Identifier
Mp00017: to 312-avoiding permutationPermutations
Mp00149: Permutations Lehmer code rotationPermutations
Mp00238: Permutations Clarke-Steingrimsson-ZengPermutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1] [.,[.,.]]=>[2,1]=>[1,2]=>[1,2] [[.,.],.]=>[1,2]=>[2,1]=>[2,1] [.,[.,[.,.]]]=>[3,2,1]=>[1,2,3]=>[1,2,3] [.,[[.,.],.]]=>[2,3,1]=>[3,1,2]=>[3,1,2] [[.,.],[.,.]]=>[1,3,2]=>[2,1,3]=>[2,1,3] [[.,[.,.]],.]=>[2,1,3]=>[3,2,1]=>[2,3,1] [[[.,.],.],.]=>[1,2,3]=>[2,3,1]=>[3,2,1] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[4,1,2,3]=>[4,1,2,3] [.,[[.,.],[.,.]]]=>[2,4,3,1]=>[3,1,2,4]=>[3,1,2,4] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[4,3,1,2]=>[3,1,4,2] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[3,4,1,2]=>[4,1,3,2] [[.,.],[.,[.,.]]]=>[1,4,3,2]=>[2,1,3,4]=>[2,1,3,4] [[.,.],[[.,.],.]]=>[1,3,4,2]=>[2,4,1,3]=>[4,2,1,3] [[.,[.,.]],[.,.]]=>[2,1,4,3]=>[3,2,1,4]=>[2,3,1,4] [[[.,.],.],[.,.]]=>[1,2,4,3]=>[2,3,1,4]=>[3,2,1,4] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[4,3,2,1]=>[2,3,4,1] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[3,4,2,1]=>[2,4,3,1] [[[.,.],[.,.]],.]=>[1,3,2,4]=>[2,4,3,1]=>[3,2,4,1] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[3,2,4,1]=>[4,3,2,1] [[[[.,.],.],.],.]=>[1,2,3,4]=>[2,3,4,1]=>[4,2,3,1] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[5,1,2,3,4]=>[5,1,2,3,4] [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[4,1,2,3,5]=>[4,1,2,3,5] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[5,4,1,2,3]=>[4,1,2,5,3] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[4,5,1,2,3]=>[5,1,2,4,3] [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[3,1,2,4,5]=>[3,1,2,4,5] [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[3,5,1,2,4]=>[5,1,3,2,4] [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[4,3,1,2,5]=>[3,1,4,2,5] [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[3,4,1,2,5]=>[4,1,3,2,5] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[5,4,3,1,2]=>[3,1,4,5,2] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[4,5,3,1,2]=>[3,1,5,4,2] [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[3,5,4,1,2]=>[4,1,3,5,2] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[4,3,5,1,2]=>[5,1,4,3,2] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[3,4,5,1,2]=>[5,1,3,4,2] [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[2,1,3,4,5]=>[2,1,3,4,5] [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[2,5,1,3,4]=>[5,2,1,3,4] [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[2,4,1,3,5]=>[4,2,1,3,5] [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[2,5,4,1,3]=>[4,2,1,5,3] [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[2,4,5,1,3]=>[5,2,1,4,3] [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[3,2,1,4,5]=>[2,3,1,4,5] [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[3,2,5,1,4]=>[5,3,2,1,4] [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[2,3,1,4,5]=>[3,2,1,4,5] [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[2,3,5,1,4]=>[5,2,3,1,4] [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[4,3,2,1,5]=>[2,3,4,1,5] [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[3,4,2,1,5]=>[2,4,3,1,5] [[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[2,4,3,1,5]=>[3,2,4,1,5] [[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[3,2,4,1,5]=>[4,3,2,1,5] [[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[2,3,4,1,5]=>[4,2,3,1,5] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[5,4,3,2,1]=>[2,3,4,5,1] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[4,5,3,2,1]=>[2,3,5,4,1] [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[3,5,4,2,1]=>[2,4,3,5,1] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[4,3,5,2,1]=>[2,5,4,3,1] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[3,4,5,2,1]=>[2,5,3,4,1] [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[2,5,4,3,1]=>[3,2,4,5,1] [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[2,4,5,3,1]=>[3,2,5,4,1] [[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[3,2,5,4,1]=>[4,3,2,5,1] [[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[2,3,5,4,1]=>[4,2,3,5,1] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[4,3,2,5,1]=>[5,3,4,2,1] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[3,4,2,5,1]=>[5,4,3,2,1] [[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[2,4,3,5,1]=>[5,2,4,3,1] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[3,2,4,5,1]=>[5,3,2,4,1] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[5,2,3,4,1] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5] [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4] [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6] [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[4,6,1,2,3,5]=>[6,1,2,4,3,5] [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6] [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[5,6,4,1,2,3]=>[4,1,2,6,5,3] [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[4,6,5,1,2,3]=>[5,1,2,4,6,3] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3] [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6] [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[3,6,1,2,4,5]=>[6,1,3,2,4,5] [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[3,5,1,2,4,6]=>[5,1,3,2,4,6] [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[3,6,5,1,2,4]=>[5,1,3,2,6,4] [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[3,5,6,1,2,4]=>[6,1,3,2,5,4] [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6] [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[4,3,6,1,2,5]=>[6,1,4,3,2,5] [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6] [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[3,4,6,1,2,5]=>[6,1,3,4,2,5] [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[5,4,3,1,2,6]=>[3,1,4,5,2,6] [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[4,5,3,1,2,6]=>[3,1,5,4,2,6] [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[3,5,4,1,2,6]=>[4,1,3,5,2,6] [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6] [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[5,6,4,3,1,2]=>[3,1,4,6,5,2] [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[4,6,5,3,1,2]=>[3,1,5,4,6,2] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[5,4,6,3,1,2]=>[3,1,6,5,4,2] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[4,5,6,3,1,2]=>[3,1,6,4,5,2] [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[3,6,5,4,1,2]=>[4,1,3,5,6,2] [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[3,5,6,4,1,2]=>[4,1,3,6,5,2] [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[4,3,6,5,1,2]=>[5,1,4,3,6,2] [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[3,4,6,5,1,2]=>[5,1,3,4,6,2] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[5,4,3,6,1,2]=>[6,1,4,5,3,2] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[4,5,3,6,1,2]=>[6,1,5,4,3,2] [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[3,5,4,6,1,2]=>[6,1,3,5,4,2] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[4,3,5,6,1,2]=>[6,1,4,3,5,2] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2] [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[2,6,1,3,4,5]=>[6,2,1,3,4,5] [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[2,5,1,3,4,6]=>[5,2,1,3,4,6] [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[2,6,5,1,3,4]=>[5,2,1,3,6,4] [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[2,5,6,1,3,4]=>[6,2,1,3,5,4] [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[2,4,1,3,5,6]=>[4,2,1,3,5,6] [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[2,4,6,1,3,5]=>[6,2,1,4,3,5] [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[2,5,4,1,3,6]=>[4,2,1,5,3,6] [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[2,4,5,1,3,6]=>[5,2,1,4,3,6] [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[2,6,5,4,1,3]=>[4,2,1,5,6,3] [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[2,5,6,4,1,3]=>[4,2,1,6,5,3] [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[2,4,6,5,1,3]=>[5,2,1,4,6,3] [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[2,5,4,6,1,3]=>[6,2,1,5,4,3] [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[2,4,5,6,1,3]=>[6,2,1,4,5,3] [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6] [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[3,2,6,1,4,5]=>[6,3,2,1,4,5] [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[3,2,5,1,4,6]=>[5,3,2,1,4,6] [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[3,2,6,5,1,4]=>[5,3,2,1,6,4] [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[3,2,5,6,1,4]=>[6,3,2,1,5,4] [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6] [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[2,3,6,1,4,5]=>[6,2,3,1,4,5] [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[2,3,5,1,4,6]=>[5,2,3,1,4,6] [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[2,3,6,5,1,4]=>[5,2,3,1,6,4] [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[2,3,5,6,1,4]=>[6,2,3,1,5,4] [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6] [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[4,3,2,6,1,5]=>[6,3,4,2,1,5] [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[3,4,2,1,5,6]=>[2,4,3,1,5,6] [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[3,4,2,6,1,5]=>[6,4,3,2,1,5] [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[2,4,3,1,5,6]=>[3,2,4,1,5,6] [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[2,4,3,6,1,5]=>[6,2,4,3,1,5] [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6] [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[3,2,4,6,1,5]=>[6,3,2,4,1,5] [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6] [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5]=>[6,2,3,4,1,5] [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6] [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[4,5,3,2,1,6]=>[2,3,5,4,1,6] [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[3,5,4,2,1,6]=>[2,4,3,5,1,6] [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[4,3,5,2,1,6]=>[2,5,4,3,1,6] [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[3,4,5,2,1,6]=>[2,5,3,4,1,6] [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6]=>[3,2,4,5,1,6] [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[2,4,5,3,1,6]=>[3,2,5,4,1,6] [[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[3,2,5,4,1,6]=>[4,3,2,5,1,6] [[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>[4,2,3,5,1,6] [[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[4,3,2,5,1,6]=>[5,3,4,2,1,6] [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6] [[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>[5,2,4,3,1,6] [[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6] [[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1] [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1] [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1] [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[3,5,6,4,2,1]=>[2,4,3,6,5,1] [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1] [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[3,4,6,5,2,1]=>[2,5,3,4,6,1] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1] [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[3,5,4,6,2,1]=>[2,6,3,5,4,1] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[4,3,5,6,2,1]=>[2,6,4,3,5,1] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