Identifier
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00241: Permutations —invert Laguerre heap⟶ Permutations
Mp00237: Permutations —descent views to invisible inversion bottoms⟶ Permutations
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]=>[2,3,1] [.,[[.,.],.]]=>[2,3,1]=>[3,1,2]=>[3,1,2] [[.,.],[.,.]]=>[1,3,2]=>[1,3,2]=>[1,3,2] [[.,[.,.]],.]=>[2,1,3]=>[2,1,3]=>[2,1,3] [[[.,.],.],.]=>[1,2,3]=>[1,2,3]=>[1,2,3] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1]=>[2,3,4,1] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[4,2,1,3]=>[2,4,1,3] [.,[[.,.],[.,.]]]=>[2,4,3,1]=>[4,3,1,2]=>[3,1,4,2] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[4,1,3,2]=>[4,3,1,2] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[4,1,2,3]=>[4,1,2,3] [[.,.],[.,[.,.]]]=>[1,4,3,2]=>[1,4,3,2]=>[1,3,4,2] [[.,.],[[.,.],.]]=>[1,3,4,2]=>[1,4,2,3]=>[1,4,2,3] [[.,[.,.]],[.,.]]=>[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3] [[[.,.],.],[.,.]]=>[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1,4]=>[2,3,1,4] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[3,1,2,4]=>[3,1,2,4] [[[.,.],[.,.]],.]=>[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4] [[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[5,3,2,1,4]=>[2,3,5,1,4] [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[5,4,2,1,3]=>[2,4,1,5,3] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[5,2,1,4,3]=>[2,5,4,1,3] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[5,2,1,3,4]=>[2,5,1,3,4] [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[5,4,3,1,2]=>[3,1,4,5,2] [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[5,3,1,2,4]=>[3,1,5,2,4] [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[5,4,1,3,2]=>[4,3,1,5,2] [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[5,4,1,2,3]=>[4,1,2,5,3] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[5,1,4,3,2]=>[5,3,4,1,2] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[5,1,4,2,3]=>[5,4,2,1,3] [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[5,1,2,4,3]=>[5,1,4,2,3] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[5,1,3,2,4]=>[5,3,1,2,4] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[5,1,2,3,4]=>[5,1,2,3,4] [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2] [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[1,5,3,2,4]=>[1,3,5,2,4] [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[1,5,4,2,3]=>[1,4,2,5,3] [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[1,5,2,4,3]=>[1,5,4,2,3] [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4] [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3] [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[2,1,5,3,4]=>[2,1,5,3,4] [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3] [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[1,2,5,3,4]=>[1,2,5,3,4] [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4] [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4] [[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4] [[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4] [[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[4,2,1,3,5]=>[2,4,1,3,5] [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[4,3,1,2,5]=>[3,1,4,2,5] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[4,1,3,2,5]=>[4,3,1,2,5] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[4,1,2,3,5]=>[4,1,2,3,5] [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[1,3,4,2,5] [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5] [[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5] [[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5] [[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5] [[[[[.,.],.],.],.],.]=>[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]=>[2,3,4,5,6,1] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[6,4,3,2,1,5]=>[2,3,4,6,1,5] [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[6,5,3,2,1,4]=>[2,3,5,1,6,4] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[6,3,2,1,5,4]=>[2,3,6,5,1,4] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[6,3,2,1,4,5]=>[2,3,6,1,4,5] [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[6,5,4,2,1,3]=>[2,4,1,5,6,3] [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[6,4,2,1,3,5]=>[2,4,1,6,3,5] [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[6,5,2,1,4,3]=>[2,5,4,1,6,3] [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[6,5,2,1,3,4]=>[2,5,1,3,6,4] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[6,2,1,5,4,3]=>[2,6,4,5,1,3] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[6,2,1,5,3,4]=>[2,6,5,3,1,4] [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[6,2,1,3,5,4]=>[2,6,1,5,3,4] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[6,2,1,4,3,5]=>[2,6,4,1,3,5] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5] [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2] [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[6,4,3,1,2,5]=>[3,1,4,6,2,5] [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[6,5,3,1,2,4]=>[3,1,5,2,6,4] [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[6,3,1,2,5,4]=>[3,1,6,5,2,4] [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5] [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[6,5,4,1,3,2]=>[4,3,1,5,6,2] [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[6,4,1,3,2,5]=>[4,3,1,6,2,5] [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3] [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5] [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[6,5,1,4,3,2]=>[5,3,4,1,6,2] [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[6,5,1,4,2,3]=>[5,4,2,1,6,3] [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[6,5,1,2,4,3]=>[5,1,4,2,6,3] [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[6,5,1,3,2,4]=>[5,3,1,2,6,4] [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[6,1,5,4,3,2]=>[6,3,4,5,1,2] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[6,1,5,3,2,4]=>[6,3,5,2,1,4] [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[6,1,5,4,2,3]=>[6,4,2,5,1,3] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[6,1,5,2,4,3]=>[6,5,4,2,1,3] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[6,1,5,2,3,4]=>[6,5,2,3,1,4] [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[6,1,2,5,4,3]=>[6,1,4,5,2,3] [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[6,1,2,5,3,4]=>[6,1,5,3,2,4] [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[6,1,3,2,5,4]=>[6,3,1,5,2,4] [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[6,1,2,3,5,4]=>[6,1,2,5,3,4] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[6,1,4,3,2,5]=>[6,3,4,1,2,5] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[6,1,4,2,3,5]=>[6,4,2,1,3,5] [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[6,1,2,4,3,5]=>[6,1,4,2,3,5] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[6,1,3,2,4,5]=>[6,3,1,2,4,5] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5] [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2] [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[1,6,4,3,2,5]=>[1,3,4,6,2,5] [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[1,6,5,3,2,4]=>[1,3,5,2,6,4] [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[1,6,3,2,5,4]=>[1,3,6,5,2,4] [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[1,6,3,2,4,5]=>[1,3,6,2,4,5] [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[1,6,5,4,2,3]=>[1,4,2,5,6,3] [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[1,6,4,2,3,5]=>[1,4,2,6,3,5] [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[1,6,5,2,4,3]=>[1,5,4,2,6,3] [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[1,6,5,2,3,4]=>[1,5,2,3,6,4] [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[1,6,2,5,4,3]=>[1,6,4,5,2,3] [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[1,6,2,5,3,4]=>[1,6,5,3,2,4] [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