Identifier
Mp00017: Binary trees to 312-avoiding permutationPermutations
Mp00126: Permutations cactus evacuationPermutations
Mp00066: Permutations inversePermutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1] [.,[.,.]]=>[2,1]=>[2,1]=>[2,1] [[.,.],.]=>[1,2]=>[1,2]=>[1,2] [.,[.,[.,.]]]=>[3,2,1]=>[3,2,1]=>[3,2,1] [.,[[.,.],.]]=>[2,3,1]=>[2,1,3]=>[2,1,3] [[.,.],[.,.]]=>[1,3,2]=>[3,1,2]=>[2,3,1] [[.,[.,.]],.]=>[2,1,3]=>[2,3,1]=>[3,1,2] [[[.,.],.],.]=>[1,2,3]=>[1,2,3]=>[1,2,3] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[3,2,1,4]=>[3,2,1,4] [.,[[.,.],[.,.]]]=>[2,4,3,1]=>[4,2,1,3]=>[3,2,4,1] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[3,2,4,1]=>[4,2,1,3] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[2,1,3,4]=>[2,1,3,4] [[.,.],[.,[.,.]]]=>[1,4,3,2]=>[4,3,1,2]=>[3,4,2,1] [[.,.],[[.,.],.]]=>[1,3,4,2]=>[3,1,2,4]=>[2,3,1,4] [[.,[.,.]],[.,.]]=>[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3] [[[.,.],.],[.,.]]=>[1,2,4,3]=>[4,1,2,3]=>[2,3,4,1] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,4,2,1]=>[4,3,1,2] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[2,3,1,4]=>[3,1,2,4] [[[.,.],[.,.]],.]=>[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,3,4,1]=>[4,1,2,3] [[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[4,3,2,1,5]=>[4,3,2,1,5] [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[5,3,2,1,4]=>[4,3,2,5,1] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[4,3,2,5,1]=>[5,3,2,1,4] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[3,2,1,4,5]=>[3,2,1,4,5] [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[5,4,2,1,3]=>[4,3,5,2,1] [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[4,2,1,3,5]=>[3,2,4,1,5] [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[3,2,1,5,4]=>[3,2,1,5,4] [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[5,2,1,3,4]=>[3,2,4,5,1] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[4,3,5,2,1]=>[5,4,2,1,3] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[3,2,4,1,5]=>[4,2,1,3,5] [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[4,2,3,1,5]=>[4,2,3,1,5] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[3,2,4,5,1]=>[5,2,1,3,4] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[2,1,3,4,5]=>[2,1,3,4,5] [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[5,4,3,1,2]=>[4,5,3,2,1] [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[4,3,1,2,5]=>[3,4,2,1,5] [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[5,3,1,2,4]=>[3,4,2,5,1] [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[4,1,3,2,5]=>[2,4,3,1,5] [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[3,1,2,4,5]=>[2,3,1,4,5] [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[5,2,1,4,3]=>[3,2,5,4,1] [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[2,1,4,5,3]=>[2,1,5,3,4] [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[3,4,5,2,1] [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[4,1,2,3,5]=>[2,3,4,1,5] [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[3,2,5,4,1]=>[5,2,1,4,3] [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[2,1,5,3,4]=>[2,1,4,5,3] [[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[3,1,5,2,4]=>[2,4,1,5,3] [[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4] [[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[5,1,2,3,4]=>[2,3,4,5,1] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,5,3,2,1]=>[5,4,3,1,2] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[3,4,2,1,5]=>[4,3,1,2,5] [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[2,4,3,1,5]=>[4,1,3,2,5] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[3,4,2,5,1]=>[5,3,1,2,4] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[2,3,1,4,5]=>[3,1,2,4,5] [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5] [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[1,3,2,4,5]=>[1,3,2,4,5] [[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[2,4,1,5,3]=>[3,1,5,2,4] [[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[1,4,2,3,5]=>[1,3,4,2,5] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[5,4,1,2,3] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[2,3,4,1,5]=>[4,1,2,3,5] [[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[1,3,4,2,5]=>[1,4,2,3,5] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,3,4,5,1]=>[5,1,2,3,4] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6] [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[6,4,3,2,1,5]=>[5,4,3,2,6,1] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[5,4,3,2,6,1]=>[6,4,3,2,1,5] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6] [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[6,5,3,2,1,4]=>[5,4,3,6,2,1] [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[5,3,2,1,4,6]=>[4,3,2,5,1,6] [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5] [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[6,3,2,1,4,5]=>[4,3,2,5,6,1] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[6,5,3,2,1,4] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6] [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[5,3,2,4,1,6]=>[5,3,2,4,1,6] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6] [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[6,5,4,2,1,3]=>[5,4,6,3,2,1] [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[5,4,2,1,3,6]=>[4,3,5,2,1,6] [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[6,4,2,1,3,5]=>[4,3,5,2,6,1] [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[5,4,2,3,1,6]=>[5,3,4,2,1,6] [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6] [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[6,3,2,1,5,4]=>[4,3,2,6,5,1] [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[3,2,1,5,6,4]=>[3,2,1,6,4,5] [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[6