Identifier
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00088: Permutations —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]=>[1,3,2]=>[1,3,2] [.,[[.,.],.]]=>[2,3,1]=>[1,2,3]=>[1,2,3] [[.,.],[.,.]]=>[1,3,2]=>[2,1,3]=>[2,1,3] [[.,[.,.]],.]=>[2,1,3]=>[3,2,1]=>[3,2,1] [[[.,.],.],.]=>[1,2,3]=>[2,3,1]=>[2,3,1] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[1,4,3,2]=>[1,4,3,2] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[1,4,2,3]=>[1,3,4,2] [.,[[.,.],[.,.]]]=>[2,4,3,1]=>[1,2,4,3]=>[1,2,4,3] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[1,3,2,4]=>[1,3,2,4] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[1,2,3,4]=>[1,2,3,4] [[.,.],[.,[.,.]]]=>[1,4,3,2]=>[2,1,4,3]=>[2,1,4,3] [[.,.],[[.,.],.]]=>[1,3,4,2]=>[2,1,3,4]=>[2,1,3,4] [[.,[.,.]],[.,.]]=>[2,1,4,3]=>[3,2,1,4]=>[3,2,1,4] [[[.,.],.],[.,.]]=>[1,2,4,3]=>[2,3,1,4]=>[2,3,1,4] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[4,3,2,1]=>[4,3,2,1] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[4,2,3,1]=>[3,4,2,1] [[[.,.],[.,.]],.]=>[1,3,2,4]=>[2,4,3,1]=>[2,4,3,1] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[3,2,4,1]=>[3,2,4,1] [[[[.,.],.],.],.]=>[1,2,3,4]=>[2,3,4,1]=>[2,3,4,1] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[1,5,4,3,2]=>[1,5,4,3,2] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[1,5,4,2,3]=>[1,4,5,3,2] [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[1,5,2,4,3]=>[1,3,5,4,2] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[1,5,3,2,4]=>[1,4,3,5,2] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[1,5,2,3,4]=>[1,3,4,5,2] [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[1,2,5,4,3]=>[1,2,5,4,3] [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[1,2,5,3,4]=>[1,2,4,5,3] [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[1,3,2,5,4]=>[1,3,2,5,4] [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[1,2,3,5,4]=>[1,2,3,5,4] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[1,4,3,2,5]=>[1,4,3,2,5] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[1,4,2,3,5]=>[1,3,4,2,5] [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[1,2,4,3,5]=>[1,2,4,3,5] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[1,3,2,4,5]=>[1,3,2,4,5] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[1,2,3,4,5]=>[1,2,3,4,5] [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[2,1,5,4,3]=>[2,1,5,4,3] [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[2,1,5,3,4]=>[2,1,4,5,3] [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[2,1,3,5,4]=>[2,1,3,5,4] [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[2,1,4,3,5]=>[2,1,4,3,5] [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[2,1,3,4,5]=>[2,1,3,4,5] [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[3,2,1,5,4]=>[3,2,1,5,4] [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[3,2,1,4,5]=>[3,2,1,4,5] [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[2,3,1,5,4]=>[2,3,1,5,4] [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[2,3,1,4,5]=>[2,3,1,4,5] [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[4,3,2,1,5]=>[4,3,2,1,5] [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[4,2,3,1,5]=>[3,4,2,1,5] [[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[2,4,3,1,5]=>[2,4,3,1,5] [[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[3,2,4,1,5]=>[3,2,4,1,5] [[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[2,3,4,1,5]=>[2,3,4,1,5] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[5,4,3,2,1]=>[5,4,3,2,1] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[5,4,2,3,1]=>[4,5,3,2,1] [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[5,2,4,3,1]=>[3,5,4,2,1] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[5,3,2,4,1]=>[4,3,5,2,1] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[5,2,3,4,1]=>[3,4,5,2,1] [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[2,5,4,3,1]=>[2,5,4,3,1] [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[2,5,3,4,1]=>[2,4,5,3,1] [[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[3,2,5,4,1]=>[3,2,5,4,1] [[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[2,3,5,4,1]=>[2,3,5,4,1] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[4,3,2,5,1]=>[4,3,2,5,1] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[4,2,3,5,1]=>[3,4,2,5,1] [[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[2,4,3,5,1]=>[2,4,3,5,1] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[3,2,4,5,1]=>[3,2,4,5,1] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[2,3,4,5,1]=>[2,3,4,5,1] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[1,6,5,4,2,3]=>[1,5,6,4,3,2] [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[1,6,5,2,4,3]=>[1,4,6,5,3,2] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[1,6,5,3,2,4]=>[1,5,4,6,3,2] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[1,6,5,2,3,4]=>[1,4,5,6,3,2] [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[1,6,2,5,4,3]=>[1,3,6,5,4,2] [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[1,6,2,5,3,4]=>[1,3,5,6,4,2] [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[1,6,3,2,5,4]=>[1,4,3,6,5,2] [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[1,6,2,3,5,4]=>[1,3,4,6,5,2] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[1,6,4,3,2,5]=>[1,5,4,3,6,2] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[1,6,4,2,3,5]=>[1,4,5,3,6,2] [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[1,6,2,4,3,5]=>[1,3,5,4,6,2] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[1,6,3,2,4,5]=>[1,4,3,5,6,2] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[1,6,2,3,4,5]=>[1,3,4,5,6,2] [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3] [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[1,2,6,5,3,4]=>[1,2,5,6,4,3] [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[1,2,6,3,5,4]=>[1,2,4,6,5,3] [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[1,2,6,4,3,5]=>[1,2,5,4,6,3] [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[1,2,6,3,4,5]=>[1,2,4,5,6,3] [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4] [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[1,3,2,6,4,5]=>[1,3,2,5,6,4] [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4] [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[1,2,3,6,4,5]=>[1,2,3,5,6,4] [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5] [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[1,4,2,3,6,5]=>[1,3,4,2,6,5] [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[1,5,4,2,3,6]=>[1,4,5,3,2,6] [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[1,5,2,4,3,6]=>[1,3,5,4,2,6] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[1,5,3,2,4,6]=>[1,4,3,5,2,6] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[1,5,2,3,4,6]=>[1,3,4,5,2,6] [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6] [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[1,2,5,3,4,6]=>[1,2,4,5,3,6] [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[1,4,2,3,5,6]=>[1,3,4,2,5,6] [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3] [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[2,1,6,5,3,4]=>[2,1,5,6,4,3] [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[2,1,6,3,5,4]=>[2,1,4,6,5,3] [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[2,1,6,4,3,5]=>[2,1,5,4,6,3] [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[2,1,6,3,4,5]=>[2,1,4,5,6,3] [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4] [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[2,1,3,6,4,5]=>[2,1,3,5,6,4] [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6] [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[2,1,5,3,4,6]=>[2,1,4,5,3,6] [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6] [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4] [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[3,2,1,6,4,5]=>[3,2,1,5,6,4] [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5] [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6] [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6] [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[2,3,1,6,5,4]=>[2,3,1,6,5,4] [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[2,3,1,6,4,5]=>[2,3,1,5,6,4] [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[2,3,1,4,6,5]=>[2,3,1,4,6,5] [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[2,3,1,5,4,6]=>[2,3,1,5,4,6] [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[2,3,1,4,5,6]=>[2,3,1,4,5,6] [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5] [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6] [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[4,2,3,1,6,5]=>[3,4,2,1,6,5] [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[4,2,3,1,5,6]=>[3,4,2,1,5,6] [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[2,4,3,1,6,5]=>[2,4,3,1,6,5] [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[2,4,3,1,5,6]=>[2,4,3,1,5,6] [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[3,2,4,1,6,5]=>[3,2,4,1,6,5] [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[3,2,4,1,5,6]=>[3,2,4,1,5,6] [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>[2,3,4,1,6,5] [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>[2,3,4,1,5,6] [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6] [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[5,4,2,3,1,6]=>[4,5,3,2,1,6] [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[5,2,4,3,1,6]=>[3,5,4,2,1,6] [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[5,3,2,4,1,6]=>[4,3,5,2,1,6] [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[5,2,3,4,1,6]=>[3,4,5,2,1,6] [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6]=>[2,5,4,3,1,6] [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[2,5,3,4,1,6]=>[2,4,5,3,1,6] [[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[3,2,5,4,1,6]=>[3,2,5,4,1,6] [[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>[2,3,5,4,1,6] [[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[4,3,2,5,1,6]=>[4,3,2,5,1,6] [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[4,2,3,5,1,6]=>[3,4,2,5,1,6] [[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>[2,4,3,5,1,6] [[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[3,2,4,5,1,6]=>[3,2,4,5,1,6] [[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>[2,3,4,5,1,6] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[6,5,4,2,3,1]=>[5,6,4,3,2,1] [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[6,5,2,4,3,1]=>[4,6,5,3,2,1] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[6,5,3,2,4,1]=>[5,4,6,3,2,1] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[6,5,2,3,4,1]=>[4,5,6,3,2,1] [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[6,2,5,4,3,1]=>[3,6,5,4,2,1] [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[6,2,5,3,4,1]=>[3,5,6,4,2,1] [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[6,3,2,5,4,1]=>[4,3,6,5,2,1] [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[6,2,3,5,4,1]=>[3,4,6,5,2,1] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[6,4,3,2,5,1]=>[5,4,3,6,2,1] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[6,4,2,3,5,1]=>[4,5,3,6,2,1] [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[6,2,4,3,5,1]=>[3,5,4,6,2,1] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[6,3,2,4,5,1]=>[4,3,5,6,2,1] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[6,2,3,4,5,1]=>[3,4,5,6,2,1] [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[2,6,5,4,3,1]=>[2,6,5,4,3,1] [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[2,6,5,3,4,1]=>[2,5,6,4,3,1] [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[2,6,3,5,4,1]=>[2,4,6,5,3,1] [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[2,6,4,3,5,1]=>[2,5,4,6,3,1] [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[2,6,3,4,5,1]=>[2,4,5,6,3,1] [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[3,2,6,5,4,1]=>[3,2,6,5,4,1] [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[3,2,6,4,5,1]=>[3,2,5,6,4,1] [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>[2,3,6,5,4,1] [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>[2,3,5,6,4,1] [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[4,3,2,6,5,1]=>[4,3,2,6,5,1] [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[4,2,3,6,5,1]=>[3,4,2,6,5,1] [[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>[2,4,3,6,5,1] [[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[3,2,4,6,5,1]=>[3,2,4,6,5,1] [[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>[2,3,4,6,5,1] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[5,4,2,3,6,1]=>[4,5,3,2,6,1] [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[5,2,4,3,6,1]=>[3,5,4,2,6,1] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[5,3,2,4,6,1]=>[4,3,5,2,6,1] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[5,2,3,4,6,1]=>[3,4,5,2,6,1] [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>[2,5,4,3,6,1] [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>[2,4,5,3,6,1] [[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[3,2,5,4,6,1]=>[3,2,5,4,6,1] [[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>[2,3,5,4,6,1] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[4,3,2,5,6,1]=>[4,3,2,5,6,1] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[4,2,3,5,6,1]=>[3,4,2,5,6,1] [[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>[2,4,3,5,6,1] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[3,2,4,5,6,1]=>[3,2,4,5,6,1] [[[[[[.,.],.],.],.],.],.]