Identifier
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00252: Permutations —restriction⟶ Permutations
Mp00237: 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] [[.,.],[.,.]]=>[1,3,2]=>[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] [.,[[.,.],[.,.]]]=>[2,4,3,1]=>[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] [[.,.],[.,[.,.]]]=>[1,4,3,2]=>[1,3,2]=>[1,3,2] [[.,.],[[.,.],.]]=>[1,3,4,2]=>[1,3,2]=>[1,3,2] [[.,[.,.]],[.,.]]=>[2,1,4,3]=>[2,1,3]=>[2,1,3] [[[.,.],.],[.,.]]=>[1,2,4,3]=>[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] [[[.,.],[.,.]],.]=>[1,3,2,4]=>[1,3,2]=>[1,3,2] [[[.,[.,.]],.],.]=>[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] [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[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] [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[2,4,3,1]=>[3,2,4,1] [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[2,4,3,1]=>[3,2,4,1] [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[3,2,4,1]=>[4,3,2,1] [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[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] [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[2,4,3,1]=>[3,2,4,1] [.,[[[.,[.,.]],.],.]]=>[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] [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[1,4,3,2]=>[1,3,4,2] [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[1,4,3,2]=>[1,3,4,2] [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[1,3,4,2]=>[1,4,3,2] [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[1,4,3,2]=>[1,3,4,2] [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[1,3,4,2]=>[1,4,3,2] [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[2,1,4,3]=>[2,1,4,3] [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[2,1,4,3]=>[2,1,4,3] [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[1,2,4,3]=>[1,2,4,3] [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[1,2,4,3]=>[1,2,4,3] [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[3,2,1,4]=>[2,3,1,4] [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[2,3,1,4]=>[3,2,1,4] [[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[1,3,2,4]=>[1,3,2,4] [[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[2,1,3,4]=>[2,1,3,4] [[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[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] [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[2,4,3,1]=>[3,2,4,1] [[.,[[.,[.,.]],.]],.]=>[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] [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[1,4,3,2]=>[1,3,4,2] [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[1,3,4,2]=>[1,4,3,2] [[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[2,1,4,3]=>[2,1,4,3] [[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[1,2,4,3]=>[1,2,4,3] [[[.,[.,[.,.]]],.],.]=>[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] [[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[1,3,2,4]=>[1,3,2,4] [[[[.,[.,.]],.],.],.]=>[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] [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[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] [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1] [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1] [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[4,3,5,2,1]=>[2,5,4,3,1] [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[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] [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[3,5,4,2,1]=>[2,4,3,5,1] [.,[.,[[[.,[.,.]],.],.]]]=>[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] [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1] [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1] [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1] [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[2,5,4,3,1]=>[3,2,4,5,1] [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[2,4,5,3,1]=>[3,2,5,4,1] [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1] [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[3,2,5,4,1]=>[4,3,2,5,1] [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1] [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[2,3,5,4,1]=>[4,2,3,5,1] [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[4,3,2,5,1]=>[5,3,4,2,1] [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[3,4,2,5,1]=>[5,4,3,2,1] [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[2,4,3,5,1]=>[5,2,4,3,1] [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[3,2,4,5,1]=>[5,3,2,4,1] [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[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] [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[3,5,4,2,1]=>[2,4,3,5,1] [.,[[.,[[.,[.,.]],.]],.]]=>[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] [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[2,5,4,3,1]=>[3,2,4,5,1] [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[2,4,5,3,1]=>[3,2,5,4,1] [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[3,2,5,4,1]=>[4,3,2,5,1] [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[2,3,5,4,1]=>[4,2,3,5,1] [.,[[[.,[.,[.,.]]],.],.]]=>[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] [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[2,4,3,5,1]=>[5,2,4,3,1] [.,[[[[.,[.,.]],.],.],.]]=>[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] [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2] [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2] [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2] [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[1,5,4,3,2]=>[1,3,4,5,2] [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[1,4,5,3,2]=>[1,3,5,4,2] [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2] [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[1,3,5,4,2]=>[1,4,3,5,2] [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[1,4,3,5,2]=>[1,5,4,3,2] [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[1,3,4,5,2]=>[1,5,3,4,2] [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[1,5,4,3,2]=>[1,3,4,5,2] [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[1,4,5,3,2]=>[1,3,5,4,2] [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[1,3,5,4,2]=>[1,4,3,5,2] [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[1,4,3,5,2]=>[1,5,4,3,2] [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[1,3,4,5,2]=>[1,5,3,4,2] [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3] [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[2,1,5,4,3]=>[2,1,4,5,3] [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[2,1,4,5,3]=>[2,1,5,4,3] [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[2,1,5,4,3]=>[2,1,4,5,3] [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[2,1,4,5,3]=>[2,1,5,4,3] [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3] [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[1,2,5,4,3]=>[1,2,4,5,3] [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[1,2,4,5,3]=>[1,2,5,4,3] [