[1,6,2,3,5,4]=>[1,6,2,5,3,4] [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[1,6,2,4,3,5]=>[1,6,4,2,3,5] [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5] [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,4,5,6,3] [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[2,1,6,4,3,5]=>[2,1,4,6,3,5] [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[2,1,6,5,3,4]=>[2,1,5,3,6,4] [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[2,1,6,3,5,4]=>[2,1,6,5,3,4] [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[2,1,6,3,4,5]=>[2,1,6,3,4,5] [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3] [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[1,2,6,4,3,5]=>[1,2,4,6,3,5] [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[1,2,6,5,3,4]=>[1,2,5,3,6,4] [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[1,2,6,3,5,4]=>[1,2,6,5,3,4] [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5] [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4] [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[3,2,1,6,4,5]=>[2,3,1,6,4,5] [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[3,1,2,6,5,4]=>[3,1,2,5,6,4] [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[3,1,2,6,4,5]=>[3,1,2,6,4,5] [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4] [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5] [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4] [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[2,1,3,6,4,5]=>[2,1,3,6,4,5] [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4] [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5] [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[2,3,4,1,6,5] [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[4,2,1,3,6,5]=>[2,4,1,3,6,5] [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[4,3,1,2,6,5]=>[3,1,4,2,6,5] [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[4,1,3,2,6,5]=>[4,3,1,2,6,5] [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[4,1,2,3,6,5]=>[4,1,2,3,6,5] [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5] [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5] [[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5] [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[3,1,2,4,6,5]=>[3,1,2,4,6,5] [[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[5,3,2,1,4,6]=>[2,3,5,1,4,6] [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[5,4,2,1,3,6]=>[2,4,1,5,3,6] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[5,2,1,4,3,6]=>[2,5,4,1,3,6] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6] [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[5,4,3,1,2,6]=>[3,1,4,5,2,6] [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6] [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[5,4,1,3,2,6]=>[4,3,1,5,2,6] [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[5,1,4,3,2,6]=>[5,3,4,1,2,6] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[5,1,4,2,3,6]=>[5,4,2,1,3,6] [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[5,1,2,4,3,6]=>[5,1,4,2,3,6] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[5,1,3,2,4,6]=>[5,3,1,2,4,6] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6] [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6] [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[1,5,3,2,4,6]=>[1,3,5,2,4,6] [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[1,5,4,2,3,6]=>[1,4,2,5,3,6] [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[1,5,2,4,3,6]=>[1,5,4,2,3,6] [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6] [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[2,1,4,5,3,6] [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[2,1,5,3,4,6]=>[2,1,5,3,4,6] [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6] [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6] [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[2,3,1,5,4,6] [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[3,1,2,5,4,6]=>[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]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6] [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[4,1,3,2,5,6]=>[4,3,1,2,5,6] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6] [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6] [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6] [[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6] [[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6] [[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [[[[[[.,.],.],.],.],.],.]=>[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]=>[2,3,4,5,6,7,1] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[7,5,4,3,2,1,6]=>[2,3,4,5,7,1,6] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[7,6,4,3,2,1,5]=>[2,3,4,6,1,7,5] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[7,4,3,2,1,6,5]=>[2,3,4,7,6,1,5] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[7,6,5,3,2,1,4]=>[2,3,5,1,6,7,4] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[7,5,3,2,1,4,6]=>[2,3,5,1,7,4,6] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[7,6,3,2,1,5,4]=>[2,3,6,5,1,7,4] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[7,6,3,2,1,4,5]=>[2,3,6,1,4,7,5] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[7,3,2,1,6,5,4]=>[2,3,7,5,6,1,4] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[7,3,2,1,6,4,5]=>[2,3,7,6,4,1,5] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[7,3,2,1,4,6,5]=>[2,3,7,1,6,4,5] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[7,3,2,1,5,4,6]=>[2,3,7,5,1,4,6] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[7,3,2,1,4,5,6]=>[2,3,7,1,4,5,6] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[7,6,5,4,2,1,3]=>[2,4,1,5,6,7,3] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[7,5,4,2,1,3,6]=>[2,4,1,5,7,3,6] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[7,6,4,2,1,3,5]=>[2,4,1,6,3,7,5] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[7,4,2,1,3,6,5]=>[2,4,1,7,6,3,5] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[7,6,5,2,1,4,3]=>[2,5,4,1,6,7,3] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[7,5,2,1,4,3,6]=>[2,5,4,1,7,3,6] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[7,6,5,2,1,3,4]=>[2,5,1,3,6,7,4] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[7,5,2,1,3,4,6]=>[2,5,1,3,7,4,6] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[7,6,2,1,5,4,3]=>[2,6,4,5,1,7,3] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[7,6,2,1,5,3,4]=>[2,6,5,3,1,7,4] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[7,6,2,1,3,5,4]=>[2,6,1,5,3,7,4] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[7,6,2,1,4,3,5]=>[2,6,4,1,3,7,5] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[7,6,2,1,3,4,5]=>[2,6,1,3,4,7,5] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[7,2,1,6,5,4,3]=>[2,7,4,5,6,1,3] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[7,2,1,6,4,3,5]=>[2,7,4,6,3,1,5] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[7,2,1,6,5,3,4]=>[2,7,5,3,6,1,4] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[7,2,1,6,3,5,4]=>[2,7,6,5,3,1,4] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[7,2,1,6,3,4,5]=>[2,7,6,3,4,1,5] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[7,2,1,3,6,5,4]=>[2,7,1,5,6,3,4] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[7,2,1,3,6,4,5]=>[2,7,1,6,4,3,5] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[7,2,1,4,3,6,5]=>[2,7,4,1,6,3,5] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[7,2,1,3,4,6,5]=>[2,7,1,3,6,4,5] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[7,2,1,5,4,3,6]=>[2,7,4,5,1,3,6] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[7,2,1,5,3,4,6]=>[2,7,5,3,1,4,6] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[7,2,1,3,5,4,6]=>[2,7,1,5,3,4,6] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[7,2,1,4,3,5,6]=>[2,7,4,1,3,5,6] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[7,2,1,3,4,5,6]=>[2,7,1,3,4,5,6] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[7,5,4,3,1,2,6]=>[3,1,4,5,7,2,6] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[7,6,4,3,1,2,5]=>[3,1,4,6,2,7,5] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[7,4,3,1,2,6,5]=>[3,1,4,7,6,2,5] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[7,4,3,1,2,5,6]=>[3,1,4,7,2,5,6] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[7,6,5,3,1,2,4]=>[3,1,5,2,6,7,4] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[7,5,3,1,2,4,6]=>[3,1,5,2,7,4,6] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[7,6,3,1,2,5,4]=>[3,1,6,5,2,7,4] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[7,6,3,1,2,4,5]=>[3,1,6,2,4,7,5] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[7,3,1,2,6,5,4]=>[3,1,7,5,6,2,4] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[7,3,1,2,6,4,5]=>[3,1,7,6,4,2,5] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[7,3,1,2,4,6,5]=>[3,1,7,2,6,4,5] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[7,3,1,2,5,4,6]=>[3,1,7,5,2,4,6] [.