[3,4,5,6,2,1]=>[2,6,3,4,5,1] [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1] [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[2,5,6,4,3,1]=>[3,2,4,6,5,1] [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[2,4,6,5,3,1]=>[3,2,5,4,6,1] [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[2,5,4,6,3,1]=>[3,2,6,5,4,1] [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[2,4,5,6,3,1]=>[3,2,6,4,5,1] [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1] [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[3,2,5,6,4,1]=>[4,3,2,6,5,1] [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>[4,2,3,5,6,1] [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[2,3,5,6,4,1]=>[4,2,3,6,5,1] [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1] [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1] [[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>[5,2,4,3,6,1] [[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[3,2,4,6,5,1]=>[5,3,2,4,6,1] [[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[5,2,3,4,6,1] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1] [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[3,5,4,2,6,1]=>[6,4,3,5,2,1] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1] [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>[6,2,4,5,3,1] [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[2,4,5,3,6,1]=>[6,2,5,4,3,1] [[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[3,2,5,4,6,1]=>[6,3,2,5,4,1] [[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[6,2,3,5,4,1] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[4,3,2,5,6,1]=>[6,3,4,2,5,1] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1] [[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[6,2,4,3,5,1] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1] [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1] [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[5,7,1,2,3,4,6]=>[7,1,2,3,5,4,6] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[6,7,5,1,2,3,4]=>[5,1,2,3,7,6,4] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[5,7,6,1,2,3,4]=>[6,1,2,3,5,7,4] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[4,7,1,2,3,5,6]=>[7,1,2,4,3,5,6] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[4,6,1,2,3,5,7]=>[6,1,2,4,3,5,7] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[4,7,6,1,2,3,5]=>[6,1,2,4,3,7,5] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[4,6,7,1,2,3,5]=>[7,1,2,4,3,6,5] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[5,4,7,1,2,3,6]=>[7,1,2,5,4,3,6] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[4,5,1,2,3,6,7]=>[5,1,2,4,3,6,7] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[4,5,7,1,2,3,6]=>[7,1,2,4,5,3,6] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[6,5,4,1,2,3,7]=>[4,1,2,5,6,3,7] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[5,6,4,1,2,3,7]=>[4,1,2,6,5,3,7] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[4,6,5,1,2,3,7]=>[5,1,2,4,6,3,7] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[5,4,6,1,2,3,7]=>[6,1,2,5,4,3,7] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[4,5,6,1,2,3,7]=>[6,1,2,4,5,3,7] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[7,6,5,4,1,2,3]=>[4,1,2,5,6,7,3] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[6,7,5,4,1,2,3]=>[4,1,2,5,7,6,3] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[5,7,6,4,1,2,3]=>[4,1,2,6,5,7,3] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[6,5,7,4,1,2,3]=>[4,1,2,7,6,5,3] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[5,6,7,4,1,2,3]=>[4,1,2,7,5,6,3] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[4,7,6,5,1,2,3]=>[5,1,2,4,6,7,3] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[4,6,7,5,1,2,3]=>[5,1,2,4,7,6,3] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[5,4,7,6,1,2,3]=>[6,1,2,5,4,7,3] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[4,5,7,6,1,2,3]=>[6,1,2,4,5,7,3] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[6,5,4,7,1,2,3]=>[7,1,2,5,6,4,3] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[5,6,4,7,1,2,3]=>[7,1,2,6,5,4,3] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[4,6,5,7,1,2,3]=>[7,1,2,4,6,5,3] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[5,4,6,7,1,2,3]=>[7,1,2,5,4,6,3] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[4,5,6,7,1,2,3]=>[7,1,2,4,5,6,3] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[3,7,1,2,4,5,6]=>[7,1,3,2,4,5,6] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[3,6,1,2,4,5,7]=>[6,1,3,2,4,5,7] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[3,7,6,1,2,4,5]=>[6,1,3,2,4,7,5] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[3,6,7,1,2,4,5]=>[7,1,3,2,4,6,5] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[3,5,1,2,4,6,7]=>[5,1,3,2,4,6,7] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[3,5,7,1,2,4,6]=>[7,1,3,2,5,4,6] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[3,6,5,1,2,4,7]=>[5,1,3,2,6,4,7] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[3,5,6,1,2,4,7]=>[6,1,3,2,5,4,7] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[3,7,6,5,1,2,4]=>[5,1,3,2,6,7,4] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[3,6,7,5,1,2,4]=>[5,1,3,2,7,6,4] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[3,5,7,6,1,2,4]=>[6,1,3,2,5,7,4] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[3,6,5,7,1,2,4]=>[7,1,3,2,6,5,4] [.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[3,5,6,7,1,2,4]=>[7,1,3,2,5,6,4] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[4,3,7,1,2,5,6]=>[7,1,4,3,2,5,6] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[4,3,6,1,2,5,7]=>[6,1,4,3,2,5,7] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[4,3,7,6,1,2,5]=>[6,1,4,3,2,7,5] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[4,3,6,7,1,2,5]=>[7,1,4,3,2,6,5] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[3,4,1,2,5,6,7]=>[4,1,3,2,5,6,7] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[3,4,7,1,2,5,6]=>[7,1,3,4,2,5,6] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[3,4,6,1,2,5,7]=>[6,1,3,4,2,5,7] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[3,4,7,6,1,2,5]=>[6,1,3,4,2,7,5] [.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[3,4,6,7,1,2,5]=>[7,1,3,4,2,6,5] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[5,4,3,1,2,6,7]=>[3,1,4,5,2,6,7] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[5,4,3,7,1,2,6]=>[7,1,4,5,3,2,6] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[4,5,3,1,2,6,7]=>[3,1,5,4,2,6,7] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[4,5,3,7,1,2,6]=>[7,1,5,4,3,2,6] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[3,5,4,1,2,6,7]=>[4,1,3,5,2,6,7] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[3,5,4,7,1,2,6]=>[7,1,3,5,4,2,6] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[4,3,5,1,2,6,7]=>[5,1,4,3,2,6,7] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[4,3,5,7,1,2,6]=>[7,1,4,3,5,2,6] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[3,4,5,1,2,6,7]=>[5,1,3,4,2,6,7] [.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[3,4,5,7,1,2,6]=>[7,1,3,4,5,2,6] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[6,5,4,3,1,2,7]=>[3,1,4,5,6,2,7] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[5,6,4,3,1,2,7]=>[3,1,4,6,5,2,7] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[4,6,5,3,1,2,7]=>[3,1,5,4,6,2,7] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[5,4,6,3,1,2,7]=>[3,1,6,5,4,2,7] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[4,5,6,3,1,2,7]=>[3,1,6,4,5,2,7] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[3,6,5,4,1,2,7]=>[4,1,3,5,6,2,7] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[3,5,6,4,1,2,7]=>[4,1,3,6,5,2,7] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[4,3,6,5,1,2,7]=>[5,1,4,3,6,2,7] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[3,4,6,5,1,2,7]=>[5,1,3,4,6,2,7] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[5,4,3,6,1,2,7]=>[6,1,4,5,3,2,7] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[4,5,3,6,1,2,7]=>[6,1,5,4,3,2,7] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[3,5,4,6,1,2,7]=>[6,1,3,5,4,2,7] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[4,3,5,6,1,2,7]=>[6,1,4,3,5,2,7] [.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[3,4,5,6,1,2,7]=>[6,1,3,4,5,2,7] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[6,7,5,4,3,1,2]=>[3,1,4,5,7,6,2] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[5,7,6,4,3,1,2]=>[3,1,4,6,5,7,2] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[6,5,7,4,3,1,2]=>[3,1,4,7,6,5,2] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[5,6,7,4,3,1,2]=>[3,1,4,7,5,6,2] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[4,7,6,5,3,1,2]=>[3,1,5,4,6,7,2] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[4,6,7,5,3,1,2]=>[3,1,5,4,7,6,2] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[5,4,7,6,3,1,2]=>[3,1,6,5,4,7,2] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[4,5,7,6,3,1,2]=>[3,1,6,4,5,7,2] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[6,5,4,7,3,1,2]=>[3,1,7,5,6,4,2] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[5,6,4,7,3,1,2]=>[3,1,7,6,5,4,2] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[4,6,5,7,3,1,2]=>[3,1,7,4,6,5,2] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[5,4,6,7,3,1,2]=>[3,1,7,5,4,6,2] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[4,5,6,7,3,1,2]=>[3,1,7,4,5,6,2] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[3,7,6,5,4,1,2]=>[4,1,3,5,6,7,2] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[3,6,7,5,4,1,2]=>[4,1,3,5,7,6,2] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[3,5,7,6,4,1,2]=>[4,1,3,6,5,7,2] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[3,6,5,7,4,1,2]=>[4,1,3,7,6,5,2] [.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[3,5,6,7,4,1,2]=>[4,1,3,7,5,6,2] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[4,3,7,6,5,1,2]=>[5,1,4,3,6,7,2] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[4,3,6,7,5,1,2]=>[5,1,4,3,7,6,2] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[3,4,7,6,5,1,2]=>[5,1,3,4,6,7,2] [.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[3,4,6,7,5,1,2]=>[5,1,3,4,7,6,2] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[5,4,3,7,6,1,2]=>[6,1,4,5,3,7,2] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[4,5,3,7,6,1,2]=>[6,1,5,4,3,7,2] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[3,5,4,7,6,1,2]=>[6,1,3,5,4,7,2] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[4,3,5,7,6,1,2]=>[6,1,4,3,5,7,2] [.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[3,4,5,7,6,1,2]=>[6,1,3,4,5,7,2] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[6,5,4,3,7,1,2]=>[7,1,4,5,6,3,2] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[5,6,4,3,7,1,2]=>[7,1,4,6,5,3,2] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[4,6,5,3,7,1,2]=>[7,1,5,4,6,3,2] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[5,4,6,3,7,1,2]=>[7,1,6,5,4,3,2] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[4,5,6,3,7,1,2]=>[7,1,6,4,5,3,2] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[3,6,5,4,7,1,2]=>[7,1,3,5,6,4,2] [.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[3,5,6,4,7,1,2]=>[7,1,3,6,5,4,2] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[4,3,6,5,7,1,2]=>[7,1,4,3,6,5,2] [.