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[1,2,5,4,3]=>[1,2,4,5,3] [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[1,2,4,5,3]=>[1,2,5,4,3] [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[3,2,1,5,4]=>[2,3,1,5,4] [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[3,2,1,5,4]=>[2,3,1,5,4] [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[2,3,1,5,4]=>[3,2,1,5,4] [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[2,3,1,5,4]=>[3,2,1,5,4] [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4] [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[1,3,2,5,4]=>[1,3,2,5,4] [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4] [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[2,1,3,5,4]=>[2,1,3,5,4] [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4] [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[1,2,3,5,4]=>[1,2,3,5,4] [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[4,3,2,1,5]=>[2,3,4,1,5] [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[3,4,2,1,5]=>[2,4,3,1,5] [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[2,4,3,1,5]=>[3,2,4,1,5] [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[3,2,4,1,5]=>[4,3,2,1,5] [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[2,3,4,1,5]=>[4,2,3,1,5] [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[1,4,3,2,5]=>[1,3,4,2,5] [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[1,3,4,2,5]=>[1,4,3,2,5] [[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[2,1,4,3,5]=>[2,1,4,3,5] [[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[1,2,4,3,5]=>[1,2,4,3,5] [[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[3,2,1,4,5]=>[2,3,1,4,5] [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[2,3,1,4,5]=>[3,2,1,4,5] [[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[1,3,2,4,5]=>[1,3,2,4,5] [[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[2,1,3,4,5]=>[2,1,3,4,5] [[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[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] [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[3,5,4,2,1]=>[2,4,3,5,1] [[.,[.,[[.,[.,.]],.]]],.]=>[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] [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[2,5,4,3,1]=>[3,2,4,5,1] [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[2,4,5,3,1]=>[3,2,5,4,1] [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[3,2,5,4,1]=>[4,3,2,5,1] [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[2,3,5,4,1]=>[4,2,3,5,1] [[.,[[.,[.,[.,.]]],.]],.]=>[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] [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[2,4,3,5,1]=>[5,2,4,3,1] [[.,[[[.,[.,.]],.],.]],.]=>[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] [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[1,5,4,3,2]=>[1,3,4,5,2] [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[1,4,5,3,2]=>[1,3,5,4,2] [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[1,3,5,4,2]=>[1,4,3,5,2] [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[1,4,3,5,2]=>[1,5,4,3,2] [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[1,3,4,5,2]=>[1,5,3,4,2] [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[2,1,5,4,3]=>[2,1,4,5,3] [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[2,1,4,5,3]=>[2,1,5,4,3] [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[1,2,5,4,3]=>[1,2,4,5,3] [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[1,2,4,5,3]=>[1,2,5,4,3] [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[3,2,1,5,4]=>[2,3,1,5,4] [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[2,3,1,5,4]=>[3,2,1,5,4] [[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[1,3,2,5,4]=>[1,3,2,5,4] [[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[2,1,3,5,4]=>[2,1,3,5,4] [[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[1,2,3,5,4]=>[1,2,3,5,4] [[[.,[.,[.,[.,.]]]],.],.]=>[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] [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[2,4,3,1,5]=>[3,2,4,1,5] [[[.,[[.,[.,.]],.]],.],.]=>[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] [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[1,4,3,2,5]=>[1,3,4,2,5] [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[1,3,4,2,5]=>[1,4,3,2,5] [[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[2,1,4,3,5]=>[2,1,4,3,5] [[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[1,2,4,3,5]=>[1,2,4,3,5] [[[[.,[.,[.,.]]],.],.],.]=>[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] [[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[1,3,2,4,5]=>[1,3,2,4,5] [[[[[.,[.,.]],.],.],.],.]=>[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] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[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] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[5,4,6,3,2,1]=>[2,3,6,5,4,1] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[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] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[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] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[3,5,6,4,2,1]=>[2,4,3,6,5,1] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[3,5,6,4,2,1]=>[2,4,3,6,5,1] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[3,4,6,5,2,1]=>[2,5,3,4,6,1] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[3,4,6,5,2,1]=>[2,5,3,4,6,1] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[5,4,3,6,2,1]=>[2,6,4,5,3,1] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[4,5,3,6,2,1]=>[2,6,5,4,3,1] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[3,5,4,6,2,1]=>[2,6,3,5,4,1] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[4,3,5,6,2,1]=>[2,6,4,3,5,1] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[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] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[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] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[3,5,6,4,2,1]=>[2,4,3,6,5,1] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[3,4,6,5,2,1]=>[2,5,3,4,6,1] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[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] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[3,5,4,6,2,1]=>[2,6,3,5,4,1] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[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] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[2,5,6,4,3,1]=>[3,2,4,6,5,1] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[2,5,6,4,3,1]=>[3,2,4,6,5,1] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[2,4,6,5,3,1]=>[3,2,5,4,6,1] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[2,4,6,5,3,1]=>[3,2,5,4,6,1] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[2,5,4,6,3,1]=>[3,2,6,5,4,1] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[2,4,5,6,3,1]=>[3,2,6,4,5,1] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[2,5,6,4,3,1]=>[3,2,4,6,5,1] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[2,4,6,5,3,1]=>[3,2,5,4,6,1] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[2,5,4,6,3,1]=>[3,2,6,5,4,1] [.