,1]
[.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]=>[6,5,4,7,3,2,8,1]=>[1,8,2,3,7,4,5,6]=>[1,3,4,6,7,8,5,2]=>[2,5,8,7,6,4,3,1]
[.,[[.,[.,[[.,[[.,.],.]],.]]],.]]=>[5,6,4,7,3,2,8,1]=>[1,8,2,3,7,4,6,5]=>[1,3,4,6,8,7,5,2]=>[2,5,7,8,6,4,3,1]
[.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[4,6,5,7,3,2,8,1]=>[1,8,2,3,7,5,6,4]=>[1,3,4,8,6,7,5,2]=>[2,5,7,6,8,4,3,1]
[.,[[.,[.,[[[.,[.,.]],.],.]]],.]]=>[5,4,6,7,3,2,8,1]=>[1,8,2,3,7,6,4,5]=>[1,3,4,7,8,6,5,2]=>[2,5,6,8,7,4,3,1]
[.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[1,8,2,3,7,6,5,4]=>[1,3,4,8,7,6,5,2]=>[2,5,6,7,8,4,3,1]
[.,[[.,[[.,.],[.,[.,[.,.]]]]],.]]=>[3,7,6,5,4,2,8,1]=>[1,8,2,4,5,6,7,3]=>[1,3,8,4,5,6,7,2]=>[2,7,6,5,4,8,3,1]
[.,[[.,[[.,.],[.,[[.,.],.]]]],.]]=>[3,6,7,5,4,2,8,1]=>[1,8,2,4,5,7,6,3]=>[1,3,8,4,5,7,6,2]=>[2,6,7,5,4,8,3,1]
[.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[3,5,7,6,4,2,8,1]=>[1,8,2,4,6,7,5,3]=>[1,3,8,4,7,5,6,2]=>[2,6,5,7,4,8,3,1]
[.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[3,6,5,7,4,2,8,1]=>[1,8,2,4,7,5,6,3]=>[1,3,8,4,6,7,5,2]=>[2,5,7,6,4,8,3,1]
[.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>[3,5,6,7,4,2,8,1]=>[1,8,2,4,7,6,5,3]=>[1,3,8,4,7,6,5,2]=>[2,5,6,7,4,8,3,1]
[.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[4,3,7,6,5,2,8,1]=>[1,8,2,5,6,7,3,4]=>[1,3,7,8,4,5,6,2]=>[2,6,5,4,8,7,3,1]
[.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[4,3,6,7,5,2,8,1]=>[1,8,2,5,7,6,3,4]=>[1,3,7,8,4,6,5,2]=>[2,5,6,4,8,7,3,1]
[.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>[3,4,7,6,5,2,8,1]=>[1,8,2,5,6,7,4,3]=>[1,3,8,7,4,5,6,2]=>[2,6,5,4,7,8,3,1]
[.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>[3,4,6,7,5,2,8,1]=>[1,8,2,5,7,6,4,3]=>[1,3,8,7,4,6,5,2]=>[2,5,6,4,7,8,3,1]
[.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[5,4,3,7,6,2,8,1]=>[1,8,2,6,7,3,4,5]=>[1,3,6,7,8,4,5,2]=>[2,5,4,8,7,6,3,1]
[.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[4,5,3,7,6,2,8,1]=>[1,8,2,6,7,3,5,4]=>[1,3,6,8,7,4,5,2]=>[2,5,4,7,8,6,3,1]
[.,[[.,[[[.,.],[.,.]],[.,.]]],.]]=>[3,5,4,7,6,2,8,1]=>[1,8,2,6,7,4,5,3]=>[1,3,8,6,7,4,5,2]=>[2,5,4,7,6,8,3,1]
[.,[[.,[[[.,[.,.]],.],[.,.]]],.]]=>[4,3,5,7,6,2,8,1]=>[1,8,2,6,7,5,3,4]=>[1,3,7,8,6,4,5,2]=>[2,5,4,6,8,7,3,1]
[.,[[.,[[[[.,.],.],.],[.,.]]],.]]=>[3,4,5,7,6,2,8,1]=>[1,8,2,6,7,5,4,3]=>[1,3,8,7,6,4,5,2]=>[2,5,4,6,7,8,3,1]
[.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]=>[1,3,5,6,7,8,4,2]=>[2,4,8,7,6,5,3,1]
[.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[5,6,4,3,7,2,8,1]=>[1,8,2,7,3,4,6,5]=>[1,3,5,6,8,7,4,2]=>[2,4,7,8,6,5,3,1]
[.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[4,6,5,3,7,2,8,1]=>[1,8,2,7,3,5,6,4]=>[1,3,5,8,6,7,4,2]=>[2,4,7,6,8,5,3,1]
[.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>[1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1]
[.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[1,8,2,7,3,6,5,4]=>[1,3,5,8,7,6,4,2]=>[2,4,6,7,8,5,3,1]
[.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[3,6,5,4,7,2,8,1]=>[1,8,2,7,4,5,6,3]=>[1,3,8,5,6,7,4,2]=>[2,4,7,6,5,8,3,1]
[.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[3,5,6,4,7,2,8,1]=>[1,8,2,7,4,6,5,3]=>[1,3,8,5,7,6,4,2]=>[2,4,6,7,5,8,3,1]
[.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[4,3,6,5,7,2,8,1]=>[1,8,2,7,5,6,3,4]=>[1,3,7,8,5,6,4,2]=>[2,4,6,5,8,7,3,1]
[.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>[3,4,6,5,7,2,8,1]=>[1,8,2,7,5,6,4,3]=>[1,3,8,7,5,6,4,2]=>[2,4,6,5,7,8,3,1]
[.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[1,8,2,7,6,3,4,5]=>[1,3,6,7,8,5,4,2]=>[2,4,5,8,7,6,3,1]
[.,[[.,[[[.,[[.,.],.]],.],.]],.]]=>[4,5,3,6,7,2,8,1]=>[1,8,2,7,6,3,5,4]=>[1,3,6,8,7,5,4,2]=>[2,4,5,7,8,6,3,1]
[.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>[3,5,4,6,7,2,8,1]=>[1,8,2,7,6,4,5,3]=>[1,3,8,6,7,5,4,2]=>[2,4,5,7,6,8,3,1]
[.,[[.,[[[[.,[.,.]],.],.],.]],.]]=>[4,3,5,6,7,2,8,1]=>[1,8,2,7,6,5,3,4]=>[1,3,7,8,6,5,4,2]=>[2,4,5,6,8,7,3,1]
[.,[[.,[[[[[.,.],.],.],.],.]],.]]=>[3,4,5,6,7,2,8,1]=>[1,8,2,7,6,5,4,3]=>[1,3,8,7,6,5,4,2]=>[2,4,5,6,7,8,3,1]
[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[2,7,6,5,4,3,8,1]=>[1,8,3,4,5,6,7,2]=>[1,8,3,4,5,6,7,2]=>[2,7,6,5,4,3,8,1]
[.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>[2,6,7,5,4,3,8,1]=>[1,8,3,4,5,7,6,2]=>[1,8,3,4,5,7,6,2]=>[2,6,7,5,4,3,8,1]
[.,[[[.,.],[.,[[.,.],[.,.]]]],.]]=>[2,5,7,6,4,3,8,1]=>[1,8,3,4,6,7,5,2]=>[1,8,3,4,7,5,6,2]=>[2,6,5,7,4,3,8,1]
[.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[2,6,5,7,4,3,8,1]=>[1,8,3,4,7,5,6,2]=>[1,8,3,4,6,7,5,2]=>[2,5,7,6,4,3,8,1]
[.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[2,5,6,7,4,3,8,1]=>[1,8,3,4,7,6,5,2]=>[1,8,3,4,7,6,5,2]=>[2,5,6,7,4,3,8,1]
[.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>[2,4,7,6,5,3,8,1]=>[1,8,3,5,6,7,4,2]=>[1,8,3,7,4,5,6,2]=>[2,6,5,4,7,3,8,1]
[.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[2,4,6,7,5,3,8,1]=>[1,8,3,5,7,6,4,2]=>[1,8,3,7,4,6,5,2]=>[2,5,6,4,7,3,8,1]
[.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[2,5,4,7,6,3,8,1]=>[1,8,3,6,7,4,5,2]=>[1,8,3,6,7,4,5,2]=>[2,5,4,7,6,3,8,1]
[.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[2,4,5,7,6,3,8,1]=>[1,8,3,6,7,5,4,2]=>[1,8,3,7,6,4,5,2]=>[2,5,4,6,7,3,8,1]
[.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>[2,6,5,4,7,3,8,1]=>[1,8,3,7,4,5,6,2]=>[1,8,3,5,6,7,4,2]=>[2,4,7,6,5,3,8,1]
[.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[2,5,6,4,7,3,8,1]=>[1,8,3,7,4,6,5,2]=>[1,8,3,5,7,6,4,2]=>[2,4,6,7,5,3,8,1]
[.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[2,4,6,5,7,3,8,1]=>[1,8,3,7,5,6,4,2]=>[1,8,3,7,5,6,4,2]=>[2,4,6,5,7,3,8,1]
[.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[2,5,4,6,7,3,8,1]=>[1,8,3,7,6,4,5,2]=>[1,8,3,6,7,5,4,2]=>[2,4,5,7,6,3,8,1]
[.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[2,4,5,6,7,3,8,1]=>[1,8,3,7,6,5,4,2]=>[1,8,3,7,6,5,4,2]=>[2,4,5,6,7,3,8,1]
[.,[[[.,[.,.]],[.,[.,[.,.]]]],.]]=>[3,2,7,6,5,4,8,1]=>[1,8,4,5,6,7,2,3]=>[1,7,8,3,4,5,6,2]=>[2,6,5,4,3,8,7,1]
[.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[3,2,6,7,5,4,8,1]=>[1,8,4,5,7,6,2,3]=>[1,7,8,3,4,6,5,2]=>[2,5,6,4,3,8,7,1]
[.,[[[.,[.,.]],[[.,.],[.,.]]],.]]=>[3,2,5,7,6,4,8,1]=>[1,8,4,6,7,5,2,3]=>[1,7,8,3,6,4,5,2]=>[2,5,4,6,3,8,7,1]
[.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[3,2,6,5,7,4,8,1]=>[1,8,4,7,5,6,2,3]=>[1,7,8,3,5,6,4,2]=>[2,4,6,5,3,8,7,1]
[.,[[[.,[.,.]],[[[.,.],.],.]],.]]=>[3,2,5,6,7,4,8,1]=>[1,8,4,7,6,5,2,3]=>[1,7,8,3,6,5,4,2]=>[2,4,5,6,3,8,7,1]
[.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[2,3,7,6,5,4,8,1]=>[1,8,4,5,6,7,3,2]=>[1,8,7,3,4,5,6,2]=>[2,6,5,4,3,7,8,1]
[.,[[[[.,.],.],[.,[[.,.],.]]],.]]=>[2,3,6,7,5,4,8,1]=>[1,8,4,5,7,6,3,2]=>[1,8,7,3,4,6,5,2]=>[2,5,6,4,3,7,8,1]
[.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[2,3,5,7,6,4,8,1]=>[1,8,4,6,7,5,3,2]=>[1,8,7,3,6,4,5,2]=>[2,5,4,6,3,7,8,1]
[.,[[[[.,.],.],[[.,[.,.]],.]],.]]=>[2,3,6,5,7,4,8,1]=>[1,8,4,7,5,6,3,2]=>[1,8,7,3,5,6,4,2]=>[2,4,6,5,3,7,8,1]
[.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[2,3,5,6,7,4,8,1]=>[1,8,4,7,6,5,3,2]=>[1,8,7,3,6,5,4,2]=>[2,4,5,6,3,7,8,1]
[.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[4,3,2,7,6,5,8,1]=>[1,8,5,6,7,2,3,4]=>[1,6,7,8,3,4,5,2]=>[2,5,4,3,8,7,6,1]
[.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[4,3,2,6,7,5,8,1]=>[1,8,5,7,6,2,3,4]=>[1,6,7,8,3,5,4,2]=>[2,4,5,3,8,7,6,1]
[.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[3,4,2,7,6,5,8,1]=>[1,8,5,6,7,2,4,3]=>[1,6,8,7,3,4,5,2]=>[2,5,4,3,7,8,6,1]
[.,[[[.,[[.,.],.]],[[.,.],.]],.]]=>[3,4,2,6,7,5,8,1]=>[1,8,5,7,6,2,4,3]=>[1,6,8,7,3,5,4,2]=>[2,4,5,3,7,8,6,1]
[.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[2,4,3,7,6,5,8,1]=>[1,8,5,6,7,3,4,2]=>[1,8,6,7,3,4,5,2]=>[2,5,4,3,7,6,8,1]
[.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[2,4,3,6,7,5,8,1]=>[1,8,5,7,6,3,4,2]=>[1,8,6,7,3,5,4,2]=>[2,4,5,3,7,6,8,1]
[.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[3,2,4,7,6,5,8,1]=>[1,8,5,6,7,4,2,3]=>[1,7,8,6,3,4,5,2]=>[2,5,4,3,6,8,7,1]
[.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[3,2,4,6,7,5,8,1]=>[1,8,5,7,6,4,2,3]=>[1,7,8,6,3,5,4,2]=>[2,4,5,3,6,8,7,1]
[.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[2,3,4,7,6,5,8,1]=>[1,8,5,6,7,4,3,2]=>[1,8,7,6,3,4,5,2]=>[2,5,4,3,6,7,8,1]
[.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[2,3,4,6,7,5,8,1]=>[1,8,5,7,6,4,3,2]=>[1,8,7,6,3,5,4,2]=>[2,4,5,3,6,7,8,1]
[.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[5,4,3,2,7,6,8,1]=>[1,8,6,7,2,3,4,5]=>[1,5,6,7,8,3,4,2]=>[2,4,3,8,7,6,5,1]
[.,[[[.,[.,[[.,.],.]]],[.,.]],.]]=>[4,5,3,2,7,6,8,1]=>[1,8,6,7,2,3,5,4]=>[1,5,6,8,7,3,4,2]=>[2,4,3,7,8,6,5,1]
[.,[[[.,[[.,.],[.,.]]],[.,.]],.]]=>[3,5,4,2,7,6,8,1]=>[1,8,6,7,2,4,5,3]=>[1,5,8,6,7,3,4,2]=>[2,4,3,7,6,8,5,1]
[.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[4,3,5,2,7,6,8,1]=>[1,8,6,7,2,5,3,4]=>[1,5,7,8,6,3,4,2]=>[2,4,3,6,8,7,5,1]
[.,[[[.,[[[.,.],.],.]],[.,.]],.]]=>[3,4,5,2,7,6,8,1]=>[1,8,6,7,2,5,4,3]=>[1,5,8,7,6,3,4,2]=>[2,4,3,6,7,8,5,1]
[.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[2,5,4,3,7,6,8,1]=>[1,8,6,7,3,4,5,2]=>[1,8,5,6,7,3,4,2]=>[2,4,3,7,6,5,8,1]
[.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,8,1]=>[1,8,6,7,4,5,2,3]=>[1,7,8,5,6,3,4,2]=>[2,4,3,6,5,8,7,1]
[.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[2,3,5,4,7,6,8,1]=>[1,8,6,7,4,5,3,2]=>[1,8,7,5,6,3,4,2]=>[2,4,3,6,5,7,8,1]
[.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>[4,3,2,5,7,6,8,1]=>[1,8,6,7,5,2,3,4]=>[1,6,7,8,5,3,4,2]=>[2,4,3,5,8,7,6,1]
[.,[[[[.,[[.,.],.]],.],[.,.]],.]]=>[3,4,2,5,7,6,8,1]=>[1,8,6,7,5,2,4,3]=>[1,6,8,7,5,3,4,2]=>[2,4,3,5,7,8,6,1]
[.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>[2,4,3,5,7,6,8,1]=>[1,8,6,7,5,3,4,2]=>[1,8,6,7,5,3,4,2]=>[2,4,3,5,7,6,8,1]
[.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>[3,2,4,5,7,6,8,1]=>[1,8,6,7,5,4,2,3]=>[1,7,8,6,5,3,4,2]=>[2,4,3,5,6,8,7,1]
[.,[[[[[[.,.],.],.],.],[.,.]],.]]=>[2,3,4,5,7,6,8,1]=>[1,8,6,7,5,4,3,2]=>[1,8,7,6,5,3,4,2]=>[2,4,3,5,6,7,8,1]
[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[1,8,7,2,3,4,5,6]=>[1,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,1]
[.,[[[.,[.,[.,[[.,.],.]]]],.],.]]=>[5,6,4,3,2,7,8,1]=>[1,8,7,2,3,4,6,5]=>[1,4,5,6,8,7,3,2]=>[2,3,7,8,6,5,4,1]
[.,[[[.,[.,[[.,.],[.,.]]]],.],.]]=>[4,6,5,3,2,7,8,1]=>[1,8,7,2,3,5,6,4]=>[1,4,5,8,6,7,3,2]=>[2,3,7,6,8,5,4,1]
[.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[1,8,7,2,3,6,4,5]=>[1,4,5,7,8,6,3,2]=>[2,3,6,8,7,5,4,1]
[.,[[[.,[.,[[[.,.],.],.]]],.],.]]=>[4,5,6,3,2,7,8,1]=>[1,8,7,2,3,6,5,4]=>[1,4,5,8,7,6,3,2]=>[2,3,6,7,8,5,4,1]
[.,[[[.,[[.,.],[.,[.,.]]]],.],.]]=>[3,6,5,4,2,7,8,1]=>[1,8,7,2,4,5,6,3]=>[1,4,8,5,6,7,3,2]=>[2,3,7,6,5,8,4,1]
[.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[3,5,6,4,2,7,8,1]=>[1,8,7,2,4,6,5,3]=>[1,4,8,5,7,6,3,2]=>[2,3,6,7,5,8,4,1]
[.,[[[.,[[.,[.,.]],[.,.]]],.],.]]=>[4,3,6,5,2,7,8,1]=>[1,8,7,2,5,6,3,4]=>[1,4,7,8,5,6,3,2]=>[2,3,6,5,8,7,4,1]
[.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>[3,4,6,5,2,7,8,1]=>[1,8,7,2,5,6,4,3]=>[1,4,8,7,5,6,3,2]=>[2,3,6,5,7,8,4,1]
[.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[1,8,7,2,6,3,4,5]=>[1,4,6,7,8,5,3,2]=>[2,3,5,8,7,6,4,1]
[.,[[[.,[[.,[[.,.],.]],.]],.],.]]=>[4,5,3,6,2,7,8,1]=>[1,8,7,2,6,3,5,4]=>[1,4,6,8,7,5,3,2]=>[2,3,5,7,8,6,4,1]
[.,[[[.,[[[.,.],[.,.]],.]],.],.]]=>[3,5,4,6,2,7,8,1]=>[1,8,7,2,6,4,5,3]=>[1,4,8,6,7,5,3,2]=>[2,3,5,7,6,8,4,1]
[.,[[[.,[[[.,[.,.]],.],.]],.],.]]=>[4,3,5,6,2,7,8,1]=>[1,8,7,2,6,5,3,4]=>[1,4,7,8,6,5,3,2]=>[2,3,5,6,8,7,4,1]
[.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[1,8,7,2,6,5,4,3]=>[1,4,8,7,6,5,3,2]=>[2,3,5,6,7,8,4,1]
[.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[2,6,5,4,3,7,8,1]=>[1,8,7,3,4,5,6,2]=>[1,8,4,5,6,7,3,2]=>[2,3,7,6,5,4,8,1]
[.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>[2,5,6,4,3,7,8,1]=>[1,8,7,3,4,6,5,2]=>[1,8,4,5,7,6,3,2]=>[2,3,6,7,5,4,8,1]
[.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>[2,4,6,5,3,7,8,1]=>[1,8,7,3,5,6,4,2]=>[1,8,4,7,5,6,3,2]=>[2,3,6,5,7,4,8,1]
[.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[2,5,4,6,3,7,8,1]=>[1,8,7,3,6,4,5,2]=>[1,8,4,6,7,5,3,2]=>[2,3,5,7,6,4,8,1]
[.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[2,4,5,6,3,7,8,1]=>[1,8,7,3,6,5,4,2]=>[1,8,4,7,6,5,3,2]=>[2,3,5,6,7,4,8,1]
[.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>[3,2,6,5,4,7,8,1]=>[1,8,7,4,5,6,2,3]=>[1,7,8,4,5,6,3,2]=>[2,3,6,5,4,8,7,1]
[.,[[[[.,[.,.]],[[.,.],.]],.],.]]=>[3,2,5,6,4,7,8,1]=>[1,8,7,4,6,5,2,3]=>[1,7,8,4,6,5,3,2]=>[2,3,5,6,4,8,7,1]
[.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[2,3,6,5,4,7,8,1]=>[1,8,7,4,5,6,3,2]=>[1,8,7,4,5,6,3,2]=>[2,3,6,5,4,7,8,1]
[.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[2,3,5,6,4,7,8,1]=>[1,8,7,4,6,5,3,2]=>[1,8,7,4,6,5,3,2]=>[2,3,5,6,4,7,8,1]
[.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>[4,3,2,6,5,7,8,1]=>[1,8,7,5,6,2,3,4]=>[1,6,7,8,4,5,3,2]=>[2,3,5,4,8,7,6,1]
[.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>[3,4,2,6,5,7,8,1]=>[1,8,7,5,6,2,4,3]=>[1,6,8,7,4,5,3,2]=>[2,3,5,4,7,8,6,1]
[.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[2,4,3,6,5,7,8,1]=>[1,8,7,5,6,3,4,2]=>[1,8,6,7,4,5,3,2]=>[2,3,5,4,7,6,8,1]
[.,[[[[[.,[.,.]],.],[.,.]],.],.]]=>[3,2,4,6,5,7,8,1]=>[1,8,7,5,6,4,2,3]=>[1,7,8,6,4,5,3,2]=>[2,3,5,4,6,8,7,1]
[.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[2,3,4,6,5,7,8,1]=>[1,8,7,5,6,4,3,2]=>[1,8,7,6,4,5,3,2]=>[2,3,5,4,6,7,8,1]
[.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[1,8,7,6,2,3,4,5]=>[1,5,6,7,8,4,3,2]=>[2,3,4,8,7,6,5,1]
[.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>[4,5,3,2,6,7,8,1]=>[1,8,7,6,2,3,5,4]=>[1,5,6,8,7,4,3,2]=>[2,3,4,7,8,6,5,1]
[.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[3,5,4,2,6,7,8,1]=>[1,8,7,6,2,4,5,3]=>[1,5,8,6,7,4,3,2]=>[2,3,4,7,6,8,5,1]
[.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[1,8,7,6,2,5,3,4]=>[1,5,7,8,6,4,3,2]=>[2,3,4,6,8,7,5,1]
[.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[3,4,5,2,6,7,8,1]=>[1,8,7,6,2,5,4,3]=>[1,5,8,7,6,4,3,2]=>[2,3,4,6,7,8,5,1]
[.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[2,5,4,3,6,7,8,1]=>[1,8,7,6,3,4,5,2]=>[1,8,5,6,7,4,3,2]=>[2,3,4,7,6,5,8,1]
[.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[2,4,5,3,6,7,8,1]=>[1,8,7,6,3,5,4,2]=>[1,8,5,7,6,4,3,2]=>[2,3,4,6,7,5,8,1]
[.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[3,2,5,4,6,7,8,1]=>[1,8,7,6,4,5,2,3]=>[1,7,8,5,6,4,3,2]=>[2,3,4,6,5,8,7,1]
[.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[2,3,5,4,6,7,8,1]=>[1,8,7,6,4,5,3,2]=>[1,8,7,5,6,4,3,2]=>[2,3,4,6,5,7,8,1]
[.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[1,8,7,6,5,2,3,4]=>[1,6,7,8,5,4,3,2]=>[2,3,4,5,8,7,6,1]
[.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[1,8,7,6,5,2,4,3]=>[1,6,8,7,5,4,3,2]=>[2,3,4,5,7,8,6,1]
[.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[2,4,3,5,6,7,8,1]=>[1,8,7,6,5,3,4,2]=>[1,8,6,7,5,4,3,2]=>[2,3,4,5,7,6,8,1]
[.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3]=>[1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1]
[.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]
[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8]
[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1]=>[8,1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1,8]
[[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[1,6,8,7,5,4,3,2]=>[2,3,4,5,7,8,6,1]=>[8,1,2,3,4,7,5,6]=>[6,5,7,4,3,2,1,8]
[[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[1,7,6,8,5,4,3,2]=>[2,3,4,5,8,6,7,1]=>[8,1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1,8]
[[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[1,6,7,8,5,4,3,2]=>[2,3,4,5,8,7,6,1]=>[8,1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1,8]
[[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[1,5,8,7,6,4,3,2]=>[2,3,4,6,7,8,5,1]=>[8,1,2,3,7,4,5,6]=>[6,5,4,7,3,2,1,8]
[[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[1,5,7,8,6,4,3,2]=>[2,3,4,6,8,7,5,1]=>[8,1,2,3,7,4,6,5]=>[5,6,4,7,3,2,1,8]
[[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[1,6,5,8,7,4,3,2]=>[2,3,4,7,8,5,6,1]=>[8,1,2,3,6,7,4,5]=>[5,4,7,6,3,2,1,8]
[[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[1,5,6,8,7,4,3,2]=>[2,3,4,7,8,6,5,1]=>[8,1,2,3,7,6,4,5]=>[5,4,6,7,3,2,1,8]
[[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[1,7,6,5,8,4,3,2]=>[2,3,4,8,5,6,7,1]=>[8,1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1,8]
[[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[1,6,7,5,8,4,3,2]=>[2,3,4,8,5,7,6,1]=>[8,1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1,8]
[[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[1,5,7,6,8,4,3,2]=>[2,3,4,8,6,7,5,1]=>[8,1,2,3,7,5,6,4]=>[4,6,5,7,3,2,1,8]
[[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[1,6,5,7,8,4,3,2]=>[2,3,4,8,7,5,6,1]=>[8,1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1,8]
[[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[1,5,6,7,8,4,3,2]=>[2,3,4,8,7,6,5,1]=>[8,1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1,8]
[[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[1,4,8,7,6,5,3,2]=>[2,3,5,6,7,8,4,1]=>[8,1,2,7,3,4,5,6]=>[6,5,4,3,7,2,1,8]
[[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[1,4,7,8,6,5,3,2]=>[2,3,5,6,8,7,4,1]=>[8,1,2,7,3,4,6,5]=>[5,6,4,3,7,2,1,8]
[[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[1,4,6,8,7,5,3,2]=>[2,3,5,7,8,6,4,1]=>[8,1,2,7,3,6,4,5]=>[5,4,6,3,7,2,1,8]
[[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>[1,4,7,6,8,5,3,2]=>[2,3,5,8,6,7,4,1]=>[8,1,2,7,3,5,6,4]=>[4,6,5,3,7,2,1,8]
[[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[1,4,6,7,8,5,3,2]=>[2,3,5,8,7,6,4,1]=>[8,1,2,7,3,6,5,4]=>[4,5,6,3,7,2,1,8]
[[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[1,5,4,8,7,6,3,2]=>[2,3,6,7,8,4,5,1]=>[8,1,2,6,7,3,4,5]=>[5,4,3,7,6,2,1,8]
[[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>[1,5,4,7,8,6,3,2]=>[2,3,6,8,7,4,5,1]=>[8,1,2,6,7,3,5,4]=>[4,5,3,7,6,2,1,8]
[[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[1,4,5,8,7,6,3,2]=>[2,3,6,7,8,5,4,1]=>[8,1,2,7,6,3,4,5]=>[5,4,3,6,7,2,1,8]
[[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[1,4,5,7,8,6,3,2]=>[2,3,6,8,7,5,4,1]=>[8,1,2,7,6,3,5,4]=>[4,5,3,6,7,2,1,8]
[[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>[1,6,5,4,8,7,3,2]=>[2,3,7,8,4,5,6,1]=>[8,1,2,5,6,7,3,4]=>[4,3,7,6,5,2,1,8]
[[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[1,5,6,4,8,7,3,2]=>[2,3,7,8,4,6,5,1]=>[8,1,2,5,7,6,3,4]=>[4,3,6,7,5,2,1,8]
[[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[1,4,6,5,8,7,3,2]=>[2,3,7,8,5,6,4,1]=>[8,1,2,7,5,6,3,4]=>[4,3,6,5,7,2,1,8]
[[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>[1,5,4,6,8,7,3,2]=>[2,3,7,8,6,4,5,1]=>[8,1,2,6,7,5,3,4]=>[4,3,5,7,6,2,1,8]
[[.,.],[.,[[[[.,.],.],.],[.,.]]]]=>[1,4,5,6,8,7,3,2]=>[2,3,7,8,6,5,4,1]=>[8,1,2,7,6,5,3,4]=>[4,3,5,6,7,2,1,8]
[[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[1,7,6,5,4,8,3,2]=>[2,3,8,4,5,6,7,1]=>[8,1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1,8]
[[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>[1,6,7,5,4,8,3,2]=>[2,3,8,4,5,7,6,1]=>[8,1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1,8]
[[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>[1,5,7,6,4,8,3,2]=>[2,3,8,4,6,7,5,1]=>[8,1,2,4,7,5,6,3]=>[3,6,5,7,4,2,1,8]
[[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[1,6,5,7,4,8,3,2]=>[2,3,8,4,7,5,6,1]=>[8,1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1,8]
[[.,.],[.,[[.,[[[.,.],.],.]],.]]]=>[1,5,6,7,4,8,3,2]=>[2,3,8,4,7,6,5,1]=>[8,1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1,8]
[[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[1,4,7,6,5,8,3,2]=>[2,3,8,5,6,7,4,1]=>[8,1,2,7,4,5,6,3]=>[3,6,5,4,7,2,1,8]
[[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[1,4,6,7,5,8,3,2]=>[2,3,8,5,7,6,4,1]=>[8,1,2,7,4,6,5,3]=>[3,5,6,4,7,2,1,8]
[[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>[1,5,4,7,6,8,3,2]=>[2,3,8,6,7,4,5,1]=>[8,1,2,6,7,4,5,3]=>[3,5,4,7,6,2,1,8]
[[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>[1,4,5,7,6,8,3,2]=>[2,3,8,6,7,5,4,1]=>[8,1,2,7,6,4,5,3]=>[3,5,4,6,7,2,1,8]
[[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>[1,6,5,4,7,8,3,2]=>[2,3,8,7,4,5,6,1]=>[8,1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1,8]
[[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[1,5,6,4,7,8,3,2]=>[2,3,8,7,4,6,5,1]=>[8,1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1,8]
[[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>[1,4,6,5,7,8,3,2]=>[2,3,8,7,5,6,4,1]=>[8,1,2,7,5,6,4,3]=>[3,4,6,5,7,2,1,8]
[[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[1,5,4,6,7,8,3,2]=>[2,3,8,7,6,4,5,1]=>[8,1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1,8]
[[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[1,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,1]=>[8,1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1,8]
[[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[1,3,8,7,6,5,4,2]=>[2,4,5,6,7,8,3,1]=>[8,1,7,2,3,4,5,6]=>[6,5,4,3,2,7,1,8]
[[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[1,3,7,8,6,5,4,2]=>[2,4,5,6,8,7,3,1]=>[8,1,7,2,3,4,6,5]=>[5,6,4,3,2,7,1,8]
[[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[1,3,6,8,7,5,4,2]=>[2,4,5,7,8,6,3,1]=>[8,1,7,2,3,6,4,5]=>[5,4,6,3,2,7,1,8]
[[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>[1,3,7,6,8,5,4,2]=>[2,4,5,8,6,7,3,1]=>[8,1,7,2,3,5,6,4]=>[4,6,5,3,2,7,1,8]
[[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[1,3,6,7,8,5,4,2]=>[2,4,5,8,7,6,3,1]=>[8,1,7,2,3,6,5,4]=>[4,5,6,3,2,7,1,8]
[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[1,3,5,8,7,6,4,2]=>[2,4,6,7,8,5,3,1]=>[8,1,7,2,6,3,4,5]=>[5,4,3,6,2,7,1,8]
[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1]=>[8,1,7,2,6,3,5,4]=>[4,5,3,6,2,7,1,8]
[[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[1,3,6,5,8,7,4,2]=>[2,4,7,8,5,6,3,1]=>[8,1,7,2,5,6,3,4]=>[4,3,6,5,2,7,1,8]
[[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[1,3,5,6,8,7,4,2]=>[2,4,7,8,6,5,3,1]=>[8,1,7,2,6,5,3,4]=>[4,3,5,6,2,7,1,8]
[[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[1,3,7,6,5,8,4,2]=>[2,4,8,5,6,7,3,1]=>[8,1,7,2,4,5,6,3]=>[3,6,5,4,2,7,1,8]