,5,2,1,3,4]=>[4,3,5,6,2,1] [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6] [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[4,3,2,6,5,1]=>[6,3,2,1,5,4] [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[3,2,1,6,4,5]=>[3,2,1,5,6,4] [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[4,2,1,6,3,5]=>[3,2,5,1,6,4] [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5] [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[5,4,6,3,2,1]=>[6,5,4,2,1,3] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[4,3,5,2,1,6]=>[5,4,2,1,3,6] [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[5,3,4,2,1,6]=>[5,4,2,3,1,6] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[6,4,2,1,3,5] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6] [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[5,2,4,3,1,6]=>[5,2,4,3,1,6] [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[4,2,3,1,5,6]=>[4,2,3,1,5,6] [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[3,2,5,1,6,4]=>[4,2,1,6,3,5] [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[5,2,3,1,4,6]=>[4,2,3,5,1,6] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6] [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[4,2,3,5,1,6]=>[5,2,3,1,4,6] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[6,5,4,3,1,2]=>[5,6,4,3,2,1] [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[5,4,3,1,2,6]=>[4,5,3,2,1,6] [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[6,4,3,1,2,5]=>[4,5,3,2,6,1] [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[5,4,1,3,2,6]=>[3,5,4,2,1,6] [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6] [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[6,5,3,1,2,4]=>[4,5,3,6,2,1] [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6] [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[4,3,1,6,2,5]=>[3,5,2,1,6,4] [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1] [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[5,1,4,3,2,6]=>[2,5,4,3,1,6] [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[4,1,3,2,5,6]=>[2,4,3,1,5,6] [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[5,1,3,2,4,6]=>[2,4,3,5,1,6] [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[4,1,3,5,2,6]=>[2,5,3,1,4,6] [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6] [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[6,5,2,1,4,3]=>[4,3,6,5,2,1] [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[5,2,1,4,6,3]=>[3,2,6,4,1,5] [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[6,2,1,4,5,3]=>[3,2,6,4,5,1] [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[5,2,4,1,6,3]=>[4,2,6,3,1,5] [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[2,1,4,5,6,3]=>[2,1,6,3,4,5] [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[6,5,4,1,2,3]=>[4,5,6,3,2,1] [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6] [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1] [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[5,1,4,2,3,6]=>[2,4,5,3,1,6] [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6] [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4] [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[3,2,5,6,4,1]=>[6,2,1,5,3,4] [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[6,2,1,5,3,4]=>[3,2,5,6,4,1] [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[6,3,1,5,2,4]=>[3,5,2,6,4,1] [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[3,1,2,5,4,6]=>[2,3,1,5,4,6] [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[6,2,1,3,5,4]=>[3,2,4,6,5,1] [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[2,1,3,5,6,4]=>[2,1,3,6,4,5] [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1] [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6] [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[4,3,6,5,2,1]=>[6,5,2,1,4,3] [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[3,2,6,4,1,5]=>[5,2,1,4,6,3] [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[4,2,6,3,1,5]=>[5,2,4,1,6,3] [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[3,2,6,4,5,1]=>[6,2,1,4,5,3] [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[2,1,6,3,4,5]=>[2,1,4,5,6,3] [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[4,1,6,3,2,5]=>[2,5,4,1,6,3] [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[3,1,6,2,4,5]=>[2,4,1,5,6,3] [[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[4,1,6,2,3,5]=>[2,4,5,1,6,3] [[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[3,2,4,6,5,1]=>[6,2,1,3,5,4] [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[2,1,3,6,4,5]=>[2,1,3,5,6,4] [[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[3,1,2,6,4,5]=>[2,3,1,5,6,4] [[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[5,4,3,1,2,6] [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[3,5,4,2,1,6]=>[5,4,1,3,2,6] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6] [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[2,5,4,3,1,6]=>[5,1,4,3,2,6] [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[2,4,3,1,5,6]=>[4,1,3,2,5,6] [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[3,5,2,1,6,4]=>[4,3,1,6,2,5] [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[2,5,3,1,4,6]=>[4,1,3,5,2,6] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6] [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[2,4,3,5,1,6]=>[5,1,3,2,4,6] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6] [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6] [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6] [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[1,5,3,2,4,6]=>[1,4,3,5,2,6] [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[1,4,3,5,2,6]=>[1,5,3,2,4,6] [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[2,5,4,1,6,3]=>[4,1,6,3,2,5] [