Identifier
Mp00014: Binary trees —to 132-avoiding permutation⟶ Permutations
Mp00252: Permutations —restriction⟶ Permutations
Mp00235: Permutations —descent views to invisible inversion bottoms⟶ Permutations
Images
=>
Cc0010;cc-rep-0
[.,[.,.]]=>[2,1]=>[1]=>[1] [[.,.],.]=>[1,2]=>[1]=>[1] [.,[.,[.,.]]]=>[3,2,1]=>[2,1]=>[2,1] [.,[[.,.],.]]=>[2,3,1]=>[2,1]=>[2,1] [[.,.],[.,.]]=>[3,1,2]=>[1,2]=>[1,2] [[.,[.,.]],.]=>[2,1,3]=>[2,1]=>[2,1] [[[.,.],.],.]=>[1,2,3]=>[1,2]=>[1,2] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[3,2,1]=>[2,3,1] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[3,2,1]=>[2,3,1] [.,[[.,.],[.,.]]]=>[4,2,3,1]=>[2,3,1]=>[3,2,1] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[3,2,1]=>[2,3,1] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[2,3,1]=>[3,2,1] [[.,.],[.,[.,.]]]=>[4,3,1,2]=>[3,1,2]=>[3,1,2] [[.,.],[[.,.],.]]=>[3,4,1,2]=>[3,1,2]=>[3,1,2] [[.,[.,.]],[.,.]]=>[4,2,1,3]=>[2,1,3]=>[2,1,3] [[[.,.],.],[.,.]]=>[4,1,2,3]=>[1,2,3]=>[1,2,3] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1]=>[2,3,1] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[2,3,1]=>[3,2,1] [[[.,.],[.,.]],.]=>[3,1,2,4]=>[3,1,2]=>[3,1,2] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,1,3]=>[2,1,3] [[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3]=>[1,2,3] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[4,3,2,1]=>[2,3,4,1] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[4,3,2,1]=>[2,3,4,1] [.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[3,4,2,1]=>[2,4,3,1] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[4,3,2,1]=>[2,3,4,1] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[3,4,2,1]=>[2,4,3,1] [.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[4,2,3,1]=>[3,4,2,1] [.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[4,2,3,1]=>[3,4,2,1] [.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[3,2,4,1]=>[4,3,2,1] [.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[2,3,4,1]=>[4,2,3,1] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[4,3,2,1]=>[2,3,4,1] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[3,4,2,1]=>[2,4,3,1] [.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[4,2,3,1]=>[3,4,2,1] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[3,2,4,1]=>[4,3,2,1] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[2,3,4,1]=>[4,2,3,1] [[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[4,3,1,2]=>[3,1,4,2] [[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[4,3,1,2]=>[3,1,4,2] [[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[3,4,1,2]=>[4,1,3,2] [[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[4,3,1,2]=>[3,1,4,2] [[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[3,4,1,2]=>[4,1,3,2] [[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[4,2,1,3]=>[2,4,1,3] [[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[4,2,1,3]=>[2,4,1,3] [[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[4,1,2,3]=>[4,1,2,3] [[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[4,1,2,3]=>[4,1,2,3] [[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[3,2,1,4]=>[2,3,1,4] [[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[2,3,1,4]=>[3,2,1,4] [[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[3,1,2,4]=>[3,1,2,4] [[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[2,1,3,4]=>[2,1,3,4] [[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[1,2,3,4]=>[1,2,3,4] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1]=>[2,3,4,1] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[3,4,2,1]=>[2,4,3,1] [[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[4,2,3,1]=>[3,4,2,1] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[3,2,4,1]=>[4,3,2,1] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[2,3,4,1]=>[4,2,3,1] [[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[4,3,1,2]=>[3,1,4,2] [[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[3,4,1,2]=>[4,1,3,2] [[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[4,2,1,3]=>[2,4,1,3] [[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[4,1,2,3]=>[4,1,2,3] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,2,1,4]=>[2,3,1,4] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[2,3,1,4]=>[3,2,1,4] [[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[3,1,2,4]=>[3,1,2,4] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,1,3,4]=>[2,1,3,4] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,2,3,4]=>[1,2,3,4] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1] [.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1] [.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1] [.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1] [.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1] [.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[5,4,3,2,1]=>[2,3,4,5,1] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[4,5,3,2,1]=>[2,3,5,4,1] [.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[5,3,4,2,1]=>[2,4,5,3,1] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[3,4,5,2,1]=>[2,5,3,4,1] [.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1] [.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1] [.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1] [.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[5,4,2,3,1]=>[3,4,2,5,1] [.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[4,5,2,3,1]=>[3,5,2,4,1] [.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1] [.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[5,3,2,4,1]=>[4,3,5,2,1] [.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1] [.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[5,2,3,4,1]=>[4,5,2,3,1] [.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1] [.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1] [.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[4,2,3,5,1]=>[5,4,2,3,1] [.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1] [.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[2,3,4,5,1]=>[5,2,3,4,1] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[5,4,3,2,1]=>[2,3,4,5,1] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[4,5,3,2,1]=>[2,3,5,4,1] [.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[5,3,4,2,1]=>[2,4,5,3,1] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[4,3,5,2,1]=>[2,5,4,3,1] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[3,4,5,2,1]=>[2,5,3,4,1] [.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[5,4,2,3,1]=>[3,4,2,5,1] [.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[4,5,2,3,1]=>[3,5,2,4,1] [.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[5,3,2,4,1]=>[4,3,5,2,1] [.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[5,2,3,4,1]=>[4,5,2,3,1] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[4,3,2,5,1]=>[5,3,4,2,1] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[3,4,2,5,1]=>[5,4,3,2,1] [.