[[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[1,3,6,7,5,8,4,2]=>[2,4,8,5,7,6,3,1]=>[8,1,7,2,4,6,5,3]=>[3,5,6,4,2,7,1,8]
[[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[1,3,5,7,6,8,4,2]=>[2,4,8,6,7,5,3,1]=>[8,1,7,2,6,4,5,3]=>[3,5,4,6,2,7,1,8]
[[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[1,3,6,5,7,8,4,2]=>[2,4,8,7,5,6,3,1]=>[8,1,7,2,5,6,4,3]=>[3,4,6,5,2,7,1,8]
[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[1,3,5,6,7,8,4,2]=>[2,4,8,7,6,5,3,1]=>[8,1,7,2,6,5,4,3]=>[3,4,5,6,2,7,1,8]
[[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[2,5,6,7,8,3,4,1]=>[8,1,6,7,2,3,4,5]=>[5,4,3,2,7,6,1,8]
[[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[1,4,3,7,8,6,5,2]=>[2,5,6,8,7,3,4,1]=>[8,1,6,7,2,3,5,4]=>[4,5,3,2,7,6,1,8]
[[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[1,4,3,6,8,7,5,2]=>[2,5,7,8,6,3,4,1]=>[8,1,6,7,2,5,3,4]=>[4,3,5,2,7,6,1,8]
[[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[1,4,3,7,6,8,5,2]=>[2,5,8,6,7,3,4,1]=>[8,1,6,7,2,4,5,3]=>[3,5,4,2,7,6,1,8]
[[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[1,4,3,6,7,8,5,2]=>[2,5,8,7,6,3,4,1]=>[8,1,6,7,2,5,4,3]=>[3,4,5,2,7,6,1,8]
[[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[1,3,4,8,7,6,5,2]=>[2,5,6,7,8,4,3,1]=>[8,1,7,6,2,3,4,5]=>[5,4,3,2,6,7,1,8]
[[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[1,3,4,7,8,6,5,2]=>[2,5,6,8,7,4,3,1]=>[8,1,7,6,2,3,5,4]=>[4,5,3,2,6,7,1,8]
[[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[1,3,4,6,8,7,5,2]=>[2,5,7,8,6,4,3,1]=>[8,1,7,6,2,5,3,4]=>[4,3,5,2,6,7,1,8]
[[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[1,3,4,7,6,8,5,2]=>[2,5,8,6,7,4,3,1]=>[8,1,7,6,2,4,5,3]=>[3,5,4,2,6,7,1,8]
[[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[1,3,4,6,7,8,5,2]=>[2,5,8,7,6,4,3,1]=>[8,1,7,6,2,5,4,3]=>[3,4,5,2,6,7,1,8]
[[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[1,5,4,3,8,7,6,2]=>[2,6,7,8,3,4,5,1]=>[8,1,5,6,7,2,3,4]=>[4,3,2,7,6,5,1,8]
[[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[1,5,4,3,7,8,6,2]=>[2,6,8,7,3,4,5,1]=>[8,1,5,6,7,2,4,3]=>[3,4,2,7,6,5,1,8]
[[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[1,4,5,3,8,7,6,2]=>[2,6,7,8,3,5,4,1]=>[8,1,5,7,6,2,3,4]=>[4,3,2,6,7,5,1,8]
[[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[1,4,5,3,7,8,6,2]=>[2,6,8,7,3,5,4,1]=>[8,1,5,7,6,2,4,3]=>[3,4,2,6,7,5,1,8]
[[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[1,3,5,4,8,7,6,2]=>[2,6,7,8,4,5,3,1]=>[8,1,7,5,6,2,3,4]=>[4,3,2,6,5,7,1,8]
[[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[1,3,5,4,7,8,6,2]=>[2,6,8,7,4,5,3,1]=>[8,1,7,5,6,2,4,3]=>[3,4,2,6,5,7,1,8]
[[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[1,4,3,5,8,7,6,2]=>[2,6,7,8,5,3,4,1]=>[8,1,6,7,5,2,3,4]=>[4,3,2,5,7,6,1,8]
[[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[1,4,3,5,7,8,6,2]=>[2,6,8,7,5,3,4,1]=>[8,1,6,7,5,2,4,3]=>[3,4,2,5,7,6,1,8]
[[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[1,3,4,5,8,7,6,2]=>[2,6,7,8,5,4,3,1]=>[8,1,7,6,5,2,3,4]=>[4,3,2,5,6,7,1,8]
[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[1,3,4,5,7,8,6,2]=>[2,6,8,7,5,4,3,1]=>[8,1,7,6,5,2,4,3]=>[3,4,2,5,6,7,1,8]
[[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[1,6,5,4,3,8,7,2]=>[2,7,8,3,4,5,6,1]=>[8,1,4,5,6,7,2,3]=>[3,2,7,6,5,4,1,8]
[[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[1,5,6,4,3,8,7,2]=>[2,7,8,3,4,6,5,1]=>[8,1,4,5,7,6,2,3]=>[3,2,6,7,5,4,1,8]
[[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[1,4,6,5,3,8,7,2]=>[2,7,8,3,5,6,4,1]=>[8,1,4,7,5,6,2,3]=>[3,2,6,5,7,4,1,8]
[[.,.],[[.,[[.,[.,.]],.]],[.,.]]]=>[1,5,4,6,3,8,7,2]=>[2,7,8,3,6,4,5,1]=>[8,1,4,6,7,5,2,3]=>[3,2,5,7,6,4,1,8]
[[.,.],[[.,[[[.,.],.],.]],[.,.]]]=>[1,4,5,6,3,8,7,2]=>[2,7,8,3,6,5,4,1]=>[8,1,4,7,6,5,2,3]=>[3,2,5,6,7,4,1,8]
[[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[1,3,6,5,4,8,7,2]=>[2,7,8,4,5,6,3,1]=>[8,1,7,4,5,6,2,3]=>[3,2,6,5,4,7,1,8]
[[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[1,3,5,6,4,8,7,2]=>[2,7,8,4,6,5,3,1]=>[8,1,7,4,6,5,2,3]=>[3,2,5,6,4,7,1,8]
[[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[2,7,8,5,6,3,4,1]=>[8,1,6,7,4,5,2,3]=>[3,2,5,4,7,6,1,8]
[[.,.],[[[[.,.],.],[.,.]],[.,.]]]=>[1,3,4,6,5,8,7,2]=>[2,7,8,5,6,4,3,1]=>[8,1,7,6,4,5,2,3]=>[3,2,5,4,6,7,1,8]
[[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[1,5,4,3,6,8,7,2]=>[2,7,8,6,3,4,5,1]=>[8,1,5,6,7,4,2,3]=>[3,2,4,7,6,5,1,8]
[[.,.],[[[.,[[.,.],.]],.],[.,.]]]=>[1,4,5,3,6,8,7,2]=>[2,7,8,6,3,5,4,1]=>[8,1,5,7,6,4,2,3]=>[3,2,4,6,7,5,1,8]
[[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[1,3,5,4,6,8,7,2]=>[2,7,8,6,4,5,3,1]=>[8,1,7,5,6,4,2,3]=>[3,2,4,6,5,7,1,8]
[[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[1,4,3,5,6,8,7,2]=>[2,7,8,6,5,3,4,1]=>[8,1,6,7,5,4,2,3]=>[3,2,4,5,7,6,1,8]
[[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[1,3,4,5,6,8,7,2]=>[2,7,8,6,5,4,3,1]=>[8,1,7,6,5,4,2,3]=>[3,2,4,5,6,7,1,8]
[[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[1,7,6,5,4,3,8,2]=>[2,8,3,4,5,6,7,1]=>[8,1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1,8]
[[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>[1,6,7,5,4,3,8,2]=>[2,8,3,4,5,7,6,1]=>[8,1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1,8]
[[.,.],[[.,[.,[[.,.],[.,.]]]],.]]=>[1,5,7,6,4,3,8,2]=>[2,8,3,4,6,7,5,1]=>[8,1,3,4,7,5,6,2]=>[2,6,5,7,4,3,1,8]
[[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[1,6,5,7,4,3,8,2]=>[2,8,3,4,7,5,6,1]=>[8,1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1,8]
[[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[1,5,6,7,4,3,8,2]=>[2,8,3,4,7,6,5,1]=>[8,1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1,8]
[[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>[1,4,7,6,5,3,8,2]=>[2,8,3,5,6,7,4,1]=>[8,1,3,7,4,5,6,2]=>[2,6,5,4,7,3,1,8]
[[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[1,4,6,7,5,3,8,2]=>[2,8,3,5,7,6,4,1]=>[8,1,3,7,4,6,5,2]=>[2,5,6,4,7,3,1,8]
[[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[1,5,4,7,6,3,8,2]=>[2,8,3,6,7,4,5,1]=>[8,1,3,6,7,4,5,2]=>[2,5,4,7,6,3,1,8]
[[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>[1,4,5,7,6,3,8,2]=>[2,8,3,6,7,5,4,1]=>[8,1,3,7,6,4,5,2]=>[2,5,4,6,7,3,1,8]
[[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>[1,6,5,4,7,3,8,2]=>[2,8,3,7,4,5,6,1]=>[8,1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1,8]
[[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[1,5,6,4,7,3,8,2]=>[2,8,3,7,4,6,5,1]=>[8,1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1,8]
[[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>[1,4,6,5,7,3,8,2]=>[2,8,3,7,5,6,4,1]=>[8,1,3,7,5,6,4,2]=>[2,4,6,5,7,3,1,8]
[[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[1,5,4,6,7,3,8,2]=>[2,8,3,7,6,4,5,1]=>[8,1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1,8]
[[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[1,4,5,6,7,3,8,2]=>[2,8,3,7,6,5,4,1]=>[8,1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1,8]
[[.,.],[[[.,.],[.,[.,[.,.]]]],.]]=>[1,3,7,6,5,4,8,2]=>[2,8,4,5,6,7,3,1]=>[8,1,7,3,4,5,6,2]=>[2,6,5,4,3,7,1,8]
[[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>[1,3,6,7,5,4,8,2]=>[2,8,4,5,7,6,3,1]=>[8,1,7,3,4,6,5,2]=>[2,5,6,4,3,7,1,8]
[[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[1,3,5,7,6,4,8,2]=>[2,8,4,6,7,5,3,1]=>[8,1,7,3,6,4,5,2]=>[2,5,4,6,3,7,1,8]
[[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>[1,3,6,5,7,4,8,2]=>[2,8,4,7,5,6,3,1]=>[8,1,7,3,5,6,4,2]=>[2,4,6,5,3,7,1,8]
[[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[1,3,5,6,7,4,8,2]=>[2,8,4,7,6,5,3,1]=>[8,1,7,3,6,5,4,2]=>[2,4,5,6,3,7,1,8]
[[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>[1,4,3,6,7,5,8,2]=>[2,8,5,7,6,3,4,1]=>[8,1,6,7,3,5,4,2]=>[2,4,5,3,7,6,1,8]
[[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[1,3,4,7,6,5,8,2]=>[2,8,5,6,7,4,3,1]=>[8,1,7,6,3,4,5,2]=>[2,5,4,3,6,7,1,8]
[[.,.],[[[[.,.],.],[[.,.],.]],.]]=>[1,3,4,6,7,5,8,2]=>[2,8,5,7,6,4,3,1]=>[8,1,7,6,3,5,4,2]=>[2,4,5,3,6,7,1,8]
[[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[1,5,4,3,7,6,8,2]=>[2,8,6,7,3,4,5,1]=>[8,1,5,6,7,3,4,2]=>[2,4,3,7,6,5,1,8]
[[.,.],[[[.,[[.,.],.]],[.,.]],.]]=>[1,4,5,3,7,6,8,2]=>[2,8,6,7,3,5,4,1]=>[8,1,5,7,6,3,4,2]=>[2,4,3,6,7,5,1,8]
[[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[1,3,5,4,7,6,8,2]=>[2,8,6,7,4,5,3,1]=>[8,1,7,5,6,3,4,2]=>[2,4,3,6,5,7,1,8]
[[.,.],[[[[.,[.,.]],.],[.,.]],.]]=>[1,4,3,5,7,6,8,2]=>[2,8,6,7,5,3,4,1]=>[8,1,6,7,5,3,4,2]=>[2,4,3,5,7,6,1,8]
[[.,.],[[[[[.,.],.],.],[.,.]],.]]=>[1,3,4,5,7,6,8,2]=>[2,8,6,7,5,4,3,1]=>[8,1,7,6,5,3,4,2]=>[2,4,3,5,6,7,1,8]
[[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[1,6,5,4,3,7,8,2]=>[2,8,7,3,4,5,6,1]=>[8,1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1,8]
[[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>[1,5,6,4,3,7,8,2]=>[2,8,7,3,4,6,5,1]=>[8,1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1,8]
[[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>[1,4,6,5,3,7,8,2]=>[2,8,7,3,5,6,4,1]=>[8,1,4,7,5,6,3,2]=>[2,3,6,5,7,4,1,8]
[[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[1,5,4,6,3,7,8,2]=>[2,8,7,3,6,4,5,1]=>[8,1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1,8]
[[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[1,4,5,6,3,7,8,2]=>[2,8,7,3,6,5,4,1]=>[8,1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1,8]
[[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>[1,3,6,5,4,7,8,2]=>[2,8,7,4,5,6,3,1]=>[8,1,7,4,5,6,3,2]=>[2,3,6,5,4,7,1,8]
[[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[1,3,5,6,4,7,8,2]=>[2,8,7,4,6,5,3,1]=>[8,1,7,4,6,5,3,2]=>[2,3,5,6,4,7,1,8]
[[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[1,4,3,6,5,7,8,2]=>[2,8,7,5,6,3,4,1]=>[8,1,6,7,4,5,3,2]=>[2,3,5,4,7,6,1,8]
[[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[1,3,4,6,5,7,8,2]=>[2,8,7,5,6,4,3,1]=>[8,1,7,6,4,5,3,2]=>[2,3,5,4,6,7,1,8]
[[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[1,5,4,3,6,7,8,2]=>[2,8,7,6,3,4,5,1]=>[8,1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1,8]
[[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[1,4,5,3,6,7,8,2]=>[2,8,7,6,3,5,4,1]=>[8,1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1,8]
[[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[1,3,5,4,6,7,8,2]=>[2,8,7,6,4,5,3,1]=>[8,1,7,5,6,4,3,2]=>[2,3,4,6,5,7,1,8]
[[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[1,4,3,5,6,7,8,2]=>[2,8,7,6,5,3,4,1]=>[8,1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1,8]
[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1]=>[8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8]
[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7]
[[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[2,1,7,8,6,5,4,3]=>[3,4,5,6,8,7,1,2]=>[7,8,1,2,3,4,6,5]=>[5,6,4,3,2,1,8,7]
[[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[2,1,6,8,7,5,4,3]=>[3,4,5,7,8,6,1,2]=>[7,8,1,2,3,6,4,5]=>[5,4,6,3,2,1,8,7]
[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[2,1,7,6,8,5,4,3]=>[3,4,5,8,6,7,1,2]=>[7,8,1,2,3,5,6,4]=>[4,6,5,3,2,1,8,7]
[[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[3,4,5,8,7,6,1,2]=>[7,8,1,2,3,6,5,4]=>[4,5,6,3,2,1,8,7]
[[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[2,1,5,8,7,6,4,3]=>[3,4,6,7,8,5,1,2]=>[7,8,1,2,6,3,4,5]=>[5,4,3,6,2,1,8,7]
[[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[2,1,5,7,8,6,4,3]=>[3,4,6,8,7,5,1,2]=>[7,8,1,2,6,3,5,4]=>[4,5,3,6,2,1,8,7]
[[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[2,1,6,5,8,7,4,3]=>[3,4,7,8,5,6,1,2]=>[7,8,1,2,5,6,3,4]=>[4,3,6,5,2,1,8,7]
[[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[2,1,5,6,8,7,4,3]=>[3,4,7,8,6,5,1,2]=>[7,8,1,2,6,5,3,4]=>[4,3,5,6,2,1,8,7]
[[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[2,1,7,6,5,8,4,3]=>[3,4,8,5,6,7,1,2]=>[7,8,1,2,4,5,6,3]=>[3,6,5,4,2,1,8,7]
[[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[2,1,6,7,5,8,4,3]=>[3,4,8,5,7,6,1,2]=>[7,8,1,2,4,6,5,3]=>[3,5,6,4,2,1,8,7]
[[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[2,1,5,7,6,8,4,3]=>[3,4,8,6,7,5,1,2]=>[7,8,1,2,6,4,5,3]=>[3,5,4,6,2,1,8,7]
[[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[2,1,6,5,7,8,4,3]=>[3,4,8,7,5,6,1,2]=>[7,8,1,2,5,6,4,3]=>[3,4,6,5,2,1,8,7]
[[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[2,1,5,6,7,8,4,3]=>[3,4,8,7,6,5,1,2]=>[7,8,1,2,6,5,4,3]=>[3,4,5,6,2,1,8,7]
[[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[2,1,4,8,7,6,5,3]=>[3,5,6,7,8,4,1,2]=>[7,8,1,6,2,3,4,5]=>[5,4,3,2,6,1,8,7]
[[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[2,1,4,7,8,6,5,3]=>[3,5,6,8,7,4,1,2]=>[7,8,1,6,2,3,5,4]=>[4,5,3,2,6,1,8,7]
[[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[2,1,4,6,8,7,5,3]=>[3,5,7,8,6,4,1,2]=>[7,8,1,6,2,5,3,4]=>[4,3,5,2,6,1,8,7]
[[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[2,1,4,7,6,8,5,3]=>[3,5,8,6,7,4,1,2]=>[7,8,1,6,2,4,5,3]=>[3,5,4,2,6,1,8,7]
[[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[2,1,4,6,7,8,5,3]=>[3,5,8,7,6,4,1,2]=>[7,8,1,6,2,5,4,3]=>[3,4,5,2,6,1,8,7]
[[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[2,1,5,4,8,7,6,3]=>[3,6,7,8,4,5,1,2]=>[7,8,1,5,6,2,3,4]=>[4,3,2,6,5,1,8,7]
[[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[2,1,5,4,7,8,6,3]=>[3,6,8,7,4,5,1,2]=>[7,8,1,5,6,2,4,3]=>[3,4,2,6,5,1,8,7]
[[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[2,1,4,5,8,7,6,3]=>[3,6,7,8,5,4,1,2]=>[7,8,1,6,5,2,3,4]=>[4,3,2,5,6,1,8,7]
[[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[2,1,4,5,7,8,6,3]=>[3,6,8,7,5,4,1,2]=>[7,8,1,6,5,2,4,3]=>[3,4,2,5,6,1,8,7]
[[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[2,1,6,5,4,8,7,3]=>[3,7,8,4,5,6,1,2]=>[7,8,1,4,5,6,2,3]=>[3,2,6,5,4,1,8,7]
[[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[2,1,5,6,4,8,7,3]=>[3,7,8,4,6,5,1,2]=>[7,8,1,4,6,5,2,3]=>[3,2,5,6,4,1,8,7]
[[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[2,1,4,6,5,8,7,3]=>[3,7,8,5,6,4,1,2]=>[7,8,1,6,4,5,2,3]=>[3,2,5,4,6,1,8,7]
[[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[2,1,5,4,6,8,7,3]=>[3,7,8,6,4,5,1,2]=>[7,8,1,5,6,4,2,3]=>[3,2,4,6,5,1,8,7]
[[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[2,1,4,5,6,8,7,3]=>[3,7,8,6,5,4,1,2]=>[7,8,1,6,5,4,2,3]=>[3,2,4,5,6,1,8,7]
[[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>[2,1,7,6,5,4,8,3]=>[3,8,4,5,6,7,1,2]=>[7,8,1,3,4,5,6,2]=>[2,6,5,4,3,1,8,7]
[[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[2,1,6,7,5,4,8,3]=>[3,8,4,5,7,6,1,2]=>[7,8,1,3,4,6,5,2]=>[2,5,6,4,3,1,8,7]
[[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[2,1,5,7,6,4,8,3]=>[3,8,4,6,7,5,1,2]=>[7,8,1,3,6,4,5,2]=>[2,5,4,6,3,1,8,7]
[[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[2,1,6,5,7,4,8,3]=>[3,8,4,7,5,6,1,2]=>[7,8,1,3,5,6,4,2]=>[2,4,6,5,3,1,8,7]
[[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[2,1,5,6,7,4,8,3]=>[3,8,4,7,6,5,1,2]=>[7,8,1,3,6,5,4,2]=>[2,4,5,6,3,1,8,7]
[[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[2,1,4,7,6,5,8,3]=>[3,8,5,6,7,4,1,2]=>[7,8,1,6,3,4,5,2]=>[2,5,4,3,6,1,8,7]
[[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[2,1,4,6,7,5,8,3]=>[3,8,5,7,6,4,1,2]=>[7,8,1,6,3,5,4,2]=>[2,4,5,3,6,1,8,7]
[[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,8,3]=>[3,8,6,7,4,5,1,2]=>[7,8,1,5,6,3,4,2]=>[2,4,3,6,5,1,8,7]
[[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>[2,1,4,5,7,6,8,3]=>[3,8,6,7,5,4,1,2]=>[7,8,1,6,5,3,4,2]=>[2,4,3,5,6,1,8,7]
[[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[2,1,6,5,4,7,8,3]=>[3,8,7,4,5,6,1,2]=>[7,8,1,4,5,6,3,2]=>[2,3,6,5,4,1,8,7]
[[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[2,1,5,6,4,7,8,3]=>[3,8,7,4,6,5,1,2]=>[7,8,1,4,6,5,3,2]=>[2,3,5,6,4,1,8,7]
[[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>[2,1,4,6,5,7,8,3]=>[3,8,7,5,6,4,1,2]=>[7,8,1,6,4,5,3,2]=>[2,3,5,4,6,1,8,7]
[[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[2,1,5,4,6,7,8,3]=>[3,8,7,6,4,5,1,2]=>[7,8,1,5,6,4,3,2]=>[2,3,4,6,5,1,8,7]
[[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2]=>[7,8,1,6,5,4,3,2]=>[2,3,4,5,6,1,8,7]
[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,1]=>[8,7,1,2,3,4,5,6]=>[6,5,4,3,2,1,7,8]
[[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[1,2,7,8,6,5,4,3]=>[3,4,5,6,8,7,2,1]=>[8,7,1,2,3,4,6,5]=>[5,6,4,3,2,1,7,8]
[[[.,.],.],[.,[.,[[.,.],[.,.]]]]]=>[1,2,6,8,7,5,4,3]=>[3,4,5,7,8,6,2,1]=>[8,7,1,2,3,6,4,5]=>[5,4,6,3,2,1,7,8]
[[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>[1,2,7,6,8,5,4,3]=>[3,4,5,8,6,7,2,1]=>[8,7,1,2,3,5,6,4]=>[4,6,5,3,2,1,7,8]
[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[1,2,6,7,8,5,4,3]=>[3,4,5,8,7,6,2,1]=>[8,7,1,2,3,6,5,4]=>[4,5,6,3,2,1,7,8]
[[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[1,2,5,8,7,6,4,3]=>[3,4,6,7,8,5,2,1]=>[8,7,1,2,6,3,4,5]=>[5,4,3,6,2,1,7,8]
[[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[1,2,5,7,8,6,4,3]=>[3,4,6,8,7,5,2,1]=>[8,7,1,2,6,3,5,4]=>[4,5,3,6,2,1,7,8]
[[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[1,2,6,5,8,7,4,3]=>[3,4,7,8,5,6,2,1]=>[8,7,1,2,5,6,3,4]=>[4,3,6,5,2,1,7,8]
[[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[1,2,5,6,8,7,4,3]=>[3,4,7,8,6,5,2,1]=>[8,7,1,2,6,5,3,4]=>[4,3,5,6,2,1,7,8]
[[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[1,2,7,6,5,8,4,3]=>[3,4,8,5,6,7,2,1]=>[8,7,1,2,4,5,6,3]=>[3,6,5,4,2,1,7,8]
[[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[1,2,6,7,5,8,4,3]=>[3,4,8,5,7,6,2,1]=>[8,7,1,2,4,6,5,3]=>[3,5,6,4,2,1,7,8]
[[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[1,2,6,5,7,8,4,3]=>[3,4,8,7,5,6,2,1]=>[8,7,1,2,5,6,4,3]=>[3,4,6,5,2,1,7,8]
[[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[1,2,5,6,7,8,4,3]=>[3,4,8,7,6,5,2,1]=>[8,7,1,2,6,5,4,3]=>[3,4,5,6,2,1,7,8]
[[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[1,2,4,8,7,6,5,3]=>[3,5,6,7,8,4,2,1]=>[8,7,1,6,2,3,4,5]=>[5,4,3,2,6,1,7,8]
[[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[1,2,4,7,8,6,5,3]=>[3,5,6,8,7,4,2,1]=>[8,7,1,6,2,3,5,4]=>[4,5,3,2,6,1,7,8]
[[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[1,2,4,6,8,7,5,3]=>[3,5,7,8,6,4,2,1]=>[8,7,1,6,2,5,3,4]=>[4,3,5,2,6,1,7,8]
[[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>[1,2,4,7,6,8,5,3]=>[3,5,8,6,7,4,2,1]=>[8,7,1,6,2,4,5,3]=>[3,5,4,2,6,1,7,8]
[[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[1,2,4,6,7,8,5,3]=>[3,5,8,7,6,4,2,1]=>[8,7,1,6,2,5,4,3]=>[3,4,5,2,6,1,7,8]
[[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[1,2,5,4,8,7,6,3]=>[3,6,7,8,4,5,2,1]=>[8,7,1,5,6,2,3,4]=>[4,3,2,6,5,1,7,8]
[[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[1,2,5,4,7,8,6,3]=>[3,6,8,7,4,5,2,1]=>[8,7,1,5,6,2,4,3]=>[3,4,2,6,5,1,7,8]
[[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[1,2,4,5,8,7,6,3]=>[3,6,7,8,5,4,2,1]=>[8,7,1,6,5,2,3,4]=>[4,3,2,5,6,1,7,8]
[[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[1,2,4,5,7,8,6,3]=>[3,6,8,7,5,4,2,1]=>[8,7,1,6,5,2,4,3]=>[3,4,2,5,6,1,7,8]
[[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[1,2,6,5,4,8,7,3]=>[3,7,8,4,5,6,2,1]=>[8,7,1,4,5,6,2,3]=>[3,2,6,5,4,1,7,8]
[[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[1,2,5,6,4,8,7,3]=>[3,7,8,4,6,5,2,1]=>[8,7,1,4,6,5,2,3]=>[3,2,5,6,4,1,7,8]
[[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[1,2,4,6,5,8,7,3]=>[3,7,8,5,6,4,2,1]=>[8,7,1,6,4,5,2,3]=>[3,2,5,4,6,1,7,8]
[[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[1,2,5,4,6,8,7,3]=>[3,7,8,6,4,5,2,1]=>[8,7,1,5,6,4,2,3]=>[3,2,4,6,5,1,7,8]
[[[.,.],.],[[[[.,.],.],.],[.,.]]]=>[1,2,4,5,6,8,7,3]=>[3,7,8,6,5,4,2,1]=>[8,7,1,6,5,4,2,3]=>[3,2,4,5,6,1,7,8]
[[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[1,2,7,6,5,4,8,3]=>[3,8,4,5,6,7,2,1]=>[8,7,1,3,4,5,6,2]=>[2,6,5,4,3,1,7,8]
[[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[1,2,6,7,5,4,8,3]=>[3,8,4,5,7,6,2,1]=>[8,7,1,3,4,6,5,2]=>[2,5,6,4,3,1,7,8]
[[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[1,2,5,7,6,4,8,3]=>[3,8,4,6,7,5,2,1]=>[8,7,1,3,6,4,5,2]=>[2,5,4,6,3,1,7,8]
[[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[1,2,6,5,7,4,8,3]=>[3,8,4,7,5,6,2,1]=>[8,7,1,3,5,6,4,2]=>[2,4,6,5,3,1,7,8]
[[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[1,2,5,6,7,4,8,3]=>[3,8,4,7,6,5,2,1]=>[8,7,1,3,6,5,4,2]=>[2,4,5,6,3,1,7,8]
[[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[1,2,4,7,6,5,8,3]=>[3,8,5,6,7,4,2,1]=>[8,7,1,6,3,4,5,2]=>[2,5,4,3,6,1,7,8]
[[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[1,2,4,6,7,5,8,3]=>[3,8,5,7,6,4,2,1]=>[8,7,1,6,3,5,4,2]=>[2,4,5,3,6,1,7,8]
[[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[1,2,5,4,7,6,8,3]=>[3,8,6,7,4,5,2,1]=>[8,7,1,5,6,3,4,2]=>[2,4,3,6,5,1,7,8]
[[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[1,2,4,5,7,6,8,3]=>[3,8,6,7,5,4,2,1]=>[8,7,1,6,5,3,4,2]=>[2,4,3,5,6,1,7,8]
[[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[1,2,6,5,4,7,8,3]=>[3,8,7,4,5,6,2,1]=>[8,7,1,4,5,6,3,2]=>[2,3,6,5,4,1,7,8]
[[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[1,2,5,6,4,7,8,3]=>[3,8,7,4,6,5,2,1]=>[8,7,1,4,6,5,3,2]=>[2,3,5,6,4,1,7,8]
[[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[1,2,4,6,5,7,8,3]=>[3,8,7,5,6,4,2,1]=>[8,7,1,6,4,5,3,2]=>[2,3,5,4,6,1,7,8]
[[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[1,2,5,4,6,7,8,3]=>[3,8,7,6,4,5,2,1]=>[8,7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7,8]
[[[.,.],.],[[[[[.,.],.],.],.],.]]=>[1,2,4,5,6,7,8,3]=>[3,8,7,6,5,4,2,1]=>[8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8]
[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[6,7,8,1,2,3,4,5]=>[5,4,3,2,1,8,7,6]
[[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[3,2,1,7,8,6,5,4]=>[4,5,6,8,7,1,2,3]=>[6,7,8,1,2,3,5,4]=>[4,5,3,2,1,8,7,6]
[[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[3,2,1,6,8,7,5,4]=>[4,5,7,8,6,1,2,3]=>[6,7,8,1,2,5,3,4]=>[4,3,5,2,1,8,7,6]
[[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[3,2,1,7,6,8,5,4]=>[4,5,8,6,7,1,2,3]=>[6,7,8,1,2,4,5,3]=>[3,5,4,2,1,8,7,6]
[[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[3,2,1,6,7,8,5,4]=>[4,5,8,7,6,1,2,3]=>[6,7,8,1,2,5,4,3]=>[3,4,5,2,1,8,7,6]
[[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[3,2,1,5,8,7,6,4]=>[4,6,7,8,5,1,2,3]=>[6,7,8,1,5,2,3,4]=>[4,3,2,5,1,8,7,6]
[[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[3,2,1,5,7,8,6,4]=>[4,6,8,7,5,1,2,3]=>[6,7,8,1,5,2,4,3]=>[3,4,2,5,1,8,7,6]
