Identifier
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00089: Permutations —Inverse Kreweras complement⟶ Permutations
Mp00277: Permutations —catalanization⟶ Permutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1] [.,[.,.]]=>[2,1]=>[1,2]=>[1,2] [[.,.],.]=>[1,2]=>[2,1]=>[2,1] [.,[.,[.,.]]]=>[3,2,1]=>[2,1,3]=>[2,1,3] [.,[[.,.],.]]=>[2,3,1]=>[1,2,3]=>[1,2,3] [[.,.],[.,.]]=>[1,3,2]=>[3,2,1]=>[3,2,1] [[.,[.,.]],.]=>[2,1,3]=>[1,3,2]=>[1,3,2] [[[.,.],.],.]=>[1,2,3]=>[2,3,1]=>[2,3,1] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[3,2,1,4]=>[3,2,1,4] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[3,1,2,4]=>[2,3,1,4] [.,[[.,.],[.,.]]]=>[2,4,3,1]=>[1,3,2,4]=>[1,3,2,4] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[2,1,3,4]=>[2,1,3,4] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4] [[.,.],[.,[.,.]]]=>[1,4,3,2]=>[4,3,2,1]=>[4,3,2,1] [[.,.],[[.,.],.]]=>[1,3,4,2]=>[4,2,3,1]=>[3,4,2,1] [[.,[.,.]],[.,.]]=>[2,1,4,3]=>[1,4,3,2]=>[1,4,3,2] [[[.,.],.],[.,.]]=>[1,2,4,3]=>[2,4,3,1]=>[2,4,3,1] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[2,1,4,3]=>[2,1,4,3] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[1,2,4,3]=>[1,2,4,3] [[[.,.],[.,.]],.]=>[1,3,2,4]=>[3,2,4,1]=>[3,2,4,1] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[1,3,4,2]=>[1,3,4,2] [[[[.,.],.],.],.]=>[1,2,3,4]=>[2,3,4,1]=>[2,3,4,1] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[4,3,2,1,5]=>[4,3,2,1,5] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[4,3,1,2,5]=>[3,4,2,1,5] [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[4,1,3,2,5]=>[2,4,3,1,5] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[4,2,1,3,5]=>[3,2,4,1,5] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[4,1,2,3,5]=>[2,3,4,1,5] [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[1,4,3,2,5]=>[1,4,3,2,5] [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[1,4,2,3,5]=>[1,3,4,2,5] [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[2,1,4,3,5]=>[2,1,4,3,5] [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[1,2,4,3,5]=>[1,2,4,3,5] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[3,2,1,4,5]=>[3,2,1,4,5] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[3,1,2,4,5]=>[2,3,1,4,5] [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[1,3,2,4,5]=>[1,3,2,4,5] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[2,1,3,4,5]=>[2,1,3,4,5] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5] [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[5,4,3,2,1]=>[5,4,3,2,1] [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[5,4,2,3,1]=>[4,5,3,2,1] [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[5,2,4,3,1]=>[3,5,4,2,1] [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[5,3,2,4,1]=>[4,3,5,2,1] [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[5,2,3,4,1]=>[3,4,5,2,1] [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[1,5,4,3,2]=>[1,5,4,3,2] [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[1,5,3,4,2]=>[1,4,5,3,2] [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[2,5,4,3,1]=>[2,5,4,3,1] [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[2,5,3,4,1]=>[2,4,5,3,1] [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[2,1,5,4,3]=>[2,1,5,4,3] [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[1,2,5,4,3]=>[1,2,5,4,3] [[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[3,2,5,4,1]=>[3,2,5,4,1] [[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[1,3,5,4,2]=>[1,3,5,4,2] [[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[2,3,5,4,1]=>[2,3,5,4,1] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[3,2,1,5,4]=>[3,2,1,5,4] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[3,1,2,5,4]=>[2,3,1,5,4] [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[1,3,2,5,4]=>[1,3,2,5,4] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[2,1,3,5,4]=>[2,1,3,5,4] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[1,2,3,5,4]=>[1,2,3,5,4] [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[4,3,2,5,1]=>[4,3,2,5,1] [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[4,2,3,5,1]=>[3,4,2,5,1] [[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[1,4,3,5,2]=>[1,4,3,5,2] [[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[2,4,3,5,1]=>[2,4,3,5,1] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[2,1,4,5,3]=>[2,1,4,5,3] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[1,2,4,5,3]=>[1,2,4,5,3] [[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[3,2,4,5,1]=>[3,2,4,5,1] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[1,3,4,5,2]=>[1,3,4,5,2] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,3,4,5,1] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[5,4,3,1,2,6]=>[4,5,3,2,1,6] [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[5,4,1,3,2,6]=>[3,5,4,2,1,6] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[5,4,2,1,3,6]=>[4,3,5,2,1,6] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6] [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[5,1,4,3,2,6]=>[2,5,4,3,1,6] [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[5,1,4,2,3,6]=>[2,4,5,3,1,6] [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[5,2,1,4,3,6]=>[3,2,5,4,1,6] [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[5,1,2,4,3,6]=>[2,3,5,4,1,6] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[5,3,2,1,4,6]=>[4,3,2,5,1,6] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6] [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[5,1,3,2,4,6]=>[2,4,3,5,1,6] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6] [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6] [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[1,5,4,2,3,6]=>[1,4,5,3,2,6] [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[1,5,2,4,3,6]=>[1,3,5,4,2,6] [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[1,5,3,2,4,6]=>[1,4,3,5,2,6] [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6] [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6] [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[2,1,5,3,4,6]=>[2,1,4,5,3,6] [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6] [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6] [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6] [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[3,1,2,5,4,6]=>[2,3,1,5,4,6] [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6] [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[4,1,3,2,5,6]=>[2,4,3,1,5,6] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