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[4,2,3,5,1]=>[5,4,2,3,1] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[3,2,4,5,1]=>[5,3,2,4,1] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[2,3,4,5,1]=>[5,2,3,4,1] [[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2] [[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2] [[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2] [[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2] [[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2] [[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2] [[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2] [[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2] [[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2] [[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[5,4,3,1,2]=>[3,1,4,5,2] [[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[4,5,3,1,2]=>[3,1,5,4,2] [[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[5,3,4,1,2]=>[4,1,5,3,2] [[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[4,3,5,1,2]=>[5,1,4,3,2] [[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[3,4,5,1,2]=>[5,1,3,4,2] [[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3] [[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3] [[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3] [[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[5,4,2,1,3]=>[2,4,1,5,3] [[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[4,5,2,1,3]=>[2,5,1,4,3] [[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3] [[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3] [[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3] [[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[5,4,1,2,3]=>[4,1,2,5,3] [[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[4,5,1,2,3]=>[5,1,2,4,3] [[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4] [[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[5,3,2,1,4]=>[2,3,5,1,4] [[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4] [[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[5,2,3,1,4]=>[3,5,2,1,4] [[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4] [[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[5,3,1,2,4]=>[3,1,5,2,4] [[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4] [[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[5,2,1,3,4]=>[2,5,1,3,4] [[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4] [[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[5,1,2,3,4]=>[5,1,2,3,4] [[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,1,5] [[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[3,4,2,1,5]=>[2,4,3,1,5] [[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[4,2,3,1,5]=>[3,4,2,1,5] [[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[3,2,4,1,5]=>[4,3,2,1,5] [[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[2,3,4,1,5]=>[4,2,3,1,5] [[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[4,3,1,2,5]=>[3,1,4,2,5] [[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[3,4,1,2,5]=>[4,1,3,2,5] [[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[4,2,1,3,5]=>[2,4,1,3,5] [[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[4,1,2,3,5]=>[4,1,2,3,5] [[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[3,2,1,4,5]=>[2,3,1,4,5] [[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[2,3,1,4,5]=>[3,2,1,4,5] [[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5] [[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5] [[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1]=>[2,3,4,5,1] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[4,5,3,2,1]=>[2,3,5,4,1] [[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[5,3,4,2,1]=>[2,4,5,3,1] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[4,3,5,2,1]=>[2,5,4,3,1] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[3,4,5,2,1]=>[2,5,3,4,1] [[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[5,4,2,3,1]=>[3,4,2,5,1] [[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[4,5,2,3,1]=>[3,5,2,4,1] [[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[5,3,2,4,1]=>[4,3,5,2,1] [[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[5,2,3,4,1]=>[4,5,2,3,1] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[4,3,2,5,1]=>[5,3,4,2,1] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[3,4,2,5,1]=>[5,4,3,2,1] [[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[4,2,3,5,1]=>[5,4,2,3,1] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[3,2,4,5,1]=>[5,3,2,4,1] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[2,3,4,5,1]=>[5,2,3,4,1] [[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[5,4,3,1,2]=>[3,1,4,5,2] [[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[4,5,3,1,2]=>[3,1,5,4,2] [[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[5,3,4,1,2]=>[4,1,5,3,2] [[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[4,3,5,1,2]=>[5,1,4,3,2] [[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[3,4,5,1,2]=>[5,1,3,4,2] [[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[5,4,2,1,3]=>[2,4,1,5,3] [[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[4,5,2,1,3]=>[2,5,1,4,3] [[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[5,4,1,2,3]=>[4,1,2,5,3] [[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[4,5,1,2,3]=>[5,1,2,4,3] [[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[5,3,2,1,4]=>[2,3,5,1,4] [[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[5,2,3,1,4]=>[3,5,2,1,4] [[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[5,3,1,2,4]=>[3,1,5,2,4] [[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[5,2,1,3,4]=>[2,5,1,3,4] [[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[5,1,2,3,4]=>[5,1,2,3,4] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,3,2,1,5]=>[2,3,4,1,5] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[3,4,2,1,5]=>[2,4,3,1,5] [[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[4,2,3,1,5]=>[3,4,2,1,5] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[3,2,4,1,5]=>[4,3,2,1,5] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[2,3,4,1,5]=>[4,2,3,1,5] [[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[4,3,1,2,5]=>[3,1,4,2,5] [[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[3,4,1,2,5]=>[4,1,3,2,5] [[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[4,2,1,3,5]=>[2,4,1,3,5] [[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[4,1,2,3,5]=>[4,1,2,3,5] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,2,1,4,5]=>[2,3,1,4,5] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[2,3,1,4,5]=>[3,2,1,4,5] [[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[3,1,2,4,5]=>[3,1,2,4,5] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,1,3,4,5]=>[2,1,3,4,5] [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,2,3,4,5]=>[1,2,3,4,5] [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[6,3,4,5,2,1]=>[2,5,6,3,4,1] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[6,3,4,5,2,1]=>[2,5,6,3,4,1] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[5,3,4,6,2,1]=>[2,6,5,3,4,1] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[2,6,4,3,5,1] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[2,6,3,4,5,1] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[6,3,4,5,2,1]=>[2,5,6,3,4,1] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[5,3,4,6,2,1]=>[2,6,5,3,4,1] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[4,3,5,6,2,1]=>[2,6,4,3,5,1] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[3,4,5,6,2,1]=>[2,6,3,4,5,1] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[4,5,6,2,3,1]=>[3,6,2,4,5,1] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1] [.