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[2,4,1,5,6,3]=>[3,1,6,2,4,5] [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[1,5,4,2,3,6]=>[1,4,5,3,2,6] [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6] [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[3,5,2,6,4,1]=>[6,3,1,5,2,4] [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[2,3,1,5,4,6]=>[3,1,2,5,4,6] [[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[2,3,1,5,6,4]=>[3,1,2,6,4,5] [[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6] [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[2,4,5,3,1,6]=>[5,1,4,2,3,6] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6] [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[1,4,5,3,2,6]=>[1,5,4,2,3,6] [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6] [[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[2,4,5,1,6,3]=>[4,1,6,2,3,5] [[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6] [[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5] [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[7,6,4,3,2,1,5]=>[6,5,4,3,7,2,1] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[6,4,3,2,1,5,7]=>[5,4,3,2,6,1,7] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[7,4,3,2,1,5,6]=>[5,4,3,2,6,7,1] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[6,5,4,3,7,2,1]=>[7,6,4,3,2,1,5] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[5,4,3,2,6,1,7]=>[6,4,3,2,1,5,7] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[6,4,3,2,5,1,7]=>[6,4,3,2,5,1,7] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[5,4,3,2,6,7,1]=>[7,4,3,2,1,5,6] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[7,6,5,3,2,1,4]=>[6,5,4,7,3,2,1] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[6,5,3,2,1,4,7]=>[5,4,3,6,2,1,7] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[7,5,3,2,1,4,6]=>[5,4,3,6,2,7,1] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[6,5,3,2,4,1,7]=>[6,4,3,5,2,1,7] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[5,3,2,1,4,6,7]=>[4,3,2,5,1,6,7] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[7,4,3,2,1,6,5]=>[5,4,3,2,7,6,1] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[4,3,2,1,6,7,5]=>[4,3,2,1,7,5,6] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[7,6,3,2,1,4,5]=>[5,4,3,6,7,2,1] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[6,3,2,1,4,5,7]=>[4,3,2,5,6,1,7] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[5,4,3,2,7,6,1]=>[7,4,3,2,1,6,5] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[4,3,2,1,7,5,6]=>[4,3,2,1,6,7,5] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[5,3,2,1,7,4,6]=>[4,3,2,6,1,7,5] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[7,3,2,1,4,5,6]=>[4,3,2,5,6,7,1] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[6,5,4,7,3,2,1]=>[7,6,5,3,2,1,4] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[5,4,3,6,2,1,7]=>[6,5,3,2,1,4,7] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[6,4,3,5,2,1,7]=>[6,5,3,2,4,1,7] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[5,4,3,6,2,7,1]=>[7,5,3,2,1,4,6] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>[5,3,2,1,4,6,7] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[6,5,3,4,2,1,7]=>[6,5,3,4,2,1,7] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[5,3,2,4,1,6,7]=>[5,3,2,4,1,6,7] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[4,3,2,6,1,7,5]=>[5,3,2,1,7,4,6] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[6,3,2,4,1,5,7]=>[5,3,2,4,6,1,7] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]=>[7,6,3,2,1,4,5] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[4,3,2,5,6,1,7]=>[6,3,2,1,4,5,7] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[5,3,2,4,6,1,7]=>[6,3,2,4,1,5,7] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[4,3,2,5,6,7,1]=>[7,3,2,1,4,5,6] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[7,6,5,4,2,1,3]=>[6,5,7,4,3,2,1] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[6,5,4,2,1,3,7]=>[5,4,6,3,2,1,7] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[7,5,4,2,1,3,6]=>[5,4,6,3,2,7,1] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[6,5,4,2,3,1,7]=>[6,4,5,3,2,1,7] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[5,4,2,1,3,6,7]=>[4,3,5,2,1,6,7] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[7,6,4,2,1,3,5]=>[5,4,6,3,7,2,1] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[6,4,2,1,3,5,7]=>[4,3,5,2,6,1,7] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[5,4,2,1,7,3,6]=>[4,3,6,2,1,7,5] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[7,4,2,1,3,5,6]=>[4,3,5,2,6,7,1] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[6,5,2,4,3,1,7]=>[6,3,5,4,2,1,7] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[5,4,2,3,1,6,7]=>[5,3,4,2,1,6,7] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[6,4,2,3,1,5,7]=>[5,3,4,2,6,1,7] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[5,4,2,3,6,1,7]=>[6,3,4,2,1,5,7] [.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[4,2,1,3,5,6,7]=>[3,2,4,1,5,6,7] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[7,6,3,2,1,5,4]=>[5,4,3,7,6,2,1] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[6,3,2,1,5,7,4]=>[4,3,2,7,5,1,6] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[7,3,2,1,5,6,4]=>[4,3,2,7,5,6,1] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[6,3,2,5,1,7,4]=>[5,3,2,7,4,1,6] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[3,2,1,5,6,7,4]=>[3,2,1,7,4,5,6] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[7,6,5,2,1,3,4]=>[5,4,6,7,3,2,1] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[6,5,2,1,3,4,7]=>[4,3,5,6,2,1,7] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[7,5,2,1,3,4,6]=>[4,3,5,6,2,7,1] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[6,5,2,3,1,4,7]=>[5,3,4,6,2,1,7] [.