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[2,4,5,6,3,1]=>[3,2,6,4,5,1] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[3,2,5,6,4,1]=>[4,3,2,6,5,1] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[3,2,5,6,4,1]=>[4,3,2,6,5,1] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[2,3,6,5,4,1]=>[4,2,3,5,6,1] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[2,3,6,5,4,1]=>[4,2,3,5,6,1] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[2,3,5,6,4,1]=>[4,2,3,6,5,1] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[2,3,6,5,4,1]=>[4,2,3,5,6,1] [.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[2,3,5,6,4,1]=>[4,2,3,6,5,1] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[2,4,3,6,5,1]=>[5,2,4,3,6,1] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[2,4,3,6,5,1]=>[5,2,4,3,6,1] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[3,2,4,6,5,1]=>[5,3,2,4,6,1] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[3,2,4,6,5,1]=>[5,3,2,4,6,1] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[2,3,4,6,5,1]=>[5,2,3,4,6,1] [.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[2,3,4,6,5,1]=>[5,2,3,4,6,1] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[5,4,3,2,6,1]=>[6,3,4,5,2,1] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[4,5,3,2,6,1]=>[6,3,5,4,2,1] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[3,5,4,2,6,1]=>[6,4,3,5,2,1] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[4,3,5,2,6,1]=>[6,5,4,3,2,1] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[3,4,5,2,6,1]=>[6,5,3,4,2,1] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[2,5,4,3,6,1]=>[6,2,4,5,3,1] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[2,4,5,3,6,1]=>[6,2,5,4,3,1] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[3,2,5,4,6,1]=>[6,3,2,5,4,1] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[2,3,5,4,6,1]=>[6,2,3,5,4,1] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[4,3,2,5,6,1]=>[6,3,4,2,5,1] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[3,4,2,5,6,1]=>[6,4,3,2,5,1] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[2,4,3,5,6,1]=>[6,2,4,3,5,1] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[3,2,4,5,6,1]=>[6,3,2,4,5,1] [.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[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] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[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] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[3,5,6,4,2,1]=>[2,4,3,6,5,1] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[3,4,6,5,2,1]=>[2,5,3,4,6,1] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[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] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[3,5,4,6,2,1]=>[2,6,3,5,4,1] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[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] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[2,5,6,4,3,1]=>[3,2,4,6,5,1] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[2,4,6,5,3,1]=>[3,2,5,4,6,1] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[2,5,4,6,3,1]=>[3,2,6,5,4,1] [.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[2,4,5,6,3,1]=>[3,2,6,4,5,1] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[3,2,5,6,4,1]=>[4,3,2,6,5,1] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[2,3,6,5,4,1]=>[4,2,3,5,6,1] [.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[2,3,5,6,4,1]=>[4,2,3,6,5,1] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[2,4,3,6,5,1]=>[5,2,4,3,6,1] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[3,2,4,6,5,1]=>[5,3,2,4,6,1] [.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[2,3,4,6,5,1]=>[5,2,3,4,6,1] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[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] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[3,5,4,2,6,1]=>[6,4,3,5,2,1] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[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] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[2,5,4,3,6,1]=>[6,2,4,5,3,1] [.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[2,4,5,3,6,1]=>[6,2,5,4,3,1] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[3,2,5,4,6,1]=>[6,3,2,5,4,1] [.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[2,3,5,4,6,1]=>[6,2,3,5,4,1] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[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] [.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[2,4,3,5,6,1]=>[6,2,4,3,5,1] [.,[[[[[.,[.,.]],.],.],.],.]]=>[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] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2] [[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2] [[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2] [[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2] [[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2] [[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2] [[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2] [[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2] [[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2] [[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2] [[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2] [[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,4,5,6,3] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[2,1,6,5,4,3]=>[2,1,4,5,6,3] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[2,1,5,6,4,3]=>[2,1,4,6,5,3] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[2,1,6,5,4,3]=>[2,1,4,5,6,3] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[2,1,5,6,4,3]=>[2,1,4,6,5,3] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[2,1,4,6,5,3]=>[2,1,5,4,6,3] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[2,1,4,6,5,3]=>[2,1,5,4,6,3] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[2,1,6,5,4,3]=>[2,1,4,5,6,3] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[2,1,5,6,4,3]=>[2,1,4,6,5,3] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[2,1,4,6,5,3]=>[2,1,5,4,6,3] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3] [[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3] [[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3] [[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3] [[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3] [[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3] [[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3] [[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3] [[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[3,2,1,5,6,4]=>[2,3,1,6,5,4] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[3,2,1,5,6,4]=>[2,3,1,6,5,4] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[2,3,1,6,5,4]=>[3,2,1,5,6,4] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[2,3,1,6,5,4]=>[3,2,1,5,6,4] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[2,3,1,6,5,4]=>[3,2,1,5,6,4] [[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