6] [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6] [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6] [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6] [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6] [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[6,5,4,2,3,1]=>[5,6,4,3,2,1] [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[6,5,2,4,3,1]=>[4,6,5,3,2,1] [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[6,5,3,2,4,1]=>[5,4,6,3,2,1] [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[6,5,2,3,4,1]=>[4,5,6,3,2,1] [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[6,2,5,4,3,1]=>[3,6,5,4,2,1] [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[6,2,5,3,4,1]=>[3,5,6,4,2,1] [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[6,3,2,5,4,1]=>[4,3,6,5,2,1] [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[6,2,3,5,4,1]=>[3,4,6,5,2,1] [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[6,4,3,2,5,1]=>[5,4,3,6,2,1] [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[6,4,2,3,5,1]=>[4,5,3,6,2,1] [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[6,2,4,3,5,1]=>[3,5,4,6,2,1] [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[6,3,2,4,5,1]=>[4,3,5,6,2,1] [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[6,2,3,4,5,1]=>[3,4,5,6,2,1] [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2] [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[1,6,5,3,4,2]=>[1,5,6,4,3,2] [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[1,6,3,5,4,2]=>[1,4,6,5,3,2] [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[1,6,4,3,5,2]=>[1,5,4,6,3,2] [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[1,6,3,4,5,2]=>[1,4,5,6,3,2] [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[2,6,5,4,3,1]=>[2,6,5,4,3,1] [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[2,6,5,3,4,1]=>[2,5,6,4,3,1] [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[2,6,3,5,4,1]=>[2,4,6,5,3,1] [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[2,6,4,3,5,1]=>[2,5,4,6,3,1] [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[2,6,3,4,5,1]=>[2,4,5,6,3,1] [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3] [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[2,1,6,4,5,3]=>[2,1,5,6,4,3] [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3] [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[1,2,6,4,5,3]=>[1,2,5,6,4,3] [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[3,2,6,5,4,1]=>[3,2,6,5,4,1] [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[3,2,6,4,5,1]=>[3,2,5,6,4,1] [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[1,3,6,5,4,2]=>[1,3,6,5,4,2] [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[1,3,6,4,5,2]=>[1,3,5,6,4,2] [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[2,3,6,5,4,1]=>[2,3,6,5,4,1] [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[2,3,6,4,5,1]=>[2,3,5,6,4,1] [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4] [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[3,1,2,6,5,4]=>[2,3,1,6,5,4] [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4] [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4] [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4] [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[4,3,2,6,5,1]=>[4,3,2,6,5,1] [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[4,2,3,6,5,1]=>[3,4,2,6,5,1] [[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[1,4,3,6,5,2]=>[1,4,3,6,5,2] [[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[2,4,3,6,5,1]=>[2,4,3,6,5,1] [[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[2,1,4,6,5,3]=>[2,1,4,6,5,3] [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[1,2,4,6,5,3]=>[1,2,4,6,5,3] [[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[3,2,4,6,5,1]=>[3,2,4,6,5,1] [[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[1,3,4,6,5,2]=>[1,3,4,6,5,2] [[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[2,3,4,6,5,1]=>[2,3,4,6,5,1] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[4,3,1,2,6,5]=>[3,4,2,1,6,5] [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[4,1,3,2,6,5]=>[2,4,3,1,6,5] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[4,2,1,3,6,5]=>[3,2,4,1,6,5] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[4,1,2,3,6,5]=>[2,3,4,1,6,5] [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5] [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5] [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[3,1,2,4,6,5]=>[2,3,1,4,6,5] [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1] [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[5,4,2,3,6,1]=>[4,5,3,2,6,1] [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[5,2,4,3,6,1]=>[3,5,4,2,6,1] [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[5,3,2,4,6,1]=>[4,3,5,2,6,1] [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[5,2,3,4,6,1]=>[3,4,5,2,6,1] [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[1,5,4,3,6,2]=>[1,5,4,3,6,2] [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[1,5,3,4,6,2]=>[1,4,5,3,6,2] [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[2,5,4,3,6,1]=>[2,5,4,3,6,1] [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[2,5,3,4,6,1]=>[2,4,5,3,6,1] [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[2,1,5,4,6,3]=>[2,1,5,4,6,3] [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[1,2,5,4,6,3]=>[1,2,5,4,6,3] [[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[3,2,5,4,6,1]=>[3,2,5,4,6,1] [[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[1,3,5,4,6,2]=>[1,3,5,4,6,2] [[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[2,3,5,4,6,1]=>[2,3,5,4,6,1] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[3,2,1,5,6,4]=>[3,2,1,5,6,4] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[3,1,2,5,6,4]=>[2,3,1,5,6,4] [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[1,3,2,5,6,4]=>[1,3,2,5,6,4] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[2,1,3,5,6,4]=>[2,1,3,5,6,4] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[1,2,3,5,6,4]=>[1,2,3,5,6,4] [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[4,3,2,5,6,1]=>[4,3,2,5,6,1] [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[4,2,3,5,6,1]=>[3,4,2,5,6,1] [[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[1,4,3,5,6,2]=>[1,4,3,5,6,2] [[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[2,4,3,5,6,1]=>[2,4,3,5,6,1] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[2,1,4,5,6,3]=>[