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[3,4,6,5,7,1,2]=>[7,1,3,4,6,5,2] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[5,4,3,6,7,1,2]=>[7,1,4,5,3,6,2] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[4,5,3,6,7,1,2]=>[7,1,5,4,3,6,2] [.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[3,5,4,6,7,1,2]=>[7,1,3,5,4,6,2] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[4,3,5,6,7,1,2]=>[7,1,4,3,5,6,2] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[3,4,5,6,7,1,2]=>[7,1,3,4,5,6,2] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[2,7,1,3,4,5,6]=>[7,2,1,3,4,5,6] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[2,6,1,3,4,5,7]=>[6,2,1,3,4,5,7] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[2,7,6,1,3,4,5]=>[6,2,1,3,4,7,5] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[2,6,7,1,3,4,5]=>[7,2,1,3,4,6,5] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[2,5,1,3,4,6,7]=>[5,2,1,3,4,6,7] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[2,5,7,1,3,4,6]=>[7,2,1,3,5,4,6] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[2,6,5,1,3,4,7]=>[5,2,1,3,6,4,7] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[2,5,6,1,3,4,7]=>[6,2,1,3,5,4,7] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[2,7,6,5,1,3,4]=>[5,2,1,3,6,7,4] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[2,6,7,5,1,3,4]=>[5,2,1,3,7,6,4] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[2,5,7,6,1,3,4]=>[6,2,1,3,5,7,4] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[2,6,5,7,1,3,4]=>[7,2,1,3,6,5,4] [[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[2,5,6,7,1,3,4]=>[7,2,1,3,5,6,4] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[2,4,1,3,5,6,7]=>[4,2,1,3,5,6,7] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[2,4,7,1,3,5,6]=>[7,2,1,4,3,5,6] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[2,4,6,1,3,5,7]=>[6,2,1,4,3,5,7] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[2,4,7,6,1,3,5]=>[6,2,1,4,3,7,5] [[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[2,4,6,7,1,3,5]=>[7,2,1,4,3,6,5] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[2,5,4,1,3,6,7]=>[4,2,1,5,3,6,7] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[2,5,4,7,1,3,6]=>[7,2,1,5,4,3,6] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[2,4,5,1,3,6,7]=>[5,2,1,4,3,6,7] [[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[2,4,5,7,1,3,6]=>[7,2,1,4,5,3,6] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[2,6,5,4,1,3,7]=>[4,2,1,5,6,3,7] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[2,5,6,4,1,3,7]=>[4,2,1,6,5,3,7] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[2,4,6,5,1,3,7]=>[5,2,1,4,6,3,7] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[2,5,4,6,1,3,7]=>[6,2,1,5,4,3,7] [[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[2,4,5,6,1,3,7]=>[6,2,1,4,5,3,7] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[2,7,6,5,4,1,3]=>[4,2,1,5,6,7,3] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[2,6,7,5,4,1,3]=>[4,2,1,5,7,6,3] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[2,5,7,6,4,1,3]=>[4,2,1,6,5,7,3] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[2,6,5,7,4,1,3]=>[4,2,1,7,6,5,3] [[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[2,5,6,7,4,1,3]=>[4,2,1,7,5,6,3] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[2,4,7,6,5,1,3]=>[5,2,1,4,6,7,3] [[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[2,4,6,7,5,1,3]=>[5,2,1,4,7,6,3] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[2,5,4,7,6,1,3]=>[6,2,1,5,4,7,3] [[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[2,4,5,7,6,1,3]=>[6,2,1,4,5,7,3] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[2,6,5,4,7,1,3]=>[7,2,1,5,6,4,3] [[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[2,5,6,4,7,1,3]=>[7,2,1,6,5,4,3] [[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[2,4,6,5,7,1,3]=>[7,2,1,4,6,5,3] [[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[2,5,4,6,7,1,3]=>[7,2,1,5,4,6,3] [[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[2,4,5,6,7,1,3]=>[7,2,1,4,5,6,3] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[3,2,7,1,4,5,6]=>[7,3,2,1,4,5,6] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[3,2,6,1,4,5,7]=>[6,3,2,1,4,5,7] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[3,2,7,6,1,4,5]=>[6,3,2,1,4,7,5] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[3,2,6,7,1,4,5]=>[7,3,2,1,4,6,5] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[3,2,5,1,4,6,7]=>[5,3,2,1,4,6,7] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[3,2,5,7,1,4,6]=>[7,3,2,1,5,4,6] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[3,2,6,5,1,4,7]=>[5,3,2,1,6,4,7] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[3,2,5,6,1,4,7]=>[6,3,2,1,5,4,7] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[3,2,7,6,5,1,4]=>[5,3,2,1,6,7,4] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[3,2,6,7,5,1,4]=>[5,3,2,1,7,6,4] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[3,2,5,7,6,1,4]=>[6,3,2,1,5,7,4] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[3,2,6,5,7,1,4]=>[7,3,2,1,6,5,4] [[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[3,2,5,6,7,1,4]=>[7,3,2,1,5,6,4] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[2,3,1,4,5,6,7]=>[3,2,1,4,5,6,7] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[2,3,7,1,4,5,6]=>[7,2,3,1,4,5,6] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[2,3,6,1,4,5,7]=>[6,2,3,1,4,5,7] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[2,3,7,6,1,4,5]=>[6,2,3,1,4,7,5] [[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[2,3,6,7,1,4,5]=>[7,2,3,1,4,6,5] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[2,3,5,1,4,6,7]=>[5,2,3,1,4,6,7] [[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[2,3,5,7,1,4,6]=>[7,2,3,1,5,4,6] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[2,3,6,5,1,4,7]=>[5,2,3,1,6,4,7] [[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[2,3,5,6,1,4,7]=>[6,2,3,1,5,4,7] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[2,3,7,6,5,1,4]=>[5,2,3,1,6,7,4] [[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[2,3,6,7,5,1,4]=>[5,2,3,1,7,6,4] [[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[2,3,5,7,6,1,4]=>[6,2,3,1,5,7,4] [[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[2,3,6,5,7,1,4]=>[7,2,3,1,6,5,4] [[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[2,3,5,6,7,1,4]=>[7,2,3,1,5,6,4] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[4,3,2,7,1,5,6]=>[7,3,4,2,1,5,6] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[4,3,2,6,1,5,7]=>[6,3,4,2,1,5,7] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[4,3,2,7,6,1,5]=>[6,3,4,2,1,7,5] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[4,3,2,6,7,1,5]=>[7,3,4,2,1,6,5] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[3,4,2,1,5,6,7]=>[2,4,3,1,5,6,7] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[3,4,2,7,1,5,6]=>[7,4,3,2,1,5,6] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[3,4,2,6,1,5,7]=>[6,4,3,2,1,5,7] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[3,4,2,7,6,1,5]=>[6,4,3,2,1,7,5] [[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[3,4,2,6,7,1,5]=>[7,4,3,2,1,6,5] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[2,4,3,1,5,6,7]=>[3,2,4,1,5,6,7] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[2,4,3,7,1,5,6]=>[7,2,4,3,1,5,6] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[2,4,3,6,1,5,7]=>[6,2,4,3,1,5,7] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[2,4,3,7,6,1,5]=>[6,2,4,3,1,7,5] [[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[2,4,3,6,7,1,5]=>[7,2,4,3,1,6,5] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[3,2,4,7,1,5,6]=>[7,3,2,4,1,5,6] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[3,2,4,6,1,5,7]=>[6,3,2,4,1,5,7] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[3,2,4,7,6,1,5]=>[6,3,2,4,1,7,5] [[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[3,2,4,6,7,1,5]=>[7,3,2,4,1,6,5] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7] [[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[2,3,4,7,1,5,6]=>[7,2,3,4,1,5,6] [[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[2,3,4,6,1,5,7]=>[6,2,3,4,1,5,7] [[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[2,3,4,7,6,1,5]=>[6,2,3,4,1,7,5] [[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[2,3,4,6,7,1,5]=>[7,2,3,4,1,6,5] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[5,4,3,2,7,1,6]=>[7,3,4,5,2,1,6] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[4,5,3,2,1,6,7]=>[2,3,5,4,1,6,7] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[4,5,3,2,7,1,6]=>[7,3,5,4,2,1,6] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[3,5,4,2,1,6,7]=>[2,4,3,5,1,6,7] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[3,5,4,2,7,1,6]=>[7,4,3,5,2,1,6] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[4,3,5,2,1,6,7]=>[2,5,4,3,1,6,7] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[4,3,5,2,7,1,6]=>[7,5,4,3,2,1,6] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[3,4,5,2,1,6,7]=>[2,5,3,4,1,6,7] [[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[3,4,5,2,7,1,6]=>[7,5,3,4,2,1,6] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[2,5,4,3,1,6,7]=>[3,2,4,5,1,6,7] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[2,5,4,3,7,1,6]=>[7,2,4,5,3,1,6] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[2,4,5,3,1,6,7]=>[3,2,5,4,1,6,7] [[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[2,4,5,3,7,1,6]=>[7,2,5,4,3,1,6] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[3,2,5,4,1,6,7]=>[4,3,2,5,1,6,7] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[3,2,5,4,7,1,6]=>[7,3,2,5,4,1,6] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,6,7]=>[4,2,3,5,1,6,7] [[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[2,3,5,4,7,1,6]=>[7,2,3,5,4,1,6] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[4,3,2,5,1,6,7]=>[5,3,4,2,1,6,7] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[4,3,2,5,7,1,6]=>[7,3,4,2,5,1,6] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[3,4,2,5,1,6,7]=>[5,4,3,2,1,6,7] [[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[3,4,2,5,7,1,6]=>[7,4,3,2,5,1,6] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,6,7]=>[5,2,4,3,1,6,7] [[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[2,4,3,5,7,1,6]=>[7,2,4,3,5,1,6] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[3,2,4,5,1,6,7]=>[5,3,2,4,1,6,7] [[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[3,2,4,5,7,1,6]=>[7,3,2,4,5,1,6] [[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,6,7]=>[5,2,3,4,1,6,7] [[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[2,3,4,5,7,1,6]=>[7,2,3,4,5,1,6] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[5,6,4,3,2,1,7]=>[2,3,4,6,5,1,7] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[4,6,5,3,2,1,7]=>[2,3,5,4,6,1,7] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[5,4,6,3,2,1,7]=>[2,3,6,5,4,1,7] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[3,6,5,4,2,1,7]=>[2,4,3,5,6,1,7] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[3,5,6,4,2,1,7]=>[2,4,3,6,5,1,7] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[4,3,6,5,2,1,7]=>[2,5,4,3,6,1,7] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[3,4,6,5,2,1,7]=>[2,5,3,4,6,1,7] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[3,5,4,6,2,1,7]=>[2,6,3,5,4,1,7] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[4,3,5,6,2,1,7]=>[2,6,4,3,5,1,7] [[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[3,4,5,6,2,1,7]=>[2,6,3,4,5,1,7] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7]=>[3,2,4,5,6,1,7] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[2,5,6,4,3,1,7]=>[3,2,4,6,5,1,7] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[2,4,6,5,3,1,7]=>[3,2,5,4,6,1,7] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[2,5,4,6,3,1,7]=>[3,2,6,5,4,1,7] [[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[2,4,5,6,3,1,7]=>[3,2,6,4,5,1,7] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[3,2,6,5,4,1,7]=>[4,3,2,5,6,1,7] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[3,2,5,6,4,1,7]=>[4,3,2,6,5,1,7] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>[4,2,3,5,6,1,7] [[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[2,3,5,6,4,1,7]=>[4,2,3,6,5,1,7] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[4,3,2,6,5,1,7]=>[5,3,4,2,6,1,7] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[3,4,2,6,5,1,7]=>[5,4,3,2,6,1,7] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>[5,2,4,3,6,1,7] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[3,2,4,6,5,1,7]=>[5,3,2,4,6,1,7] [[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[5,2,3,4,6,1,7] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[3,5,4,2,6,1,7]=>[6,4,3,5,2,1,7] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[4,3,5,2,6,1,7]=>[6,5,4,3,2,1,7] [[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[3,4,5,2,6,1,7]=>[6,5,3,4,2,1,7] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>[6,2,4,5,3,1,7] [[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[2,4,5,3,6,1,7]=>[6,2,5,4,3,1,7] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[3,2,5,4,6,1,7]=>[6,3,2,5,4,1,7] [[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[6,2,3,5,4,1,7] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[4,3,2,5,6,1,7]=>[6,3,4,2,5,1,7] [[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[3,4,2,5,6,1,7]=>[6,4,3,2,5,1,7] [[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[6,2,4,3,5,1,7] [[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[3,2,4,5,6,1,7]=>[6,3,2,4,5,1,7] [[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[6,2,3,4,5,1,7] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[6,7,5,4,3,2,1]=>[2,3,4,5,7,6,1] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[5,7,6,4,3,2,1]=>[2,3,4,6,5,7,1] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[6,5,7,4,3,2,1]=>[2,3,4,7,6,5,1] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[4,6,7,5,3,2,1]=>[2,3,5,4,7,6,1] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[5,4,7,6,3,2,1]=>[2,3,6,5,4,7,1] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[4,5,7,6,3,2,1]=>[2,3,6,4,5,7,1] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[6,5,4,7,3,2,1]=>[2,3,7,5,6,4,1] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[5,6,4,7,3,2,1]=>[2,3,7,6,5,4,1] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[4,6,5,7,3,2,1]=>[2,3,7,4,6,5,1] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[5,4,6,7,3,2,1]=>[2,3,7,5,4,6,1] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[3,7,6,5,4,2,1]=>[2,4,3,5,6,7,1] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[3,6,7,5,4,2,1]=>[2,4,3,5,7,6,1] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[3,5,7,6,4,2,1]=>[2,4,3,6,5,7,1] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[3,6,5,7,4,2,1]=>[2,4,3,7,6,5,1] [[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[3,5,6,7,4,2,1]=>[2,4,3,7,5,6,1] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[4,3,7,6,5,2,1]=>[2,5,4,3,6,7,1] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[4,3,6,7,5,2,1]=>[2,5,4,3,7,6,1] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[3,4,7,6,5,2,1]=>[2,5,3,4,6,7,1] [[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[3,4,6,7,5,2,1]=>[2,5,3,4,7,6,1] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[5,4,3,7,6,2,1]=>[2,6,4,5,3,7,1] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[4,5,3,7,6,2,1]=>[2,6,5,4,3,7,1] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[3,5,4,7,6,2,1]=>[2,6,3,5,4,7,1] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[4,3,5,7,6,2,1]=>[2,6,4,3,5,7,1] [[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[3,4,5,7,6,2,1]=>[2,6,3,4,5,7,1] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[6,5,4,3,7,2,1]=>[2,7,4,5,6,3,1] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[5,6,4,3,7,2,1]=>[2,7,4,6,5,3,1] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[4,6,5,3,7,2,1]=>[2,7,5,4,6,3,1] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[5,4,6,3,7,2,1]=>[2,7,6,5,4,3,1] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[4,5,6,3,7,2,1]=>[2,7,6,4,5,3,1] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[3,6,5,4,7,2,1]=>[2,7,3,5,6,4,1] [[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[3,5,6,4,7,2,1]=>[2,7,3,6,5,4,1] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[4,3,6,5,7,2,1]=>[2,7,4,3,6,5,1] [[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[3,4,6,5,7,2,1]=>[2,7,3,4,6,5,1] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[5,4,3,6,7,2,1]=>[2,7,4,5,3,6,1] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[4,5,3,6,7,2,1]=>[2,7,5,4,3,6,1] [[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[3,5,4,6,7,2,1]=>[2,7,3,5,4,6,1] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[4,3,5,6,7,2,1]=>[2,7,4,3,5,6,1] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[3,4,5,6,7,2,1]=>[2,7,3,4,5,6,1] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[2,6,7,5,4,3,1]=>[3,2,4,5,7,6,1] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[2,5,7,6,4,3,1]=>[3,2,4,6,5,7,1] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[2,6,5,7,4,3,1]=>[3,2,4,7,6,5,1] [[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[2,5,6,7,4,3,1]=>[3,2,4,7,5,6,1] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[2,4,7,6,5,3,1]=>[3,2,5,4,6,7,1] [[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[2,4,6,7,5,3,1]=>[3,2,5,4,7,6,1] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[2,5,4,7,6,3,1]=>[3,2,6,5,4,7,1] [[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[2,4,5,7,6,3,1]=>[3,2,6,4,5,7,1] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[2,6,5,4,7,3,1]=>[3,2,7,5,6,4,1] [[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[2,5,6,4,7,3,1]=>[3,2,7,6,5,4,1] [[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[2,4,6,5,7,3,1]=>[3,2,7,4,6,5,1] [[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[2,5,4,6,7,3,1]=>[3,2,7,5,4,6,1] [[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[2,4,5,6,7,3,1]=>[3,2,7,4,5,6,1] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[3,2,7,6,5,4,1]=>[4,3,2,5,6,7,1] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[3,2,6,7,5,4,1]=>[4,3,2,5,7,6,1] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[3,2,5,7,6,4,1]=>[4,3,2,6,5,7,1] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[3,2,6,5,7,4,1]=>[4,3,2,7,6,5,1] [[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[3,2,5,6,7,4,1]=>[4,3,2,7,5,6,1] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>[4,2,3,5,6,7,1] [[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[2,3,6,7,5,4,1]=>[4,2,3,5,7,6,1] [[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[2,3,5,7,6,4,1]=>[4,2,3,6,5,7,1] [[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[2,3,6,5,7,4,1]=>[4,2,3,7,6,5,1] [[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[2,3,5,6,7,4,1]=>[4,2,3,7,5,6,1] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[4,3,2,7,6,5,1]=>[5,3,4,2,6,7,1] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[4,3,2,6,7,5,1]=>[5,3,4,2,7,6,1] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[3,4,2,7,6,5,1]=>[5,4,3,2,6,7,1] [[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[3,4,2,6,7,5,1]=>[5,4,3,2,7,6,1] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>[5,2,4,3,6,7,1] [[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[2,4,3,6,7,5,1]=>[5,2,4,3,7,6,1] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[3,2,4,7,6,5,1]=>[5,3,2,4,6,7,1] [[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[3,2,4,6,7,5,1]=>[5,3,2,4,7,6,1] [[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[5,2,3,4,6,7,1] [[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[2,3,4,6,7,5,1]=>[5,2,3,4,7,6,1] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[5,4,3,2,7,6,1]=>[6,3,4,5,2,7,1] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[4,5,3,2,7,6,1]=>[6,3,5,4,2,7,1] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[3,5,4,2,7,6,1]=>[6,4,3,5,2,7,1] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[4,3,5,2,7,6,1]=>[6,5,4,3,2,7,1] [[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[3,4,5,2,7,6,1]=>[6,5,3,4,2,7,1] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>[6,2,4,5,3,7,1] [[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[2,4,5,3,7,6,1]=>[6,2,5,4,3,7,1] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[3,2,5,4,7,6,1]=>[6,3,2,5,4,7,1] [[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[6,2,3,5,4,7,1] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[4,3,2,5,7,6,1]=>[6,3,4,2,5,7,1] [[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[3,4,2,5,7,6,1]=>[6,4,3,2,5,7,1] [[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[6,2,4,3,5,7,1] [[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[3,2,4,5,7,6,1]=>[6,3,2,4,5,7,1] [[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[6,2,3,4,5,7,1] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[6,5,4,3,2,7,1]=>[7,3,4,5,6,2,1] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[5,6,4,3,2,7,1]=>[7,3,4,6,5,2,1] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[4,6,5,3,2,7,1]=>[7,3,5,4,6,2,1] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[5,4,6,3,2,7,1]=>[7,3,6,5,4,2,1] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[4,5,6,3,2,7,1]=>[7,3,6,4,5,2,1] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[3,6,5,4,2,7,1]=>[7,4,3,5,6,2,1] [[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[3,5,6,4,2,7,1]=>[7,4,3,6,5,2,1] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[4,3,6,5,2,7,1]=>[7,5,4,3,6,2,1] [[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[3,4,6,5,2,7,1]=>[7,5,3,4,6,2,1] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[5,4,3,6,2,7,1]=>[7,6,4,5,3,2,1] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[4,5,3,6,2,7,1]=>[7,6,5,4,3,2,1] [[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[3,5,4,6,2,7,1]=>[7,6,3,5,4,2,1] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[4,3,5,6,2,7,1]=>[7,6,4,3,5,2,1] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[3,4,5,6,2,7,1]=>[7,6,3,4,5,2,1] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>[7,2,4,5,6,3,1] [[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[2,5,6,4,3,7,1]=>[7,2,4,6,5,3,1] [[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[2,4,6,5,3,7,1]=>[7,2,5,4,6,3,1] [[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[2,5,4,6,3,7,1]=>[7,2,6,5,4,3,1] [[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[2,4,5,6,3,7,1]=>[7,2,6,4,5,3,1] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[3,2,6,5,4,7,1]=>[7,3,2,5,6,4,1] [[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[3,2,5,6,4,7,1]=>[7,3,2,6,