[[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[3,2,1,6,5,8,7,4]=>[4,7,8,5,6,1,2,3]=>[6,7,8,1,4,5,2,3]=>[3,2,5,4,1,8,7,6]
[[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[3,2,1,5,6,8,7,4]=>[4,7,8,6,5,1,2,3]=>[6,7,8,1,5,4,2,3]=>[3,2,4,5,1,8,7,6]
[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[3,2,1,7,6,5,8,4]=>[4,8,5,6,7,1,2,3]=>[6,7,8,1,3,4,5,2]=>[2,5,4,3,1,8,7,6]
[[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[3,2,1,6,7,5,8,4]=>[4,8,5,7,6,1,2,3]=>[6,7,8,1,3,5,4,2]=>[2,4,5,3,1,8,7,6]
[[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[3,2,1,5,7,6,8,4]=>[4,8,6,7,5,1,2,3]=>[6,7,8,1,5,3,4,2]=>[2,4,3,5,1,8,7,6]
[[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[3,2,1,6,5,7,8,4]=>[4,8,7,5,6,1,2,3]=>[6,7,8,1,4,5,3,2]=>[2,3,5,4,1,8,7,6]
[[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[3,2,1,5,6,7,8,4]=>[4,8,7,6,5,1,2,3]=>[6,7,8,1,5,4,3,2]=>[2,3,4,5,1,8,7,6]
[[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[2,3,1,8,7,6,5,4]=>[4,5,6,7,8,1,3,2]=>[6,8,7,1,2,3,4,5]=>[5,4,3,2,1,7,8,6]
[[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[2,3,1,7,8,6,5,4]=>[4,5,6,8,7,1,3,2]=>[6,8,7,1,2,3,5,4]=>[4,5,3,2,1,7,8,6]
[[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[2,3,1,6,8,7,5,4]=>[4,5,7,8,6,1,3,2]=>[6,8,7,1,2,5,3,4]=>[4,3,5,2,1,7,8,6]
[[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[2,3,1,7,6,8,5,4]=>[4,5,8,6,7,1,3,2]=>[6,8,7,1,2,4,5,3]=>[3,5,4,2,1,7,8,6]
[[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[2,3,1,6,7,8,5,4]=>[4,5,8,7,6,1,3,2]=>[6,8,7,1,2,5,4,3]=>[3,4,5,2,1,7,8,6]
[[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[2,3,1,5,8,7,6,4]=>[4,6,7,8,5,1,3,2]=>[6,8,7,1,5,2,3,4]=>[4,3,2,5,1,7,8,6]
[[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[2,3,1,5,7,8,6,4]=>[4,6,8,7,5,1,3,2]=>[6,8,7,1,5,2,4,3]=>[3,4,2,5,1,7,8,6]
[[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[2,3,1,6,5,8,7,4]=>[4,7,8,5,6,1,3,2]=>[6,8,7,1,4,5,2,3]=>[3,2,5,4,1,7,8,6]
[[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[2,3,1,5,6,8,7,4]=>[4,7,8,6,5,1,3,2]=>[6,8,7,1,5,4,2,3]=>[3,2,4,5,1,7,8,6]
[[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[2,3,1,7,6,5,8,4]=>[4,8,5,6,7,1,3,2]=>[6,8,7,1,3,4,5,2]=>[2,5,4,3,1,7,8,6]
[[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[2,3,1,6,7,5,8,4]=>[4,8,5,7,6,1,3,2]=>[6,8,7,1,3,5,4,2]=>[2,4,5,3,1,7,8,6]
[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[2,3,1,5,7,6,8,4]=>[4,8,6,7,5,1,3,2]=>[6,8,7,1,5,3,4,2]=>[2,4,3,5,1,7,8,6]
[[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>[2,3,1,6,5,7,8,4]=>[4,8,7,5,6,1,3,2]=>[6,8,7,1,4,5,3,2]=>[2,3,5,4,1,7,8,6]
[[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[2,3,1,5,6,7,8,4]=>[4,8,7,6,5,1,3,2]=>[6,8,7,1,5,4,3,2]=>[2,3,4,5,1,7,8,6]
[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[1,3,2,8,7,6,5,4]=>[4,5,6,7,8,2,3,1]=>[8,6,7,1,2,3,4,5]=>[5,4,3,2,1,7,6,8]
[[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[1,3,2,7,8,6,5,4]=>[4,5,6,8,7,2,3,1]=>[8,6,7,1,2,3,5,4]=>[4,5,3,2,1,7,6,8]
[[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[1,3,2,6,8,7,5,4]=>[4,5,7,8,6,2,3,1]=>[8,6,7,1,2,5,3,4]=>[4,3,5,2,1,7,6,8]
[[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>[1,3,2,7,6,8,5,4]=>[4,5,8,6,7,2,3,1]=>[8,6,7,1,2,4,5,3]=>[3,5,4,2,1,7,6,8]
[[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[1,3,2,6,7,8,5,4]=>[4,5,8,7,6,2,3,1]=>[8,6,7,1,2,5,4,3]=>[3,4,5,2,1,7,6,8]
[[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[1,3,2,5,8,7,6,4]=>[4,6,7,8,5,2,3,1]=>[8,6,7,1,5,2,3,4]=>[4,3,2,5,1,7,6,8]
[[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[1,3,2,5,7,8,6,4]=>[4,6,8,7,5,2,3,1]=>[8,6,7,1,5,2,4,3]=>[3,4,2,5,1,7,6,8]
[[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[1,3,2,6,5,8,7,4]=>[4,7,8,5,6,2,3,1]=>[8,6,7,1,4,5,2,3]=>[3,2,5,4,1,7,6,8]
[[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[1,3,2,5,6,8,7,4]=>[4,7,8,6,5,2,3,1]=>[8,6,7,1,5,4,2,3]=>[3,2,4,5,1,7,6,8]
[[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[1,3,2,7,6,5,8,4]=>[4,8,5,6,7,2,3,1]=>[8,6,7,1,3,4,5,2]=>[2,5,4,3,1,7,6,8]
[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[1,3,2,6,7,5,8,4]=>[4,8,5,7,6,2,3,1]=>[8,6,7,1,3,5,4,2]=>[2,4,5,3,1,7,6,8]
[[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[1,3,2,5,7,6,8,4]=>[4,8,6,7,5,2,3,1]=>[8,6,7,1,5,3,4,2]=>[2,4,3,5,1,7,6,8]
[[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[1,3,2,6,5,7,8,4]=>[4,8,7,5,6,2,3,1]=>[8,6,7,1,4,5,3,2]=>[2,3,5,4,1,7,6,8]
[[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[1,3,2,5,6,7,8,4]=>[4,8,7,6,5,2,3,1]=>[8,6,7,1,5,4,3,2]=>[2,3,4,5,1,7,6,8]
[[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[2,1,3,8,7,6,5,4]=>[4,5,6,7,8,3,1,2]=>[7,8,6,1,2,3,4,5]=>[5,4,3,2,1,6,8,7]
[[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[2,1,3,7,8,6,5,4]=>[4,5,6,8,7,3,1,2]=>[7,8,6,1,2,3,5,4]=>[4,5,3,2,1,6,8,7]
[[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[2,1,3,6,8,7,5,4]=>[4,5,7,8,6,3,1,2]=>[7,8,6,1,2,5,3,4]=>[4,3,5,2,1,6,8,7]
[[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[2,1,3,7,6,8,5,4]=>[4,5,8,6,7,3,1,2]=>[7,8,6,1,2,4,5,3]=>[3,5,4,2,1,6,8,7]
[[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[2,1,3,6,7,8,5,4]=>[4,5,8,7,6,3,1,2]=>[7,8,6,1,2,5,4,3]=>[3,4,5,2,1,6,8,7]
[[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[2,1,3,5,8,7,6,4]=>[4,6,7,8,5,3,1,2]=>[7,8,6,1,5,2,3,4]=>[4,3,2,5,1,6,8,7]
[[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[2,1,3,5,7,8,6,4]=>[4,6,8,7,5,3,1,2]=>[7,8,6,1,5,2,4,3]=>[3,4,2,5,1,6,8,7]
[[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[2,1,3,6,5,8,7,4]=>[4,7,8,5,6,3,1,2]=>[7,8,6,1,4,5,2,3]=>[3,2,5,4,1,6,8,7]
[[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[2,1,3,5,6,8,7,4]=>[4,7,8,6,5,3,1,2]=>[7,8,6,1,5,4,2,3]=>[3,2,4,5,1,6,8,7]
[[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[2,1,3,7,6,5,8,4]=>[4,8,5,6,7,3,1,2]=>[7,8,6,1,3,4,5,2]=>[2,5,4,3,1,6,8,7]
[[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[2,1,3,6,7,5,8,4]=>[4,8,5,7,6,3,1,2]=>[7,8,6,1,3,5,4,2]=>[2,4,5,3,1,6,8,7]
[[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[2,1,3,5,7,6,8,4]=>[4,8,6,7,5,3,1,2]=>[7,8,6,1,5,3,4,2]=>[2,4,3,5,1,6,8,7]
[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[2,1,3,6,5,7,8,4]=>[4,8,7,5,6,3,1,2]=>[7,8,6,1,4,5,3,2]=>[2,3,5,4,1,6,8,7]
[[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[2,1,3,5,6,7,8,4]=>[4,8,7,6,5,3,1,2]=>[7,8,6,1,5,4,3,2]=>[2,3,4,5,1,6,8,7]
[[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,8,7,6,5,4]=>[4,5,6,7,8,3,2,1]=>[8,7,6,1,2,3,4,5]=>[5,4,3,2,1,6,7,8]
[[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[1,2,3,7,8,6,5,4]=>[4,5,6,8,7,3,2,1]=>[8,7,6,1,2,3,5,4]=>[4,5,3,2,1,6,7,8]
[[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[1,2,3,6,8,7,5,4]=>[4,5,7,8,6,3,2,1]=>[8,7,6,1,2,5,3,4]=>[4,3,5,2,1,6,7,8]
[[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[1,2,3,7,6,8,5,4]=>[4,5,8,6,7,3,2,1]=>[8,7,6,1,2,4,5,3]=>[3,5,4,2,1,6,7,8]
[[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[1,2,3,6,7,8,5,4]=>[4,5,8,7,6,3,2,1]=>[8,7,6,1,2,5,4,3]=>[3,4,5,2,1,6,7,8]
[[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[1,2,3,5,8,7,6,4]=>[4,6,7,8,5,3,2,1]=>[8,7,6,1,5,2,3,4]=>[4,3,2,5,1,6,7,8]
[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[1,2,3,5,7,8,6,4]=>[4,6,8,7,5,3,2,1]=>[8,7,6,1,5,2,4,3]=>[3,4,2,5,1,6,7,8]
[[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[1,2,3,6,5,8,7,4]=>[4,7,8,5,6,3,2,1]=>[8,7,6,1,4,5,2,3]=>[3,2,5,4,1,6,7,8]
[[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[1,2,3,5,6,8,7,4]=>[4,7,8,6,5,3,2,1]=>[8,7,6,1,5,4,2,3]=>[3,2,4,5,1,6,7,8]
[[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[1,2,3,7,6,5,8,4]=>[4,8,5,6,7,3,2,1]=>[8,7,6,1,3,4,5,2]=>[2,5,4,3,1,6,7,8]
[[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[1,2,3,6,7,5,8,4]=>[4,8,5,7,6,3,2,1]=>[8,7,6,1,3,5,4,2]=>[2,4,5,3,1,6,7,8]
[[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[1,2,3,5,7,6,8,4]=>[4,8,6,7,5,3,2,1]=>[8,7,6,1,5,3,4,2]=>[2,4,3,5,1,6,7,8]
[[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,6,5,7,8,4]=>[4,8,7,5,6,3,2,1]=>[8,7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7,8]
[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]=>[8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8]
[[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4]=>[4,3,2,1,8,7,6,5]
[[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[4,3,2,1,7,8,6,5]=>[5,6,8,7,1,2,3,4]=>[5,6,7,8,1,2,4,3]=>[3,4,2,1,8,7,6,5]
[[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[4,3,2,1,6,8,7,5]=>[5,7,8,6,1,2,3,4]=>[5,6,7,8,1,4,2,3]=>[3,2,4,1,8,7,6,5]
[[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[4,3,2,1,7,6,8,5]=>[5,8,6,7,1,2,3,4]=>[5,6,7,8,1,3,4,2]=>[2,4,3,1,8,7,6,5]
[[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[4,3,2,1,6,7,8,5]=>[5,8,7,6,1,2,3,4]=>[5,6,7,8,1,4,3,2]=>[2,3,4,1,8,7,6,5]
[[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[3,4,2,1,8,7,6,5]=>[5,6,7,8,1,2,4,3]=>[5,6,8,7,1,2,3,4]=>[4,3,2,1,7,8,6,5]
[[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>[5,6,8,7,1,2,4,3]=>[3,4,2,1,7,8,6,5]
[[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[3,4,2,1,6,8,7,5]=>[5,7,8,6,1,2,4,3]=>[5,6,8,7,1,4,2,3]=>[3,2,4,1,7,8,6,5]
[[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>[3,4,2,1,7,6,8,5]=>[5,8,6,7,1,2,4,3]=>[5,6,8,7,1,3,4,2]=>[2,4,3,1,7,8,6,5]
[[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[3,4,2,1,6,7,8,5]=>[5,8,7,6,1,2,4,3]=>[5,6,8,7,1,4,3,2]=>[2,3,4,1,7,8,6,5]
[[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[2,4,3,1,8,7,6,5]=>[5,6,7,8,1,3,4,2]=>[5,8,6,7,1,2,3,4]=>[4,3,2,1,7,6,8,5]
[[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[2,4,3,1,7,8,6,5]=>[5,6,8,7,1,3,4,2]=>[5,8,6,7,1,2,4,3]=>[3,4,2,1,7,6,8,5]
[[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[5,7,8,6,1,3,4,2]=>[5,8,6,7,1,4,2,3]=>[3,2,4,1,7,6,8,5]
[[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[2,4,3,1,7,6,8,5]=>[5,8,6,7,1,3,4,2]=>[5,8,6,7,1,3,4,2]=>[2,4,3,1,7,6,8,5]
[[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[2,4,3,1,6,7,8,5]=>[5,8,7,6,1,3,4,2]=>[5,8,6,7,1,4,3,2]=>[2,3,4,1,7,6,8,5]
[[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[3,2,4,1,8,7,6,5]=>[5,6,7,8,1,4,2,3]=>[5,7,8,6,1,2,3,4]=>[4,3,2,1,6,8,7,5]
[[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[3,2,4,1,7,8,6,5]=>[5,6,8,7,1,4,2,3]=>[5,7,8,6,1,2,4,3]=>[3,4,2,1,6,8,7,5]
[[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[3,2,4,1,6,8,7,5]=>[5,7,8,6,1,4,2,3]=>[5,7,8,6,1,4,2,3]=>[3,2,4,1,6,8,7,5]
[[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5]=>[5,8,6,7,1,4,2,3]=>[5,7,8,6,1,3,4,2]=>[2,4,3,1,6,8,7,5]
[[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[3,2,4,1,6,7,8,5]=>[5,8,7,6,1,4,2,3]=>[5,7,8,6,1,4,3,2]=>[2,3,4,1,6,8,7,5]
[[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[2,3,4,1,8,7,6,5]=>[5,6,7,8,1,4,3,2]=>[5,8,7,6,1,2,3,4]=>[4,3,2,1,6,7,8,5]
[[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[2,3,4,1,7,8,6,5]=>[5,6,8,7,1,4,3,2]=>[5,8,7,6,1,2,4,3]=>[3,4,2,1,6,7,8,5]
[[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[2,3,4,1,6,8,7,5]=>[5,7,8,6,1,4,3,2]=>[5,8,7,6,1,4,2,3]=>[3,2,4,1,6,7,8,5]
[[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[2,3,4,1,7,6,8,5]=>[5,8,6,7,1,4,3,2]=>[5,8,7,6,1,3,4,2]=>[2,4,3,1,6,7,8,5]
[[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>[5,8,7,6,1,4,3,2]=>[2,3,4,1,6,7,8,5]
[[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[1,4,3,2,8,7,6,5]=>[5,6,7,8,2,3,4,1]=>[8,5,6,7,1,2,3,4]=>[4,3,2,1,7,6,5,8]
[[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[1,4,3,2,7,8,6,5]=>[5,6,8,7,2,3,4,1]=>[8,5,6,7,1,2,4,3]=>[3,4,2,1,7,6,5,8]
[[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[1,4,3,2,6,8,7,5]=>[5,7,8,6,2,3,4,1]=>[8,5,6,7,1,4,2,3]=>[3,2,4,1,7,6,5,8]
[[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[1,4,3,2,7,6,8,5]=>[5,8,6,7,2,3,4,1]=>[8,5,6,7,1,3,4,2]=>[2,4,3,1,7,6,5,8]
[[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[1,4,3,2,6,7,8,5]=>[5,8,7,6,2,3,4,1]=>[8,5,6,7,1,4,3,2]=>[2,3,4,1,7,6,5,8]
[[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[1,3,4,2,8,7,6,5]=>[5,6,7,8,2,4,3,1]=>[8,5,7,6,1,2,3,4]=>[4,3,2,1,6,7,5,8]
[[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[1,3,4,2,7,8,6,5]=>[5,6,8,7,2,4,3,1]=>[8,5,7,6,1,2,4,3]=>[3,4,2,1,6,7,5,8]
[[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[1,3,4,2,6,8,7,5]=>[5,7,8,6,2,4,3,1]=>[8,5,7,6,1,4,2,3]=>[3,2,4,1,6,7,5,8]
[[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[1,3,4,2,7,6,8,5]=>[5,8,6,7,2,4,3,1]=>[8,5,7,6,1,3,4,2]=>[2,4,3,1,6,7,5,8]
[[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[1,3,4,2,6,7,8,5]=>[5,8,7,6,2,4,3,1]=>[8,5,7,6,1,4,3,2]=>[2,3,4,1,6,7,5,8]
[[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[7,8,5,6,1,2,3,4]=>[4,3,2,1,6,5,8,7]
[[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[5,6,8,7,3,4,1,2]=>[7,8,5,6,1,2,4,3]=>[3,4,2,1,6,5,8,7]
[[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]=>[7,8,5,6,1,4,2,3]=>[3,2,4,1,6,5,8,7]
[[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5]=>[5,8,6,7,3,4,1,2]=>[7,8,5,6,1,3,4,2]=>[2,4,3,1,6,5,8,7]
[[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[2,1,4,3,6,7,8,5]=>[5,8,7,6,3,4,1,2]=>[7,8,5,6,1,4,3,2]=>[2,3,4,1,6,5,8,7]
[[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[1,2,4,3,8,7,6,5]=>[5,6,7,8,3,4,2,1]=>[8,7,5,6,1,2,3,4]=>[4,3,2,1,6,5,7,8]
[[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[1,2,4,3,7,8,6,5]=>[5,6,8,7,3,4,2,1]=>[8,7,5,6,1,2,4,3]=>[3,4,2,1,6,5,7,8]
[[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[1,2,4,3,6,8,7,5]=>[5,7,8,6,3,4,2,1]=>[8,7,5,6,1,4,2,3]=>[3,2,4,1,6,5,7,8]
[[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[1,2,4,3,7,6,8,5]=>[5,8,6,7,3,4,2,1]=>[8,7,5,6,1,3,4,2]=>[2,4,3,1,6,5,7,8]
[[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[1,2,4,3,6,7,8,5]=>[5,8,7,6,3,4,2,1]=>[8,7,5,6,1,4,3,2]=>[2,3,4,1,6,5,7,8]
[[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[3,2,1,4,8,7,6,5]=>[5,6,7,8,4,1,2,3]=>[6,7,8,5,1,2,3,4]=>[4,3,2,1,5,8,7,6]
[[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[3,2,1,4,7,8,6,5]=>[5,6,8,7,4,1,2,3]=>[6,7,8,5,1,2,4,3]=>[3,4,2,1,5,8,7,6]
[[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[3,2,1,4,6,8,7,5]=>[5,7,8,6,4,1,2,3]=>[6,7,8,5,1,4,2,3]=>[3,2,4,1,5,8,7,6]
[[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[3,2,1,4,7,6,8,5]=>[5,8,6,7,4,1,2,3]=>[6,7,8,5,1,3,4,2]=>[2,4,3,1,5,8,7,6]
[[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[3,2,1,4,6,7,8,5]=>[5,8,7,6,4,1,2,3]=>[6,7,8,5,1,4,3,2]=>[2,3,4,1,5,8,7,6]
[[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[2,3,1,4,8,7,6,5]=>[5,6,7,8,4,1,3,2]=>[6,8,7,5,1,2,3,4]=>[4,3,2,1,5,7,8,6]
[[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[2,3,1,4,7,8,6,5]=>[5,6,8,7,4,1,3,2]=>[6,8,7,5,1,2,4,3]=>[3,4,2,1,5,7,8,6]
[[[.,[[.,.],.]],.],[[.,.],[.,.]]]=>[2,3,1,4,6,8,7,5]=>[5,7,8,6,4,1,3,2]=>[6,8,7,5,1,4,2,3]=>[3,2,4,1,5,7,8,6]
[[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[2,3,1,4,7,6,8,5]=>[5,8,6,7,4,1,3,2]=>[6,8,7,5,1,3,4,2]=>[2,4,3,1,5,7,8,6]
[[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[2,3,1,4,6,7,8,5]=>[5,8,7,6,4,1,3,2]=>[6,8,7,5,1,4,3,2]=>[2,3,4,1,5,7,8,6]
[[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[1,3,2,4,8,7,6,5]=>[5,6,7,8,4,2,3,1]=>[8,6,7,5,1,2,3,4]=>[4,3,2,1,5,7,6,8]
[[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[1,3,2,4,7,8,6,5]=>[5,6,8,7,4,2,3,1]=>[8,6,7,5,1,2,4,3]=>[3,4,2,1,5,7,6,8]
[[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[1,3,2,4,6,8,7,5]=>[5,7,8,6,4,2,3,1]=>[8,6,7,5,1,4,2,3]=>[3,2,4,1,5,7,6,8]
[[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[1,3,2,4,7,6,8,5]=>[5,8,6,7,4,2,3,1]=>[8,6,7,5,1,3,4,2]=>[2,4,3,1,5,7,6,8]
[[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[1,3,2,4,6,7,8,5]=>[5,8,7,6,4,2,3,1]=>[8,6,7,5,1,4,3,2]=>[2,3,4,1,5,7,6,8]
[[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[2,1,3,4,8,7,6,5]=>[5,6,7,8,4,3,1,2]=>[7,8,6,5,1,2,3,4]=>[4,3,2,1,5,6,8,7]
[[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[2,1,3,4,7,8,6,5]=>[5,6,8,7,4,3,1,2]=>[7,8,6,5,1,2,4,3]=>[3,4,2,1,5,6,8,7]
[[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[2,1,3,4,6,8,7,5]=>[5,7,8,6,4,3,1,2]=>[7,8,6,5,1,4,2,3]=>[3,2,4,1,5,6,8,7]
[[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[2,1,3,4,7,6,8,5]=>[5,8,6,7,4,3,1,2]=>[7,8,6,5,1,3,4,2]=>[2,4,3,1,5,6,8,7]
[[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[2,1,3,4,6,7,8,5]=>[5,8,7,6,4,3,1,2]=>[7,8,6,5,1,4,3,2]=>[2,3,4,1,5,6,8,7]
[[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[8,7,6,5,1,2,3,4]=>[4,3,2,1,5,6,7,8]
[[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[1,2,3,4,7,8,6,5]=>[5,6,8,7,4,3,2,1]=>[8,7,6,5,1,2,4,3]=>[3,4,2,1,5,6,7,8]
[[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[1,2,3,4,6,8,7,5]=>[5,7,8,6,4,3,2,1]=>[8,7,6,5,1,4,2,3]=>[3,2,4,1,5,6,7,8]
[[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,7,6,8,5]=>[5,8,6,7,4,3,2,1]=>[8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8]
[[[[[.,.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,6,7,8,5]=>[5,8,7,6,4,3,2,1]=>[8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[4,5,6,7,8,1,2,3]=>[3,2,1,8,7,6,5,4]
[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[5,4,3,2,1,7,8,6]=>[6,8,7,1,2,3,4,5]=>[4,5,6,7,8,1,3,2]=>[2,3,1,8,7,6,5,4]
[[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[4,5,3,2,1,8,7,6]=>[6,7,8,1,2,3,5,4]=>[4,5,6,8,7,1,2,3]=>[3,2,1,7,8,6,5,4]
[[.,[.,[.,[[.,.],.]]]],[[.,.],.]]=>[4,5,3,2,1,7,8,6]=>[6,8,7,1,2,3,5,4]=>[4,5,6,8,7,1,3,2]=>[2,3,1,7,8,6,5,4]
[[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[3,5,4,2,1,8,7,6]=>[6,7,8,1,2,4,5,3]=>[4,5,8,6,7,1,2,3]=>[3,2,1,7,6,8,5,4]
[[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[3,5,4,2,1,7,8,6]=>[6,8,7,1,2,4,5,3]=>[4,5,8,6,7,1,3,2]=>[2,3,1,7,6,8,5,4]
[[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[4,3,5,2,1,8,7,6]=>[6,7,8,1,2,5,3,4]=>[4,5,7,8,6,1,2,3]=>[3,2,1,6,8,7,5,4]
[[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[4,3,5,2,1,7,8,6]=>[6,8,7,1,2,5,3,4]=>[4,5,7,8,6,1,3,2]=>[2,3,1,6,8,7,5,4]
[[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[3,4,5,2,1,8,7,6]=>[6,7,8,1,2,5,4,3]=>[4,5,8,7,6,1,2,3]=>[3,2,1,6,7,8,5,4]
[[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[3,4,5,2,1,7,8,6]=>[6,8,7,1,2,5,4,3]=>[4,5,8,7,6,1,3,2]=>[2,3,1,6,7,8,5,4]
[[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[2,5,4,3,1,8,7,6]=>[6,7,8,1,3,4,5,2]=>[4,8,5,6,7,1,2,3]=>[3,2,1,7,6,5,8,4]
[[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>[2,5,4,3,1,7,8,6]=>[6,8,7,1,3,4,5,2]=>[4,8,5,6,7,1,3,2]=>[2,3,1,7,6,5,8,4]
[[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[2,4,5,3,1,8,7,6]=>[6,7,8,1,3,5,4,2]=>[4,8,5,7,6,1,2,3]=>[3,2,1,6,7,5,8,4]
[[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[2,4,5,3,1,7,8,6]=>[6,8,7,1,3,5,4,2]=>[4,8,5,7,6,1,3,2]=>[2,3,1,6,7,5,8,4]
[[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[6,7,8,1,4,5,2,3]=>[4,7,8,5,6,1,2,3]=>[3,2,1,6,5,8,7,4]
[[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[3,2,5,4,1,7,8,6]=>[6,8,7,1,4,5,2,3]=>[4,7,8,5,6,1,3,2]=>[2,3,1,6,5,8,7,4]
[[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[2,3,5,4,1,8,7,6]=>[6,7,8,1,4,5,3,2]=>[4,8,7,5,6,1,2,3]=>[3,2,1,6,5,7,8,4]
[[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[2,3,5,4,1,7,8,6]=>[6,8,7,1,4,5,3,2]=>[4,8,7,5,6,1,3,2]=>[2,3,1,6,5,7,8,4]
[[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[4,3,2,5,1,8,7,6]=>[6,7,8,1,5,2,3,4]=>[4,6,7,8,5,1,2,3]=>[3,2,1,5,8,7,6,4]
[[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[4,3,2,5,1,7,8,6]=>[6,8,7,1,5,2,3,4]=>[4,6,7,8,5,1,3,2]=>[2,3,1,5,8,7,6,4]
[[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[3,4,2,5,1,8,7,6]=>[6,7,8,1,5,2,4,3]=>[4,6,8,7,5,1,2,3]=>[3,2,1,5,7,8,6,4]
[[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[3,4,2,5,1,7,8,6]=>[6,8,7,1,5,2,4,3]=>[4,6,8,7,5,1,3,2]=>[2,3,1,5,7,8,6,4]
[[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[2,4,3,5,1,8,7,6]=>[6,7,8,1,5,3,4,2]=>[4,8,6,7,5,1,2,3]=>[3,2,1,5,7,6,8,4]
[[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>[2,4,3,5,1,7,8,6]=>[6,8,7,1,5,3,4,2]=>[4,8,6,7,5,1,3,2]=>[2,3,1,5,7,6,8,4]
[[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>[3,2,4,5,1,8,7,6]=>[6,7,8,1,5,4,2,3]=>[4,7,8,6,5,1,2,3]=>[3,2,1,5,6,8,7,4]
[[.,[[[.,[.,.]],.],.]],[[.,.],.]]=>[3,2,4,5,1,7,8,6]=>[6,8,7,1,5,4,2,3]=>[4,7,8,6,5,1,3,2]=>[2,3,1,5,6,8,7,4]
[[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[2,3,4,5,1,8,7,6]=>[6,7,8,1,5,4,3,2]=>[4,8,7,6,5,1,2,3]=>[3,2,1,5,6,7,8,4]
[[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[2,3,4,5,1,7,8,6]=>[6,8,7,1,5,4,3,2]=>[4,8,7,6,5,1,3,2]=>[2,3,1,5,6,7,8,4]
[[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[1,5,4,3,2,8,7,6]=>[6,7,8,2,3,4,5,1]=>[8,4,5,6,7,1,2,3]=>[3,2,1,7,6,5,4,8]
[[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[1,5,4,3,2,7,8,6]=>[6,8,7,2,3,4,5,1]=>[8,4,5,6,7,1,3,2]=>[2,3,1,7,6,5,4,8]
[[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[1,4,5,3,2,8,7,6]=>[6,7,8,2,3,5,4,1]=>[8,4,5,7,6,1,2,3]=>[3,2,1,6,7,5,4,8]
[[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[1,4,5,3,2,7,8,6]=>[6,8,7,2,3,5,4,1]=>[8,4,5,7,6,1,3,2]=>[2,3,1,6,7,5,4,8]
[[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[1,3,5,4,2,8,7,6]=>[6,7,8,2,4,5,3,1]=>[8,4,7,5,6,1,2,3]=>[3,2,1,6,5,7,4,8]
[[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[1,3,5,4,2,7,8,6]=>[6,8,7,2,4,5,3,1]=>[8,4,7,5,6,1,3,2]=>[2,3,1,6,5,7,4,8]
[[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[1,4,3,5,2,8,7,6]=>[6,7,8,2,5,3,4,1]=>[8,4,6,7,5,1,2,3]=>[3,2,1,5,7,6,4,8]
[[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[1,4,3,5,2,7,8,6]=>[6,8,7,2,5,3,4,1]=>[8,4,6,7,5,1,3,2]=>[2,3,1,5,7,6,4,8]
[[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[1,3,4,5,2,8,7,6]=>[6,7,8,2,5,4,3,1]=>[8,4,7,6,5,1,2,3]=>[3,2,1,5,6,7,4,8]
[[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[1,3,4,5,2,7,8,6]=>[6,8,7,2,5,4,3,1]=>[8,4,7,6,5,1,3,2]=>[2,3,1,5,6,7,4,8]
[[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[2,1,5,4,3,8,7,6]=>[6,7,8,3,4,5,1,2]=>[7,8,4,5,6,1,2,3]=>[3,2,1,6,5,4,8,7]
