Identifier
Mp00017: Binary trees to 312-avoiding permutationPermutations
Mp00149: Permutations Lehmer code rotationPermutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1] [.,[.,.]]=>[2,1]=>[1,2] [[.,.],.]=>[1,2]=>[2,1] [.,[.,[.,.]]]=>[3,2,1]=>[1,2,3] [.,[[.,.],.]]=>[2,3,1]=>[3,1,2] [[.,.],[.,.]]=>[1,3,2]=>[2,1,3] [[.,[.,.]],.]=>[2,1,3]=>[3,2,1] [[[.,.],.],.]=>[1,2,3]=>[2,3,1] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[1,2,3,4] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[4,1,2,3] [.,[[.,.],[.,.]]]=>[2,4,3,1]=>[3,1,2,4] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[4,3,1,2] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[3,4,1,2] [[.,.],[.,[.,.]]]=>[1,4,3,2]=>[2,1,3,4] [[.,.],[[.,.],.]]=>[1,3,4,2]=>[2,4,1,3] [[.,[.,.]],[.,.]]=>[2,1,4,3]=>[3,2,1,4] [[[.,.],.],[.,.]]=>[1,2,4,3]=>[2,3,1,4] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[4,3,2,1] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[3,4,2,1] [[[.,.],[.,.]],.]=>[1,3,2,4]=>[2,4,3,1] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[3,2,4,1] [[[[.,.],.],.],.]=>[1,2,3,4]=>[2,3,4,1] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[1,2,3,4,5] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[5,1,2,3,4] [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[4,1,2,3,5] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[5,4,1,2,3] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[4,5,1,2,3] [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[3,1,2,4,5] [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[3,5,1,2,4] [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[4,3,1,2,5] [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[3,4,1,2,5] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[5,4,3,1,2] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[4,5,3,1,2] [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[3,5,4,1,2] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[4,3,5,1,2] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[3,4,5,1,2] [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[2,1,3,4,5] [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[2,5,1,3,4] [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[2,4,1,3,5] [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[2,5,4,1,3] [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[2,4,5,1,3] [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[3,2,1,4,5] [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[3,2,5,1,4] [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[2,3,1,4,5] [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[2,3,5,1,4] [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[4,3,2,1,5] [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[3,4,2,1,5] [[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[2,4,3,1,5] [[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[3,2,4,1,5] [[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[2,3,4,1,5] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[5,4,3,2,1] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[4,5,3,2,1] [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[3,5,4,2,1] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[4,3,5,2,1] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[3,4,5,2,1] [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[2,5,4,3,1] [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[2,4,5,3,1] [[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[3,2,5,4,1] [[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[2,3,5,4,1] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[4,3,2,5,1] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[3,4,2,5,1] [[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[2,4,3,5,1] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[3,2,4,5,1] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[2,3,4,5,1] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[6,1,2,3,4,5] [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[5,1,2,3,4,6] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[6,5,1,2,3,4] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[5,6,1,2,3,4] [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[4,1,2,3,5,6] [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[4,6,1,2,3,5] [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[5,4,1,2,3,6] [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[4,5,1,2,3,6] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[6,5,4,1,2,3] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[5,6,4,1,2,3] [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[4,6,5,1,2,3] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[5,4,6,1,2,3] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[4,5,6,1,2,3] [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[3,1,2,4,5,6] [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[3,6,1,2,4,5] [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[3,5,1,2,4,6] [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[3,6,5,1,2,4] [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[3,5,6,1,2,4] [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[4,3,1,2,5,6] [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[4,3,6,1,2,5] [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[3,4,1,2,5,6] [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[3,4,6,1,2,5] [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[5,4,3,1,2,6] [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[4,5,3,1,2,6] [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[3,5,4,1,2,6] [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[4,3,5,1,2,6] [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[3,4,5,1,2,6] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[6,5,4,3,1,2] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[5,6,4,3,1,2] [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[4,6,5,3,1,2] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[5,4,6,3,1,2] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[4,5,6,3,1,2] [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[3,6,5,4,1,2] [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[3,5,6,4,1,2] [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[4,3,6,5,1,2] [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[3,4,6,5,1,2] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[5,4,3,6,1,2] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[4,5,3,6,1,2] [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[3,5,4,6,1,2] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[4,3,5,6,1,2] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[3,4,5,6,1,2] [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[2,1,3,4,5,6] [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[2,6,1,3,4,5] [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[2,5,1,3,4,6] [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[2,6,5,1,3,4] [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[2,5,6,1,3,4] [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[2,4,1,3,5,6] [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[2,4,6,1,3,5] [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[2,5,4,1,3,6] [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[2,4,5,1,3,6] [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[2,6,5,4,1,3] [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[2,5,6,4,1,3] [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[2,4,6,5,1,3] [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[2,5,4,6,1,3] [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[2,4,5,6,1,3] [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[3,2,1,4,5,6] [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[3,2,6,1,4,5] [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[3,2,5,1,4,6] [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[3,2,6,5,1,4] [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[3,2,5,6,1,4] [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[2,3,1,4,5,6] [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[2,3,6,1,4,5] [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[2,3,5,1,4,6] [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[2,3,6,5,1,4] [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[2,3,5,6,1,4] [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[4,3,2,1,5,6] [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[4,3,2,6,1,5] [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[3,4,2,1,5,6] [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[3,4,2,6,1,5] [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[2,4,3,1,5,6] [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[2,4,3,6,1,5] [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[3,2,4,1,5,6] [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[3,2,4,6,1,5] [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[2,3,4,1,5,6] [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[2,3,4,6,1,5] [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[5,4,3,2,1,6] [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[4,5,3,2,1,6] [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[3,5,4,2,1,6] [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[4,3,5,2,1,6] [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[3,4,5,2,1,6] [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6] [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[2,4,5,3,1,6] [[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[3,2,5,4,1,6] [[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6] [[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[4,3,2,5,1,6] [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[3,4,2,5,1,6] [[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6] [[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[3,2,4,5,1,6] [[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[5,6,4,3,2,1] [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[4,6,5,3,2,1] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[5,4,6,3,2,1] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[4,5,6,3,2,1] [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[3,6,5,4,2,1] [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[3,5,6,4,2,1] [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[4,3,6,5,2,1] [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[3,4,6,5,2,1] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[5,4,3,6,2,1] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[4,5,3,6,2,1] [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[3,5,4,6,2,1] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[4,3,5,6,2,1] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[3,4,5,6,2,1] [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[2,6,5,4,3,1] [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[2,5,6,4,3,1] [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[2,4,6,5,3,1] [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[2,5,4,6,3,1] [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[2,4,5,6,3,1] [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[3,2,6,5,4,1] [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[3,2,5,6,4,1] [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1] [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[2,3,5,6,4,1] [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[4,3,2,6,5,1] [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[3,4,2,6,5,1] [[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1] [[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[3,2,4,6,5,1] [[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[5,4,3,2,6,1] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[4,5,3,2,6,1] [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[3,5,4,2,6,1] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[4,3,5,2,6,1] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[3,4,5,2,6,1] [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1] [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[2,4,5,3,6,1] [[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[3,2,5,4,6,1] [[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[4,3,2,5,6,1] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[3,4,2,5,6,1] [[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[3,2,4,5,6,1] [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1] [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[7,1,2,3,4,5,6] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[6,1,2,3,4,5,7] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[7,6,1,2,3,4,5] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[6,7,1,2,3,4,5] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[5,1,2,3,4,6,7] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[5,7,1,2,3,4,6] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[6,5,1,2,3,4,7] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[5,6,1,2,3,4,7] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[7,6,5,1,2,3,4] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[6,7,5,1,2,3,4] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[5,7,6,1,2,3,4] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[6,5,7,1,2,3,4] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[5,6,7,1,2,3,4] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[4,1,2,3,5,6,7] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[4,7,1,2,3,5,6] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[4,6,1,2,3,5,7] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[4,7,6,1,2,3,5] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[4,6,7,1,2,3,5] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[5,4,1,2,3,6,7] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[5,4,7,1,2,3,6] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[4,5,1,2,3,6,7] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[4,5,7,1,2,3,6] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[6,5,4,1,2,3,7] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[5,6,4,1,2,3,7] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[4,6,5,1,2,3,7] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[5,4,6,1,2,3,7] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[4,5,6,1,2,3,7] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[7,6,5,4,1,2,3] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[6,7,5,4,1,2,3] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[5,7,6,4,1,2,3] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[6,5,7,4,1,2,3] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[5,6,7,4,1,2,3] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[4,7,6,5,1,2,3] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[4,6,7,5,1,2,3] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[5,4,7,6,1,2,3] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[4,5,7,6,1,2,3] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[6,5,4,7,1,2,3] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[5,6,4,7,1,2,3] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[4,6,5,7,1,2,3] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[5,4,6,7,1,2,3] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[4,5,6,7,1,2,3] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[3,1,2,4,5,6,7] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[3,7,1,2,4,5,6] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[3,6,1,2,4,5,7] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[3,7,6,1,2,4,5] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[3,6,7,1,2,4,5] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[3,5,1,2,4,6,7] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[3,5,7,1,2,4,6] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[3,6,5,1,2,4,7] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[3,5,6,1,2,4,7] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[3,7,6,5,1,2,4] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[3,6,7,5,1,2,4] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[3,5,7,6,1,2,4] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[3,6,5,7,1,2,4] [.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[3,5,6,7,1,2,4] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[4,3,1,2,5,6,7] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[4,3,7,1,2,5,6] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[4,3,6,1,2,5,7] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[4,3,7,6,1,2,5] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[4,3,6,7,1,2,5] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[3,4,1,2,5,6,7] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[3,4,7,1,2,5,6] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[3,4,6,1,2,5,7] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[3,4,7,6,1,2,5] [.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[3,4,6,7,1,2,5] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[5,4,3,1,2,6,7] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[5,4,3,7,1,2,6] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[4,5,3,1,2,6,7] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[4,5,3,7,1,2,6] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[3,5,4,1,2,6,7] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[3,5,4,7,1,2,6] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[4,3,5,1,2,6,7] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[4,3,5,7,1,2,6] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[3,4,5,1,2,6,7] [.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[3,4,5,7,1,2,6] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[6,5,4,3,1,2,7] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[5,6,4,3,1,2,7] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[4,6,5,3,1,2,7] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[5,4,6,3,1,2,7] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[4,5,6,3,1,2,7] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[3,6,5,4,1,2,7] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[3,5,6,4,1,2,7] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[4,3,6,5,1,2,7] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[3,4,6,5,1,2,7] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[5,4,3,6,1,2,7] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[4,5,3,6,1,2,7] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[3,5,4,6,1,2,7] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[4,3,5,6,1,2,7] [.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[3,4,5,6,1,2,7] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[7,6,5,4,3,1,2] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[6,7,5,4,3,1,2] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[5,7,6,4,3,1,2] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[6,5,7,4,3,1,2] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[5,6,7,4,3,1,2] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[4,7,6,5,3,1,2] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[4,6,7,5,3,1,2] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[5,4,7,6,3,1,2] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[4,5,7,6,3,1,2] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[6,5,4,7,3,1,2] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[5,6,4,7,3,1,2] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[4,6,5,7,3,1,2] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[5,4,6,7,3,1,2] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[4,5,6,7,3,1,2] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[3,7,6,5,4,1,2] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[3,6,7,5,4,1,2] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[3,5,7,6,4,1,2] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[3,6,5,7,4,1,2] [.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[3,5,6,7,4,1,2] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[4,3,7,6,5,1,2] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[4,3,6,7,5,1,2] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[3,4,7,6,5,1,2] [.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[3,4,6,7,5,1,2] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[5,4,3,7,6,1,2] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[4,5,3,7,6,1,2] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[3,5,4,7,6,1,2] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[4,3,5,7,6,1,2] [.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[3,4,5,7,6,1,2] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[6,5,4,3,7,1,2] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[5,6,4,3,7,1,2] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[4,6,5,3,7,1,2] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[5,4,6,3,7,1,2] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[4,5,6,3,7,1,2] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[3,6,5,4,7,1,2] [.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[3,5,6,4,7,1,2] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[4,3,6,5,7,1,2] [.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[3,4,6,5,7,1,2] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[5,4,3,6,7,1,2] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[4,5,3,6,7,1,2] [.