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[4,5,6,2,3,1]=>[3,6,2,4,5,1] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[6,5,2,3,4,1]=>[4,5,2,3,6,1] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[6,5,2,3,4,1]=>[4,5,2,3,6,1] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[5,6,2,3,4,1]=>[4,6,2,3,5,1] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[6,5,2,3,4,1]=>[4,5,2,3,6,1] [.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[5,6,2,3,4,1]=>[4,6,2,3,5,1] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[6,4,2,3,5,1]=>[5,4,2,6,3,1] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[6,4,2,3,5,1]=>[5,4,2,6,3,1] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[6,3,2,4,5,1]=>[5,3,6,2,4,1] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[6,3,2,4,5,1]=>[5,3,6,2,4,1] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[6,2,3,4,5,1]=>[5,6,2,3,4,1] [.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[6,2,3,4,5,1]=>[5,6,2,3,4,1] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[5,4,2,3,6,1]=>[6,4,2,5,3,1] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[4,5,2,3,6,1]=>[6,5,2,4,3,1] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[5,3,2,4,6,1]=>[6,3,5,2,4,1] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[5,2,3,4,6,1]=>[6,5,2,3,4,1] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[6,3,4,2,5,1] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[4,2,3,5,6,1]=>[6,4,2,3,5,1] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1] [.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[6,3,4,5,2,1]=>[2,5,6,3,4,1] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[5,3,4,6,2,1]=>[2,6,5,3,4,1] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[4,3,5,6,2,1]=>[2,6,4,3,5,1] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[3,4,5,6,2,1]=>[2,6,3,4,5,1] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1] [.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[4,5,6,2,3,1]=>[3,6,2,4,5,1] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[6,5,2,3,4,1]=>[4,5,2,3,6,1] [.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[5,6,2,3,4,1]=>[4,6,2,3,5,1] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[6,4,2,3,5,1]=>[5,4,2,6,3,1] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[6,3,2,4,5,1]=>[5,3,6,2,4,1] [.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[6,2,3,4,5,1]=>[5,6,2,3,4,1] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[5,4,2,3,6,1]=>[6,4,2,5,3,1] [.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[4,5,2,3,6,1]=>[6,5,2,4,3,1] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[5,3,2,4,6,1]=>[6,3,5,2,4,1] [.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[5,2,3,4,6,1]=>[6,5,2,3,4,1] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[4,3,2,5,6,1]=>[6,3,4,2,5,1] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1] [.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[4,2,3,5,6,1]=>[6,4,2,3,5,1] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[3,1,4,6,5,2] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[5,6,4,3,1,2]=>[3,1,4,6,5,2] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[6,4,5,3,1,2]=>[3,1,5,6,4,2] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[6,4,5,3,1,2]=>[3,1,5,6,4,2] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[5,4,6,3,1,2]=>[3,1,6,5,4,2] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[4,5,6,3,1,2]=>[3,1,6,4,5,2] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[5,6,4,3,1,2]=>[3,1,4,6,5,2] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[6,4,5,3,1,2]=>[3,1,5,6,4,2] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[5,4,6,3,1,2]=>[3,1,6,5,4,2] [[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[4,5,6,3,1,2]=>[3,1,6,4,5,2] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[6,5,3,4,1,2]=>[4,1,5,3,6,2] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[6,5,3,4,1,2]=>[4,1,5,3,6,2] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[6,5,3,4,1,2]=>[4,1,5,3,6,2] [[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[6,4,3,5,1,2]=>[5,1,4,6,3,2] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[6,4,3,5,1,2]=>[5,1,4,6,3,2] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[6,3,4,5,1,2]=>[5,1,6,3,4,2] [[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[6,3,4,5,1,2]=>[5,1,6,3,4,2] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[5,4,3,6,1,2]=>[6,1,4,5,3,2] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[4,5,3,6,1,2]=>[6,1,5,4,3,2] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[5,3,4,6,1,2]=>[6,1,5,3,4,2] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[4,3,5,6,1,2]=>[6,1,4,3,5,2] [[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[5,6,4,3,1,2]=>[3,1,4,6,5,2] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[6,4,5,3,1,2]=>[3,1,5,6,4,2] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[5,4,6,3,1,2]=>[3,1,6,5,4,2] [[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[4,5,6,3,1,2]=>[3,1,6,4,5,2] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[6,5,3,4,1,2]=>[4,1,5,3,6,2] [[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[6,4,3,5,1,2]=>[5,1,4,6,3,2] [[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[6,3,4,5,1,2]=>[5,1,6,3,4,2] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[5,4,3,6,1,2]=>[6,1,4,5,3,2] [[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[4,5,3,6,1,2]=>[6,1,5,4,3,2] [[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[5,3,4,6,1,2]=>[6,1,5,3,4,2] [[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[4,3,5,6,1,2]=>[6,1,4,3,5,2] [[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[6,5,4,2,1,3]=>[2,4,1,5,6,3] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[6,5,4,2,1,3]=>[2,4,1,5,6,3] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[5,6,4,2,1,3]=>[2,4,1,6,5,3] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[6,5,4,2,1,3]=>[2,4,1,5,6,3] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[5,6,4,2,1,3]=>[2,4,1,6,5,3] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[6,4,5,2,1,3]=>[2,5,1,6,4,3] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[6,4,5,2,1,3]=>[2,5,1,6,4,3] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[2,6,1,5,4,3] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[4,5,6,2,1,3]=>[2,6,1,4,5,3] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[6,5,4,2,1,3]=>[2,4,1,5,6,3] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[5,6,4,2,1,3]=>[2,4,1,6,5,3] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[6,4,5,2,1,3]=>[2,5,1,6,4,3] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[5,4,6,2,1,3]=>[2,6,1,5,4,3] [[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[4,5,6,2,1,3]=>[2,6,1,4,5,3] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[5,6,4,1,2,3]=>[4,1,2,6,5,3] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3] [[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[5,6,4,1,2,3]=>[4,1,2,6,5,3] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3] [[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3] [[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3] [[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[5,6,4,1,2,3]=>[4,1,2,6,5,3] [[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3] [[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3] [[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[6,5,3,2,1,4]=>[2,3,5,1,6,4] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[6,5,3,2,1,4]=>[2,3,5,1,6,4] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[5,6,3,2,1,4]=>[2,3,6,1,5,4] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[6,5,3,2,1,4]=>[2,3,5,1,6,4] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[5,6,3,2,1,4]=>[2,3,6,1,5,4] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[6,5,2,3,1,4]=>[3,5,2,1,6,4] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[6,5,2,3,1,4]=>[3,5,2,1,6,4] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[5,6,2,3,1,4]=>[3,6,2,1,5,4] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[6,5,2,3,1,4]=>[3,5,2,1,6,4] [[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[5,6,2,3,1,4]=>[3,6,2,1,5,4] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[6,5,3,1,2,4]=>[3,1,5,2,6,4] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[6,5,3,1,2,4]=>[3,1,5,2,6,4] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[5,6,3,1,2,4]=>[3,1,6,2,5,4] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[6,5,3,1,2,4]=>[3,1,5,2,6,4] [[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[5,6,3,1,2,4]=>[3,1,6,2,5,4] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[6,5,2,1,3,4]=>[2,5,1,3,6,4] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[6,5,2,1,3,4]=>[2,5,1,3,6,4] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[5,6,2,1,3,4]=>[2,6,1,3,5,4] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[6,5,2,1,3,4]=>[2,5,1,3,6,4] [[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[5,6,2,1,3,4]=>[2,6,1,3,5,4] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4] [[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4] [[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4] [[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4] [[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[6,4,3,2,1,5]=>[2,3,4,6,1,5] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[6,4,3,2,1,5]=>[2,3,4,6,1,5] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[6,3,4,2,1,5]=>[2,4,6,3,1,5] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[6,3,4,2,1,5]=>[2,4,6,3,1,5] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[6,4,2,3,1,5]=>[3,4,2,6,1,5] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[6,4,2,3,1,5]=>[3,4,2,6,1,5] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[6,3,2,4,1,5]=>[4,3,6,2,1,5] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[6,3,2,4,1,5]=>[4,3,6,2,1,5] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[6,2,3,4,1,5]=>[4,6,2,3,1,5] [[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[6,2,3,4,1,5]=>[4,6,2,3,1,5] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[6,4,3,1,2,5]=>[3,1,4,6,2,5] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[6,4,3,1,2,5]=>[3,1,4,6,2,5] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5] [[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[6,4,2,1,3,5]=>[2,4,1,6,3,5] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[6,4,2,1,3,5]=>[2,4,1,6,3,5] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5] [[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[6,3,2,1,4,5]=>[2,3,6,1,4,5] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[6,3,2,1,4,5]=>[2,3,6,1,4,5] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[6,2,3,1,4,5]=>[3,6,2,1,4,5] [[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[6,2,3,1,4,5]=>[3,6,2,1,4,5] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5] [[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5] [[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5] [[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5] [[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[2,3,5,4,1,6] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[5,3,4,2,1,6]=>[2,4,5,3,1,6] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[4,3,5,2,1,6]=>[2,5,4,3,1,6] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[3,4,5,2,1,6]=>[2,5,3,4,1,6] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[5,4,2,3,1,6]=>[3,4,2,5,1,6] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[4,5,2,3,1,6]=>[3,5,2,4,1,6] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[5,3,2,4,1,6]=>[4,3,5,2,1,6] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[5,2,3,4,1,6]=>[4,5,2,3,1,6] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[4,3,2,5,1,6]=>[5,3,4,2,1,6] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[4,2,3,5,1,6]=>[5,4,2,3,1,6] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6] [[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[5,4,3,1,2,6]=>[3,1,4,5,2,6] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[4,5,3,1,2,6]=>[3,1,5,4,2,6] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6] [[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[5,4,2,1,3,6]=>[2,4,1,5,3,6] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[4,5,2,1,3,6]=>[2,5,1,4,3,6] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6] [[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[5,3,2,1,4,6]=>[2,3,5,1,4,6] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[5,2,3,1,4,6]=>[3,5,2,1,4,6] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6] [[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[3,4,2,1,5,6]=>[2,4,3,1,5,6] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[4,2,3,1,5,6]=>[3,4,2,1,5,6] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