=>[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]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[1,7,6,5,4,2,3]=>[1,6,7,5,4,3,2] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[1,7,6,5,2,4,3]=>[1,5,7,6,4,3,2] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[1,7,6,5,3,2,4]=>[1,6,5,7,4,3,2] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[1,7,6,5,2,3,4]=>[1,5,6,7,4,3,2] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[1,7,6,2,5,4,3]=>[1,4,7,6,5,3,2] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[1,7,6,2,5,3,4]=>[1,4,6,7,5,3,2] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[1,7,6,3,2,5,4]=>[1,5,4,7,6,3,2] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[1,7,6,2,3,5,4]=>[1,4,5,7,6,3,2] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[1,7,6,4,3,2,5]=>[1,6,5,4,7,3,2] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[1,7,6,4,2,3,5]=>[1,5,6,4,7,3,2] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[1,7,6,2,4,3,5]=>[1,4,6,5,7,3,2] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[1,7,6,3,2,4,5]=>[1,5,4,6,7,3,2] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[1,7,6,2,3,4,5]=>[1,4,5,6,7,3,2] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[1,7,2,6,5,4,3]=>[1,3,7,6,5,4,2] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[1,7,2,6,5,3,4]=>[1,3,6,7,5,4,2] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[1,7,2,6,3,5,4]=>[1,3,5,7,6,4,2] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[1,7,2,6,4,3,5]=>[1,3,6,5,7,4,2] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[1,7,2,6,3,4,5]=>[1,3,5,6,7,4,2] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[1,7,3,2,6,5,4]=>[1,4,3,7,6,5,2] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[1,7,3,2,6,4,5]=>[1,4,3,6,7,5,2] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[1,7,2,3,6,5,4]=>[1,3,4,7,6,5,2] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[1,7,2,3,6,4,5]=>[1,3,4,6,7,5,2] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[1,7,4,3,2,6,5]=>[1,5,4,3,7,6,2] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[1,7,4,2,3,6,5]=>[1,4,5,3,7,6,2] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[1,7,2,4,3,6,5]=>[1,3,5,4,7,6,2] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[1,7,3,2,4,6,5]=>[1,4,3,5,7,6,2] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[1,7,2,3,4,6,5]=>[1,3,4,5,7,6,2] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[1,7,5,4,3,2,6]=>[1,6,5,4,3,7,2] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[1,7,5,4,2,3,6]=>[1,5,6,4,3,7,2] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[1,7,5,2,4,3,6]=>[1,4,6,5,3,7,2] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[1,7,5,3,2,4,6]=>[1,5,4,6,3,7,2] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[1,7,5,2,3,4,6]=>[1,4,5,6,3,7,2] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[1,7,2,5,4,3,6]=>[1,3,6,5,4,7,2] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[1,7,2,5,3,4,6]=>[1,3,5,6,4,7,2] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[1,7,3,2,5,4,6]=>[1,4,3,6,5,7,2] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[1,7,2,3,5,4,6]=>[1,3,4,6,5,7,2] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[1,7,4,3,2,5,6]=>[1,5,4,3,6,7,2] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[1,7,4,2,3,5,6]=>[1,4,5,3,6,7,2] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[1,7,2,4,3,5,6]=>[1,3,5,4,6,7,2] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[1,7,3,2,4,5,6]=>[1,4,3,5,6,7,2] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[1,7,2,3,4,5,6]=>[1,3,4,5,6,7,2] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[1,2,7,6,5,3,4]=>[1,2,6,7,5,4,3] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[1,2,7,6,3,5,4]=>[1,2,5,7,6,4,3] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[1,2,7,6,4,3,5]=>[1,2,6,5,7,4,3] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[1,2,7,6,3,4,5]=>[1,2,5,6,7,4,3] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[1,2,7,3,6,5,4]=>[1,2,4,7,6,5,3] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[1,2,7,3,6,4,5]=>[1,2,4,6,7,5,3] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[1,2,7,4,3,6,5]=>[1,2,5,4,7,6,3] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[1,2,7,3,4,6,5]=>[1,2,4,5,7,6,3] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[1,2,7,5,4,3,6]=>[1,2,6,5,4,7,3] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[1,2,7,5,3,4,6]=>[1,2,5,6,4,7,3] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[1,2,7,3,5,4,6]=>[1,2,4,6,5,7,3] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[1,2,7,4,3,5,6]=>[1,2,5,4,6,7,3] [.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[1,2,7,3,4,5,6]=>[1,2,4,5,6,7,3] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[1,3,2,7,6,4,5]=>[1,3,2,6,7,5,4] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[1,3,2,7,4,6,5]=>[1,3,2,5,7,6,4] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[1,3,2,7,5,4,6]=>[1,3,2,6,5,7,4] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[1,3,2,7,4,5,6]=>[1,3,2,5,6,7,4] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[1,2,3,7,6,4,5]=>[1,2,3,6,7,5,4] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[1,2,3,7,4,6,5]=>[1,2,3,5,7,6,4] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[1,2,3,7,5,4,6]=>[1,2,3,6,5,7,4] [.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[1,2,3,7,4,5,6]=>[1,2,3,5,6,7,4] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[1,4,3,2,7,5,6]=>[1,4,3,2,6,7,5] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[1,4,2,3,7,6,5]=>[1,3,4,2,7,6,5] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[1,4,2,3,7,5,6]=>[1,3,4,2,6,7,5] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[1,2,4,3,7,5,6]=>[1,2,4,3,6,7,5] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[1,3,2,4,7,5,6]=>[1,3,2,4,6,7,5] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5] [.