Identifier
Mp00017: Binary trees to 312-avoiding permutationPermutations
Mp00064: Permutations reversePermutations
Mp00066: Permutations inversePermutations
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]=>[1,3,2]=>[1,3,2] [[.,.],[.,.]]=>[1,3,2]=>[2,3,1]=>[3,1,2] [[.,[.,.]],.]=>[2,1,3]=>[3,1,2]=>[2,3,1] [[[.,.],.],.]=>[1,2,3]=>[3,2,1]=>[3,2,1] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[1,2,4,3]=>[1,2,4,3] [.,[[.,.],[.,.]]]=>[2,4,3,1]=>[1,3,4,2]=>[1,4,2,3] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[1,4,2,3]=>[1,3,4,2] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[1,4,3,2]=>[1,4,3,2] [[.,.],[.,[.,.]]]=>[1,4,3,2]=>[2,3,4,1]=>[4,1,2,3] [[.,.],[[.,.],.]]=>[1,3,4,2]=>[2,4,3,1]=>[4,1,3,2] [[.,[.,.]],[.,.]]=>[2,1,4,3]=>[3,4,1,2]=>[3,4,1,2] [[[.,.],.],[.,.]]=>[1,2,4,3]=>[3,4,2,1]=>[4,3,1,2] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[4,1,2,3]=>[2,3,4,1] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[4,1,3,2]=>[2,4,3,1] [[[.,.],[.,.]],.]=>[1,3,2,4]=>[4,2,3,1]=>[4,2,3,1] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[4,3,1,2]=>[3,4,2,1] [[[[.,.],.],.],.]=>[1,2,3,4]=>[4,3,2,1]=>[4,3,2,1] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[1,2,3,5,4]=>[1,2,3,5,4] [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[1,2,4,5,3]=>[1,2,5,3,4] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[1,2,5,3,4]=>[1,2,4,5,3] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[1,2,5,4,3]=>[1,2,5,4,3] [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[1,3,4,5,2]=>[1,5,2,3,4] [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[1,3,5,4,2]=>[1,5,2,4,3] [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[1,4,5,2,3]=>[1,4,5,2,3] [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[1,4,5,3,2]=>[1,5,4,2,3] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[1,5,2,3,4]=>[1,3,4,5,2] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[1,5,2,4,3]=>[1,3,5,4,2] [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[1,5,3,4,2]=>[1,5,3,4,2] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[1,5,4,2,3]=>[1,4,5,3,2] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[1,5,4,3,2]=>[1,5,4,3,2] [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[2,3,4,5,1]=>[5,1,2,3,4] [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[2,3,5,4,1]=>[5,1,2,4,3] [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[2,4,5,3,1]=>[5,1,4,2,3] [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[2,5,3,4,1]=>[5,1,3,4,2] [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[2,5,4,3,1]=>[5,1,4,3,2] [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[3,4,5,1,2]=>[4,5,1,2,3] [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[3,5,4,1,2]=>[4,5,1,3,2] [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[3,4,5,2,1]=>[5,4,1,2,3] [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[3,5,4,2,1]=>[5,4,1,3,2] [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[4,5,1,2,3]=>[3,4,5,1,2] [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[4,5,1,3,2]=>[3,5,4,1,2] [[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[4,5,2,3,1]=>[5,3,4,1,2] [[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[4,5,3,1,2]=>[4,5,3,1,2] [[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[4,5,3,2,1]=>[5,4,3,1,2] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[5,1,2,3,4]=>[2,3,4,5,1] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[5,1,2,4,3]=>[2,3,5,4,1] [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[5,1,3,4,2]=>[2,5,3,4,1] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[5,1,4,2,3]=>[2,4,5,3,1] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[5,1,4,3,2]=>[2,5,4,3,1] [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[5,2,3,4,1] [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[5,2,4,3,1]=>[5,2,4,3,1] [[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[5,3,4,1,2]=>[4,5,2,3,1] [[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[5,3,4,2,1]=>[5,4,2,3,1] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[5,4,1,2,3]=>[3,4,5,2,1] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[5,4,1,3,2]=>[3,5,4,2,1] [[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[5,4,2,3,1]=>[5,3,4,2,1] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[5,4,3,1,2]=>[4,5,3,2,1] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[5,4,3,2,1] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[1,2,3,5,6,4]=>[1,2,3,6,4,5] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4] [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[1,2,4,5,6,3]=>[1,2,6,3,4,5] [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[1,2,4,6,5,3]=>[1,2,6,3,5,4] [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[1,2,5,6,3,4]=>[1,2,5,6,3,4] [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[1,2,5,6,4,3]=>[1,2,6,5,3,4] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[1,2,6,3,5,4]=>[1,2,4,6,5,3] [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[1,2,6,4,5,3]=>[1,2,6,4,5,3] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[1,2,6,5,3,4]=>[1,2,5,6,4,3] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3] [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5] [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[1,3,4,6,5,2]=>[1,6,2,3,5,4] [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[1,3,5,6,4,2]=>[1,6,2,5,3,4] [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[1,3,6,4,5,2]=>[1,6,2,4,5,3] [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[1,3,6,5,4,2]=>[1,6,2,5,4,3] [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[1,4,5,6,2,3]=>[1,5,6,2,3,4] [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[1,4,6,5,2,3]=>[1,5,6,2,4,3] [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[1,4,5,6,3,2]=>[1,6,5,2,3,4] [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[1,4,6,5,3,2]=>[1,6,5,2,4,3] [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[1,5,6,2,3,4]=>[1,4,5,6,2,3] [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[1,5,6,2,4,3]=>[1,4,6,5,2,3] [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[1,5,6,3,4,2]=>[1,6,4,5,2,3] [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[1,5,6,4,2,3]=>[1,5,6,4,2,3] [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[1,5,6,4,3,2]=>[1,6,5,4,2,3] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[1,6,2,3,5,4]=>[1,3,4,6,5,2] [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[1,6,2,4,5,3]=>[1,3,6,4,5,2] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[1,6,2,5,3,4]=>[1,3,5,6,4,2] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[1,6,2,5,4,3]=>[1,3,6,5,4,2] [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[1,6,3,4,5,2]=>[1,6,3,4,5,2] [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[1,6,3,5,4,2]=>[1,6,3,5,4,2] [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[1,6,4,5,2,3]=>[1,5,6,3,4,2] [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[1,6,4,5,3,2]=>[1,6,5,3,4,2] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[1,6,5,2,3,4]=>[1,4,5,6,3,2] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[1,6,5,2,4,3]=>[1,4,6,5,3,2] [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[1,6,5,3,4,2]=>[1,6,4,5,3,2] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[1,6,5,4,2,3]=>[1,5,6,4,3,2] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2] [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5] [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[2,3,4,6,5,1]=>[6,1,2,3,5,4] [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