6] [[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6] [[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6] [[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6] [[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6] [[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6] [[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1]=>[2,3,4,5,6,1] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[5,6,4,3,2,1]=>[2,3,4,6,5,1] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[6,4,5,3,2,1]=>[2,3,5,6,4,1] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[4,5,6,3,2,1]=>[2,3,6,4,5,1] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[6,5,3,4,2,1]=>[2,4,5,3,6,1] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[5,6,3,4,2,1]=>[2,4,6,3,5,1] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[6,4,3,5,2,1]=>[2,5,4,6,3,1] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[6,3,4,5,2,1]=>[2,5,6,3,4,1] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[5,3,4,6,2,1]=>[2,6,5,3,4,1] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[4,3,5,6,2,1]=>[2,6,4,3,5,1] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[3,4,5,6,2,1]=>[2,6,3,4,5,1] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[6,5,4,2,3,1]=>[3,4,2,5,6,1] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[5,6,4,2,3,1]=>[3,4,2,6,5,1] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[6,4,5,2,3,1]=>[3,5,2,6,4,1] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[5,4,6,2,3,1]=>[3,6,2,5,4,1] [[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[4,5,6,2,3,1]=>[3,6,2,4,5,1] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[6,5,3,2,4,1]=>[4,3,5,2,6,1] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[5,6,3,2,4,1]=>[4,3,6,2,5,1] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[6,5,2,3,4,1]=>[4,5,2,3,6,1] [[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[5,6,2,3,4,1]=>[4,6,2,3,5,1] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[6,4,3,2,5,1]=>[5,3,4,6,2,1] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[6,3,4,2,5,1]=>[5,4,6,3,2,1] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[6,4,2,3,5,1]=>[5,4,2,6,3,1] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[6,3,2,4,5,1]=>[5,3,6,2,4,1] [[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[6,2,3,4,5,1]=>[5,6,2,3,4,1] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[5,3,4,2,6,1]=>[6,4,5,3,2,1] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[5,4,2,3,6,1]=>[6,4,2,5,3,1] [[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[4,5,2,3,6,1]=>[6,5,2,4,3,1] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[5,3,2,4,6,1]=>[6,3,5,2,4,1] [[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[5,2,3,4,6,1]=>[6,5,2,3,4,1] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[4,3,2,5,6,1]=>[6,3,4,2,5,1] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1] [[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[4,2,3,5,6,1]=>[6,4,2,3,5,1] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[2,3,4,5,6,1]=>[6,2,3,4,5,1] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[6,5,4,3,1,2]=>[3,1,4,5,6,2] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[5,6,4,3,1,2]=>[3,1,4,6,5,2] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[6,4,5,3,1,2]=>[3,1,5,6,4,2] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[5,4,6,3,1,2]=>[3,1,6,5,4,2] [[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[4,5,6,3,1,2]=>[3,1,6,4,5,2] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[6,5,3,4,1,2]=>[4,1,5,3,6,2] [[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[5,6,3,4,1,2]=>[4,1,6,3,5,2] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[6,4,3,5,1,2]=>[5,1,4,6,3,2] [[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[6,3,4,5,1,2]=>[5,1,6,3,4,2] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[5,4,3,6,1,2]=>[6,1,4,5,3,2] [[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[4,5,3,6,1,2]=>[6,1,5,4,3,2] [[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[5,3,4,6,1,2]=>[6,1,5,3,4,2] [[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[4,3,5,6,1,2]=>[6,1,4,3,5,2] [[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[3,4,5,6,1,2]=>[6,1,3,4,5,2] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[6,5,4,2,1,3]=>[2,4,1,5,6,3] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[5,6,4,2,1,3]=>[2,4,1,6,5,3] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[6,4,5,2,1,3]=>[2,5,1,6,4,3] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[5,4,6,2,1,3]=>[2,6,1,5,4,3] [[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[4,5,6,2,1,3]=>[2,6,1,4,5,3] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[6,5,4,1,2,3]=>[4,1,2,5,6,3] [[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[5,6,4,1,2,3]=>[4,1,2,6,5,3] [[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[6,4,5,1,2,3]=>[5,1,2,6,4,3] [[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[5,4,6,1,2,3]=>[6,1,2,5,4,3] [[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[4,5,6,1,2,3]=>[6,1,2,4,5,3] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[6,5,3,2,1,4]=>[2,3,5,1,6,4] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[5,6,3,2,1,4]=>[2,3,6,1,5,4] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[6,5,2,3,1,4]=>[3,5,2,1,6,4] [[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[5,6,2,3,1,4]=>[3,6,2,1,5,4] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[6,5,3,1,2,4]=>[3,1,5,2,6,4] [[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[5,6,3,1,2,4]=>[3,1,6,2,5,4] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[6,5,2,1,3,4]=>[2,5,1,3,6,4] [[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[5,6,2,1,3,4]=>[2,6,1,3,5,4] [[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[6,5,1,2,3,4]=>[5,1,2,3,6,4] [[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[5,6,1,2,3,4]=>[6,1,2,3,5,4] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[6,4,3,2,1,5]=>[2,3,4,6,1,5] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[6,3,4,2,1,5]=>[2,4,6,3,1,5] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[6,4,2,3,1,5]=>[3,4,2,6,1,5] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[6,3,2,4,1,5]=>[4,3,6,2,1,5] [[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[6,2,3,4,1,5]=>[4,6,2,3,1,5] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[6,4,3,1,2,5]=>[3,1,4,6,2,5] [[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[6,3,4,1,2,5]=>[4,1,6,3,2,5] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[6,4,2,1,3,5]=>[2,4,1,6,3,5] [[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[6,4,1,2,3,5]=>[4,1,2,6,3,5] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[6,3,2,1,4,5]=>[2,3,6,1,4,5] [[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[6,2,3,1,4,5]=>[3,6,2,1,4,5] [[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