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[1,2,3,4,7,5,6]=>[1,2,3,4,6,7,5] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[1,5,4,2,3,7,6]=>[1,4,5,3,2,7,6] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[1,5,2,4,3,7,6]=>[1,3,5,4,2,7,6] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[1,5,3,2,4,7,6]=>[1,4,3,5,2,7,6] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[1,5,2,3,4,7,6]=>[1,3,4,5,2,7,6] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[1,2,5,3,4,7,6]=>[1,2,4,5,3,7,6] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[1,4,2,3,5,7,6]=>[1,3,4,2,5,7,6] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[1,6,5,4,2,3,7]=>[1,5,6,4,3,2,7] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[1,6,5,2,4,3,7]=>[1,4,6,5,3,2,7] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[1,6,5,3,2,4,7]=>[1,5,4,6,3,2,7] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[1,6,5,2,3,4,7]=>[1,4,5,6,3,2,7] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[1,6,2,5,4,3,7]=>[1,3,6,5,4,2,7] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[1,6,2,5,3,4,7]=>[1,3,5,6,4,2,7] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[1,6,3,2,5,4,7]=>[1,4,3,6,5,2,7] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[1,6,2,3,5,4,7]=>[1,3,4,6,5,2,7] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[1,6,4,3,2,5,7]=>[1,5,4,3,6,2,7] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[1,6,4,2,3,5,7]=>[1,4,5,3,6,2,7] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[1,6,2,4,3,5,7]=>[1,3,5,4,6,2,7] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[1,6,3,2,4,5,7]=>[1,4,3,5,6,2,7] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[1,6,2,3,4,5,7]=>[1,3,4,5,6,2,7] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[1,2,6,5,3,4,7]=>[1,2,5,6,4,3,7] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[1,2,6,3,5,4,7]=>[1,2,4,6,5,3,7] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[1,2,6,4,3,5,7]=>[1,2,5,4,6,3,7] [.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[1,2,6,3,4,5,7]=>[1,2,4,5,6,3,7] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[1,3,2,6,4,5,7]=>[1,3,2,5,6,4,7] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7] [.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[1,2,3,6,4,5,7]=>[1,2,3,5,6,4,7] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[1,4,2,3,6,5,7]=>[1,3,4,2,6,5,7] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] [.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[1,5,4,2,3,6,7]=>[1,4,5,3,2,6,7] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[1,5,2,4,3,6,7]=>[1,3,5,4,2,6,7] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[1,5,3,2,4,6,7]=>[1,4,3,5,2,6,7] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[1,5,2,3,4,6,7]=>[1,3,4,5,2,6,7] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7] [.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[1,2,5,3,4,6,7]=>[1,2,4,5,3,6,7] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7] [.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[1,4,2,3,5,6,7]=>[1,3,4,2,5,6,7] [.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7] [.,[[[[[[.,.],.],.],.],.],.]]=>[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]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[2,1,7,6,5,3,4]=>[2,1,6,7,5,4,3] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[2,1,7,6,3,5,4]=>[2,1,5,7,6,4,3] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[2,1,7,6,4,3,5]=>[2,1,6,5,7,4,3] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[2,1,7,6,3,4,5]=>[2,1,5,6,7,4,3] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[2,1,7,3,6,5,4]=>[2,1,4,7,6,5,3] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[2,1,7,3,6,4,5]=>[2,1,4,6,7,5,3] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[2,1,7,4,3,6,5]=>[2,1,5,4,7,6,3] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[2,1,7,3,4,6,5]=>[2,1,4,5,7,6,3] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[2,1,7,5,4,3,6]=>[2,1,6,5,4,7,3] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[2,1,7,5,3,4,6]=>[2,1,5,6,4,7,3] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[2,1,7,3,5,4,6]=>[2,1,4,6,5,7,3] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[2,1,7,4,3,5,6]=>[2,1,5,4,6,7,3] [[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[2,1,7,3,4,5,6]=>[2,1,4,5,6,7,3] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[2,1,3,7,6,4,5]=>[2,1,3,6,7,5,4] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[2,1,3,7,4,6,5]=>[2,1,3,5,7,6,4] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[2,1,3,7,5,4,6]=>[2,1,3,6,5,7,4] [[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[2,1,3,7,4,5,6]=>[2,1,3,5,6,7,4] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[2,1,4,3,7,5,6]=>[2,1,4,3,6,7,5] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5] [[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[2,1,3,4,7,5,6]=>[2,1,3,4,6,7,5] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[2,1,5,3,4,7,6]=>[2,1,4,5,3,7,6] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[2,1,6,5,3,4,7]=>[2,1,5,6,4,3,7] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[2,1,6,3,5,4,7]=>[2,1,4,6,5,3,7] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[2,1,6,4,3,5,7]=>[2,1,5,4,6,3,7] [[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[2,1,6,3,4,5,7]=>[2,1,4,5,6,3,7] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7] [[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[2,1,3,6,4,5,7]=>[2,1,3,5,6,4,7] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7] [[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7] [[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[2,1,5,3,4,6,7]=>[2,1,4,5,3,6,7] [[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7] [[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7] [[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[3,2,1,7,6,4,5]=>[3,2,1,6,7,5,4] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[3,2,1,7,4,6,5]=>[3,2,1,5,7,6,4] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[3,2,1,7,5,4,6]=>[3,2,1,6,5,7,4] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[3,2,1,7,4,5,6]=>[3,2,1,5,6,7,4] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[3,2,1,4,7,5,6]=>[3,2,1,4,6,7,5] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[3,2,1,6,4,5,7]=>[3,2,1,5,6,4,7] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7] [[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[2,3,1,7,6,5,4]=>[2,3,1,7,6,5,4] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[2,3,1,7,6,4,5]=>[2,3,1,6,7,5,4] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[2,3,1,7,4,6,5]=>[2,3,1,5,7,6,4] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[2,3,1,7,5,4,6]=>[2,3,1,6,5,7,4] [[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[2,3,1,7,4,5,6]=>[2,3,1,5,6,7,4] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[2,3,1,4,7,6,5]=>[2,3,1,4,7,6,5] [[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[2,3,1,4,7,5,6]=>[2,3,1,4,6,7,5] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[2,3,1,5,4,7,6]=>[2,3,1,5,4,7,6] [[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[2,3,1,4,5,7,6]=>[2,3,1,4,5,7,6] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[2,3,1,6,5,4,7]=>[2,3,1,6,5,4,7] [[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[2,3,1,6,4,5,7]=>[2,3,1,5,6,4,7] [[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[2,3,1,4,6,5,7]=>[2,3,1,4,6,5,7] [[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[2,3,1,5,4,6,7]=>[2,3,1,5,4,6,7] [[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[4,3,2,1,7,5,6]=>[4,3,2,1,6,7,5] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[4,2,3,1,7,6,5]=>[3,4,2,1,7,6,5] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[4,2,3,1,7,5,6]=>[3,4,2,1,6,7,5] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[4,2,3,1,5,7,6]=>[3,4,2,1,5,7,6] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[4,2,3,1,6,5,7]=>[3,4,2,1,6,5,7] [[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[4,2,3,1,5,6,7]=>[3,4,2,1,5,6,7] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[2,4,3,1,7,6,5]=>[2,4,3,1,7,6,5] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[2,4,3,1,7,5,6]=>[2,4,3,1,6,7,5] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[2,4,3,1,5,7,6]=>[2,4,3,1,5,7,6] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[2,4,3,1,6,5,7]=>[2,4,3,1,6,5,7] [[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[2,4,3,1,5,6,7]=>[2,4,3,1,5,6,7] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[3,2,4,1,7,6,5]=>[3,2,4,1,7,6,5] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[3,2,4,1,7,5,6]=>[3,2,4,1,6,7,5] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[3,2,4,1,5,7,6]=>[3,2,4,1,5,7,6] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[3,2,4,1,6,5,7]=>[3,2,4,1,6,5,7] [[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[3,2,4,1,5,6,7]=>[3,2,4,1,5,6,7] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[2,3,4,1,7,6,5]=>[2,3,4,1,7,6,5] [[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[2,3,4,1,7,5,6]=>[2,3,4,1,6,7,5] [[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[2,3,4,1,5,7,6]=>[2,3,4,1,5,7,6] [[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[2,3,4,1,6,5,7]=>[2,3,4,1,6,5,7] [[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[5,4,2,3,1,7,6]=>[4,5,3,2,1,7,6] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[5,4,2,3,1,6,7]=>[4,5,3,2,1,6,7] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[5,2,4,3,1,7,6]=>[3,5,4,2,1,7,6] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[5,2,4,3,1,6,7]=>[3,5,4,2,1,6,7] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[5,3,2,4,1,7,6]=>[4,3,5,2,1,7,6] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[5,3,2,4,1,6,7]=>[4,3,5,2,1,6,7] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[5,2,3,4,1,7,6]=>[3,4,5,2,1,7,6] [[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[5,2,3,4,1,6,7]=>[3,4,5,2,1,6,7] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[2,5,4,3,1,7,6]=>[2,5,4,3,1,7,6] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[2,5,4,3,1,6,7]=>[2,5,4,3,1,6,7] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[2,5,3,4,1,7,6]=>[2,4,5,3,1,7,6] [[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[2,5,3,4,1,6,7]=>[2,4,5,3,1,6,7] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[3,2,5,4,1,7,6]=>[3,2,5,4,1,7,6] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[3,2,5,4,1,6,7]=>[3,2,5,4,1,6,7] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[2,3,5,4,1,7,6]=>[2,3,5,4,1,7,6] [[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[2,3,5,4,1,6,7]=>[2,3,5,4,1,6,7] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[4,3,2,5,1,7,6]=>[4,3,2,5,1,7,6] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[4,3,2,5,1,6,7]=>[4,3,2,5,1,6,7] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[4,2,3,5,1,7,6]=>[3,4,2,5,1,7,6] [[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[4,2,3,5,1,6,7]=>[3,4,2,5,1,6,7] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[2,4,3,5,1,7,6]=>[2,4,3,5,1,7,6] [[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[2,4,3,5,1,6,7]=>[2,4,3,5,1,6,7] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[3,2,4,5,1,7,6]=>[3,2,4,5,1,7,6] [[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[3,2,4,5,1,6,7]=>[3,2,4,5,1,6,7] [[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[2,3,4,5,1,7,6]=>[2,3,4,5,1,7,6] [[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[2,3,4,5,1,6,7]=>[2,3,4,5,1,6,7] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[6,5,4,2,3,1,7]=>[5,6,4,3,2,1,7] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[6,5,2,4,3,1,7]=>[4,6,5,3,2,1,7] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[6,5,3,2,4,1,7]=>[5,4,6,3,2,1,7] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[6,5,2,3,4,1,7]=>[4,5,6,3,2,1,7] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[6,2,5,4,3,1,7]=>[3,6,5,4,2,1,7] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[6,2,5,3,4,1,7]=>[3,5,6,4,2,1,7] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[6,3,2,5,4,1,7]=>[4,3,6,5,2,1,7] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[6,2,3,5,4,1,7]=>[3,4,6,5,2,1,7] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[6,4,3,2,5,1,7]=>[5,4,3,6,2,1,7] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[6,4,2,3,5,1,7]=>[4,5,3,6,2,1,7] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[6,2,4,3,5,1,7]=>[3,5,4,6,2,1,7] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[6,3,2,4,5,1,7]=>[4,3,5,6,2,1,7] [[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[6,2,3,4,5,1,7]=>[3,4,5,6,2,1,7] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[2,6,5,4,3,1,7]=>[2,6,5,4,3,1,7] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[2,6,5,3,4,1,7]=>[2,5,6,4,3,1,7] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[2,6,3,5,4,1,7]=>[2,4,6,5,3,1,7] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[2,6,4,3,5,1,7]=>[2,5,4,6,3,1,7] [[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[2,6,3,4,5,1,7]=>[2,4,5,6,3,1,7] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[3,2,6,5,4,1,7]=>[3,2,6,5,4,1,7] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[3,2,6,4,5,1,7]=>[3,2,5,6,4,1,7] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[2,3,6,5,4,1,7]=>[2,3,6,5,4,1,7] [[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[2,3,6,4,5,1,7]=>[2,3,5,6,4,1,7] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[4,3,2,6,5,1,7]=>[4,3,2,6,5,1,7] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[4,2,3,6,5,1,7]=>[3,4,2,6,5,1,7] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[2,4,3,6,5,1,7]=>[2,4,3,6,5,1,7] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[3,2,4,6,5,1,7]=>[3,2,4,6,5,1,7] [[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[2,3,4,6,5,1,7]=>[2,3,4,6,5,1,7] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[5,4,3,2,6,1,7]=>[5,4,3,2,6,1,7] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[5,4,2,3,6,1,7]=>[4,5,3,2