5,4,1] [[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[7,2,3,5,6,4,1] [[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[2,3,5,6,4,7,1]=>[7,2,3,6,5,4,1] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[4,3,2,6,5,7,1]=>[7,3,4,2,6,5,1] [[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[3,4,2,6,5,7,1]=>[7,4,3,2,6,5,1] [[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[7,2,4,3,6,5,1] [[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[3,2,4,6,5,7,1]=>[7,3,2,4,6,5,1] [[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[7,2,3,4,6,5,1] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[4,5,3,2,6,7,1]=>[7,3,5,4,2,6,1] [[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[3,5,4,2,6,7,1]=>[7,4,3,5,2,6,1] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[4,3,5,2,6,7,1]=>[7,5,4,3,2,6,1] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[3,4,5,2,6,7,1]=>[7,5,3,4,2,6,1] [[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[7,2,4,5,3,6,1] [[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[2,4,5,3,6,7,1]=>[7,2,5,4,3,6,1] [[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[3,2,5,4,6,7,1]=>[7,3,2,5,4,6,1] [[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[7,2,3,5,4,6,1] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[4,3,2,5,6,7,1]=>[7,3,4,2,5,6,1] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[3,4,2,5,6,7,1]=>[7,4,3,2,5,6,1] [[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[7,2,4,3,5,6,1] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[3,2,4,5,6,7,1]=>[7,3,2,4,5,6,1] [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[7,2,3,4,5,6,1] [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8] [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7] [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[6,8,7,5,4,3,2,1]=>[7,1,2,3,4,5,6,8]=>[7,1,2,3,4,5,6,8] [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[7,8,1,2,3,4,5,6]=>[8,1,2,3,4,5,7,6] [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[5,6,8,7,4,3,2,1]=>[6,7,1,2,3,4,5,8]=>[7,1,2,3,4,6,5,8] [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[8,7,6,1,2,3,4,5]=>[6,1,2,3,4,7,8,5] [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[7,8,6,1,2,3,4,5]=>[6,1,2,3,4,8,7,5] [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[5,7,6,8,4,3,2,1]=>[6,8,7,1,2,3,4,5]=>[7,1,2,3,4,6,8,5] [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[7,6,8,1,2,3,4,5]=>[8,1,2,3,4,7,6,5] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[6,7,8,1,2,3,4,5]=>[8,1,2,3,4,6,7,5] [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8]=>[5,1,2,3,4,6,7,8] [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[4,7,8,6,5,3,2,1]=>[5,8,1,2,3,4,6,7]=>[8,1,2,3,5,4,6,7] [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[4,6,8,7,5,3,2,1]=>[5,7,1,2,3,4,6,8]=>[7,1,2,3,5,4,6,8] [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[4,7,6,8,5,3,2,1]=>[5,8,7,1,2,3,4,6]=>[7,1,2,3,5,4,8,6] [.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[4,6,7,8,5,3,2,1]=>[5,7,8,1,2,3,4,6]=>[8,1,2,3,5,4,7,6] [.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[4,5,7,8,6,3,2,1]=>[5,6,8,1,2,3,4,7]=>[8,1,2,3,5,6,4,7] [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[4,6,5,8,7,3,2,1]=>[5,7,6,1,2,3,4,8]=>[6,1,2,3,5,7,4,8] [.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[4,5,6,8,7,3,2,1]=>[5,6,7,1,2,3,4,8]=>[7,1,2,3,5,6,4,8] [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,4] [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[7,8,6,5,1,2,3,4]=>[5,1,2,3,6,8,7,4] [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[5,7,6,4,8,3,2,1]=>[6,8,7,5,1,2,3,4]=>[5,1,2,3,7,6,8,4] [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[7,6,8,5,1,2,3,4]=>[5,1,2,3,8,7,6,4] [.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[6,7,8,5,1,2,3,4]=>[5,1,2,3,8,6,7,4] [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[4,7,6,5,8,3,2,1]=>[5,8,7,6,1,2,3,4]=>[6,1,2,3,5,7,8,4] [.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[4,6,7,5,8,3,2,1]=>[5,7,8,6,1,2,3,4]=>[6,1,2,3,5,8,7,4] [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[5,4,7,6,8,3,2,1]=>[6,5,8,7,1,2,3,4]=>[7,1,2,3,6,5,8,4] [.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[4,5,7,6,8,3,2,1]=>[5,6,8,7,1,2,3,4]=>[7,1,2,3,5,6,8,4] [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[7,6,5,8,1,2,3,4]=>[8,1,2,3,6,7,5,4] [.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[6,7,5,8,1,2,3,4]=>[8,1,2,3,7,6,5,4] [.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[4,6,5,7,8,3,2,1]=>[5,7,6,8,1,2,3,4]=>[8,1,2,3,5,7,6,4] [.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[6,5,7,8,1,2,3,4]=>[8,1,2,3,6,5,7,4] [.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[5,6,7,8,1,2,3,4]=>[8,1,2,3,5,6,7,4] [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[3,8,7,6,5,4,2,1]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8] [.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[3,5,7,8,6,4,2,1]=>[4,6,8,1,2,3,5,7]=>[8,1,2,4,3,6,5,7] [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[3,7,6,5,8,4,2,1]=>[4,8,7,6,1,2,3,5]=>[6,1,2,4,3,7,8,5] [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>[4,6,7,8,1,2,3,5]=>[8,1,2,4,3,6,7,5] [.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[4,3,6,7,8,5,2,1]=>[5,4,7,8,1,2,3,6]=>[8,1,2,5,4,3,7,6] [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[3,4,8,7,6,5,2,1]=>[4,5,1,2,3,6,7,8]=>[5,1,2,4,3,6,7,8] [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[5,4,3,7,8,6,2,1]=>[6,5,4,8,1,2,3,7]=>[8,1,2,5,6,4,3,7] [.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>[3,4,5,7,8,6,2,1]=>[4,5,6,8,1,2,3,7]=>[8,1,2,4,5,6,3,7] [.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>[4,5,6,3,8,7,2,1]=>[5,6,7,4,1,2,3,8]=>[4,1,2,7,5,6,3,8] [.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>[4,5,3,6,8,7,2,1]=>[5,6,4,7,1,2,3,8]=>[7,1,2,6,5,4,3,8] [.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>[4,3,5,6,8,7,2,1]=>[5,4,6,7,1,2,3,8]=>[7,1,2,5,4,6,3,8] [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[8,7,6,5,4,1,2,3]=>[4,1,2,5,6,7,8,3] [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[5,7,6,4,3,8,2,1]=>[6,8,7,5,4,1,2,3]=>[4,1,2,5,7,6,8,3] [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[4,7,6,5,3,8,2,1]=>[5,8,7,6,4,1,2,3]=>[4,1,2,6,5,7,8,3] [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[6,5,7,8,4,1,2,3]=>[4,1,2,8,6,5,7,3] [.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[5,6,7,8,4,1,2,3]=>[4,1,2,8,5,6,7,3] [.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[3,4,7,6,5,8,2,1]=>[4,5,8,7,6,1,2,3]=>[6,1,2,4,5,7,8,3] [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[7,6,5,4,8,1,2,3]=>[8,1,2,5,6,7,4,3] [.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[3,4,6,5,7,8,2,1]=>[4,5,7,6,8,1,2,3]=>[8,1,2,4,5,7,6,3] [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,8,7,6,5,4,3,1]=>[3,1,2,4,5,6,7,8]=>[3,1,2,4,5,6,7,8] [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[2,5,6,7,8,4,3,1]=>[3,6,7,8,1,2,4,5]=>[8,1,3,2,4,6,7,5] [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[2,4,8,7,6,5,3,1]=>[3,5,1,2,4,6,7,8]=>[5,1,3,2,4,6,7,8] [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[2,4,6,8,7,5,3,1]=>[3,5,7,1,2,4,6,8]=>[7,1,3,2,5,4,6,8] [.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[2,4,6,5,8,7,3,1]=>[3,5,7,6,1,2,4,8]=>[6,1,3,2,5,7,4,8] [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[2,7,6,5,4,8,3,1]=>[3,8,7,6,5,1,2,4]=>[5,1,3,2,6,7,8,4] [.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[2,4,7,6,5,8,3,1]=>[3,5,8,7,6,1,2,4]=>[6,1,3,2,5,7,8,4] [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[3,2,8,7,6,5,4,1]=>[4,3,1,2,5,6,7,8]=>[3,1,4,2,5,6,7,8] [.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[3,2,5,7,6,8,4,1]=>[4,3,6,8,7,1,2,5]=>[7,1,4,3,2,6,8,5] [.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[3,2,5,6,7,8,4,1]=>[4,3,6,7,8,1,2,5]=>[8,1,4,3,2,6,7,5] [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[2,3,8,7,6,5,4,1]=>[3,4,1,2,5,6,7,8]=>[4,1,3,2,5,6,7,8] [.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[2,3,7,6,5,8,4,1]=>[3,4,8,7,6,1,2,5]=>[6,1,3,4,2,7,8,5] [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[2,3,5,6,7,8,4,1]=>[3,4,6,7,8,1,2,5]=>[8,1,3,4,2,6,7,5] [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[4,3,2,8,7,6,5,1]=>[5,4,3,1,2,6,7,8]=>[3,1,4,5,2,6,7,8] [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[4,3,2,7,8,6,5,1]=>[5,4,3,8,1,2,6,7]=>[8,1,4,5,3,2,6,7] [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[4,3,2,6,8,7,5,1]=>[5,4,3,7,1,2,6,8]=>[7,1,4,5,3,2,6,8] [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[2,4,3,8,7,6,5,1]=>[3,5,4,1,2,6,7,8]=>[4,1,3,5,2,6,7,8] [.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[2,4,3,6,8,7,5,1]=>[3,5,4,7,1,2,6,8]=>[7,1,3,5,4,2,6,8] [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[5,4,3,2,8,7,6,1]=>[6,5,4,3,1,2,7,8]=>[3,1,4,5,6,2,7,8] [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[5,4,3,2,7,8,6,1]=>[6,5,4,3,8,1,2,7]=>[8,1,4,5,6,3,2,7] [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[4,5,3,2,8,7,6,1]=>[5,6,4,3,1,2,7,8]=>[3,1,4,6,5,2,7,8] [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[4,3,5,2,8,7,6,1]=>[5,4,6,3,1,2,7,8]=>[3,1,6,5,4,2,7,8] [.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[2,5,4,3,7,8,6,1]=>[3,6,5,4,8,1,2,7]=>[8,1,3,5,6,4,2,7] [.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[2,4,5,3,8,7,6,1]=>[3,5,6,4,1,2,7,8]=>[4,1,3,6,5,2,7,8] [.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[2,3,5,4,8,7,6,1]=>[3,4,6,5,1,2,7,8]=>[5,1,3,4,6,2,7,8] [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[4,3,2,5,8,7,6,1]=>[5,4,3,6,1,2,7,8]=>[6,1,4,5,3,2,7,8] [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[4,3,6,5,2,8,7,1]=>[5,4,7,6,3,1,2,8]=>[3,1,6,5,4,7,2,8] [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,1]=>[3,5,4,7,6,1,2,8]=>[6,1,3,5,4,7,2,8] [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[5,4,3,2,6,8,7,1]=>[6,5,4,3,7,1,2,8]=>[7,1,4,5,6,3,2,8] [.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,8,7,1]=>[3,4,5,6,7,1,2,8]=>[7,1,3,4,5,6,2,8] [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[4,7,6,5,3,2,8,1]=>[5,8,7,6,4,3,1,2]=>[3,1,4,6,5,7,8,2] [.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[5,6,7,8,4,3,1,2]=>[3,1,4,8,5,6,7,2] [.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[3,5,7,6,4,2,8,1]=>[4,6,8,7,5,3,1,2]=>[3,1,5,4,7,6,8,2] [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[4,3,7,6,5,2,8,1]=>[5,4,8,7,6,3,1,2]=>[3,1,6,5,4,7,8,2] [.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[4,3,6,7,5,2,8,1]=>[5,4,7,8,6,3,1,2]=>[3,1,6,5,4,8,7,2] [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[6,5,7,4,8,3,1,2]=>[3,1,8,7,6,5,4,2] [.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[3,5,6,4,7,2,8,1]=>[4,6,7,5,8,3,1,2]=>[3,1,8,4,7,6,5,2] [.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[4,3,6,5,7,2,8,1]=>[5,4,7,6,8,3,1,2]=>[3,1,8,5,4,7,6,2] [.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[2,4,6,5,7,3,8,1]=>[3,5,7,6,8,4,1,2]=>[4,1,3,8,5,7,6,2] [.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[2,4,5,6,7,3,8,1]=>[3,5,6,7,8,4,1,2]=>[4,1,3,8,5,6,7,2] [.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[3,2,6,7,5,4,8,1]=>[4,3,7,8,6,5,1,2]=>[5,1,4,3,6,8,7,2] [.