[[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[2,1,5,4,3,7,8,6]=>[6,8,7,3,4,5,1,2]=>[7,8,4,5,6,1,3,2]=>[2,3,1,6,5,4,8,7]
[[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[2,1,4,5,3,8,7,6]=>[6,7,8,3,5,4,1,2]=>[7,8,4,6,5,1,2,3]=>[3,2,1,5,6,4,8,7]
[[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[2,1,4,5,3,7,8,6]=>[6,8,7,3,5,4,1,2]=>[7,8,4,6,5,1,3,2]=>[2,3,1,5,6,4,8,7]
[[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[1,2,5,4,3,8,7,6]=>[6,7,8,3,4,5,2,1]=>[8,7,4,5,6,1,2,3]=>[3,2,1,6,5,4,7,8]
[[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[1,2,5,4,3,7,8,6]=>[6,8,7,3,4,5,2,1]=>[8,7,4,5,6,1,3,2]=>[2,3,1,6,5,4,7,8]
[[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[1,2,4,5,3,8,7,6]=>[6,7,8,3,5,4,2,1]=>[8,7,4,6,5,1,2,3]=>[3,2,1,5,6,4,7,8]
[[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[1,2,4,5,3,7,8,6]=>[6,8,7,3,5,4,2,1]=>[8,7,4,6,5,1,3,2]=>[2,3,1,5,6,4,7,8]
[[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[3,2,1,5,4,8,7,6]=>[6,7,8,4,5,1,2,3]=>[6,7,8,4,5,1,2,3]=>[3,2,1,5,4,8,7,6]
[[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[3,2,1,5,4,7,8,6]=>[6,8,7,4,5,1,2,3]=>[6,7,8,4,5,1,3,2]=>[2,3,1,5,4,8,7,6]
[[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[2,3,1,5,4,8,7,6]=>[6,7,8,4,5,1,3,2]=>[6,8,7,4,5,1,2,3]=>[3,2,1,5,4,7,8,6]
[[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[2,3,1,5,4,7,8,6]=>[6,8,7,4,5,1,3,2]=>[6,8,7,4,5,1,3,2]=>[2,3,1,5,4,7,8,6]
[[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[1,3,2,5,4,8,7,6]=>[6,7,8,4,5,2,3,1]=>[8,6,7,4,5,1,2,3]=>[3,2,1,5,4,7,6,8]
[[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[1,3,2,5,4,7,8,6]=>[6,8,7,4,5,2,3,1]=>[8,6,7,4,5,1,3,2]=>[2,3,1,5,4,7,6,8]
[[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[2,1,3,5,4,8,7,6]=>[6,7,8,4,5,3,1,2]=>[7,8,6,4,5,1,2,3]=>[3,2,1,5,4,6,8,7]
[[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[2,1,3,5,4,7,8,6]=>[6,8,7,4,5,3,1,2]=>[7,8,6,4,5,1,3,2]=>[2,3,1,5,4,6,8,7]
[[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[1,2,3,5,4,8,7,6]=>[6,7,8,4,5,3,2,1]=>[8,7,6,4,5,1,2,3]=>[3,2,1,5,4,6,7,8]
[[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[1,2,3,5,4,7,8,6]=>[6,8,7,4,5,3,2,1]=>[8,7,6,4,5,1,3,2]=>[2,3,1,5,4,6,7,8]
[[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[4,3,2,1,5,8,7,6]=>[6,7,8,5,1,2,3,4]=>[5,6,7,8,4,1,2,3]=>[3,2,1,4,8,7,6,5]
[[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[4,3,2,1,5,7,8,6]=>[6,8,7,5,1,2,3,4]=>[5,6,7,8,4,1,3,2]=>[2,3,1,4,8,7,6,5]
[[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[3,4,2,1,5,8,7,6]=>[6,7,8,5,1,2,4,3]=>[5,6,8,7,4,1,2,3]=>[3,2,1,4,7,8,6,5]
[[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[3,4,2,1,5,7,8,6]=>[6,8,7,5,1,2,4,3]=>[5,6,8,7,4,1,3,2]=>[2,3,1,4,7,8,6,5]
[[[.,[[.,.],[.,.]]],.],[.,[.,.]]]=>[2,4,3,1,5,8,7,6]=>[6,7,8,5,1,3,4,2]=>[5,8,6,7,4,1,2,3]=>[3,2,1,4,7,6,8,5]
[[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[2,4,3,1,5,7,8,6]=>[6,8,7,5,1,3,4,2]=>[5,8,6,7,4,1,3,2]=>[2,3,1,4,7,6,8,5]
[[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[3,2,4,1,5,8,7,6]=>[6,7,8,5,1,4,2,3]=>[5,7,8,6,4,1,2,3]=>[3,2,1,4,6,8,7,5]
[[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[3,2,4,1,5,7,8,6]=>[6,8,7,5,1,4,2,3]=>[5,7,8,6,4,1,3,2]=>[2,3,1,4,6,8,7,5]
[[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[2,3,4,1,5,8,7,6]=>[6,7,8,5,1,4,3,2]=>[5,8,7,6,4,1,2,3]=>[3,2,1,4,6,7,8,5]
[[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[2,3,4,1,5,7,8,6]=>[6,8,7,5,1,4,3,2]=>[5,8,7,6,4,1,3,2]=>[2,3,1,4,6,7,8,5]
[[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[1,4,3,2,5,8,7,6]=>[6,7,8,5,2,3,4,1]=>[8,5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5,8]
[[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[1,4,3,2,5,7,8,6]=>[6,8,7,5,2,3,4,1]=>[8,5,6,7,4,1,3,2]=>[2,3,1,4,7,6,5,8]
[[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[1,3,4,2,5,7,8,6]=>[6,8,7,5,2,4,3,1]=>[8,5,7,6,4,1,3,2]=>[2,3,1,4,6,7,5,8]
[[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[2,1,4,3,5,8,7,6]=>[6,7,8,5,3,4,1,2]=>[7,8,5,6,4,1,2,3]=>[3,2,1,4,6,5,8,7]
[[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[2,1,4,3,5,7,8,6]=>[6,8,7,5,3,4,1,2]=>[7,8,5,6,4,1,3,2]=>[2,3,1,4,6,5,8,7]
[[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[1,2,4,3,5,8,7,6]=>[6,7,8,5,3,4,2,1]=>[8,7,5,6,4,1,2,3]=>[3,2,1,4,6,5,7,8]
[[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[1,2,4,3,5,7,8,6]=>[6,8,7,5,3,4,2,1]=>[8,7,5,6,4,1,3,2]=>[2,3,1,4,6,5,7,8]
[[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[6,7,8,5,4,1,2,3]=>[3,2,1,4,5,8,7,6]
[[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[3,2,1,4,5,7,8,6]=>[6,8,7,5,4,1,2,3]=>[6,7,8,5,4,1,3,2]=>[2,3,1,4,5,8,7,6]
[[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>[2,3,1,4,5,8,7,6]=>[6,7,8,5,4,1,3,2]=>[6,8,7,5,4,1,2,3]=>[3,2,1,4,5,7,8,6]
[[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>[6,8,7,5,4,1,3,2]=>[2,3,1,4,5,7,8,6]
[[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[1,3,2,4,5,8,7,6]=>[6,7,8,5,4,2,3,1]=>[8,6,7,5,4,1,2,3]=>[3,2,1,4,5,7,6,8]
[[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[1,3,2,4,5,7,8,6]=>[6,8,7,5,4,2,3,1]=>[8,6,7,5,4,1,3,2]=>[2,3,1,4,5,7,6,8]
[[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[2,1,3,4,5,8,7,6]=>[6,7,8,5,4,3,1,2]=>[7,8,6,5,4,1,2,3]=>[3,2,1,4,5,6,8,7]
[[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[2,1,3,4,5,7,8,6]=>[6,8,7,5,4,3,1,2]=>[7,8,6,5,4,1,3,2]=>[2,3,1,4,5,6,8,7]
[[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,1,2,3]=>[3,2,1,4,5,6,7,8]
[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,1]=>[8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3]
[[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[5,6,4,3,2,1,8,7]=>[7,8,1,2,3,4,6,5]=>[3,4,5,6,8,7,1,2]=>[2,1,7,8,6,5,4,3]
[[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[4,6,5,3,2,1,8,7]=>[7,8,1,2,3,5,6,4]=>[3,4,5,8,6,7,1,2]=>[2,1,7,6,8,5,4,3]
[[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[5,4,6,3,2,1,8,7]=>[7,8,1,2,3,6,4,5]=>[3,4,5,7,8,6,1,2]=>[2,1,6,8,7,5,4,3]
[[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[7,8,1,2,3,6,5,4]=>[3,4,5,8,7,6,1,2]=>[2,1,6,7,8,5,4,3]
[[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[3,6,5,4,2,1,8,7]=>[7,8,1,2,4,5,6,3]=>[3,4,8,5,6,7,1,2]=>[2,1,7,6,5,8,4,3]
[[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[3,5,6,4,2,1,8,7]=>[7,8,1,2,4,6,5,3]=>[3,4,8,5,7,6,1,2]=>[2,1,6,7,5,8,4,3]
[[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[4,3,6,5,2,1,8,7]=>[7,8,1,2,5,6,3,4]=>[3,4,7,8,5,6,1,2]=>[2,1,6,5,8,7,4,3]
[[.,[.,[[[.,.],.],[.,.]]]],[.,.]]=>[3,4,6,5,2,1,8,7]=>[7,8,1,2,5,6,4,3]=>[3,4,8,7,5,6,1,2]=>[2,1,6,5,7,8,4,3]
[[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[5,4,3,6,2,1,8,7]=>[7,8,1,2,6,3,4,5]=>[3,4,6,7,8,5,1,2]=>[2,1,5,8,7,6,4,3]
[[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[4,5,3,6,2,1,8,7]=>[7,8,1,2,6,3,5,4]=>[3,4,6,8,7,5,1,2]=>[2,1,5,7,8,6,4,3]
[[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>[3,5,4,6,2,1,8,7]=>[7,8,1,2,6,4,5,3]=>[3,4,8,6,7,5,1,2]=>[2,1,5,7,6,8,4,3]
[[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>[4,3,5,6,2,1,8,7]=>[7,8,1,2,6,5,3,4]=>[3,4,7,8,6,5,1,2]=>[2,1,5,6,8,7,4,3]
[[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[3,4,5,6,2,1,8,7]=>[7,8,1,2,6,5,4,3]=>[3,4,8,7,6,5,1,2]=>[2,1,5,6,7,8,4,3]
[[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[2,6,5,4,3,1,8,7]=>[7,8,1,3,4,5,6,2]=>[3,8,4,5,6,7,1,2]=>[2,1,7,6,5,4,8,3]
[[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[2,5,6,4,3,1,8,7]=>[7,8,1,3,4,6,5,2]=>[3,8,4,5,7,6,1,2]=>[2,1,6,7,5,4,8,3]
[[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[2,4,6,5,3,1,8,7]=>[7,8,1,3,5,6,4,2]=>[3,8,4,7,5,6,1,2]=>[2,1,6,5,7,4,8,3]
[[.,[[.,.],[[.,[.,.]],.]]],[.,.]]=>[2,5,4,6,3,1,8,7]=>[7,8,1,3,6,4,5,2]=>[3,8,4,6,7,5,1,2]=>[2,1,5,7,6,4,8,3]
[[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>[2,4,5,6,3,1,8,7]=>[7,8,1,3,6,5,4,2]=>[3,8,4,7,6,5,1,2]=>[2,1,5,6,7,4,8,3]
[[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[3,2,6,5,4,1,8,7]=>[7,8,1,4,5,6,2,3]=>[3,7,8,4,5,6,1,2]=>[2,1,6,5,4,8,7,3]
[[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[3,2,5,6,4,1,8,7]=>[7,8,1,4,6,5,2,3]=>[3,7,8,4,6,5,1,2]=>[2,1,5,6,4,8,7,3]
[[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[2,3,6,5,4,1,8,7]=>[7,8,1,4,5,6,3,2]=>[3,8,7,4,5,6,1,2]=>[2,1,6,5,4,7,8,3]
[[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[2,3,5,6,4,1,8,7]=>[7,8,1,4,6,5,3,2]=>[3,8,7,4,6,5,1,2]=>[2,1,5,6,4,7,8,3]
[[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[4,3,2,6,5,1,8,7]=>[7,8,1,5,6,2,3,4]=>[3,6,7,8,4,5,1,2]=>[2,1,5,4,8,7,6,3]
[[.,[[.,[[.,.],.]],[.,.]]],[.,.]]=>[3,4,2,6,5,1,8,7]=>[7,8,1,5,6,2,4,3]=>[3,6,8,7,4,5,1,2]=>[2,1,5,4,7,8,6,3]
[[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[2,4,3,6,5,1,8,7]=>[7,8,1,5,6,3,4,2]=>[3,8,6,7,4,5,1,2]=>[2,1,5,4,7,6,8,3]
[[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[3,2,4,6,5,1,8,7]=>[7,8,1,5,6,4,2,3]=>[3,7,8,6,4,5,1,2]=>[2,1,5,4,6,8,7,3]
[[.,[[[[.,.],.],.],[.,.]]],[.,.]]=>[2,3,4,6,5,1,8,7]=>[7,8,1,5,6,4,3,2]=>[3,8,7,6,4,5,1,2]=>[2,1,5,4,6,7,8,3]
[[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[5,4,3,2,6,1,8,7]=>[7,8,1,6,2,3,4,5]=>[3,5,6,7,8,4,1,2]=>[2,1,4,8,7,6,5,3]
[[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[4,5,3,2,6,1,8,7]=>[7,8,1,6,2,3,5,4]=>[3,5,6,8,7,4,1,2]=>[2,1,4,7,8,6,5,3]
[[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>[3,5,4,2,6,1,8,7]=>[7,8,1,6,2,4,5,3]=>[3,5,8,6,7,4,1,2]=>[2,1,4,7,6,8,5,3]
[[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[4,3,5,2,6,1,8,7]=>[7,8,1,6,2,5,3,4]=>[3,5,7,8,6,4,1,2]=>[2,1,4,6,8,7,5,3]
[[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[3,4,5,2,6,1,8,7]=>[7,8,1,6,2,5,4,3]=>[3,5,8,7,6,4,1,2]=>[2,1,4,6,7,8,5,3]
[[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>[2,5,4,3,6,1,8,7]=>[7,8,1,6,3,4,5,2]=>[3,8,5,6,7,4,1,2]=>[2,1,4,7,6,5,8,3]
[[.,[[[.,.],[[.,.],.]],.]],[.,.]]=>[2,4,5,3,6,1,8,7]=>[7,8,1,6,3,5,4,2]=>[3,8,5,7,6,4,1,2]=>[2,1,4,6,7,5,8,3]
[[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[3,2,5,4,6,1,8,7]=>[7,8,1,6,4,5,2,3]=>[3,7,8,5,6,4,1,2]=>[2,1,4,6,5,8,7,3]
[[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>[2,3,5,4,6,1,8,7]=>[7,8,1,6,4,5,3,2]=>[3,8,7,5,6,4,1,2]=>[2,1,4,6,5,7,8,3]
[[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[4,3,2,5,6,1,8,7]=>[7,8,1,6,5,2,3,4]=>[3,6,7,8,5,4,1,2]=>[2,1,4,5,8,7,6,3]
[[.,[[[.,[[.,.],.]],.],.]],[.,.]]=>[3,4,2,5,6,1,8,7]=>[7,8,1,6,5,2,4,3]=>[3,6,8,7,5,4,1,2]=>[2,1,4,5,7,8,6,3]
[[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>[2,4,3,5,6,1,8,7]=>[7,8,1,6,5,3,4,2]=>[3,8,6,7,5,4,1,2]=>[2,1,4,5,7,6,8,3]
[[.,[[[[.,[.,.]],.],.],.]],[.,.]]=>[3,2,4,5,6,1,8,7]=>[7,8,1,6,5,4,2,3]=>[3,7,8,6,5,4,1,2]=>[2,1,4,5,6,8,7,3]
[[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2]=>[3,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,3]
[[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[1,6,5,4,3,2,8,7]=>[7,8,2,3,4,5,6,1]=>[8,3,4,5,6,7,1,2]=>[2,1,7,6,5,4,3,8]
[[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>[1,5,6,4,3,2,8,7]=>[7,8,2,3,4,6,5,1]=>[8,3,4,5,7,6,1,2]=>[2,1,6,7,5,4,3,8]
[[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[1,4,6,5,3,2,8,7]=>[7,8,2,3,5,6,4,1]=>[8,3,4,7,5,6,1,2]=>[2,1,6,5,7,4,3,8]
[[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>[1,5,4,6,3,2,8,7]=>[7,8,2,3,6,4,5,1]=>[8,3,4,6,7,5,1,2]=>[2,1,5,7,6,4,3,8]
[[[.,.],[.,[[[.,.],.],.]]],[.,.]]=>[1,4,5,6,3,2,8,7]=>[7,8,2,3,6,5,4,1]=>[8,3,4,7,6,5,1,2]=>[2,1,5,6,7,4,3,8]
[[[.,.],[[.,.],[.,[.,.]]]],[.,.]]=>[1,3,6,5,4,2,8,7]=>[7,8,2,4,5,6,3,1]=>[8,3,7,4,5,6,1,2]=>[2,1,6,5,4,7,3,8]
[[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[1,3,5,6,4,2,8,7]=>[7,8,2,4,6,5,3,1]=>[8,3,7,4,6,5,1,2]=>[2,1,5,6,4,7,3,8]
[[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[1,3,4,6,5,2,8,7]=>[7,8,2,5,6,4,3,1]=>[8,3,7,6,4,5,1,2]=>[2,1,5,4,6,7,3,8]
[[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[1,4,5,3,6,2,8,7]=>[7,8,2,6,3,5,4,1]=>[8,3,5,7,6,4,1,2]=>[2,1,4,6,7,5,3,8]
[[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>[1,3,5,4,6,2,8,7]=>[7,8,2,6,4,5,3,1]=>[8,3,7,5,6,4,1,2]=>[2,1,4,6,5,7,3,8]
[[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[1,4,3,5,6,2,8,7]=>[7,8,2,6,5,3,4,1]=>[8,3,6,7,5,4,1,2]=>[2,1,4,5,7,6,3,8]
[[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[1,3,4,5,6,2,8,7]=>[7,8,2,6,5,4,3,1]=>[8,3,7,6,5,4,1,2]=>[2,1,4,5,6,7,3,8]
[[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[7,8,3,4,5,6,1,2]=>[2,1,6,5,4,3,8,7]
[[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[2,1,5,6,4,3,8,7]=>[7,8,3,4,6,5,1,2]=>[7,8,3,4,6,5,1,2]=>[2,1,5,6,4,3,8,7]
[[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,6,5,3,8,7]=>[7,8,3,5,6,4,1,2]=>[7,8,3,6,4,5,1,2]=>[2,1,5,4,6,3,8,7]
[[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[2,1,5,4,6,3,8,7]=>[7,8,3,6,4,5,1,2]=>[7,8,3,5,6,4,1,2]=>[2,1,4,6,5,3,8,7]
[[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[2,1,4,5,6,3,8,7]=>[7,8,3,6,5,4,1,2]=>[7,8,3,6,5,4,1,2]=>[2,1,4,5,6,3,8,7]
[[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[1,2,6,5,4,3,8,7]=>[7,8,3,4,5,6,2,1]=>[8,7,3,4,5,6,1,2]=>[2,1,6,5,4,3,7,8]
[[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[1,2,5,6,4,3,8,7]=>[7,8,3,4,6,5,2,1]=>[8,7,3,4,6,5,1,2]=>[2,1,5,6,4,3,7,8]
[[[[.,.],.],[[.,.],[.,.]]],[.,.]]=>[1,2,4,6,5,3,8,7]=>[7,8,3,5,6,4,2,1]=>[8,7,3,6,4,5,1,2]=>[2,1,5,4,6,3,7,8]
[[[[.,.],.],[[.,[.,.]],.]],[.,.]]=>[1,2,5,4,6,3,8,7]=>[7,8,3,6,4,5,2,1]=>[8,7,3,5,6,4,1,2]=>[2,1,4,6,5,3,7,8]
[[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[1,2,4,5,6,3,8,7]=>[7,8,3,6,5,4,2,1]=>[8,7,3,6,5,4,1,2]=>[2,1,4,5,6,3,7,8]
[[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[3,2,1,6,5,4,8,7]=>[7,8,4,5,6,1,2,3]=>[6,7,8,3,4,5,1,2]=>[2,1,5,4,3,8,7,6]
[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[2,3,1,6,5,4,8,7]=>[7,8,4,5,6,1,3,2]=>[6,8,7,3,4,5,1,2]=>[2,1,5,4,3,7,8,6]
[[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[2,3,1,5,6,4,8,7]=>[7,8,4,6,5,1,3,2]=>[6,8,7,3,5,4,1,2]=>[2,1,4,5,3,7,8,6]
[[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[1,3,2,6,5,4,8,7]=>[7,8,4,5,6,2,3,1]=>[8,6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6,8]
[[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[1,3,2,5,6,4,8,7]=>[7,8,4,6,5,2,3,1]=>[8,6,7,3,5,4,1,2]=>[2,1,4,5,3,7,6,8]
[[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[2,1,3,6,5,4,8,7]=>[7,8,4,5,6,3,1,2]=>[7,8,6,3,4,5,1,2]=>[2,1,5,4,3,6,8,7]
[[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[2,1,3,5,6,4,8,7]=>[7,8,4,6,5,3,1,2]=>[7,8,6,3,5,4,1,2]=>[2,1,4,5,3,6,8,7]
[[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[1,2,3,6,5,4,8,7]=>[7,8,4,5,6,3,2,1]=>[8,7,6,3,4,5,1,2]=>[2,1,5,4,3,6,7,8]
[[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[1,2,3,5,6,4,8,7]=>[7,8,4,6,5,3,2,1]=>[8,7,6,3,5,4,1,2]=>[2,1,4,5,3,6,7,8]
[[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[5,6,7,8,3,4,1,2]=>[2,1,4,3,8,7,6,5]
[[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[7,8,5,6,1,2,4,3]=>[5,6,8,7,3,4,1,2]=>[2,1,4,3,7,8,6,5]
[[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7]=>[7,8,5,6,1,3,4,2]=>[5,8,6,7,3,4,1,2]=>[2,1,4,3,7,6,8,5]
[[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7]=>[7,8,5,6,1,4,2,3]=>[5,7,8,6,3,4,1,2]=>[2,1,4,3,6,8,7,5]
[[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[2,3,4,1,6,5,8,7]=>[7,8,5,6,1,4,3,2]=>[5,8,7,6,3,4,1,2]=>[2,1,4,3,6,7,8,5]
[[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[1,4,3,2,6,5,8,7]=>[7,8,5,6,2,3,4,1]=>[8,5,6,7,3,4,1,2]=>[2,1,4,3,7,6,5,8]
[[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[1,3,4,2,6,5,8,7]=>[7,8,5,6,2,4,3,1]=>[8,5,7,6,3,4,1,2]=>[2,1,4,3,6,7,5,8]
[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7]
[[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[1,2,4,3,6,5,8,7]=>[7,8,5,6,3,4,2,1]=>[8,7,5,6,3,4,1,2]=>[2,1,4,3,6,5,7,8]
[[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[3,2,1,4,6,5,8,7]=>[7,8,5,6,4,1,2,3]=>[6,7,8,5,3,4,1,2]=>[2,1,4,3,5,8,7,6]
[[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[2,3,1,4,6,5,8,7]=>[7,8,5,6,4,1,3,2]=>[6,8,7,5,3,4,1,2]=>[2,1,4,3,5,7,8,6]
[[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[1,3,2,4,6,5,8,7]=>[7,8,5,6,4,2,3,1]=>[8,6,7,5,3,4,1,2]=>[2,1,4,3,5,7,6,8]
[[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[2,1,3,4,6,5,8,7]=>[7,8,5,6,4,3,1,2]=>[7,8,6,5,3,4,1,2]=>[2,1,4,3,5,6,8,7]
[[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,6,5,8,7]=>[7,8,5,6,4,3,2,1]=>[8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8]
[[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[5,4,3,2,1,6,8,7]=>[7,8,6,1,2,3,4,5]=>[4,5,6,7,8,3,1,2]=>[2,1,3,8,7,6,5,4]
[[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[4,5,3,2,1,6,8,7]=>[7,8,6,1,2,3,5,4]=>[4,5,6,8,7,3,1,2]=>[2,1,3,7,8,6,5,4]
[[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>[3,5,4,2,1,6,8,7]=>[7,8,6,1,2,4,5,3]=>[4,5,8,6,7,3,1,2]=>[2,1,3,7,6,8,5,4]
[[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[4,3,5,2,1,6,8,7]=>[7,8,6,1,2,5,3,4]=>[4,5,7,8,6,3,1,2]=>[2,1,3,6,8,7,5,4]
[[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[3,4,5,2,1,6,8,7]=>[7,8,6,1,2,5,4,3]=>[4,5,8,7,6,3,1,2]=>[2,1,3,6,7,8,5,4]
[[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[2,5,4,3,1,6,8,7]=>[7,8,6,1,3,4,5,2]=>[4,8,5,6,7,3,1,2]=>[2,1,3,7,6,5,8,4]
[[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[2,4,5,3,1,6,8,7]=>[7,8,6,1,3,5,4,2]=>[4,8,5,7,6,3,1,2]=>[2,1,3,6,7,5,8,4]
[[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[3,2,5,4,1,6,8,7]=>[7,8,6,1,4,5,2,3]=>[4,7,8,5,6,3,1,2]=>[2,1,3,6,5,8,7,4]
[[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[2,3,5,4,1,6,8,7]=>[7,8,6,1,4,5,3,2]=>[4,8,7,5,6,3,1,2]=>[2,1,3,6,5,7,8,4]
[[[.,[[.,[.,[.,.]]],.]],.],[.,.]]=>[4,3,2,5,1,6,8,7]=>[7,8,6,1,5,2,3,4]=>[4,6,7,8,5,3,1,2]=>[2,1,3,5,8,7,6,4]
[[[.,[[.,[[.,.],.]],.]],.],[.,.]]=>[3,4,2,5,1,6,8,7]=>[7,8,6,1,5,2,4,3]=>[4,6,8,7,5,3,1,2]=>[2,1,3,5,7,8,6,4]
[[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>[2,4,3,5,1,6,8,7]=>[7,8,6,1,5,3,4,2]=>[4,8,6,7,5,3,1,2]=>[2,1,3,5,7,6,8,4]
[[[.,[[[.,[.,.]],.],.]],.],[.,.]]=>[3,2,4,5,1,6,8,7]=>[7,8,6,1,5,4,2,3]=>[4,7,8,6,5,3,1,2]=>[2,1,3,5,6,8,7,4]
[[[.,[[[[.,.],.],.],.]],.],[.,.]]=>[2,3,4,5,1,6,8,7]=>[7,8,6,1,5,4,3,2]=>[4,8,7,6,5,3,1,2]=>[2,1,3,5,6,7,8,4]
[[[[.,.],[.,[.,[.,.]]]],.],[.,.]]=>[1,5,4,3,2,6,8,7]=>[7,8,6,2,3,4,5,1]=>[8,4,5,6,7,3,1,2]=>[2,1,3,7,6,5,4,8]
[[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>[1,4,5,3,2,6,8,7]=>[7,8,6,2,3,5,4,1]=>[8,4,5,7,6,3,1,2]=>[2,1,3,6,7,5,4,8]
[[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[1,3,5,4,2,6,8,7]=>[7,8,6,2,4,5,3,1]=>[8,4,7,5,6,3,1,2]=>[2,1,3,6,5,7,4,8]
[[[[.,.],[[.,[.,.]],.]],.],[.,.]]=>[1,4,3,5,2,6,8,7]=>[7,8,6,2,5,3,4,1]=>[8,4,6,7,5,3,1,2]=>[2,1,3,5,7,6,4,8]
[[[[.,.],[[[.,.],.],.]],.],[.,.]]=>[1,3,4,5,2,6,8,7]=>[7,8,6,2,5,4,3,1]=>[8,4,7,6,5,3,1,2]=>[2,1,3,5,6,7,4,8]
[[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[2,1,5,4,3,6,8,7]=>[7,8,6,3,4,5,1,2]=>[7,8,4,5,6,3,1,2]=>[2,1,3,6,5,4,8,7]
[[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[2,1,4,5,3,6,8,7]=>[7,8,6,3,5,4,1,2]=>[7,8,4,6,5,3,1,2]=>[2,1,3,5,6,4,8,7]
[[[[[.,.],.],[.,[.,.]]],.],[.,.]]=>[1,2,5,4,3,6,8,7]=>[7,8,6,3,4,5,2,1]=>[8,7,4,5,6,3,1,2]=>[2,1,3,6,5,4,7,8]
[[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[1,2,4,5,3,6,8,7]=>[7,8,6,3,5,4,2,1]=>[8,7,4,6,5,3,1,2]=>[2,1,3,5,6,4,7,8]
[[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[3,2,1,5,4,6,8,7]=>[7,8,6,4,5,1,2,3]=>[6,7,8,4,5,3,1,2]=>[2,1,3,5,4,8,7,6]
[[[[.,[[.,.],.]],[.,.]],.],[.,.]]=>[2,3,1,5,4,6,8,7]=>[7,8,6,4,5,1,3,2]=>[6,8,7,4,5,3,1,2]=>[2,1,3,5,4,7,8,6]
[[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[1,3,2,5,4,6,8,7]=>[7,8,6,4,5,2,3,1]=>[8,6,7,4,5,3,1,2]=>[2,1,3,5,4,7,6,8]
[[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[2,1,3,5,4,6,8,7]=>[7,8,6,4,5,3,1,2]=>[7,8,6,4,5,3,1,2]=>[2,1,3,5,4,6,8,7]
[[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[1,2,3,5,4,6,8,7]=>[7,8,6,4,5,3,2,1]=>[8,7,6,4,5,3,1,2]=>[2,1,3,5,4,6,7,8]
[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[4,3,2,1,5,6,8,7]=>[7,8,6,5,1,2,3,4]=>[5,6,7,8,4,3,1,2]=>[2,1,3,4,8,7,6,5]
[[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[3,4,2,1,5,6,8,7]=>[7,8,6,5,1,2,4,3]=>[5,6,8,7,4,3,1,2]=>[2,1,3,4,7,8,6,5]
[[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[2,4,3,1,5,6,8,7]=>[7,8,6,5,1,3,4,2]=>[5,8,6,7,4,3,1,2]=>[2,1,3,4,7,6,8,5]
[[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[3,2,4,1,5,6,8,7]=>[7,8,6,5,1,4,2,3]=>[5,7,8,6,4,3,1,2]=>[2,1,3,4,6,8,7,5]
[[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[2,3,4,1,5,6,8,7]=>[7,8,6,5,1,4,3,2]=>[5,8,7,6,4,3,1,2]=>[2,1,3,4,6,7,8,5]
[[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[1,4,3,2,5,6,8,7]=>[7,8,6,5,2,3,4,1]=>[8,5,6,7,4,3,1,2]=>[2,1,3,4,7,6,5,8]
[[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[1,3,4,2,5,6,8,7]=>[7,8,6,5,2,4,3,1]=>[8,5,7,6,4,3,1,2]=>[2,1,3,4,6,7,5,8]
[[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[2,1,4,3,5,6,8,7]=>[7,8,6,5,3,4,1,2]=>[7,8,5,6,4,3,1,2]=>[2,1,3,4,6,5,8,7]
[[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[1,2,4,3,5,6,8,7]=>[7,8,6,5,3,4,2,1]=>[8,7,5,6,4,3,1,2]=>[2,1,3,4,6,5,7,8]
[[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[3,2,1,4,5,6,8,7]=>[7,8,6,5,4,1,2,3]=>[6,7,8,5,4,3,1,2]=>[2,1,3,4,5,8,7,6]
[[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[2,3,1,4,5,6,8,7]=>[7,8,6,5,4,1,3,2]=>[6,8,7,5,4,3,1,2]=>[2,1,3,4,5,7,8,6]
[[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[1,3,2,4,5,6,8,7]=>[7,8,6,5,4,2,3,1]=>[8,6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6,8]
[[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7]
[[[[[[[.,.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6]=>[2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]
[[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[5,7,6,4,3,2,1,8]=>[8,1,2,3,4,6,7,5]=>[2,3,4,5,8,6,7,1]=>[1,7,6,8,5,4,3,2]
[[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[8,1,2,3,4,7,5,6]=>[2,3,4,5,7,8,6,1]=>[1,6,8,7,5,4,3,2]
[[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[8,1,2,3,4,7,6,5]=>[2,3,4,5,8,7,6,1]=>[1,6,7,8,5,4,3,2]