,6,1,7] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[5,2,4,3,6,1,7]=>[3,5,4,2,6,1,7] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[5,3,2,4,6,1,7]=>[4,3,5,2,6,1,7] [[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[5,2,3,4,6,1,7]=>[3,4,5,2,6,1,7] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[2,5,4,3,6,1,7]=>[2,5,4,3,6,1,7] [[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[2,5,3,4,6,1,7]=>[2,4,5,3,6,1,7] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[3,2,5,4,6,1,7]=>[3,2,5,4,6,1,7] [[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[2,3,5,4,6,1,7]=>[2,3,5,4,6,1,7] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[4,3,2,5,6,1,7]=>[4,3,2,5,6,1,7] [[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[4,2,3,5,6,1,7]=>[3,4,2,5,6,1,7] [[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[2,4,3,5,6,1,7]=>[2,4,3,5,6,1,7] [[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[3,2,4,5,6,1,7]=>[3,2,4,5,6,1,7] [[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[2,3,4,5,6,1,7]=>[2,3,4,5,6,1,7] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[7,6,5,4,2,3,1]=>[6,7,5,4,3,2,1] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[7,6,5,2,4,3,1]=>[5,7,6,4,3,2,1] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[7,6,5,3,2,4,1]=>[6,5,7,4,3,2,1] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[7,6,5,2,3,4,1]=>[5,6,7,4,3,2,1] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[7,6,2,5,4,3,1]=>[4,7,6,5,3,2,1] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[7,6,2,5,3,4,1]=>[4,6,7,5,3,2,1] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[7,6,3,2,5,4,1]=>[5,4,7,6,3,2,1] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[7,6,2,3,5,4,1]=>[4,5,7,6,3,2,1] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[7,6,4,3,2,5,1]=>[6,5,4,7,3,2,1] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[7,6,4,2,3,5,1]=>[5,6,4,7,3,2,1] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[7,6,2,4,3,5,1]=>[4,6,5,7,3,2,1] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[7,6,3,2,4,5,1]=>[5,4,6,7,3,2,1] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[7,6,2,3,4,5,1]=>[4,5,6,7,3,2,1] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[7,2,6,5,4,3,1]=>[3,7,6,5,4,2,1] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[7,2,6,5,3,4,1]=>[3,6,7,5,4,2,1] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[7,2,6,3,5,4,1]=>[3,5,7,6,4,2,1] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[7,2,6,4,3,5,1]=>[3,6,5,7,4,2,1] [[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[7,2,6,3,4,5,1]=>[3,5,6,7,4,2,1] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[7,3,2,6,5,4,1]=>[4,3,7,6,5,2,1] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[7,3,2,6,4,5,1]=>[4,3,6,7,5,2,1] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[7,2,3,6,5,4,1]=>[3,4,7,6,5,2,1] [[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[7,2,3,6,4,5,1]=>[3,4,6,7,5,2,1] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[7,4,3,2,6,5,1]=>[5,4,3,7,6,2,1] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[7,4,2,3,6,5,1]=>[4,5,3,7,6,2,1] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[7,2,4,3,6,5,1]=>[3,5,4,7,6,2,1] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[7,3,2,4,6,5,1]=>[4,3,5,7,6,2,1] [[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[7,2,3,4,6,5,1]=>[3,4,5,7,6,2,1] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[7,5,4,3,2,6,1]=>[6,5,4,3,7,2,1] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[7,5,4,2,3,6,1]=>[5,6,4,3,7,2,1] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[7,5,2,4,3,6,1]=>[4,6,5,3,7,2,1] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[7,5,3,2,4,6,1]=>[5,4,6,3,7,2,1] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[7,5,2,3,4,6,1]=>[4,5,6,3,7,2,1] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[7,2,5,4,3,6,1]=>[3,6,5,4,7,2,1] [[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[7,2,5,3,4,6,1]=>[3,5,6,4,7,2,1] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[7,3,2,5,4,6,1]=>[4,3,6,5,7,2,1] [[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[7,2,3,5,4,6,1]=>[3,4,6,5,7,2,1] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[7,4,3,2,5,6,1]=>[5,4,3,6,7,2,1] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[7,4,2,3,5,6,1]=>[4,5,3,6,7,2,1] [[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[7,2,4,3,5,6,1]=>[3,5,4,6,7,2,1] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[7,3,2,4,5,6,1]=>[4,3,5,6,7,2,1] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[7,2,3,4,5,6,1]=>[3,4,5,6,7,2,1] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[2,7,6,5,4,3,1]=>[2,7,6,5,4,3,1] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[2,7,6,5,3,4,1]=>[2,6,7,5,4,3,1] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[2,7,6,3,5,4,1]=>[2,5,7,6,4,3,1] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[2,7,6,4,3,5,1]=>[2,6,5,7,4,3,1] [[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[2,7,6,3,4,5,1]=>[2,5,6,7,4,3,1] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[2,7,3,6,5,4,1]=>[2,4,7,6,5,3,1] [[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[2,7,3,6,4,5,1]=>[2,4,6,7,5,3,1] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[2,7,4,3,6,5,1]=>[2,5,4,7,6,3,1] [[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[2,7,3,4,6,5,1]=>[2,4,5,7,6,3,1] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[2,7,5,4,3,6,1]=>[2,6,5,4,7,3,1] [[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[2,7,5,3,4,6,1]=>[2,5,6,4,7,3,1] [[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[2,7,3,5,4,6,1]=>[2,4,6,5,7,3,1] [[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[2,7,4,3,5,6,1]=>[2,5,4,6,7,3,1] [[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[2,7,3,4,5,6,1]=>[2,4,5,6,7,3,1] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[3,2,7,6,5,4,1]=>[3,2,7,6,5,4,1] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[3,2,7,6,4,5,1]=>[3,2,6,7,5,4,1] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[3,2,7,4,6,5,1]=>[3,2,5,7,6,4,1] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[3,2,7,5,4,6,1]=>[3,2,6,5,7,4,1] [[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[3,2,7,4,5,6,1]=>[3,2,5,6,7,4,1] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[2,3,7,6,5,4,1]=>[2,3,7,6,5,4,1] [[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[2,3,7,6,4,5,1]=>[2,3,6,7,5,4,1] [[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[2,3,7,4,6,5,1]=>[2,3,5,7,6,4,1] [[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[2,3,7,5,4,6,1]=>[2,3,6,5,7,4,1] [[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[2,3,7,4