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[7,3,1,2,4,5,6]=>[3,1,7,2,4,5,6] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[7,6,5,4,1,3,2]=>[4,3,1,5,6,7,2] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[7,5,4,1,3,2,6]=>[4,3,1,5,7,2,6] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[7,6,4,1,3,2,5]=>[4,3,1,6,2,7,5] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[7,4,1,3,2,6,5]=>[4,3,1,7,6,2,5] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[7,4,1,3,2,5,6]=>[4,3,1,7,2,5,6] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[7,6,5,4,1,2,3]=>[4,1,2,5,6,7,3] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[7,5,4,1,2,3,6]=>[4,1,2,5,7,3,6] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[7,6,4,1,2,3,5]=>[4,1,2,6,3,7,5] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[7,4,1,2,3,6,5]=>[4,1,2,7,6,3,5] [.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[7,4,1,2,3,5,6]=>[4,1,2,7,3,5,6] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[7,6,5,1,4,3,2]=>[5,3,4,1,6,7,2] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[7,5,1,4,3,2,6]=>[5,3,4,1,7,2,6] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[7,6,5,1,4,2,3]=>[5,4,2,1,6,7,3] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[7,5,1,4,2,3,6]=>[5,4,2,1,7,3,6] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[7,6,5,1,2,4,3]=>[5,1,4,2,6,7,3] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[7,5,1,2,4,3,6]=>[5,1,4,2,7,3,6] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[7,6,5,1,3,2,4]=>[5,3,1,2,6,7,4] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[7,5,1,3,2,4,6]=>[5,3,1,2,7,4,6] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4] [.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[7,6,1,5,4,3,2]=>[6,3,4,5,1,7,2] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[7,6,1,5,3,2,4]=>[6,3,5,2,1,7,4] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[7,6,1,5,4,2,3]=>[6,4,2,5,1,7,3] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[7,6,1,5,2,4,3]=>[6,5,4,2,1,7,3] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[7,6,1,5,2,3,4]=>[6,5,2,3,1,7,4] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[7,6,1,2,5,4,3]=>[6,1,4,5,2,7,3] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[7,6,1,2,5,3,4]=>[6,1,5,3,2,7,4] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[7,6,1,3,2,5,4]=>[6,3,1,5,2,7,4] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[7,6,1,2,3,5,4]=>[6,1,2,5,3,7,4] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[7,6,1,4,3,2,5]=>[6,3,4,1,2,7,5] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[7,6,1,4,2,3,5]=>[6,4,2,1,3,7,5] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[7,6,1,2,4,3,5]=>[6,1,4,2,3,7,5] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[7,6,1,3,2,4,5]=>[6,3,1,2,4,7,5] [.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[7,1,6,5,4,3,2]=>[7,3,4,5,6,1,2] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[7,1,6,4,3,2,5]=>[7,3,4,6,2,1,5] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[7,1,6,5,3,2,4]=>[7,3,5,2,6,1,4] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[7,1,6,3,2,5,4]=>[7,3,6,5,2,1,4] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[7,1,6,3,2,4,5]=>[7,3,6,2,4,1,5] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[7,1,6,5,4,2,3]=>[7,4,2,5,6,1,3] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[7,1,6,4,2,3,5]=>[7,4,2,6,3,1,5] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[7,1,6,5,2,4,3]=>[7,5,4,2,6,1,3] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[7,1,6,5,2,3,4]=>[7,5,2,3,6,1,4] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[7,1,6,2,5,4,3]=>[7,6,4,5,2,1,3] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[7,1,6,2,5,3,4]=>[7,6,5,3,2,1,4] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[7,1,6,2,3,5,4]=>[7,6,2,5,3,1,4] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[7,1,6,2,4,3,5]=>[7,6,4,2,3,1,5] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[7,1,6,2,3,4,5]=>[7,6,2,3,4,1,5] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[7,1,2,6,5,4,3]=>[7,1,4,5,6,2,3] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[7,1,2,6,4,3,5]=>[7,1,4,6,3,2,5] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[7,1,2,6,5,3,4]=>[7,1,5,3,6,2,4] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[7,1,2,6,3,5,4]=>[7,1,6,5,3,2,4] [.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[7,1,2,6,3,4,5]=>[7,1,6,3,4,2,5] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[7,1,3,2,6,5,4]=>[7,3,1,5,6,2,4] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[7,1,3,2,6,4,5]=>[7,3,1,6,4,2,5] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[7,1,2,3,6,5,4]=>[7,1,2,5,6,3,4] [.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[7,1,2,3,6,4,5]=>[7,1,2,6,4,3,5] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[7,1,4,3,2,6,5]=>[7,3,4,1,6,2,5] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[7,1,4,2,3,6,5]=>[7,4,2,1,6,3,5] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[7,1,2,4,3,6,5]=>[7,1,4,2,6,3,5] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[7,1,3,2,4,6,5]=>[7,3,1,2,6,4,5] [.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[7,1,2,3,4,6,5]=>[7,1,2,3,6,4,5] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[7,1,5,4,3,2,6]=>[7,3,4,5,1,2,6] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[7,1,5,3,2,4,6]=>[7,3,5,2,1,4,6] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[7,1,5,4,2,3,6]=>[7,4,2,5,1,3,6] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[7,1,5,2,4,3,6]=>[7,5,4,2,1,3,6] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[7,1,5,2,3,4,6]=>[7,5,2,3,1,4,6] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[7,1,2,5,4,3,6]=>[7,1,4,5,2,3,6] [.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[7,1,2,5,3,4,6]=>[7,1,5,3,2,4,6] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[7,1,3,2,5,4,6]=>[7,3,1,5,2,4,6] [.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[7,1,2,3,5,4,6]=>[7,1,2,5,3,4,6] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[7,1,4,3,2,5,6]=>[7,3,4,1,2,5,6] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[7,1,4,2,3,5,6]=>[7,4,2,1,3,5,6] [.