4] [[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4] [[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4] [[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4] [[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4] [[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4] [[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[4,3,2,1,6,5]=>[2,3,4,1,6,5] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[4,3,2,1,6,5]=>[2,3,4,1,6,5] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[3,4,2,1,6,5]=>[2,4,3,1,6,5] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[3,4,2,1,6,5]=>[2,4,3,1,6,5] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[2,4,3,1,6,5]=>[3,2,4,1,6,5] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[2,4,3,1,6,5]=>[3,2,4,1,6,5] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[3,2,4,1,6,5]=>[4,3,2,1,6,5] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[3,2,4,1,6,5]=>[4,3,2,1,6,5] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5] [[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5] [[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5] [[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,6]=>[2,3,4,5,1,6] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[4,5,3,2,1,6]=>[2,3,5,4,1,6] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[3,5,4,2,1,6]=>[2,4,3,5,1,6] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[4,3,5,2,1,6]=>[2,5,4,3,1,6] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[3,4,5,2,1,6]=>[2,5,3,4,1,6] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[2,5,4,3,1,6]=>[3,2,4,5,1,6] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[2,4,5,3,1,6]=>[3,2,5,4,1,6] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[3,2,5,4,1,6]=>[4,3,2,5,1,6] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[2,3,5,4,1,6]=>[4,2,3,5,1,6] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[4,3,2,5,1,6]=>[5,3,4,2,1,6] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[3,4,2,5,1,6]=>[5,4,3,2,1,6] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[2,4,3,5,1,6]=>[5,2,4,3,1,6] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[3,2,4,5,1,6]=>[5,3,2,4,1,6] [[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[2,3,4,5,1,6]=>[5,2,3,4,1,6] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6] [[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,6]=>[2,1,4,5,3,6] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6] [[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,6]=>[2,3,1,5,4,6] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,6]=>[2,3,4,1,5,6] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[3,4,2,1,5,6]=>[2,4,3,1,5,6] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[2,4,3,1,5,6]=>[3,2,4,1,5,6] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[3,2,4,1,5,6]=>[4,3,2,1,5,6] [[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[2,3,4,1,5,6]=>[4,2,3,1,5,6] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6] [[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6] [[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,6]=>[2,3,1,4,5,6] [[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[2,3,1,4,5,6]=>[3,2,1,4,5,6] [[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] [[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[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] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[4,6,5,3,2,1]=>[2,3,5,4,6,1] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[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] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[3,6,5,4,2,1]=>[2,4,3,5,6,1] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[3,5,6,4,2,1]=>[2,4,3,6,5,1] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[4,3,6,5,2,1]=>[2,5,4,3,6,1] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[3,4,6,5,2,1]=>[2,5,3,4,6,1] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[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] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[3,5,4,6,2,1]=>[2,6,3,5,4,1] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[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] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[2,6,5,4,3,1]=>[3,2,4,5,6,1] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[2,5,6,4,3,1]=>[3,2,4,6,5,1] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[2,4,6,5,3,1]=>[3,2,5,4,6,1] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[2,5,4,6,3,1]=>[3,2,6,5,4,1] [[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[2,4,5,6,3,1]=>[3,2,6,4,5,1] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[3,2,6,5,4,1]=>[4,3,2,5,6,1] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[3,2,5,6,4,1]=>[4,3,2,6,5,1] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[2,3,6,5,4,1]=>[4,2,3,5,6,1] [[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[2,3,5,6,4,1]=>[4,2,3,6,5,1] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[4,3,2,6,5,1]=>[5,3,4,2,6,1] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[3,4,2,6,5,1]=>[5,4,3,2,6,1] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[2,4,3,6,5,1]=>[5,2,4,3,6,1] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[3,2,4,6,5,1]=>[5,3,2,4,6,1] [[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[2,3,4,6,5,1]=>[5,2,3,4,6,1] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[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] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[3,5,4,2,6,1]=>[6,4,3,5,2,1] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[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] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[2,5,4,3,6,1]=>[6,2,4,5,3,1] [[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[2,4,5,3,6,1]=>[6,2,5,4,3,1] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[3,2,5,4,6,1]=>[6,3,2,5,4,1] [[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[2,3,5,4,6,1]=>[6,2,3,5,4,1] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[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] [[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[2,4,3,5,6,1]=>[6,2,4,3,5,1] [[.,[[[[.,[.,.]],.],.],.]],.]