,5,6,1]=>[2,3,5,6,7,4,1] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[4,3,2,7,6,5,1]=>[4,3,2,7,6,5,1] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[4,3,2,7,5,6,1]=>[4,3,2,6,7,5,1] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[4,2,3,7,6,5,1]=>[3,4,2,7,6,5,1] [[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[4,2,3,7,5,6,1]=>[3,4,2,6,7,5,1] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[2,4,3,7,6,5,1]=>[2,4,3,7,6,5,1] [[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[2,4,3,7,5,6,1]=>[2,4,3,6,7,5,1] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[3,2,4,7,6,5,1]=>[3,2,4,7,6,5,1] [[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[3,2,4,7,5,6,1]=>[3,2,4,6,7,5,1] [[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[2,3,4,7,6,5,1]=>[2,3,4,7,6,5,1] [[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[2,3,4,7,5,6,1]=>[2,3,4,6,7,5,1] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[5,4,3,2,7,6,1]=>[5,4,3,2,7,6,1] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[5,4,2,3,7,6,1]=>[4,5,3,2,7,6,1] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[5,2,4,3,7,6,1]=>[3,5,4,2,7,6,1] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[5,3,2,4,7,6,1]=>[4,3,5,2,7,6,1] [[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[5,2,3,4,7,6,1]=>[3,4,5,2,7,6,1] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[2,5,4,3,7,6,1]=>[2,5,4,3,7,6,1] [[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[2,5,3,4,7,6,1]=>[2,4,5,3,7,6,1] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[3,2,5,4,7,6,1]=>[3,2,5,4,7,6,1] [[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[2,3,5,4,7,6,1]=>[2,3,5,4,7,6,1] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[4,3,2,5,7,6,1]=>[4,3,2,5,7,6,1] [[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[4,2,3,5,7,6,1]=>[3,4,2,5,7,6,1] [[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[2,4,3,5,7,6,1]=>[2,4,3,5,7,6,1] [[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[3,2,4,5,7,6,1]=>[3,2,4,5,7,6,1] [[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[2,3,4,5,7,6,1]=>[2,3,4,5,7,6,1] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[6,5,4,2,3,7,1]=>[5,6,4,3,2,7,1] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[6,5,2,4,3,7,1]=>[4,6,5,3,2,7,1] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[6,5,3,2,4,7,1]=>[5,4,6,3,2,7,1] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[6,5,2,3,4,7,1]=>[4,5,6,3,2,7,1] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[6,2,5,4,3,7,1]=>[3,6,5,4,2,7,1] [[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[6,2,5,3,4,7,1]=>[3,5,6,4,2,7,1] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[6,3,2,5,4,7,1]=>[4,3,6,5,2,7,1] [[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[6,2,3,5,4,7,1]=>[3,4,6,5,2,7,1] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[6,4,3,2,5,7,1]=>[5,4,3,6,2,7,1] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[6,4,2,3,5,7,1]=>[4,5,3,6,2,7,1] [[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[6,2,4,3,5,7,1]=>[3,5,4,6,2,7,1] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[6,3,2,4,5,7,1]=>[4,3,5,6,2,7,1] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[6,2,3,4,5,7,1]=>[3,4,5,6,2,7,1] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[2,6,5,4,3,7,1]=>[2,6,5,4,3,7,1] [[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[2,6,5,3,4,7,1]=>[2,5,6,4,3,7,1] [[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[2,6,3,5,4,7,1]=>[2,4,6,5,3,7,1] [[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[2,6,4,3,5,7,1]=>[2,5,4,6,3,7,1] [[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[2,6,3,4,5,7,1]=>[2,4,5,6,3,7,1] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[3,2,6,5,4,7,1]=>[3,2,6,5,4,7,1] [[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[3,2,6,4,5,7,1]=>[3,2,5,6,4,7,1] [[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[2,3,6,5,4,7,1]=>[2,3,6,5,4,7,1] [[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[2,3,6,4,5,7,1]=>[2,3,5,6,4,7,1] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[4,3,2,6,5,7,1]=>[4,3,2,6,5,7,1] [[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[4,2,3,6,5,7,1]=>[3,4,2,6,5,7,1] [[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[2,4,3,6,5,7,1]=>[2,4,3,6,5,7,1] [[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[3,2,4,6,5,7,1]=>[3,2,4,6,5,7,1] [[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[2,3,4,6,5,7,1]=>[2,3,4,6,5,7,1] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[5,4,2,3,6,7,1]=>[4,5,3,2,6,7,1] [[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[5,2,4,3,6,7,1]=>[3,5,4,2,6,7,1] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[5,3,2,4,6,7,1]=>[4,3,5,2,6,7,1] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[5,2,3,4,6,7,1]=>[3,4,5,2,6,7,1] [[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[2,5,4,3,6,7,1]=>[2,5,4,3,6,7,1] [[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[2,5,3,4,6,7,1]=>[2,4,5,3,6,7,1] [[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[3,2,5,4,6,7,1]=>[3,2,5,4,6,7,1] [[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[2,3,5,4,6,7,1]=>[2,3,5,4,6,7,1] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[4,3,2,5,6,7,1]=>[4,3,2,5,6,7,1] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[4,2,3,5,6,7,1]=>[3,4,2,5,6,7,1] [[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[2,4,3,5,6,7,1]=>[2,4,3,5,6,7,1] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1] [[[[[[[.,.],.],.],.],.],.],.]=>[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]=>[1,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[1,8,7,6,2,3,4,5]=>[1,5,6,7,8,4,3,2] [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[4,3,2,8,7,6,5,1]=>[1,4,3,2,8,7,6,5]=>[1,4,3,2,8,7,6,5] [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[3,4,2,8,7,6,5,1]=>[1,4,2,3,8,7,6,5]=>[1,3,4,2,8,7,6,5] [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[3,2,4,8,7,6,5,1]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,7,6,5] [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[2,3,4,8,7,6,5,1]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,7,6,5] [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[4,3,2,7,6,5,8,1]=>[1,4,3,2,7,6,5,8]=>[1,4,3,2,7,6,5,8] [.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[2,4,3,6,5,7,8,1]=>[1,2,4,3,6,5,7,8]=>[1,2,4,3,6,5,7,8] [.,[[[[[[[.,.],.],.],.],.],.],.]]