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[5,2,1,3,4,6,7]=>[3,2,4,5,1,6,7] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[4,3,2,6,7,5,1]=>[7,3,2,1,6,4,5] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[7,3,2,1,6,4,5]=>[4,3,2,6,7,5,1] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[7,4,2,1,6,3,5]=>[4,3,6,2,7,5,1] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[4,2,1,3,6,5,7]=>[3,2,4,1,6,5,7] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[7,3,2,1,4,6,5]=>[4,3,2,5,7,6,1] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[3,2,1,4,6,7,5]=>[3,2,1,4,7,5,6] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[7,6,2,1,3,4,5]=>[4,3,5,6,7,2,1] [.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[6,2,1,3,4,5,7]=>[3,2,4,5,6,1,7] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[5,4,3,7,6,2,1]=>[7,6,3,2,1,5,4] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[4,3,2,7,5,1,6]=>[6,3,2,1,5,7,4] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[5,3,2,7,4,1,6]=>[6,3,2,5,1,7,4] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[4,3,2,7,5,6,1]=>[7,3,2,1,5,6,4] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[3,2,1,7,4,5,6]=>[3,2,1,5,6,7,4] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[5,4,2,7,3,1,6]=>[6,3,5,2,1,7,4] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[4,2,1,7,3,5,6]=>[3,2,5,1,6,7,4] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[5,2,1,7,3,4,6]=>[3,2,5,6,1,7,4] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[4,3,2,5,7,6,1]=>[7,3,2,1,4,6,5] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[3,2,1,4,7,5,6]=>[3,2,1,4,6,7,5] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[4,2,1,3,7,5,6]=>[3,2,4,1,6,7,5] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6] [.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[5,4,6,3,2,1,7]=>[6,5,4,2,1,3,7] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[6,4,5,3,2,1,7]=>[6,5,4,2,3,1,7] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[5,4,6,3,2,7,1]=>[7,5,4,2,1,3,6] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[4,3,5,2,1,6,7]=>[5,4,2,1,3,6,7] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[6,3,5,4,2,1,7]=>[6,5,2,4,3,1,7] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[5,3,4,2,1,6,7]=>[5,4,2,3,1,6,7] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[4,3,6,2,1,7,5]=>[5,4,2,1,7,3,6] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[6,3,4,2,1,5,7]=>[5,4,2,3,6,1,7] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[5,4,6,3,7,2,1]=>[7,6,4,2,1,3,5] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>[6,4,2,1,3,5,7] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[5,3,4,2,6,1,7]=>[6,4,2,3,1,5,7] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[4,3,5,2,6,7,1]=>[7,4,2,1,3,5,6] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[3,2,4,1,5,6,7]=>[4,2,1,3,5,6,7] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[6,2,5,4,3,1,7]=>[6,2,5,4,3,1,7] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[5,2,4,3,1,6,7]=>[5,2,4,3,1,6,7] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[6,2,4,3,1,5,7]=>[5,2,4,3,6,1,7] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[5,2,4,3,6,1,7]=>[6,2,4,3,1,5,7] [.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[4,2,3,1,5,6,7]=>[4,2,3,1,5,6,7] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[6,3,5,2,1,7,4]=>[5,4,2,7,3,1,6] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[3,2,5,1,6,7,4]=>[4,2,1,7,3,5,6] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[6,2,5,3,1,4,7]=>[5,2,4,6,3,1,7] [.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[5,2,3,1,4,6,7]=>[4,2,3,5,1,6,7] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[4,3,6,2,7,5,1]=>[7,4,2,1,6,3,5] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[3,2,4,1,6,5,7]=>[4,2,1,3,6,5,7] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[4,2,3,1,6,5,7]=>[4,2,3,1,6,5,7] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[3,2,4,1,6,7,5]=>[4,2,1,3,7,5,6] [.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[6,2,3,1,4,5,7]=>[4,2,3,5,6,1,7] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[5,4,6,7,3,2,1]=>[7,6,5,2,1,3,4] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>[6,5,2,1,3,4,7] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[5,3,4,6,2,1,7]=>[6,5,2,3,1,4,7] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[4,3,5,6,2,7,1]=>[7,5,2,1,3,4,6] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[5,2,4,6,3,1,7]=>[6,2,5,3,1,4,7] [.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[4,2,3,5,1,6,7]=>[5,2,3,1,4,6,7] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[3,2,5,6,1,7,4]=>[5,2,1,7,3,4,6] [.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[5,2,3,4,1,6,7]=>[5,2,3,4,1,6,7] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[4,3,5,6,7,2,1]=>[7,6,2,1,3,4,5] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[3,2,4,5,6,1,7]=>[6,2,1,3,4,5,7] [.