[[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[4,7,6,5,3,2,1,8]=>[8,1,2,3,5,6,7,4]=>[2,3,4,8,5,6,7,1]=>[1,7,6,5,8,4,3,2]
[[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>[4,6,7,5,3,2,1,8]=>[8,1,2,3,5,7,6,4]=>[2,3,4,8,5,7,6,1]=>[1,6,7,5,8,4,3,2]
[[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>[5,4,7,6,3,2,1,8]=>[8,1,2,3,6,7,4,5]=>[2,3,4,7,8,5,6,1]=>[1,6,5,8,7,4,3,2]
[[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[4,5,7,6,3,2,1,8]=>[8,1,2,3,6,7,5,4]=>[2,3,4,8,7,5,6,1]=>[1,6,5,7,8,4,3,2]
[[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[8,1,2,3,7,4,5,6]=>[2,3,4,6,7,8,5,1]=>[1,5,8,7,6,4,3,2]
[[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[8,1,2,3,7,4,6,5]=>[2,3,4,6,8,7,5,1]=>[1,5,7,8,6,4,3,2]
[[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>[4,6,5,7,3,2,1,8]=>[8,1,2,3,7,5,6,4]=>[2,3,4,8,6,7,5,1]=>[1,5,7,6,8,4,3,2]
[[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>[5,4,6,7,3,2,1,8]=>[8,1,2,3,7,6,4,5]=>[2,3,4,7,8,6,5,1]=>[1,5,6,8,7,4,3,2]
[[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[8,1,2,3,7,6,5,4]=>[2,3,4,8,7,6,5,1]=>[1,5,6,7,8,4,3,2]
[[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[3,7,6,5,4,2,1,8]=>[8,1,2,4,5,6,7,3]=>[2,3,8,4,5,6,7,1]=>[1,7,6,5,4,8,3,2]
[[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>[3,6,7,5,4,2,1,8]=>[8,1,2,4,5,7,6,3]=>[2,3,8,4,5,7,6,1]=>[1,6,7,5,4,8,3,2]
[[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[3,5,7,6,4,2,1,8]=>[8,1,2,4,6,7,5,3]=>[2,3,8,4,7,5,6,1]=>[1,6,5,7,4,8,3,2]
[[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[3,5,6,7,4,2,1,8]=>[8,1,2,4,7,6,5,3]=>[2,3,8,4,7,6,5,1]=>[1,5,6,7,4,8,3,2]
[[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[4,3,7,6,5,2,1,8]=>[8,1,2,5,6,7,3,4]=>[2,3,7,8,4,5,6,1]=>[1,6,5,4,8,7,3,2]
[[.,[.,[[.,[.,.]],[[.,.],.]]]],.]=>[4,3,6,7,5,2,1,8]=>[8,1,2,5,7,6,3,4]=>[2,3,7,8,4,6,5,1]=>[1,5,6,4,8,7,3,2]
[[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[3,4,7,6,5,2,1,8]=>[8,1,2,5,6,7,4,3]=>[2,3,8,7,4,5,6,1]=>[1,6,5,4,7,8,3,2]
[[.,[.,[[[.,.],.],[[.,.],.]]]],.]=>[3,4,6,7,5,2,1,8]=>[8,1,2,5,7,6,4,3]=>[2,3,8,7,4,6,5,1]=>[1,5,6,4,7,8,3,2]
[[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>[5,4,3,7,6,2,1,8]=>[8,1,2,6,7,3,4,5]=>[2,3,6,7,8,4,5,1]=>[1,5,4,8,7,6,3,2]
[[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[4,5,3,7,6,2,1,8]=>[8,1,2,6,7,3,5,4]=>[2,3,6,8,7,4,5,1]=>[1,5,4,7,8,6,3,2]
[[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>[3,5,4,7,6,2,1,8]=>[8,1,2,6,7,4,5,3]=>[2,3,8,6,7,4,5,1]=>[1,5,4,7,6,8,3,2]
[[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>[4,3,5,7,6,2,1,8]=>[8,1,2,6,7,5,3,4]=>[2,3,7,8,6,4,5,1]=>[1,5,4,6,8,7,3,2]
[[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>[3,4,5,7,6,2,1,8]=>[8,1,2,6,7,5,4,3]=>[2,3,8,7,6,4,5,1]=>[1,5,4,6,7,8,3,2]
[[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[8,1,2,7,3,4,5,6]=>[2,3,5,6,7,8,4,1]=>[1,4,8,7,6,5,3,2]
[[.,[.,[[.,[.,[[.,.],.]]],.]]],.]=>[5,6,4,3,7,2,1,8]=>[8,1,2,7,3,4,6,5]=>[2,3,5,6,8,7,4,1]=>[1,4,7,8,6,5,3,2]
[[.,[.,[[.,[[.,.],[.,.]]],.]]],.]=>[4,6,5,3,7,2,1,8]=>[8,1,2,7,3,5,6,4]=>[2,3,5,8,6,7,4,1]=>[1,4,7,6,8,5,3,2]
[[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[8,1,2,7,3,6,4,5]=>[2,3,5,7,8,6,4,1]=>[1,4,6,8,7,5,3,2]
[[.,[.,[[.,[[[.,.],.],.]],.]]],.]=>[4,5,6,3,7,2,1,8]=>[8,1,2,7,3,6,5,4]=>[2,3,5,8,7,6,4,1]=>[1,4,6,7,8,5,3,2]
[[.,[.,[[[.,.],[.,[.,.]]],.]]],.]=>[3,6,5,4,7,2,1,8]=>[8,1,2,7,4,5,6,3]=>[2,3,8,5,6,7,4,1]=>[1,4,7,6,5,8,3,2]
[[.,[.,[[[.,.],[[.,.],.]],.]]],.]=>[3,5,6,4,7,2,1,8]=>[8,1,2,7,4,6,5,3]=>[2,3,8,5,7,6,4,1]=>[1,4,6,7,5,8,3,2]
[[.,[.,[[[.,[.,.]],[.,.]],.]]],.]=>[4,3,6,5,7,2,1,8]=>[8,1,2,7,5,6,3,4]=>[2,3,7,8,5,6,4,1]=>[1,4,6,5,8,7,3,2]
[[.,[.,[[[[.,.],.],[.,.]],.]]],.]=>[3,4,6,5,7,2,1,8]=>[8,1,2,7,5,6,4,3]=>[2,3,8,7,5,6,4,1]=>[1,4,6,5,7,8,3,2]
[[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[8,1,2,7,6,3,4,5]=>[2,3,6,7,8,5,4,1]=>[1,4,5,8,7,6,3,2]
[[.,[.,[[[.,[[.,.],.]],.],.]]],.]=>[4,5,3,6,7,2,1,8]=>[8,1,2,7,6,3,5,4]=>[2,3,6,8,7,5,4,1]=>[1,4,5,7,8,6,3,2]
[[.,[.,[[[[.,.],[.,.]],.],.]]],.]=>[3,5,4,6,7,2,1,8]=>[8,1,2,7,6,4,5,3]=>[2,3,8,6,7,5,4,1]=>[1,4,5,7,6,8,3,2]
[[.,[.,[[[[.,[.,.]],.],.],.]]],.]=>[4,3,5,6,7,2,1,8]=>[8,1,2,7,6,5,3,4]=>[2,3,7,8,6,5,4,1]=>[1,4,5,6,8,7,3,2]
[[.,[.,[[[[[.,.],.],.],.],.]]],.]=>[3,4,5,6,7,2,1,8]=>[8,1,2,7,6,5,4,3]=>[2,3,8,7,6,5,4,1]=>[1,4,5,6,7,8,3,2]
[[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[2,7,6,5,4,3,1,8]=>[8,1,3,4,5,6,7,2]=>[2,8,3,4,5,6,7,1]=>[1,7,6,5,4,3,8,2]
[[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>[2,6,7,5,4,3,1,8]=>[8,1,3,4,5,7,6,2]=>[2,8,3,4,5,7,6,1]=>[1,6,7,5,4,3,8,2]
[[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[2,5,7,6,4,3,1,8]=>[8,1,3,4,6,7,5,2]=>[2,8,3,4,7,5,6,1]=>[1,6,5,7,4,3,8,2]
[[.,[[.,.],[.,[[.,[.,.]],.]]]],.]=>[2,6,5,7,4,3,1,8]=>[8,1,3,4,7,5,6,2]=>[2,8,3,4,6,7,5,1]=>[1,5,7,6,4,3,8,2]
[[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[2,5,6,7,4,3,1,8]=>[8,1,3,4,7,6,5,2]=>[2,8,3,4,7,6,5,1]=>[1,5,6,7,4,3,8,2]
[[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[2,4,7,6,5,3,1,8]=>[8,1,3,5,6,7,4,2]=>[2,8,3,7,4,5,6,1]=>[1,6,5,4,7,3,8,2]
[[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[2,4,6,7,5,3,1,8]=>[8,1,3,5,7,6,4,2]=>[2,8,3,7,4,6,5,1]=>[1,5,6,4,7,3,8,2]
[[.,[[.,.],[[.,[.,.]],[.,.]]]],.]=>[2,5,4,7,6,3,1,8]=>[8,1,3,6,7,4,5,2]=>[2,8,3,6,7,4,5,1]=>[1,5,4,7,6,3,8,2]
[[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[2,4,5,7,6,3,1,8]=>[8,1,3,6,7,5,4,2]=>[2,8,3,7,6,4,5,1]=>[1,5,4,6,7,3,8,2]
[[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>[2,6,5,4,7,3,1,8]=>[8,1,3,7,4,5,6,2]=>[2,8,3,5,6,7,4,1]=>[1,4,7,6,5,3,8,2]
[[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[2,5,6,4,7,3,1,8]=>[8,1,3,7,4,6,5,2]=>[2,8,3,5,7,6,4,1]=>[1,4,6,7,5,3,8,2]
[[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>[2,4,6,5,7,3,1,8]=>[8,1,3,7,5,6,4,2]=>[2,8,3,7,5,6,4,1]=>[1,4,6,5,7,3,8,2]
[[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>[2,5,4,6,7,3,1,8]=>[8,1,3,7,6,4,5,2]=>[2,8,3,6,7,5,4,1]=>[1,4,5,7,6,3,8,2]
[[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[2,4,5,6,7,3,1,8]=>[8,1,3,7,6,5,4,2]=>[2,8,3,7,6,5,4,1]=>[1,4,5,6,7,3,8,2]
[[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[3,2,7,6,5,4,1,8]=>[8,1,4,5,6,7,2,3]=>[2,7,8,3,4,5,6,1]=>[1,6,5,4,3,8,7,2]
[[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[3,2,6,7,5,4,1,8]=>[8,1,4,5,7,6,2,3]=>[2,7,8,3,4,6,5,1]=>[1,5,6,4,3,8,7,2]
[[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[3,2,5,7,6,4,1,8]=>[8,1,4,6,7,5,2,3]=>[2,7,8,3,6,4,5,1]=>[1,5,4,6,3,8,7,2]
[[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[3,2,6,5,7,4,1,8]=>[8,1,4,7,5,6,2,3]=>[2,7,8,3,5,6,4,1]=>[1,4,6,5,3,8,7,2]
[[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[3,2,5,6,7,4,1,8]=>[8,1,4,7,6,5,2,3]=>[2,7,8,3,6,5,4,1]=>[1,4,5,6,3,8,7,2]
[[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[2,3,7,6,5,4,1,8]=>[8,1,4,5,6,7,3,2]=>[2,8,7,3,4,5,6,1]=>[1,6,5,4,3,7,8,2]
[[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[2,3,6,7,5,4,1,8]=>[8,1,4,5,7,6,3,2]=>[2,8,7,3,4,6,5,1]=>[1,5,6,4,3,7,8,2]
[[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[2,3,5,7,6,4,1,8]=>[8,1,4,6,7,5,3,2]=>[2,8,7,3,6,4,5,1]=>[1,5,4,6,3,7,8,2]
[[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[2,3,6,5,7,4,1,8]=>[8,1,4,7,5,6,3,2]=>[2,8,7,3,5,6,4,1]=>[1,4,6,5,3,7,8,2]
[[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[2,3,5,6,7,4,1,8]=>[8,1,4,7,6,5,3,2]=>[2,8,7,3,6,5,4,1]=>[1,4,5,6,3,7,8,2]
[[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>[4,3,2,7,6,5,1,8]=>[8,1,5,6,7,2,3,4]=>[2,6,7,8,3,4,5,1]=>[1,5,4,3,8,7,6,2]
[[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[4,3,2,6,7,5,1,8]=>[8,1,5,7,6,2,3,4]=>[2,6,7,8,3,5,4,1]=>[1,4,5,3,8,7,6,2]
[[.,[[.,[[.,.],.]],[.,[.,.]]]],.]=>[3,4,2,7,6,5,1,8]=>[8,1,5,6,7,2,4,3]=>[2,6,8,7,3,4,5,1]=>[1,5,4,3,7,8,6,2]
[[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[3,4,2,6,7,5,1,8]=>[8,1,5,7,6,2,4,3]=>[2,6,8,7,3,5,4,1]=>[1,4,5,3,7,8,6,2]
[[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[2,4,3,7,6,5,1,8]=>[8,1,5,6,7,3,4,2]=>[2,8,6,7,3,4,5,1]=>[1,5,4,3,7,6,8,2]
[[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>[2,4,3,6,7,5,1,8]=>[8,1,5,7,6,3,4,2]=>[2,8,6,7,3,5,4,1]=>[1,4,5,3,7,6,8,2]
[[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[3,2,4,7,6,5,1,8]=>[8,1,5,6,7,4,2,3]=>[2,7,8,6,3,4,5,1]=>[1,5,4,3,6,8,7,2]
[[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[3,2,4,6,7,5,1,8]=>[8,1,5,7,6,4,2,3]=>[2,7,8,6,3,5,4,1]=>[1,4,5,3,6,8,7,2]
[[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[2,3,4,7,6,5,1,8]=>[8,1,5,6,7,4,3,2]=>[2,8,7,6,3,4,5,1]=>[1,5,4,3,6,7,8,2]
[[.,[[[[.,.],.],.],[[.,.],.]]],.]=>[2,3,4,6,7,5,1,8]=>[8,1,5,7,6,4,3,2]=>[2,8,7,6,3,5,4,1]=>[1,4,5,3,6,7,8,2]
[[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[5,4,3,2,7,6,1,8]=>[8,1,6,7,2,3,4,5]=>[2,5,6,7,8,3,4,1]=>[1,4,3,8,7,6,5,2]
[[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[4,5,3,2,7,6,1,8]=>[8,1,6,7,2,3,5,4]=>[2,5,6,8,7,3,4,1]=>[1,4,3,7,8,6,5,2]
[[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[3,5,4,2,7,6,1,8]=>[8,1,6,7,2,4,5,3]=>[2,5,8,6,7,3,4,1]=>[1,4,3,7,6,8,5,2]
[[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[4,3,5,2,7,6,1,8]=>[8,1,6,7,2,5,3,4]=>[2,5,7,8,6,3,4,1]=>[1,4,3,6,8,7,5,2]
[[.,[[.,[[[.,.],.],.]],[.,.]]],.]=>[3,4,5,2,7,6,1,8]=>[8,1,6,7,2,5,4,3]=>[2,5,8,7,6,3,4,1]=>[1,4,3,6,7,8,5,2]
[[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>[2,5,4,3,7,6,1,8]=>[8,1,6,7,3,4,5,2]=>[2,8,5,6,7,3,4,1]=>[1,4,3,7,6,5,8,2]
[[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]=>[2,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,2]
[[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>[2,3,5,4,7,6,1,8]=>[8,1,6,7,4,5,3,2]=>[2,8,7,5,6,3,4,1]=>[1,4,3,6,5,7,8,2]
[[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[4,3,2,5,7,6,1,8]=>[8,1,6,7,5,2,3,4]=>[2,6,7,8,5,3,4,1]=>[1,4,3,5,8,7,6,2]
[[.,[[[.,[[.,.],.]],.],[.,.]]],.]=>[3,4,2,5,7,6,1,8]=>[8,1,6,7,5,2,4,3]=>[2,6,8,7,5,3,4,1]=>[1,4,3,5,7,8,6,2]
[[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>[2,4,3,5,7,6,1,8]=>[8,1,6,7,5,3,4,2]=>[2,8,6,7,5,3,4,1]=>[1,4,3,5,7,6,8,2]
[[.,[[[[.,[.,.]],.],.],[.,.]]],.]=>[3,2,4,5,7,6,1,8]=>[8,1,6,7,5,4,2,3]=>[2,7,8,6,5,3,4,1]=>[1,4,3,5,6,8,7,2]
[[.,[[[[[.,.],.],.],.],[.,.]]],.]=>[2,3,4,5,7,6,1,8]=>[8,1,6,7,5,4,3,2]=>[2,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,2]
[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>[6,5,4,3,2,7,1,8]=>[8,1,7,2,3,4,5,6]=>[2,4,5,6,7,8,3,1]=>[1,3,8,7,6,5,4,2]
[[.,[[.,[.,[.,[[.,.],.]]]],.]],.]=>[5,6,4,3,2,7,1,8]=>[8,1,7,2,3,4,6,5]=>[2,4,5,6,8,7,3,1]=>[1,3,7,8,6,5,4,2]
[[.,[[.,[.,[[.,.],[.,.]]]],.]],.]=>[4,6,5,3,2,7,1,8]=>[8,1,7,2,3,5,6,4]=>[2,4,5,8,6,7,3,1]=>[1,3,7,6,8,5,4,2]
[[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>[5,4,6,3,2,7,1,8]=>[8,1,7,2,3,6,4,5]=>[2,4,5,7,8,6,3,1]=>[1,3,6,8,7,5,4,2]
[[.,[[.,[.,[[[.,.],.],.]]],.]],.]=>[4,5,6,3,2,7,1,8]=>[8,1,7,2,3,6,5,4]=>[2,4,5,8,7,6,3,1]=>[1,3,6,7,8,5,4,2]
[[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>[3,6,5,4,2,7,1,8]=>[8,1,7,2,4,5,6,3]=>[2,4,8,5,6,7,3,1]=>[1,3,7,6,5,8,4,2]
[[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[3,5,6,4,2,7,1,8]=>[8,1,7,2,4,6,5,3]=>[2,4,8,5,7,6,3,1]=>[1,3,6,7,5,8,4,2]
[[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[4,3,6,5,2,7,1,8]=>[8,1,7,2,5,6,3,4]=>[2,4,7,8,5,6,3,1]=>[1,3,6,5,8,7,4,2]
[[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>[3,4,6,5,2,7,1,8]=>[8,1,7,2,5,6,4,3]=>[2,4,8,7,5,6,3,1]=>[1,3,6,5,7,8,4,2]
[[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[5,4,3,6,2,7,1,8]=>[8,1,7,2,6,3,4,5]=>[2,4,6,7,8,5,3,1]=>[1,3,5,8,7,6,4,2]
[[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[8,1,7,2,6,3,5,4]=>[2,4,6,8,7,5,3,1]=>[1,3,5,7,8,6,4,2]
[[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>[3,5,4,6,2,7,1,8]=>[8,1,7,2,6,4,5,3]=>[2,4,8,6,7,5,3,1]=>[1,3,5,7,6,8,4,2]
[[.,[[.,[[[.,[.,.]],.],.]],.]],.]=>[4,3,5,6,2,7,1,8]=>[8,1,7,2,6,5,3,4]=>[2,4,7,8,6,5,3,1]=>[1,3,5,6,8,7,4,2]
[[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[8,1,7,2,6,5,4,3]=>[2,4,8,7,6,5,3,1]=>[1,3,5,6,7,8,4,2]
[[.,[[[.,.],[.,[.,[.,.]]]],.]],.]=>[2,6,5,4,3,7,1,8]=>[8,1,7,3,4,5,6,2]=>[2,8,4,5,6,7,3,1]=>[1,3,7,6,5,4,8,2]
[[.,[[[.,.],[.,[[.,.],.]]],.]],.]=>[2,5,6,4,3,7,1,8]=>[8,1,7,3,4,6,5,2]=>[2,8,4,5,7,6,3,1]=>[1,3,6,7,5,4,8,2]
[[.,[[[.,.],[[.,.],[.,.]]],.]],.]=>[2,4,6,5,3,7,1,8]=>[8,1,7,3,5,6,4,2]=>[2,8,4,7,5,6,3,1]=>[1,3,6,5,7,4,8,2]
[[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>[2,5,4,6,3,7,1,8]=>[8,1,7,3,6,4,5,2]=>[2,8,4,6,7,5,3,1]=>[1,3,5,7,6,4,8,2]
[[.,[[[.,.],[[[.,.],.],.]],.]],.]=>[2,4,5,6,3,7,1,8]=>[8,1,7,3,6,5,4,2]=>[2,8,4,7,6,5,3,1]=>[1,3,5,6,7,4,8,2]
[[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>[3,2,6,5,4,7,1,8]=>[8,1,7,4,5,6,2,3]=>[2,7,8,4,5,6,3,1]=>[1,3,6,5,4,8,7,2]
[[.,[[[.,[.,.]],[[.,.],.]],.]],.]=>[3,2,5,6,4,7,1,8]=>[8,1,7,4,6,5,2,3]=>[2,7,8,4,6,5,3,1]=>[1,3,5,6,4,8,7,2]
[[.,[[[[.,.],.],[.,[.,.]]],.]],.]=>[2,3,6,5,4,7,1,8]=>[8,1,7,4,5,6,3,2]=>[2,8,7,4,5,6,3,1]=>[1,3,6,5,4,7,8,2]
[[.,[[[[.,.],.],[[.,.],.]],.]],.]=>[2,3,5,6,4,7,1,8]=>[8,1,7,4,6,5,3,2]=>[2,8,7,4,6,5,3,1]=>[1,3,5,6,4,7,8,2]
[[.,[[[.,[.,[.,.]]],[.,.]],.]],.]=>[4,3,2,6,5,7,1,8]=>[8,1,7,5,6,2,3,4]=>[2,6,7,8,4,5,3,1]=>[1,3,5,4,8,7,6,2]
[[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>[3,4,2,6,5,7,1,8]=>[8,1,7,5,6,2,4,3]=>[2,6,8,7,4,5,3,1]=>[1,3,5,4,7,8,6,2]
[[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[2,4,3,6,5,7,1,8]=>[8,1,7,5,6,3,4,2]=>[2,8,6,7,4,5,3,1]=>[1,3,5,4,7,6,8,2]
[[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>[3,2,4,6,5,7,1,8]=>[8,1,7,5,6,4,2,3]=>[2,7,8,6,4,5,3,1]=>[1,3,5,4,6,8,7,2]
[[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[2,3,4,6,5,7,1,8]=>[8,1,7,5,6,4,3,2]=>[2,8,7,6,4,5,3,1]=>[1,3,5,4,6,7,8,2]
[[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[8,1,7,6,2,3,4,5]=>[2,5,6,7,8,4,3,1]=>[1,3,4,8,7,6,5,2]
[[.,[[[.,[.,[[.,.],.]]],.],.]],.]=>[4,5,3,2,6,7,1,8]=>[8,1,7,6,2,3,5,4]=>[2,5,6,8,7,4,3,1]=>[1,3,4,7,8,6,5,2]
[[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[3,5,4,2,6,7,1,8]=>[8,1,7,6,2,4,5,3]=>[2,5,8,6,7,4,3,1]=>[1,3,4,7,6,8,5,2]
[[.,[[[.,[[.,[.,.]],.]],.],.]],.]=>[4,3,5,2,6,7,1,8]=>[8,1,7,6,2,5,3,4]=>[2,5,7,8,6,4,3,1]=>[1,3,4,6,8,7,5,2]
[[.,[[[.,[[[.,.],.],.]],.],.]],.]=>[3,4,5,2,6,7,1,8]=>[8,1,7,6,2,5,4,3]=>[2,5,8,7,6,4,3,1]=>[1,3,4,6,7,8,5,2]
[[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>[2,5,4,3,6,7,1,8]=>[8,1,7,6,3,4,5,2]=>[2,8,5,6,7,4,3,1]=>[1,3,4,7,6,5,8,2]
[[.,[[[[.,.],[[.,.],.]],.],.]],.]=>[2,4,5,3,6,7,1,8]=>[8,1,7,6,3,5,4,2]=>[2,8,5,7,6,4,3,1]=>[1,3,4,6,7,5,8,2]
[[.,[[[[.,[.,.]],[.,.]],.],.]],.]=>[3,2,5,4,6,7,1,8]=>[8,1,7,6,4,5,2,3]=>[2,7,8,5,6,4,3,1]=>[1,3,4,6,5,8,7,2]
[[.,[[[[[.,.],.],[.,.]],.],.]],.]=>[2,3,5,4,6,7,1,8]=>[8,1,7,6,4,5,3,2]=>[2,8,7,5,6,4,3,1]=>[1,3,4,6,5,7,8,2]
[[.,[[[[.,[.,[.,.]]],.],.],.]],.]=>[4,3,2,5,6,7,1,8]=>[8,1,7,6,5,2,3,4]=>[2,6,7,8,5,4,3,1]=>[1,3,4,5,8,7,6,2]
[[.,[[[[.,[[.,.],.]],.],.],.]],.]=>[3,4,2,5,6,7,1,8]=>[8,1,7,6,5,2,4,3]=>[2,6,8,7,5,4,3,1]=>[1,3,4,5,7,8,6,2]
[[.,[[[[[.,.],[.,.]],.],.],.]],.]=>[2,4,3,5,6,7,1,8]=>[8,1,7,6,5,3,4,2]=>[2,8,6,7,5,4,3,1]=>[1,3,4,5,7,6,8,2]
[[.,[[[[[.,[.,.]],.],.],.],.]],.]=>[3,2,4,5,6,7,1,8]=>[8,1,7,6,5,4,2,3]=>[2,7,8,6,5,4,3,1]=>[1,3,4,5,6,8,7,2]
[[.,[[[[[[.,.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,1,8]=>[8,1,7,6,5,4,3,2]=>[2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[1,7,6,5,4,3,2,8]=>[8,2,3,4,5,6,7,1]=>[8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8]
[[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>[1,6,7,5,4,3,2,8]=>[8,2,3,4,5,7,6,1]=>[8,2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2,8]
[[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>[1,5,7,6,4,3,2,8]=>[8,2,3,4,6,7,5,1]=>[8,2,3,4,7,5,6,1]=>[1,6,5,7,4,3,2,8]
[[[.,.],[.,[.,[[.,[.,.]],.]]]],.]=>[1,6,5,7,4,3,2,8]=>[8,2,3,4,7,5,6,1]=>[8,2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2,8]
[[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>[1,5,6,7,4,3,2,8]=>[8,2,3,4,7,6,5,1]=>[8,2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2,8]
[[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>[1,4,7,6,5,3,2,8]=>[8,2,3,5,6,7,4,1]=>[8,2,3,7,4,5,6,1]=>[1,6,5,4,7,3,2,8]
[[[.,.],[.,[[.,.],[[.,.],.]]]],.]=>[1,4,6,7,5,3,2,8]=>[8,2,3,5,7,6,4,1]=>[8,2,3,7,4,6,5,1]=>[1,5,6,4,7,3,2,8]
[[[.,.],[.,[[.,[.,.]],[.,.]]]],.]=>[1,5,4,7,6,3,2,8]=>[8,2,3,6,7,4,5,1]=>[8,2,3,6,7,4,5,1]=>[1,5,4,7,6,3,2,8]
[[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[1,4,5,7,6,3,2,8]=>[8,2,3,6,7,5,4,1]=>[8,2,3,7,6,4,5,1]=>[1,5,4,6,7,3,2,8]
[[[.,.],[.,[[.,[.,[.,.]]],.]]],.]=>[1,6,5,4,7,3,2,8]=>[8,2,3,7,4,5,6,1]=>[8,2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2,8]
[[[.,.],[.,[[.,[[.,.],.]],.]]],.]=>[1,5,6,4,7,3,2,8]=>[8,2,3,7,4,6,5,1]=>[8,2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2,8]
[[[.,.],[.,[[[.,.],[.,.]],.]]],.]=>[1,4,6,5,7,3,2,8]=>[8,2,3,7,5,6,4,1]=>[8,2,3,7,5,6,4,1]=>[1,4,6,5,7,3,2,8]
[[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>[1,5,4,6,7,3,2,8]=>[8,2,3,7,6,4,5,1]=>[8,2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2,8]
[[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[1,4,5,6,7,3,2,8]=>[8,2,3,7,6,5,4,1]=>[8,2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2,8]
[[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[1,3,7,6,5,4,2,8]=>[8,2,4,5,6,7,3,1]=>[8,2,7,3,4,5,6,1]=>[1,6,5,4,3,7,2,8]
[[[.,.],[[.,.],[.,[[.,.],.]]]],.]=>[1,3,6,7,5,4,2,8]=>[8,2,4,5,7,6,3,1]=>[8,2,7,3,4,6,5,1]=>[1,5,6,4,3,7,2,8]
[[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[1,3,5,7,6,4,2,8]=>[8,2,4,6,7,5,3,1]=>[8,2,7,3,6,4,5,1]=>[1,5,4,6,3,7,2,8]
[[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>[1,3,6,5,7,4,2,8]=>[8,2,4,7,5,6,3,1]=>[8,2,7,3,5,6,4,1]=>[1,4,6,5,3,7,2,8]
[[[.,.],[[.,.],[[[.,.],.],.]]],.]=>[1,3,5,6,7,4,2,8]=>[8,2,4,7,6,5,3,1]=>[8,2,7,3,6,5,4,1]=>[1,4,5,6,3,7,2,8]
[[[.,.],[[.,[.,.]],[.,[.,.]]]],.]=>[1,4,3,7,6,5,2,8]=>[8,2,5,6,7,3,4,1]=>[8,2,6,7,3,4,5,1]=>[1,5,4,3,7,6,2,8]
[[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>[1,4,3,6,7,5,2,8]=>[8,2,5,7,6,3,4,1]=>[8,2,6,7,3,5,4,1]=>[1,4,5,3,7,6,2,8]
[[[.,.],[[[.,.],.],[.,[.,.]]]],.]=>[1,3,4,7,6,5,2,8]=>[8,2,5,6,7,4,3,1]=>[8,2,7,6,3,4,5,1]=>[1,5,4,3,6,7,2,8]
[[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[1,3,4,6,7,5,2,8]=>[8,2,5,7,6,4,3,1]=>[8,2,7,6,3,5,4,1]=>[1,4,5,3,6,7,2,8]
[[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>[1,4,5,3,7,6,2,8]=>[8,2,6,7,3,5,4,1]=>[8,2,5,7,6,3,4,1]=>[1,4,3,6,7,5,2,8]
[[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[1,3,5,4,7,6,2,8]=>[8,2,6,7,4,5,3,1]=>[8,2,7,5,6,3,4,1]=>[1,4,3,6,5,7,2,8]
[[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>[1,4,3,5,7,6,2,8]=>[8,2,6,7,5,3,4,1]=>[8,2,6,7,5,3,4,1]=>[1,4,3,5,7,6,2,8]
[[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[1,3,4,5,7,6,2,8]=>[8,2,6,7,5,4,3,1]=>[8,2,7,6,5,3,4,1]=>[1,4,3,5,6,7,2,8]
[[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>[1,6,5,4,3,7,2,8]=>[8,2,7,3,4,5,6,1]=>[8,2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2,8]
[[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>[1,5,6,4,3,7,2,8]=>[8,2,7,3,4,6,5,1]=>[8,2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2,8]
[[[.,.],[[.,[[.,.],[.,.]]],.]],.]=>[1,4,6,5,3,7,2,8]=>[8,2,7,3,5,6,4,1]=>[8,2,4,7,5,6,3,1]=>[1,3,6,5,7,4,2,8]
[[[.,.],[[.,[[.,[.,.]],.]],.]],.]=>[1,5,4,6,3,7,2,8]=>[8,2,7,3,6,4,5,1]=>[8,2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2,8]
[[[.,.],[[.,[[[.,.],.],.]],.]],.]=>[1,4,5,6,3,7,2,8]=>[8,2,7,3,6,5,4,1]=>[8,2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2,8]
[[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>[1,3,6,5,4,7,2,8]=>[8,2,7,4,5,6,3,1]=>[8,2,7,4,5,6,3,1]=>[1,3,6,5,4,7,2,8]
[[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[1,3,5,6,4,7,2,8]=>[8,2,7,4,6,5,3,1]=>[8,2,7,4,6,5,3,1]=>[1,3,5,6,4,7,2,8]
[[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>[1,4,3,6,5,7,2,8]=>[8,2,7,5,6,3,4,1]=>[8,2,6,7,4,5,3,1]=>[1,3,5,4,7,6,2,8]
[[[.,.],[[[[.,.],.],[.,.]],.]],.]=>[1,3,4,6,5,7,2,8]=>[8,2,7,5,6,4,3,1]=>[8,2,7,6,4,5,3,1]=>[1,3,5,4,6,7,2,8]
[[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>[1,5,4,3,6,7,2,8]=>[8,2,7,6,3,4,5,1]=>[8,2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2,8]
[[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[1,4,5,3,6,7,2,8]=>[8,2,7,6,3,5,4,1]=>[8,2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2,8]
[[[.,.],[[[[.,.],[.,.]],.],.]],.]=>[1,3,5,4,6,7,2,8]=>[8,2,7,6,4,5,3,1]=>[8,2,7,5,6,4,3,1]=>[1,3,4,6,5,7,2,8]
[[[.,.],[[[[.,[.,.]],.],.],.]],.]=>[1,4,3,5,6,7,2,8]=>[8,2,7,6,5,3,4,1]=>[8,2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2,8]
[[[.,.],[[[[[.,.],.],.],.],.]],.]=>[1,3,4,5,6,7,2,8]=>[8,2,7,6,5,4,3,1]=>[8,2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2,8]
[[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[2,1,7,6,5,4,3,8]=>[8,3,4,5,6,7,1,2]=>[7,8,2,3,4,5,6,1]=>[1,6,5,4,3,2,8,7]
[[[.,[.,.]],[.,[.,[[.,.],.]]]],.]=>[2,1,6,7,5,4,3,8]=>[8,3,4,5,7,6,1,2]=>[7,8,2,3,4,6,5,1]=>[1,5,6,4,3,2,8,7]
[[[.,[.,.]],[.,[[.,.],[.,.]]]],.]=>[2,1,5,7,6,4,3,8]=>[8,3,4,6,7,5,1,2]=>[7,8,2,3,6,4,5,1]=>[1,5,4,6,3,2,8,7]
[[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[2,1,5,6,7,4,3,8]=>[8,3,4,7,6,5,1,2]=>[7,8,2,3,6,5,4,1]=>[1,4,5,6,3,2,8,7]
[[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>[2,1,4,6,7,5,3,8]=>[8,3,5,7,6,4,1,2]=>[7,8,2,6,3,5,4,1]=>[1,4,5,3,6,2,8,7]
[[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>[2,1,6,5,4,7,3,8]=>[8,3,7,4,5,6,1,2]=>[7,8,2,4,5,6,3,1]=>[1,3,6,5,4,2,8,7]
[[[.,[.,.]],[[.,[[.,.],.]],.]],.]=>[2,1,5,6,4,7,3,8]=>[8,3,7,4,6,5,1,2]=>[7,8,2,4,6,5,3,1]=>[1,3,5,6,4,2,8,7]
[[[.,[.,.]],[[[.,.],[.,.]],.]],.]=>[2,1,4,6,5,7,3,8]=>[8,3,7,5,6,4,1,2]=>[7,8,2,6,4,5,3,1]=>[1,3,5,4,6,2,8,7]
[[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>[2,1,5,4,6,7,3,8]=>[8,3,7,6,4,5,1,2]=>[7,8,2,5,6,4,3,1]=>[1,3,4,6,5,2,8,7]
[[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[2,1,4,5,6,7,3,8]=>[8,3,7,6,5,4,1,2]=>[7,8,2,6,5,4,3,1]=>[1,3,4,5,6,2,8,7]