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[7,1,2,4,3,5,6]=>[7,1,4,2,3,5,6] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[7,1,3,2,4,5,6]=>[7,3,1,2,4,5,6] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[1,7,5,4,3,2,6]=>[1,3,4,5,7,2,6] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[1,7,6,4,3,2,5]=>[1,3,4,6,2,7,5] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[1,7,4,3,2,6,5]=>[1,3,4,7,6,2,5] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[1,7,4,3,2,5,6]=>[1,3,4,7,2,5,6] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[1,7,6,5,3,2,4]=>[1,3,5,2,6,7,4] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[1,7,5,3,2,4,6]=>[1,3,5,2,7,4,6] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[1,7,6,3,2,5,4]=>[1,3,6,5,2,7,4] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[1,7,6,3,2,4,5]=>[1,3,6,2,4,7,5] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[1,7,3,2,6,5,4]=>[1,3,7,5,6,2,4] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[1,7,3,2,6,4,5]=>[1,3,7,6,4,2,5] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[1,7,3,2,4,6,5]=>[1,3,7,2,6,4,5] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[1,7,3,2,5,4,6]=>[1,3,7,5,2,4,6] [[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[1,7,3,2,4,5,6]=>[1,3,7,2,4,5,6] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[1,7,6,5,4,2,3]=>[1,4,2,5,6,7,3] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[1,7,5,4,2,3,6]=>[1,4,2,5,7,3,6] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[1,7,6,4,2,3,5]=>[1,4,2,6,3,7,5] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[1,7,4,2,3,6,5]=>[1,4,2,7,6,3,5] [[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[1,7,4,2,3,5,6]=>[1,4,2,7,3,5,6] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[1,7,6,5,2,4,3]=>[1,5,4,2,6,7,3] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[1,7,5,2,4,3,6]=>[1,5,4,2,7,3,6] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[1,7,6,5,2,3,4]=>[1,5,2,3,6,7,4] [[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[1,7,5,2,3,4,6]=>[1,5,2,3,7,4,6] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[1,7,6,2,5,4,3]=>[1,6,4,5,2,7,3] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[1,7,6,2,5,3,4]=>[1,6,5,3,2,7,4] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[1,7,6,2,3,5,4]=>[1,6,2,5,3,7,4] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[1,7,6,2,4,3,5]=>[1,6,4,2,3,7,5] [[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[1,7,6,2,3,4,5]=>[1,6,2,3,4,7,5] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[1,7,2,6,5,4,3]=>[1,7,4,5,6,2,3] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[1,7,2,6,4,3,5]=>[1,7,4,6,3,2,5] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[1,7,2,6,5,3,4]=>[1,7,5,3,6,2,4] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[1,7,2,6,3,5,4]=>[1,7,6,5,3,2,4] [[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[1,7,2,6,3,4,5]=>[1,7,6,3,4,2,5] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[1,7,2,3,6,5,4]=>[1,7,2,5,6,3,4] [[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[1,7,2,3,6,4,5]=>[1,7,2,6,4,3,5] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[1,7,2,4,3,6,5]=>[1,7,4,2,6,3,5] [[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,6,4,5] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[1,7,2,5,4,3,6]=>[1,7,4,5,2,3,6] [[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[1,7,2,5,3,4,6]=>[1,7,5,3,2,4,6] [[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,5,3,4,6] [[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[1,7,2,4,3,5,6]=>[1,7,4,2,3,5,6] [[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[2,1,7,5,4,3,6]=>[2,1,4,5,7,3,6] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[2,1,7,6,4,3,5]=>[2,1,4,6,3,7,5] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[2,1,7,4,3,6,5]=>[2,1,4,7,6,3,5] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[2,1,7,4,3,5,6]=>[2,1,4,7,3,5,6] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[2,1,7,6,5,3,4]=>[2,1,5,3,6,7,4] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[2,1,7,5,3,4,6]=>[2,1,5,3,7,4,6] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[2,1,7,6,3,5,4]=>[2,1,6,5,3,7,4] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[2,1,7,6,3,4,5]=>[2,1,6,3,4,7,5] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[2,1,7,3,6,5,4]=>[2,1,7,5,6,3,4] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[2,1,7,3,6,4,5]=>[2,1,7,6,4,3,5] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[2,1,7,3,4,6,5]=>[2,1,7,3,6,4,5] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[2,1,7,3,5,4,6]=>[2,1,7,5,3,4,6] [[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>[1,2,4,5,6,7,3] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[1,2,7,5,4,3,6]=>[1,2,4,5,7,3,6] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[1,2,7,6,4,3,5]=>[1,2,4,6,3,7,5] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[1,2,7,4,3,6,5]=>[1,2,4,7,6,3,5] [[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[1,2,7,4,3,5,6]=>[1,2,4,7,3,5,6] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[1,2,7,6,5,3,4]=>[1,2,5,3,6,7,4] [[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[1,2,7,5,3,4,6]=>[1,2,5,3,7,4,6] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[1,2,7,6,3,5,4]=>[1,2,6,5,3,7,4] [[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[1,2,7,6,3,4,5]=>[1,2,6,3,4,7,5] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[1,2,7,3,6,5,4]=>[1,2,7,5,6,3,4] [[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[1,2,7,3,6,4,5]=>[1,2,7,6,4,3,5] [[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,6,4,5] [[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[1,2,7,3,5,4,6]=>[1,2,7,5,3,4,6] [[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[3,2,1,7,5,4,6]=>[2,3,1,5,7,4,6] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[3,2,1,7,6,4,5]=>[2,3,1,6,4,7,5] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[3,2,1,7,4,6,5]=>[2,3,1,7,6,4,5] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[3,2,1,7,4,5,6]=>[2,3,1,7,4,5,6] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[3,1,2,7,6,5,4]=>[3,1,2,5,6,7,4] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[3,1,2,7,5,4,6]=>[3,1,2,5,7,4,6] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[3,1,2,7,6,4,5]=>[3,1,2,6,4,7,5] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[3,1,2,7,4,6,5]=>[3,1,2,7,6,4,5] [[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[3,1,2,7,4,5,6]=>[3,1,2,7,4,5,6] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[1,3,2,7,5,4,6]=>[1,3,2,5,7,4,6] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,7,5] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[1,3,2,7,4,6,5]=>[1,3,2,7,6,4,5] [[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>[2,1,3,5,6,7,4] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[2,1,3,7,5,4,6]=>[2,1,3,5,7,4,6] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[2,1,3,7,6,4,5]=>[2,1,3,6,4,7,5] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[2,1,3,7,4,6,5]=>[2,1,3,7,6,4,5] [[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4] [[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[1,2,3,7,5,4,6]=>[1,2,3,5,7,4,6] [[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[1,2,3,7,6,4,5]=>[1,2,3,6,4,7,5] [[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[1,2,3,7,4,6,5]=>[1,2,3,7,6,4,5] [[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[4,3,2,1,7,5,6]=>[2,3,4,1,7,5,6] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[4,2,1,3,7,6,5]=>[2,4,1,3,6,7,5] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[4,2,1,3,7,5,6]=>[2,4,1,3,7,5,6] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[4,3,1,2,7,6,5]=>[3,1,4,2,6,7,5] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[4,3,1,2,7,5,6]=>[3,1,4,2,7,5,6] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[4,1,3,2,7,6,5]=>[4,3,1,2,6,7,5] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[4,1,3,2,7,5,6]=>[4,3,1,2,7,5,6] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[4,1,2,3,7,6,5]=>[4,1,2,3,6,7,5] [[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[4,1,2,3,7,5,6]=>[4,1,2,3,7,5,6] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[1,4,3,2,7,5,6]=>[1,3,4,2,7,5,6] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[1,4,2,3,7,6,5]=>[1,4,2,3,6,7,5] [[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5] [[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[3,2,1,4,7,5,6]=>[2,3,1,4,7,5,6] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[3,1,2