=>[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] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2]=>[1,3,4,5,6,2] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[1,5,6,4,3,2]=>[1,3,4,6,5,2] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[1,4,6,5,3,2]=>[1,3,5,4,6,2] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[1,5,4,6,3,2]=>[1,3,6,5,4,2] [[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[1,4,5,6,3,2]=>[1,3,6,4,5,2] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[1,3,6,5,4,2]=>[1,4,3,5,6,2] [[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[1,3,5,6,4,2]=>[1,4,3,6,5,2] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[1,4,3,6,5,2]=>[1,5,4,3,6,2] [[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[1,3,4,6,5,2]=>[1,5,3,4,6,2] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[1,5,4,3,6,2]=>[1,6,4,5,3,2] [[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[1,4,5,3,6,2]=>[1,6,5,4,3,2] [[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[1,3,5,4,6,2]=>[1,6,3,5,4,2] [[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[1,4,3,5,6,2]=>[1,6,4,3,5,2] [[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[1,3,4,5,6,2]=>[1,6,3,4,5,2] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3]=>[2,1,4,5,6,3] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[2,1,5,6,4,3]=>[2,1,4,6,5,3] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[2,1,4,6,5,3]=>[2,1,5,4,6,3] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[2,1,5,4,6,3]=>[2,1,6,5,4,3] [[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[2,1,4,5,6,3]=>[2,1,6,4,5,3] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3]=>[1,2,4,5,6,3] [[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[1,2,5,6,4,3]=>[1,2,4,6,5,3] [[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[1,2,4,6,5,3]=>[1,2,5,4,6,3] [[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[1,2,5,4,6,3]=>[1,2,6,5,4,3] [[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[1,2,4,5,6,3]=>[1,2,6,4,5,3] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4]=>[2,3,1,5,6,4] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[3,2,1,5,6,4]=>[2,3,1,6,5,4] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[2,3,1,6,5,4]=>[3,2,1,5,6,4] [[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[2,3,1,5,6,4]=>[3,2,1,6,5,4] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4]=>[1,3,2,5,6,4] [[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[1,3,2,5,6,4]=>[1,3,2,6,5,4] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[2,1,3,6,5,4]=>[2,1,3,5,6,4] [[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[2,1,3,5,6,4]=>[2,1,3,6,5,4] [[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4]=>[1,2,3,5,6,4] [[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[1,2,3,5,6,4]=>[1,2,3,6,5,4] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5]=>[2,3,4,1,6,5] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[3,4,2,1,6,5]=>[2,4,3,1,6,5] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[2,4,3,1,6,5]=>[3,2,4,1,6,5] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[3,2,4,1,6,5]=>[4,3,2,1,6,5] [[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[2,3,4,1,6,5]=>[4,2,3,1,6,5] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5]=>[1,3,4,2,6,5] [[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[1,3,4,2,6,5]=>[1,4,3,2,6,5] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5]=>[2,3,1,4,6,5] [[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[2,3,1,4,6,5]=>[3,2,1,4,6,5] [[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[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] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[3,5,4,2,1,6]=>[2,4,3,5,1,6] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[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] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[2,5,4,3,1,6]=>[3,2,4,5,1,6] [[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[2,4,5,3,1,6]=>[3,2,5,4,1,6] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[3,2,5,4,1,6]=>[4,3,2,5,1,6] [[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[2,3,5,4,1,6]=>[4,2,3,5,1,6] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[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] [[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[2,4,3,5,1,6]=>[5,2,4,3,1,6] [[[.,[[[.,[.,.]],.],.]],.],.]=>[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] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6]=>[1,3,4,5,2,6] [[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[1,4,5,3,2,6]=>[1,3,5,4,2,6] [[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[1,3,5,4,2,6]=>[1,4,3,5,2,6] [[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[1,4,3,5,2,6]=>[1,5,4,3,2,6] [[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[1,3,4,5,2,6]=>[1,5,3,4,2,6] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6]=>[2,1,4,5,3,6] [[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[2,1,4,5,3,6]=>[2,1,5,4,3,6] [[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6]=>[1,2,4,5,3,6] [[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[1,2,4,5,3,6]=>[1,2,5,4,3,6] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6]=>[2,3,1,5,4,6] [[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[2,3,1,5,4,6]=>[3,2,1,5,4,6] [[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[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] [[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[2,4,3,1,5,6]=>[3,2,4,1,5,6] [[[[.,[[.,[.,.]],.]],.],.],.]=>[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] [[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6]=>[1,3,4,2,5,6] [[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[1,3,4,2,5,6]=>[1,4,3,2,5,6] [[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6] [[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [[[[[.,[.,[.,.]]],.],.],.],.]=>[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] [[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] [[[[[[.,[.,.]],.],.],.],.],.]=>[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] [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[5,8,7,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[2,3,4,6,5,7,1] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1] [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1] [.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[4,5,6,7,3,2,1]=>[2,3,7,4,5,6,1] [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>[3,5,6,7,4,2,1]=>[2,4,3,7,5,6,1] [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[3,4,8,7,6,5,2,1]=>[3,4,7,6,5,2,1]=>[2,5,3,4,6,7,1] [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[5,4,6,7,3,2,1]=>[2,3,7,5,4,6,1] [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[2,5,6,7,8,4,3,1]=>[2,5,6,7,4,3,1]=>[3,2,4,7,5,6,1] [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[2,4,8,7,6,5,3,1]=>[2,4,7,6,5,3,1]=>[3,2,5,4,6,7,1] [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[2,7,6,5,4,8,3,1]=>[2,7,6,5,4,3,1]=>[3,2,4,5,6,7,1] [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[2,3,5,6,7,8,4,1]=>[2,3,5,6,7,4,1]=>[4,2,3,7,5,6,1] [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[4,3,2,8,7,6,5,1]=>[4,3,2,7,6,5,1]=>[5,3,4,2,6,7,1] [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[3,4,2,8,7,6,5,1]=>[3,4,2,7,6,5,1]=>[5,4,3,2,6,7,1] [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[2,4,3,8,7,6,5,1]=>[2,4,3,7,6,5,1]=>[5,2,4,3,6,7,1] [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[3,2,4,8,7,6,5,1]=>[3,2,4,7,6,5,1]=>[5,3,2,4,6,7,1] [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[2,3,4,8,7,6,5,1]=>[2,3,4,7,6,5,1]=>[5,2,3,4,6,7,1] [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[5,4,3,2,8,7,6,1]=>[5,4,3,2,7,6,1]=>[6,3,4,5,2,7,1] [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[5,4,3,2,7,8,6,1]=>[5,4,3,2,7,6,1]=>[6,3,4,5,2,7,1] [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[2,5,4,3,8,7,6,1]=>[2,5,4,3,7,6,1]=>[6,2,4,5,3,7,1] [.,[[[.,.],[.,[.,.]]],[[.,.],.]]]