=>[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]=>[2,1,8,7,6,5,4,3]=>[2,1,8,7,6,5,4,3] [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[1,6,7,8,5,4,3,2]=>[2,1,8,7,6,3,4,5]=>[2,1,6,7,8,5,4,3] [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[1,6,5,8,7,4,3,2]=>[2,1,8,7,4,3,6,5]=>[2,1,6,5,8,7,4,3] [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[1,6,7,5,8,4,3,2]=>[2,1,8,7,5,3,4,6]=>[2,1,6,7,5,8,4,3] [[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[1,4,5,6,7,8,3,2]=>[2,1,8,3,4,5,6,7]=>[2,1,4,5,6,7,8,3] [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5] [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[1,4,3,7,8,6,5,2]=>[2,1,4,3,8,7,5,6]=>[2,1,4,3,7,8,6,5] [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[1,4,3,6,8,7,5,2]=>[2,1,4,3,8,5,7,6]=>[2,1,4,3,6,8,7,5] [[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[1,4,3,6,7,8,5,2]=>[2,1,4,3,8,5,6,7]=>[2,1,4,3,6,7,8,5] [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[1,3,4,8,7,6,5,2]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,7,6,5] [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[1,6,5,4,3,8,7,2]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,8,7] [[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[1,5,6,4,3,8,7,2]=>[2,1,6,5,3,4,8,7]=>[2,1,5,6,4,3,8,7] [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7] [[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[1,3,4,5,6,8,7,2]=>[2,1,3,4,5,6,8,7]=>[2,1,3,4,5,6,8,7] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[3,2,1,8,7,6,5,4]=>[3,2,1,8,7,6,5,4] [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[3,2,1,8,7,4,5,6]=>[3,2,1,6,7,8,5,4] [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[2,1,4,8,7,6,5,3]=>[3,2,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5] [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[2,1,4,5,8,7,6,3]=>[3,2,1,4,5,8,7,6]=>[3,2,1,4,5,8,7,6] [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[1,2,4,8,7,6,5,3]=>[2,3,1,4,8,7,6,5]=>[2,3,1,4,8,7,6,5] [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5] [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[3,2,1,7,8,6,5,4]=>[4,3,2,1,8,7,5,6]=>[4,3,2,1,7,8,6,5] [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[3,2,1,6,8,7,5,4]=>[4,3,2,1,8,5,7,6]=>[4,3,2,1,6,8,7,5] [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[3,2,1,7,6,8,5,4]=>[4,3,2,1,8,6,5,7]=>[4,3,2,1,7,6,8,5] [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[3,2,1,6,7,8,5,4]=>[4,3,2,1,8,5,6,7]=>[4,3,2,1,6,7,8,5] [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[3,2,1,5,8,7,6,4]=>[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6] [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[3,2,1,5,7,8,6,4]=>[4,3,2,1,5,8,6,7]=>[4,3,2,1,5,7,8,6] [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[3,2,1,6,5,8,7,4]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7] [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[3,2,1,5,6,8,7,4]=>[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7] [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[3,2,1,7,6,5,8,4]=>[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5,8] [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[3,2,1,6,7,5,8,4]=>[4,3,2,1,7,5,6,8]=>[4,3,2,1,6,7,5,8] [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[3,2,1,5,7,6,8,4]=>[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6,8] [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[3,2,1,6,5,7,8,4]=>[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7,8] [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[3,2,1,5,6,7,8,4]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8] [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[2,3,1,8,7,6,5,4]=>[4,2,3,1,8,7,6,5]=>[3,4,2,1,8,7,6,5] [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[1,3,2,8,7,6,5,4]=>[2,4,3,1,8,7,6,5]=>[2,4,3,1,8,7,6,5] [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[1,3,2,6,8,7,5,4]=>[2,4,3,1,8,5,7,6]=>[2,4,3,1,6,8,7,5] [[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[1,3,2,6,7,8,5,4]=>[2,4,3,1,8,5,6,7]=>[2,4,3,1,6,7,8,5] [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[2,1,3,8,7,6,5,4]=>[3,2,4,1,8,7,6,5]=>[3,2,4,1,8,7,6,5] [[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[2,1,3,6,5,8,7,4]=>[3,2,4,1,6,5,8,7]=>[3,2,4,1,6,5,8,7] [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,8,7,6,5,4]=>[2,3,4,1,8,7,6,5]=>[2,3,4,1,8,7,6,5] [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[1,2,3,6,8,7,5,4]=>[2,3,4,1,8,5,7,6]=>[2,3,4,1,6,8,7,5] [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[1,2,3,6,5,8,7,4]=>[2,3,4,1,6,5,8,7]=>[2,3,4,1,6,5,8,7] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,8,7,6] [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[5,4,2,3,1,8,6,7]=>[4,5,3,2,1,7,8,6] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[3,2,5,4,1,8,7,6]=>[3,2,5,4,1,8,7,6] [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[3,2,5,4,1,8,6,7]=>[3,2,5,4,1,7,8,6] [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[5,4,3,2,1,8,7,6]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,8,7] [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[6,3,2,5,4,1,8,7]=>[4,3,6,5,2,1,8,7] [[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[1,2,4,5,3,8,7,6]=>[2,3,6,4,5,1,8,7]=>[2,3,5,6,4,1,8,7] [[[[.,[.,.]],[.,.]],.],[.,[.,.]]]=>[2,1,4,3,5,8,7,6]=>[3,2,5,4,6,1,8,7]=>[3,2,5,4,6,1,8,7] [[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[1,2,3,4,5,8,7,6]=>[2,3,4,5,6,1,8,7]=>[2,3,4,5,6,1,8,7] [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8] [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[7,6,5,2,3,4,1,8]=>[5,6,7,4,3,2,1,8] [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[3,2,7,6,5,4,1,8]=>[3,2,7,6,5,4,1,8] [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[2,1,5,6,4,3,8,7]=>[3,2,7,6,4,5,1,8]=>[3,2,6,7,5,4,1,8] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[5,4,3,2,7,6,1,8]=>[5,4,3,2,7,6,1,8] [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[5,4,2,3,7,6,1,8]=>[4,5,3,2,7,6,1,8] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[3,2,5,4,7,6,1,8]=>[3,2,5,4,7,6,1,8] [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[3,2,7,6,5,4,1,8]=>[8,3,2,7,6,5,4,1]=>[4,3,8,7,6,5,2,1] [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[5,4,3,2,7,6,1,8]=>[8,5,4,3,2,7,6,1]=>[6,5,4,3,8,7,2,1] [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,1,8]=>[8,3,2,5,4,7,6,1]=>[4,3,6,5,8,7,2,1] [[[[[.,.],.],.],[[[.,.],.],.]],.]=>[1,2,3,5,6,7,4,8]=>[2,3,4,8,5,6,7,1]=>[2,3,4,6,7,8,5,1] [[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[2,1,4,3,6,5,7,8]=>[3,2,5,4,7,6,8,1]=>[3,2,5,4,7,6,8,1] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[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
Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $\pi^{-1}c$ 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.