[6,3,1,2,4,5]=>[3,1,6,2,4,5] [[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[6,2,1,3,4,5]=>[2,6,1,3,4,5] [[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[4,5,3,2,1,6]=>[2,3,5,4,1,6] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[5,3,4,2,1,6]=>[2,4,5,3,1,6] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[4,3,5,2,1,6]=>[2,5,4,3,1,6] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[3,4,5,2,1,6]=>[2,5,3,4,1,6] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[5,4,2,3,1,6]=>[3,4,2,5,1,6] [[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[4,5,2,3,1,6]=>[3,5,2,4,1,6] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[5,3,2,4,1,6]=>[4,3,5,2,1,6] [[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[5,2,3,4,1,6]=>[4,5,2,3,1,6] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[4,3,2,5,1,6]=>[5,3,4,2,1,6] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6] [[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[4,2,3,5,1,6]=>[5,4,2,3,1,6] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[5,4,3,1,2,6]=>[3,1,4,5,2,6] [[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[4,5,3,1,2,6]=>[3,1,5,4,2,6] [[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[5,3,4,1,2,6]=>[4,1,5,3,2,6] [[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[4,3,5,1,2,6]=>[5,1,4,3,2,6] [[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[3,4,5,1,2,6]=>[5,1,3,4,2,6] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[5,4,2,1,3,6]=>[2,4,1,5,3,6] [[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[4,5,2,1,3,6]=>[2,5,1,4,3,6] [[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[5,4,1,2,3,6]=>[4,1,2,5,3,6] [[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[4,5,1,2,3,6]=>[5,1,2,4,3,6] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[5,3,2,1,4,6]=>[2,3,5,1,4,6] [[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[5,2,3,1,4,6]=>[3,5,2,1,4,6] [[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[5,3,1,2,4,6]=>[3,1,5,2,4,6] [[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[5,2,1,3,4,6]=>[2,5,1,3,4,6] [[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[3,4,2,1,5,6]=>[2,4,3,1,5,6] [[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[4,2,3,1,5,6]=>[3,4,2,1,5,6] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6] [[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[4,3,1,2,5,6]=>[3,1,4,2,5,6] [[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[3,4,1,2,5,6]=>[4,1,3,2,5,6] [[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6] [[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6] [[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[2,3,4,5,6,7,1] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1] [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[8,7,6,4,5,3,2,1]=>[7,6,4,5,3,2,1]=>[2,3,5,6,4,7,1] [.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1] [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,3,4,2,1]=>[7,6,5,3,4,2,1]=>[2,4,5,3,6,7,1] [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[7,5,6,3,4,2,1]=>[2,4,6,3,7,5,1] [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[5,6,7,3,4,2,1]=>[2,4,7,3,5,6,1] [.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[6,4,5,7,3,8,2,1]=>[6,4,5,7,3,2,1]=>[2,3,7,6,4,5,1] [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[5,4,6,7,3,2,1]=>[2,3,7,5,4,6,1] [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,2,3,1]=>[7,6,5,4,2,3,1]=>[3,4,2,5,6,7,1] [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,2,3,1]=>[6,7,5,4,2,3,1]=>[3,4,2,5,7,6,1] [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[5,6,7,4,2,3,1]=>[3,4,2,7,5,6,1] [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[6,7,4,5,2,3,1]=>[3,5,2,7,4,6,1] [.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,2,3,1]=>[4,5,6,7,2,3,1]=>[3,7,2,4,5,6,1] [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,2,4,1]=>[7,6,5,3,2,4,1]=>[4,3,5,2,6,7,1] [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[6,5,7,3,2,4,1]=>[4,3,7,2,6,5,1] [.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[5,6,7,3,2,4,1]=>[4,3,7,2,5,6,1] [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,2,3,4,1]=>[7,6,5,2,3,4,1]=>[4,5,2,3,6,7,1] [.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[5,6,7,2,3,4,1]=>[4,7,2,3,5,6,1] [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[5,6,7,2,3,4,1]=>[4,7,2,3,5,6,1] [.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[6,4,5,7,3,2,8,1]=>[6,4,5,7,3,2,1]=>[2,3,7,6,4,5,1] [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,1]=>[2,7,6,5,4,3,1] [.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[6,5,3,4,7,2,8,1]=>[6,5,3,4,7,2,1]=>[2,7,5,3,6,4,1] [.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,2,3,8,1]=>[6,4,5,7,2,3,1]=>[3,7,2,6,4,5,1] [.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[7,6,5,2,3,4,8,1]=>[7,6,5,2,3,4,1]=>[4,5,2,3,6,7,1] [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1] [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2] [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,3,1,2]=>[7,6,5,4,3,1,2]=>[3,1,4,5,6,7,2] [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[5,6,7,4,3,1,2]=>[3,1,4,7,5,6,2] [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[7,6,4,5,3,1,2]=>[3,1,5,6,4,7,2] [[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,3,1,2]=>[4,5,6,7,3,1,2]=>[3,1,7,4,5,6,2] [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,4,1,2]=>[7,6,5,3,4,1,2]=>[4,1,5,3,6,7,2] [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[7,5,6,3,4,1,2]=>[4,1,6,3,7,5,2] [[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,4,1,2]=>[6,7,5,3,4,1,2]=>[4,1,5,3,7,6,2] [[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,4,1,2]=>[7,5,6,3,4,1,2]=>[4,1,6,3,7,5,2] [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[6,5,7,3,4,1,2]=>[4,1,7,3,6,5,2] [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[5,6,7,3,4,1,2]=>[4,1,7,3,5,6,2] [[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[7,8,4,5,3,6,1,2]=>[7,4,5,3,6,1,2]=>[6,1,5,7,4,3,2] [[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[7,8,5,3,4,6,1,2]=>[7,5,3,4,6,1,2]=>[6,1,5,3,7,4,2] [[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[7,4,3,5,6,1,2]=>[6,1,4,7,3,5,2] [[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,3,8,1,2]=>[6,7,4,5,3,1,2]=>[3,1,5,7,4,6,2] [[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,3,8,1,2]=>[5,4,6,7,3,1,2]=>[3,1,7,5,4,6,2] [[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[5,4,6,3,7,8,1,2]=>[5,4,6,3,7,1,2]=>[7,1,6,5,4,3,2] [[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[6,4,3,5,7,8,1,2]=>[6,4,3,5,7,1,2]=>[7,1,4,6,3,5,2] [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[5,4,3,6,7,1,2]=>[7,1,4,5,3,6,2] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[2,4,1,5,6,7,3] [