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[3,5,4,6,7,1,2] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[4,3,5,6,7,1,2] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[3,4,5,6,7,1,2] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[2,1,3,4,5,6,7] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[2,7,1,3,4,5,6] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[2,6,1,3,4,5,7] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[2,7,6,1,3,4,5] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[2,6,7,1,3,4,5] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[2,5,1,3,4,6,7] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[2,5,7,1,3,4,6] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[2,6,5,1,3,4,7] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[2,5,6,1,3,4,7] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[2,7,6,5,1,3,4] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[2,6,7,5,1,3,4] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[2,5,7,6,1,3,4] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[2,6,5,7,1,3,4] [[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[2,5,6,7,1,3,4] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[2,4,1,3,5,6,7] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[2,4,7,1,3,5,6] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[2,4,6,1,3,5,7] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[2,4,7,6,1,3,5] [[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[2,4,6,7,1,3,5] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[2,5,4,1,3,6,7] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[2,5,4,7,1,3,6] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[2,4,5,1,3,6,7] [[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[2,4,5,7,1,3,6] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[2,6,5,4,1,3,7] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[2,5,6,4,1,3,7] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[2,4,6,5,1,3,7] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[2,5,4,6,1,3,7] [[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[2,4,5,6,1,3,7] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[2,7,6,5,4,1,3] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[2,6,7,5,4,1,3] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[2,5,7,6,4,1,3] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[2,6,5,7,4,1,3] [[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[2,5,6,7,4,1,3] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[2,4,7,6,5,1,3] [[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[2,4,6,7,5,1,3] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[2,5,4,7,6,1,3] [[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[2,4,5,7,6,1,3] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[2,6,5,4,7,1,3] [[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[2,5,6,4,7,1,3] [[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[2,4,6,5,7,1,3] [[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[2,5,4,6,7,1,3] [[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[2,4,5,6,7,1,3] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[3,2,1,4,5,6,7] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[3,2,7,1,4,5,6] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[3,2,6,1,4,5,7] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[3,2,7,6,1,4,5] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[3,2,6,7,1,4,5] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[3,2,5,1,4,6,7] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[3,2,5,7,1,4,6] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[3,2,6,5,1,4,7] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[3,2,5,6,1,4,7] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[3,2,7,6,5,1,4] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[3,2,6,7,5,1,4] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[3,2,5,7,6,1,4] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[3,2,6,5,7,1,4] [[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[3,2,5,6,7,1,4] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[2,3,1,4,5,6,7] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[2,3,7,1,4,5,6] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[2,3,6,1,4,5,7] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[2,3,7,6,1,4,5] [[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[2,3,6,7,1,4,5] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[2,3,5,1,4,6,7] [[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[2,3,5,7,1,4,6] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[2,3,6,5,1,4,7] [[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[2,3,5,6,1,4,7] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[2,3,7,6,5,1,4] [[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[2,3,6,7,5,1,4] [[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[2,3,5,7,6,1,4] [[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[2,3,6,5,7,1,4] [[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[2,3,5,6,7,1,4] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[4,3,2,1,5,6,7] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[4,3,2,7,1,5,6] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[4,3,2,6,1,5,7] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[4,3,2,7,6,1,5] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[4,3,2,6,7,1,5] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[3,4,2,1,5,6,7] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[3,4,2,7,1,5,6] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[3,4,2,6,1,5,7] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[3,4,2,7,6,1,5] [[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[3,4,2,6,7,1,5] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[2,4,3,1,5,6,7] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[2,4,3,7,1,5,6] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[2,4,3,6,1,5,7] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[2,4,3,7,6,1,5] [[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[2,4,3,6,7,1,5] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[3,2,4,1,5,6,7] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[3,2,4,7,1,5,6] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[3,2,4,6,1,5,7] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[3,2,4,7,6,1,5] [[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[3,2,4,6,7,1,5] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[2,3,4,1,5,6,7] [[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[2,3,4,7,1,5,6] [[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[2,3,4,6,1,5,7] [[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[2,3,4,7,6,1,5] [[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[2,3,4,6,7,1,5] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[5,4,3,2,1,6,7] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[5,4,3,2,7,1,6] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[4,5,3,2,1,6,7] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[4,5,3,2,7,1,6] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[3,5,4,2,1,6,7] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[3,5,4,2,7,1,6] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[4,3,5,2,1,6,7] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[4,3,5,2,7,1,6] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[3,4,5,2,1,6,7] [[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[3,4,5,2,7,1,6] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[2,5,4,3,1,6,7] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[2,5,4,3,7,1,6] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[2,4,5,3,1,6,7] [[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[2,4,5,3,7,1,6] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[3,2,5,4,1,6,7] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[3,2,5,4,7,1,6] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,6,7] [[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[2,3,5,4,7,1,6] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[4,3,2,5,1,6,7] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[4,3,2,5,7,1,6] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[3,4,2,5,1,6,7] [[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[3,4,2,5,7,1,6] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,6,7] [[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[2,4,3,5,7,1,6] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[3,2,4,5,1,6,7] [[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[3,2,4,5,7,1,6] [[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,6,7] [[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[2,3,4,5,7,1,6] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[6,5,4,3,2,1,7] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[5,6,4,3,2,1,7] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[4,6,5,3,2,1,7] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[5,4,6,3,2,1,7] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[4,5,6,3,2,1,7] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[3,6,5,4,2,1,7] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[3,5,6,4,2,1,7] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[4,3,6,5,2,1,7] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[3,4,6,5,2,1,7] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[5,4,3,6,2,1,7] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[4,5,3,6,2,1,7] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[3,5,4,6,2,1,7] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[4,3,5,6,2,1,7] [[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[3,4,5,6,2,1,7] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[2,5,6,4,3,1,7] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[2,4,6,5,3,1,7] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[2,5,4,6,3,1,7] [[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[2,4,5,6,3,1,7] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[3,2,6,5,4,1,7] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[3,2,5,6,4,1,7] 