2,1,4,5,6,3] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[1,2,4,5,6,3]=>[1,2,4,5,6,3] [[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[3,2,4,5,6,1]=>[3,2,4,5,6,1] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[1,3,4,5,6,2]=>[1,3,4,5,6,2] [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>[2,3,4,5,6,1] [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[6,5,4,3,1,2,7]=>[5,6,4,3,2,1,7] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[6,5,4,1,3,2,7]=>[4,6,5,3,2,1,7] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[6,5,4,2,1,3,7]=>[5,4,6,3,2,1,7] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[6,5,4,1,2,3,7]=>[4,5,6,3,2,1,7] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[6,5,1,4,3,2,7]=>[3,6,5,4,2,1,7] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[6,5,1,4,2,3,7]=>[3,5,6,4,2,1,7] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[6,5,2,1,4,3,7]=>[4,3,6,5,2,1,7] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[6,5,1,2,4,3,7]=>[3,4,6,5,2,1,7] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[6,5,3,2,1,4,7]=>[5,4,3,6,2,1,7] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[6,5,3,1,2,4,7]=>[4,5,3,6,2,1,7] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[6,5,1,3,2,4,7]=>[3,5,4,6,2,1,7] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[6,5,2,1,3,4,7]=>[4,3,5,6,2,1,7] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[6,5,1,2,3,4,7]=>[3,4,5,6,2,1,7] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[6,1,5,4,3,2,7]=>[2,6,5,4,3,1,7] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[6,1,5,4,2,3,7]=>[2,5,6,4,3,1,7] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[6,1,5,2,4,3,7]=>[2,4,6,5,3,1,7] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[6,1,5,3,2,4,7]=>[2,5,4,6,3,1,7] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[6,1,5,2,3,4,7]=>[2,4,5,6,3,1,7] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[6,2,1,5,4,3,7]=>[3,2,6,5,4,1,7] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[6,2,1,5,3,4,7]=>[3,2,5,6,4,1,7] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[6,1,2,5,4,3,7]=>[2,3,6,5,4,1,7] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[6,1,2,5,3,4,7]=>[2,3,5,6,4,1,7] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[6,3,2,1,5,4,7]=>[4,3,2,6,5,1,7] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[6,3,1,2,5,4,7]=>[3,4,2,6,5,1,7] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[6,1,3,2,5,4,7]=>[2,4,3,6,5,1,7] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[6,2,1,3,5,4,7]=>[3,2,4,6,5,1,7] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[6,1,2,3,5,4,7]=>[2,3,4,6,5,1,7] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[6,4,3,2,1,5,7]=>[5,4,3,2,6,1,7] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[6,4,3,1,2,5,7]=>[4,5,3,2,6,1,7] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[6,4,1,3,2,5,7]=>[3,5,4,2,6,1,7] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[6,4,2,1,3,5,7]=>[4,3,5,2,6,1,7] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[6,4,1,2,3,5,7]=>[3,4,5,2,6,1,7] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[6,1,4,3,2,5,7]=>[2,5,4,3,6,1,7] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[6,1,4,2,3,5,7]=>[2,4,5,3,6,1,7] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[6,2,1,4,3,5,7]=>[3,2,5,4,6,1,7] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[6,1,2,4,3,5,7]=>[2,3,5,4,6,1,7] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[6,3,2,1,4,5,7]=>[4,3,2,5,6,1,7] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[6,3,1,2,4,5,7]=>[3,4,2,5,6,1,7] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[6,1,3,2,4,5,7]=>[2,4,3,5,6,1,7] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[6,2,1,3,4,5,7]=>[3,2,4,5,6,1,7] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[1,6,5,4,2,3,7]=>[1,5,6,4,3,2,7] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[1,6,5,2,4,3,7]=>[1,4,6,5,3,2,7] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[1,6,5,3,2,4,7]=>[1,5,4,6,3,2,7] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[1,6,5,2,3,4,7]=>[1,4,5,6,3,2,7] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[1,6,2,5,4,3,7]=>[1,3,6,5,4,2,7] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[1,6,2,5,3,4,7]=>[1,3,5,6,4,2,7] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[1,6,2,3,5,4,7]=>[1,3,4,6,5,2,7] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[1,6,4,3,2,5,7]=>[1,5,4,3,6,2,7] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[1,6,4,2,3,5,7]=>[1,4,5,3,6,2,7] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[1,6,2,4,3,5,7]=>[1,3,5,4,6,2,7] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[1,6,3,2,4,5,7]=>[1,4,3,5,6,2,7] [.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[2,1,6,5,3,4,7]=>[2,1,5,6,4,3,7] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[2,1,6,3,5,4,7]=>[2,1,4,6,5,3,7] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[2,1,6,4,3,5,7]=>[2,1,5,4,6,3,7] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[2,1,6,3,4,5,7]=>[2,1,4,5,6,3,7] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[1,2,6,5,3,4,7]=>[1,2,5,6,4,3,7] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[1,2,6,3,5,4,7]=>[1,2,4,6,5,3,7] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[1,2,6,4,3,5,7]=>[1,2,5,4,6,3,7] [.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[3,2,1,6,4,5,7]=>[3,2,1,5,6,4,7] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[3,1,2,6,5,4,7]=>[2,3,1,6,5,4,7] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[3,1,2,6,4,5,7]=>[2,3,1,5,6,4,7] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[2,1,3,6,4,5,7]=>[2,1,3,5,6,4,7] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7] [.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[4,3,1,2,6,5,7]=>[3,4,2,1,6,5,7] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[4,1,3,2,6,5,7]=>[2,4,3,1,6,5,7] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[4,2,1,3,6,5,7]=>[3,2,4,1,6,5,7] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[4,1,2,3,6,5,7]=>[2,3,4,1,6,5,7] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[3,1,2,4,6,5,7]=>[2,3,1,4,6,5,7] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7] [.