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[2,3,7,6,5,4,8,1]=>[3,4,8,7,6,5,1,2]=>[5,1,3,4,6,7,8,2] [.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[2,3,5,7,6,4,8,1]=>[3,4,6,8,7,5,1,2]=>[5,1,3,4,7,6,8,2] [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[4,3,2,7,6,5,8,1]=>[5,4,3,8,7,6,1,2]=>[6,1,4,5,3,7,8,2] [.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[4,3,2,6,7,5,8,1]=>[5,4,3,7,8,6,1,2]=>[6,1,4,5,3,8,7,2] [.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[3,4,2,7,6,5,8,1]=>[4,5,3,8,7,6,1,2]=>[6,1,5,4,3,7,8,2] [.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[2,4,3,7,6,5,8,1]=>[3,5,4,8,7,6,1,2]=>[6,1,3,5,4,7,8,2] [.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[3,2,4,7,6,5,8,1]=>[4,3,5,8,7,6,1,2]=>[6,1,4,3,5,7,8,2] [.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[2,3,4,7,6,5,8,1]=>[3,4,5,8,7,6,1,2]=>[6,1,3,4,5,7,8,2] [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[5,4,3,2,7,6,8,1]=>[6,5,4,3,8,7,1,2]=>[7,1,4,5,6,3,8,2] [.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[4,3,5,2,7,6,8,1]=>[5,4,6,3,8,7,1,2]=>[7,1,6,5,4,3,8,2] [.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,8,1]=>[4,3,6,5,8,7,1,2]=>[7,1,4,3,6,5,8,2] [.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>[4,3,2,5,7,6,8,1]=>[5,4,3,6,8,7,1,2]=>[7,1,4,5,3,6,8,2] [.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>[3,2,4,5,7,6,8,1]=>[4,3,5,6,8,7,1,2]=>[7,1,4,3,5,6,8,2] [.,[[[[[[.,.],.],.],.],[.,.]],.]]=>[2,3,4,5,7,6,8,1]=>[3,4,5,6,8,7,1,2]=>[7,1,3,4,5,6,8,2] [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[7,6,5,4,3,8,1,2]=>[8,1,4,5,6,7,3,2] [.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[6,5,4,7,3,8,1,2]=>[8,1,7,5,6,4,3,2] [.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[4,5,6,7,3,8,1,2]=>[8,1,7,4,5,6,3,2] [.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[2,5,4,6,3,7,8,1]=>[3,6,5,7,4,8,1,2]=>[8,1,3,7,6,5,4,2] [.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>[4,3,2,6,5,7,8,1]=>[5,4,3,7,6,8,1,2]=>[8,1,4,5,3,7,6,2] [.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>[3,4,2,6,5,7,8,1]=>[4,5,3,7,6,8,1,2]=>[8,1,5,4,3,7,6,2] [.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[2,4,3,6,5,7,8,1]=>[3,5,4,7,6,8,1,2]=>[8,1,3,5,4,7,6,2] [.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[2,3,4,6,5,7,8,1]=>[3,4,5,7,6,8,1,2]=>[8,1,3,4,5,7,6,2] [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[6,5,4,3,7,8,1,2]=>[8,1,4,5,6,3,7,2] [.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[3,5,4,2,6,7,8,1]=>[4,6,5,3,7,8,1,2]=>[8,1,5,4,6,3,7,2] [.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[5,4,6,3,7,8,1,2]=>[8,1,6,5,4,3,7,2] [.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[3,2,5,4,6,7,8,1]=>[4,3,6,5,7,8,1,2]=>[8,1,4,3,6,5,7,2] [.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[2,3,5,4,6,7,8,1]=>[3,4,6,5,7,8,1,2]=>[8,1,3,4,6,5,7,2] [.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[5,4,3,6,7,8,1,2]=>[8,1,4,5,3,6,7,2] [.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[4,5,3,6,7,8,1,2]=>[8,1,5,4,3,6,7,2] [.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[2,4,3,5,6,7,8,1]=>[3,5,4,6,7,8,1,2]=>[8,1,3,5,4,6,7,2] [.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[4,3,5,6,7,8,1,2]=>[8,1,4,3,5,6,7,2] [.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[3,4,5,6,7,8,1,2]=>[8,1,3,4,5,6,7,2] [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,8,7,6,5,4,3,2]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8] [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[1,7,8,6,5,4,3,2]=>[2,8,1,3,4,5,6,7]=>[8,2,1,3,4,5,6,7] [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[1,6,7,8,5,4,3,2]=>[2,7,8,1,3,4,5,6]=>[8,2,1,3,4,5,7,6] [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[1,7,6,5,8,4,3,2]=>[2,8,7,6,1,3,4,5]=>[6,2,1,3,4,7,8,5] [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[1,5,6,7,8,4,3,2]=>[2,6,7,8,1,3,4,5]=>[8,2,1,3,4,6,7,5] [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[1,4,8,7,6,5,3,2]=>[2,5,1,3,4,6,7,8]=>[5,2,1,3,4,6,7,8] [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>[1,5,4,7,8,6,3,2]=>[2,6,5,8,1,3,4,7]=>[8,2,1,3,6,5,4,7] [[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>[1,5,4,6,8,7,3,2]=>[2,6,5,7,1,3,4,8]=>[7,2,1,3,6,5,4,8] [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[1,4,7,6,5,8,3,2]=>[2,5,8,7,6,1,3,4]=>[6,2,1,3,5,7,8,4] [[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>[1,6,5,4,7,8,3,2]=>[2,7,6,5,8,1,3,4]=>[8,2,1,3,6,7,5,4] [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[1,3,8,7,6,5,4,2]=>[2,4,1,3,5,6,7,8]=>[4,2,1,3,5,6,7,8] [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>[2,4,6,8,1,3,5,7]=>[8,2,1,4,3,6,5,7] [[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[1,3,5,7,6,8,4,2]=>[2,4,6,8,7,1,3,5]=>[7,2,1,4,3,6,8,5] [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[1,3,5,6,7,8,4,2]=>[2,4,6,7,8,1,3,5]=>[8,2,1,4,3,6,7,5] [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[2,5,4,1,3,6,7,8]=>[4,2,1,5,3,6,7,8] [[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[1,3,4,7,6,8,5,2]=>[2,4,5,8,7,1,3,6]=>[7,2,1,4,5,3,8,6] [[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[1,3,4,6,7,8,5,2]=>[2,4,5,7,8,1,3,6]=>[8,2,1,4,5,3,7,6] [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[1,5,4,3,8,7,6,2]=>[2,6,5,4,1,3,7,8]=>[4,2,1,5,6,3,7,8] [[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[1,3,5,4,7,8,6,2]=>[2,4,6,5,8,1,3,7]=>[8,2,1,4,6,5,3,7] [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[1,4,3,5,8,7,6,2]=>[2,5,4,6,1,3,7,8]=>[6,2,1,5,4,3,7,8] [[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[1,3,4,5,8,7,6,2]=>[2,4,5,6,1,3,7,8]=>[6,2,1,4,5,3,7,8] [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[2,5,4,7,6,1,3,8]=>[6,2,1,5,4,7,3,8] [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[1,5,4,3,6,8,7,2]=>[2,6,5,4,7,1,3,8]=>[7,2,1,5,6,4,3,8] [[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[1,3,5,7,6,4,8,2]=>[2,4,6,8,7,5,1,3]=>[5,2,1,4,7,6,8,3] [[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[1,3,4,7,6,5,8,2]=>[2,4,5,8,7,6,1,3]=>[6,2,1,4,5,7,8,3] [[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[1,3,5,4,7,6,8,2]=>[2,4,6,5,8,7,1,3]=>[7,2,1,4,6,5,8,3] [[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[1,4,3,6,5,7,8,2]=>[2,5,4,7,6,8,1,3]=>[8,2,1,5,4,7,6,3] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[3,2,1,4,5,6,7,8]=>[2,3,1,4,5,6,7,8] [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[2,1,7,8,6,5,4,3]=>[3,2,8,1,4,5,6,7]=>[8,3,2,1,4,5,6,7] [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[2,1,7,6,8,5,4,3]=>[3,2,8,7,1,4,5,6]=>[7,3,2,1,4,5,8,6] [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[3,2,7,8,1,4,5,6]=>[8,3,2,1,4,5,7,6] [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[2,1,5,8,7,6,4,3]=>[3,2,6,1,4,5,7,8]=>[6,3,2,1,4,5,7,8] [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[2,1,5,7,8,6,4,3]=>[3,2,6,8,1,4,5,7]=>[8,3,2,1,4,6,5,7] [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[2,1,7,6,5,8,4,3]=>[3,2,8,7,6,1,4,5]=>[6,3,2,1,4,7,8,5] [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[2,1,6,7,5,8,4,3]=>[3,2,7,8,6,1,4,5]=>[6,3,2,1,4,8,7,5] [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[2,1,5,6,7,8,4,3]=>[3,2,6,7,8,1,4,5]=>[8,3,2,1,4,6,7,5] [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[2,1,4,8,7,6,5,3]=>[3,2,5,1,4,6,7,8]=>[5,3,2,1,4,6,7,8] [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[2,1,4,7,8,6,5,3]=>[3,2,5,8,1,4,6,7]=>[8,3,2,1,5,4,6,7] [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[2,1,4,6,8,7,5,3]=>[3,2,5,7,1,4,6,8]=>[7,3,2,1,5,4,6,8] [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[2,1,4,5,8,7,6,3]=>[3,2,5,6,1,4,7,8]=>[6,3,2,1,5,4,7,8] [[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[2,1,4,5,7,8,6,3]=>[3,2,5,6,8,1,4,7]=>[8,3,2,1,5,6,4,7] [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[2,1,4,6,5,8,7,3]=>[3,2,5,7,6,1,4,8]=>[6,3,2,1,5,7,4,8] [[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[2,1,5,6,7,4,8,3]=>[3,2,6,7,8,5,1,4]=>[5,3,2,1,8,6,7,4] [[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[2,1,4,6,7,5,8,3]=>[3,2,5,7,8,6,1,4]=>[6,3,2,1,5,8,7,4] [[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[2,1,5,6,4,7,8,3]=>[3,2,6,7,5,8,1,4]=>[8,3,2,1,7,6,5,4] [[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[2,1,4,5,6,7,8,3]=>[3,2,5,6,7,8,1,4]=>[8,3,2,1,5,6,7,4] [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,8,7,6,5,4,3]=>[2,3,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8] [[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[1,2,6,7,8,5,4,3]=>[2,3,7,8,1,4,5,6]=>[8,2,3,1,4,5,7,6] [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[1,2,5,6,7,8,4,3]=>[2,3,6,7,8,1,4,5]=>[8,2,3,1,4,6,7,5] [[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[1,2,4,7,8,6,5,3]=>[2,3,5,8,1,4,6,7]=>[8,2,3,1,5,4,6,7] [[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[1,2,4,6,8,7,5,3]=>[2,3,5,7,1,4,6,8]=>[7,2,3,1,5,4,6,8] [[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[1,2,5,4,7,8,6,3]=>[2,3,6,5,8,1,4,7]=>[8,2,3,1,6,5,4,7] [[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[1,2,4,5,7,8,6,3]=>[2,3,5,6,8,1,4,7]=>[8,2,3,1,5,6,4,7] [[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[1,2,5,7,6,4,8,3]=>[2,3,6,8,7,5,1,4]=>[5,2,3,1,7,6,8,4] [[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[1,2,6,5,4,7,8,3]=>[2,3,7,6,5,8,1,4]=>[8,2,3,1,6,7,5,4] [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8] [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[3,2,1,7,8,6,5,4]=>[4,3,2,8,1,5,6,7]=>[8,3,4,2,1,5,6,7] [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[3,2,1,6,8,7,5,4]=>[4,3,2,7,1,5,6,8]=>[7,3,4,2,1,5,6,8] [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[3,2,1,7,6,8,5,4]=>[4,3,2,8,7,1,5,6]=>[7,3,4,2,1,5,8,6] [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[3,2,1,6,7,8,5,4]=>[4,3,2,7,8,1,5,6]=>[8,3,4,2,1,5,7,6] [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[3,2,1,5,8,7,6,4]=>[4,3,2,6,1,5,7,8]=>[6,3,4,2,1,5,7,8] [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[3,2,1,5,7,8,6,4]=>[4,3,2,6,8,1,5,7]=>[8,3,4,2,1,6,5,7] [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[3,2,1,5,6,8,7,4]=>[4,3,2,6,7,1,5,8]=>[7,3,4,2,1,6,5,8] [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[3,2,1,7,6,5,8,4]=>[4,3,2,8,7,6,1,5]=>[6,3,4,2,1,7,8,5] [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[3,2,1,5,6,7,8,4]=>[4,3,2,6,7,8,1,5]=>[8,3,4,2,1,6,7,5] [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[2,3,1,8,7,6,5,4]=>[3,4,2,1,5,6,7,8]=>[2,4,3,1,5,6,7,8] [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[2,3,1,6,8,7,5,4]=>[3,4,2,7,1,5,6,8]=>[7,4,3,2,1,5,6,8] [[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[2,3,1,6,7,8,5,4]=>[3,4,2,7,8,1,5,6]=>[8,4,3,2,1,5,7,6] [[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[2,3,1,5,7,6,8,4]=>[3,4,2,6,8,7,1,5]=>[7,4,3,2,1,6,8,5] [[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[2,3,1,5,6,7,8,4]=>[3,4,2,6,7,8,1,5]=>[8,4,3,2,1,6,7,5] [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[1,3,2,8,7,6,5,4]=>[2,4,3,1,5,6,7,8]=>[3,2,4,1,5,6,7,8] [[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[1,3,2,5,7,8,6,4]=>[2,4,3,6,8,1,5,7]=>[8,2,4,3,1,6,5,7] [[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[1,3,2,5,7,6,8,4]=>[2,4,3,6,8,7,1,5]=>[7,2,4,3,1,6,8,5] [