[2,3,5,6,4,1]=>[6,1,2,5,3,4] [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[2,3,6,4,5,1]=>[6,1,2,4,5,3] [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[2,3,6,5,4,1]=>[6,1,2,5,4,3] [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[2,4,5,6,3,1]=>[6,1,5,2,3,4] [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[2,4,6,5,3,1]=>[6,1,5,2,4,3] [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[2,5,6,3,4,1]=>[6,1,4,5,2,3] [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[2,5,6,4,3,1]=>[6,1,5,4,2,3] [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[2,6,3,4,5,1]=>[6,1,3,4,5,2] [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[2,6,3,5,4,1]=>[6,1,3,5,4,2] [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[2,6,4,5,3,1]=>[6,1,5,3,4,2] [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[2,6,5,3,4,1]=>[6,1,4,5,3,2] [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[2,6,5,4,3,1]=>[6,1,5,4,3,2] [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[3,4,5,6,1,2]=>[5,6,1,2,3,4] [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[3,4,6,5,1,2]=>[5,6,1,2,4,3] [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[3,5,6,4,1,2]=>[5,6,1,4,2,3] [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[3,6,4,5,1,2]=>[5,6,1,3,4,2] [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[3,6,5,4,1,2]=>[5,6,1,4,3,2] [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4] [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[3,4,6,5,2,1]=>[6,5,1,2,4,3] [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[3,5,6,4,2,1]=>[6,5,1,4,2,3] [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[3,6,4,5,2,1]=>[6,5,1,3,4,2] [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[3,6,5,4,2,1]=>[6,5,1,4,3,2] [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[4,5,6,1,2,3]=>[4,5,6,1,2,3] [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[4,6,5,1,2,3]=>[4,5,6,1,3,2] [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[4,5,6,1,3,2]=>[4,6,5,1,2,3] [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[4,6,5,1,3,2]=>[4,6,5,1,3,2] [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[4,5,6,2,3,1]=>[6,4,5,1,2,3] [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[4,6,5,2,3,1]=>[6,4,5,1,3,2] [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[4,5,6,3,1,2]=>[5,6,4,1,2,3] [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[4,6,5,3,1,2]=>[5,6,4,1,3,2] [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3] [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[4,6,5,3,2,1]=>[6,5,4,1,3,2] [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[5,6,1,2,3,4]=>[3,4,5,6,1,2] [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[5,6,1,2,4,3]=>[3,4,6,5,1,2] [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[5,6,1,3,4,2]=>[3,6,4,5,1,2] [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[5,6,1,4,2,3]=>[3,5,6,4,1,2] [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[5,6,1,4,3,2]=>[3,6,5,4,1,2] [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[5,6,2,3,4,1]=>[6,3,4,5,1,2] [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[5,6,2,4,3,1]=>[6,3,5,4,1,2] [[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2] [[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[5,6,3,4,2,1]=>[6,5,3,4,1,2] [[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[5,6,4,1,2,3]=>[4,5,6,3,1,2] [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[5,6,4,1,3,2]=>[4,6,5,3,1,2] [[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[5,6,4,2,3,1]=>[6,4,5,3,1,2] [[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2] [[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[6,1,2,3,5,4]=>[2,3,4,6,5,1] [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[6,1,2,4,5,3]=>[2,3,6,4,5,1] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[6,1,2,5,3,4]=>[2,3,5,6,4,1] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[6,1,2,5,4,3]=>[2,3,6,5,4,1] [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[6,1,3,4,5,2]=>[2,6,3,4,5,1] [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[6,1,3,5,4,2]=>[2,6,3,5,4,1] [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[6,1,4,5,2,3]=>[2,5,6,3,4,1] [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[6,1,4,5,3,2]=>[2,6,5,3,4,1] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[6,1,5,2,3,4]=>[2,4,5,6,3,1] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[6,1,5,2,4,3]=>[2,4,6,5,3,1] [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[6,1,5,3,4,2]=>[2,6,4,5,3,1] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[6,1,5,4,2,3]=>[2,5,6,4,3,1] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[6,1,5,4,3,2]=>[2,6,5,4,3,1] [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[6,2,3,4,5,1] [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[6,2,3,5,4,1]=>[6,2,3,5,4,1] [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[6,2,4,5,3,1]=>[6,2,5,3,4,1] [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[6,2,5,3,4,1]=>[6,2,4,5,3,1] [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[6,2,5,4,3,1]=>[6,2,5,4,3,1] [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[6,3,4,5,1,2]=>[5,6,2,3,4,1] [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[6,3,5,4,1,2]=>[5,6,2,4,3,1] [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[6,3,4,5,2,1]=>[6,5,2,3,4,1] [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[6,3,5,4,2,1]=>[6,5,2,4,3,1] [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[6,4,5,1,2,3]=>[4,5,6,2,3,1] [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[6,4,5,1,3,2]=>[4,6,5,2,3,1] [[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1] [[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[6,4,5,3,1,2]=>[5,6,4,2,3,1] [[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[6,4,5,3,2,1]=>[6,5,4,2,3,1] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[6,5,1,2,4,3]=>[3,4,6,5,2,1] [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[6,5,1,3,4,2]=>[3,6,4,5,2,1] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[6,5,1,4,2,3]=>[3,5,6,4,2,1] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[6,5,1,4,3,2]=>[3,6,5,4,2,1] [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[6,5,2,3,4,1]=>[6,3,4,5,2,1] [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[6,5,2,4,3,1]=>[6,3,5,4,2,1] [[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[6,5,3,4,1,2]=>[5,6,3,4,2,1] [[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[6,5,4,1,2,3]=>[4,5,6,3,2,1] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[6,5,4,1,3,2]=>[4,6,5,3,2,1] [[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[6,5,4,2,3,1]=>[6,4,5,3,2,1] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[6,5,4,3,1,2]=>[5,6,4,3,2,1] [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[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]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,5,6] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[1,2,3,5,6,7,4]=>[1,2,3,7,4,5,6] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[1,2,3,5,7,6,4]=>[1,2,3,7,4,6,5] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[1,2,3,6,7,4,5]=>[1,2,3,6,7,4,5] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[1,2,3,6,7,5,4]=>[1,2,3,7,6,4,5] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[1,2,3,7,4,6,5]=>[1,2,3,5,7,6,4] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[1,2,3,7,5,6,4]=>[1,2,3,7,5,6,4] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[1,2,3,7,6,4,5]=>[1,2,3,6,7,5,4] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