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[7,6,5,4,2,1,3]=>[2,4,1,5,6,7,3] [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[5,6,7,4,2,1,3]=>[2,4,1,7,5,6,3] [[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,2,1,3]=>[4,5,6,7,2,1,3]=>[2,7,1,4,5,6,3] [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,1,2,3]=>[7,6,5,4,1,2,3]=>[4,1,2,5,6,7,3] [[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[6,7,5,4,1,2,3]=>[4,1,2,5,7,6,3] [[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,1,2,3]=>[6,5,7,4,1,2,3]=>[4,1,2,7,6,5,3] [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[5,6,7,4,1,2,3]=>[4,1,2,7,5,6,3] [[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[6,5,4,7,1,2,3]=>[7,1,2,5,6,4,3] [[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[4,5,6,7,1,2,3]=>[7,1,2,4,5,6,3] [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4]=>[2,3,5,1,6,7,4] [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[7,6,5,3,2,1,4]=>[2,3,5,1,6,7,4] [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[5,6,7,3,2,1,4]=>[2,3,7,1,5,6,4] [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,3,1,4]=>[7,6,5,2,3,1,4]=>[3,5,2,1,6,7,4] [[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,3,1,4]=>[7,5,6,2,3,1,4]=>[3,6,2,1,7,5,4] [[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,3,1,4]=>[6,7,5,2,3,1,4]=>[3,5,2,1,7,6,4] [[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[7,5,6,2,3,1,4]=>[3,6,2,1,7,5,4] [[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[5,6,7,2,3,1,4]=>[3,7,2,1,5,6,4] [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,1,2,4]=>[7,6,5,3,1,2,4]=>[3,1,5,2,6,7,4] [[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,1,2,4]=>[7,5,6,3,1,2,4]=>[3,1,6,2,7,5,4] [[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[6,7,5,3,1,2,4]=>[3,1,5,2,7,6,4] [[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,1,2,4]=>[7,5,6,3,1,2,4]=>[3,1,6,2,7,5,4] [[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[5,6,7,3,1,2,4]=>[3,1,7,2,5,6,4] [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,1,3,4]=>[7,6,5,2,1,3,4]=>[2,5,1,3,6,7,4] [[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,1,3,4]=>[6,7,5,2,1,3,4]=>[2,5,1,3,7,6,4] [[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[7,5,6,2,1,3,4]=>[2,6,1,3,7,5,4] [[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[6,5,7,2,1,3,4]=>[2,7,1,3,6,5,4] [[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[5,6,7,2,1,3,4]=>[2,7,1,3,5,6,4] [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4] [[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4] [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[6,7,5,1,2,3,4]=>[5,1,2,3,7,6,4] [[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4] [[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[6,7,5,1,2,3,4]=>[5,1,2,3,7,6,4] [[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>[6,1,2,3,7,5,4] [[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[7,5,6,1,2,3,4]=>[6,1,2,3,7,5,4] [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4] [[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4] [[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4] [[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[6,7,5,1,2,3,4]=>[5,1,2,3,7,6,4] [[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[7,5,6,1,2,3,4]=>[6,1,2,3,7,5,4] [[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4] [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5]=>[2,3,4,6,1,7,5] [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[6,7,8,4,3,2,1,5]=>[6,7,4,3,2,1,5]=>[2,3,4,7,1,6,5] [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[8,7,6,3,4,2,1,5]=>[7,6,3,4,2,1,5]=>[2,4,6,3,1,7,5] [[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[6,7,8,3,4,2,1,5]=>[6,7,3,4,2,1,5]=>[2,4,7,3,1,6,5] [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,2,3,1,5]=>[7,6,4,2,3,1,5]=>[3,4,2,6,1,7,5] [[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,2,3,1,5]=>[6,7,4,2,3,1,5]=>[3,4,2,7,1,6,5] [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[8,7,6,3,2,4,1,5]=>[7,6,3,2,4,1,5]=>[4,3,6,2,1,7,5] [[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[6,7,8,3,2,4,1,5]=>[6,7,3,2,4,1,5]=>[4,3,7,2,1,6,5] [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[8,7,6,2,3,4,1,5]=>[7,6,2,3,4,1,5]=>[4,6,2,3,1,7,5] [[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[6,7,2,3,4,1,5]=>[4,7,2,3,1,6,5] [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,1,2,5]=>[7,6,4,3,1,2,5]=>[3,1,4,6,2,7,5] [[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,3,1,2,5]=>[6,7,4,3,1,2,5]=>[3,1,4,7,2,6,5] [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[8,7,6,3,4,1,2,5]=>[7,6,3,4,1,2,5]=>[4,1,6,3,2,7,5] [[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[6,7,8,3,4,1,2,5]=>[6,7,3,4,1,2,5]=>[4,1,7,3,2,6,5] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[7,6,4,2,1,3,5]=>[2,4,1,6,3,7,5] [[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,2,1,3,5]=>[6,7,4,2,1,3,5]=>[2,4,1,7,3,6,5] [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,1,2,3,5]=>[7,6,4,1,2,3,5]=>[4,1,2,6,3,7,5] [[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[6,7,4,1,2,3,5]=>[4,1,2,7,3,6,5] [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[8,7,6,3,2,1,4,5]=>[7,6,3,2,1,4,5]=>[2,3,6,1,4,7,5] [[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[6,7,8,3,2,1,4,5]=>[6,7,3,2,1,4,5]=>[2,3,7,1,4,6,5] [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[8,7,6,2,3,1,4,5]=>[7,6,2,3,1,4,5]=>[3,6,2,1,4,7,5] [[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[6,7,8,2,3,1,4,5]=>[6,7,2,3,1,4,5]=>[3,7,2,1,4,6,5] [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[8,7,6,3,1,2,4,5]=>[7,6,3,1,2,4,5]=>[3,1,6,2,4,7,5] [[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[6,7,8,3,1,2,4,5]=>[6,7,3,1,2,4,5]=>[3,1,7,2,4,6,5] [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[8,7,6,2,1,3,4,5]=>[7,6,2,1,3,4,5]=>[2,6,1,3,4,7,5] [[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[6,7,2,1,3,4,5]=>[2,7,1,3,4,6,5] [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5] [[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5] [[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5] [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[7,6,1,2,3,4,5]=>[6,1,2,3,4,7,5] [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[6,7,1,2,3,4,5]=>[7,1,2,3,4,6,5] [[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,2,3,1,6]=>[7,4,5,2,3,1,6]=>[3,5,2,7,4,1,6] [[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[7,5,2,1,3,4,6]=>[2,5,1,3,7,4,6] [[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[7,5,2,1,3,4,6]=>[2,5,1,3,7,4,6] [[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6] [[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[7,5,1,2,3,4,6]=>[5,1,2,3,7,4,6] [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[8,7