,4,7,6,5]=>[3,1,2,4,6,7,5] [[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5] [[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5] [[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6] [[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5] [[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[5,3,2,1,4,7,6]=>[2,3,5,1,4,7,6] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[5,4,2,1,3,7,6]=>[2,4,1,5,3,7,6] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[5,2,1,4,3,7,6]=>[2,5,4,1,3,7,6] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[5,2,1,3,4,7,6]=>[2,5,1,3,4,7,6] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[5,4,3,1,2,7,6]=>[3,1,4,5,2,7,6] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[5,3,1,2,4,7,6]=>[3,1,5,2,4,7,6] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[5,4,1,3,2,7,6]=>[4,3,1,5,2,7,6] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[5,4,1,2,3,7,6]=>[4,1,2,5,3,7,6] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[5,1,4,3,2,7,6]=>[5,3,4,1,2,7,6] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[5,1,4,2,3,7,6]=>[5,4,2,1,3,7,6] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[5,1,2,4,3,7,6]=>[5,1,4,2,3,7,6] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[5,1,3,2,4,7,6]=>[5,3,1,2,4,7,6] [[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,3,4,5,2,7,6] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[1,5,3,2,4,7,6]=>[1,3,5,2,4,7,6] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[1,5,4,2,3,7,6]=>[1,4,2,5,3,7,6] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[1,5,2,4,3,7,6]=>[1,5,4,2,3,7,6] [[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,4,5,3,7,6] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>[1,2,4,5,3,7,6] [[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[3,1,2,5,4,7,6]=>[3,1,2,5,4,7,6] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[4,2,1,3,5,7,6]=>[2,4,1,3,5,7,6] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[4,3,1,2,5,7,6]=>[3,1,4,2,5,7,6] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[4,1,3,2,5,7,6]=>[4,3,1,2,5,7,6] [[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>[1,3,4,2,5,7,6] [[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[2,3,1,4,5,7,6] [[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6] [[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [[[[[.,[.,.]],.],.],.],[.,.]]=>[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]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[6,4,3,2,1,5,7]=>[2,3,4,6,1,5,7] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[6,5,3,2,1,4,7]=>[2,3,5,1,6,4,7] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[6,3,2,1,5,4,7]=>[2,3,6,5,1,4,7] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[6,3,2,1,4,5,7]=>[2,3,6,1,4,5,7] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[6,5,4,2,1,3,7]=>[2,4,1,5,6,3,7] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[6,4,2,1,3,5,7]=>[2,4,1,6,3,5,7] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[6,5,2,1,4,3,7]=>[2,5,4,1,6,3,7] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[6,5,2,1,3,4,7]=>[2,5,1,3,6,4,7] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[6,2,1,5,4,3,7]=>[2,6,4,5,1,3,7] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[6,2,1,5,3,4,7]=>[2,6,5,3,1,4,7] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[6,2,1,3,5,4,7]=>[2,6,1,5,3,4,7] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[6,2,1,4,3,5,7]=>[2,6,4,1,3,5,7] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[6,2,1,3,4,5,7]=>[2,6,1,3,4,5,7] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[6,5,4,3,1,2,7]=>[3,1,4,5,6,2,7] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[6,4,3,1,2,5,7]=>[3,1,4,6,2,5,7] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[6,5,3,1,2,4,7]=>[3,1,5,2,6,4,7] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[6,3,1,2,5,4,7]=>[3,1,6,5,2,4,7] [[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[6,3,1,2,4,5,7]=>[3,1,6,2,4,5,7] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[6,5,4,1,3,2,7]=>[4,3,1,5,6,2,7] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[6,4,1,3,2,5,7]=>[4,3,1,6,2,5,7] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[6,5,4,1,2,3,7]=>[4,1,2,5,6,3,7] [[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[6,4,1,2,3,5,7]=>[4,1,2,6,3,5,7] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[6,5,1,4,3,2,7]=>[5,3,4,1,6,2,7] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[6,5,1,4,2,3,7]=>[5,4,2,1,6,3,7] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[6,5,1,2,4,3,7]=>[5,1,4,2,6,3,7] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[6,5,1,3,2,4,7]=>[5,3,1,2,6,4,7] [[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[6,1,5,4,3,2,7]=>[6,3,4,5,1,2,7] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[6,1,5,3,2,4,7]=>[6,3,5,2,1,4,7] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[6,1,5,4,2,3,7]=>[6,4,2,5,1,3,7] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[6,1,5,2,4,3,7]=>[6,5,4,2,1,3,7] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[6,1,5,2,3,4,7]=>[6,5,2,3,1,4,7] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[6,1,2,5,4,3,7]=>[6,1,4,5,2,3,7] [[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[6,1,2,5,3,4,7]=>[6,1,5,3,2,4,7] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[6,1,3,2,5,4,7]=>[6,3,1,5,2,4,7] [[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[6,1,2,3,5,4,7]=>[6,1,2,5,3,4,7] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[6,1,4,3,2,5,7]=>[6,3,4,1,2,5,7] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[6,1,4,2,3,5,7]=>[6,4,2,1,3,5,7] [[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[6,1,2,4,3,5,7]=>[6,1,4,2,3,5,7] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[6,1,3,2,4,5,7]=>[6,3,1,2,4,5,7] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,3,4,5,6,2,7] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[1,6,4,3,2,5,7]=>[1,3,4,6,2,5,7] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[1,6,5,3,2,4,7]=>[1,3,5,2,6,4,7] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[1,6,3,2,5,4,7]=>[1,3,6,5,2,4,7] [[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[1,6,3,2,4,5,7]=>[1,3,6,2,4,5,7] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[1,6,5,4,2,3,7]=>[1,4,2,5,6,3,7] [[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[1,6,4,2,3,5,7]=>[1,4,2,6,3,5,7] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[1,6,5,2,4,3,7]=>[1,5,4,2,6,3,7] [[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[1,6,5,2,3,4,7]=>[1,5,2,3,6,4,7] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[1,6,2,5,4,3,7]=>[1,6,4,5,2,3,7] [[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[1,6,2,5,3,4,7]=>[1,6,5,3,2,4,7] [[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[1,6,2,3,5,4,7]=>[1,6,2,5,3,4,7] [[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[1,6,2,4,3,5,7]=>[1,6,4,2,3,5,7] [[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[2,1,4,5,6,3,7] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[2,1,6,4,3,5,7]=>[2,1,4,6,3,5,7] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[2,1,6,5,3,4,7]=>[2,1,5,3,6,4,7] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[2,1,6,3,5,4,7]=>[2,1,6,5,3,4,7] [[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[1,2,4,5,6,3,7] [[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[1,2,6,4,3,5,7]=>[1,2,4,6,3,5,7] [[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[1,2,6,5,3,4,7]=>[1,2,5,3,6,4,7] [[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[1,2,6,3,5,4,7]=>[1,2,6,5,3,4,7] [[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[2,3,1,5,6,4,7] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[3,2,1,6,4,5,7]=>[2,3,1,6,4,5,7] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[3,1,2,6,5,4,7]=>[3,1,2,5,6,4,7] [[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,3,2