[1,2,4,5,7,6,3]=>[1,2,7,3,4,6,5] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[1,2,4,6,7,5,3]=>[1,2,7,3,6,4,5] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[1,2,4,7,5,6,3]=>[1,2,7,3,5,6,4] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[1,2,4,7,6,5,3]=>[1,2,7,3,6,5,4] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[1,2,5,6,7,3,4]=>[1,2,6,7,3,4,5] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[1,2,5,7,6,3,4]=>[1,2,6,7,3,5,4] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[1,2,5,6,7,4,3]=>[1,2,7,6,3,4,5] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[1,2,5,7,6,4,3]=>[1,2,7,6,3,5,4] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[1,2,6,7,3,4,5]=>[1,2,5,6,7,3,4] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[1,2,6,7,3,5,4]=>[1,2,5,7,6,3,4] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[1,2,6,7,4,5,3]=>[1,2,7,5,6,3,4] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[1,2,6,7,5,3,4]=>[1,2,6,7,5,3,4] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[1,2,6,7,5,4,3]=>[1,2,7,6,5,3,4] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[1,2,7,3,4,6,5]=>[1,2,4,5,7,6,3] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[1,2,7,3,5,6,4]=>[1,2,4,7,5,6,3] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[1,2,7,3,6,4,5]=>[1,2,4,6,7,5,3] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[1,2,7,3,6,5,4]=>[1,2,4,7,6,5,3] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[1,2,7,4,5,6,3]=>[1,2,7,4,5,6,3] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[1,2,7,4,6,5,3]=>[1,2,7,4,6,5,3] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[1,2,7,5,6,3,4]=>[1,2,6,7,4,5,3] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[1,2,7,5,6,4,3]=>[1,2,7,6,4,5,3] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[1,2,7,6,3,4,5]=>[1,2,5,6,7,4,3] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[1,2,7,6,3,5,4]=>[1,2,5,7,6,4,3] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[1,2,7,6,4,5,3]=>[1,2,7,5,6,4,3] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[1,2,7,6,5,3,4]=>[1,2,6,7,5,4,3] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[1,3,4,5,6,7,2]=>[1,7,2,3,4,5,6] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[1,3,4,5,7,6,2]=>[1,7,2,3,4,6,5] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[1,3,4,6,7,5,2]=>[1,7,2,3,6,4,5] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[1,3,4,7,5,6,2]=>[1,7,2,3,5,6,4] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[1,3,4,7,6,5,2]=>[1,7,2,3,6,5,4] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[1,3,5,6,7,4,2]=>[1,7,2,6,3,4,5] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[1,3,5,7,6,4,2]=>[1,7,2,6,3,5,4] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[1,3,6,7,4,5,2]=>[1,7,2,5,6,3,4] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[1,3,6,7,5,4,2]=>[1,7,2,6,5,3,4] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[1,3,7,4,5,6,2]=>[1,7,2,4,5,6,3] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[1,3,7,4,6,5,2]=>[1,7,2,4,6,5,3] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[1,3,7,5,6,4,2]=>[1,7,2,6,4,5,3] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[1,3,7,6,4,5,2]=>[1,7,2,5,6,4,3] [.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[1,3,7,6,5,4,2]=>[1,7,2,6,5,4,3] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[1,4,5,6,7,2,3]=>[1,6,7,2,3,4,5] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[1,4,5,7,6,2,3]=>[1,6,7,2,3,5,4] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[1,4,6,7,5,2,3]=>[1,6,7,2,5,3,4] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[1,4,7,5,6,2,3]=>[1,6,7,2,4,5,3] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[1,4,7,6,5,2,3]=>[1,6,7,2,5,4,3] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[1,4,5,6,7,3,2]=>[1,7,6,2,3,4,5] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[1,4,5,7,6,3,2]=>[1,7,6,2,3,5,4] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[1,4,6,7,5,3,2]=>[1,7,6,2,5,3,4] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[1,4,7,5,6,3,2]=>[1,7,6,2,4,5,3] [.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[1,4,7,6,5,3,2]=>[1,7,6,2,5,4,3] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[1,5,6,7,2,3,4]=>[1,5,6,7,2,3,4] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[1,5,7,6,2,3,4]=>[1,5,6,7,2,4,3] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[1,5,6,7,2,4,3]=>[1,5,7,6,2,3,4] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[1,5,7,6,2,4,3]=>[1,5,7,6,2,4,3] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[1,5,6,7,3,4,2]=>[1,7,5,6,2,3,4] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[1,5,7,6,3,4,2]=>[1,7,5,6,2,4,3] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[1,5,6,7,4,2,3]=>[1,6,7,5,2,3,4] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[1,5,7,6,4,2,3]=>[1,6,7,5,2,4,3] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[1,5,6,7,4,3,2]=>[1,7,6,5,2,3,4] [.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[1,5,7,6,4,3,2]=>[1,7,6,5,2,4,3] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[1,6,7,2,3,4,5]=>[1,4,5,6,7,2,3] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[1,6,7,2,3,5,4]=>[1,4,5,7,6,2,3] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[1,6,7,2,4,5,3]=>[1,4,7,5,6,2,3] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[1,6,7,2,5,3,4]=>[1,4,6,7,5,2,3] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[1,6,7,2,5,4,3]=>[1,4,7,6,5,2,3] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[1,6,7,3,4,5,2]=>[1,7,4,5,6,2,3] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[1,6,7,3,5,4,2]=>[1,7,4,6,5,2,3] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[1,6,7,4,5,2,3]=>[1,6,7,4,5,2,3] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[1,6,7,4,5,3,2]=>[1,7,6,4,5,2,3] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[1,6,7,5,2,3,4]=>[1,5,6,7,4,2,3] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[1,6,7,5,2,4,3]=>[1,5,7,6,4,2,3] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[1,6,7,5,3,4,2]=>[1,7,5,6,4,2,3] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[1,6,7,5,4,2,3]=>[1,6,7,5,4,2,3] [.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[1,6,7,5,4,3,2]=>[1,7,6,5,4,2,3] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[1,7,2,3,4,6,5]=>[1,3,4,5,7,6,2] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[1,7,2,3,5,6,4]=>[1,3,4,7,5,6,2] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[1,7,2,3,6,4,5]=>[1,3,4,6,7,5,2] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[1,7,2,3,6,5,4]=>[1,3,4,7,6,5,2] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[1,7,2,4,5,6,3]=>[1,3,7,4,5,6,2] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[1,7,2,4,6,5,3]=>[1,3,7,4,6,5,2] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[1,7,2,5,6,3,4]=>[1,3,6,7,4,5,2] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[1,7,2,5,6,4,3]=>[1,3,7,6,4,5,2] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[1,7,2,6,3,4,5]=>[1,3,5,6,7,4,2] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[1,7,2,6,3,5,4]=>[1,3,5,7,6,4,2] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[1,7,2,6,4,5,3]=>[1,3,7,5,6,4,2] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[1,7,2,6,5,3,4]=>[1,3,6,7,5,4,2] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[1,7,2,6,5,4,3]=>[1,3,7,6,5,4,2] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[1,7,3,4,5,6,2]=>[1,7,3,4,5,6,2] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[1,7,3,4,6,5,2]=>[1,7,3,4,6,5,2] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[1,7,3,5,6,4,2]=>[1,7,3,6,4,5,2] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[1,7,3,6,4,5,2]=>[1,7,3,5,6,4,2] [.