[[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[1,2,7,6,5,4,3,8]=>[8,3,4,5,6,7,2,1]=>[8,7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7,8]
[[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>[1,2,6,7,5,4,3,8]=>[8,3,4,5,7,6,2,1]=>[8,7,2,3,4,6,5,1]=>[1,5,6,4,3,2,7,8]
[[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[1,2,5,7,6,4,3,8]=>[8,3,4,6,7,5,2,1]=>[8,7,2,3,6,4,5,1]=>[1,5,4,6,3,2,7,8]
[[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>[1,2,6,5,7,4,3,8]=>[8,3,4,7,5,6,2,1]=>[8,7,2,3,5,6,4,1]=>[1,4,6,5,3,2,7,8]
[[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[1,2,5,6,7,4,3,8]=>[8,3,4,7,6,5,2,1]=>[8,7,2,3,6,5,4,1]=>[1,4,5,6,3,2,7,8]
[[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[1,2,4,7,6,5,3,8]=>[8,3,5,6,7,4,2,1]=>[8,7,2,6,3,4,5,1]=>[1,5,4,3,6,2,7,8]
[[[[.,.],.],[[.,.],[[.,.],.]]],.]=>[1,2,4,6,7,5,3,8]=>[8,3,5,7,6,4,2,1]=>[8,7,2,6,3,5,4,1]=>[1,4,5,3,6,2,7,8]
[[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[1,2,5,4,7,6,3,8]=>[8,3,6,7,4,5,2,1]=>[8,7,2,5,6,3,4,1]=>[1,4,3,6,5,2,7,8]
[[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[1,2,4,5,7,6,3,8]=>[8,3,6,7,5,4,2,1]=>[8,7,2,6,5,3,4,1]=>[1,4,3,5,6,2,7,8]
[[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>[1,2,6,5,4,7,3,8]=>[8,3,7,4,5,6,2,1]=>[8,7,2,4,5,6,3,1]=>[1,3,6,5,4,2,7,8]
[[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[1,2,5,6,4,7,3,8]=>[8,3,7,4,6,5,2,1]=>[8,7,2,4,6,5,3,1]=>[1,3,5,6,4,2,7,8]
[[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[1,2,4,6,5,7,3,8]=>[8,3,7,5,6,4,2,1]=>[8,7,2,6,4,5,3,1]=>[1,3,5,4,6,2,7,8]
[[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[1,2,5,4,6,7,3,8]=>[8,3,7,6,4,5,2,1]=>[8,7,2,5,6,4,3,1]=>[1,3,4,6,5,2,7,8]
[[[[.,.],.],[[[[.,.],.],.],.]],.]=>[1,2,4,5,6,7,3,8]=>[8,3,7,6,5,4,2,1]=>[8,7,2,6,5,4,3,1]=>[1,3,4,5,6,2,7,8]
[[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[3,2,1,7,6,5,4,8]=>[8,4,5,6,7,1,2,3]=>[6,7,8,2,3,4,5,1]=>[1,5,4,3,2,8,7,6]
[[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>[3,2,1,6,7,5,4,8]=>[8,4,5,7,6,1,2,3]=>[6,7,8,2,3,5,4,1]=>[1,4,5,3,2,8,7,6]
[[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[3,2,1,5,7,6,4,8]=>[8,4,6,7,5,1,2,3]=>[6,7,8,2,5,3,4,1]=>[1,4,3,5,2,8,7,6]
[[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>[3,2,1,6,5,7,4,8]=>[8,4,7,5,6,1,2,3]=>[6,7,8,2,4,5,3,1]=>[1,3,5,4,2,8,7,6]
[[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[3,2,1,5,6,7,4,8]=>[8,4,7,6,5,1,2,3]=>[6,7,8,2,5,4,3,1]=>[1,3,4,5,2,8,7,6]
[[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[2,3,1,7,6,5,4,8]=>[8,4,5,6,7,1,3,2]=>[6,8,7,2,3,4,5,1]=>[1,5,4,3,2,7,8,6]
[[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>[2,3,1,6,7,5,4,8]=>[8,4,5,7,6,1,3,2]=>[6,8,7,2,3,5,4,1]=>[1,4,5,3,2,7,8,6]
[[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[2,3,1,5,7,6,4,8]=>[8,4,6,7,5,1,3,2]=>[6,8,7,2,5,3,4,1]=>[1,4,3,5,2,7,8,6]
[[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[2,3,1,6,5,7,4,8]=>[8,4,7,5,6,1,3,2]=>[6,8,7,2,4,5,3,1]=>[1,3,5,4,2,7,8,6]
[[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[2,3,1,5,6,7,4,8]=>[8,4,7,6,5,1,3,2]=>[6,8,7,2,5,4,3,1]=>[1,3,4,5,2,7,8,6]
[[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[1,3,2,7,6,5,4,8]=>[8,4,5,6,7,2,3,1]=>[8,6,7,2,3,4,5,1]=>[1,5,4,3,2,7,6,8]
[[[[.,.],[.,.]],[.,[[.,.],.]]],.]=>[1,3,2,6,7,5,4,8]=>[8,4,5,7,6,2,3,1]=>[8,6,7,2,3,5,4,1]=>[1,4,5,3,2,7,6,8]
[[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[1,3,2,5,7,6,4,8]=>[8,4,6,7,5,2,3,1]=>[8,6,7,2,5,3,4,1]=>[1,4,3,5,2,7,6,8]
[[[[.,.],[.,.]],[[.,[.,.]],.]],.]=>[1,3,2,6,5,7,4,8]=>[8,4,7,5,6,2,3,1]=>[8,6,7,2,4,5,3,1]=>[1,3,5,4,2,7,6,8]
[[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[1,3,2,5,6,7,4,8]=>[8,4,7,6,5,2,3,1]=>[8,6,7,2,5,4,3,1]=>[1,3,4,5,2,7,6,8]
[[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[2,1,3,7,6,5,4,8]=>[8,4,5,6,7,3,1,2]=>[7,8,6,2,3,4,5,1]=>[1,5,4,3,2,6,8,7]
[[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>[2,1,3,6,7,5,4,8]=>[8,4,5,7,6,3,1,2]=>[7,8,6,2,3,5,4,1]=>[1,4,5,3,2,6,8,7]
[[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>[2,1,3,5,7,6,4,8]=>[8,4,6,7,5,3,1,2]=>[7,8,6,2,5,3,4,1]=>[1,4,3,5,2,6,8,7]
[[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>[2,1,3,6,5,7,4,8]=>[8,4,7,5,6,3,1,2]=>[7,8,6,2,4,5,3,1]=>[1,3,5,4,2,6,8,7]
[[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[2,1,3,5,6,7,4,8]=>[8,4,7,6,5,3,1,2]=>[7,8,6,2,5,4,3,1]=>[1,3,4,5,2,6,8,7]
[[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[1,2,3,7,6,5,4,8]=>[8,4,5,6,7,3,2,1]=>[8,7,6,2,3,4,5,1]=>[1,5,4,3,2,6,7,8]
[[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[1,2,3,6,7,5,4,8]=>[8,4,5,7,6,3,2,1]=>[8,7,6,2,3,5,4,1]=>[1,4,5,3,2,6,7,8]
[[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[1,2,3,5,7,6,4,8]=>[8,4,6,7,5,3,2,1]=>[8,7,6,2,5,3,4,1]=>[1,4,3,5,2,6,7,8]
[[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[1,2,3,6,5,7,4,8]=>[8,4,7,5,6,3,2,1]=>[8,7,6,2,4,5,3,1]=>[1,3,5,4,2,6,7,8]
[[[[[.,.],.],.],[[[.,.],.],.]],.]=>[1,2,3,5,6,7,4,8]=>[8,4,7,6,5,3,2,1]=>[8,7,6,2,5,4,3,1]=>[1,3,4,5,2,6,7,8]
[[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[4,3,2,1,7,6,5,8]=>[8,5,6,7,1,2,3,4]=>[5,6,7,8,2,3,4,1]=>[1,4,3,2,8,7,6,5]
[[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[4,3,2,1,6,7,5,8]=>[8,5,7,6,1,2,3,4]=>[5,6,7,8,2,4,3,1]=>[1,3,4,2,8,7,6,5]
[[[.,[.,[[.,.],.]]],[.,[.,.]]],.]=>[3,4,2,1,7,6,5,8]=>[8,5,6,7,1,2,4,3]=>[5,6,8,7,2,3,4,1]=>[1,4,3,2,7,8,6,5]
[[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>[3,4,2,1,6,7,5,8]=>[8,5,7,6,1,2,4,3]=>[5,6,8,7,2,4,3,1]=>[1,3,4,2,7,8,6,5]
[[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>[2,4,3,1,7,6,5,8]=>[8,5,6,7,1,3,4,2]=>[5,8,6,7,2,3,4,1]=>[1,4,3,2,7,6,8,5]
[[[.,[[.,.],[.,.]]],[[.,.],.]],.]=>[2,4,3,1,6,7,5,8]=>[8,5,7,6,1,3,4,2]=>[5,8,6,7,2,4,3,1]=>[1,3,4,2,7,6,8,5]
[[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[3,2,4,1,7,6,5,8]=>[8,5,6,7,1,4,2,3]=>[5,7,8,6,2,3,4,1]=>[1,4,3,2,6,8,7,5]
[[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>[3,2,4,1,6,7,5,8]=>[8,5,7,6,1,4,2,3]=>[5,7,8,6,2,4,3,1]=>[1,3,4,2,6,8,7,5]
[[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[2,3,4,1,7,6,5,8]=>[8,5,6,7,1,4,3,2]=>[5,8,7,6,2,3,4,1]=>[1,4,3,2,6,7,8,5]
[[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[2,3,4,1,6,7,5,8]=>[8,5,7,6,1,4,3,2]=>[5,8,7,6,2,4,3,1]=>[1,3,4,2,6,7,8,5]
[[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[8,5,6,7,2,3,4,1]=>[1,4,3,2,7,6,5,8]
[[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[1,4,3,2,6,7,5,8]=>[8,5,7,6,2,3,4,1]=>[8,5,6,7,2,4,3,1]=>[1,3,4,2,7,6,5,8]
[[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>[1,3,4,2,7,6,5,8]=>[8,5,6,7,2,4,3,1]=>[8,5,7,6,2,3,4,1]=>[1,4,3,2,6,7,5,8]
[[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>[8,5,7,6,2,4,3,1]=>[1,3,4,2,6,7,5,8]
[[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[2,1,4,3,7,6,5,8]=>[8,5,6,7,3,4,1,2]=>[7,8,5,6,2,3,4,1]=>[1,4,3,2,6,5,8,7]
[[[[.,[.,.]],[.,.]],[[.,.],.]],.]=>[2,1,4,3,6,7,5,8]=>[8,5,7,6,3,4,1,2]=>[7,8,5,6,2,4,3,1]=>[1,3,4,2,6,5,8,7]
[[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[1,2,4,3,7,6,5,8]=>[8,5,6,7,3,4,2,1]=>[8,7,5,6,2,3,4,1]=>[1,4,3,2,6,5,7,8]
[[[[[.,.],.],[.,.]],[[.,.],.]],.]=>[1,2,4,3,6,7,5,8]=>[8,5,7,6,3,4,2,1]=>[8,7,5,6,2,4,3,1]=>[1,3,4,2,6,5,7,8]
[[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[3,2,1,4,7,6,5,8]=>[8,5,6,7,4,1,2,3]=>[6,7,8,5,2,3,4,1]=>[1,4,3,2,5,8,7,6]
[[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[2,3,1,4,6,7,5,8]=>[8,5,7,6,4,1,3,2]=>[6,8,7,5,2,4,3,1]=>[1,3,4,2,5,7,8,6]
[[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[1,3,2,4,7,6,5,8]=>[8,5,6,7,4,2,3,1]=>[8,6,7,5,2,3,4,1]=>[1,4,3,2,5,7,6,8]
[[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[1,3,2,4,6,7,5,8]=>[8,5,7,6,4,2,3,1]=>[8,6,7,5,2,4,3,1]=>[1,3,4,2,5,7,6,8]
[[[[[.,[.,.]],.],.],[[.,.],.]],.]=>[2,1,3,4,6,7,5,8]=>[8,5,7,6,4,3,1,2]=>[7,8,6,5,2,4,3,1]=>[1,3,4,2,5,6,8,7]
[[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[1,2,3,4,7,6,5,8]=>[8,5,6,7,4,3,2,1]=>[8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8]
[[[[[[.,.],.],.],.],[[.,.],.]],.]=>[1,2,3,4,6,7,5,8]=>[8,5,7,6,4,3,2,1]=>[8,7,6,5,2,4,3,1]=>[1,3,4,2,5,6,7,8]
[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[5,4,3,2,1,7,6,8]=>[8,6,7,1,2,3,4,5]=>[4,5,6,7,8,2,3,1]=>[1,3,2,8,7,6,5,4]
[[[.,[.,[.,[[.,.],.]]]],[.,.]],.]=>[4,5,3,2,1,7,6,8]=>[8,6,7,1,2,3,5,4]=>[4,5,6,8,7,2,3,1]=>[1,3,2,7,8,6,5,4]
[[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>[3,5,4,2,1,7,6,8]=>[8,6,7,1,2,4,5,3]=>[4,5,8,6,7,2,3,1]=>[1,3,2,7,6,8,5,4]
[[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>[4,3,5,2,1,7,6,8]=>[8,6,7,1,2,5,3,4]=>[4,5,7,8,6,2,3,1]=>[1,3,2,6,8,7,5,4]
[[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>[3,4,5,2,1,7,6,8]=>[8,6,7,1,2,5,4,3]=>[4,5,8,7,6,2,3,1]=>[1,3,2,6,7,8,5,4]
[[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>[2,4,5,3,1,7,6,8]=>[8,6,7,1,3,5,4,2]=>[4,8,5,7,6,2,3,1]=>[1,3,2,6,7,5,8,4]
[[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[3,2,5,4,1,7,6,8]=>[8,6,7,1,4,5,2,3]=>[4,7,8,5,6,2,3,1]=>[1,3,2,6,5,8,7,4]
[[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[2,3,5,4,1,7,6,8]=>[8,6,7,1,4,5,3,2]=>[4,8,7,5,6,2,3,1]=>[1,3,2,6,5,7,8,4]
[[[.,[[.,[.,[.,.]]],.]],[.,.]],.]=>[4,3,2,5,1,7,6,8]=>[8,6,7,1,5,2,3,4]=>[4,6,7,8,5,2,3,1]=>[1,3,2,5,8,7,6,4]
[[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>[3,4,2,5,1,7,6,8]=>[8,6,7,1,5,2,4,3]=>[4,6,8,7,5,2,3,1]=>[1,3,2,5,7,8,6,4]
[[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>[2,4,3,5,1,7,6,8]=>[8,6,7,1,5,3,4,2]=>[4,8,6,7,5,2,3,1]=>[1,3,2,5,7,6,8,4]
[[[.,[[[.,[.,.]],.],.]],[.,.]],.]=>[3,2,4,5,1,7,6,8]=>[8,6,7,1,5,4,2,3]=>[4,7,8,6,5,2,3,1]=>[1,3,2,5,6,8,7,4]
[[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[2,3,4,5,1,7,6,8]=>[8,6,7,1,5,4,3,2]=>[4,8,7,6,5,2,3,1]=>[1,3,2,5,6,7,8,4]
[[[[.,.],[.,[.,[.,.]]]],[.,.]],.]=>[1,5,4,3,2,7,6,8]=>[8,6,7,2,3,4,5,1]=>[8,4,5,6,7,2,3,1]=>[1,3,2,7,6,5,4,8]
[[[[.,.],[.,[[.,.],.]]],[.,.]],.]=>[1,4,5,3,2,7,6,8]=>[8,6,7,2,3,5,4,1]=>[8,4,5,7,6,2,3,1]=>[1,3,2,6,7,5,4,8]
[[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[1,3,5,4,2,7,6,8]=>[8,6,7,2,4,5,3,1]=>[8,4,7,5,6,2,3,1]=>[1,3,2,6,5,7,4,8]
[[[[.,.],[[.,[.,.]],.]],[.,.]],.]=>[1,4,3,5,2,7,6,8]=>[8,6,7,2,5,3,4,1]=>[8,4,6,7,5,2,3,1]=>[1,3,2,5,7,6,4,8]
[[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[1,3,4,5,2,7,6,8]=>[8,6,7,2,5,4,3,1]=>[8,4,7,6,5,2,3,1]=>[1,3,2,5,6,7,4,8]
[[[[.,[.,.]],[.,[.,.]]],[.,.]],.]=>[2,1,5,4,3,7,6,8]=>[8,6,7,3,4,5,1,2]=>[7,8,4,5,6,2,3,1]=>[1,3,2,6,5,4,8,7]
[[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[2,1,4,5,3,7,6,8]=>[8,6,7,3,5,4,1,2]=>[7,8,4,6,5,2,3,1]=>[1,3,2,5,6,4,8,7]
[[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[1,2,5,4,3,7,6,8]=>[8,6,7,3,4,5,2,1]=>[8,7,4,5,6,2,3,1]=>[1,3,2,6,5,4,7,8]
[[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[1,2,4,5,3,7,6,8]=>[8,6,7,3,5,4,2,1]=>[8,7,4,6,5,2,3,1]=>[1,3,2,5,6,4,7,8]
[[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[3,2,1,5,4,7,6,8]=>[8,6,7,4,5,1,2,3]=>[6,7,8,4,5,2,3,1]=>[1,3,2,5,4,8,7,6]
[[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[2,3,1,5,4,7,6,8]=>[8,6,7,4,5,1,3,2]=>[6,8,7,4,5,2,3,1]=>[1,3,2,5,4,7,8,6]
[[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[1,3,2,5,4,7,6,8]=>[8,6,7,4,5,2,3,1]=>[8,6,7,4,5,2,3,1]=>[1,3,2,5,4,7,6,8]
[[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[2,1,3,5,4,7,6,8]=>[8,6,7,4,5,3,1,2]=>[7,8,6,4,5,2,3,1]=>[1,3,2,5,4,6,8,7]
[[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>[8,7,6,4,5,2,3,1]=>[1,3,2,5,4,6,7,8]
[[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[4,3,2,1,5,7,6,8]=>[8,6,7,5,1,2,3,4]=>[5,6,7,8,4,2,3,1]=>[1,3,2,4,8,7,6,5]
[[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>[3,4,2,1,5,7,6,8]=>[8,6,7,5,1,2,4,3]=>[5,6,8,7,4,2,3,1]=>[1,3,2,4,7,8,6,5]
[[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>[2,4,3,1,5,7,6,8]=>[8,6,7,5,1,3,4,2]=>[5,8,6,7,4,2,3,1]=>[1,3,2,4,7,6,8,5]
[[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>[3,2,4,1,5,7,6,8]=>[8,6,7,5,1,4,2,3]=>[5,7,8,6,4,2,3,1]=>[1,3,2,4,6,8,7,5]
[[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[2,3,4,1,5,7,6,8]=>[8,6,7,5,1,4,3,2]=>[5,8,7,6,4,2,3,1]=>[1,3,2,4,6,7,8,5]
[[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[1,4,3,2,5,7,6,8]=>[8,6,7,5,2,3,4,1]=>[8,5,6,7,4,2,3,1]=>[1,3,2,4,7,6,5,8]
[[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[1,3,4,2,5,7,6,8]=>[8,6,7,5,2,4,3,1]=>[8,5,7,6,4,2,3,1]=>[1,3,2,4,6,7,5,8]
[[[[[.,[.,.]],[.,.]],.],[.,.]],.]=>[2,1,4,3,5,7,6,8]=>[8,6,7,5,3,4,1,2]=>[7,8,5,6,4,2,3,1]=>[1,3,2,4,6,5,8,7]
[[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[1,2,4,3,5,7,6,8]=>[8,6,7,5,3,4,2,1]=>[8,7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7,8]
[[[[[.,[.,[.,.]]],.],.],[.,.]],.]=>[3,2,1,4,5,7,6,8]=>[8,6,7,5,4,1,2,3]=>[6,7,8,5,4,2,3,1]=>[1,3,2,4,5,8,7,6]
[[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[2,3,1,4,5,7,6,8]=>[8,6,7,5,4,1,3,2]=>[6,8,7,5,4,2,3,1]=>[1,3,2,4,5,7,8,6]
[[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>[1,3,2,4,5,7,6,8]
[[[[[[.,[.,.]],.],.],.],[.,.]],.]=>[2,1,3,4,5,7,6,8]=>[8,6,7,5,4,3,1,2]=>[7,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,7]
[[[[[[[.,.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,7,6,8]=>[8,6,7,5,4,3,2,1]=>[8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8]
[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3]
[[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>[5,6,4,3,2,1,7,8]=>[8,7,1,2,3,4,6,5]=>[3,4,5,6,8,7,2,1]=>[1,2,7,8,6,5,4,3]
[[[.,[.,[.,[[.,.],[.,.]]]]],.],.]=>[4,6,5,3,2,1,7,8]=>[8,7,1,2,3,5,6,4]=>[3,4,5,8,6,7,2,1]=>[1,2,7,6,8,5,4,3]
[[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>[5,4,6,3,2,1,7,8]=>[8,7,1,2,3,6,4,5]=>[3,4,5,7,8,6,2,1]=>[1,2,6,8,7,5,4,3]
[[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[8,7,1,2,3,6,5,4]=>[3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]
[[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[3,6,5,4,2,1,7,8]=>[8,7,1,2,4,5,6,3]=>[3,4,8,5,6,7,2,1]=>[1,2,7,6,5,8,4,3]
[[[.,[.,[[.,.],[[.,.],.]]]],.],.]=>[3,5,6,4,2,1,7,8]=>[8,7,1,2,4,6,5,3]=>[3,4,8,5,7,6,2,1]=>[1,2,6,7,5,8,4,3]
[[[.,[.,[[[.,.],.],[.,.]]]],.],.]=>[3,4,6,5,2,1,7,8]=>[8,7,1,2,5,6,4,3]=>[3,4,8,7,5,6,2,1]=>[1,2,6,5,7,8,4,3]
[[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>[5,4,3,6,2,1,7,8]=>[8,7,1,2,6,3,4,5]=>[3,4,6,7,8,5,2,1]=>[1,2,5,8,7,6,4,3]
[[[.,[.,[[.,[[.,.],.]],.]]],.],.]=>[4,5,3,6,2,1,7,8]=>[8,7,1,2,6,3,5,4]=>[3,4,6,8,7,5,2,1]=>[1,2,5,7,8,6,4,3]
[[[.,[.,[[[.,[.,.]],.],.]]],.],.]=>[4,3,5,6,2,1,7,8]=>[8,7,1,2,6,5,3,4]=>[3,4,7,8,6,5,2,1]=>[1,2,5,6,8,7,4,3]
[[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[8,7,1,2,6,5,4,3]=>[3,4,8,7,6,5,2,1]=>[1,2,5,6,7,8,4,3]
[[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>[2,4,6,5,3,1,7,8]=>[8,7,1,3,5,6,4,2]=>[3,8,4,7,5,6,2,1]=>[1,2,6,5,7,4,8,3]
[[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>[2,5,4,6,3,1,7,8]=>[8,7,1,3,6,4,5,2]=>[3,8,4,6,7,5,2,1]=>[1,2,5,7,6,4,8,3]
[[[.,[[.,.],[[[.,.],.],.]]],.],.]=>[2,4,5,6,3,1,7,8]=>[8,7,1,3,6,5,4,2]=>[3,8,4,7,6,5,2,1]=>[1,2,5,6,7,4,8,3]
[[[.,[[.,[.,.]],[.,[.,.]]]],.],.]=>[3,2,6,5,4,1,7,8]=>[8,7,1,4,5,6,2,3]=>[3,7,8,4,5,6,2,1]=>[1,2,6,5,4,8,7,3]
[[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>[3,2,5,6,4,1,7,8]=>[8,7,1,4,6,5,2,3]=>[3,7,8,4,6,5,2,1]=>[1,2,5,6,4,8,7,3]
[[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[2,3,6,5,4,1,7,8]=>[8,7,1,4,5,6,3,2]=>[3,8,7,4,5,6,2,1]=>[1,2,6,5,4,7,8,3]
[[[.,[[[.,.],.],[[.,.],.]]],.],.]=>[2,3,5,6,4,1,7,8]=>[8,7,1,4,6,5,3,2]=>[3,8,7,4,6,5,2,1]=>[1,2,5,6,4,7,8,3]
[[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[4,3,2,6,5,1,7,8]=>[8,7,1,5,6,2,3,4]=>[3,6,7,8,4,5,2,1]=>[1,2,5,4,8,7,6,3]
[[[.,[[.,[[.,.],.]],[.,.]]],.],.]=>[3,4,2,6,5,1,7,8]=>[8,7,1,5,6,2,4,3]=>[3,6,8,7,4,5,2,1]=>[1,2,5,4,7,8,6,3]
[[[.,[[[.,.],[.,.]],[.,.]]],.],.]=>[2,4,3,6,5,1,7,8]=>[8,7,1,5,6,3,4,2]=>[3,8,6,7,4,5,2,1]=>[1,2,5,4,7,6,8,3]
[[[.,[[[[.,.],.],.],[.,.]]],.],.]=>[2,3,4,6,5,1,7,8]=>[8,7,1,5,6,4,3,2]=>[3,8,7,6,4,5,2,1]=>[1,2,5,4,6,7,8,3]
[[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[8,7,1,6,2,3,4,5]=>[3,5,6,7,8,4,2,1]=>[1,2,4,8,7,6,5,3]
[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[8,7,1,6,2,3,5,4]=>[3,5,6,8,7,4,2,1]=>[1,2,4,7,8,6,5,3]
[[[.,[[.,[[.,.],[.,.]]],.]],.],.]=>[3,5,4,2,6,1,7,8]=>[8,7,1,6,2,4,5,3]=>[3,5,8,6,7,4,2,1]=>[1,2,4,7,6,8,5,3]
[[[.,[[.,[[.,[.,.]],.]],.]],.],.]=>[4,3,5,2,6,1,7,8]=>[8,7,1,6,2,5,3,4]=>[3,5,7,8,6,4,2,1]=>[1,2,4,6,8,7,5,3]
[[[.,[[.,[[[.,.],.],.]],.]],.],.]=>[3,4,5,2,6,1,7,8]=>[8,7,1,6,2,5,4,3]=>[3,5,8,7,6,4,2,1]=>[1,2,4,6,7,8,5,3]
[[[.,[[[.,.],[.,[.,.]]],.]],.],.]=>[2,5,4,3,6,1,7,8]=>[8,7,1,6,3,4,5,2]=>[3,8,5,6,7,4,2,1]=>[1,2,4,7,6,5,8,3]
[[[.,[[[.,.],[[.,.],.]],.]],.],.]=>[2,4,5,3,6,1,7,8]=>[8,7,1,6,3,5,4,2]=>[3,8,5,7,6,4,2,1]=>[1,2,4,6,7,5,8,3]
[[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>[3,2,5,4,6,1,7,8]=>[8,7,1,6,4,5,2,3]=>[3,7,8,5,6,4,2,1]=>[1,2,4,6,5,8,7,3]
[[[.,[[[[.,.],.],[.,.]],.]],.],.]=>[2,3,5,4,6,1,7,8]=>[8,7,1,6,4,5,3,2]=>[3,8,7,5,6,4,2,1]=>[1,2,4,6,5,7,8,3]
[[[.,[[[.,[.,[.,.]]],.],.]],.],.]=>[4,3,2,5,6,1,7,8]=>[8,7,1,6,5,2,3,4]=>[3,6,7,8,5,4,2,1]=>[1,2,4,5,8,7,6,3]
[[[.,[[[.,[[.,.],.]],.],.]],.],.]=>[3,4,2,5,6,1,7,8]=>[8,7,1,6,5,2,4,3]=>[3,6,8,7,5,4,2,1]=>[1,2,4,5,7,8,6,3]
[[[.,[[[[.,.],[.,.]],.],.]],.],.]=>[2,4,3,5,6,1,7,8]=>[8,7,1,6,5,3,4,2]=>[3,8,6,7,5,4,2,1]=>[1,2,4,5,7,6,8,3]
[[[.,[[[[.,[.,.]],.],.],.]],.],.]=>[3,2,4,5,6,1,7,8]=>[8,7,1,6,5,4,2,3]=>[3,7,8,6,5,4,2,1]=>[1,2,4,5,6,8,7,3]
[[[.,[[[[[.,.],.],.],.],.]],.],.]=>[2,3,4,5,6,1,7,8]=>[8,7,1,6,5,4,3,2]=>[3,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,3]
[[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[1,6,5,4,3,2,7,8]=>[8,7,2,3,4,5,6,1]=>[8,3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3,8]
[[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[1,5,6,4,3,2,7,8]=>[8,7,2,3,4,6,5,1]=>[8,3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3,8]
[[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>[1,4,6,5,3,2,7,8]=>[8,7,2,3,5,6,4,1]=>[8,3,4,7,5,6,2,1]=>[1,2,6,5,7,4,3,8]
[[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[1,5,4,6,3,2,7,8]=>[8,7,2,3,6,4,5,1]=>[8,3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3,8]
[[[[.,.],[.,[[[.,.],.],.]]],.],.]=>[1,4,5,6,3,2,7,8]=>[8,7,2,3,6,5,4,1]=>[8,3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3,8]
[[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[1,3,6,5,4,2,7,8]=>[8,7,2,4,5,6,3,1]=>[8,3,7,4,5,6,2,1]=>[1,2,6,5,4,7,3,8]
[[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[1,3,5,6,4,2,7,8]=>[8,7,2,4,6,5,3,1]=>[8,3,7,4,6,5,2,1]=>[1,2,5,6,4,7,3,8]
[[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[1,4,3,6,5,2,7,8]=>[8,7,2,5,6,3,4,1]=>[8,3,6,7,4,5,2,1]=>[1,2,5,4,7,6,3,8]
[[[[.,.],[[[.,.],.],[.,.]]],.],.]=>[1,3,4,6,5,2,7,8]=>[8,7,2,5,6,4,3,1]=>[8,3,7,6,4,5,2,1]=>[1,2,5,4,6,7,3,8]
[[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[1,5,4,3,6,2,7,8]=>[8,7,2,6,3,4,5,1]=>[8,3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3,8]
[[[[.,.],[[.,[[.,.],.]],.]],.],.]=>[1,4,5,3,6,2,7,8]=>[8,7,2,6,3,5,4,1]=>[8,3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3,8]
[[[[.,.],[[[.,.],[.,.]],.]],.],.]=>[1,3,5,4,6,2,7,8]=>[8,7,2,6,4,5,3,1]=>[8,3,7,5,6,4,2,1]=>[1,2,4,6,5,7,3,8]
[[[[.,.],[[[.,[.,.]],.],.]],.],.]=>[1,4,3,5,6,2,7,8]=>[8,7,2,6,5,3,4,1]=>[8,3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3,8]
[[[[.,.],[[[[.,.],.],.],.]],.],.]=>[1,3,4,5,6,2,7,8]=>[8,7,2,6,5,4,3,1]=>[8,3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3,8]
[[[[.,[.,.]],[.,[.,[.,.]]]],.],.]=>[2,1,6,5,4,3,7,8]=>[8,7,3,4,5,6,1,2]=>[7,8,3,4,5,6,2,1]=>[1,2,6,5,4,3,8,7]
[[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[2,1,5,6,4,3,7,8]=>[8,7,3,4,6,5,1,2]=>[7,8,3,4,6,5,2,1]=>[1,2,5,6,4,3,8,7]
[[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[2,1,4,6,5,3,7,8]=>[8,7,3,5,6,4,1,2]=>[7,8,3,6,4,5,2,1]=>[1,2,5,4,6,3,8,7]
[[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[2,1,5,4,6,3,7,8]=>[8,7,3,6,4,5,1,2]=>[7,8,3,5,6,4,2,1]=>[1,2,4,6,5,3,8,7]
[[[[.,[.,.]],[[[.,.],.],.]],.],.]=>[2,1,4,5,6,3,7,8]=>[8,7,3,6,5,4,1,2]=>[7,8,3,6,5,4,2,1]=>[1,2,4,5,6,3,8,7]
[[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[1,2,6,5,4,3,7,8]=>[8,7,3,4,5,6,2,1]=>[8,7,3,4,5,6,2,1]=>[1,2,6,5,4,3,7,8]
[[[[[.,.],.],[.,[[.,.],.]]],.],.]=>[1,2,5,6,4,3,7,8]=>[8,7,3,4,6,5,2,1]=>[8,7,3,4,6,5,2,1]=>[1,2,5,6,4,3,7,8]
[[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[1,2,4,6,5,3,7,8]=>[8,7,3,5,6,4,2,1]=>[8,7,3,6,4,5,2,1]=>[1,2,5,4,6,3,7,8]
[[[[[.,.],.],[[.,[.,.]],.]],.],.]=>[1,2,5,4,6,3,7,8]=>[8,7,3,6,4,5,2,1]=>[8,7,3,5,6,4,2,1]=>[1,2,4,6,5,3,7,8]
[[[[[.,.],.],[[[.,.],.],.]],.],.]=>[1,2,4,5,6,3,7,8]=>[8,7,3,6,5,4,2,1]=>[8,7,3,6,5,4,2,1]=>[1,2,4,5,6,3,7,8]
[[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>[3,2,1,6,5,4,7,8]=>[8,7,4,5,6,1,2,3]=>[6,7,8,3,4,5,2,1]=>[1,2,5,4,3,8,7,6]
[[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[3,2,1,5,6,4,7,8]=>[8,7,4,6,5,1,2,3]=>[6,7,8,3,5,4,2,1]=>[1,2,4,5,3,8,7,6]
[[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>[2,3,1,6,5,4,7,8]=>[8,7,4,5,6,1,3,2]=>[6,8,7,3,4,5,2,1]=>[1,2,5,4,3,7,8,6]
[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[2,3,1,5,6,4,7,8]=>[8,7,4,6,5,1,3,2]=>[6,8,7,3,5,4,2,1]=>[1,2,4,5,3,7,8,6]
[[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>[1,3,2,6,5,4,7,8]=>[8,7,4,5,6,2,3,1]=>[8,6,7,3,4,5,2,1]=>[1,2,5,4,3,7,6,8]
[[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[1,3,2,5,6,4,7,8]=>[8,7,4,6,5,2,3,1]=>[8,6,7,3,5,4,2,1]=>[1,2,4,5,3,7,6,8]
[[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>[2,1,3,6,5,4,7,8]=>[8,7,4,5,6,3,1,2]=>[7,8,6,3,4,5,2,1]=>[1,2,5,4,3,6,8,7]
[[[[[.,[.,.]],.],[[.,.],.]],.],.]=>[2,1,3,5,6,4,7,8]=>[8,7,4,6,5,3,1,2]=>[7,8,6,3,5,4,2,1]=>[1,2,4,5,3,6,8,7]
[[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[1,2,3,6,5,4,7,8]=>[8,7,4,5,6,3,2,1]=>[8,7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7,8]
[[[[[[.,.],.],.],[[.,.],.]],.],.]=>[1,2,3,5,6,4,7,8]=>[8,7,4,6,5,3,2,1]=>[8,7,6,3,5,4,2,1]=>[1,2,4,5,3,6,7,8]
[[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[4,3,2,1,6,5,7,8]=>[8,7,5,6,1,2,3,4]=>[5,6,7,8,3,4,2,1]=>[1,2,4,3,8,7,6,5]