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[5,4,3,1,2,6,7]=>[4,5,3,2,1,6,7] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[5,4,1,3,2,6,7]=>[3,5,4,2,1,6,7] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[5,4,2,1,3,6,7]=>[4,3,5,2,1,6,7] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[5,4,1,2,3,6,7]=>[3,4,5,2,1,6,7] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[5,1,4,3,2,6,7]=>[2,5,4,3,1,6,7] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[5,1,4,2,3,6,7]=>[2,4,5,3,1,6,7] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[5,2,1,4,3,6,7]=>[3,2,5,4,1,6,7] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[5,1,2,4,3,6,7]=>[2,3,5,4,1,6,7] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[5,3,2,1,4,6,7]=>[4,3,2,5,1,6,7] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[5,3,1,2,4,6,7]=>[3,4,2,5,1,6,7] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[5,1,3,2,4,6,7]=>[2,4,3,5,1,6,7] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[5,2,1,3,4,6,7]=>[3,2,4,5,1,6,7] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[1,5,4,2,3,6,7]=>[1,4,5,3,2,6,7] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[1,5,2,4,3,6,7]=>[1,3,5,4,2,6,7] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[1,5,3,2,4,6,7]=>[1,4,3,5,2,6,7] [.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[2,1,5,3,4,6,7]=>[2,1,4,5,3,6,7] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7] [.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[3,1,2,5,4,6,7]=>[2,3,1,5,4,6,7] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7] [.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[4,3,1,2,5,6,7]=>[3,4,2,1,5,6,7] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[4,1,3,2,5,6,7]=>[2,4,3,1,5,6,7] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[4,2,1,3,5,6,7]=>[3,2,4,1,5,6,7] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7] [.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7] [.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7] [.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[7,6,5,4,2,3,1]=>[6,7,5,4,3,2,1] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[7,6,5,2,4,3,1]=>[5,7,6,4,3,2,1] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[7,6,5,3,2,4,1]=>[6,5,7,4,3,2,1] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[7,6,5,2,3,4,1]=>[5,6,7,4,3,2,1] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[7,6,2,5,4,3,1]=>[4,7,6,5,3,2,1] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[7,6,2,5,3,4,1]=>[4,6,7,5,3,2,1] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[7,6,3,2,5,4,1]=>[5,4,7,6,3,2,1] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[7,6,2,3,5,4,1]=>[4,5,7,6,3,2,1] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[7,6,4,3,2,5,1]=>[6,5,4,7,3,2,1] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[7,6,4,2,3,5,1]=>[5,6,4,7,3,2,1] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[7,6,2,4,3,5,1]=>[4,6,5,7,3,2,1] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[7,6,3,2,4,5,1]=>[5,4,6,7,3,2,1] [[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[7,6,2,3,4,5,1]=>[4,5,6,7,3,2,1] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[7,2,6,5,4,3,1]=>[3,7,6,5,4,2,1] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[7,2,6,5,3,4,1]=>[3,6,7,5,4,2,1] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[7,2,6,3,5,4,1]=>[3,5,7,6,4,2,1] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[7,2,6,4,3,5,1]=>[3,6,5,7,4,2,1] [[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[7,2,6,3,4,5,1]=>[3,5,6,7,4,2,1] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[7,3,2,6,5,4,1]=>[4,3,7,6,5,2,1] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[7,3,2,6,4,5,1]=>[4,3,6,7,5,2,1] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[7,2,3,6,5,4,1]=>[3,4,7,6,5,2,1] [[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[7,2,3,6,4,5,1]=>[3,4,6,7,5,2,1] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[7,4,3,2,6,5,1]=>[5,4,3,7,6,2,1] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[7,4,2,3,6,5,1]=>[4,5,3,7,6,2,1] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[7,2,4,3,6,5,1]=>[3,5,4,7,6,2,1] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[7,3,2,4,6,5,1]=>[4,3,5,7,6,2,1] [[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[7,2,3,4,6,5,1]=>[3,4,5,7,6,2,1] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[7,5,4,3,2,6,1]=>[6,5,4,3,7,2,1] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[7,5,4,2,3,6,1]=>[5,6,4,3,7,2,1] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[7,5,2,4,3,6,1]=>[4,6,5,3,7,2,1] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[7,5,3,2,4,6,1]=>[5,4,6,3,7,2,1] [[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[7,5,2,3,4,6,1]=>[4,5,6,3,7,2,1] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[7,2,5,4,3,6,1]=>[3,6,5,4,7,2,1] [[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[7,2,5,3,4,6,1]=>[3,5,6,4,7,2,1] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[7,3,2,5,4,6,1]=>[4,3,6,5,7,2,1] [[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[7,2,3,5,4,6,1]=>[3,4,6,5,7,2,1] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[7,4,3,2,5,6,1]=>[5,4,3,6,7,2,1] [[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[7,4,2,3,5,6,1]=>[4,5,3,6,7,2,1] [[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[7,2,4,3,5,6,1]=>[3,5,4,6,7,2,1] [[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[7,3,2,4,5,6,1]=>[4,3,5,6,7,2,1] [[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[7,2,3,4,5,6,1]=>[3,4,5,6,7,2,1] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[1,7,6,5,3,4,2]=>[1,6,7,5,4,3,2] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[1,7,6,3,5,4,2]=>[1,5,7,6,4,3,2] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[1,7,6,4,3,5,2]=>[1,6,5,7,4,3,2] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[1,7,6,3,4,5,2]=>[1,5,6,7,4,3,2] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[1,7,3,6,5,4,2]=>[1,4,7,6,5,3,2] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[1,7,3,6,4,5,2]=>[1,4,6,7,5,3,2] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[1,7,4,3,6,5,2]=>[1,5,4,7,6,3,2] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[1,7,3,4,6,5,2]=>[1,4,5,7,6,3,2] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[1,7,5,4,3,6,2]=>[1,6,5,4,7,3,2] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[1,7,5,3,4,6,2]=>[1,5,6,4,7,3,2] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[1,7,3,5,4,6,2]=>[1,4,6,5,7,3,2] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[1,7,4,3,5,6,2]=>[1,5,4,6,7,3,2] [[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[1,7,3,4,5,6,2]=>[1,4,5,6,7,3,2] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[2,7,6,5,4,3,1]=>[2,7,6,5,4,3,1] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