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[1,7,3,6,5,4,2]=>[1,7,3,6,5,4,2] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[1,7,4,5,6,2,3]=>[1,6,7,3,4,5,2] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[1,7,4,6,5,2,3]=>[1,6,7,3,5,4,2] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[1,7,4,5,6,3,2]=>[1,7,6,3,4,5,2] [.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[1,7,4,6,5,3,2]=>[1,7,6,3,5,4,2] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[1,7,5,6,2,3,4]=>[1,5,6,7,3,4,2] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[1,7,5,6,2,4,3]=>[1,5,7,6,3,4,2] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[1,7,5,6,3,4,2]=>[1,7,5,6,3,4,2] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[1,7,5,6,4,2,3]=>[1,6,7,5,3,4,2] [.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[1,7,5,6,4,3,2]=>[1,7,6,5,3,4,2] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[1,7,6,2,3,4,5]=>[1,4,5,6,7,3,2] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[1,7,6,2,3,5,4]=>[1,4,5,7,6,3,2] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[1,7,6,2,4,5,3]=>[1,4,7,5,6,3,2] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[1,7,6,2,5,3,4]=>[1,4,6,7,5,3,2] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[1,7,6,2,5,4,3]=>[1,4,7,6,5,3,2] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[1,7,6,3,4,5,2]=>[1,7,4,5,6,3,2] [.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[1,7,6,3,5,4,2]=>[1,7,4,6,5,3,2] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[1,7,6,4,5,2,3]=>[1,6,7,4,5,3,2] [.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[1,7,6,4,5,3,2]=>[1,7,6,4,5,3,2] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[1,7,6,5,2,3,4]=>[1,5,6,7,4,3,2] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[1,7,6,5,2,4,3]=>[1,5,7,6,4,3,2] [.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[1,7,6,5,3,4,2]=>[1,7,5,6,4,3,2] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[1,7,6,5,4,2,3]=>[1,6,7,5,4,3,2] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[2,3,4,5,7,6,1]=>[7,1,2,3,4,6,5] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[2,3,4,6,7,5,1]=>[7,1,2,3,6,4,5] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[2,3,4,7,5,6,1]=>[7,1,2,3,5,6,4] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[2,3,4,7,6,5,1]=>[7,1,2,3,6,5,4] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[2,3,5,6,7,4,1]=>[7,1,2,6,3,4,5] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[2,3,5,7,6,4,1]=>[7,1,2,6,3,5,4] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[2,3,6,7,4,5,1]=>[7,1,2,5,6,3,4] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[2,3,6,7,5,4,1]=>[7,1,2,6,5,3,4] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[2,3,7,4,5,6,1]=>[7,1,2,4,5,6,3] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[2,3,7,4,6,5,1]=>[7,1,2,4,6,5,3] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[2,3,7,5,6,4,1]=>[7,1,2,6,4,5,3] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[2,3,7,6,4,5,1]=>[7,1,2,5,6,4,3] [[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[2,3,7,6,5,4,1]=>[7,1,2,6,5,4,3] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[2,4,5,6,7,3,1]=>[7,1,6,2,3,4,5] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[2,4,5,7,6,3,1]=>[7,1,6,2,3,5,4] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[2,4,6,7,5,3,1]=>[7,1,6,2,5,3,4] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[2,4,7,5,6,3,1]=>[7,1,6,2,4,5,3] [[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[2,4,7,6,5,3,1]=>[7,1,6,2,5,4,3] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[2,5,6,7,3,4,1]=>[7,1,5,6,2,3,4] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[2,5,7,6,3,4,1]=>[7,1,5,6,2,4,3] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[2,5,6,7,4,3,1]=>[7,1,6,5,2,3,4] [[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[2,5,7,6,4,3,1]=>[7,1,6,5,2,4,3] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[2,6,7,3,4,5,1]=>[7,1,4,5,6,2,3] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[2,6,7,3,5,4,1]=>[7,1,4,6,5,2,3] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[2,6,7,4,5,3,1]=>[7,1,6,4,5,2,3] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[2,6,7,5,3,4,1]=>[7,1,5,6,4,2,3] [[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[2,6,7,5,4,3,1]=>[7,1,6,5,4,2,3] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[2,7,3,4,5,6,1]=>[7,1,3,4,5,6,2] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[2,7,3,4,6,5,1]=>[7,1,3,4,6,5,2] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[2,7,3,5,6,4,1]=>[7,1,3,6,4,5,2] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[2,7,3,6,4,5,1]=>[7,1,3,5,6,4,2] [[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[2,7,3,6,5,4,1]=>[7,1,3,6,5,4,2] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[2,7,4,5,6,3,1]=>[7,1,6,3,4,5,2] [[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[2,7,4,6,5,3,1]=>[7,1,6,3,5,4,2] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[2,7,5,6,3,4,1]=>[7,1,5,6,3,4,2] [[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[2,7,5,6,4,3,1]=>[7,1,6,5,3,4,2] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[2,7,6,3,4,5,1]=>[7,1,4,5,6,3,2] [[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[2,7,6,3,5,4,1]=>[7,1,4,6,5,3,2] [[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[2,7,6,4,5,3,1]=>[7,1,6,4,5,3,2] [[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[2,7,6,5,3,4,1]=>[7,1,5,6,4,3,2] [[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[2,7,6,5,4,3,1]=>[7,1,6,5,4,3,2] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[3,4,5,6,7,1,2]=>[6,7,1,2,3,4,5] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[3,4,5,7,6,1,2]=>[6,7,1,2,3,5,4] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[3,4,6,7,5,1,2]=>[6,7,1,2,5,3,4] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[3,4,7,5,6,1,2]=>[6,7,1,2,4,5,3] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[3,4,7,6,5,1,2]=>[6,7,1,2,5,4,3] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[3,5,6,7,4,1,2]=>[6,7,1,5,2,3,4] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[3,5,7,6,4,1,2]=>[6,7,1,5,2,4,3] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[3,6,7,4,5,1,2]=>[6,7,1,4,5,2,3] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[3,6,7,5,4,1,2]=>[6,7,1,5,4,2,3] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[3,7,4,5,6,1,2]=>[6,7,1,3,4,5,2] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[3,7,4,6,5,1,2]=>[6,7,1,3,5,4,2] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[3,7,5,6,4,1,2]=>[6,7,1,5,3,4,2] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[3,7,6,4,5,1,2]=>[6,7,1,4,5,3,2] [[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[3,7,6,5,4,1,2]=>[6,7,1,5,4,3,2] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[3,4,5,7,6,2,1]=>[7,6,1,2,3,5,4] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[3,4,6,7,5,2,1]=>[7,6,1,2,5,3,4] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[3,4,7,5,6,2,1]=>[7,6,1,2,4,5,3] [[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[3,4,7,6,5,2,1]=>[7,6,1,2,5,4,3] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[3,5,6,7,4,2,1]=>[7,6,1,5,2,3,4] [[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[3,5,7,6,4,2,1]=>[7,6,1,5,2,4,3] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[3,6,7,4,5,2,1]=>[7,6,1,4,5,2,3] [[