[[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>[3,4,2,1,6,5,7,8]=>[8,7,5,6,1,2,4,3]=>[5,6,8,7,3,4,2,1]=>[1,2,4,3,7,8,6,5]
[[[[.,[[.,.],[.,.]]],[.,.]],.],.]=>[2,4,3,1,6,5,7,8]=>[8,7,5,6,1,3,4,2]=>[5,8,6,7,3,4,2,1]=>[1,2,4,3,7,6,8,5]
[[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[3,2,4,1,6,5,7,8]=>[8,7,5,6,1,4,2,3]=>[5,7,8,6,3,4,2,1]=>[1,2,4,3,6,8,7,5]
[[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[2,3,4,1,6,5,7,8]=>[8,7,5,6,1,4,3,2]=>[5,8,7,6,3,4,2,1]=>[1,2,4,3,6,7,8,5]
[[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[1,4,3,2,6,5,7,8]=>[8,7,5,6,2,3,4,1]=>[8,5,6,7,3,4,2,1]=>[1,2,4,3,7,6,5,8]
[[[[[.,.],[[.,.],.]],[.,.]],.],.]=>[1,3,4,2,6,5,7,8]=>[8,7,5,6,2,4,3,1]=>[8,5,7,6,3,4,2,1]=>[1,2,4,3,6,7,5,8]
[[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[2,1,4,3,6,5,7,8]=>[8,7,5,6,3,4,1,2]=>[7,8,5,6,3,4,2,1]=>[1,2,4,3,6,5,8,7]
[[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1]=>[1,2,4,3,6,5,7,8]
[[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[3,2,1,4,6,5,7,8]=>[8,7,5,6,4,1,2,3]=>[6,7,8,5,3,4,2,1]=>[1,2,4,3,5,8,7,6]
[[[[[.,[[.,.],.]],.],[.,.]],.],.]=>[2,3,1,4,6,5,7,8]=>[8,7,5,6,4,1,3,2]=>[6,8,7,5,3,4,2,1]=>[1,2,4,3,5,7,8,6]
[[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[1,3,2,4,6,5,7,8]=>[8,7,5,6,4,2,3,1]=>[8,6,7,5,3,4,2,1]=>[1,2,4,3,5,7,6,8]
[[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[2,1,3,4,6,5,7,8]=>[8,7,5,6,4,3,1,2]=>[7,8,6,5,3,4,2,1]=>[1,2,4,3,5,6,8,7]
[[[[[[[.,.],.],.],.],[.,.]],.],.]=>[1,2,3,4,6,5,7,8]=>[8,7,5,6,4,3,2,1]=>[8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8]
[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[4,5,6,7,8,3,2,1]=>[1,2,3,8,7,6,5,4]
[[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[8,7,6,1,2,3,5,4]=>[4,5,6,8,7,3,2,1]=>[1,2,3,7,8,6,5,4]
[[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[3,5,4,2,1,6,7,8]=>[8,7,6,1,2,4,5,3]=>[4,5,8,6,7,3,2,1]=>[1,2,3,7,6,8,5,4]
[[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[8,7,6,1,2,5,3,4]=>[4,5,7,8,6,3,2,1]=>[1,2,3,6,8,7,5,4]
[[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[8,7,6,1,2,5,4,3]=>[4,5,8,7,6,3,2,1]=>[1,2,3,6,7,8,5,4]
[[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[2,5,4,3,1,6,7,8]=>[8,7,6,1,3,4,5,2]=>[4,8,5,6,7,3,2,1]=>[1,2,3,7,6,5,8,4]
[[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[2,4,5,3,1,6,7,8]=>[8,7,6,1,3,5,4,2]=>[4,8,5,7,6,3,2,1]=>[1,2,3,6,7,5,8,4]
[[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[3,2,5,4,1,6,7,8]=>[8,7,6,1,4,5,2,3]=>[4,7,8,5,6,3,2,1]=>[1,2,3,6,5,8,7,4]
[[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[2,3,5,4,1,6,7,8]=>[8,7,6,1,4,5,3,2]=>[4,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,4]
[[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[8,7,6,1,5,2,3,4]=>[4,6,7,8,5,3,2,1]=>[1,2,3,5,8,7,6,4]
[[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[8,7,6,1,5,2,4,3]=>[4,6,8,7,5,3,2,1]=>[1,2,3,5,7,8,6,4]
[[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[2,4,3,5,1,6,7,8]=>[8,7,6,1,5,3,4,2]=>[4,8,6,7,5,3,2,1]=>[1,2,3,5,7,6,8,4]
[[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[8,7,6,1,5,4,2,3]=>[4,7,8,6,5,3,2,1]=>[1,2,3,5,6,8,7,4]
[[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>[4,8,7,6,5,3,2,1]=>[1,2,3,5,6,7,8,4]
[[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[1,5,4,3,2,6,7,8]=>[8,7,6,2,3,4,5,1]=>[8,4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4,8]
[[[[[.,.],[.,[[.,.],.]]],.],.],.]=>[1,4,5,3,2,6,7,8]=>[8,7,6,2,3,5,4,1]=>[8,4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4,8]
[[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[1,3,5,4,2,6,7,8]=>[8,7,6,2,4,5,3,1]=>[8,4,7,5,6,3,2,1]=>[1,2,3,6,5,7,4,8]
[[[[[.,.],[[.,[.,.]],.]],.],.],.]=>[1,4,3,5,2,6,7,8]=>[8,7,6,2,5,3,4,1]=>[8,4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4,8]
[[[[[.,.],[[[.,.],.],.]],.],.],.]=>[1,3,4,5,2,6,7,8]=>[8,7,6,2,5,4,3,1]=>[8,4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4,8]
[[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[2,1,5,4,3,6,7,8]=>[8,7,6,3,4,5,1,2]=>[7,8,4,5,6,3,2,1]=>[1,2,3,6,5,4,8,7]
[[[[[.,[.,.]],[[.,.],.]],.],.],.]=>[2,1,4,5,3,6,7,8]=>[8,7,6,3,5,4,1,2]=>[7,8,4,6,5,3,2,1]=>[1,2,3,5,6,4,8,7]
[[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[1,2,5,4,3,6,7,8]=>[8,7,6,3,4,5,2,1]=>[8,7,4,5,6,3,2,1]=>[1,2,3,6,5,4,7,8]
[[[[[[.,.],.],[[.,.],.]],.],.],.]=>[1,2,4,5,3,6,7,8]=>[8,7,6,3,5,4,2,1]=>[8,7,4,6,5,3,2,1]=>[1,2,3,5,6,4,7,8]
[[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[3,2,1,5,4,6,7,8]=>[8,7,6,4,5,1,2,3]=>[6,7,8,4,5,3,2,1]=>[1,2,3,5,4,8,7,6]
[[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[2,3,1,5,4,6,7,8]=>[8,7,6,4,5,1,3,2]=>[6,8,7,4,5,3,2,1]=>[1,2,3,5,4,7,8,6]
[[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>[8,6,7,4,5,3,2,1]=>[1,2,3,5,4,7,6,8]
[[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[2,1,3,5,4,6,7,8]=>[8,7,6,4,5,3,1,2]=>[7,8,6,4,5,3,2,1]=>[1,2,3,5,4,6,8,7]
[[[[[[[.,.],.],.],[.,.]],.],.],.]=>[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8]
[[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]
[[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[8,7,6,5,1,2,4,3]=>[5,6,8,7,4,3,2,1]=>[1,2,3,4,7,8,6,5]
[[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[2,4,3,1,5,6,7,8]=>[8,7,6,5,1,3,4,2]=>[5,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,5]
[[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[8,7,6,5,1,4,2,3]=>[5,7,8,6,4,3,2,1]=>[1,2,3,4,6,8,7,5]
[[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[8,7,6,5,1,4,3,2]=>[5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]
[[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[1,4,3,2,5,6,7,8]=>[8,7,6,5,2,3,4,1]=>[8,5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5,8]
[[[[[[.,.],[[.,.],.]],.],.],.],.]=>[1,3,4,2,5,6,7,8]=>[8,7,6,5,2,4,3,1]=>[8,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,8]
[[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]=>[7,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,7]
[[[[[[[.,.],.],[.,.]],.],.],.],.]=>[1,2,4,3,5,6,7,8]=>[8,7,6,5,3,4,2,1]=>[8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8]
[[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]
[[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[8,7,6,5,4,1,3,2]=>[6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]
[[[[[[[.,.],[.,.]],.],.],.],.],.]=>[1,3,2,4,5,6,7,8]=>[8,7,6,5,4,2,3,1]=>[8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8]
[[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>[7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7]
[[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]
[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[9,8,7,6,5,4,3,2,1]=>[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]
[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[8,9,7,6,5,4,3,2,1]=>[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]
[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>[7,8,9,6,5,4,3,2,1]=>[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]
[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]=>[6,7,8,9,5,4,3,2,1]=>[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]
[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]=>[5,6,7,8,9,4,3,2,1]=>[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]
[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]=>[4,5,6,7,8,9,3,2,1]=>[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]
[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,2,1]=>[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]
[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,1]=>[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]
[[[[[[[[[.,.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9]=>[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]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[10,9,8,7,6,5,4,3,2,1]=>[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]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>[9,10,8,7,6,5,4,3,2,1]=>[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]
[.,[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]]=>[7,9,8,6,5,4,3,2,1]=>[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]
[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]=>[8,9,10,7,6,5,4,3,2,1]=>[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]
[.,[.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]]=>[6,8,9,7,5,4,3,2,1]=>[1,2,3,4,5,7,9,8,6]=>[1,2,3,4,5,9,6,8,7]=>[7,8,6,9,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[[[[.,.],.],.],.]]]]]]]=>[7,8,9,10,6,5,4,3,2,1]=>[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]
[.,[.,[.,[.,[[.,.],[[[.,.],.],.]]]]]]=>[5,7,8,9,6,4,3,2,1]=>[1,2,3,4,6,9,8,7,5]=>[1,2,3,4,9,5,8,7,6]=>[6,7,8,5,9,4,3,2,1]
[.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]=>[6,7,8,9,10,5,4,3,2,1]=>[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]
[.,[.,[.,[[.,.],[[[[.,.],.],.],.]]]]]=>[4,6,7,8,9,5,3,2,1]=>[1,2,3,5,9,8,7,6,4]=>[1,2,3,9,4,8,7,6,5]=>[5,6,7,8,4,9,3,2,1]
[.,[.,[.,[.,[[[[[[.,.],.],.],.],.],.]]]]]=>[5,6,7,8,9,10,4,3,2,1]=>[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]
[.,[.,[[.,.],[[[[[.,.],.],.],.],.]]]]=>[3,5,6,7,8,9,4,2,1]=>[1,2,4,9,8,7,6,5,3]=>[1,2,9,3,8,7,6,5,4]=>[4,5,6,7,8,3,9,2,1]
[.,[.,[.,[[[[[[[.,.],.],.],.],.],.],.]]]]=>[4,5,6,7,8,9,10,3,2,1]=>[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]
[.,[[.,.],[[[[[[.,.],.],.],.],.],.]]]=>[2,4,5,6,7,8,9,3,1]=>[1,3,9,8,7,6,5,4,2]=>[1,9,2,8,7,6,5,4,3]=>[3,4,5,6,7,8,2,9,1]
[.,[.,[[[[[[[[.,.],.],.],.],.],.],.],.]]]=>[3,4,5,6,7,8,9,10,2,1]=>[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]
[[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,9,2]=>[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]
[.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,1]=>[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]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10]=>[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]
[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[8,7,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,7,8]=>[1,2,3,4,5,6,8,9,7]=>[7,9,8,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]=>[8,7,6,9,5,4,3,2,1]=>[1,2,3,4,5,9,6,7,8]=>[1,2,3,4,5,7,8,9,6]=>[6,9,8,7,5,4,3,2,1]
[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]=>[8,7,6,5,9,4,3,2,1]=>[1,2,3,4,9,5,6,7,8]=>[1,2,3,4,6,7,8,9,5]=>[5,9,8,7,6,4,3,2,1]
[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]=>[8,7,6,5,4,9,3,2,1]=>[1,2,3,9,4,5,6,7,8]=>[1,2,3,5,6,7,8,9,4]=>[4,9,8,7,6,5,3,2,1]
[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]=>[8,7,6,5,4,3,9,2,1]=>[1,2,9,3,4,5,6,7,8]=>[1,2,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,2,1]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[8,7,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,7,8]=>[1,3,4,5,6,7,8,9,2]=>[2,9,8,7,6,5,4,3,1]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[8,7,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2]
[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>[9,8,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,8,9]=>[1,2,3,4,5,6,7,9,10,8]=>[8,10,9,7,6,5,4,3,2,1]
[.,[.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]]=>[6,8,7,9,5,4,3,2,1]=>[1,2,3,4,5,9,7,8,6]=>[1,2,3,4,5,9,7,8,6]=>[6,8,7,9,5,4,3,2,1]
[.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]=>[9,8,7,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,7,8,9]=>[1,2,3,4,5,6,8,9,10,7]=>[7,10,9,8,6,5,4,3,2,1]
[.,[.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]]=>[5,8,7,6,9,4,3,2,1]=>[1,2,3,4,9,6,7,8,5]=>[1,2,3,4,9,6,7,8,5]=>[5,8,7,6,9,4,3,2,1]
[.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]=>[9,8,7,6,10,5,4,3,2,1]=>[1,2,3,4,5,10,6,7,8,9]=>[1,2,3,4,5,7,8,9,10,6]=>[6,10,9,8,7,5,4,3,2,1]
[.,[.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]]=>[4,8,7,6,5,9,3,2,1]=>[1,2,3,9,5,6,7,8,4]=>[1,2,3,9,5,6,7,8,4]=>[4,8,7,6,5,9,3,2,1]
[.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]=>[9,8,7,6,5,10,4,3,2,1]=>[1,2,3,4,10,5,6,7,8,9]=>[1,2,3,4,6,7,8,9,10,5]=>[5,10,9,8,7,6,4,3,2,1]
[.,[.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]]=>[3,8,7,6,5,4,9,2,1]=>[1,2,9,4,5,6,7,8,3]=>[1,2,9,4,5,6,7,8,3]=>[3,8,7,6,5,4,9,2,1]
[.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]=>[9,8,7,6,5,4,10,3,2,1]=>[1,2,3,10,4,5,6,7,8,9]=>[1,2,3,5,6,7,8,9,10,4]=>[4,10,9,8,7,6,5,3,2,1]
[.,[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]]=>[2,8,7,6,5,4,3,9,1]=>[1,9,3,4,5,6,7,8,2]=>[1,9,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,9,1]
[.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]=>[9,8,7,6,5,4,3,10,2,1]=>[1,2,10,3,4,5,6,7,8,9]=>[1,2,4,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,4,2,1]
[[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[1,8,7,6,5,4,3,2,9]=>[9,2,3,4,5,6,7,8,1]=>[9,2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2,9]
[.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[9,8,7,6,5,4,3,2,10,1]=>[1,10,2,3,4,5,6,7,8,9]=>[1,3,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,3,1]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]=>[9,8,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,8,9]=>[2,3,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,3,2]
[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>[1,3,5,7,9,10,8,6,4,2]=>[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]
[[.,.],[[.,[[.,[[.,[[.,.],.]],.]],.]],.]]=>[1,6,7,5,8,4,9,3,10,2]=>[2,10,3,9,4,8,5,7,6,1]=>[10,1,3,5,7,9,8,6,4,2]=>[2,4,6,8,9,7,5,3,1,10]
[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]=>[5,6,4,7,3,8,2,9,1,10]=>[10,1,9,2,8,3,7,4,6,5]=>[2,4,6,8,10,9,7,5,3,1]=>[1,3,5,7,9,10,8,6,4,2]
[[.,.],[[.,[[.,.],[[.,[[.,.],[[.,.],.]]],.]]],.]]=>[1,4,7,9,10,8,6,11,5,3,12,2]=>[2,12,3,5,11,6,8,10,9,7,4,1]=>[12,1,3,11,4,6,10,7,9,8,5,2]=>[2,5,8,9,7,10,6,4,11,3,1,12]
[[.,[[.,.],[[.,[[.,.],[[.,[[.,.],.]],.]]],.]]],.]=>[2,5,8,9,7,10,6,4,11,3,1,12]=>[12,1,3,11,4,6,10,7,9,8,5,2]=>[2,12,3,5,11,6,8,10,9,7,4,1]=>[1,4,7,9,10,8,6,11,5,3,12,2]
[[.,[[.,[[.,[[.,[[.,[[.,.],.]],.]],.]],.]],.]],.]=>[6,7,5,8,4,9,3,10,2,11,1,12]=>[12,1,11,2,10,3,9,4,8,5,7,6]=>[2,4,6,8,10,12,11,9,7,5,3,1]=>[1,3,5,7,9,11,12,10,8,6,4,2]
[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]]=>[5,7,6,4,8,3,9,2,10,1]=>[1,10,2,9,3,8,4,6,7,5]=>[1,3,5,7,10,8,9,6,4,2]=>[2,4,6,9,8,10,7,5,3,1]
[.,[[[.,[[[.,.],[.,.]],[.,.]]],.],[.,.]]]=>[3,5,4,7,6,2,8,10,9,1]=>[1,9,10,8,2,6,7,4,5,3]=>[1,5,10,8,9,6,7,4,2,3]=>[3,2,4,7,6,9,8,10,5,1]
[.,[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,10,9,1]=>[1,9,10,7,8,5,6,3,4,2]=>[1,10,8,9,6,7,4,5,2,3]=>[3,2,5,4,7,6,9,8,10,1]
[[.,[[[[.,[.,.]],[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,9,8,1,10]=>[10,1,8,9,6,7,4,5,2,3]=>[2,9,10,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,10,9,2]
[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7,10,9]=>[9,10,7,8,5,6,3,4,1,2]=>[9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9]
[.,[[.,[[.,[[.,[[.,[[.,.],[.,.]]],.]],.]],.]],.]]=>[6,8,7,5,9,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,9,5,7,8,6]=>[1,3,5,7,9,12,10,11,8,6,4,2]=>[2,4,6,8,11,10,12,9,7,5,3,1]
[.,[[[[[[.,.],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,10,9,12,11,1]=>[1,11,12,9,10,7,8,5,6,3,4,2]=>[1,12,10,11,8,9,6,7,4,5,2,3]=>[3,2,5,4,7,6,9,8,11,10,12,1]
[[.,[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,9,8,11,10,1,12]=>[12,1,10,11,8,9,6,7,4,5,2,3]=>[2,11,12,9,10,7,8,5,6,3,4,1]=>[1,4,3,6,5,8,7,10,9,12,11,2]
[[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7,10,9,12,11]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[11,12,9,10,7,8,5,6,3,4,1,2]=>[2,1,4,3,6,5,8,7,10,9,12,11]
[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,9,8]=>[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]
[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,8,10,9]=>[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]
[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,7,9,8]=>[8,9,7,6,5,4,3,1,2]=>[8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8]
[.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,2,3]=>[1,8,9,7,6,5,4,3,2]=>[2,3,4,5,6,7,9,8,1]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,7,8,9,11,10]=>[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]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,3,1,2]=>[9,10,8,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,8,10,9]
[[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>[1,3,2,4,5,6,7,9,8]=>[8,9,7,6,5,4,2,3,1]=>[9,7,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,7,9]
[[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>[2,3,1,4,5,6,7,9,8]=>[8,9,7,6,5,4,1,3,2]=>[7,9,8,6,5,4,3,1,2]=>[2,1,3,4,5,6,8,9,7]
[.,[[[[[[[.,.],[.,.]],.],.],.],.],.]]=>[2,4,3,5,6,7,8,9,1]=>[1,9,8,7,6,5,3,4,2]=>[1,9,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,9,1]
[.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>[3,4,2,5,6,7,8,9,1]=>[1,9,8,7,6,5,2,4,3]=>[1,7,9,8,6,5,4,3,2]=>[2,3,4,5,6,8,9,7,1]
[.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,4,2,3]=>[1,9,10,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,10,9,1]
[.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,11,1]=>[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]
[[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,6,8,9,7]=>[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]
[[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,5,7,8,9,6]=>[6,9,8,7,5,4,3,2,1]=>[9,8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8,9]
[[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,4,6,7,8,9,5]=>[5,9,8,7,6,4,3,2,1]=>[9,8,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,8,9]
[[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>[1,2,3,5,6,7,8,9,4]=>[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]
[[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>[1,2,4,5,6,7,8,9,3]=>[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]
[[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,6,9,8,7]=>[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]
[[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,6,7,9,10,8]=>[8,10,9,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,8,9,10]
[[[[[[.,.],.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,5,8,7,9,6]=>[6,9,7,8,5,4,3,2,1]=>[9,8,7,6,5,1,3,4,2]=>[2,4,3,1,5,6,7,8,9]
[[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,5,6,8,9,10,7]=>[7,10,9,8,6,5,4,3,2,1]=>[10,9,8,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,8,9,10]
[[[[[.,.],.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,4,7,6,8,9,5]=>[5,9,8,6,7,4,3,2,1]=>[9,8,7,6,1,4,5,3,2]=>[2,3,5,4,1,6,7,8,9]
[[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,4,5,7,8,9,10,6]=>[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]
[[[[.,.],.],.],[[[[.,[.,.]],.],.],.]]=>[1,2,3,6,5,7,8,9,4]=>[4,9,8,7,5,6,3,2,1]=>[9,8,7,1,5,6,4,3,2]=>[2,3,4,6,5,1,7,8,9]
[[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[1,2,3,4,6,7,8,9,10,5]=>[5,10,9,8,7,6,4,3,2,1]=>[10,9,8,7,1,6,5,4,3,2]=>[2,3,4,5,6,1,7,8,9,10]
[[[.,.],.],[[[[[.,[.,.]],.],.],.],.]]=>[1,2,5,4,6,7,8,9,3]=>[3,9,8,7,6,4,5,2,1]=>[9,8,1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1,8,9]
[[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>[1,2,3,5,6,7,8,9,10,4]=>[4,10,9,8,7,6,5,3,2,1]=>[10,9,8,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,8,9,10]
[[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]=>[1,4,3,5,6,7,8,9,2]=>[2,9,8,7,6,5,3,4,1]=>[9,1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1,9]
[[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>[1,2,4,5,6,7,8,9,10,3]=>[3,10,9,8,7,6,5,4,2,1]=>[10,9,1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1,9,10]
[[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[1,3,4,5,6,7,8,9,10,2]=>[2,10,9,8,7,6,5,4,3,1]=>[10,1,9,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,9,1,10]
[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[1,9,8,7,6,5,4,3,2]=>[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]
[[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]=>[7,8,6,5,4,3,2,1,9]=>[9,1,2,3,4,5,6,8,7]=>[2,3,4,5,6,7,9,8,1]=>[1,8,9,7,6,5,4,3,2]
[[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[1,8,9,7,6,5,4,3,2]=>[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]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[1,10,9,8,7,6,5,4,3,2]=>[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]
[[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]=>[10,9,8,7,6,5,4,3,2,1,11]=>[11,1,2,3,4,5,6,7,8,9,10]=>[2,3,4,5,6,7,8,9,10,11,1]=>[1,11,10,9,8,7,6,5,4,3,2]
[[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]=>[8,9,7,6,5,4,3,2,1,10]=>[10,1,2,3,4,5,6,7,9,8]=>[2,3,4,5,6,7,8,10,9,1]=>[1,9,10,8,7,6,5,4,3,2]
[[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]=>[7,6,8,5,4,3,2,1,9]=>[9,1,2,3,4,5,8,6,7]=>[2,3,4,5,6,8,9,7,1]=>[1,7,9,8,6,5,4,3,2]
[[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[1,8,7,9,6,5,4,3,2]=>[2,3,4,5,6,9,7,8,1]=>[9,1,2,3,4,5,7,8,6]=>[6,8,7,5,4,3,2,1,9]
[[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[1,9,10,8,7,6,5,4,3,2]=>[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]
[[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[1,11,10,9,8,7,6,5,4,3,2]=>[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]
[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]]=>[6,5,7,4,8,3,9,2,10,1]=>[1,10,2,9,3,8,4,7,5,6]=>[1,3,5,7,9,10,8,6,4,2]=>[2,4,6,8,10,9,7,5,3,1]
[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],[.,.]]=>[5,4,6,3,7,2,8,1,10,9]=>[9,10,1,8,2,7,3,6,4,5]=>[3,5,7,9,10,8,6,4,1,2]=>[2,1,4,6,8,10,9,7,5,3]
[.,[[.,[[.,[[.,[[.,[[.,[.,.]],.]],.]],.]],.]],.]]=>[7,6,8,5,9,4,10,3,11,2,12,1]=>[1,12,2,11,3,10,4,9,5,8,6,7]=>[1,3,5,7,9,11,12,10,8,6,4,2]=>[2,4,6,8,10,12,11,9,7,5,3,1]