,4,3,2,1,5,6]=>[7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6] [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[7,8,4,3,2,1,5,6]=>[7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6] [[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[7,8,3,2,4,1,5,6]=>[7,3,2,4,1,5,6]=>[4,3,7,2,1,5,6] [[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[7,8,4,2,1,3,5,6]=>[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6] [[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[7,3,2,1,4,5,6]=>[2,3,7,1,4,5,6] [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7] [[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[5,6,3,4,1,2,7]=>[4,1,6,3,5,2,7] [[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[8,4,3,5,6,1,2,7]=>[4,3,5,6,1,2,7]=>[6,1,4,3,5,2,7] [[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[8,6,5,2,3,1,4,7]=>[6,5,2,3,1,4,7]=>[3,5,2,1,6,4,7] [[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[5,6,2,3,1,4,7]=>[3,6,2,1,5,4,7] [[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[8,5,6,2,1,3,4,7]=>[5,6,2,1,3,4,7]=>[2,6,1,3,5,4,7] [[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[8,6,5,1,2,3,4,7]=>[6,5,1,2,3,4,7]=>[5,1,2,3,6,4,7] [[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[8,5,6,1,2,3,4,7]=>[5,6,1,2,3,4,7]=>[6,1,2,3,5,4,7] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>[6,4,3,2,1,5,7]=>[2,3,4,6,1,5,7] [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[6,3,4,2,1,5,7]=>[2,4,6,3,1,5,7] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[6,4,2,1,3,5,7]=>[2,4,1,6,3,5,7] [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[8,4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7] [[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[2,3,1,4,5,6,7] [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1] [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[7,4,5,6,3,2,1,8]=>[7,4,5,6,3,2,1]=>[2,3,6,7,4,5,1] [[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[5,6,7,3,4,2,1,8]=>[5,6,7,3,4,2,1]=>[2,4,7,3,5,6,1] [[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,2,3,1,8]=>[5,6,7,4,2,3,1]=>[3,4,2,7,5,6,1] [[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[6,7,4,5,2,3,1,8]=>[6,7,4,5,2,3,1]=>[3,5,2,7,4,6,1] [[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,2,3,1,8]=>[7,4,5,6,2,3,1]=>[3,6,2,7,4,5,1] [[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[5,6,7,3,2,4,1,8]=>[5,6,7,3,2,4,1]=>[4,3,7,2,5,6,1] [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[7,6,5,2,3,4,1]=>[4,5,2,3,6,7,1] [[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[6,7,5,2,3,4,1,8]=>[6,7,5,2,3,4,1]=>[4,5,2,3,7,6,1] [[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[7,5,6,2,3,4,1,8]=>[7,5,6,2,3,4,1]=>[4,6,2,3,7,5,1] [[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[6,5,7,2,3,4,1,8]=>[6,5,7,2,3,4,1]=>[4,7,2,3,6,5,1] [[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[5,6,7,2,3,4,1,8]=>[5,6,7,2,3,4,1]=>[4,7,2,3,5,6,1] [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1] [[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,3,1,2,8]=>[7,4,5,6,3,1,2]=>[3,1,6,7,4,5,2] [[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,2,1,3,8]=>[7,4,5,6,2,1,3]=>[2,6,1,7,4,5,3] [[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,1,2,3,8]=>[5,6,7,4,1,2,3]=>[4,1,2,7,5,6,3] [[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,1,2,3,8]=>[7,4,5,6,1,2,3]=>[6,1,2,7,4,5,3] [[[[.,.],.],[[.,[[.,.],.]],.]],.]=>[5,6,4,7,1,2,3,8]=>[5,6,4,7,1,2,3]=>[7,1,2,6,5,4,3] [[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[5,4,6,7,1,2,3,8]=>[5,4,6,7,1,2,3]=>[7,1,2,5,4,6,3] [[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[5,6,7,3,1,2,4,8]=>[5,6,7,3,1,2,4]=>[3,1,7,2,5,6,4] [[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[5,6,7,2,1,3,4,8]=>[5,6,7,2,1,3,4]=>[2,7,1,3,5,6,4] [[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[7,6,5,1,2,3,4,8]=>[7,6,5,1,2,3,4]=>[5,1,2,3,6,7,4] [[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[6,7,5,1,2,3,4,8]=>[6,7,5,1,2,3,4]=>[5,1,2,3,7,6,4] [[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[7,5,6,1,2,3,4,8]=>[7,5,6,1,2,3,4]=>[6,1,2,3,7,5,4] [[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[6,5,7,1,2,3,4,8]=>[6,5,7,1,2,3,4]=>[7,1,2,3,6,5,4] [[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>[5,6,7,1,2,3,4]=>[7,1,2,3,5,6,4] [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[7,6,4,3,2,1,5,8]=>[7,6,4,3,2,1,5]=>[2,3,4,6,1,7,5] [[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[7,5,3,1,2,4,6,8]=>[7,5,3,1,2,4,6]=>[3,1,5,2,7,4,6] [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[7,4,3,2,1,5,6,8]=>[7,4,3,2,1,5,6]=>[2,3,4,7,1,5,6] [[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7] [[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7] [[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[5,6,4,3,1,2,7,8]=>[5,6,4,3,1,2,7]=>[3,1,4,6,5,2,7] [[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[5,4,6,3,1,2,7,8]=>[5,4,6,3,1,2,7]=>[3,1,6,5,4,2,7] [[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[5,6,3,4,1,2,7,8]=>[5,6,3,4,1,2,7]=>[4,1,6,3,5,2,7] [[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[5,4,3,6,1,2,7,8]=>[5,4,3,6,1,2,7]=>[6,1,4,5,3,2,7] [[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[5,6,4,2,1,3,7,8]=>[5,6,4,2,1,3,7]=>[2,4,1,6,5,3,7] [[[[.,[.,.]],[[.,[.,.]],.]],.],.]=>[5,4,6,2,1,3,7,8]=>[5,4,6,2,1,3,7]=>[2,6,1,5,4,3,7] [[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[5,6,3,2,1,4,7,8]=>[5,6,3,2,1,4,7]=>[2,3,6,1,5,4,7] [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[6,4,3,2,1,5,7,8]=>[6,4,3,2,1,5,7]=>[2,3,4,6,1,5,7] [[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[6,4,3,1,2,5,7,8]=>[6,4,3,1,2,5,7]=>[3,1,4,6,2,5,7] [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7] [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7] [[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7] [[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7] [[[[[[[.,.],.],[.,.]],.],.],.],.]=>[4,1,2,3,5,6,7,8]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
Map
to 132-avoiding permutation
Description
Return a 132-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 maximal element of the Sylvester class.
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.
Map
descent views to invisible inversion bottoms
Description
Return a permutation whose multiset of invisible inversion bottoms is the multiset of descent views of the given permutation.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
  • the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
  • the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
  • the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
  • the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
  • the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.