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[4,2,3,5,6,1,7]=>[6,2,3,1,4,5,7] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[6,5,4,3,1,2,7]=>[5,6,4,3,2,1,7] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[7,5,4,3,1,2,6]=>[5,6,4,3,2,7,1] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[6,5,4,1,3,2,7]=>[4,6,5,3,2,1,7] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[5,4,3,1,2,6,7]=>[4,5,3,2,1,6,7] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[7,6,4,3,1,2,5]=>[5,6,4,3,7,2,1] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[6,4,3,1,2,5,7]=>[4,5,3,2,6,1,7] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[5,4,3,1,7,2,6]=>[4,6,3,2,1,7,5] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[7,4,3,1,2,5,6]=>[4,5,3,2,6,7,1] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[6,5,1,4,3,2,7]=>[3,6,5,4,2,1,7] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[5,4,1,3,2,6,7]=>[3,5,4,2,1,6,7] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[6,4,1,3,2,5,7]=>[3,5,4,2,6,1,7] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[5,4,1,3,6,2,7]=>[3,6,4,2,1,5,7] [[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[4,3,1,2,5,6,7]=>[3,4,2,1,5,6,7] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[7,6,5,3,1,2,4]=>[5,6,4,7,3,2,1] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[6,5,3,1,2,4,7]=>[4,5,3,6,2,1,7] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[7,5,3,1,2,4,6]=>[4,5,3,6,2,7,1] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[6,5,1,3,2,4,7]=>[3,5,4,6,2,1,7] [[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[5,3,1,2,4,6,7]=>[3,4,2,5,1,6,7] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[7,4,3,1,6,2,5]=>[4,6,3,2,7,5,1] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[4,3,1,2,6,5,7]=>[3,4,2,1,6,5,7] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[7,6,3,1,2,4,5]=>[4,5,3,6,7,2,1] [[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[6,3,1,2,4,5,7]=>[3,4,2,5,6,1,7] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[5,4,1,7,3,2,6]=>[3,6,5,2,1,7,4] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[4,3,1,7,2,5,6]=>[3,5,2,1,6,7,4] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[5,3,1,7,2,4,6]=>[3,5,2,6,1,7,4] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[4,3,1,2,7,5,6]=>[3,4,2,1,6,7,5] [[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[7,3,1,2,4,5,6]=>[3,4,2,5,6,7,1] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[6,1,5,4,3,2,7]=>[2,6,5,4,3,1,7] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[5,1,4,3,2,6,7]=>[2,5,4,3,1,6,7] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[6,1,4,3,2,5,7]=>[2,5,4,3,6,1,7] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[5,1,4,3,6,2,7]=>[2,6,4,3,1,5,7] [[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[4,1,3,2,5,6,7]=>[2,4,3,1,5,6,7] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[6,1,5,3,2,4,7]=>[2,5,4,6,3,1,7] [[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[5,1,3,2,4,6,7]=>[2,4,3,5,1,6,7] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7] [[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[6,1,3,2,4,5,7]=>[2,4,3,5,6,1,7] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[5,1,4,6,3,2,7]=>[2,6,5,3,1,4,7] [[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[4,1,3,5,2,6,7]=>[2,5,3,1,4,6,7] [[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[5,1,3,4,2,6,7]=>[2,5,3,4,1,6,7] [[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[4,1,3,5,6,2,7]=>[2,6,3,1,4,5,7] [[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[7,6,5,2,1,4,3]=>[5,4,7,6,3,2,1] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[6,5,2,1,4,7,3]=>[4,3,7,5,2,1,6] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[7,5,2,1,4,6,3]=>[4,3,7,5,2,6,1] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[6,5,2,4,1,7,3]=>[5,3,7,4,2,1,6] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[5,2,1,4,6,7,3]=>[3,2,7,4,1,5,6] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[7,6,2,1,4,5,3]=>[4,3,7,5,6,2,1] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[6,2,1,4,5,7,3]=>[3,2,7,4,5,1,6] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[7,2,1,4,5,6,3]=>[3,2,7,4,5,6,1] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[6,2,5,4,1,7,3]=>[5,2,7,4,3,1,6] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[5,2,4,1,6,7,3]=>[4,2,7,3,1,5,6] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[6,2,4,1,5,7,3]=>[4,2,7,3,5,1,6] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[5,2,4,6,1,7,3]=>[5,2,7,3,1,4,6] [[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[2,1,4,5,6,7,3]=>[2,1,7,3,4,5,6] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[7,6,5,4,1,2,3]=>[5,6,7,4,3,2,1] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[6,5,4,1,2,3,7]=>[4,5,6,3,2,1,7] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[7,5,4,1,2,3,6]=>[4,5,6,3,2,7,1] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[6,5,1,4,2,3,7]=>[3,5,6,4,2,1,7] [[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[5,4,1,2,3,6,7]=>[3,4,5,2,1,6,7] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[7,6,4,1,2,3,5]=>[4,5,6,3,7,2,1] [[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[6,4,1,2,3,5,7]=>[3,4,5,2,6,1,7] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[5,4,1,7,2,3,6]=>[3,5,6,2,1,7,4] [[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[7,4,1,2,3,5,6]=>[3,4,5,2,6,7,1] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[6,1,5,4,2,3,7]=>[2,5,6,4,3,1,7] [[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[5,1,4,2,3,6,7]=>[2,4,5,3,1,6,7] [[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[6,1,4,2,3,5,7]=>[2,4,5,3,6,1,7] [[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[5,1,2,4,3,6,7]=>[2,3,5,4,1,6,7] [[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[7,3,2,1,6,5,4]=>[4,3,2,7,6,5,1] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[3,2,1,6,7,5,4]=>[3,2,1,7,6,4,5] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[3,2,1,5,7,6,4]=>[3,2,1,7,4,6,5] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[3,2,6,1,7,5,4]=>[4,2,1,7,6,3,5] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[3,2,5,6,7,4,1]=>[7,2,1,6,3,4,5] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[7,6,2,1,5,3,4]=>[4,3,6,7,5,2,1] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[6,2,1,3,5,4,7]=>[3,2,4,6,5,1,7] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[7,2,1,3,5,4,6]=>[3,2,4,6,5,7,1] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[6,2,3,1,5,4,7]=>[4,2,3,6,5,1,7] [[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[2,1,3,5,6,4,7]=>[2,1,3,6,4,5,7] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[7,6,3,1,5,2,4]=>[4,6,3,7,5,2,1] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[6,3,1,2,5,4,7]=>[3,4,2,6,5,1,7] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[7,3,1,2,5,4,6]=>[3,4,2,6,5,7,1] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[6,1,3,2,5,4,7]=>[2,4,3,6,5,1,7] [[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[3,1,2,5,6,4,7]=>[2,3,1,6,4,5,7] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[7,6,2,1,3,5,4]=>[4,3,5,7,6,2,1] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[6,2,1,3,5,7,4]=>[3,2,4,7,5,1,6] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[7,2,1,3,5,6,4]=>[3,2,4,7,5,6,1] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[6,2,3,1,5,7,4]=>[4,2,3,7,5,1,6] [[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[2,1,3,5,6,7,4]=>[2,1,3,7,4,5,6] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[4,5,6,7,3,2,1] [[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[6,5,1,2,3,4,7]=>[3,4,5,6,2,1,7] [[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[7,5,1,2,3,4,6]=>[3,4,5,6,2,7,1] [[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[6,1,5,2,3,4,7]=>[2,4,5,6,3,1,7] [[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[4,3,2,7,6,5,1]=>[7,3,2,1,6,5,4] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[4,3,6,7,5,2,1]=>[7,6,2,1,5,3,4] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[3,2,1,7,6,4,5]=>[3,2,1,6,7,5,4] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[3,2,4,6,5,1,7]=>[6,2,1,3,5,4,7] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[4,2,1,7,6,3,5]=>[3,2,6,1,7,5,4] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[4,2,3,6,5,1,7]=>[6,2,3,1,5,4,7] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[3,2,1,7,4,6,5]=>[3,2,1,5,7,6,4] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[3,2,4,6,5,7,1]=>[7,2,1,3,5,4,6] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[7,2,1,6,3,4,5]=>[3,2,5,6,7,4,1] [[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[2,1,3,6,4,5,7]=>[2,1,3,5,6,4,7] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[4,3,1,7,6,2,5]=>[3,6,2,1,7,5,4] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[4,1,3,6,5,2,7]=>[2,6,3,1,5,4,7] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[7,3,1,6,2,4,5]=>[3,5,2,6,7,4,1] [[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[3,1,2,6,4,5,7]=>[2,3,1,5,6,4,7] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[7,2,1,4,3,6,5]=>[3,2,5,4,7,6,1] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[2,1,4,6,3,7,5]=>[2,1,5,3,7,4,6] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[7,4,1,6,2,3,5]=>[3,5,6,2,7,4,1] [[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[4,1,2,6,3,5,7]=>[2,3,5,1,6,4,7] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[3,2,4,6,7,5,1]=>[7,2,1,3,6,4,5] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[7,2,1,3,6,4,5]=>[3,2,4,6,7,5,1] [[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[7,3,1,2,6,4,5]=>[3,4,2,6,7,5,1] [[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[3,1,2,4,6,5,7]=>[2,3,1,4,6,5,7] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[7,2,1,3,4,6,5]=>[3,2,4,5,7,6,1] [[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,5,6] [[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1] [[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[5,4,7,6,3,2,1]=>[7,6,5,2,1,4,3] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[4,3,7,5,2,1,6]=>[6,5,2,1,4,7,3] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[5,3,7,4,2,1,6]=>[6,5,2,4,1,7,3] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[4,3,7,5,2,6,1]=>[7,5,2,1,4,6,3] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[3,2,7,4,1,5,6]=>[5,2,1,4,6,7,3] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[5,2,7,4,3,1,6]=>[6,2,5,4,1,7,3] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[4,2,7,3,1,5,6]=>[5,2,4,1,6,7,3] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[3,2,5,4,1,7,6]=>[5,2,1,4,3,7,6] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[5,2,7,3,1,4,6]=>[5,2,4,6,1,7,3] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[4,3,7,5,6,2,1]=>[7,6,2,1,4,5,3] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[3,2,7,4,5,1,6]=>[6,2,1,4,5,7,3] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[4,2,7,3,5,1,6]=>[6,2,4,1,5,7,3] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[3,2,7,4,5,6,1]=>[7,2,1,4,5,6,3] [[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[2,1,7,3,4,5,6]=>[2,1,4,5,6,7,3] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[5,1,7,4,3,2,6]=>[2,6,5,4,1,7,3] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[4,1,7,3,2,5,6]=>[2,5,4,1,6,7,3] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[5,1,7,3,2,4,6]=>[2,5,4,6,1,7,3] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[4,1,7,3,5,2,6]=>[2,6,4,1,5,7,3] [[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[3,1,7,2,4,5,6]=>[2,4,1,5,6,7,3] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[5,1,7,4,2,3,6]=>[2,5,6,4,1,7,3] [[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[4,1,7,2,3,5,6]=>[2,4,5,1,6,7,3] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[3,2,5,4,7,6,1]=>[7,2,1,4,3,6,5] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[2,1,5,3,7,4,6]=>[2,1,4,6,3,7,5] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[3,1,5,2,7,4,6]=>[2,4,1,6,3,7,5] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[2,1,5,3,4,7,6]=>[2,1,4,5,3,7,6] [[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[5,1,7,2,3,4,6]=>[2,4,5,6,1,7,3] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[4,3,5,7,6,2,1]=>[7,6,2,1,3,5,4] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[3,2,4,7,5,1,6]=>[6,2,1,3,5,7,4] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[4,2,3,7,5,1,6]=>[6,