[2,7,6,5,3,4,1]=>[2,6,7,5,4,3,1] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[2,7,6,3,5,4,1]=>[2,5,7,6,4,3,1] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[2,7,6,4,3,5,1]=>[2,6,5,7,4,3,1] [[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[2,7,6,3,4,5,1]=>[2,5,6,7,4,3,1] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[2,7,3,6,5,4,1]=>[2,4,7,6,5,3,1] [[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[2,7,3,6,4,5,1]=>[2,4,6,7,5,3,1] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[2,7,4,3,6,5,1]=>[2,5,4,7,6,3,1] [[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[2,7,3,4,6,5,1]=>[2,4,5,7,6,3,1] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[2,7,5,4,3,6,1]=>[2,6,5,4,7,3,1] [[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[2,7,5,3,4,6,1]=>[2,5,6,4,7,3,1] [[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[2,7,3,5,4,6,1]=>[2,4,6,5,7,3,1] [[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[2,7,4,3,5,6,1]=>[2,5,4,6,7,3,1] [[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[2,7,3,4,5,6,1]=>[2,4,5,6,7,3,1] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[2,1,7,6,4,5,3]=>[2,1,6,7,5,4,3] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[2,1,7,4,6,5,3]=>[2,1,5,7,6,4,3] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[2,1,7,5,4,6,3]=>[2,1,6,5,7,4,3] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[2,1,7,4,5,6,3]=>[2,1,5,6,7,4,3] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[1,2,7,6,4,5,3]=>[1,2,6,7,5,4,3] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[1,2,7,4,6,5,3]=>[1,2,5,7,6,4,3] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[1,2,7,5,4,6,3]=>[1,2,6,5,7,4,3] [[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[1,2,7,4,5,6,3]=>[1,2,5,6,7,4,3] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[3,2,7,6,4,5,1]=>[3,2,6,7,5,4,1] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[3,2,7,4,6,5,1]=>[3,2,5,7,6,4,1] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[3,2,7,5,4,6,1]=>[3,2,6,5,7,4,1] [[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[3,2,7,4,5,6,1]=>[3,2,5,6,7,4,1] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[1,3,7,6,5,4,2]=>[1,3,7,6,5,4,2] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[1,3,7,6,4,5,2]=>[1,3,6,7,5,4,2] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[1,3,7,4,6,5,2]=>[1,3,5,7,6,4,2] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[1,3,7,5,4,6,2]=>[1,3,6,5,7,4,2] [[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[1,3,7,4,5,6,2]=>[1,3,5,6,7,4,2] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[2,3,7,6,5,4,1]=>[2,3,7,6,5,4,1] [[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[2,3,7,6,4,5,1]=>[2,3,6,7,5,4,1] [[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[2,3,7,4,6,5,1]=>[2,3,5,7,6,4,1] [[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[2,3,7,5,4,6,1]=>[2,3,6,5,7,4,1] [[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[2,3,7,4,5,6,1]=>[2,3,5,6,7,4,1] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[3,2,1,7,5,6,4]=>[3,2,1,6,7,5,4] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[3,1,2,7,6,5,4]=>[2,3,1,7,6,5,4] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[3,1,2,7,5,6,4]=>[2,3,1,6,7,5,4] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[1,3,2,7,5,6,4]=>[1,3,2,6,7,5,4] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[2,1,3,7,5,6,4]=>[2,1,3,6,7,5,4] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4] [[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[1,2,3,7,5,6,4]=>[1,2,3,6,7,5,4] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[4,3,2,7,6,5,1]=>[4,3,2,7,6,5,1] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[4,3,2,7,5,6,1]=>[4,3,2,6,7,5,1] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[4,2,3,7,6,5,1]=>[3,4,2,7,6,5,1] [[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[4,2,3,7,5,6,1]=>[3,4,2,6,7,5,1] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[1,4,3,7,6,5,2]=>[1,4,3,7,6,5,2] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[1,4,3,7,5,6,2]=>[1,4,3,6,7,5,2] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[2,4,3,7,6,5,1]=>[2,4,3,7,6,5,1] [[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[2,4,3,7,5,6,1]=>[2,4,3,6,7,5,1] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[2,1,4,7,6,5,3]=>[2,1,4,7,6,5,3] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[2,1,4,7,5,6,3]=>[2,1,4,6,7,5,3] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[1,2,4,7,6,5,3]=>[1,2,4,7,6,5,3] [[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[1,2,4,7,5,6,3]=>[1,2,4,6,7,5,3] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[3,2,4,7,6,5,1]=>[3,2,4,7,6,5,1] [[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[3,2,4,7,5,6,1]=>[3,2,4,6,7,5,1] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[1,3,4,7,6,5,2]=>[1,3,4,7,6,5,2] [[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[1,3,4,7,5,6,2]=>[1,3,4,6,7,5,2] [[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[2,3,4,7,6,5,1]=>[2,3,4,7,6,5,1] [[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[2,3,4,7,5,6,1]=>[2,3,4,6,7,5,1] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[4,3,1,2,7,6,5]=>[3,4,2,1,7,6,5] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[4,1,3,2,7,6,5]=>[2,4,3,1,7,6,5] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[4,2,1,3,7,6,5]=>[3,2,4,1,7,6,5] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[4,1,2,3,7,6,5]=>[2,3,4,1,7,6,5] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[1,4,2,3,7,6,5]=>[1,3,4,2,7,6,5] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[3,1,2,4,7,6,5]=>[2,3,1,4,7,6,5] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5] [[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[5,4,2,3,7,6,1]=>[4,5,3,2,7,6,1] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[5,2,4,3,7,6,1]=>[3,5,4,2,7,6,1] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[5,3,2,4,7,6,1]=>[4,3,5,2,7,6,1] [[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[5,2,3,4,7,6,1]=>[3,4,5,2,7,6,1] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[1,5,4,3,7,6,2]=>[1,5,4,3,7,6,2] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[1,5,3,4,7,6,2]=>[1,4,5,3,7,6,2] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[2,5,4,3,7,6,1]=>[2,5,4,3,7,6,1] [[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[2,5,3,4,7,6,1]=>[2,4,5,3,7,6,1] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[2,1,5,4,7,6,3]=>[2,1,5,4,7,6,3] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[1,2,5,4,7,6,3]=>[1,2,5,4,7,6,3] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[3,2,5,4,7,6,1]=>[3,2,5,4,7,6,1] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[1,3,5,4,7,6,2]=>[1,3,5,4,7,6,2] [[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[2,3,5,4,7,6,1]=>[2,3,5,4,7,6,1] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[3,2,1,5,7,6,4]=>[3,2,1,5,7,6,4] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[3,1,2,5,7,6,4]=>[2,3,1,5,7,6,4] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[1,3,2,5,7,6,4]=>[1,3,2,5,7,6,4] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[2,1,3,5,7,6,4]=>[2,1,3,5,7,6,4] [[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[1,2,3,5,7,6,4]=>[1,2,3,5,7,6,4] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[4,3,2,5,7,6,1]=>[4,3,2,5,7,6,1] [[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[4,2,3,5,7,6,1]=>[3,4,2,5,7,6,1] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[1,4,3,5,7,6,2]=>[1,4,3,5,7,6,2] [[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[2,4,3,5,7,6,1]=>[2,4,3,5,7,6,1] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[2,1,4,5,7,6,3]=>[2,1,4,5,7,6,3] [[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[1,2,4,5,7,6,3]=>[1,2,4,5,7,6,3] [[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[3,2,4,5,7,6,1]=>[3,2,4,5,7,6,1] [[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[1,3,4,5,7,6,2]=>[1,3,4,5,7,6,2] [[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[2,3,4,5,7,6,1]=>[2,3,4,5,7,6,1] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[5,4,3,1,2,7,6]=>[4,5,3,2,1,7,6] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[5,4,1,3,2,7,6]=>[3,5,4,2,1,7,6] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[5,4,2,1,3,7,6]=>[4,3,5,2,1,7,6] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[5,4,1,2,3,7,6]=>[3,4,5,2,1,7,6] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[5,1,4,3,2,7,6]=>[2,5,4,3,1,7,6] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[5,1,4,2,3,7,6]=>[2,4,5,3,1,7,6] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[5,2,1,4,3,7,6]=>[3,2,5,4,1,7,6] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[5,1,2,4,3,7,6]=>[2,3,5,4,1,7,6] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[5,3,2,1,4,7,6]=>[4,3,2,5,1,7,6] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[5,3,1,2,4,7,6]=>[3,4,2,5,1,7,6] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[5,1,3,2,4,7,6]=>[2,4,3,5,1,7,6] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[5,2,1,3,4,7,6]=>[3,2,4,5,1,7,6] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[5,1,2,3,4,7,6]=>[2,3,4,5,1,7,6] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[1,5,4,2,3,7,6]=>[1,4,5,3,2,7,6] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[1,5,2,4,3,7,6]=>[1,3,5,4,2,7,6] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[1,5,3,2,4,7,6]=>[1,4,3,5,2,7,6] [[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[2,1,5,3,4,7,6]=>[2,1,4,5,3,7,6] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6] [[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[3,1,2,5,4,7,6]=>[2,3,1,5,4,7,6] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[4,3,1,2,5,7,6]=>[3,4,2,1,5,7,6] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[4,1,3,2,5,7,6]=>[2,4,3,1,5,7,6] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[4,2,1,3,5,7,6]=>[3,2,4,1,5,7,6] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[4,1,2,3,5,7,6]=>[2,3,4,1,5,7,6] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6] [[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[3,1,2,4,5,7,6]=>[2,3,1,4,5,7,6] [[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[6,5,4,2,3,7,1]=>[5,6,4,3,2,7,1] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[6,5,2,4,3,7,1]=>[4,6,5,3,2,7,1] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[6,5,3,2,4,7,1]=>[5,4,6,3,2,7,1] [[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[6,5,2,3,4,7,1]=>[4,5,6,3,2,7,1] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[6,2,5,4,3,7,1]=>[3,6,5,4,2,7,1] [[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[6,2,5,3,4,7,1]=>[3,5,6,4,2,7,1] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[6,3,2,5,4,7,1]=>[4,3,6,5,2,7,1] [[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[6,2,3,5,4,7,1]=>[3,4,6,5,2,7,1] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[6,4,3,2,5,7,1]=>[5,4,3,6,2,7,1] [[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[6,4,2,3,5,7,1]=>[4,5,3,6,2,7,1] [[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[6,2,4,3,5,7,1]=>[3,5,4,6,2,7,1] [[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[6,3,2,4,5,7,1]=>[4,3,5,6,2,7,1] [[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[6,2,3,4,5,7,1]=>[3,4,5,6,2,7,1] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[1,6,5,4,3,7,2]=>[1,6,5,4,3,7,2] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[1,6,5,3,4,7,2]=>[1,5,6,4,3,7,2] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[1,6,3,5,4,7,2]=>[1,4,6,5,3,7,2] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[1,6,4,3,5,7,2]=>[1,5,4,6,3,7,2] [[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[1,6,3,4,5,7,2]=>[1,4,5,6,3,7,2] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[2,6,5,4,3,7,1]=>[2,6,5,4,3,7,1] [[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[2,6,5,3,4,7,1]=>[2,5,6,4,3,7,1] [[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[2,6,3,5,4,7,1]=>[2,4,6,5,3,7,1] [[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[2,6,4,3,5,7,1]=>[2,5,4,6,3,7,1] [[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[2,6,3,4,5,7,1]=>[2,4,5,6,3,7,1] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[2,1,6,5,4,7,3]=>[2,1,6,5,4,7,3] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[2,1,6,4,5,7,3]=>[2,1,5,6,4,7,3] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[1,2,6,5,4,7,3]=>[1,2,6,5,4,7,3] [[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[1,2,6,4,5,7,3]=>[1,2,5,6,4,7,3] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[3,2,6,5,4,7,1]=>[3,2,6,5,4,7,1] [[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[3,2,6,4,5,7,1]=>[3,2,5,6,4,7,1] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[1,3,6,5,4,7,2]=>[1,3,6,5,4,7,2] [[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[1,3,6,4,5,7,2]=>[1,3,5,6,4,7,2] [[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[2,3,6,5,4,7,1]=>[2,3,6,5,4,7,1] [[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