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[[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[4,3,2,5,7,6,1] [[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[3,4,2,5,7,6,1] [[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1] [[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[3,2,4,5,7,6,1] [[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[6,5,4,3,2,7,1] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[5,6,4,3,2,7,1] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[4,6,5,3,2,7,1] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[5,4,6,3,2,7,1] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[4,5,6,3,2,7,1] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[3,6,5,4,2,7,1] [[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[3,5,6,4,2,7,1] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[4,3,6,5,2,7,1] [[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[3,4,6,5,2,7,1] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[5,4,3,6,2,7,1] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[4,5,3,6,2,7,1] [[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[3,5,4,6,2,7,1] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[4,3,5,6,2,7,1] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[3,4,5,6,2,7,1] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1] [[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[2,5,6,4,3,7,1] [[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[2,4,6,5,3,7,1] [[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[2,5,4,6,3,7,1] [[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[2,4,5,6,3,7,1] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[3,2,6,5,4,7,1] [[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[3,2,5,6,4,7,1] [[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1] [[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[2,3,5,6,4,7,1] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[4,3,2,6,5,7,1] [[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[3,4,2,6,5,7,1] [[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1] [[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[3,2,4,6,5,7,1] [[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[5,4,3,2,6,7,1] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[4,5,3,2,6,7,1] [[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[3,5,4,2,6,7,1] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[4,3,5,2,6,7,1] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[3,4,5,2,6,7,1] [[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1] [[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[2,4,5,3,6,7,1] [[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[3,2,5,4,6,7,1] [[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[4,3,2,5,6,7,1] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[3,4,2,5,6,7,1] [[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[3,2,4,5,6,7,1] [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1] [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8] [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[8,1,2,3,4,5,6,7] [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[6,8,7,5,4,3,2,1]=>[7,1,2,3,4,5,6,8] [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[8,7,1,2,3,4,5,6] [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[7,8,1,2,3,4,5,6] [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[5,8,7,6,4,3,2,1]=>[6,1,2,3,4,5,7,8] [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[5,7,8,6,4,3,2,1]=>[6,8,1,2,3,4,5,7] [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[6,5,8,7,4,3,2,1]=>[7,6,1,2,3,4,5,8] [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[5,6,8,7,4,3,2,1]=>[6,7,1,2,3,4,5,8] [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[8,7,6,1,2,3,4,5] [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[7,8,6,1,2,3,4,5] [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[5,7,6,8,4,3,2,1]=>[6,8,7,1,2,3,4,5] [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[7,6,8,1,2,3,4,5] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[6,7,8,1,2,3,4,5] [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[4,8,7,6,5,3,2,1]=>[5,1,2,3,4,6,7,8] [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[4,7,8,6,5,3,2,1]=>[5,8,1,2,3,4,6,7] [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[4,6,8,7,5,3,2,1]=>[5,7,1,2,3,4,6,8] [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[4,7,6,8,5,3,2,1]=>[5,8,7,1,2,3,4,6] [.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[4,6,7,8,5,3,2,1]=>[5,7,8,1,2,3,4,6] [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[4,5,8,7,6,3,2,1]=>[5,6,1,2,3,4,7,8] [.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[4,5,7,8,6,3,2,1]=>[5,6,8,1,2,3,4,7] [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[4,6,5,8,7,3,2,1]=>[5,7,6,1,2,3,4,8] [.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[4,5,6,8,7,3,2,1]=>[5,6,7,1,2,3,4,8] [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[8,7,6,5,1,2,3,4] [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[7,8,6,5,1,2,3,4] [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[5,7,6,4,8,3,2,1]=>[6,8,7,5,1,2,3,4] [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[7,6,8,5,1,2,3,4] [.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[6,7,8,5,1,2,3,4] [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[4,7,6,5,8,3,2,1]=>[5,8,7,6,1,2,3,4] [.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[4,6,7,5,8,3,2,1]=>[5,7,8,6,1,2,3,4] [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[5,4,7,6,8,3,2,1]=>[6,5,8,7,1,2,3,4] [.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[4,5,7,6,8,3,2,1]=>[5,6,8,7,1,2,3,4] [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[7,6,5,8,1,2,3,4] [.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[6,7,5,8,1,2,3,4] [.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[4,6,5,7,8,3,2,1]=>[5,7,6,8,1,2,3,4] [.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[6,5,7,8,1,2,3,4] [.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[5,6,7,8,1,2,3,4] [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[3,8,7,6,5,4,2,1]=>[4,1,2,3,5,6,7,8] [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[3,5,8,7,6,4,2,1]=>[4,6,1,2,3,5,7,8] [.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[3,5,7,8,6,4,2,1]=>[4,6,8,1,2,3,5,7] [.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[3,5,6,8,7,4,2,1]=>[4,6,7,1,2,3,5,8] [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[3,7,6,5,8,4,2,1]=>[4,8,7,6,1,2,3,5] [.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[3,6,7,5,8,4,2,1]=>[4,7,8,6,1,2,3,5] [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>[4,6,7,8,1,2,3,5] [.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[4,3,6,7,8,5,2,1]=>[5,4,7,8,1,2,3,6] [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[3,4,8,7,6,5,2,1]=>[4,5,1,2,3,6,7,8] [.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[3,4,6,7,8,5,2,1]=>[4,5,7,8,1,2,3,6] [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[5,4,3,7,8,6,2,1]=>[6,5,4,8,1,2,3,7] [.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>[4,5,3,7,8,6,2,1]=>[5,6,4,8,1,2,3,7] [.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[4,3,5,7,8,6,2,1]=>[5,4,6,8,1,2,3,7] [.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>[3,4,5,7,8,6,2,1]=>[4,5,6,8,1,2,3,7] [.,[.,[[.,[[[.,.],.],.]],[.,.]]]]=>[4,5,6,3,8,7,2,1]=>[5,6,7,4,1,2,3,8] [.,[.,[[[.,[.,.]],[.,.]],[.,.]]]]=>[4,3,6,5,8,7,2,1]=>[5,4,7,6,1,2,3,8] [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[5,4,3,6,8,7,2,1]=>[6,5,4,7,1,2,3,8] [.,[.,[[[.,[[.,.],.]],.],[.,.]]]]=>[4,5,3,6,8,7,2,1]=>[5,6,4,7,1,2,3,8] [.,[.,[[[[.,[.,.]],.],.],[.,.]]]]=>[4,3,5,6,8,7,2,1]=>[5,4,6,7,1,2,3,8] [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[8,7,6,5,4,1,2,3] [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[5,7,6,4,3,8,2,1]=>[6,8,7,5,4,1,2,3] [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[4,7,6,5,3,8,2,1]=>[5,8,7,6,4,1,2,3] [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[6,5,7,8,4,1,2,3] [.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[5,6,7,8,4,1,2,3] [.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[3,4,7,6,5,8,2,1]=>[4,5,8,7,6,1,2,3] [.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>[4,5,3,7,6,8,2,1]=>[5,6,4,8,7,1,2,3] [.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>[4,3,5,7,6,8,2,1]=>[5,4,6,8,7,1,2,3] [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[7,6,5,4,8,1,2,3] [.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[3,4,6,5,7,8,2,1]=>[4,5,7,6,8,1,2,3] [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[2,8,7,6,5,4,3,1]=>[3,1,2,4,5,6,7,8] [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[2,7,6,8,5,4,3,1]=>[3,8,7,1,2,4,5,6] [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[2,5,6,7,8,4,3,1]=>[3,6,7,8,1,2,4,5] [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[2,4,8,7,6,5,3,1]=>[3,5,1,2,4,6,7,8] [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[2,4,6,8,7,5,3,1]=>[3,5,7,1,2,4,6,8] [.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[2,4,6,7,8,5,3,1]=>[3,5,7,8,1,2,4,6] [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[2,5,4,8,7,6,3,1]=>[3,6,5,1,2,4,7,8] [.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[2,4,5,7,8,6,3,1]=>[3,5,6,8,1,2,4,7] [.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[2,5,6,4,8,7,3,1]=>[3,6,7,5,1,2,4,8] [.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[2,4,6,5,8,7,3,1]=>[3,5,7,6,1,2,4,8] [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[2,7,6,5,4,8,3,1]=>[3,8,7,6,5,1,2,4] [.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[2,6,7,5,4,8,3,1]=>[3,7,8,6,5,1,2,4] [.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[2,4,7,6,5,8,3,1]=>[3,5,8,7,6,1,2,4] [.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>[2,6,5,4,7,8,3,1]=>[3,7,6,5,8,1,2,4] [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[3,2,8,7,6,5,4,1]=>[4,3,1,2,5,6,7,8] [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[3,2,6,8,7,5,4,1]=>[4,3,7,1,2,5,6,8] [.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[3,2,5,7,6,8,4,1]=>[4,3,6,8,7,1,2,5] [.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[3,2,5,6,7,8,4,1]=>[4,3,6,7,8,1,2,5] [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[2,3,8,7,6,5,4,1]=>[3,4,1,2,5,6,7,8] [.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[2,3,6,7,8,5,4,1]=>[3,4,7,8,1,2,5,6] [.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[2,3,5,8,7,6,4,1]=>[3,4,6,1,2,5,7,8] [.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[2,3,5,7,8,6,4,1]=>[3,4,6,8,1,2,5,7] [.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[2,3,7,6,5,8,4,1]=>[3,4,8,7,6,1,2,5] [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[2,3,5,6,7,8,4,1]=>[3,4,6,7,8,1,2,5] [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[4,3,2,8,7,6,5,1]=>[5,4,3,1,2,6,7,8] [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[4,3,2,7,8,6,5,1]=>[5,4,3,8,1,2,6,7] [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[4,3,2,6,8,7,5,1]=>[5,4,3,7,1,2,6,8] [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[3,4,2,8,7,6,5,1]=>[4,5,3,1,2,6,7,8] [.