2,3,1,5,7,4] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[3,2,4,7,5,6,1]=>[7,2,1,3,5,6,4] [[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[2,1,3,7,4,5,6]=>[2,1,3,5,6,7,4] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[4,1,3,7,5,2,6]=>[2,6,3,1,5,7,4] [[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[3,1,2,7,4,5,6]=>[2,3,1,5,6,7,4] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[2,1,4,5,3,7,6]=>[2,1,5,3,4,7,6] [[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[4,1,2,7,3,5,6]=>[2,3,5,1,6,7,4] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[3,2,4,5,7,6,1]=>[7,2,1,3,4,6,5] [[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[2,1,3,4,7,5,6]=>[2,1,3,4,6,7,5] [[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[3,1,2,4,7,5,6]=>[2,3,1,4,6,7,5] [[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6] [[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[5,6,4,3,2,1,7]=>[6,5,4,3,1,2,7] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[4,6,5,3,2,1,7]=>[6,5,4,1,3,2,7] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[5,6,4,3,2,7,1]=>[7,5,4,3,1,2,6] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[4,5,3,2,1,6,7]=>[5,4,3,1,2,6,7] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[3,6,5,4,2,1,7]=>[6,5,1,4,3,2,7] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[3,5,4,2,1,6,7]=>[5,4,1,3,2,6,7] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[4,6,3,2,1,7,5]=>[5,4,3,1,7,2,6] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[3,6,4,2,1,5,7]=>[5,4,1,3,6,2,7] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[5,6,4,3,7,2,1]=>[7,6,4,3,1,2,5] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[4,5,3,2,6,1,7]=>[6,4,3,1,2,5,7] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[3,5,4,2,6,1,7]=>[6,4,1,3,2,5,7] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>[7,4,3,1,2,5,6] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[3,4,2,1,5,6,7]=>[4,3,1,2,5,6,7] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[2,6,5,4,3,1,7]=>[6,1,5,4,3,2,7] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[2,5,4,3,1,6,7]=>[5,1,4,3,2,6,7] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[2,6,4,3,1,5,7]=>[5,1,4,3,6,2,7] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[2,5,4,3,6,1,7]=>[6,1,4,3,2,5,7] [[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[2,4,3,1,5,6,7]=>[4,1,3,2,5,6,7] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[3,6,5,2,1,7,4]=>[5,4,1,7,3,2,6] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[3,5,2,1,6,7,4]=>[4,3,1,7,2,5,6] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[2,6,5,3,1,4,7]=>[5,1,4,6,3,2,7] [[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[2,5,3,1,4,6,7]=>[4,1,3,5,2,6,7] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[4,6,3,2,7,5,1]=>[7,4,3,1,6,2,5] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[3,4,2,1,6,5,7]=>[4,3,1,2,6,5,7] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[2,4,3,1,6,5,7]=>[4,1,3,2,6,5,7] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[3,4,2,1,6,7,5]=>[4,3,1,2,7,5,6] [[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[2,6,3,1,4,5,7]=>[4,1,3,5,6,2,7] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[5,6,4,7,3,2,1]=>[7,6,5,3,1,2,4] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[4,5,3,6,2,1,7]=>[6,5,3,1,2,4,7] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[3,5,4,6,2,1,7]=>[6,5,1,3,2,4,7] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>[7,5,3,1,2,4,6] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[3,4,2,5,1,6,7]=>[5,3,1,2,4,6,7] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[2,5,4,6,3,1,7]=>[6,1,5,3,2,4,7] [[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[2,4,3,5,1,6,7]=>[5,1,3,2,4,6,7] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[3,5,2,6,1,7,4]=>[5,3,1,7,2,4,6] [[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[2,5,3,4,1,6,7]=>[5,1,3,4,2,6,7] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[4,5,3,6,7,2,1]=>[7,6,3,1,2,4,5] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[3,4,2,5,6,1,7]=>[6,3,1,2,4,5,7] [[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[6,1,3,2,4,5,7] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[3,4,2,5,6,7,1]=>[7,3,1,2,4,5,6] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[1,6,4,3,2,5,7]=>[1,5,4,3,6,2,7] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[1,5,4,3,6,2,7]=>[1,6,4,3,2,5,7] [[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[1,6,5,3,2,4,7]=>[1,5,4,6,3,2,7] [[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[1,5,3,2,4,6,7]=>[1,4,3,5,2,6,7] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7] [[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[1,6,3,2,4,5,7]=>[1,4,3,5,6,2,7] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[1,5,4,6,3,2,7]=>[1,6,5,3,2,4,7] [[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[1,4,3,5,2,6,7]=>[1,5,3,2,4,6,7] [[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[1,5,3,4,2,6,7]=>[1,5,3,4,2,6,7] [[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[1,4,3,5,6,2,7]=>[1,6,3,2,4,5,7] [[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[2,6,5,4,1,7,3]=>[5,1,7,4,3,2,6] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[2,5,4,1,6,7,3]=>[4,1,7,3,2,5,6] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[2,6,4,1,5,7,3]=>[4,1,7,3,5,2,6] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[2,5,4,6,1,7,3]=>[5,1,7,3,2,4,6] [[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[2,4,1,5,6,7,3]=>[3,1,7,2,4,5,6] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[1,6,5,4,2,3,7]=>[1,5,6,4,3,2,7] [[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[1,5,4,2,3,6,7]=>[1,4,5,3,2,6,7] [[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[1,6,4,2,3,5,7]