,5,6,4,7] [[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[2,1,3,5,6,4,7] [[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7] [[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>[1,2,3,5,6,4,7] [[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[2,3,4,1,6,5,7] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[4,2,1,3,6,5,7]=>[2,4,1,3,6,5,7] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[4,3,1,2,6,5,7]=>[3,1,4,2,6,5,7] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[4,1,3,2,6,5,7]=>[4,3,1,2,6,5,7] [[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[4,1,2,3,6,5,7]=>[4,1,2,3,6,5,7] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,3,4,2,6,5,7] [[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7] [[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[2,3,1,4,6,5,7] [[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[3,1,2,4,6,5,7]=>[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]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7] [[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[5,3,2,1,4,6,7]=>[2,3,5,1,4,6,7] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[5,4,2,1,3,6,7]=>[2,4,1,5,3,6,7] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[5,2,1,4,3,6,7]=>[2,5,4,1,3,6,7] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[5,2,1,3,4,6,7]=>[2,5,1,3,4,6,7] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[5,4,3,1,2,6,7]=>[3,1,4,5,2,6,7] [[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[5,3,1,2,4,6,7]=>[3,1,5,2,4,6,7] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[5,4,1,3,2,6,7]=>[4,3,1,5,2,6,7] [[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[5,4,1,2,3,6,7]=>[4,1,2,5,3,6,7] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[5,1,4,3,2,6,7]=>[5,3,4,1,2,6,7] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[5,1,4,2,3,6,7]=>[5,4,2,1,3,6,7] [[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[5,1,2,4,3,6,7]=>[5,1,4,2,3,6,7] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[5,1,3,2,4,6,7]=>[5,3,1,2,4,6,7] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[1,3,4,5,2,6,7] [[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[1,5,3,2,4,6,7]=>[1,3,5,2,4,6,7] [[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[1,5,4,2,3,6,7]=>[1,4,2,5,3,6,7] [[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[1,5,2,4,3,6,7]=>[1,5,4,2,3,6,7] [[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7] [[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7] [[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,4,5,3,6,7] [[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[2,3,1,5,4,6,7] [[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[3,1,2,5,4,6,7]=>[3,1,2,5,4,6,7] [[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7] [[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7] [[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7] [[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[4,3,1,2,5,6,7]=>[3,1,4,2,5,6,7] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[4,1,3,2,5,6,7]=>[4,3,1,2,5,6,7] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7] [[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,3,4,2,5,6,7] [[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7] [[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7] [[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7] [[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [[[[[[[.,.],.],.],.],.],.],.]=>[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]=>[2,3,4,5,6,7,8,1] [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[5,8,7,6,4,3,2,1]=>[8,7,6,4,3,2,1,5]=>[2,3,4,6,1,7,8,5] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[8,4,3,2,1,5,6,7]=>[2,3,4,8,1,5,6,7] [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[4,8,7,6,5,3,2,1]=>[8,7,6,5,3,2,1,4]=>[2,3,5,1,6,7,8,4] [.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[8,3,2,1,4,5,6,7]=>[2,3,8,1,4,5,6,7] [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>[8,4,2,1,3,5,6,7]=>[2,4,1,8,3,5,6,7] [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[3,4,8,7,6,5,2,1]=>[8,7,6,5,2,1,3,4]=>[2,5,1,3,6,7,8,4] [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[8,2,1,7,3,5,4,6]=>[2,8,7,5,3,4,1,6] [.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[8,2,1,7,3,4,5,6]=>[2,8,7,3,4,5,1,6] [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[2,4,8,7,6,5,3,1]=>[8,7,6,5,3,1,2,4]=>[3,1,5,2,6,7,8,4] [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[2,7,6,5,4,8,3,1]=>[8,3,1,2,7,6,5,4]=>[3,1,8,5,6,7,2,4] [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[4,3,2,8,7,6,5,1]=>[8,7,6,5,1,4,3,2]=>[5,3,4,1,6,7,8,2] [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[3,4,2,8,7,6,5,1]=>[8,7,6,5,1,4,2,3]=>[5,4,2,1,6,7,8,3] [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[2,4,3,8,7,6,5,1]=>[8,7,6,5,1,2,4,3]=>[5,1,4,2,6,7,8,3] [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[3,2,4,8,7,6,5,1]=>[8,7,6,5,1,3,2,4]=>[5,3,1,2,6,7,8,4] [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[2,3,4,8,7,6,5,1]=>[8,7,6,5,1,2,3,4]=>[5,1,2,3,6,7,8,4] [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[5,4,3,2,8,7,6,1]=>[8,7,6,1,5,4,3,2]=>[6,3,4,5,1,7,8,2] [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[5,4,3,2,7,8,6,1]=>[8,6,1,5,4,3,2,7]=>[6,3,4,5,1,8,2,7] [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[2,5,4,3,8,7,6,1]=>[8,7,6,1,2,5,4,3]=>[6,1,4,5,2,7,8,3] [.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[2,5,4,3,7,8,6,1]=>[8,6,1,2,5,4,3,7]=>[6,1,4,5,2,8,3,7] [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,1]=>[8,7,1,2,4,3,6,5]=>[7,1,4,2,6,3,8,5] [.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[2,5,4,3,6,8,7,1]=>[8,7,1,2,5,4,3,6]=>[7,1,4,5,2,3,8,6] [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[8,1,7,2,6,3,5,4]=>[8,7,6,5,3,2,1,4] [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[4,3,2,7,6,5,8,1]=>[8,1,4,3,2,7,6,5]=>[8,3,4,1,6,7,2,5] [.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[3,4,2,7,6,5,8,1]=>[8,1,4,2,3,7,6,5]=>[8,4,2,1,6,7,3,5] [.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[2,4,3,7,6,5,8,1]=>[8,1,2,4,3,7,6,5]=>[8,1,4,2,6,7,3,5] [.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[3,2,4,7,6,5,8,1]=>[8,1,3,2,4,7,6,5]=>[8,3,1,2,6,7,4,5] [.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[2,3,4,7,6,5,8,1]=>[8,1,2,3,4,7,6,5]=>[8,1,2,3,6,7,4,5] [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[5,4,3,2,7,6,8,1]=>[8,1,5,4,3,2,7,6]=>[8,3,4,5,1,7,2,6] [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[8,1,5,4,3,2,6,7]=>[8,3,4,5,1,2,6,7] [.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[2,5,4,3,6,7,8,1]=>[8,1,2,5,4,3,6,7]=>[8,1,4,5,2,3,6,7] [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[1,7,6,5,8,4,3,2]=>[1,8,4,3,2,7,6,5]=>[1,3,4,8,6,7,2,5] [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[1,5,6,7,8,4,3,2]=>[1,8,4,3,2,5,6,7]=>[1,3,4,8,2,5,6,7] [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>[1,8,6,4,2,3,5,7]=>[1,4,2,6,3,8,5,7] [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[1,3,6,5,7,8,4,2]=>[1,8,4,2,3,6,5,7]=>[1,4,2,8,6,3,5,7] [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[1,3,5,6,7,8,4,2]=>[1,8,4,2,3,5,6,7]=>[1,4,2,8,3,5,6,7] [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[1,8,7,6,5,2,4,3]=>[1,5,4,2,6,7,8,3] [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[1,3,4,8,7,6,5,2]=>[1,8,7,6,5,2,3,4]=>[1,5,2,3,6,7,8,4] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3]=>[2,1,4,5,6,7,8,3] [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[2,1,8,5,4,3,6,7]=>[2,1,4,5,8,3,6,7] [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[2,1,6,7,5,8,4,3]=>[2,1,8,4,3,7,5,6]=>[2,1,4,8,7,5,3,6] [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[2,1,4,8,7,6,5,3]=>[2,1,8,7,6,5,3,4]=>[2,1,5,3,6,7,8,4] [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