[2,3,6,4,5,7,1]=>[2,3,5,6,4,7,1] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[3,2,1,6,5,7,4]=>[3,2,1,6,5,7,4] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[3,1,2,6,5,7,4]=>[2,3,1,6,5,7,4] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[1,3,2,6,5,7,4]=>[1,3,2,6,5,7,4] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[2,1,3,6,5,7,4]=>[2,1,3,6,5,7,4] [[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[1,2,3,6,5,7,4]=>[1,2,3,6,5,7,4] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[4,3,2,6,5,7,1]=>[4,3,2,6,5,7,1] [[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[4,2,3,6,5,7,1]=>[3,4,2,6,5,7,1] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[1,4,3,6,5,7,2]=>[1,4,3,6,5,7,2] [[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[2,4,3,6,5,7,1]=>[2,4,3,6,5,7,1] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[2,1,4,6,5,7,3]=>[2,1,4,6,5,7,3] [[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[1,2,4,6,5,7,3]=>[1,2,4,6,5,7,3] [[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[3,2,4,6,5,7,1]=>[3,2,4,6,5,7,1] [[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[1,3,4,6,5,7,2]=>[1,3,4,6,5,7,2] [[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[2,3,4,6,5,7,1]=>[2,3,4,6,5,7,1] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[4,3,2,1,6,7,5]=>[4,3,2,1,6,7,5] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[4,3,1,2,6,7,5]=>[3,4,2,1,6,7,5] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[4,1,3,2,6,7,5]=>[2,4,3,1,6,7,5] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[4,2,1,3,6,7,5]=>[3,2,4,1,6,7,5] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[4,1,2,3,6,7,5]=>[2,3,4,1,6,7,5] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[1,4,3,2,6,7,5]=>[1,4,3,2,6,7,5] [[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[1,4,2,3,6,7,5]=>[1,3,4,2,6,7,5] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[2,1,4,3,6,7,5]=>[2,1,4,3,6,7,5] [[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[1,2,4,3,6,7,5]=>[1,2,4,3,6,7,5] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[3,2,1,4,6,7,5]=>[3,2,1,4,6,7,5] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[3,1,2,4,6,7,5]=>[2,3,1,4,6,7,5] [[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[1,3,2,4,6,7,5]=>[1,3,2,4,6,7,5] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[2,1,3,4,6,7,5]=>[2,1,3,4,6,7,5] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[1,2,3,4,6,7,5]=>[1,2,3,4,6,7,5] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1] [[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[5,4,2,3,6,7,1]=>[4,5,3,2,6,7,1] [[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[5,2,4,3,6,7,1]=>[3,5,4,2,6,7,1] [[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[5,3,2,4,6,7,1]=>[4,3,5,2,6,7,1] [[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[5,2,3,4,6,7,1]=>[3,4,5,2,6,7,1] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[1,5,4,3,6,7,2]=>[1,5,4,3,6,7,2] [[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[1,5,3,4,6,7,2]=>[1,4,5,3,6,7,2] [[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[2,5,4,3,6,7,1]=>[2,5,4,3,6,7,1] [[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[2,5,3,4,6,7,1]=>[2,4,5,3,6,7,1] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[2,1,5,4,6,7,3]=>[2,1,5,4,6,7,3] [[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[1,2,5,4,6,7,3]=>[1,2,5,4,6,7,3] [[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[3,2,5,4,6,7,1]=>[3,2,5,4,6,7,1] [[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[1,3,5,4,6,7,2]=>[1,3,5,4,6,7,2] [[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[2,3,5,4,6,7,1]=>[2,3,5,4,6,7,1] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[3,2,1,5,6,7,4]=>[3,2,1,5,6,7,4] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[3,1,2,5,6,7,4]=>[2,3,1,5,6,7,4] [[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[1,3,2,5,6,7,4]=>[1,3,2,5,6,7,4] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[2,1,3,5,6,7,4]=>[2,1,3,5,6,7,4] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[1,2,3,5,6,7,4]=>[1,2,3,5,6,7,4] [[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[4,3,2,5,6,7,1]=>[4,3,2,5,6,7,1] [[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[4,2,3,5,6,7,1]=>[3,4,2,5,6,7,1] [[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[1,4,3,5,6,7,2]=>[1,4,3,5,6,7,2] [[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[2,4,3,5,6,7,1]=>[2,4,3,5,6,7,1] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[2,1,4,5,6,7,3]=>[2,1,4,5,6,7,3] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[1,2,4,5,6,7,3]=>[1,2,4,5,6,7,3] [[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[1,3,4,5,6,7,2]=>[1,3,4,5,6,7,2] [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1] [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[7,6,5,1,2,3,4,8]=>[4,5,6,7,3,2,1,8] [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[5,4,3,2,8,7,6,1]=>[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5,8] [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[5,4,3,2,7,8,6,1]=>[4,3,2,1,7,5,6,8]=>[4,3,2,1,6,7,5,8] [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[2,5,4,3,8,7,6,1]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8] [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[5,4,3,2,6,8,7,1]=>[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6,8] [.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[2,4,3,5,6,8,7,1]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6,8] [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[5,4,3,2,7,6,8,1]=>[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7,8] [.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[2,3,5,4,7,6,8,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8] [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8] [.