=>[1,4,5,3,6,2,7] [[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[1,5,2,4,3,6,7]=>[1,3,5,4,2,6,7] [[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[3,6,2,1,7,5,4]=>[4,3,1,7,6,2,5] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[3,5,2,6,7,4,1]=>[7,3,1,6,2,4,5] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[2,6,3,1,5,4,7]=>[4,1,3,6,5,2,7] [[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[2,3,1,5,6,4,7]=>[3,1,2,6,4,5,7] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7] [[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[1,3,2,5,6,4,7]=>[1,3,2,6,4,5,7] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[2,6,3,1,5,7,4]=>[4,1,3,7,5,2,6] [[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[2,3,1,5,6,7,4]=>[3,1,2,7,4,5,6] [[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[1,6,5,2,3,4,7]=>[1,4,5,6,3,2,7] [[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[4,6,3,7,5,2,1]=>[7,6,3,1,5,2,4] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[3,4,2,6,5,1,7]=>[6,3,1,2,5,4,7] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[2,4,3,6,5,1,7]=>[6,1,3,2,5,4,7] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[3,4,2,6,5,7,1]=>[7,3,1,2,5,4,6] [[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[2,3,1,6,4,5,7]=>[3,1,2,5,6,4,7] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[1,4,3,6,5,2,7]=>[1,6,3,2,5,4,7] [[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[2,4,1,6,3,7,5]=>[3,1,5,2,7,4,6] [[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[1,4,2,6,3,5,7]=>[1,3,5,2,6,4,7] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[3,4,2,6,7,5,1]=>[7,3,1,2,6,4,5] [[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[2,3,1,4,6,5,7]=>[3,1,2,4,6,5,7] [[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] [[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[2,3,1,4,6,7,5]=>[3,1,2,4,7,5,6] [[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[4,5,6,3,2,1,7]=>[6,5,4,1,2,3,7] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[3,5,6,4,2,1,7]=>[6,5,1,4,2,3,7] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[4,5,6,3,2,7,1]=>[7,5,4,1,2,3,6] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]=>[5,4,1,2,3,6,7] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[2,5,6,4,3,1,7]=>[6,1,5,4,2,3,7] [[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[2,4,5,3,1,6,7]=>[5,1,4,2,3,6,7] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[3,5,6,2,1,7,4]=>[5,4,1,7,2,3,6] [[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[2,3,5,4,1,6,7]=>[5,1,2,4,3,6,7] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>[7,6,4,1,2,3,5] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[3,4,5,2,6,1,7]=>[6,4,1,2,3,5,7] [[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[2,4,5,3,6,1,7]=>[6,1,4,2,3,5,7] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[3,4,5,2,6,7,1]=>[7,4,1,2,3,5,6] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[1,5,6,4,3,2,7]=>[1,6,5,4,2,3,7] [[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[1,4,5,3,2,6,7]=>[1,5,4,2,3,6,7] [[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[1,3,5,4,2,6,7]=>[1,5,2,4,3,6,7] [[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[1,4,5,3,6,2,7]=>[1,6,4,2,3,5,7] [[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[1,3,4,2,5,6,7]=>[1,4,2,3,5,6,7] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[2,5,6,4,1,7,3]=>[5,1,7,4,2,3,6] [[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[2,4,5,1,6,7,3]=>[4,1,7,2,3,5,6] [[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7] [[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[3,5,6,2,7,4,1]=>[7,4,1,6,2,3,5] [[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[2,3,5,1,6,4,7]=>[4,1,2,6,3,5,7] [[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[1,3,5,2,6,4,7]=>[1,4,2,6,3,5,7] [[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[2,3,5,1,6,7,4]=>[4,1,2,7,3,5,6] [[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[3,4,5,6,2,1,7]=>[6,5,1,2,3,4,7] [[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[2,4,5,6,3,1,7]=>[6,1,5,2,3,4,7] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[3,4,5,6,2,7,1]=>[7,5,1,2,3,4,6] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7] [[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[1,4,5,6,3,2,7]=>[1,6,5,2,3,4,7] [[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[1,3,4,5,2,6,7]=>[1,5,2,3,4,6,7] [[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[2,4,5,6,1,7,3]=>[5,1,7,2,3,4,6] [[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[1,2,4,5,3,6,7]=>[1,2,5,3,4,6,7] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7] [[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6] [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7] [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[8,7,6,5,2,1,4,3]=>[6,5,8,7,4,3,2,1] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[8,7,2,1,4,3,6,5]=>[4,3,6,5,8,7,2,1] [[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6] [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[6,5,8,7,4,3,2,1]=>[8,7,6,5,2,1,4,3] [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[4,3,6,5,8,7,2,1]=>[8,7,2,1,4,3,6,5] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7] [[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7] [[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8] [[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8] [[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
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
cactus evacuation
Description
The cactus evacuation of a permutation.
This is the involution obtained by applying evacuation to the recording tableau, while preserving the insertion tableau.
Map
inverse
Description
Sends a permutation to its inverse.