=>[2,5,4,3,7,8,6,1]=>[2,5,4,3,7,6,1]=>[6,2,4,5,3,7,1] [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[2,4,3,6,5,8,7,1]=>[2,4,3,6,5,7,1]=>[7,2,4,3,6,5,1] [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[5,4,3,2,6,8,7,1]=>[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1] [.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[2,5,4,3,6,8,7,1]=>[2,5,4,3,6,7,1]=>[7,2,4,5,3,6,1] [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,1]=>[2,7,6,5,4,3,1] [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[5,4,3,2,7,6,8,1]=>[5,4,3,2,7,6,1]=>[6,3,4,5,2,7,1] [.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[2,5,4,3,7,6,8,1]=>[2,5,4,3,7,6,1]=>[6,2,4,5,3,7,1] [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1] [.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[2,5,4,3,6,7,8,1]=>[2,5,4,3,6,7,1]=>[7,2,4,5,3,6,1] [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[1,6,7,8,5,4,3,2]=>[1,6,7,5,4,3,2]=>[1,3,4,5,7,6,2] [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[1,7,6,5,8,4,3,2]=>[1,7,6,5,4,3,2]=>[1,3,4,5,6,7,2] [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[1,5,6,7,8,4,3,2]=>[1,5,6,7,4,3,2]=>[1,3,4,7,5,6,2] [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[1,4,8,7,6,5,3,2]=>[1,4,7,6,5,3,2]=>[1,3,5,4,6,7,2] [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[1,3,5,7,8,6,4,2]=>[1,3,5,7,6,4,2]=>[1,4,3,6,5,7,2] [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[1,3,6,5,7,8,4,2]=>[1,3,6,5,7,4,2]=>[1,4,3,7,6,5,2] [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,4,2]=>[1,4,3,7,5,6,2] [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[1,4,3,8,7,6,5,2]=>[1,4,3,7,6,5,2]=>[1,5,4,3,6,7,2] [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[1,4,3,7,8,6,5,2]=>[1,4,3,7,6,5,2]=>[1,5,4,3,6,7,2] [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[1,3,4,8,7,6,5,2]=>[1,3,4,7,6,5,2]=>[1,5,3,4,6,7,2] [[.,.],[[.,[.,[[.,.],.]]],[.,.]]]=>[1,5,6,4,3,8,7,2]=>[1,5,6,4,3,7,2]=>[1,7,4,6,5,3,2] [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[1,4,3,6,5,7,2]=>[1,7,4,3,6,5,2] [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[1,5,4,3,6,7,8,2]=>[1,5,4,3,6,7,2]=>[1,7,4,5,3,6,2] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[2,1,8,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3] [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[2,1,6,7,5,4,3]=>[2,1,4,5,7,6,3] [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[2,1,7,6,5,8,4,3]=>[2,1,7,6,5,4,3]=>[2,1,4,5,6,7,3] [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[2,1,6,7,5,8,4,3]=>[2,1,6,7,5,4,3]=>[2,1,4,5,7,6,3] [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[2,1,5,6,7,8,4,3]=>[2,1,5,6,7,4,3]=>[2,1,4,7,5,6,3] [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[2,1,4,8,7,6,5,3]=>[2,1,4,7,6,5,3]=>[2,1,5,4,6,7,3] [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[2,1,4,5,8,7,6,3]=>[2,1,4,5,7,6,3]=>[2,1,6,4,5,7,3] [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[2,1,4,6,5,8,7,3]=>[2,1,4,6,5,7,3]=>[2,1,7,4,6,5,3] [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,4,3]=>[1,2,4,7,5,6,3] [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[1,2,4,8,7,6,5,3]=>[1,2,4,7,6,5,3]=>[1,2,5,4,6,7,3] [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[3,2,1,8,7,6,5,4]=>[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4] [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[3,2,1,7,8,6,5,4]=>[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4] [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[3,2,1,6,8,7,5,4]=>[3,2,1,6,7,5,4]=>[2,3,1,5,7,6,4] [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[3,2,1,7,6,8,5,4]=>[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4] [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[3,2,1,6,7,8,5,4]=>[3,2,1,6,7,5,4]=>[2,3,1,5,7,6,4] [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[3,2,1,5,8,7,6,4]=>[3,2,1,5,7,6,4]=>[2,3,1,6,5,7,4] [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[3,2,1,5,7,8,6,4]=>[3,2,1,5,7,6,4]=>[2,3,1,6,5,7,4] [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[3,2,1,6,5,8,7,4]=>[3,2,1,6,5,7,4]=>[2,3,1,7,6,5,4] [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[3,2,1,5,6,8,7,4]=>[3,2,1,5,6,7,4]=>[2,3,1,7,5,6,4] [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[3,2,1,7,6,5,8,4]=>[3,2,1,7,6,5,4]=>[2,3,1,5,6,7,4] [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[3,2,1,6,7,5,8,4]=>[3,2,1,6,7,5,4]=>[2,3,1,5,7,6,4] [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[3,2,1,5,7,6,8,4]=>[3,2,1,5,7,6,4]=>[2,3,1,6,5,7,4] [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[3,2,1,6,5,7,8,4]=>[3,2,1,6,5,7,4]=>[2,3,1,7,6,5,4] [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[3,2,1,5,6,7,8,4]=>[3,2,1,5,6,7,4]=>[2,3,1,7,5,6,4] [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[2,3,1,8,7,6,5,4]=>[2,3,1,7,6,5,4]=>[3,2,1,5,6,7,4] [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[1,3,2,8,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,3,2,5,6,7,4] [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[2,1,3,8,7,6,5,4]=>[2,1,3,7,6,5,4]=>[2,1,3,5,6,7,4] [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[1,2,3,8,7,6,5,4]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4] [[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[1,2,3,7,8,6,5,4]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4] [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[1,2,3,6,8,7,5,4]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4] [[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[1,2,3,7,6,8,5,4]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4] [[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[1,2,3,6,7,8,5,4]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4] [[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[1,2,3,5,8,7,6,4]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4] [[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[1,2,3,5,7,8,6,4]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4] [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[1,2,3,6,5,8,7,4]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4] [[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[1,2,3,5,6,8,7,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4] [[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[1,2,3,7,6,5,8,4]=>[1,2,3,7,6,5,4]=>[1,2,3,5,6,7,4] [[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[1,2,3,6,7,5,8,4]=>[1,2,3,6,7,5,4]=>[1,2,3,5,7,6,4] [[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[1,2,3,5,7,6,8,4]=>[1,2,3,5,7,6,4]=>[1,2,3,6,5,7,4] [[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[1,2,3,6,5,7,8,4]=>[1,2,3,6,5,7,4]=>[1,2,3,7,6,5,4] [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,4]=>[1,2,3,7,5,6,4] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5] [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[4,3,2,1,7,8,6,5]=>[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5] [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[4,3,2,1,6,8,7,5]=>[4,3,2,1,6,7,5]=>[2,3,4,1,7,6,5] [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[4,3,2,1,7,6,8,5]=>[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5] [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[4,3,2,1,6,7,8,5]=>[4,3,2,1,6,7,5]=>[2,3,4,1,7,6,5] [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[3,4,2,1,8,7,6,5]=>[3,4,2,1,7,6,5]=>[2,4,3,1,6,7,5] [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[3,4,2,1,7,6,5]=>[2,4,3,1,6,7,5] [[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>[3,4,2,1,7,6,8,5]=>[3,4,2,1,7,6,5]=>[2,4,3,1,6,7,5] [[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[3,4,2,1,6,7,8,5]=>[3,4,2,1,6,7,5]=>[2,4,3,1,7,6,5] [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[2,4,3,1,8,7,6,5]=>[2,4,3,1,7,6,5]=>[3,2,4,1,6,7,5] [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[2,4,3,1,6,7,5]=>[3,2,4,1,7,6,5] [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[2,4,3,1,7,6,8,5]=>[2,4,3,1,7,6,5]=>[3,2,4,1,6,7,5] [[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[2,4,3,1,6,7,8,5]=>[2,4,3,1,6,7,5]=>[3,2,4,1,7,6,5] [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[3,2,4,1,8,7,6,5]=>[3,2,4,1,7,6,5]=>[4,3,2,1,6,7,5] [[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[3,2,4,1,7,8,6,5]=>[3,2,4,1,7,6,5]=>[4,3,2,1,6,7,5] [[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[3,2,4,1,6,8,7,5]=>[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5] [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[3,2,4,1,7,6,8,5]=>[3,2,4,1,7,6,5]=>[4,3,2,1,6,7,5] [[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[3,2,4,1,6,7,8,5]=>[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5] [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[2,3,4,1,8,7,6,5]=>[2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5] [[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[2,3,4,1,7,8,6,5]=>[2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5] [[.,[[[.,.],.],.]],[[.,.],[.,.]]]=>[2,3,4,1,6,8,7,5]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5] [[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[2,3,4,1,7,6,8,5]=>[2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5] [[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[2,3,4,1,6,7,8,5]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5] [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[1,4,3,2,8,7,6,5]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5] [[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[1,4,3,2,7,6,8,5]=>[1,4,3,2,7,6,5]=>[1,3,4,2,6,7,5] [[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[1,4,3,2,6,7,8,5]=>[1,4,3,2,6,7,5]=>[1,3,4,2,7,6,5] [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[1,3,4,2,8,7,6,5]=>[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5] [[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[1,3,4,2,7,6,8,5]=>[1,3,4,2,7,6,5]=>[1,4,3,2,6,7,5] [[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[1,3,4,2,6,7,8,5]=>[1,3,4,2,6,7,5]=>[1,4,3,2,7,6,5] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5] [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5] [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5] [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[2,1,4,3,7,6,8,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,6,7,5] [[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[2,1,4,3,6,7,8,5]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,6,5] [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5] [[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[1,2,4,3,7,6,8,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,6,7,5] [[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[1,2,4,3,6,7,8,5]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,6,5] [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[3,2,1,4,8,7,6,5]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5] [[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[3,2,1,4,7,8,6,5]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5] [[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[3,2,1,4,7,6,8,5]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5] [[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[3,2,1,4,6,7,8,5]=>[3,2,1,4,6,7,5]=>[2,3,1,4,7,6,5] [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[2,3,1,4,8,7,6,5]=>[2,3,1,4,7,6,5]=>[3,2,1,4,6,7,5] [[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[2,3,1,4,7,6,8,5]=>[2,3,1,4,7,6,5]=>[3,2,1,4,6,7,5] [[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[2,3,1,4,6,7,8,5]=>[2,3,1,4,6,7,5]=>[3,2,1,4,7,6,5] [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5] [[[[.,.],[.,.]],.],[[.,[.,.]],.]]=>[1,3,2,4,7,6,8,5]=>[1,3,2,4,7,6,5]=>[1,3,2,4,6,7,5] [[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[1,3,2,4,6,7,8,5]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,6,5] [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5] [[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[2,1,3,4,7,6,8,5]=>[2,1,3,4,7,6,5]=>[2,1,3,4,6,7,5] [[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[2,1,3,4,6,7,8,5]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,6,5] [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5] [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,7,5] [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,6,5] [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[5,4,3,2,1,8,7,6]=>[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6] [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[5,4,3,2,1,7,8,6]=>[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6] [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[4,5,3,2,1,8,7,6]=>[4,5,3,2,1,7,6]=>[2,3,5,4,1,7,6] [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[3,5,4,2,1,8,7,6]=>[3,5,4,2,1,7,6]=>[2,4,3,5,1,7,6] [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[4,3,5,2,1,8,7,6]=>[4,3,5,2,1,7,6]=>[2,5,4,3,1,7,6] [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[3,4,5,2,1,8,7,6]=>[3,4,5,2,1,7,6]=>[2,5,3,4,1,7,6] [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[2,5,4,3,1,8,7,6]=>[2,5,4,3,1,7,6]=>[3,2,4,5,1,7,6] [[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[2,4,5,3,1,8,7,6]=>[2,4,5,3,1,7,6]=>[3,2,5,4,1,7,6] [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[3,2,5,4,1,8,7,6]=>[3,2,5,4,1,7,6]=>[4,3,2,5,1,7,6] [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[2,3,5,4,1,8,7,6]=>[2,3,5,4,1,7,6]=>[4,2,3,5,1,7,6] [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[4,3,2,5,1,8,7,6]=>[4,3,2,5,1,7,6]=>[5,3,4,2,1,7,6] [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[3,4,2,5,1,8,7,6]=>[3,4,2,5,1,7,6]=>[5,4,3,2,1,7,6] [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[2,4,3,5,1,8,7,6]=>[2,4,3,5,1,7,6]=>[5,2,4,3,1,7,6] [[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>[3,2,4,5,1,8,7,6]=>[3,2,4,5,1,7,6]=>[5,3,2,4,1,7,6] [[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[2,3,4,5,1,8,7,6]=>[2,3,4,5,1,7,6]=>[5,2,3,4,1,7,6] [