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[2,1,3,8,7,6,5,4]=>[3,2,4,1,5,6,7,8]=>[4,3,2,1,5,6,7,8] [[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[2,1,3,7,8,6,5,4]=>[3,2,4,8,1,5,6,7]=>[8,3,2,4,1,5,6,7] [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,8,7,6,5,4]=>[2,3,4,1,5,6,7,8]=>[4,2,3,1,5,6,7,8] [[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[1,2,3,7,8,6,5,4]=>[2,3,4,8,1,5,6,7]=>[8,2,3,4,1,5,6,7] [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[1,2,3,6,8,7,5,4]=>[2,3,4,7,1,5,6,8]=>[7,2,3,4,1,5,6,8] [[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[1,2,3,7,6,8,5,4]=>[2,3,4,8,7,1,5,6]=>[7,2,3,4,1,5,8,6] [[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[1,2,3,6,7,8,5,4]=>[2,3,4,7,8,1,5,6]=>[8,2,3,4,1,5,7,6] [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[1,2,3,6,5,8,7,4]=>[2,3,4,7,6,1,5,8]=>[6,2,3,4,1,7,5,8] [[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[1,2,3,7,6,5,8,4]=>[2,3,4,8,7,6,1,5]=>[6,2,3,4,1,7,8,5] [[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[1,2,3,5,7,6,8,4]=>[2,3,4,6,8,7,1,5]=>[7,2,3,4,1,6,8,5] [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[2,3,4,6,7,8,1,5]=>[8,2,3,4,1,6,7,5] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8] [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[4,3,2,1,7,8,6,5]=>[5,4,3,2,8,1,6,7]=>[8,3,4,5,2,1,6,7] [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[4,3,2,1,6,8,7,5]=>[5,4,3,2,7,1,6,8]=>[7,3,4,5,2,1,6,8] [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[4,3,2,1,7,6,8,5]=>[5,4,3,2,8,7,1,6]=>[7,3,4,5,2,1,8,6] [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[4,3,2,1,6,7,8,5]=>[5,4,3,2,7,8,1,6]=>[8,3,4,5,2,1,7,6] [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[3,4,2,1,8,7,6,5]=>[4,5,3,2,1,6,7,8]=>[2,3,5,4,1,6,7,8] [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[4,5,3,2,8,1,6,7]=>[8,3,5,4,2,1,6,7] [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[3,4,2,1,6,8,7,5]=>[4,5,3,2,7,1,6,8]=>[7,3,5,4,2,1,6,8] [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[2,4,3,1,8,7,6,5]=>[3,5,4,2,1,6,7,8]=>[2,4,3,5,1,6,7,8] [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[3,5,4,2,7,1,6,8]=>[7,4,3,5,2,1,6,8] [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[2,4,3,1,7,6,8,5]=>[3,5,4,2,8,7,1,6]=>[7,4,3,5,2,1,8,6] [[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[2,4,3,1,6,7,8,5]=>[3,5,4,2,7,8,1,6]=>[8,4,3,5,2,1,7,6] [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[3,2,4,1,8,7,6,5]=>[4,3,5,2,1,6,7,8]=>[2,5,4,3,1,6,7,8] [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[2,3,4,1,8,7,6,5]=>[3,4,5,2,1,6,7,8]=>[2,5,3,4,1,6,7,8] [[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[2,3,4,1,6,8,7,5]=>[3,4,5,2,7,1,6,8]=>[7,5,3,4,2,1,6,8] [[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[2,3,4,1,7,6,8,5]=>[3,4,5,2,8,7,1,6]=>[7,5,3,4,2,1,8,6] [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[1,4,3,2,8,7,6,5]=>[2,5,4,3,1,6,7,8]=>[3,2,4,5,1,6,7,8] [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[1,3,4,2,8,7,6,5]=>[2,4,5,3,1,6,7,8]=>[3,2,5,4,1,6,7,8] [[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[1,3,4,2,7,6,8,5]=>[2,4,5,3,8,7,1,6]=>[7,2,5,4,3,1,8,6] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[3,2,5,4,1,6,7,8]=>[4,3,2,5,1,6,7,8] [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[3,2,5,4,8,1,6,7]=>[8,3,2,5,4,1,6,7] [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[3,2,5,4,7,1,6,8]=>[7,3,2,5,4,1,6,8] [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5]=>[3,2,5,4,8,7,1,6]=>[7,3,2,5,4,1,8,6] [[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[2,1,4,3,6,7,8,5]=>[3,2,5,4,7,8,1,6]=>[8,3,2,5,4,1,7,6] [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[1,2,4,3,8,7,6,5]=>[2,3,5,4,1,6,7,8]=>[4,2,3,5,1,6,7,8] [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[3,2,1,4,8,7,6,5]=>[4,3,2,5,1,6,7,8]=>[5,3,4,2,1,6,7,8] [[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[3,2,1,4,7,8,6,5]=>[4,3,2,5,8,1,6,7]=>[8,3,4,2,5,1,6,7] [[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[3,2,1,4,6,8,7,5]=>[4,3,2,5,7,1,6,8]=>[7,3,4,2,5,1,6,8] [[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[3,2,1,4,6,7,8,5]=>[4,3,2,5,7,8,1,6]=>[8,3,4,2,5,1,7,6] [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[2,3,1,4,8,7,6,5]=>[3,4,2,5,1,6,7,8]=>[5,4,3,2,1,6,7,8] [[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[2,3,1,4,7,6,8,5]=>[3,4,2,5,8,7,1,6]=>[7,4,3,2,5,1,8,6] [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[1,3,2,4,8,7,6,5]=>[2,4,3,5,1,6,7,8]=>[5,2,4,3,1,6,7,8] [[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[1,3,2,4,6,7,8,5]=>[2,4,3,5,7,8,1,6]=>[8,2,4,3,5,1,7,6] [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[2,1,3,4,8,7,6,5]=>[3,2,4,5,1,6,7,8]=>[5,3,2,4,1,6,7,8] [[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[2,1,3,4,7,6,8,5]=>[3,2,4,5,8,7,1,6]=>[7,3,2,4,5,1,8,6] [[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[2,1,3,4,6,7,8,5]=>[3,2,4,5,7,8,1,6]=>[8,3,2,4,5,1,7,6] [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,8,7,6,5]=>[2,3,4,5,1,6,7,8]=>[5,2,3,4,1,6,7,8] [[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[1,2,3,4,7,8,6,5]=>[2,3,4,5,8,1,6,7]=>[8,2,3,4,5,1,6,7] [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,7,6,8,5]=>[2,3,4,5,8,7,1,6]=>[7,2,3,4,5,1,8,6] [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[5,4,3,2,1,7,8,6]=>[6,5,4,3,2,8,1,7]=>[8,3,4,5,6,2,1,7] [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[4,5,3,2,1,8,7,6]=>[5,6,4,3,2,1,7,8]=>[2,3,4,6,5,1,7,8] [[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[3,5,4,2,1,7,8,6]=>[4,6,5,3,2,8,1,7]=>[8,3,5,4,6,2,1,7] [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[4,3,5,2,1,8,7,6]=>[5,4,6,3,2,1,7,8]=>[2,3,6,5,4,1,7,8] [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[3,4,5,2,1,8,7,6]=>[4,5,6,3,2,1,7,8]=>[2,3,6,4,5,1,7,8] [[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[3,4,5,2,1,7,8,6]=>[4,5,6,3,2,8,1,7]=>[8,3,6,4,5,2,1,7] [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[2,5,4,3,1,8,7,6]=>[3,6,5,4,2,1,7,8]=>[2,4,3,5,6,1,7,8] [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>[2,5,4,3,1,7,8,6]=>[3,6,5,4,2,8,1,7]=>[8,4,3,5,6,2,1,7] [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[4,3,6,5,2,1,7,8]=>[2,5,4,3,6,1,7,8] [[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[3,2,5,4,1,7,8,6]=>[4,3,6,5,2,8,1,7]=>[8,5,4,3,6,2,1,7] [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[4,3,2,5,1,8,7,6]=>[5,4,3,6,2,1,7,8]=>[2,6,4,5,3,1,7,8] [[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[3,4,2,5,1,7,8,6]=>[4,5,3,6,2,8,1,7]=>[8,6,5,4,3,2,1,7] [[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>[2,4,3,5,1,7,8,6]=>[3,5,4,6,2,8,1,7]=>[8,6,3,5,4,2,1,7] [[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[2,3,4,5,1,8,7,6]=>[3,4,5,6,2,1,7,8]=>[2,6,3,4,5,1,7,8] [[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[1,3,5,4,2,7,8,6]=>[2,4,6,5,3,8,1,7]=>[8,2,5,4,6,3,1,7] [[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[1,3,4,5,2,8,7,6]=>[2,4,5,6,3,1,7,8]=>[3,2,6,4,5,1,7,8] [[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[1,2,5,4,3,7,8,6]=>[2,3,6,5,4,8,1,7]=>[8,2,3,5,6,4,1,7] [[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[1,3,2,5,4,7,8,6]=>[2,4,3,6,5,8,1,7]=>[8,2,4,3,6,5,1,7] [[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[1,2,3,5,4,7,8,6]=>[2,3,4,6,5,8,1,7]=>[8,2,3,4,6,5,1,7] [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[4,3,2,1,5,8,7,6]=>[5,4,3,2,6,1,7,8]=>[6,3,4,5,2,1,7,8] [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[4,3,2,1,5,7,8,6]=>[5,4,3,2,6,8,1,7]=>[8,3,4,5,2,6,1,7] [[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[3,4,2,1,5,8,7,6]=>[4,5,3,2,6,1,7,8]=>[6,3,5,4,2,1,7,8] [[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[1,4,3,2,5,7,8,6]=>[2,5,4,3,6,8,1,7]=>[8,2,4,5,3,6,1,7] [[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[3,2,1,4,5,7,8,6]=>[4,3,2,5,6,8,1,7]=>[8,3,4,2,5,6,1,7] [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,1,8] [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[5,6,4,3,2,1,8,7]=>[6,7,5,4,3,2,1,8]=>[2,3,4,5,7,6,1,8] [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[4,6,5,3,2,1,8,7]=>[5,7,6,4,3,2,1,8]=>[2,3,4,6,5,7,1,8] [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[5,4,6,3,2,1,8,7]=>[6,5,7,4,3,2,1,8]=>[2,3,4,7,6,5,1,8] [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[5,6,7,4,3,2,1,8]=>[2,3,4,7,5,6,1,8] [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[3,6,5,4,2,1,8,7]=>[4,7,6,5,3,2,1,8]=>[2,3,5,4,6,7,1,8] [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[3,5,6,4,2,1,8,7]=>[4,6,7,5,3,2,1,8]=>[2,3,5,4,7,6,1,8] [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[5,4,3,6,2,1,8,7]=>[6,5,4,7,3,2,1,8]=>[2,3,7,5,6,4,1,8] [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[4,5,3,6,2,1,8,7]=>[5,6,4,7,3,2,1,8]=>[2,3,7,6,5,4,1,8] [[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[3,4,5,6,2,1,8,7]=>[4,5,6,7,3,2,1,8]=>[2,3,7,4,5,6,1,8] [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[2,4,6,5,3,1,8,7]=>[3,5,7,6,4,2,1,8]=>[2,4,3,6,5,7,1,8] [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[2,3,6,5,4,1,8,7]=>[3,4,7,6,5,2,1,8]=>[2,5,3,4,6,7,1,8] [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[2,4,3,6,5,1,8,7]=>[3,5,4,7,6,2,1,8]=>[2,6,3,5,4,7,1,8] [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[5,4,3,2,6,1,8,7]=>[6,5,4,3,7,2,1,8]=>[2,7,4,5,6,3,1,8] [[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[4,3,5,2,6,1,8,7]=>[5,4,6,3,7,2,1,8]=>[2,7,6,5,4,3,1,8] [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[3,2,7,6,5,4,1,8]=>[4,3,2,5,6,7,1,8] [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[2,1,5,6,4,3,8,7]=>[3,2,6,7,5,4,1,8]=>[4,3,2,5,7,6,1,8] [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,6,5,3,8,7]=>[3,2,5,7,6,4,1,8]=>[4,3,2,6,5,7,1,8] [[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[1,2,3,6,5,4,8,7]=>[2,3,4,7,6,5,1,8]=>[5,2,3,4,6,7,1,8] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[5,4,3,2,7,6,1,8]=>[6,3,4,5,2,7,1,8] [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[4,5,3,2,7,6,1,8]=>[6,3,5,4,2,7,1,8] [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7]=>[3,5,4,2,7,6,1,8]=>[6,4,3,5,2,7,1,8] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[3,2,5,4,7,6,1,8]=>[6,3,2,5,4,7,1,8] [[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[2,5,4,3,1,6,8,7]=>[3,6,5,4,2,7,1,8]=>[7,4,3,5,6,2,1,8] [[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[2,1,5,4,3,6,8,7]=>[3,2,6,5,4,7,1,8]=>[7,3,2,5,6,4,1,8] [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[4,3,2,1,5,6,8,7]=>[5,4,3,2,6,7,1,8]=>[7,3,4,5,2,6,1,8] [[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[1,4,3,2,5,6,8,7]=>[2,5,4,3,6,7,1,8]=>[7,2,4,5,3,6,1,8] [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,1]=>[2,3,4,5,6,7,8,1] [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[7,8,6,5,4,3,2,1]=>[2,3,4,5,6,8,7,1] [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[5,7,6,4,3,2,1,8]=>[6,8,7,5,4,3,2,1]=>[2,3,4,5,7,6,8,1] [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[7,6,8,5,4,3,2,1]=>[2,3,4,5,8,7,6,1] [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[6,7,8,5,4,3,2,1]=>[2,3,4,5,8,6,7,1] [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