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[3,4,2,7,8,6,5,1]=>[4,5,3,8,1,2,6,7] [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[2,4,3,8,7,6,5,1]=>[3,5,4,1,2,6,7,8] [.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[2,4,3,6,8,7,5,1]=>[3,5,4,7,1,2,6,8] [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[3,2,4,8,7,6,5,1]=>[4,3,5,1,2,6,7,8] [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[2,3,4,8,7,6,5,1]=>[3,4,5,1,2,6,7,8] [.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[2,3,4,6,7,8,5,1]=>[3,4,5,7,8,1,2,6] [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[5,4,3,2,8,7,6,1]=>[6,5,4,3,1,2,7,8] [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[5,4,3,2,7,8,6,1]=>[6,5,4,3,8,1,2,7] [.,[[.,[.,[[.,.],.]]],[.,[.,.]]]]=>[4,5,3,2,8,7,6,1]=>[5,6,4,3,1,2,7,8] [.,[[.,[[.,[.,.]],.]],[.,[.,.]]]]=>[4,3,5,2,8,7,6,1]=>[5,4,6,3,1,2,7,8] [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[2,5,4,3,8,7,6,1]=>[3,6,5,4,1,2,7,8] [.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[2,5,4,3,7,8,6,1]=>[3,6,5,4,8,1,2,7] [.,[[[.,.],[[.,.],.]],[.,[.,.]]]]=>[2,4,5,3,8,7,6,1]=>[3,5,6,4,1,2,7,8] [.,[[[[.,.],.],[.,.]],[.,[.,.]]]]=>[2,3,5,4,8,7,6,1]=>[3,4,6,5,1,2,7,8] [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[4,3,2,5,8,7,6,1]=>[5,4,3,6,1,2,7,8] [.,[[[[.,.],[.,.]],.],[.,[.,.]]]]=>[2,4,3,5,8,7,6,1]=>[3,5,4,6,1,2,7,8] [.,[[[[[.,.],.],.],.],[.,[.,.]]]]=>[2,3,4,5,8,7,6,1]=>[3,4,5,6,1,2,7,8] [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[6,5,4,3,2,8,7,1]=>[7,6,5,4,3,1,2,8] [.,[[.,[.,[[.,.],[.,.]]]],[.,.]]]=>[4,6,5,3,2,8,7,1]=>[5,7,6,4,3,1,2,8] [.,[[.,[.,[[.,[.,.]],.]]],[.,.]]]=>[5,4,6,3,2,8,7,1]=>[6,5,7,4,3,1,2,8] [.,[[.,[.,[[[.,.],.],.]]],[.,.]]]=>[4,5,6,3,2,8,7,1]=>[5,6,7,4,3,1,2,8] [.,[[.,[[.,.],[.,[.,.]]]],[.,.]]]=>[3,6,5,4,2,8,7,1]=>[4,7,6,5,3,1,2,8] [.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[3,5,6,4,2,8,7,1]=>[4,6,7,5,3,1,2,8] [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[4,3,6,5,2,8,7,1]=>[5,4,7,6,3,1,2,8] [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[5,4,3,6,2,8,7,1]=>[6,5,4,7,3,1,2,8] [.,[[[.,.],[.,[.,[.,.]]]],[.,.]]]=>[2,6,5,4,3,8,7,1]=>[3,7,6,5,4,1,2,8] [.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[2,4,6,5,3,8,7,1]=>[3,5,7,6,4,1,2,8] [.,[[[.,[.,[.,.]]],[.,.]],[.,.]]]=>[4,3,2,6,5,8,7,1]=>[5,4,3,7,6,1,2,8] [.,[[[.,[[.,.],.]],[.,.]],[.,.]]]=>[3,4,2,6,5,8,7,1]=>[4,5,3,7,6,1,2,8] [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,1]=>[3,5,4,7,6,1,2,8] [.,[[[[[.,.],.],.],[.,.]],[.,.]]]=>[2,3,4,6,5,8,7,1]=>[3,4,5,7,6,1,2,8] [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[5,4,3,2,6,8,7,1]=>[6,5,4,3,7,1,2,8] [.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[2,5,4,3,6,8,7,1]=>[3,6,5,4,7,1,2,8] [.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>[4,3,2,5,6,8,7,1]=>[5,4,3,6,7,1,2,8] [.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[3,4,2,5,6,8,7,1]=>[4,5,3,6,7,1,2,8] [.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[2,4,3,5,6,8,7,1]=>[3,5,4,6,7,1,2,8] [.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,8,7,1]=>[3,4,5,6,7,1,2,8] [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[4,7,6,5,3,2,8,1]=>[5,8,7,6,4,3,1,2] [.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[4,6,5,7,3,2,8,1]=>[5,7,6,8,4,3,1,2] [.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[5,6,7,8,4,3,1,2] [.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[3,5,7,6,4,2,8,1]=>[4,6,8,7,5,3,1,2] [.,[[.,[[.,.],[[[.,.],.],.]]],.]]=>[3,5,6,7,4,2,8,1]=>[4,6,7,8,5,3,1,2] [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[4,3,7,6,5,2,8,1]=>[5,4,8,7,6,3,1,2] [.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[4,3,6,7,5,2,8,1]=>[5,4,7,8,6,3,1,2] [.,[[.,[[[.,.],.],[.,[.,.]]]],.]]=>[3,4,7,6,5,2,8,1]=>[4,5,8,7,6,3,1,2] [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[5,4,3,7,6,2,8,1]=>[6,5,4,8,7,3,1,2] [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[7,6,5,4,8,3,1,2] [.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[4,6,5,3,7,2,8,1]=>[5,7,6,4,8,3,1,2] [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[6,5,7,4,8,3,1,2] [.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[5,6,7,4,8,3,1,2] [.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[3,6,5,4,7,2,8,1]=>[4,7,6,5,8,3,1,2] [.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[3,5,6,4,7,2,8,1]=>[4,6,7,5,8,3,1,2] [.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[4,3,6,5,7,2,8,1]=>[5,4,7,6,8,3,1,2] [.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[6,5,4,7,8,3,1,2] [.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>[3,5,4,6,7,2,8,1]=>[4,6,5,7,8,3,1,2] [.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[2,5,4,7,6,3,8,1]=>[3,6,5,8,7,4,1,2] [.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[2,4,6,5,7,3,8,1]=>[3,5,7,6,8,4,1,2] [.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[2,4,5,6,7,3,8,1]=>[3,5,6,7,8,4,1,2] [.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[3,2,6,7,5,4,8,1]=>[4,3,7,8,6,5,1,2] [.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[3,2,6,5,7,4,8,1]=>[4,3,7,6,8,5,1,2] [.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[2,3,7,6,5,4,8,1]=>[3,4,8,7,6,5,1,2] [.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[2,3,5,7,6,4,8,1]=>[3,4,6,8,7,5,1,2] [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[4,3,2,7,6,5,8,1]=>[5,4,3,8,7,6,1,2] [.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[4,3,2,6,7,5,8,1]=>[5,4,3,7,8,6,1,2] [.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[3,4,2,7,6,5,8,1]=>[4,5,3,8,7,6,1,2] [.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[2,4,3,7,6,5,8,1]=>[3,5,4,8,7,6,1,2] [.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[3,2,4,7,6,5,8,1]=>[4,3,5,8,7,6,1,2] [.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[2,3,4,7,6,5,8,1]=>[3,4,5,8,7,6,1,2] [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[5,4,3,2,7,6,8,1]=>[6,5,4,3,8,7,1,2] [.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[4,3,5,2,7,6,8,1]=>[5,4,6,3,8,7,1,2] [.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[2,5,4,3,7,6,8,1]=>[3,6,5,4,8,7,1,2] [.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,8,1]=>[4,3,6,5,8,7,1,2] [.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[2,3,5,4,7,6,8,1]=>[3,4,6,5,8,7,1,2] [.,[[[[.,[.,[.,.]]],.],[.,.]],.]]=>[4,3,2,5,7,6,8,1]=>[5,4,3,6,8,7,1,2] [.,[[[[[.,.],[.,.]],.],[.,.]],.]]=>[2,4,3,5,7,6,8,1]=>[3,5,4,6,8,7,1,2] [.,[[[[[.,[.,.]],.],.],[.,.]],.]]=>[3,2,4,5,7,6,8,1]=>[4,3,5,6,8,7,1,2] [.,[[[[[[.,.],.],.],.],[.,.]],.]]=>[2,3,4,5,7,6,8,1]=>[3,4,5,6,8,7,1,2] [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[7,6,5,4,3,8,1,2] [.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[6,5,7,4,3,8,1,2] [.,[[[.,[[.,.],[.,[.,.]]]],.],.]]=>[3,6,5,4,2,7,8,1]=>[4,7,6,5,3,8,1,2] [.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[3,5,6,4,2,7,8,1]=>[4,6,7,5,3,8,1,2] [.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[6,5,4,7,3,8,1,2] [.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[4,5,6,7,3,8,1,2] [.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[2,6,5,4,3,7,8,1]=>[3,7,6,5,4,8,1,2] [.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[2,5,4,6,3,7,8,1]=>[3,6,5,7,4,8,1,2] [.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[2,3,6,5,4,7,8,1]=>[3,4,7,6,5,8,1,2] [.,[[[[[.,.],.],[[.,.],.]],.],.]]=>[2,3,5,6,4,7,8,1]=>[3,4,6,7,5,8,1,2] [.,[[[[.,[.,[.,.]]],[.,.]],.],.]]=>[4,3,2,6,5,7,8,1]=>[5,4,3,7,6,8,1,2] [.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>[3,4,2,6,5,7,8,1]=>[4,5,3,7,6,8,1,2] [.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[2,4,3,6,5,7,8,1]=>[3,5,4,7,6,8,1,2] [.,[[[[[[.,.],.],.],[.,.]],.],.]]=>[2,3,4,6,5,7,8,1]=>[3,4,5,7,6,8,1,2] [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[6,5,4,3,7,8,1,2] [.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[3,5,4,2,6,7,8,1]=>[4,6,5,3,7,8,1,2] [.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[5,4,6,3,7,8,1,2] [.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[2,5,4,3,6,7,8,1]=>[3,6,5,4,7,8,1,2] [.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[2,4,5,3,6,7,8,1]=>[3,5,6,4,7,8,1,2] [.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[3,2,5,4,6,7,8,1]=>[4,3,6,5,7,8,1,2] [.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[2,3,5,4,6,7,8,1]=>[3,4,6,5,7,8,1,2] [.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[5,4,3,6,7,8,1,2] [.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[4,5,3,6,7,8,1,2] [.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[2,4,3,5,6,7,8,1]=>[3,5,4,6,7,8,1,2] [.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[4,3,5,6,7,8,1,2] [.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[3,4,5,6,7,8,1,2] [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,8,7,6,5,4,3,2]=>[2,1,3,4,5,6,7,8] [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[1,7,8,6,5,4,3,2]=>[2,8,1,3,4,5,6,7] [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[1,6,8,7,5,4,3,2]=>[2,7,1,3,4,5,6,8] [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[1,7,6,8,5,4,3,2]=>[2,8,7,1,3,4,5,6] [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[1,6,7,8,5,4,3,2]=>[2,7,8,1,3,4,5,6] [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[1,7,6,5,8,4,3,2]=>[2,8,7,6,1,3,4,5] [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[1,6,7,5,8,4,3,2]=>[2,7,8,6,1,3,4,5] [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[1,5,7,6,8,4,3,2]=>[2,6,8,7,1,3,4,5] [[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[1,6,5,7,8,4,3,2]=>[2,7,6,8,1,3,4,5] [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[1,5,6,7,8,4,3,2]=>[2,6,7,8,1,3,4,5] [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[1,4,8,7,6,5,3,2]=>[2,5,1,3,4,6,7,8] [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[1,4,7,8,6,5,3,2]=>[2,5,8,1,3,4,6,7] [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[1,4,6,8,7,5,3,2]=>[2,5,7,1,3,4,6,8] [[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[1,4,6,7,8,5,3,2]=>[2,5,7,8,1,3,4,6] [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>[1,5,4,7,8,6,3,2]=>[2,6,5,8,1,3,4,7] [[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[1,4,5,7,8,6,3,2]=>[2,5,6,8,1,3,4,7] [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[1,4,6,5,8,7,3,2]=>[2,5,7,6,1,3,4,8] [[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>[1,5,4,6,8,7,3,2]=>[2,6,5,7,1,3,4,8] [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[1,4,7,6,5,8,3,2]=>[2,5,8,7,6,1,3,4] [[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>[1,6,5,4,7,8,3,2]=>[2,7,6,5,8,1,3,4] [[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[1,5,4,6,7,8,3,2]=>[2,6,5,7,8,1,3,4] [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[1,3,8,7,6,5,4,2]=>[2,4,1,3,5,6,7,8] [[.,.],[[.,.],[.,[[.,.],[.,.]]]]]