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[3,6,7,5,4,2,1]=>[7,6,1,5,4,2,3] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[3,7,4,5,6,2,1]=>[7,6,1,3,4,5,2] [[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[3,7,4,6,5,2,1]=>[7,6,1,3,5,4,2] [[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[3,7,5,6,4,2,1]=>[7,6,1,5,3,4,2] [[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[3,7,6,4,5,2,1]=>[7,6,1,4,5,3,2] [[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[3,7,6,5,4,2,1]=>[7,6,1,5,4,3,2] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[4,5,6,7,1,2,3]=>[5,6,7,1,2,3,4] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[4,5,7,6,1,2,3]=>[5,6,7,1,2,4,3] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[4,6,7,5,1,2,3]=>[5,6,7,1,4,2,3] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[4,7,5,6,1,2,3]=>[5,6,7,1,3,4,2] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[4,7,6,5,1,2,3]=>[5,6,7,1,4,3,2] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[4,5,6,7,1,3,2]=>[5,7,6,1,2,3,4] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[4,5,7,6,1,3,2]=>[5,7,6,1,2,4,3] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[4,6,7,5,1,3,2]=>[5,7,6,1,4,2,3] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[4,7,5,6,1,3,2]=>[5,7,6,1,3,4,2] [[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[4,7,6,5,1,3,2]=>[5,7,6,1,4,3,2] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[4,5,6,7,2,3,1]=>[7,5,6,1,2,3,4] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[4,5,7,6,2,3,1]=>[7,5,6,1,2,4,3] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[4,6,7,5,2,3,1]=>[7,5,6,1,4,2,3] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[4,7,5,6,2,3,1]=>[7,5,6,1,3,4,2] [[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[4,7,6,5,2,3,1]=>[7,5,6,1,4,3,2] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[4,5,6,7,3,1,2]=>[6,7,5,1,2,3,4] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[4,5,7,6,3,1,2]=>[6,7,5,1,2,4,3] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[4,6,7,5,3,1,2]=>[6,7,5,1,4,2,3] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[4,7,5,6,3,1,2]=>[6,7,5,1,3,4,2] [[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[4,7,6,5,3,1,2]=>[6,7,5,1,4,3,2] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4] [[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[4,5,7,6,3,2,1]=>[7,6,5,1,2,4,3] [[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[4,6,7,5,3,2,1]=>[7,6,5,1,4,2,3] [[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[4,7,5,6,3,2,1]=>[7,6,5,1,3,4,2] [[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[4,7,6,5,3,2,1]=>[7,6,5,1,4,3,2] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[5,6,7,1,2,3,4]=>[4,5,6,7,1,2,3] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[5,7,6,1,2,3,4]=>[4,5,6,7,1,3,2] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[5,6,7,1,2,4,3]=>[4,5,7,6,1,2,3] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[5,7,6,1,2,4,3]=>[4,5,7,6,1,3,2] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[5,6,7,1,3,4,2]=>[4,7,5,6,1,2,3] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[5,7,6,1,3,4,2]=>[4,7,5,6,1,3,2] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[5,6,7,1,4,2,3]=>[4,6,7,5,1,2,3] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[5,7,6,1,4,2,3]=>[4,6,7,5,1,3,2] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[5,6,7,1,4,3,2]=>[4,7,6,5,1,2,3] [[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[5,7,6,1,4,3,2]=>[4,7,6,5,1,3,2] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[5,6,7,2,3,4,1]=>[7,4,5,6,1,2,3] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[5,7,6,2,3,4,1]=>[7,4,5,6,1,3,2] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[5,6,7,2,4,3,1]=>[7,4,6,5,1,2,3] [[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[5,7,6,2,4,3,1]=>[7,4,6,5,1,3,2] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[5,6,7,3,4,1,2]=>[6,7,4,5,1,2,3] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[5,7,6,3,4,1,2]=>[6,7,4,5,1,3,2] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[5,6,7,3,4,2,1]=>[7,6,4,5,1,2,3] [[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[5,7,6,3,4,2,1]=>[7,6,4,5,1,3,2] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[5,6,7,4,1,2,3]=>[5,6,7,4,1,2,3] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[5,7,6,4,1,2,3]=>[5,6,7,4,1,3,2] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[5,6,7,4,1,3,2]=>[5,7,6,4,1,2,3] [[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[5,7,6,4,1,3,2]=>[5,7,6,4,1,3,2] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[5,6,7,4,2,3,1]=>[7,5,6,4,1,2,3] [[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[5,7,6,4,2,3,1]=>[7,5,6,4,1,3,2] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[5,6,7,4,3,1,2]=>[6,7,5,4,1,2,3] [[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[5,7,6,4,3,1,2]=>[6,7,5,4,1,3,2] [[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3] [[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[5,7,6,4,3,2,1]=>[7,6,5,4,1,3,2] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[6,7,1,2,3,4,5]=>[3,4,5,6,7,1,2] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[6,7,1,2,3,5,4]=>[3,4,5,7,6,1,2] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[6,7,1,2,4,5,3]=>[3,4,7,5,6,1,2] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[6,7,1,2,5,3,4]=>[3,4,6,7,5,1,2] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[6,7,1,2,5,4,3]=>[3,4,7,6,5,1,2] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[6,7,1,3,4,5,2]=>[3,7,4,5,6,1,2] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[6,7,1,3,5,4,2]=>[3,7,4,6,5,1,2] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[6,7,1,4,5,2,3]=>[3,6,7,4,5,1,2] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[6,7,1,4,5,3,2]=>[3,7,6,4,5,1,2] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[6,7,1,5,2,3,4]=>[3,5,6,7,4,1,2] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[6,7,1,5,2,4,3]=>[3,5,7,6,4,1,2] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[6,7,1,5,3,4,2]=>[3,7,5,6,4,1,2] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[6,7,1,5,4,2,3]=>[3,6,7,5,4,1,2] [[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[6,7,1,5,4,3,2]=>[3,7,6,5,4,1,2] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[6,7,2,3,4,5,1]=>[7,3,4,5,6,1,2] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[6,7,2,3,5,4,1]=>[7,3,4,6,5,1,2] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[6,7,2,4,5,3,1]=>[7,3,6,4,5,1,2] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[6,7,2,5,3,4,1]=>[7,3,5,6,4,1,2] [[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[6,7,2,5,4,3,1]=>[7,3,6,5,4,1,2] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[6,7,3,4,5,1,2]=>[6,7,3,4,5,1,2] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[6,7,3,5,4,1,2]=>[6,7,3,5,4,1,2] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[6,7,3,4,5,2,1]=>[7,6,3,4,5,1,2] [[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[6,7,3,5,4,2,1]=>[7,6,3,5,4,1,2] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[6,7,4,5,1,2,3]=>[5,6,7,3,4,1,2] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[6,7,4,5,1,3,2]=>[5,7,6,3,4,1,2] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[6,7,4,5,2,3,1]=>[7,5,6,3,4,1,2] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[6,7,4,5,3,1,2]=>[6,7,5,3,4,1,2] [[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[6,7,4,5,3,2,1]=>[7,6,5,3,4,1,2] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[6,7,5,1,2,3,4]=>[4,5,6,7,3,1,2] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[6,7,5,1,2,4,3]=>[4,5,7,6,3,1,2] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[6,7,5,1,3,4,2]=>[4,7,5,6,3,1,2] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[6,7,5,1,4,2,3]=>[4,6,7,5,3,1,2] [[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[6,7,5,1,4,3,2]=>[4,7,6,5,3,1,2] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[6,7,5,2,3,4,1]=>[7,4,5,6,3,1,2] [[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[6,7,5,2,4,3,1]=>[7,4,6,5,3,1,2] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[6,7,5,3,4,1,2]=>[6,7,4,5,3,1,2] [[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[6,7,5,3,4,2,1]=>[7,6,4,5,3,1,2] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[6,7,5,4,1,2,3]=>[5,6,7,4,3,1,2] [[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[6,7,5,4,1,3,2]=>[5,7,6,4,3,1,2] [[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[6,7,5,4,2,3,1]=>[7,5,6,4,3,1,2] [[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2] [[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[7,1,2,3,4,6,5]=>[2,3,4,5,7,6,1] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[7,1,2,3,5,6,4]=>[2,3,4,7,5,6,1] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[7,1,2,3,6,4,5]=>[2,3,4,6,7,5,1] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[7,1,2,3,6,5,4]=>[2,3,4,7,6,5,1] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[7,1,2,4,5,6,3]=>[2,3,7,4,5,6,1] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[7,1,2,4,6,5,3]=>[2,3,7,4,6,5,1] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[7,1,2,5,6,3,4]=>[2,3,6,7,4,5,1] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[7,1,2,5,6,4,3]=>[2,3,7,6,4,5,1] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[7,1,2,6,3,4,5]=>[2,3,5,6,7,4,1] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[7,1,2,6,3,5,4]=>[2,3,5,7,6,4,1] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[7,1,2,6,4,5,3]=>[2,3,7,5,6,4,1] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[7,1,2,6,5,3,4]=>[2,3,6,7,5,4,1] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[7,1,2,6,5,4,3]=>[2,3,7,6,5,4,1] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[7,1,3,4,5,6,2]=>[2,7,3,4,5,6,1] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[7,1,3,4,6,5,2]=>[2,7,3,4,6,5,1] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[7,1,3,5,6,4,2]=>[2,7,3,6,4,5,1] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[7,1,3,6,4,5,2]=>[2,7,3,5,6,4,1] [[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[7,1,3,6,5,4,2]=>[2,7,3,6,5,4,1] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[7,1,4,5,6,2,3]=>[2,6,7,3,4,5,1] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[7,1,4,6,5,2,3]=>[2,6,7,3,5,4,1] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[7,1,4,5,6,3,2]=>[2,7,6,3,4,5,1] [[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[7,1,4,6,5,3,2]=>[2,7,6,3,5,4,1] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[7,1,5,6,2,3,4]=>[2,5,6,7,3,4,1] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[7,1,5,6,2,4,3]=>[2,5,7,6,3,4,1] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[7,1,5,6,3,4,2]=>[2,7,5,6,3,4,1] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[7,1,5,6,4,2,3]=>[2,6,7,5,3,4,1] [[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[7,1,5,6,4,3,2]=>[2,7,6,5,3,4,1] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[7,1,6,2,3,4,5]=>[2,4,5,6,7,3,1] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[7,1,6,2,3,5,4]=>[2,4,5,7,6,3,1] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[7,1,6,2,4,5,3]=>[2,4,7,5,6,3,1] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[7,1,6,2,5,3,4]=>[2,4,6,7,5,3,1] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[7,1,6,2,5,4,3]=>[2,4,7,6,5,3,1] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[7,1,6,3,4,5,2]=>[2,7,4,5,6,3,1] [[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[7,1,6,3,5,4,2]=>[2,7,4,6,5,3,1] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[7,1,6,4,5,2,3]=>[2,6,7,4,5,3,1] [[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[7,1,6,4,5,3,2]=>[2,7,6,4,5,3,1] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[7,1,6,5,2,3,4]=>[2,5,6,7,4,3,1] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[7,1,6,5,2,4,3]=>[2,5,7,6,4,3,1] [[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[7,1,6,5,3,4,2]=>[2,7,5,6,4,3,1] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[7,1,6,5,4,2,3]=>[2,6,7,5,4,3,1] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[7,1,6,5,4,3,2]=>[2,7,6,5,4,3,1] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[7,2,3,4,5,6,1] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[7,2,3,4,6,5,1]=>[7,2,3,4,6,5,1] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[7,2,3,5,6,4,1]=>[7,2,3,6,4,5,1] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[7,2,3,6,4,5,1]=>[7,2,3,5,6,4,1] [[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[7,2,3,6,5,4,1]=>[7,2,3,6,5,4,1] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[7,2,4,5,6,3,1]=>[7,2,6,3,4,5,1] [[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[7,2,4,6,5,3,1]=>[7,2,6,3,5,4,1] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[7,2,5,6,3,4,1]=>[7,2,5,6,3,4,1] [[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[7,2,5,6,4,3,1]=>[7,2,6,5,3,4,1] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[7,2,6,3,4,5,1]=>[7,2,4,5,6,3,1] [[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[7,2,6,3,5,4,1]=>[7,2,4,6,5,3,1] [[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[7,2,6,4,5,3,1]=>[7,2,6,4,5,3,1] [[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[7,2,6,5,3,4,1]=>[7,2,5,6,4,3,1] [[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[7,2,6,5,4,3,1]=>[7,2,6,5,4,3,1] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[7,3,4,5,6,1,2]=>[6,7,2,3,4,5,1] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[7,3,4,6,5,1,2]=>[6,7,2,3,5,4,1] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[7,3,5,6,4,1,2]=>[6,7,2,5,3,4,1] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[7,3,6,4,5,1,2]=>[6,7,2,4,5,3,1] [[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[7,3,6,5,4,1,2]=>[6,7,2,5,4,3,1] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[7,3,4,5,6,2,1]=>[7,6,2,3,4,5,1] [[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[7,3,4,6,5,2,1]=>[7,6,2,3,5,4,1] [[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[7,3,5,6,4,2,1]=>[7,6,2,5,3,4,1] [[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[7,3,6,4,5,2,1]=>[7,6,2,4,5,3,1] [[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[7,3,6,5,4,2,1]=>[7,6,2,5,4,3,1] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[7,4,5,6,1,2,3]=>[5,6,7,2,3,4,1] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[7,4,6,5,1,2,3]=>[5,6,7,2,4,3,1] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[7,4,5,6,1,3,2]=>[5,7,6,2,3,4,1] [[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[7,4,6,5,1,3,2]=>[5,7,6,2,4,3,1] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[7,4,5,6,2,3,1]=>[7,5,6,2,3,4,1] [[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[7,4,6,5,2,3,1]=>[7,5,6,2,4,3,1] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[7,4,5,6,3,1,2]=>[6,7,5,2,3,4,1] [[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[7,4,6,5,3,1,2]=>[6,7,5,2,4,3,1] [[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[7,4,5,6,3,2,1]=>[7,6,5,2,3,4,1] [[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[7,4,6,5,3,2,1]=>[7,6,5,2,4,3,1] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