[4,7,6,5,3,2,1,8]=>[5,8,7,6,4,3,2,1]=>[2,3,4,6,5,7,8,1] [[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>[4,6,7,5,3,2,1,8]=>[5,7,8,6,4,3,2,1]=>[2,3,4,6,5,8,7,1] [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[4,5,7,6,3,2,1,8]=>[5,6,8,7,4,3,2,1]=>[2,3,4,7,5,6,8,1] [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[7,6,5,8,4,3,2,1]=>[2,3,4,8,6,7,5,1] [[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[6,7,5,8,4,3,2,1]=>[2,3,4,8,7,6,5,1] [[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>[4,6,5,7,3,2,1,8]=>[5,7,6,8,4,3,2,1]=>[2,3,4,8,5,7,6,1] [[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[5,6,7,8,4,3,2,1]=>[2,3,4,8,5,6,7,1] [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[3,5,7,6,4,2,1,8]=>[4,6,8,7,5,3,2,1]=>[2,3,5,4,7,6,8,1] [[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[3,5,6,7,4,2,1,8]=>[4,6,7,8,5,3,2,1]=>[2,3,5,4,8,6,7,1] [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[3,4,7,6,5,2,1,8]=>[4,5,8,7,6,3,2,1]=>[2,3,6,4,5,7,8,1] [[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>[3,5,4,7,6,2,1,8]=>[4,6,5,8,7,3,2,1]=>[2,3,7,4,6,5,8,1] [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[7,6,5,4,8,3,2,1]=>[2,3,8,5,6,7,4,1] [[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[6,5,7,4,8,3,2,1]=>[2,3,8,7,6,5,4,1] [[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[6,5,4,7,8,3,2,1]=>[2,3,8,5,6,4,7,1] [[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[2,4,6,7,5,3,1,8]=>[3,5,7,8,6,4,2,1]=>[2,4,3,6,5,8,7,1] [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[2,3,7,6,5,4,1,8]=>[3,4,8,7,6,5,2,1]=>[2,5,3,4,6,7,8,1] [[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[2,3,5,6,7,4,1,8]=>[3,4,6,7,8,5,2,1]=>[2,5,3,4,8,6,7,1] [[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[3,2,4,6,7,5,1,8]=>[4,3,5,7,8,6,2,1]=>[2,6,4,3,5,8,7,1] [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,1,8]=>[4,3,6,5,8,7,2,1]=>[2,7,4,3,6,5,8,1] [[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[4,3,2,5,7,6,1,8]=>[5,4,3,6,8,7,2,1]=>[2,7,4,5,3,6,8,1] [[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>[3,6,5,4,2,7,1,8]=>[4,7,6,5,3,8,2,1]=>[2,8,5,4,6,7,3,1] [[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[4,5,6,7,3,8,2,1]=>[2,8,7,4,5,6,3,1] [[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>[3,4,2,6,5,7,1,8]=>[4,5,3,7,6,8,2,1]=>[2,8,5,4,3,7,6,1] [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[6,5,4,3,7,8,2,1]=>[2,8,4,5,6,3,7,1] [[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[1,3,5,7,6,4,2,8]=>[2,4,6,8,7,5,3,1]=>[3,2,5,4,7,6,8,1] [[[.,.],[[.,.],[[[.,.],.],.]]],.]=>[1,3,5,6,7,4,2,8]=>[2,4,6,7,8,5,3,1]=>[3,2,5,4,8,6,7,1] [[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[1,3,5,4,7,6,2,8]=>[2,4,6,5,8,7,3,1]=>[3,2,7,4,6,5,8,1] [[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>[1,3,6,5,4,7,2,8]=>[2,4,7,6,5,8,3,1]=>[3,2,8,4,6,7,5,1] [[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>[1,5,4,3,6,7,2,8]=>[2,6,5,4,7,8,3,1]=>[3,2,8,5,6,4,7,1] [[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[1,2,5,6,7,4,3,8]=>[2,3,6,7,8,5,4,1]=>[4,2,3,5,8,6,7,1] [[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[3,2,1,5,7,6,4,8]=>[4,3,2,6,8,7,5,1]=>[5,3,4,2,7,6,8,1] [[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>[2,3,1,6,7,5,4,8]=>[3,4,2,7,8,6,5,1]=>[5,4,3,2,6,8,7,1] [[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[1,3,2,5,7,6,4,8]=>[2,4,3,6,8,7,5,1]=>[5,2,4,3,7,6,8,1] [[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[1,2,3,7,6,5,4,8]=>[2,3,4,8,7,6,5,1]=>[5,2,3,4,6,7,8,1] [[[[[.,.],.],.],[[[.,.],.],.]],.]=>[1,2,3,5,6,7,4,8]=>[2,3,4,6,7,8,5,1]=>[5,2,3,4,8,6,7,1] [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[4,3,2,1,7,6,5,8]=>[5,4,3,2,8,7,6,1]=>[6,3,4,5,2,7,8,1] [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[4,3,2,1,6,7,5,8]=>[5,4,3,2,7,8,6,1]=>[6,3,4,5,2,8,7,1] [[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[3,2,4,1,7,6,5,8]=>[4,3,5,2,8,7,6,1]=>[6,5,4,3,2,7,8,1] [[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[1,4,3,2,7,6,5,8]=>[2,5,4,3,8,7,6,1]=>[6,2,4,5,3,7,8,1] [[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[1,4,3,2,6,7,5,8]=>[2,5,4,3,7,8,6,1]=>[6,2,4,5,3,8,7,1] [[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[3,2,1,4,7,6,5,8]=>[4,3,2,5,8,7,6,1]=>[6,3,4,2,5,7,8,1] [[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[1,3,2,4,7,6,5,8]=>[2,4,3,5,8,7,6,1]=>[6,2,4,3,5,7,8,1] [[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[1,2,3,4,7,6,5,8]=>[2,3,4,5,8,7,6,1]=>[6,2,3,4,5,7,8,1] [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[5,4,3,2,1,7,6,8]=>[6,5,4,3,2,8,7,1]=>[7,3,4,5,6,2,8,1] [[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>[3,5,4,2,1,7,6,8]=>[4,6,5,3,2,8,7,1]=>[7,3,5,4,6,2,8,1] [[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>[2,5,4,3,1,7,6,8]=>[3,6,5,4,2,8,7,1]=>[7,4,3,5,6,2,8,1] [[[.,[[.,.],[[.,.],.]]],[.,.]],.]=>[2,4,5,3,1,7,6,8]=>[3,5,6,4,2,8,7,1]=>[7,4,3,6,5,2,8,1] [[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[3,2,5,4,1,7,6,8]=>[4,3,6,5,2,8,7,1]=>[7,5,4,3,6,2,8,1] [[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[1,3,5,4,2,7,6,8]=>[2,4,6,5,3,8,7,1]=>[7,2,5,4,6,3,8,1] [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[3,2,1,5,4,7,6,8]=>[4,3,2,6,5,8,7,1]=>[7,3,4,2,6,5,8,1] [[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[2,3,1,5,4,7,6,8]=>[3,4,2,6,5,8,7,1]=>[7,4,3,2,6,5,8,1] [[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[1,3,2,5,4,7,6,8]=>[2,4,3,6,5,8,7,1]=>[7,2,4,3,6,5,8,1] [[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[1,2,3,5,4,7,6,8]=>[2,3,4,6,5,8,7,1]=>[7,2,3,4,6,5,8,1] [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[4,3,2,1,5,7,6,8]=>[5,4,3,2,6,8,7,1]=>[7,3,4,5,2,6,8,1] [[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[1,4,3,2,5,7,6,8]=>[2,5,4,3,6,8,7,1]=>[7,2,4,5,3,6,8,1] [[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[1,3,2,4,5,7,6,8]=>[2,4,3,5,6,8,7,1]=>[7,2,4,3,5,6,8,1] [[[[[[[.,.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,7,6,8]=>[2,3,4,5,6,8,7,1]=>[7,2,3,4,5,6,8,1] [[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[3,6,5,4,2,1,7,8]=>[4,7,6,5,3,2,8,1]=>[8,3,5,4,6,7,2,1] [[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[4,5,6,7,3,2,8,1]=>[8,3,7,4,5,6,2,1] [[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>[2,4,6,5,3,1,7,8]=>[3,5,7,6,4,2,8,1]=>[8,4,3,6,5,7,2,1] [[[.,[[.,.],[[[.,.],.],.]]],.],.]=>[2,4,5,6,3,1,7,8]=>[3,5,6,7,4,2,8,1]=>[8,4,3,7,5,6,2,1] [[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[2,3,6,5,4,1,7,8]=>[3,4,7,6,5,2,8,1]=>[8,5,3,4,6,7,2,1] [[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[4,3,2,6,5,1,7,8]=>[5,4,3,7,6,2,8,1]=>[8,6,4,5,3,7,2,1] [[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[6,5,4,3,7,2,8,1]=>[8,7,4,5,6,3,2,1] [[[.,[[.,[[.,.],[.,.]]],.]],.],.]=>[3,5,4,2,6,1,7,8]=>[4,6,5,3,7,2,8,1]=>[8,7,5,4,6,3,2,1] [[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[1,4,3,6,5,2,7,8]=>[2,5,4,7,6,3,8,1]=>[8,2,6,5,4,7,3,1] [[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[2,1,5,6,4,3,7,8]=>[3,2,6,7,5,4,8,1]=>[8,3,2,5,7,6,4,1] [[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[1,2,6,5,4,3,7,8]=>[2,3,7,6,5,4,8,1]=>[8,2,3,5,6,7,4,1] [[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[3,2,1,5,6,4,7,8]=>[4,3,2,6,7,5,8,1]=>[8,3,4,2,7,6,5,1] [[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>[2,3,1,6,5,4,7,8]=>[3,4,2,7,6,5,8,1]=>[8,4,3,2,6,7,5,1] [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[4,3,2,1,6,5,7,8]=>[5,4,3,2,7,6,8,1]=>[8,3,4,5,2,7,6,1] [[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[3,2,4,1,6,5,7,8]=>[4,3,5,2,7,6,8,1]=>[8,5,4,3,2,7,6,1] [[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[2,1,4,3,6,5,7,8]=>[3,2,5,4,7,6,8,1]=>[8,3,2,5,4,7,6,1] [[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[1,2,4,3,6,5,7,8]=>[2,3,5,4,7,6,8,1]=>[8,2,3,5,4,7,6,1] [[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[1,3,2,4,6,5,7,8]=>[2,4,3,5,7,6,8,1]=>[8,2,4,3,5,7,6,1] [[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[2,1,3,4,6,5,7,8]=>[3,2,4,5,7,6,8,1]=>[8,3,2,4,5,7,6,1] [[[[[[[.,.],.],.],.],[.,.]],.],.]=>[1,2,3,4,6,5,7,8]=>[2,3,4,5,7,6,8,1]=>[8,2,3,4,5,7,6,1] [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[6,5,4,3,2,7,8,1]=>[8,3,4,5,6,2,7,1] [[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[5,4,6,3,2,7,8,1]=>[8,3,6,5,4,2,7,1] [[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[2,5,4,3,1,6,7,8]=>[3,6,5,4,2,7,8,1]=>[8,4,3,5,6,2,7,1] [[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[2,4,5,3,1,6,7,8]=>[3,5,6,4,2,7,8,1]=>[8,4,3,6,5,2,7,1] [[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[5,4,3,6,2,7,8,1]=>[8,6,4,5,3,2,7,1] [[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[3,4,5,6,2,7,8,1]=>[8,6,3,4,5,2,7,1] [[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[1,3,2,5,4,6,7,8]=>[2,4,3,6,5,7,8,1]=>[8,2,4,3,6,5,7,1] [[[[[[[.,.],.],.],[.,.]],.],.],.]=>[1,2,3,5,4,6,7,8]=>[2,3,4,6,5,7,8,1]=>[8,2,3,4,6,5,7,1] [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[5,4,3,2,6,7,8,1]=>[8,3,4,5,2,6,7,1] [[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[2,4,3,1,5,6,7,8]=>[3,5,4,2,6,7,8,1]=>[8,4,3,5,2,6,7,1] [[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[4,3,5,2,6,7,8,1]=>[8,5,4,3,2,6,7,1] [[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[1,4,3,2,5,6,7,8]=>[2,5,4,3,6,7,8,1]=>[8,2,4,5,3,6,7,1] [[[[[[.,.],[[.,.],.]],.],.],.],.]=>[1,3,4,2,5,6,7,8]=>[2,4,5,3,6,7,8,1]=>[8,2,5,4,3,6,7,1] [[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[2,1,4,3,5,6,7,8]=>[3,2,5,4,6,7,8,1]=>[8,3,2,5,4,6,7,1] [[[[[[[.,.],.],[.,.]],.],.],.],.]=>[1,2,4,3,5,6,7,8]=>[2,3,5,4,6,7,8,1]=>[8,2,3,5,4,6,7,1] [[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[4,3,2,5,6,7,8,1]=>[8,3,4,2,5,6,7,1] [[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[3,4,2,5,6,7,8,1]=>[8,4,3,2,5,6,7,1] [[[[[[[.,.],[.,.]],.],.],.],.],.]=>[1,3,2,4,5,6,7,8]=>[2,4,3,5,6,7,8,1]=>[8,2,4,3,5,6,7,1] [[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,1]=>[8,3,2,4,5,6,7,1] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[8,2,3,4,5,6,7,1]
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.
Map
Lehmer code rotation
Description
Sends a permutation $\pi$ to the unique permutation $\tau$ (of the same length) such that every entry in the Lehmer code of $\tau$ is cyclically one larger than the Lehmer code of $\pi$.
Map
Clarke-Steingrimsson-Zeng
Description
The Clarke-Steingrimsson-Zeng map sending descents to excedances.
This is the map $\Phi$ in [1, sec.3]. In particular, it satisfies
$$(des, Dbot, Ddif, Res)\pi = (exc, Ebot, Edif, Ine)\Phi(\pi),$$
where
• $des$ is the number of descents, St000021The number of descents of a permutation.,
• $exc$ is the number of (strict) excedances, St000155The number of exceedances (also excedences) of a permutation.,
• $Dbot$ is the sum of the descent bottoms, St000154The sum of the descent bottoms of a permutation.,
• $Ebot$ is the sum of the excedance bottoms,
• $Ddif$ is the sum of the descent differences, St000030The sum of the descent differences of a permutations.,
• $Edif$ is the sum of the excedance differences (or depth), St000029The depth of a permutation.,
• $Res$ is the sum of the (right) embracing numbers,
• $Ine$ is the sum of the side numbers.