=>[1,3,6,8,7,5,4,2]=>[2,4,7,1,3,5,6,8] [[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[1,3,6,7,8,5,4,2]=>[2,4,7,8,1,3,5,6] [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[1,3,5,8,7,6,4,2]=>[2,4,6,1,3,5,7,8] [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>[2,4,6,8,1,3,5,7] [[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[1,3,5,7,6,8,4,2]=>[2,4,6,8,7,1,3,5] [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[1,3,6,5,7,8,4,2]=>[2,4,7,6,8,1,3,5] [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[1,3,5,6,7,8,4,2]=>[2,4,6,7,8,1,3,5] [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[2,5,4,1,3,6,7,8] [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[1,4,3,7,8,6,5,2]=>[2,5,4,8,1,3,6,7] [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[1,4,3,6,8,7,5,2]=>[2,5,4,7,1,3,6,8] [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[1,4,3,7,6,8,5,2]=>[2,5,4,8,7,1,3,6] [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[1,3,4,8,7,6,5,2]=>[2,4,5,1,3,6,7,8] [[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[1,3,4,7,6,8,5,2]=>[2,4,5,8,7,1,3,6] [[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[1,3,4,6,7,8,5,2]=>[2,4,5,7,8,1,3,6] [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[1,5,4,3,8,7,6,2]=>[2,6,5,4,1,3,7,8] [[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[1,3,5,4,7,8,6,2]=>[2,4,6,5,8,1,3,7] [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[1,4,3,5,8,7,6,2]=>[2,5,4,6,1,3,7,8] [[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[1,4,3,5,7,8,6,2]=>[2,5,4,6,8,1,3,7] [[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[1,3,4,5,8,7,6,2]=>[2,4,5,6,1,3,7,8] [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[1,6,5,4,3,8,7,2]=>[2,7,6,5,4,1,3,8] [[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[1,5,6,4,3,8,7,2]=>[2,6,7,5,4,1,3,8] [[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[1,4,6,5,3,8,7,2]=>[2,5,7,6,4,1,3,8] [[.,.],[[[.,.],[.,[.,.]]],[.,.]]]=>[1,3,6,5,4,8,7,2]=>[2,4,7,6,5,1,3,8] [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[2,5,4,7,6,1,3,8] [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[1,5,4,3,6,8,7,2]=>[2,6,5,4,7,1,3,8] [[.,.],[[.,[.,[.,[[.,.],.]]]],.]]=>[1,6,7,5,4,3,8,2]=>[2,7,8,6,5,4,1,3] [[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[1,3,5,7,6,4,8,2]=>[2,4,6,8,7,5,1,3] [[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[1,3,4,7,6,5,8,2]=>[2,4,5,8,7,6,1,3] [[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[1,3,5,4,7,6,8,2]=>[2,4,6,5,8,7,1,3] [[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[1,4,3,6,5,7,8,2]=>[2,5,4,7,6,8,1,3] [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[1,5,4,3,6,7,8,2]=>[2,6,5,4,7,8,1,3] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[3,2,1,4,5,6,7,8] [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[2,1,7,8,6,5,4,3]=>[3,2,8,1,4,5,6,7] [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[2,1,6,8,7,5,4,3]=>[3,2,7,1,4,5,6,8] [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[2,1,7,6,8,5,4,3]=>[3,2,8,7,1,4,5,6] [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[3,2,7,8,1,4,5,6] [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[2,1,5,8,7,6,4,3]=>[3,2,6,1,4,5,7,8] [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[2,1,5,7,8,6,4,3]=>[3,2,6,8,1,4,5,7] [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[2,1,6,5,8,7,4,3]=>[3,2,7,6,1,4,5,8] [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[2,1,7,6,5,8,4,3]=>[3,2,8,7,6,1,4,5] [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[2,1,6,7,5,8,4,3]=>[3,2,7,8,6,1,4,5] [[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[2,1,6,5,7,8,4,3]=>[3,2,7,6,8,1,4,5] [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[2,1,5,6,7,8,4,3]=>[3,2,6,7,8,1,4,5] [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[2,1,4,8,7,6,5,3]=>[3,2,5,1,4,6,7,8] [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[2,1,4,7,8,6,5,3]=>[3,2,5,8,1,4,6,7] [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[2,1,4,6,8,7,5,3]=>[3,2,5,7,1,4,6,8] [[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[2,1,4,6,7,8,5,3]=>[3,2,5,7,8,1,4,6] [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[2,1,4,5,8,7,6,3]=>[3,2,5,6,1,4,7,8] [[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[2,1,4,5,7,8,6,3]=>[3,2,5,6,8,1,4,7] [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[2,1,4,6,5,8,7,3]=>[3,2,5,7,6,1,4,8] [[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[2,1,4,5,6,8,7,3]=>[3,2,5,6,7,1,4,8] [[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[2,1,5,7,6,4,8,3]=>[3,2,6,8,7,5,1,4] [[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[2,1,6,5,7,4,8,3]=>[3,2,7,6,8,5,1,4] [[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[2,1,5,6,7,4,8,3]=>[3,2,6,7,8,5,1,4] [[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[2,1,4,7,6,5,8,3]=>[3,2,5,8,7,6,1,4] [[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[2,1,4,6,7,5,8,3]=>[3,2,5,7,8,6,1,4] [[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,8,3]=>[3,2,6,5,8,7,1,4] [[.,[.,.]],[[[.,[[.,.],.]],.],.]]=>[2,1,5,6,4,7,8,3]=>[3,2,6,7,5,8,1,4] [[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[2,1,4,5,6,7,8,3]=>[3,2,5,6,7,8,1,4] [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[1,2,8,7,6,5,4,3]=>[2,3,1,4,5,6,7,8] [[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[1,2,6,7,8,5,4,3]=>[2,3,7,8,1,4,5,6] [[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[1,2,6,5,8,7,4,3]=>[2,3,7,6,1,4,5,8] [[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[1,2,7,6,5,8,4,3]=>[2,3,8,7,6,1,4,5] [[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[1,2,5,7,6,8,4,3]=>[2,3,6,8,7,1,4,5] [[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[1,2,6,5,7,8,4,3]=>[2,3,7,6,8,1,4,5] [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[1,2,5,6,7,8,4,3]=>[2,3,6,7,8,1,4,5] [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[1,2,4,8,7,6,5,3]=>[2,3,5,1,4,6,7,8] [[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[1,2,4,7,8,6,5,3]=>[2,3,5,8,1,4,6,7] [[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[1,2,4,6,8,7,5,3]=>[2,3,5,7,1,4,6,8] [[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[1,2,4,6,7,8,5,3]=>[2,3,5,7,8,1,4,6] [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[1,2,5,4,8,7,6,3]=>[2,3,6,5,1,4,7,8] [[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[1,2,5,4,7,8,6,3]=>[2,3,6,5,8,1,4,7] [[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[1,2,4,5,7,8,6,3]=>[2,3,5,6,8,1,4,7] [[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[1,2,6,5,4,8,7,3]=>[2,3,7,6,5,1,4,8] [[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[1,2,4,6,5,8,7,3]=>[2,3,5,7,6,1,4,8] [[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[1,2,5,4,6,8,7,3]=>[2,3,6,5,7,1,4,8] [[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[1,2,5,7,6,4,8,3]=>[2,3,6,8,7,5,1,4] [[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[1,2,5,6,7,4,8,3]=>[2,3,6,7,8,5,1,4] [[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[1,2,4,7,6,5,8,3]=>[2,3,5,8,7,6,1,4] [[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[1,2,6,5,4,7,8,3]=>[2,3,7,6,5,8,1,4] [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[4,3,2,1,5,6,7,8] [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[3,2,1,7,8,6,5,4]=>[4,3,2,8,1,5,6,7] [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[3,2,1,6,8,7,5,4]=>[4,3,2,7,1,5,6,8] [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[3,2,1,7,6,8,5,4]=>[4,3,2,8,7,1,5,6] [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[3,2,1,6,7,8,5,4]=>[4,3,2,7,8,1,5,6] [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[3,2,1,5,8,7,6,4]=>[4,3,2,6,1,5,7,8] [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[3,2,1,5,7,8,6,4]=>[4,3,2,6,8,1,5,7] [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[3,2,1,6,5,8,7,4]=>[4,3,2,7,6,1,5,8] [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[3,2,1,5,6,8,7,4]=>[4,3,2,6,7,1,5,8] [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[3,2,1,7,6,5,8,4]=>[4,3,2,8,7,6,1,5] [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[3,2,1,6,7,5,8,4]=>[4,3,2,7,8,6,1,5] [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[3,2,1,5,7,6,8,4]=>[4,3,2,6,8,7,1,5] [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[3,2,1,6,5,7,8,4]=>[4,3,2,7,6,8,1,5] [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[3,2,1,5,6,7,8,4]=>[4,3,2,6,7,8,1,5] [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[2,3,1,8,7,6,5,4]=>[3,4,2,1,5,6,7,8] [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[2,3,1,6,8,7,5,4]=>[3,4,2,7,1,5,6,8] [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[2,3,1,7,6,8,5,4]=>[3,4,2,8,7,1,5,6] [[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[2,3,1,6,7,8,5,4]=>[3,4,2,7,8,1,5,6] [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[2,3,1,6,5,8,7,4]=>[3,4,2,7,6,1,5,8] [[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[2,3,1,5,7,6,8,4]=>[3,4,2,6,8,7,1,5] [[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[2,3,1,5,6,7,8,4]=>[3,4,2,6,7,8,1,5] [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[1,3,2,8,7,6,5,4]=>[2,4,3,1,5,6,7,8] [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[1,3,2,6,8,7,5,4]=>[2,4,3,7,1,5,6,8] [[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[1,3,2,5,7,8,6,4]=>[2,4,3,6,8,1,5,7] [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[1,3,2,6,5,8,7,4]=>[2,4,3,7,6,1,5,8] [[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[1,3,2,7,6,5,8,4]=>[2,4,3,8,7,6,1,5] [[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[1,3,2,5,7,6,8,4]=>[2,4,3,6,8,7,1,5] [[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[1,3,2,6,5,7,8,4]=>[2,4,3,7,6,8,1,5] [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[2,1,3,8,7,6,5,4]=>[3,2,4,1,5,6,7,8] [[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[2,1,3,7,8,6,5,4]=>[3,2,4,8,1,5,6,7] [[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[2,1,3,6,8,7,5,4]=>[3,2,4,7,1,5,6,8] [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,8,7,6,5,4]=>[2,3,4,1,5,6,7,8] [[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[1,2,3,7,8,6,5,4]=>[2,3,4,8,1,5,6,7] [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[1,2,3,6,8,7,5,4]=>[2,3,4,7,1,5,6,8] [[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[1,2,3,7,6,8,5,4]=>[2,3,4,8,7,1,5,6] [[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