[2,1,4,5,8,7,6,3]=>[2,1,8,7,6,3,4,5]=>[2,1,6,3,4,7,8,5] [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[2,1,4,6,5,8,7,3]=>[2,1,8,7,3,4,6,5]=>[2,1,7,3,6,4,8,5] [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[1,2,5,6,7,8,4,3]=>[1,2,8,4,3,5,6,7]=>[1,2,4,8,3,5,6,7] [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4]=>[2,3,1,5,6,7,8,4] [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[3,2,1,7,8,6,5,4]=>[3,2,1,8,6,5,4,7]=>[2,3,1,5,6,8,4,7] [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[3,2,1,6,8,7,5,4]=>[3,2,1,8,7,5,4,6]=>[2,3,1,5,7,4,8,6] [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[3,2,1,7,6,8,5,4]=>[3,2,1,8,5,4,7,6]=>[2,3,1,5,8,7,4,6] [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[3,2,1,6,7,8,5,4]=>[3,2,1,8,5,4,6,7]=>[2,3,1,5,8,4,6,7] [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[3,2,1,5,8,7,6,4]=>[3,2,1,8,7,6,4,5]=>[2,3,1,6,4,7,8,5] [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[3,2,1,5,7,8,6,4]=>[3,2,1,8,6,4,5,7]=>[2,3,1,6,4,8,5,7] [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[3,2,1,6,5,8,7,4]=>[3,2,1,8,7,4,6,5]=>[2,3,1,7,6,4,8,5] [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[3,2,1,5,6,8,7,4]=>[3,2,1,8,7,4,5,6]=>[2,3,1,7,4,5,8,6] [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[3,2,1,7,6,5,8,4]=>[3,2,1,8,4,7,6,5]=>[2,3,1,8,6,7,4,5] [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[3,2,1,6,7,5,8,4]=>[3,2,1,8,4,7,5,6]=>[2,3,1,8,7,5,4,6] [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[3,2,1,5,7,6,8,4]=>[3,2,1,8,4,5,7,6]=>[2,3,1,8,4,7,5,6] [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[3,2,1,6,5,7,8,4]=>[3,2,1,8,4,6,5,7]=>[2,3,1,8,6,4,5,7] [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[3,2,1,5,6,7,8,4]=>[3,2,1,8,4,5,6,7]=>[2,3,1,8,4,5,6,7] [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[2,3,1,8,7,6,5,4]=>[3,1,2,8,7,6,5,4]=>[3,1,2,5,6,7,8,4] [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[1,3,2,8,7,6,5,4]=>[1,3,2,8,7,6,5,4]=>[1,3,2,5,6,7,8,4] [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[2,1,3,8,7,6,5,4]=>[2,1,3,8,7,6,5,4]=>[2,1,3,5,6,7,8,4] [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,8,7,6,5,4]=>[1,2,3,8,7,6,5,4]=>[1,2,3,5,6,7,8,4] [[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[1,2,3,7,8,6,5,4]=>[1,2,3,8,6,5,4,7]=>[1,2,3,5,6,8,4,7] [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[1,2,3,6,8,7,5,4]=>[1,2,3,8,7,5,4,6]=>[1,2,3,5,7,4,8,6] [[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[1,2,3,7,6,8,5,4]=>[1,2,3,8,5,4,7,6]=>[1,2,3,5,8,7,4,6] [[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[1,2,3,6,7,8,5,4]=>[1,2,3,8,5,4,6,7]=>[1,2,3,5,8,4,6,7] [[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[1,2,3,5,8,7,6,4]=>[1,2,3,8,7,6,4,5]=>[1,2,3,6,4,7,8,5] [[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[1,2,3,5,7,8,6,4]=>[1,2,3,8,6,4,5,7]=>[1,2,3,6,4,8,5,7] [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[1,2,3,6,5,8,7,4]=>[1,2,3,8,7,4,6,5]=>[1,2,3,7,6,4,8,5] [[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[1,2,3,5,6,8,7,4]=>[1,2,3,8,7,4,5,6]=>[1,2,3,7,4,5,8,6] [[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[1,2,3,7,6,5,8,4]=>[1,2,3,8,4,7,6,5]=>[1,2,3,8,6,7,4,5] [[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[1,2,3,6,7,5,8,4]=>[1,2,3,8,4,7,5,6]=>[1,2,3,8,7,5,4,6] [[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[1,2,3,5,7,6,8,4]=>[1,2,3,8,4,5,7,6]=>[1,2,3,8,4,7,5,6] [[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,6,5,7,8,4]=>[1,2,3,8,4,6,5,7]=>[1,2,3,8,6,4,5,7] [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[1,2,3,8,4,5,6,7]=>[1,2,3,8,4,5,6,7] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[2,3,4,1,6,7,8,5] [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[4,3,2,1,7,8,6,5]=>[4,3,2,1,8,6,5,7]=>[2,3,4,1,6,8,5,7] [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[4,3,2,1,6,8,7,5]=>[4,3,2,1,8,7,5,6]=>[2,3,4,1,7,5,8,6] [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[4,3,2,1,7,6,8,5]=>[4,3,2,1,8,5,7,6]=>[2,3,4,1,8,7,5,6] [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[4,3,2,1,6,7,8,5]=>[4,3,2,1,8,5,6,7]=>[2,3,4,1,8,5,6,7] [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[3,4,2,1,8,7,6,5]=>[4,2,1,3,8,7,6,5]=>[2,4,1,3,6,7,8,5] [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[4,2,1,3,8,6,5,7]=>[2,4,1,3,6,8,5,7] [[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>[3,4,2,1,7,6,8,5]=>[4,2,1,3,8,5,7,6]=>[2,4,1,3,8,7,5,6] [[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[3,4,2,1,6,7,8,5]=>[4,2,1,3,8,5,6,7]=>[2,4,1,3,8,5,6,7] [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[2,4,3,1,8,7,6,5]=>[4,3,1,2,8,7,6,5]=>[3,1,4,2,6,7,8,5] [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[4,3,1,2,8,7,5,6]=>[3,1,4,2,7,5,8,6] [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[2,4,3,1,7,6,8,5]=>[4,3,1,2,8,5,7,6]=>[3,1,4,2,8,7,5,6] [[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[2,4,3,1,6,7,8,5]=>[4,3,1,2,8,5,6,7]=>[3,1,4,2,8,5,6,7] [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[3,2,4,1,8,7,6,5]=>[4,1,3,2,8,7,6,5]=>[4,3,1,2,6,7,8,5] [[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[3,2,4,1,7,8,6,5]=>[4,1,3,2,8,6,5,7]=>[4,3,1,2,6,8,5,7] [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5]=>[4,1,3,2,8,5,7,6]=>[4,3,1,2,8,7,5,6] [[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[3,2,4,1,6,7,8,5]=>[4,1,3,2,8,5,6,7]=>[4,3,1,2,8,5,6,7] [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[2,3,4,1,8,7,6,5]=>[4,1,2,3,8,7,6,5]=>[4,1,2,3,6,7,8,5] [[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[2,3,4,1,7,8,6,5]=>[4,1,2,3,8,6,5,7]=>[4,1,2,3,6,8,5,7] [[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[2,3,4,1,6,8,7,5]=>[4,1,2,3,8,7,5,6]=>[4,1,2,3,7,5,8,6] [[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[2,3,4,1,7,6,8,5]=>[4,1,2,3,8,5,7,6]=>[4,1,2,3,8,7,5,6] [[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[2,3,4,1,6,7,8,5]=>[4,1,2,3,8,5,6,7]=>[4,1,2,3,8,5,6,7] [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[1,4,3,2,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[1,3,4,2,6,7,8,5] [[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[1,4,3,2,6,7,8,5]=>[1,4,3,2,8,5,6,7]=>[1,3,4,2,8,5,6,7] [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[1,3,4,2,8,7,6,5]=>[1,4,2,3,8,7,6,5]=>[1,4,2,3,6,7,8,5] [[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[1,3,4,2,7,6,8,5]=>[1,4,2,3,8,5,7,6]=>[1,4,2,3,8,7,5,6] [[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[1,3,4,2,6,7,8,5]=>[1,4,2,3,8,5,6,7]=>[1,4,2,3,8,5,6,7] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,6,7,8,5] [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[2,1,4,3,8,6,5,7]=>[2,1,4,3,6,8,5,7] [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,8,7,5,6]=>[2,1,4,3,7,5,8,6] [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,8,5,7,6]=>[2,1,4,3,8,7,5,6] [[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,8,5,6,7]=>[2,1,4,3,8,5,6,7] [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,6,7,8,5] [[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,8,5,7,6]=>[1,2,4,3,8,7,5,6] [[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,8,5,6,7]=>[1,2,4,3,8,5,6,7] [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[3,2,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[2,3,1,4,6,7,8,5] [[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[3,2,1,4,7,8,6,5]=>[3,2,1,4,8,6,5,7]=>[2,3,1,4,6,8,5,7] [[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[3,2,1,4,7,6,8,5]=>[3,2,1,4,8,5,7,6]=>[2,3,1,4,8,7,5,6] [[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[3,2,1,4,6,7,8,5]=>[3,2,1,4,8,5,6,7]=>[2,3,1,4,8,5,6,7] [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[2,3,1,4,8,7,6,5]=>[3,1,2,4,8,7,6,5]=>[3,1,2,4,6,7,8,5] [[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