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8] [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[1,8,7,6,5,4,3,2]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[8,3,2,7,6,5,4,1]=>[4,3,8,7,6,5,2,1] [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[1,6,5,4,3,8,7,2]=>[8,5,4,3,2,7,6,1]=>[6,5,4,3,8,7,2,1] [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[8,3,2,5,4,7,6,1]=>[4,3,6,5,8,7,2,1] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2] [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[1,8,7,6,3,4,5,2]=>[1,6,7,8,5,4,3,2] [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3] [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[3,2,1,6,5,8,7,4]=>[2,1,8,5,4,7,6,3]=>[2,1,6,5,8,7,4,3] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4] [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[3,1,2,8,7,5,6,4]=>[2,3,1,7,8,6,5,4] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[1,4,3,8,7,6,5,2]=>[1,4,3,8,7,6,5,2] [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[1,4,3,8,7,5,6,2]=>[1,4,3,7,8,6,5,2] [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,6,7,8,5]=>[2,3,4,8,5,6,7,1]=>[2,3,4,6,7,8,5,1] [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[5,4,3,2,1,8,7,6]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5] [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[5,4,3,2,1,7,8,6]=>[4,3,2,1,8,6,7,5]=>[4,3,2,1,7,8,6,5] [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[4,5,3,2,1,8,7,6]=>[4,3,1,2,8,7,6,5]=>[3,4,2,1,8,7,6,5] [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[3,5,4,2,1,8,7,6]=>[4,1,3,2,8,7,6,5]=>[2,4,3,1,8,7,6,5] [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[4,3,5,2,1,8,7,6]=>[4,2,1,3,8,7,6,5]=>[3,2,4,1,8,7,6,5] [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[3,4,5,2,1,8,7,6]=>[4,1,2,3,8,7,6,5]=>[2,3,4,1,8,7,6,5] [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[2,5,4,3,1,8,7,6]=>[1,4,3,2,8,7,6,5]=>[1,4,3,2,8,7,6,5] [[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[2,4,5,3,1,8,7,6]=>[1,4,2,3,8,7,6,5]=>[1,3,4,2,8,7,6,5] [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5] [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[2,3,5,4,1,8,7,6]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,7,6,5] [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[4,3,2,5,1,8,7,6]=>[3,2,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5] [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[3,4,2,5,1,8,7,6]=>[3,1,2,4,8,7,6,5]=>[2,3,1,4,8,7,6,5] [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[2,4,3,5,1,8,7,6]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,7,6,5] [[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>[3,2,4,5,1,8,7,6]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,7,6,5] [[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[2,3,4,5,1,8,7,6]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,7,6,5] [[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[3,2,1,4,5,7,8,6]=>[2,1,4,5,8,6,7,3]=>[2,1,4,5,7,8,6,3] [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6] [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[5,4,1,2,3,8,7,6]=>[3,4,5,2,1,8,7,6] [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[5,4,3,2,6,1,8,7]=>[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6] [[.,[[[.,[.,[.,.]]],.],.]],[.,.]]=>[4,3,2,5,6,1,8,7]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6] [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[1,6,5,4,3,8,7,2]=>[1,6,5,4,3,8,7,2] [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[2,1,5,6,4,3,8,7]=>[1,6,5,3,4,8,7,2]=>[1,5,6,4,3,8,7,2] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[3,2,1,6,5,8,7,4]=>[3,2,1,6,5,8,7,4] [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[3,1,2,6,5,8,7,4]=>[2,3,1,6,5,8,7,4] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[1,4,3,6,5,8,7,2]=>[1,4,3,6,5,8,7,2] [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[5,4,3,2,1,6,8,7]=>[4,3,2,1,6,8,7,5]=>[4,3,2,1,6,8,7,5] [[[.,[.,[[.,.],[.,.]]]],.],[.,.]]=>[3,5,4,2,1,6,8,7]=>[4,1,3,2,6,8,7,5]=>[2,4,3,1,6,8,7,5] [[[.,[[.,[.,.]],[.,.]]],.],[.,.]]=>[3,2,5,4,1,6,8,7]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,6,8,7,5] [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7] [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[6,5,4,1,2,3,8,7]=>[4,5,6,3,2,1,8,7] [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>[5,4,7,6,3,2,1,8]=>[6,5,2,1,4,3,8,7]=>[4,3,6,5,2,1,8,7] [[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[6,5,3,1,2,4,8,7]=>[4,5,3,6,2,1,8,7] [[.,[.,[[[.,.],[.,.]],[.,.]]]],.]=>[3,5,4,7,6,2,1,8]=>[6,1,3,2,5,4,8,7]=>[2,4,3,6,5,1,8,7] [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[3,2,7,6,5,4,1,8]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7] [[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[3,2,6,7,5,4,1,8]=>[2,1,6,5,3,4,8,7]=>[2,1,5,6,4,3,8,7] [[.,[[.,[.,.]],[[.,.],[.,.]]]],.]=>[3,2,5,7,6,4,1,8]=>[2,1,6,3,5,4,8,7]=>[2,1,4,6,5,3,8,7] [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[5,4,3,2,7,6,1,8]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7] [[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[4,5,3,2,7,6,1,8]=>[4,3,1,2,6,5,8,7]=>[3,4,2,1,6,5,8,7] [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[3,5,4,2,7,6,1,8]=>[4,1,3,2,6,5,8,7]=>[2,4,3,1,6,5,8,7] [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,1,8]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7] [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7] [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[5,4,3,2,1,7,6,8]=>[4,3,2,1,7,6,8,5]=>[4,3,2,1,7,6,8,5] [[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[3,2,5,4,1,7,6,8]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,7,6,8,5] [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[3,2,1,5,4,7,6,8]=>[2,1,5,4,7,6,8,3]=>[2,1,5,4,7,6,8,3] [[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[1,3,2,5,4,7,6,8]=>[3,2,5,4,7,6,8,1]=>[3,2,5,4,7,6,8,1] [[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,7,8,6] [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[4,3,2,1,6,7,8,5]=>[4,3,2,1,6,7,8,5] [[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[3,5,4,2,1,6,7,8]=>[4,1,3,2,6,7,8,5]=>[2,4,3,1,6,7,8,5] [[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[3,2,5,4,1,6,7,8]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,6,7,8,5] [[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,8,4] [[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[2,1,4,5,6,7,8,3]=>[2,1,4,5,6,7,8,3] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,1]
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
Inverse Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $c\pi^{-1}$ where $c = (1,\ldots,n)$ is the long cycle.
Map
catalanization
Description
The catalanization of a permutation.
For a permutation $\sigma$, this is the product of the reflections corresponding to the inversions of $\sigma$ in lex-order.
A permutation is $231$-avoiding if and only if it is a fixpoint of this map. Also, for every permutation there exists an index $k$ such that the $k$-fold application of this map is $231$-avoiding.