[1,2,3,6,7,8,5,4]=>[2,3,4,7,8,1,5,6] [[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[1,2,3,5,8,7,6,4]=>[2,3,4,6,1,5,7,8] [[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[1,2,3,5,7,8,6,4]=>[2,3,4,6,8,1,5,7] [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[1,2,3,6,5,8,7,4]=>[2,3,4,7,6,1,5,8] [[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[1,2,3,5,6,8,7,4]=>[2,3,4,6,7,1,5,8] [[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[1,2,3,7,6,5,8,4]=>[2,3,4,8,7,6,1,5] [[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[1,2,3,6,7,5,8,4]=>[2,3,4,7,8,6,1,5] [[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[1,2,3,5,7,6,8,4]=>[2,3,4,6,8,7,1,5] [[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,6,5,7,8,4]=>[2,3,4,7,6,8,1,5] [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[2,3,4,6,7,8,1,5] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[5,4,3,2,1,6,7,8] [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[4,3,2,1,7,8,6,5]=>[5,4,3,2,8,1,6,7] [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[4,3,2,1,6,8,7,5]=>[5,4,3,2,7,1,6,8] [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[4,3,2,1,7,6,8,5]=>[5,4,3,2,8,7,1,6] [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[4,3,2,1,6,7,8,5]=>[5,4,3,2,7,8,1,6] [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[3,4,2,1,8,7,6,5]=>[4,5,3,2,1,6,7,8] [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[4,5,3,2,8,1,6,7] [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[3,4,2,1,6,8,7,5]=>[4,5,3,2,7,1,6,8] [[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>[3,4,2,1,7,6,8,5]=>[4,5,3,2,8,7,1,6] [[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[3,4,2,1,6,7,8,5]=>[4,5,3,2,7,8,1,6] [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[2,4,3,1,8,7,6,5]=>[3,5,4,2,1,6,7,8] [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[3,5,4,2,7,1,6,8] [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[2,4,3,1,7,6,8,5]=>[3,5,4,2,8,7,1,6] [[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[2,4,3,1,6,7,8,5]=>[3,5,4,2,7,8,1,6] [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[3,2,4,1,8,7,6,5]=>[4,3,5,2,1,6,7,8] [[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[3,2,4,1,7,8,6,5]=>[4,3,5,2,8,1,6,7] [[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[3,2,4,1,6,8,7,5]=>[4,3,5,2,7,1,6,8] [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5]=>[4,3,5,2,8,7,1,6] [[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[3,2,4,1,6,7,8,5]=>[4,3,5,2,7,8,1,6] [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[2,3,4,1,8,7,6,5]=>[3,4,5,2,1,6,7,8] [[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[2,3,4,1,7,8,6,5]=>[3,4,5,2,8,1,6,7] [[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[2,3,4,1,6,8,7,5]=>[3,4,5,2,7,1,6,8] [[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[2,3,4,1,7,6,8,5]=>[3,4,5,2,8,7,1,6] [[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[2,3,4,1,6,7,8,5]=>[3,4,5,2,7,8,1,6] [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[1,4,3,2,8,7,6,5]=>[2,5,4,3,1,6,7,8] [[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[1,4,3,2,7,6,8,5]=>[2,5,4,3,8,7,1,6] [[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[1,4,3,2,6,7,8,5]=>[2,5,4,3,7,8,1,6] [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[1,3,4,2,8,7,6,5]=>[2,4,5,3,1,6,7,8] [[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[1,3,4,2,7,8,6,5]=>[2,4,5,3,8,1,6,7] [[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[1,3,4,2,6,8,7,5]=>[2,4,5,3,7,1,6,8] [[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[1,3,4,2,7,6,8,5]=>[2,4,5,3,8,7,1,6] [[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[1,3,4,2,6,7,8,5]=>[2,4,5,3,7,8,1,6] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[3,2,5,4,1,6,7,8] [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[3,2,5,4,8,1,6,7] [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[3,2,5,4,7,1,6,8] [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5]=>[3,2,5,4,8,7,1,6] [[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[2,1,4,3,6,7,8,5]=>[3,2,5,4,7,8,1,6] [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[1,2,4,3,8,7,6,5]=>[2,3,5,4,1,6,7,8] [[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[1,2,4,3,7,8,6,5]=>[2,3,5,4,8,1,6,7] [[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[1,2,4,3,6,8,7,5]=>[2,3,5,4,7,1,6,8] [[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[1,2,4,3,7,6,8,5]=>[2,3,5,4,8,7,1,6] [[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[1,2,4,3,6,7,8,5]=>[2,3,5,4,7,8,1,6] [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[3,2,1,4,8,7,6,5]=>[4,3,2,5,1,6,7,8] [[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[3,2,1,4,7,8,6,5]=>[4,3,2,5,8,1,6,7] [[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[3,2,1,4,6,8,7,5]=>[4,3,2,5,7,1,6,8] [[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[3,2,1,4,7,6,8,5]=>[4,3,2,5,8,7,1,6] [[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[3,2,1,4,6,7,8,5]=>[4,3,2,5,7,8,1,6] [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[2,3,1,4,8,7,6,5]=>[3,4,2,5,1,6,7,8] [[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[2,3,1,4,7,8,6,5]=>[3,4,2,5,8,1,6,7] [[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[2,3,1,4,7,6,8,5]=>[3,4,2,5,8,7,1,6] [[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[2,3,1,4,6,7,8,5]=>[3,4,2,5,7,8,1,6] [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[1,3,2,4,8,7,6,5]=>[2,4,3,5,1,6,7,8] [[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[1,3,2,4,6,8,7,5]=>[2,4,3,5,7,1,6,8] [[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[1,3,2,4,7,6,8,5]=>[2,4,3,5,8,7,1,6] [[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[1,3,2,4,6,7,8,5]=>[2,4,3,5,7,8,1,6] [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[2,1,3,4,8,7,6,5]=>[3,2,4,5,1,6,7,8] [[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[2,1,3,4,7,6,8,5]=>[3,2,4,5,8,7,1,6] [[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[2,1,3,4,6,7,8,5]=>[3,2,4,5,7,8,1,6] [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,8,7,6,5]=>[2,3,4,5,1,6,7,8] [[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[1,2,3,4,7,8,6,5]=>[2,3,4,5,8,1,6,7] [[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[1,2,3,4,6,8,7,5]=>[2,3,4,5,7,1,6,8] [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,7,6,8,5]=>[2,3,4,5,8,7,1,6] [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,6,7,8,5]=>[2,3,4,5,7,8,1,6] [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[5,4,3,2,1,8,7,6]=>[6,5,4,3,2,1,7,8] [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[5,4,3,2,1,7,8,6]=>[6,5,4,3,2,8,1,7] [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[4,5,3,2,1,8,7,6]=>[5,6,4,3,2,1,7,8] [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[3,5,4,2,1,8,7,6]=>[4,6,5,3,2,1,7,8] [[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[3,5,4,2,1,7,8,6]=>[4,6,5,3,2,8,1,7] [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[4,3,5,2,1,8,7,6]=>[5,4,6,3,2,1,7,8] [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[3,4,5,2,1,8,7,6]=>[4,5,6,3,2,1,7,8] [[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[3,4,5,2,1,7,8,6]=>[4,5,6,3,2,8,1,7] [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[2,5,4,3,1,8,7,6]=>[3,6,5,4,2,1,7,8] [[.,[[.,.],[.,[.,.]]]],[[.,.],.]]=>[2,5,4,3,1,7,8,6]=>[3,6,5,4,2,8,1,7] [[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[2,4,5,3,1,8,7,6]=>[3,5,6,4,2,1,7,8] [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[4,3,6,5,2,1,7,8] [[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[3,2,5,4,1,7,8,6]=>[4,3,6,5,2,8,1,7] [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[2,3,5,4,1,8,7,6]=>[3,4,6,5,2,1,7,8] [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[4,3,2,5,1,8,7,6]=>[5,4,3,6,2,1,7,8] [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[3,4,2,5,1,8,7,6]=>[4,5,3,6,2,1,7,8] [[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[3,4,2,5,1,7,8,6]=>[4,5,3,6,2,8,1,7] [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[2,4,3,5,1,8,7,6]=>[3,5,4,6,2,1,7,8] [[.,[[[.,.],[.,.]],.]],[[.,.],.]]=>[2,4,3,5,1,7,8,6]=>[3,5,4,6,2,8,1,7] [[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>[3,2,4,5,1,8,7,6]=>[4,3,5,6,2,1,7,8] [[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[2,3,4,5,1,8,7,6]=>[3,4,5,6,2,1,7,8] [[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[1,3,5,4,2,7,8,6]=>[2,4,6,5,3,8,1,7] [[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[1,4,3,5,2,7,8,6]=>[2,5,4,6,3,8,1,7] [[[.,.],[[[.,.],.],.]],[.,[.,.]]]=>[1,3,4,5,2,8,7,6]=>[2,4,5,6,3,1,7,8] [[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[1,3,4,5,2,7,8,6]=>[2,4,5,6,3,8,1,7] [[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[1,2,5,4,3,7,8,6]=>[2,3,6,5,4,8,1,7] [[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[1,2,4,5,3,8,7,6]=>[2,3,5,6,4,1,7,8] [[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[1,2,4,5,3,7,8,6]=>[2,3,5,6,4,8,1,7] [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[1,3,2,5,4,8,7,6]=>[2,4,3,6,5,1,7,8] [[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[1,3,2,5,4,7,8,6]=>[2,4,3,6,5,8,1,7] [[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[2,1,3,5,4,8,7,6]=>[3,2,4,6,5,1,7,8] [[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[1,2,3,5,4,8,7,6]=>[2,3,4,6,5,1,7,8] [[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[1,2,3,5,4,7,8,6]=>[2,3,4,6,5,8,1,7] [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[4,3,2,1,5,8,7,6]=>[5,4,3,2,6,1,7,8] [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[4,3,2,1,5,7,8,6]=>[5,4,3,2,6,8,1,7] [[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[3,4,2,1,5,8,7,6]=>[4,5,3,2,6,1,7,8] [[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[3,2,4,1,5,8,7,6]=>[4,3,5,2,6,1,7,8] [[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[3,2,4,1,5,7,8,6]=>[4,3,5,2,6,8,1,7] [[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[2,3,4,1,5,8,7,6]=>[3,4,5,2,6,1,7,8] [[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[2,3,4,1,5,7,8,6]=>[3,4,5,2,6,8,1,7] [[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[1,4,3,2,5,8,7,6]=>[2,5,4,3,6,1,7,8] [[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[1,4,3,2,5,7,8,6]=>[2,5,4,3,6,8,1,7] [[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[1,3,4,2,5,8,7,6]=>[2,4,5,3,6,1,7,8] [[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[1,3,4,2,5,7,8,6]=>[2,4,5,3,6,8,1,7] [[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[1,2,4,3,5,7,8,6]=>[2,3,5,4,6,8,1,7] [[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[3,2,1,4,5,8,7,6]=>[4,3,2,5,6,1,7,8] [[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[3,2,1,4,5,7,8,6]=>[4,3,2,5,6,8,1,7] [[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[2,3,1,4,5,7,8,6]=>[3,4,2,5,6,8,1,7] [[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[1,3,2,4,5,7,8,6]=>[2,4,3,5,6,8,1,7] [[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,6,1,7,8] [[[[[[.,.],.],.],.],.],[[.,.],.]]