[7,5,6,1,2,3,4]=>[4,5,6,7,2,3,1] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[7,5,6,1,2,4,3]=>[4,5,7,6,2,3,1] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[7,5,6,1,3,4,2]=>[4,7,5,6,2,3,1] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[7,5,6,1,4,2,3]=>[4,6,7,5,2,3,1] [[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[7,5,6,1,4,3,2]=>[4,7,6,5,2,3,1] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[7,5,6,2,3,4,1]=>[7,4,5,6,2,3,1] [[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[7,5,6,2,4,3,1]=>[7,4,6,5,2,3,1] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[7,5,6,3,4,1,2]=>[6,7,4,5,2,3,1] [[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[7,5,6,3,4,2,1]=>[7,6,4,5,2,3,1] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[7,5,6,4,1,2,3]=>[5,6,7,4,2,3,1] [[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[7,5,6,4,1,3,2]=>[5,7,6,4,2,3,1] [[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1] [[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[7,5,6,4,3,1,2]=>[6,7,5,4,2,3,1] [[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[7,5,6,4,3,2,1]=>[7,6,5,4,2,3,1] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[7,6,1,2,3,5,4]=>[3,4,5,7,6,2,1] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[7,6,1,2,4,5,3]=>[3,4,7,5,6,2,1] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[7,6,1,2,5,3,4]=>[3,4,6,7,5,2,1] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[7,6,1,2,5,4,3]=>[3,4,7,6,5,2,1] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[7,6,1,3,4,5,2]=>[3,7,4,5,6,2,1] [[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[7,6,1,3,5,4,2]=>[3,7,4,6,5,2,1] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[7,6,1,4,5,2,3]=>[3,6,7,4,5,2,1] [[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[7,6,1,4,5,3,2]=>[3,7,6,4,5,2,1] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[7,6,1,5,2,3,4]=>[3,5,6,7,4,2,1] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[7,6,1,5,2,4,3]=>[3,5,7,6,4,2,1] [[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[7,6,1,5,3,4,2]=>[3,7,5,6,4,2,1] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[7,6,1,5,4,2,3]=>[3,6,7,5,4,2,1] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[7,6,1,5,4,3,2]=>[3,7,6,5,4,2,1] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[7,6,2,3,4,5,1]=>[7,3,4,5,6,2,1] [[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[7,6,2,3,5,4,1]=>[7,3,4,6,5,2,1] [[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[7,6,2,4,5,3,1]=>[7,3,6,4,5,2,1] [[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[7,6,2,5,3,4,1]=>[7,3,5,6,4,2,1] [[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[7,6,2,5,4,3,1]=>[7,3,6,5,4,2,1] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[7,6,3,4,5,1,2]=>[6,7,3,4,5,2,1] [[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[7,6,3,5,4,1,2]=>[6,7,3,5,4,2,1] [[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[7,6,3,4,5,2,1] [[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[7,6,3,5,4,2,1]=>[7,6,3,5,4,2,1] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[7,6,4,5,1,2,3]=>[5,6,7,3,4,2,1] [[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[7,6,4,5,1,3,2]=>[5,7,6,3,4,2,1] [[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[7,6,4,5,2,3,1]=>[7,5,6,3,4,2,1] [[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[7,6,4,5,3,1,2]=>[6,7,5,3,4,2,1] [[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[7,6,4,5,3,2,1]=>[7,6,5,3,4,2,1] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[7,6,5,1,2,3,4]=>[4,5,6,7,3,2,1] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[7,6,5,1,2,4,3]=>[4,5,7,6,3,2,1] [[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[7,6,5,1,3,4,2]=>[4,7,5,6,3,2,1] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[7,6,5,1,4,2,3]=>[4,6,7,5,3,2,1] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[7,6,5,1,4,3,2]=>[4,7,6,5,3,2,1] [[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[7,6,5,2,3,4,1]=>[7,4,5,6,3,2,1] [[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[7,6,5,2,4,3,1]=>[7,4,6,5,3,2,1] [[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[7,6,5,3,4,1,2]=>[6,7,4,5,3,2,1] [[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[7,6,5,3,4,2,1]=>[7,6,4,5,3,2,1] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[7,6,5,4,1,2,3]=>[5,6,7,4,3,2,1] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[7,6,5,4,1,3,2]=>[5,7,6,4,3,2,1] [[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[7,6,5,4,2,3,1]=>[7,5,6,4,3,2,1] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1] [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[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]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7] [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[6,8,7,5,4,3,2,1]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,8,6,7] [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[1,2,3,4,5,8,6,7]=>[1,2,3,4,5,7,8,6] [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,7,6] [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[5,8,7,6,4,3,2,1]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,5,6,7] [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,6,7,8,5] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,7,6,5] [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[1,2,3,8,4,5,6,7]=>[1,2,3,5,6,7,8,4] [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[1,2,3,8,4,7,5,6]=>[1,2,3,5,7,8,6,4] [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[3,5,8,7,6,4,2,1]=>[1,2,4,6,7,8,5,3]=>[1,2,8,3,7,4,5,6] [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>[1,2,4,8,7,6,5,3]=>[1,2,8,3,7,6,5,4] [.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[3,4,5,8,7,6,2,1]=>[1,2,6,7,8,5,4,3]=>[1,2,8,7,6,3,4,5] [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[1,2,8,3,4,5,6,7]=>[1,2,4,5,6,7,8,3] [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[2,6,8,7,5,4,3,1]=>[1,3,4,5,7,8,6,2]=>[1,8,2,3,4,7,5,6] [.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[2,3,5,6,8,7,4,1]=>[1,4,7,8,6,5,3,2]=>[1,8,7,2,6,5,3,4] [.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[3,4,2,5,7,8,6,1]=>[1,6,8,7,5,2,4,3]=>[1,6,8,7,5,2,4,3] [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[4,3,6,5,2,8,7,1]=>[1,7,8,2,5,6,3,4]=>[1,4,7,8,5,6,2,3] [.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[2,3,4,5,6,8,7,1]=>[1,7,8,6,5,4,3,2]=>[1,8,7,6,5,4,2,3] [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>[1,8,2,3,4,5,6,7]=>[1,3,4,5,6,7,8,2] [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>[1,8,2,3,4,7,5,6]=>[1,3,4,5,7,8,6,2] [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[1,8,2,7,3,4,5,6]=>[1,3,5,6,7,8,4,2] [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[1,8,2,7,3,6,4,5]=>[1,3,5,7,8,6,4,2] [.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[4,3,6,5,7,2,8,1]=>[1,8,2,7,5,6,3,4]=>[1,3,7,8,5,6,4,2] [.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[3,2,6,5,7,4,8,1]=>[1,8,4,7,5,6,2,3]=>[1,7,8,3,5,6,4,2] [.,[[[.,[[.,[.,.]],.]],[.,.]],.]]=>[4,3,5,2,7,6,8,1]=>[1,8,6,7,2,5,3,4]=>[1,5,7,8,6,3,4,2] [.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[3,2,5,4,7,6,8,1]=>[1,8,6,7,4,5,2,3]=>[1,7,8,5,6,3,4,2] [.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[1,8,7,6,5,4,2,3]=>[1,7,8,6,5,4,3,2] [.