[2,3,1,4,7,6,8,5]=>[3,1,2,4,8,5,7,6]=>[3,1,2,4,8,7,5,6] [[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[2,3,1,4,6,7,8,5]=>[3,1,2,4,8,5,6,7]=>[3,1,2,4,8,5,6,7] [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,6,7,8,5] [[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,8,5,7,6]=>[1,3,2,4,8,7,5,6] [[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,8,5,6,7]=>[1,3,2,4,8,5,6,7] [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,6,7,8,5] [[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[2,1,3,4,7,6,8,5]=>[2,1,3,4,8,5,7,6]=>[2,1,3,4,8,7,5,6] [[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,8,5,6,7]=>[2,1,3,4,8,5,6,7] [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,6,7,8,5] [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,8,5,7,6]=>[1,2,3,4,8,7,5,6] [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,8,5,6,7]=>[1,2,3,4,8,5,6,7] [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6]=>[2,3,4,5,1,7,8,6] [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,8,6,7]=>[2,3,4,5,1,8,6,7] [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[4,5,3,2,1,8,7,6]=>[5,3,2,1,4,8,7,6]=>[2,3,5,1,4,7,8,6] [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[3,5,4,2,1,8,7,6]=>[5,4,2,1,3,8,7,6]=>[2,4,1,5,3,7,8,6] [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[4,3,5,2,1,8,7,6]=>[5,2,1,4,3,8,7,6]=>[2,5,4,1,3,7,8,6] [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[3,4,5,2,1,8,7,6]=>[5,2,1,3,4,8,7,6]=>[2,5,1,3,4,7,8,6] [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[2,5,4,3,1,8,7,6]=>[5,4,3,1,2,8,7,6]=>[3,1,4,5,2,7,8,6] [[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[2,4,5,3,1,8,7,6]=>[5,3,1,2,4,8,7,6]=>[3,1,5,2,4,7,8,6] [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[5,4,1,3,2,8,7,6]=>[4,3,1,5,2,7,8,6] [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[2,3,5,4,1,8,7,6]=>[5,4,1,2,3,8,7,6]=>[4,1,2,5,3,7,8,6] [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[4,3,2,5,1,8,7,6]=>[5,1,4,3,2,8,7,6]=>[5,3,4,1,2,7,8,6] [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[3,4,2,5,1,8,7,6]=>[5,1,4,2,3,8,7,6]=>[5,4,2,1,3,7,8,6] [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[2,4,3,5,1,8,7,6]=>[5,1,2,4,3,8,7,6]=>[5,1,4,2,3,7,8,6] [[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>[3,2,4,5,1,8,7,6]=>[5,1,3,2,4,8,7,6]=>[5,3,1,2,4,7,8,6] [[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[2,3,4,5,1,8,7,6]=>[5,1,2,3,4,8,7,6]=>[5,1,2,3,4,7,8,6] [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[2,3,4,1,5,7,8,6] [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,8,6,7]=>[2,3,4,1,5,8,6,7] [[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[2,3,4,1,5,8,7,6]=>[4,1,2,3,5,8,7,6]=>[4,1,2,3,5,7,8,6] [[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[2,3,4,1,5,7,8,6]=>[4,1,2,3,5,8,6,7]=>[4,1,2,3,5,8,6,7] [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7]=>[2,3,4,5,6,1,8,7] [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[6,3,2,1,4,5,8,7]=>[2,3,6,1,4,5,8,7] [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[2,3,6,5,4,1,8,7]=>[6,5,4,1,2,3,8,7]=>[4,1,2,5,6,3,8,7] [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[2,4,3,6,5,1,8,7]=>[6,5,1,2,4,3,8,7]=>[5,1,4,2,6,3,8,7] [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[5,4,3,2,6,1,8,7]=>[6,1,5,4,3,2,8,7]=>[6,3,4,5,1,2,8,7] [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7]=>[2,1,4,5,6,3,8,7] [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[2,1,5,6,4,3,8,7]=>[2,1,6,4,3,5,8,7]=>[2,1,4,6,3,5,8,7] [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,6,5,3,8,7]=>[2,1,6,5,3,4,8,7]=>[2,1,5,3,6,4,8,7] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[2,3,4,1,6,5,8,7] [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[4,2,1,3,6,5,8,7]=>[2,4,1,3,6,5,8,7] [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7]=>[4,3,1,2,6,5,8,7]=>[3,1,4,2,6,5,8,7] [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7]=>[4,1,3,2,6,5,8,7]=>[4,3,1,2,6,5,8,7] [[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[2,3,4,1,6,5,8,7]=>[4,1,2,3,6,5,8,7]=>[4,1,2,3,6,5,8,7] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7] [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[5,4,3,2,1,6,8,7]=>[5,4,3,2,1,6,8,7]=>[2,3,4,5,1,6,8,7] [[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[2,1,5,4,3,6,8,7]=>[2,1,5,4,3,6,8,7]=>[2,1,4,5,3,6,8,7] [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[2,3,4,1,5,6,8,7] [[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[2,3,4,1,5,6,8,7]=>[4,1,2,3,5,6,8,7]=>[4,1,2,3,5,6,8,7] [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[7,4,3,2,1,5,6,8]=>[2,3,4,7,1,5,6,8] [[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[3,2,6,7,5,4,1,8]=>[7,5,4,1,3,2,6,8]=>[4,3,1,5,7,2,6,8] [[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[3,5,4,2,6,7,1,8]=>[7,1,5,4,2,3,6,8]=>[7,4,2,5,1,3,6,8] [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[2,3,4,1,6,7,5,8] [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[4,3,2,1,6,7,5,8]=>[4,3,2,1,7,5,6,8]=>[2,3,4,1,7,5,6,8] [[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[2,3,4,1,7,6,5,8]=>[4,1,2,3,7,6,5,8]=>[4,1,2,3,6,7,5,8] [[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[2,3,4,1,6,7,5,8]=>[4,1,2,3,7,5,6,8]=>[4,1,2,3,7,5,6,8] [[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5,8]=>[2,3,1,4,6,7,5,8] [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6,8]=>[2,3,4,5,1,7,6,8] [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[3,2,1,5,4,7,6,8]=>[3,2,1,5,4,7,6,8]=>[2,3,1,5,4,7,6,8] [[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6,8] [[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6,8] [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[2,3,4,1,5,7,6,8] [[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[2,3,4,1,5,7,6,8]=>[4,1,2,3,5,7,6,8]=>[4,1,2,3,5,7,6,8] [[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8] [[[[[[[.,.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6,8] [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[2,3,4,1,6,5,7,8] [[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[2,3,4,1,6,5,7,8]=>[4,1,2,3,6,5,7,8]=>[4,1,2,3,6,5,7,8] [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[2,3,4,5,1,6,7,8] [[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7,8] [[[[[[[.,.],.],.],[.,.]],.],.],.]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7,8] [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[2,3,4,1,5,6,7,8] [[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[4,3,1,2,5,6,7,8] [[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7,8] [[[[[[[.,.],[.,.]],.],.],.],.],.]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[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
invert Laguerre heap
Description
The permutation obtained by inverting the corresponding Laguerre heap, according to Viennot.
Let $\pi$ be a permutation. Following Viennot [1], we associate to $\pi$ a heap of pieces, by considering each decreasing run $(\pi_i, \pi_{i+1}, \dots, \pi_j)$ of $\pi$ as one piece, beginning with the left most run. Two pieces commute if and only if the minimal element of one piece is larger than the maximal element of the other piece.
This map yields the permutation corresponding to the heap obtained by reversing the reading direction of the heap.
Equivalently, this is the permutation obtained by flipping the noncrossing arc diagram of Reading [2] vertically.
By definition, this map preserves the set of decreasing runs.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
  • the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
  • the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
  • the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
  • the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
  • the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.