=>[1,2,3,4,5,7,8,6]=>[2,3,4,5,6,8,1,7] [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[7,6,5,4,3,2,1,8] [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[5,6,4,3,2,1,8,7]=>[6,7,5,4,3,2,1,8] [[.,[.,[.,[[.,.],[.,.]]]]],[.,.]]=>[4,6,5,3,2,1,8,7]=>[5,7,6,4,3,2,1,8] [[.,[.,[.,[[.,[.,.]],.]]]],[.,.]]=>[5,4,6,3,2,1,8,7]=>[6,5,7,4,3,2,1,8] [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[5,6,7,4,3,2,1,8] [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[3,6,5,4,2,1,8,7]=>[4,7,6,5,3,2,1,8] [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[3,5,6,4,2,1,8,7]=>[4,6,7,5,3,2,1,8] [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[4,3,6,5,2,1,8,7]=>[5,4,7,6,3,2,1,8] [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[5,4,3,6,2,1,8,7]=>[6,5,4,7,3,2,1,8] [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[4,5,3,6,2,1,8,7]=>[5,6,4,7,3,2,1,8] [[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[3,4,5,6,2,1,8,7]=>[4,5,6,7,3,2,1,8] [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[2,6,5,4,3,1,8,7]=>[3,7,6,5,4,2,1,8] [[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[2,5,6,4,3,1,8,7]=>[3,6,7,5,4,2,1,8] [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[2,4,6,5,3,1,8,7]=>[3,5,7,6,4,2,1,8] [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[2,3,6,5,4,1,8,7]=>[3,4,7,6,5,2,1,8] [[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[2,3,5,6,4,1,8,7]=>[3,4,6,7,5,2,1,8] [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[2,4,3,6,5,1,8,7]=>[3,5,4,7,6,2,1,8] [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[5,4,3,2,6,1,8,7]=>[6,5,4,3,7,2,1,8] [[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[4,5,3,2,6,1,8,7]=>[5,6,4,3,7,2,1,8] [[.,[[.,[[.,.],[.,.]]],.]],[.,.]]=>[3,5,4,2,6,1,8,7]=>[4,6,5,3,7,2,1,8] [[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[4,3,5,2,6,1,8,7]=>[5,4,6,3,7,2,1,8] 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[[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[2,3,1,6,5,4,8,7]=>[3,4,2,7,6,5,1,8] [[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[2,1,3,6,5,4,8,7]=>[3,2,4,7,6,5,1,8] [[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[1,2,3,6,5,4,8,7]=>[2,3,4,7,6,5,1,8] [[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[1,2,3,5,6,4,8,7]=>[2,3,4,6,7,5,1,8] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[5,4,3,2,7,6,1,8] [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[4,5,3,2,7,6,1,8] [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7]=>[3,5,4,2,7,6,1,8] [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7]=>[4,3,5,2,7,6,1,8] [[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[2,3,4,1,6,5,8,7]=>[3,4,5,2,7,6,1,8] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[3,2,5,4,7,6,1,8] [[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[1,2,4,3,6,5,8,7]=>[2,3,5,4,7,6,1,8] [[[[[.,.],[.,.]],.],[.,.]],[.,.]]=>[1,3,2,4,6,5,8,7]=>[2,4,3,5,7,6,1,8] [[[[[.,[.,.]],.],.],[.,.]],[.,.]]=>[2,1,3,4,6,5,8,7]=>[3,2,4,5,7,6,1,8] 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[[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[4,3,2,1,5,6,8,7]=>[5,4,3,2,6,7,1,8] [[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[3,2,4,1,5,6,8,7]=>[4,3,5,2,6,7,1,8] [[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[2,3,4,1,5,6,8,7]=>[3,4,5,2,6,7,1,8] [[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[1,4,3,2,5,6,8,7]=>[2,5,4,3,6,7,1,8] [[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[1,3,4,2,5,6,8,7]=>[2,4,5,3,6,7,1,8] [[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[2,1,4,3,5,6,8,7]=>[3,2,5,4,6,7,1,8] [[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[1,2,4,3,5,6,8,7]=>[2,3,5,4,6,7,1,8] [[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,8,7]=>[3,2,4,5,6,7,1,8] [[[[[[[.,.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,8,7]=>[2,3,4,5,6,7,1,8] [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,1] [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[7,8,6,5,4,3,2,1] [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[5,7,6,4,3,2,1,8]=>[6,8,7,5,4,3,2,1] [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[7,6,8,5,4,3,2,1] [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[6,7,8,5,4,3,2,1] [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[4,7,6,5,3,2,1,8]=>[5,8,7,6,4,3,2,1] [[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>[4,6,7,5,3,2,1,8]=>[5,7,8,6,4,3,2,1] [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[4,5,7,6,3,2,1,8]=>[5,6,8,7,4,3,2,1] [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[7,6,5,8,4,3,2,1] [[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[6,7,5,8,4,3,2,1] [[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>[4,6,5,7,3,2,1,8]=>[5,7,6,8,4,3,2,1] [[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[5,6,7,8,4,3,2,1] [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[3,5,7,6,4,2,1,8]=>[4,6,8,7,5,3,2,1] [[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[3,5,6,7,4,2,1,8]=>[4,6,7,8,5,3,2,1] [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[3,4,7,6,5,2,1,8]=>[4,5,8,7,6,3,2,1] [[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[4,5,3,7,6,2,1,8]=>[5,6,4,8,7,3,2,1] [[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>[3,5,4,7,6,2,1,8]=>[4,6,5,8,7,3,2,1] 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[[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[5,6,4,3,7,2,8,1] [[[.,[[.,[[.,.],[.,.]]],.]],.],.]=>[3,5,4,2,6,1,7,8]=>[4,6,5,3,7,2,8,1] [[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[1,5,6,4,3,2,7,8]=>[2,6,7,5,4,3,8,1] [[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>[1,4,6,5,3,2,7,8]=>[2,5,7,6,4,3,8,1] [[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[1,5,4,6,3,2,7,8]=>[2,6,5,7,4,3,8,1] [[[[.,.],[.,[[[.,.],.],.]]],.],.]=>[1,4,5,6,3,2,7,8]=>[2,5,6,7,4,3,8,1] [[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[1,3,5,6,4,2,7,8]=>[2,4,6,7,5,3,8,1] [[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[1,4,3,6,5,2,7,8]=>[2,5,4,7,6,3,8,1] [[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[1,5,4,3,6,2,7,8]=>[2,6,5,4,7,3,8,1] [[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[2,1,5,6,4,3,7,8]=>[3,2,6,7,5,4,8,1] [[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[2,1,4,6,5,3,7,8]=>[3,2,5,7,6,4,8,1] [[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[1,2,6,5,4,3,7,8]=>[2,3,7,6,5,4,8,1] [[[[[.,.],.],[.,[[.,.],.]]],.],.]=>[1,2,5,6,4,3,7,8]=>[2,3,6,7,5,4,8,1] [[[[[.,.],.],[[[.,.],.],.]],.],.]=>[1,2,4,5,6,3,7,8]=>[2,3,5,6,7,4,8,1] [[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[3,2,1,5,6,4,7,8]=>[4,3,2,6,7,5,8,1] [[[[.,[[.,.],.]],[.,[.,.]]],.],.]=>[2,3,1,6,5,4,7,8]=>[3,4,2,7,6,5,8,1] [[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[1,3,2,5,6,4,7,8]=>[2,4,3,6,7,5,8,1] [[[[[[.,.],.],.],[[.,.],.]],.],.]=>[1,2,3,5,6,4,7,8]=>[2,3,4,6,7,5,8,1] [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[4,3,2,1,6,5,7,8]=>[5,4,3,2,7,6,8,1] [[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[3,2,4,1,6,5,7,8]=>[4,3,5,2,7,6,8,1] [[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[2,3,4,1,6,5,7,8]=>[3,4,5,2,7,6,8,1] [[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[2,1,4,3,6,5,7,8]=>[3,2,5,4,7,6,8,1] [[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[1,2,4,3,6,5,7,8]=>[2,3,5,4,7,6,8,1] [[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[1,3,2,4,6,5,7,8]=>[2,4,3,5,7,6,8,1] [[[[[[.,[.,.]],.],.],[.,.]],.],.]=>[2,1,3,4,6,5,7,8]=>[3,2,4,5,7,6,8,1] [[[[[[[.,.],.],.],.],[.,.]],.],.]=>[1,2,3,4,6,5,7,8]=>[2,3,4,5,7,6,8,1] [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[6,5,4,3,2,7,8,1] [[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[5,6,4,3,2,7,8,1] [[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[3,5,4,2,1,6,7,8]=>[4,6,5,3,2,7,8,1] [[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[5,4,6,3,2,7,8,1] [[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[4,5,6,3,2,7,8,1] [[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[2,5,4,3,1,6,7,8]=>[3,6,5,4,2,7,8,1] [[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[2,4,5,3,1,6,7,8]=>[3,5,6,4,2,7,8,1] [[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[3,2,5,4,1,6,7,8]=>[4,3,6,5,2,7,8,1] [[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[2,3,5,4,1,6,7,8]=>[3,4,6,5,2,7,8,1] [[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[5,4,3,6,2,7,8,1] [[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[4,5,3,6,2,7,8,1] [[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[2,4,3,5,1,6,7,8]=>[3,5,4,6,2,7,8,1] [[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[4,3,5,6,2,7,8,1] [[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[3,4,5,6,2,7,8,1] [[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[1,3,5,4,2,6,7,8]=>[2,4,6,5,3,7,8,1] [[[[[.,.],[[[.,.],.],.]],.],.],.]=>[1,3,4,5,2,6,7,8]=>[2,4,5,6,3,7,8,1] [[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[1,3,2,5,4,6,7,8]=>[2,4,3,6,5,7,8,1] [[[[[[[.,.],.],.],[.,.]],.],.],.]=>[1,2,3,5,4,6,7,8]=>[2,3,4,6,5,7,8,1] [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[5,4,3,2,6,7,8,1] [[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[4,5,3,2,6,7,8,1] [[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[2,4,3,1,5,6,7,8]=>[3,5,4,2,6,7,8,1] [[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[4,3,5,2,6,7,8,1] [[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[3,4,5,2,6,7,8,1] [[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[1,4,3,2,5,6,7,8]=>[2,5,4,3,6,7,8,1] [[[[[[.,.],[[.,.],.]],.],.],.],.]=>[1,3,4,2,5,6,7,8]=>[2,4,5,3,6,7,8,1] [[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[2,1,4,3,5,6,7,8]=>[3,2,5,4,6,7,8,1] [[[[[[[.,.],.],[.,.]],.],.],.],.]=>[1,2,4,3,5,6,7,8]=>[2,3,5,4,6,7,8,1] [[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[4,3,2,5,6,7,8,1] [[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[3,4,2,5,6,7,8,1] [[[[[[[.,.],[.,.]],.],.],.],.],.]=>[1,3,2,4,5,6,7,8]=>[2,4,3,5,6,7,8,1] [[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[3,2,4,5,6,7,8,1] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]
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 $\pi$.