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2] [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,8,7,6,5,4,3,2]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7] [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[1,7,8,6,5,4,3,2]=>[2,3,4,5,6,8,7,1]=>[8,1,2,3,4,5,7,6] [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[1,7,6,5,8,4,3,2]=>[2,3,4,8,5,6,7,1]=>[8,1,2,3,5,6,7,4] [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>[2,4,6,8,7,5,3,1]=>[8,1,7,2,6,3,5,4] [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[2,5,6,7,8,3,4,1]=>[8,1,6,7,2,3,4,5] [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[1,3,4,5,7,8,6,2]=>[2,6,8,7,5,4,3,1]=>[8,1,7,6,5,2,4,3] [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[1,6,5,4,3,8,7,2]=>[2,7,8,3,4,5,6,1]=>[8,1,4,5,6,7,2,3] [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[2,7,8,5,6,3,4,1]=>[8,1,6,7,4,5,2,3] [[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[1,4,3,5,6,7,8,2]=>[2,8,7,6,5,3,4,1]=>[8,1,6,7,5,4,3,2] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[3,4,5,6,7,8,1,2]=>[7,8,1,2,3,4,5,6] [[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[2,1,6,5,7,4,8,3]=>[3,8,4,7,5,6,1,2]=>[7,8,1,3,5,6,4,2] [[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[2,1,5,4,7,6,8,3]=>[3,8,6,7,4,5,1,2]=>[7,8,1,5,6,3,4,2] [[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[2,1,4,5,6,7,8,3]=>[3,8,7,6,5,4,1,2]=>[7,8,1,6,5,4,3,2] [[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[1,2,6,7,8,5,4,3]=>[3,4,5,8,7,6,2,1]=>[8,7,1,2,3,6,5,4] [[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[1,2,5,4,6,7,8,3]=>[3,8,7,6,4,5,2,1]=>[8,7,1,5,6,4,3,2] [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[4,5,6,7,8,1,2,3]=>[6,7,8,1,2,3,4,5] [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[3,2,1,6,5,8,7,4]=>[4,7,8,5,6,1,2,3]=>[6,7,8,1,4,5,2,3] [[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,6,5,7,8,4]=>[4,8,7,5,6,3,2,1]=>[8,7,6,1,4,5,3,2] [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[4,8,7,6,5,3,2,1]=>[8,7,6,1,5,4,3,2] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4] [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[5,6,8,7,1,2,4,3]=>[5,6,8,7,1,2,4,3] [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[5,7,8,6,1,3,4,2]=>[5,8,6,7,1,4,2,3] [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5]=>[5,8,6,7,1,4,2,3]=>[5,7,8,6,1,3,4,2] [[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[2,3,4,1,6,7,8,5]=>[5,8,7,6,1,4,3,2]=>[5,8,7,6,1,4,3,2] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[5,6,7,8,3,4,1,2]=>[7,8,5,6,1,2,3,4] [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[5,7,8,6,3,4,1,2]=>[7,8,5,6,1,4,2,3] [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5]=>[5,8,6,7,3,4,1,2]=>[7,8,5,6,1,3,4,2] [[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[2,1,4,3,6,7,8,5]=>[5,8,7,6,3,4,1,2]=>[7,8,5,6,1,4,3,2] [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,8,7,6,5]=>[5,6,7,8,4,3,2,1]=>[8,7,6,5,1,2,3,4] [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,7,6,8,5]=>[5,8,6,7,4,3,2,1]=>[8,7,6,5,1,3,4,2] [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[5,4,3,2,1,8,7,6]=>[6,7,8,1,2,3,4,5]=>[4,5,6,7,8,1,2,3] [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[6,7,8,1,4,5,2,3]=>[4,7,8,5,6,1,2,3] [[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[3,2,1,4,5,8,7,6]=>[6,7,8,5,4,1,2,3]=>[6,7,8,5,4,1,2,3] [[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[2,3,1,4,5,7,8,6]=>[6,8,7,5,4,1,3,2]=>[6,8,7,5,4,1,3,2] [[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,8,7,6]=>[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,1,2,3] [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[7,8,1,2,3,4,5,6]=>[3,4,5,6,7,8,1,2] [[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[4,3,5,2,6,1,8,7]=>[7,8,1,6,2,5,3,4]=>[3,5,7,8,6,4,1,2] [[.,[[[.,[.,.]],[.,.]],.]],[.,.]]=>[3,2,5,4,6,1,8,7]=>[7,8,1,6,4,5,2,3]=>[3,7,8,5,6,4,1,2] [[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[2,3,4,5,6,1,8,7]=>[7,8,1,6,5,4,3,2]=>[3,8,7,6,5,4,1,2] [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[7,8,3,4,5,6,1,2]=>[7,8,3,4,5,6,1,2] [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,6,5,3,8,7]=>[7,8,3,5,6,4,1,2]=>[7,8,3,6,4,5,1,2] [[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[2,1,5,4,6,3,8,7]=>[7,8,3,6,4,5,1,2]=>[7,8,3,5,6,4,1,2] [[[.,[.,.]],[[[.,.],.],.]],[.,.]]=>[2,1,4,5,6,3,8,7]=>[7,8,3,6,5,4,1,2]=>[7,8,3,6,5,4,1,2] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[7,8,5,6,1,2,3,4]=>[5,6,7,8,3,4,1,2] [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7]=>[7,8,5,6,1,3,4,2]=>[5,8,6,7,3,4,1,2] [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7]=>[7,8,5,6,1,4,2,3]=>[5,7,8,6,3,4,1,2] [[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[2,3,4,1,6,5,8,7]=>[7,8,5,6,1,4,3,2]=>[5,8,7,6,3,4,1,2] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2] [[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,8,7]=>[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2] [[[[[[[.,.],.],.],.],.],.],[.,.]]=>[1,2,3,4,5,6,8,7]=>[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,1,2] [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1] [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[8,1,2,3,4,5,7,6]=>[2,3,4,5,6,8,7,1] [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[8,1,2,3,4,7,5,6]=>[2,3,4,5,7,8,6,1] [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[4,7,6,5,3,2,1,8]=>[8,1,2,3,5,6,7,4]=>[2,3,4,8,5,6,7,1] [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[8,1,2,3,7,4,5,6]=>[2,3,4,6,7,8,5,1] [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[3,2,7,6,5,4,1,8]=>[8,1,4,5,6,7,2,3]=>[2,7,8,3,4,5,6,1] [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[5,4,3,2,7,6,1,8]=>[8,1,6,7,2,3,4,5]=>[2,5,6,7,8,3,4,1] [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,1,8]=>[8,1,6,7,4,5,2,3]=>[2,7,8,5,6,3,4,1] [[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[1,4,3,2,7,6,5,8]=>[8,5,6,7,2,3,4,1]=>[8,5,6,7,2,3,4,1] [[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[1,3,4,2,6,7,5,8]=>[8,5,7,6,2,4,3,1]=>[8,5,7,6,2,4,3,1] [[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[1,2,3,5,4,7,6,8]=>[8,6,7,4,5,3,2,1]=>[8,7,6,4,5,2,3,1] [[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[1,3,2,4,5,7,6,8]=>[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1] [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[6,5,4,3,2,1,7,8]=>[8,7,1,2,3,4,5,6]=>[3,4,5,6,7,8,2,1] [[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[8,7,1,2,3,6,5,4]=>[3,4,5,8,7,6,2,1] [[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[1,2,4,3,6,5,7,8]=>[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1] [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[8,7,6,1,2,3,4,5]=>[4,5,6,7,8,3,2,1] [[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[8,7,6,1,5,4,3,2]=>[4,8,7,6,5,3,2,1] [[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[1,3,2,5,4,6,7,8]=>[8,7,6,4,5,2,3,1]=>[8,6,7,4,5,3,2,1] [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[8,7,6,5,1,2,3,4]=>[5,6,7,8,4,3,2,1] [[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[2,1,4,3,5,6,7,8]=>[8,7,6,5,3,4,1,2]=>[7,8,5,6,4,3,2,1] [[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[8,7,6,5,4,1,2,3]=>[6,7,8,5,4,3,2,1] [[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[8,7,6,5,4,3,1,2]=>[7,8,6,5,4,3,2,1] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]
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
reverse
Description
Sends a permutation to its reverse.
The reverse of a permutation $\sigma$ of length $n$ is given by $\tau$ with $\tau(i) = \sigma(n+1-i)$.
Map
inverse
Description
Sends a permutation to its inverse.