[.,[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]=>[2,4,6,9,8,10,7,5,3,1]=>[1,3,5,7,10,8,9,6,4,2]=>[1,10,2,9,3,8,4,6,7,5]=>[5,7,6,4,8,3,9,2,10,1]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,[.,.]],.]]]]]]=>[2,4,6,8,11,10,12,9,7,5,3,1]=>[1,3,5,7,9,12,10,11,8,6,4,2]=>[1,12,2,11,3,10,4,9,5,7,8,6]=>[6,8,7,5,9,4,10,3,11,2,12,1]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[2,1,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,1,2]=>[8,9,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,9,8]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,.]]]]]]=>[3,2,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,2,3]=>[7,8,9,1,2,3,4,5,6]=>[6,5,4,3,2,1,9,8,7]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,.]]]]]=>[4,3,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,3,4]=>[6,7,8,9,1,2,3,4,5]=>[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]=>[5,6,7,8,9,1,2,3,4]=>[4,3,2,1,9,8,7,6,5]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,.]]]=>[6,5,4,3,2,1,9,8,7]=>[7,8,9,1,2,3,4,5,6]=>[4,5,6,7,8,9,1,2,3]=>[3,2,1,9,8,7,6,5,4]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]=>[7,6,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,6,7]=>[3,4,5,6,7,8,9,1,2]=>[2,1,9,8,7,6,5,4,3]
[[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,2,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,2,1]=>[9,8,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,8,9]
[[.,[.,.]],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[2,1,10,9,8,7,6,5,4,3]=>[3,4,5,6,7,8,9,10,1,2]=>[9,10,1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1,10,9]
[[.,[[.,.],.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,3,1,9,8,7,6,5,4]=>[4,5,6,7,8,9,1,3,2]=>[7,9,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,9,7]
[[.,[.,[.,.]]],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[3,2,1,10,9,8,7,6,5,4]=>[4,5,6,7,8,9,10,1,2,3]=>[8,9,10,1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1,10,9,8]
[[.,[.,[[.,.],.]]],[.,[.,[.,[.,.]]]]]=>[3,4,2,1,9,8,7,6,5]=>[5,6,7,8,9,1,2,4,3]=>[6,7,9,8,1,2,3,4,5]=>[5,4,3,2,1,8,9,7,6]
[[.,[.,[.,[.,.]]]],[.,[.,[.,[.,[.,.]]]]]]=>[4,3,2,1,10,9,8,7,6,5]=>[5,6,7,8,9,10,1,2,3,4]=>[7,8,9,10,1,2,3,4,5,6]=>[6,5,4,3,2,1,10,9,8,7]
[[.,[.,[.,[.,[.,.]]]]],[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1,10,9,8,7,6]=>[6,7,8,9,10,1,2,3,4,5]=>[6,7,8,9,10,1,2,3,4,5]=>[5,4,3,2,1,10,9,8,7,6]
[[.,[.,[.,[.,[.,[.,.]]]]]],[.,[.,[.,.]]]]=>[6,5,4,3,2,1,10,9,8,7]=>[7,8,9,10,1,2,3,4,5,6]=>[5,6,7,8,9,10,1,2,3,4]=>[4,3,2,1,10,9,8,7,6,5]
[[.,[.,[.,[.,[.,[[.,.],.]]]]]],[.,.]]=>[6,7,5,4,3,2,1,9,8]=>[8,9,1,2,3,4,5,7,6]=>[3,4,5,6,7,9,8,1,2]=>[2,1,8,9,7,6,5,4,3]
[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,[.,.]]]=>[7,6,5,4,3,2,1,10,9,8]=>[8,9,10,1,2,3,4,5,6,7]=>[4,5,6,7,8,9,10,1,2,3]=>[3,2,1,10,9,8,7,6,5,4]
[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],[.,.]]=>[8,7,6,5,4,3,2,1,10,9]=>[9,10,1,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,10,1,2]=>[2,1,10,9,8,7,6,5,4,3]
[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[7,6,5,4,3,2,1,8,9]=>[9,8,1,2,3,4,5,6,7]=>[3,4,5,6,7,8,9,2,1]=>[1,2,9,8,7,6,5,4,3]
[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>[6,5,4,3,2,1,7,8,9]=>[9,8,7,1,2,3,4,5,6]=>[4,5,6,7,8,9,3,2,1]=>[1,2,3,9,8,7,6,5,4]
[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>[5,4,3,2,1,6,7,8,9]=>[9,8,7,6,1,2,3,4,5]=>[5,6,7,8,9,4,3,2,1]=>[1,2,3,4,9,8,7,6,5]
[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9]=>[9,8,7,6,5,1,2,3,4]=>[6,7,8,9,5,4,3,2,1]=>[1,2,3,4,5,9,8,7,6]
[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,2,3]=>[7,8,9,6,5,4,3,2,1]=>[1,2,3,4,5,6,9,8,7]
[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9]=>[9,8,7,6,5,4,3,1,2]=>[8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8]
[[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]=>[8,7,6,5,4,3,2,1,9,10]=>[10,9,1,2,3,4,5,6,7,8]=>[3,4,5,6,7,8,9,10,2,1]=>[1,2,10,9,8,7,6,5,4,3]
[[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]=>[7,6,5,4,3,2,1,8,9,10]=>[10,9,8,1,2,3,4,5,6,7]=>[4,5,6,7,8,9,10,3,2,1]=>[1,2,3,10,9,8,7,6,5,4]
[[[[.,.],[.,[.,[.,[.,[.,.]]]]]],.],.]=>[1,7,6,5,4,3,2,8,9]=>[9,8,2,3,4,5,6,7,1]=>[9,3,4,5,6,7,8,2,1]=>[1,2,8,7,6,5,4,3,9]
[[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]=>[6,5,4,3,2,1,7,8,9,10]=>[10,9,8,7,1,2,3,4,5,6]=>[5,6,7,8,9,10,4,3,2,1]=>[1,2,3,4,10,9,8,7,6,5]
[[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]=>[5,4,3,2,1,6,7,8,9,10]=>[10,9,8,7,6,1,2,3,4,5]=>[6,7,8,9,10,5,4,3,2,1]=>[1,2,3,4,5,10,9,8,7,6]
[[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9,10]=>[10,9,8,7,6,5,1,2,3,4]=>[7,8,9,10,6,5,4,3,2,1]=>[1,2,3,4,5,6,10,9,8,7]
[[[[[[[.,.],[.,[.,.]]],.],.],.],.],.]=>[1,4,3,2,5,6,7,8,9]=>[9,8,7,6,5,2,3,4,1]=>[9,6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6,9]
[[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,2,3]=>[8,9,10,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,10,9,8]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],.]=>[1,3,2,4,5,6,7,8,9]=>[9,8,7,6,5,4,2,3,1]=>[9,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,9]
[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,3,1,2]=>[9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9]
[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]]=>[4,9,8,7,6,5,3,2,1]=>[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]
[.,[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]]=>[3,9,8,7,6,5,4,2,1]=>[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]
[.,[[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[2,9,8,7,6,5,4,3,1]=>[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]
[.,[.,[.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]]]=>[6,10,9,8,7,5,4,3,2,1]=>[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]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]=>[2,4,6,8,10,9,7,5,3,1]=>[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]
[.,[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],[.,.]]]]]]]=>[2,4,6,8,10,12,11,9,7,5,3,1]=>[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]
[.,[[[[[[[.,.],.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,7,9,8,1]=>[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]
[[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,1,2]=>[10,11,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,11,10]
[[[[[[[.,[.,.]],.],.],.],.],[.,.]],.]=>[2,1,3,4,5,6,8,7,9]=>[9,7,8,6,5,4,3,1,2]=>[8,9,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,9,8]
[[[[[[.,[.,.]],.],.],.],.],[[.,.],.]]=>[2,1,3,4,5,6,8,9,7]=>[7,9,8,6,5,4,3,1,2]=>[8,9,7,6,5,4,1,3,2]=>[2,3,1,4,5,6,7,9,8]
[.,[[[[[[[[.,.],.],.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,7,8,10,9,1]=>[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]
[[[[[[[.,[.,.]],[.,.]],.],.],.],.],.]=>[2,1,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,1,2]=>[8,9,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,9,8]
[[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]],.]=>[6,5,4,3,2,1,8,7,9]=>[9,7,8,1,2,3,4,5,6]=>[4,5,6,7,8,9,2,3,1]=>[1,3,2,9,8,7,6,5,4]
[.,[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]]=>[7,8,6,9,5,4,3,2,1]=>[1,2,3,4,5,9,6,8,7]=>[1,2,3,4,5,7,9,8,6]=>[6,8,9,7,5,4,3,2,1]
[.,[.,[.,[.,[[.,[[[.,.],.],.]],.]]]]]=>[6,7,8,5,9,4,3,2,1]=>[1,2,3,4,9,5,8,7,6]=>[1,2,3,4,6,9,8,7,5]=>[5,7,8,9,6,4,3,2,1]
[.,[.,[.,[[.,[[[[.,.],.],.],.]],.]]]]=>[5,6,7,8,4,9,3,2,1]=>[1,2,3,9,4,8,7,6,5]=>[1,2,3,5,9,8,7,6,4]=>[4,6,7,8,9,5,3,2,1]
[.,[.,[[.,[[[[[.,.],.],.],.],.]],.]]]=>[4,5,6,7,8,3,9,2,1]=>[1,2,9,3,8,7,6,5,4]=>[1,2,4,9,8,7,6,5,3]=>[3,5,6,7,8,9,4,2,1]
[.,[[.,[[[[[[.,.],.],.],.],.],.]],.]]=>[3,4,5,6,7,8,2,9,1]=>[1,9,2,8,7,6,5,4,3]=>[1,3,9,8,7,6,5,4,2]=>[2,4,5,6,7,8,9,3,1]
[[.,[[[[[[[.,.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,1,9]=>[9,1,8,7,6,5,4,3,2]=>[2,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,2]
[[[[[[[.,[[.,.],.]],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9]=>[9,8,7,6,5,4,1,3,2]=>[7,9,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,9,7]
[[[.,[[[[[[.,.],.],.],.],.],.]],.],.]=>[2,3,4,5,6,7,1,8,9]=>[9,8,1,7,6,5,4,3,2]=>[3,9,8,7,6,5,4,2,1]=>[1,2,4,5,6,7,8,9,3]
[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,1,3,2]=>[8,10,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,10,8]
[[[[[[.,[[.,.],[.,.]]],.],.],.],.],.]=>[2,4,3,1,5,6,7,8,9]=>[9,8,7,6,5,1,3,4,2]=>[6,9,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,9,6]
[[[[[.,[[[.,.],.],[.,.]]],.],.],.],.]=>[2,3,5,4,1,6,7,8,9]=>[9,8,7,6,1,4,5,3,2]=>[5,9,8,6,7,4,3,2,1]=>[1,2,3,4,7,6,8,9,5]
[[[[.,[[[[.,.],.],.],[.,.]]],.],.],.]=>[2,3,4,6,5,1,7,8,9]=>[9,8,7,1,5,6,4,3,2]=>[4,9,8,7,5,6,3,2,1]=>[1,2,3,6,5,7,8,9,4]
[[[.,[[[[[.,.],.],.],.],[.,.]]],.],.]=>[2,3,4,5,7,6,1,8,9]=>[9,8,1,6,7,5,4,3,2]=>[3,9,8,7,6,4,5,2,1]=>[1,2,5,4,6,7,8,9,3]
[[.,[[[[[[.,.],.],.],.],.],[.,.]]],.]=>[2,3,4,5,6,8,7,1,9]=>[9,1,7,8,6,5,4,3,2]=>[2,9,8,7,6,5,3,4,1]=>[1,4,3,5,6,7,8,9,2]
[[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,9,1,10]=>[10,1,9,8,7,6,5,4,3,2]=>[2,10,9,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,9,10,2]
[[[[[[[[.,.],.],[.,.]],.],.],.],.],.]=>[1,2,4,3,5,6,7,8,9]=>[9,8,7,6,5,3,4,2,1]=>[9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9]
[[[[[[[[.,.],.],.],[.,.]],.],.],.],.]=>[1,2,3,5,4,6,7,8,9]=>[9,8,7,6,4,5,3,2,1]=>[9,8,7,5,6,4,3,2,1]=>[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]=>[9,8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8,9]
[[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>[1,2,3,4,5,7,6,8,9]=>[9,8,6,7,5,4,3,2,1]=>[9,8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8,9]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,8,7,9]=>[9,7,8,6,5,4,3,2,1]=>[9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9]
[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.]=>[1,3,2,4,5,6,7,8,9,10]=>[10,9,8,7,6,5,4,2,3,1]=>[10,8,9,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,9,8,10]
[[[[[[[[[.,.],.],[.,.]],.],.],.],.],.],.]=>[1,2,4,3,5,6,7,8,9,10]=>[10,9,8,7,6,5,3,4,2,1]=>[10,9,7,8,6,5,4,3,2,1]=>[1,2,3,4,5,6,8,7,9,10]
[[[[[[[[[.,.],.],.],[.,.]],.],.],.],.],.]=>[1,2,3,5,4,6,7,8,9,10]=>[10,9,8,7,6,4,5,3,2,1]=>[10,9,8,6,7,5,4,3,2,1]=>[1,2,3,4,5,7,6,8,9,10]
[[[[[[[[[.,.],.],.],.],[.,.]],.],.],.],.]=>[1,2,3,4,6,5,7,8,9,10]=>[10,9,8,7,5,6,4,3,2,1]=>[10,9,8,7,5,6,4,3,2,1]=>[1,2,3,4,6,5,7,8,9,10]
[[[[[[[[[.,.],.],.],.],.],[.,.]],.],.],.]=>[1,2,3,4,5,7,6,8,9,10]=>[10,9,8,6,7,5,4,3,2,1]=>[10,9,8,7,6,4,5,3,2,1]=>[1,2,3,5,4,6,7,8,9,10]
[[[[[[[[[.,.],.],.],.],.],.],[.,.]],.],.]=>[1,2,3,4,5,6,8,7,9,10]=>[10,9,7,8,6,5,4,3,2,1]=>[10,9,8,7,6,5,3,4,2,1]=>[1,2,4,3,5,6,7,8,9,10]
[[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,7,9,8,10]=>[10,8,9,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9,10]
[[.,.],[[[[[[.,.],.],.],.],.],[.,.]]]=>[1,3,4,5,6,7,9,8,2]=>[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]
[.,[[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]]=>[7,6,5,4,3,2,9,8,1]=>[1,8,9,2,3,4,5,6,7]=>[1,4,5,6,7,8,9,2,3]=>[3,2,9,8,7,6,5,4,1]
[.,[[[[[[.,[.,[.,.]]],.],.],.],.],.]]=>[4,3,2,5,6,7,8,9,1]=>[1,9,8,7,6,5,2,3,4]=>[1,7,8,9,6,5,4,3,2]=>[2,3,4,5,6,9,8,7,1]
[.,[[[[[.,[.,[.,[.,.]]]],.],.],.],.]]=>[5,4,3,2,6,7,8,9,1]=>[1,9,8,7,6,2,3,4,5]=>[1,6,7,8,9,5,4,3,2]=>[2,3,4,5,9,8,7,6,1]
[.,[[[[.,[.,[.,[.,[.,.]]]]],.],.],.]]=>[6,5,4,3,2,7,8,9,1]=>[1,9,8,7,2,3,4,5,6]=>[1,5,6,7,8,9,4,3,2]=>[2,3,4,9,8,7,6,5,1]
[.,[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]]=>[7,6,5,4,3,2,8,9,1]=>[1,9,8,2,3,4,5,6,7]=>[1,4,5,6,7,8,9,3,2]=>[2,3,9,8,7,6,5,4,1]
[.,[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]]=>[4,3,2,5,6,7,8,9,10,1]=>[1,10,9,8,7,6,5,2,3,4]=>[1,8,9,10,7,6,5,4,3,2]=>[2,3,4,5,6,7,10,9,8,1]
[.,[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]]=>[5,4,3,2,6,7,8,9,10,1]=>[1,10,9,8,7,6,2,3,4,5]=>[1,7,8,9,10,6,5,4,3,2]=>[2,3,4,5,6,10,9,8,7,1]
[.,[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]]=>[6,5,4,3,2,7,8,9,10,1]=>[1,10,9,8,7,2,3,4,5,6]=>[1,6,7,8,9,10,5,4,3,2]=>[2,3,4,5,10,9,8,7,6,1]
[.,[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]]=>[7,6,5,4,3,2,8,9,10,1]=>[1,10,9,8,2,3,4,5,6,7]=>[1,5,6,7,8,9,10,4,3,2]=>[2,3,4,10,9,8,7,6,5,1]
[.,[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]]=>[8,7,6,5,4,3,2,9,10,1]=>[1,10,9,2,3,4,5,6,7,8]=>[1,4,5,6,7,8,9,10,3,2]=>[2,3,10,9,8,7,6,5,4,1]
[[[.,.],[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[1,7,6,5,4,3,2,9,8]=>[8,9,2,3,4,5,6,7,1]=>[9,3,4,5,6,7,8,1,2]=>[2,1,8,7,6,5,4,3,9]
[[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,9,10,11]
[[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[1,2,10,9,8,7,6,5,4,3]=>[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]
[[[.,.],[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[1,3,2,9,8,7,6,5,4]=>[4,5,6,7,8,9,2,3,1]=>[9,7,8,1,2,3,4,5,6]=>[6,5,4,3,2,1,8,7,9]
[[[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]],.]=>[2,1,8,7,6,5,4,3,9]=>[9,3,4,5,6,7,8,1,2]=>[8,9,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,9,8]
[[[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[1,9,8,7,6,5,4,3,2,10]=>[10,2,3,4,5,6,7,8,9,1]=>[10,2,3,4,5,6,7,8,9,1]=>[1,9,8,7,6,5,4,3,2,10]
[.,[[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]]=>[6,5,4,3,2,8,7,9,1]=>[1,9,7,8,2,3,4,5,6]=>[1,5,6,7,8,9,3,4,2]=>[2,4,3,9,8,7,6,5,1]
[[[[[[[.,.],.],[[.,.],.]],.],.],.],.]=>[1,2,4,5,3,6,7,8,9]=>[9,8,7,6,3,5,4,2,1]=>[9,8,5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5,8,9]
[.,[[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]]=>[2,4,3,9,8,7,6,5,1]=>[1,5,6,7,8,9,3,4,2]=>[1,9,7,8,2,3,4,5,6]=>[6,5,4,3,2,8,7,9,1]
[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],[.,.]]]=>[8,7,6,5,4,3,2,10,9,1]=>[1,9,10,2,3,4,5,6,7,8]=>[1,4,5,6,7,8,9,10,2,3]=>[3,2,10,9,8,7,6,5,4,1]
[[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>[2,1,4,5,6,7,8,9,3]=>[3,9,8,7,6,5,4,1,2]=>[8,9,1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1,9,8]
[[[.,.],[[[[[[.,.],.],.],.],.],.]],.]=>[1,3,4,5,6,7,8,2,9]=>[9,2,8,7,6,5,4,3,1]=>[9,2,8,7,6,5,4,3,1]=>[1,3,4,5,6,7,8,2,9]
[.,[[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]]=>[6,5,4,3,2,8,9,7,1]=>[1,7,9,8,2,3,4,5,6]=>[1,5,6,7,8,9,2,4,3]=>[3,4,2,9,8,7,6,5,1]
[[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,6,7,10,9,8]=>[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]
[[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]],.]=>[6,7,8,5,4,3,2,1,9]=>[9,1,2,3,4,5,8,7,6]=>[2,3,4,5,6,9,8,7,1]=>[1,7,8,9,6,5,4,3,2]
[[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]],.]=>[6,5,7,8,4,3,2,1,9]=>[9,1,2,3,4,8,7,5,6]=>[2,3,4,5,8,9,7,6,1]=>[1,6,7,9,8,5,4,3,2]
[[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]],.]=>[6,5,4,7,8,3,2,1,9]=>[9,1,2,3,8,7,4,5,6]=>[2,3,4,7,8,9,6,5,1]=>[1,5,6,9,8,7,4,3,2]
[[.,[.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]],.]=>[7,6,8,9,5,4,3,2,1,10]=>[10,1,2,3,4,5,9,8,6,7]=>[2,3,4,5,6,9,10,8,7,1]=>[1,7,8,10,9,6,5,4,3,2]
[[.,[.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]],.]=>[7,6,5,8,9,4,3,2,1,10]=>[10,1,2,3,4,9,8,5,6,7]=>[2,3,4,5,8,9,10,7,6,1]=>[1,6,7,10,9,8,5,4,3,2]
[[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,5,9,8,7,6]=>[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]
[[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,4,9,8,7,6,5]=>[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]
[[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,3,9,8,7,6,5,4]=>[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]
[[[[[[[.,.],.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,5,7,6,9,8]=>[8,9,6,7,5,4,3,2,1]=>[9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9]
[[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,5,6,10,9,8,7]=>[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]
[[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,4,5,10,9,8,7,6]=>[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]
[[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,3,4,10,9,8,7,6,5]=>[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]
[[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,2,3,10,9,8,7,6,5,4]=>[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]
[[[[[[[[.,.],.],.],.],.],.],[.,.]],[.,.]]=>[1,2,3,4,5,6,8,7,10,9]=>[9,10,7,8,6,5,4,3,2,1]=>[10,9,8,7,6,5,3,4,1,2]=>[2,1,4,3,5,6,7,8,9,10]
[.,[.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]]=>[10,9,11,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,11,9,10]=>[1,2,3,4,5,6,7,8,10,11,9]=>[9,11,10,8,7,6,5,4,3,2,1]
[[.,.],[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[1,9,8,10,7,6,5,4,3,2]=>[2,3,4,5,6,7,10,8,9,1]=>[10,1,2,3,4,5,6,8,9,7]=>[7,9,8,6,5,4,3,2,1,10]
[.,[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]]=>[2,8,9,7,6,5,4,3,1]=>[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]
[.,[.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]]=>[10,11,9,8,7,6,5,4,3,2,1]=>[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]
[.,[[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]]=>[7,8,6,5,4,3,2,9,1]=>[1,9,2,3,4,5,6,8,7]=>[1,3,4,5,6,7,9,8,2]=>[2,8,9,7,6,5,4,3,1]
[[[[[[[[[.,[[.,.],.]],.],.],.],.],.],.],.],.]=>[2,3,1,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,1,3,2]=>[9,11,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,11,9]
[[[[[.,[[.,[[.,.],.]],.]],.],.],.],.]=>[3,4,2,5,1,6,7,8,9]=>[9,8,7,6,1,5,2,4,3]=>[5,7,9,8,6,4,3,2,1]=>[1,2,3,4,6,8,9,7,5]
[[[[[[.,.],[[.,[.,.]],.]],.],.],.],.]=>[1,4,3,5,2,6,7,8,9]=>[9,8,7,6,2,5,3,4,1]=>[9,5,7,8,6,4,3,2,1]=>[1,2,3,4,6,8,7,5,9]
[[[[[[[[[[.,.],[.,.]],.],.],.],.],.],.],.],.]=>[1,3,2,4,5,6,7,8,9,10,11]=>[11,10,9,8,7,6,5,4,2,3,1]=>[11,9,10,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,10,9,11]
[[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]],.]=>[7,6,5,4,3,2,8,1,9]=>[9,1,8,2,3,4,5,6,7]=>[2,4,5,6,7,8,9,3,1]=>[1,3,9,8,7,6,5,4,2]
[[.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]],.]=>[5,8,7,6,4,3,2,1,9]=>[9,1,2,3,4,6,7,8,5]=>[2,3,4,5,9,6,7,8,1]=>[1,8,7,6,9,5,4,3,2]
[[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]],.]=>[7,6,5,8,4,3,2,1,9]=>[9,1,2,3,4,8,5,6,7]=>[2,3,4,5,7,8,9,6,1]=>[1,6,9,8,7,5,4,3,2]
[.,[[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]]=>[4,3,2,9,8,7,6,5,1]=>[1,5,6,7,8,9,2,3,4]=>[1,7,8,9,2,3,4,5,6]=>[6,5,4,3,2,9,8,7,1]
[.,[.,[.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]]]=>[7,6,10,9,8,5,4,3,2,1]=>[1,2,3,4,5,8,9,10,6,7]=>[1,2,3,4,5,9,10,6,7,8]=>[8,7,6,10,9,5,4,3,2,1]
[[.,[.,[.,[.,[[.,[[.,.],.]],.]]]]],.]=>[6,7,5,8,4,3,2,1,9]=>[9,1,2,3,4,8,5,7,6]=>[2,3,4,5,7,9,8,6,1]=>[1,6,8,9,7,5,4,3,2]
[.,[.,[.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]]]=>[8,7,6,10,9,5,4,3,2,1]=>[1,2,3,4,5,9,10,6,7,8]=>[1,2,3,4,5,8,9,10,6,7]=>[7,6,10,9,8,5,4,3,2,1]
[[.,[.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]],.]=>[4,9,8,7,6,5,3,2,1,10]=>[10,1,2,3,5,6,7,8,9,4]=>[2,3,4,10,5,6,7,8,9,1]=>[1,9,8,7,6,5,10,4,3,2]
[[[[[[.,[[.,.],.]],[.,.]],.],.],.],.]=>[2,3,1,5,4,6,7,8,9]=>[9,8,7,6,4,5,1,3,2]=>[7,9,8,5,6,4,3,2,1]=>[1,2,3,4,6,5,8,9,7]
[.,[.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]]=>[7,6,5,4,3,8,9,2,1]=>[1,2,9,8,3,4,5,6,7]=>[1,2,5,6,7,8,9,4,3]=>[3,4,9,8,7,6,5,2,1]
[.,[[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]]=>[7,6,5,4,3,8,2,9,1]=>[1,9,2,8,3,4,5,6,7]=>[1,3,5,6,7,8,9,4,2]=>[2,4,9,8,7,6,5,3,1]
[[[[[[[.,.],.],.],.],.],[.,[.,.]]],.]=>[1,2,3,4,5,8,7,6,9]=>[9,6,7,8,5,4,3,2,1]=>[9,8,7,6,5,2,3,4,1]=>[1,4,3,2,5,6,7,8,9]
[[.,[[[[[[.,[.,.]],.],.],.],.],.]],.]=>[3,2,4,5,6,7,8,1,9]=>[9,1,8,7,6,5,4,2,3]=>[2,8,9,7,6,5,4,3,1]=>[1,3,4,5,6,7,9,8,2]
[[[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]],.]=>[5,4,3,2,1,8,7,6,9]=>[9,6,7,8,1,2,3,4,5]=>[5,6,7,8,9,2,3,4,1]=>[1,4,3,2,9,8,7,6,5]
[.,[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,3,9,8,7,6,5,4,1]=>[1,4,5,6,7,8,9,3,2]=>[1,9,8,2,3,4,5,6,7]=>[7,6,5,4,3,2,8,9,1]
[[.,.],[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[1,8,7,6,5,4,3,9,2]=>[2,9,3,4,5,6,7,8,1]=>[9,1,3,4,5,6,7,8,2]=>[2,8,7,6,5,4,3,1,9]
[[.,.],[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[1,7,6,5,4,3,8,9,2]=>[2,9,8,3,4,5,6,7,1]=>[9,1,4,5,6,7,8,3,2]=>[2,3,8,7,6,5,4,1,9]
[[.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]],.]=>[2,8,7,6,5,4,3,1,9]=>[9,1,3,4,5,6,7,8,2]=>[2,9,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,9,2]
[[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,7,1,9,8]=>[8,9,1,7,6,5,4,3,2]=>[3,9,8,7,6,5,4,1,2]=>[2,1,4,5,6,7,8,9,3]
[[[[[[[.,.],[[.,.],.]],.],.],.],.],.]=>[1,3,4,2,5,6,7,8,9]=>[9,8,7,6,5,2,4,3,1]=>[9,6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6,9]
[[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]],.]=>[8,7,6,5,4,3,2,9,1,10]=>[10,1,9,2,3,4,5,6,7,8]=>[2,4,5,6,7,8,9,10,3,1]=>[1,3,10,9,8,7,6,5,4,2]
[[[[.,.],.],[.,[.,[.,[.,[.,.]]]]]],.]=>[1,2,8,7,6,5,4,3,9]=>[9,3,4,5,6,7,8,2,1]=>[9,8,2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2,8,9]
[[[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,6,7,8,10,9,11]=>[11,9,10,8,7,6,5,4,3,2,1]=>[11,10,9,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,9,10,11]
[[[[[[[[.,[.,.]],.],.],.],.],.],[.,.]],.]=>[2,1,3,4,5,6,7,9,8,10]=>[10,8,9,7,6,5,4,3,1,2]=>[9,10,8,7,6,5,4,2,3,1]=>[1,3,2,4,5,6,7,8,10,9]
[[[[[[[.,.],[.,.]],.],.],.],[.,.]],.]=>[1,3,2,4,5,6,8,7,9]=>[9,7,8,6,5,4,2,3,1]=>[9,7,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,7,9]
[[[[[[.,[[.,.],.]],.],.],.],[.,.]],.]=>[2,3,1,4,5,6,8,7,9]=>[9,7,8,6,5,4,1,3,2]=>[7,9,8,6,5,4,2,3,1]=>[1,3,2,4,5,6,8,9,7]
[[[[.,[.,.]],.],.],[[[[.,.],.],.],.]]=>[2,1,3,4,6,7,8,9,5]=>[5,9,8,7,6,4,3,1,2]=>[8,9,7,6,1,5,4,3,2]=>[2,3,4,5,1,6,7,9,8]
[[[[[.,[.,.]],.],.],.],[[[.,.],.],.]]=>[2,1,3,4,5,7,8,9,6]=>[6,9,8,7,5,4,3,1,2]=>[8,9,7,6,5,1,4,3,2]=>[2,3,4,1,5,6,7,9,8]
[[[[[[[[.,.],[.,.]],.],.],.],.],.],[.,.]]=>[1,3,2,4,5,6,7,8,10,9]=>[9,10,8,7,6,5,4,2,3,1]=>[10,8,9,7,6,5,4,3,1,2]=>[2,1,3,4,5,6,7,9,8,10]
[.,[.,[.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]]]=>[9,10,11,8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8,11,10,9]=>[1,2,3,4,5,6,7,8,11,10,9]=>[9,10,11,8,7,6,5,4,3,2,1]
[[[.,[[[[.,.],.],.],.]],.],[[.,.],.]]=>[2,3,4,5,1,6,8,9,7]=>[7,9,8,6,1,5,4,3,2]=>[5,9,8,7,6,4,1,3,2]=>[2,3,1,4,6,7,8,9,5]
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
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 $\tau(i) = \sigma(n+1-i)$.
Map
inverse
Description
Sends a permutation to its inverse.
searching the database
Sorry, this map was not found in the database.