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6] [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6] [[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[3,2,4,1,5,8,7,6]=>[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6] [[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[3,2,4,1,5,7,8,6]=>[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6] [[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[2,3,4,1,5,8,7,6]=>[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6] [[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[2,3,4,1,5,7,8,6]=>[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6] [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[6,5,4,3,2,1,8,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,1,7] [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[4,5,6,3,2,1,7]=>[2,3,6,4,5,1,7] [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[5,4,3,6,2,1,8,7]=>[5,4,3,6,2,1,7]=>[2,6,4,5,3,1,7] [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[4,5,3,6,2,1,8,7]=>[4,5,3,6,2,1,7]=>[2,6,5,4,3,1,7] [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[2,3,6,5,4,1,8,7]=>[2,3,6,5,4,1,7]=>[4,2,3,5,6,1,7] [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[2,4,3,6,5,1,8,7]=>[2,4,3,6,5,1,7]=>[5,2,4,3,6,1,7] [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[5,4,3,2,6,1,8,7]=>[5,4,3,2,6,1,7]=>[6,3,4,5,2,1,7] [[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[4,5,3,2,6,1,8,7]=>[4,5,3,2,6,1,7]=>[6,3,5,4,2,1,7] [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[2,1,6,5,4,3,8,7]=>[2,1,6,5,4,3,7]=>[2,1,4,5,6,3,7] [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[2,1,5,6,4,3,8,7]=>[2,1,5,6,4,3,7]=>[2,1,4,6,5,3,7] [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,6,5,3,8,7]=>[2,1,4,6,5,3,7]=>[2,1,5,4,6,3,7] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,7]=>[2,3,4,1,6,5,7] [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[3,4,2,1,6,5,7]=>[2,4,3,1,6,5,7] [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7]=>[2,4,3,1,6,5,7]=>[3,2,4,1,6,5,7] [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[3,2,4,1,6,5,8,7]=>[3,2,4,1,6,5,7]=>[4,3,2,1,6,5,7] [[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[2,3,4,1,6,5,8,7]=>[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7] [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[5,4,3,2,1,6,8,7]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7] [[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[2,1,5,4,3,6,8,7]=>[2,1,5,4,3,6,7]=>[2,1,4,5,3,6,7] [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,7]=>[2,3,4,1,5,6,7] [[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[3,2,4,1,5,6,8,7]=>[3,2,4,1,5,6,7]=>[4,3,2,1,5,6,7] [[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[2,3,4,1,5,6,8,7]=>[2,3,4,1,5,6,7]=>[4,2,3,1,5,6,7] [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[5,6,7,4,3,2,1]=>[2,3,4,7,5,6,1] [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[4,7,6,5,3,2,1,8]=>[4,7,6,5,3,2,1]=>[2,3,5,4,6,7,1] [[.,[[.,[.,.]],[.,[[.,.],.]]]],.]=>[3,2,6,7,5,4,1,8]=>[3,2,6,7,5,4,1]=>[4,3,2,5,7,6,1] [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[5,4,3,2,7,6,1,8]=>[5,4,3,2,7,6,1]=>[6,3,4,5,2,7,1] [[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[4,5,3,2,7,6,1,8]=>[4,5,3,2,7,6,1]=>[6,3,5,4,2,7,1] [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[3,5,4,2,7,6,1,8]=>[3,5,4,2,7,6,1]=>[6,4,3,5,2,7,1] [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[3,2,5,4,7,6,1,8]=>[3,2,5,4,7,6,1]=>[6,3,2,5,4,7,1] [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[5,4,3,2,6,7,1]=>[7,3,4,5,2,6,1] [[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[3,5,4,2,6,7,1,8]=>[3,5,4,2,6,7,1]=>[7,4,3,5,2,6,1] [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5]=>[2,3,4,1,6,7,5] [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[4,3,2,1,6,7,5,8]=>[4,3,2,1,6,7,5]=>[2,3,4,1,7,6,5] [[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[3,2,4,1,7,6,5,8]=>[3,2,4,1,7,6,5]=>[4,3,2,1,6,7,5] [[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>[3,2,4,1,6,7,5,8]=>[3,2,4,1,6,7,5]=>[4,3,2,1,7,6,5] [[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[2,3,4,1,7,6,5,8]=>[2,3,4,1,7,6,5]=>[4,2,3,1,6,7,5] [[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[2,3,4,1,6,7,5,8]=>[2,3,4,1,6,7,5]=>[4,2,3,1,7,6,5] [[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[3,2,1,4,7,6,5,8]=>[3,2,1,4,7,6,5]=>[2,3,1,4,6,7,5] [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[5,4,3,2,1,7,6,8]=>[5,4,3,2,1,7,6]=>[2,3,4,5,1,7,6] [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[3,2,1,5,4,7,6,8]=>[3,2,1,5,4,7,6]=>[2,3,1,5,4,7,6] [[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[1,3,2,5,4,7,6,8]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[1,2,3,5,4,7,6,8]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6]=>[2,3,4,1,5,7,6] [[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>[3,2,4,1,5,7,6,8]=>[3,2,4,1,5,7,6]=>[4,3,2,1,5,7,6] [[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[2,3,4,1,5,7,6,8]=>[2,3,4,1,5,7,6]=>[4,2,3,1,5,7,6] [[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[1,3,2,4,5,7,6,8]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [[[[[[[.,.],.],.],.],.],[.,.]],.]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[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] [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7]=>[2,3,4,1,6,5,7] [[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[3,2,4,1,6,5,7,8]=>[3,2,4,1,6,5,7]=>[4,3,2,1,6,5,7] [[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[2,3,4,1,6,5,7,8]=>[2,3,4,1,6,5,7]=>[4,2,3,1,6,5,7] [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7]=>[2,3,4,5,1,6,7] [[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[1,3,2,5,4,6,7,8]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7] [[[[[[[.,.],.],.],[.,.]],.],.],.]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7] [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[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] [[[[[[[.,.],[.,.]],.],.],.],.],.]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
Map
to 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
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.
This map is similar to Mp00235descent views to invisible inversion bottoms, but different beginning with permutations of six elements.
An invisible inversion of a permutation $\sigma$ is a pair $i < j$ such that $i < \sigma(j) < \sigma(i)$. The element $\sigma(j)$ is then an invisible inversion bottom.
A descent view in a permutation $\pi$ is an element $\pi(j)$ such that $\pi(i+1) < \pi(j) < \pi(i)$, and additionally the smallest element in the decreasing run containing $\pi(i)$ is smaller than the smallest element in the decreasing run containing $\pi(j)$.
This map is a bijection $\chi:\mathfrak S_n \to \mathfrak S_n$, such that
  • the multiset of descent views in $\pi$ is the multiset of invisible inversion bottoms in $\chi(\pi)$,
  • the set of left-to-right maximima of $\pi$ is the set of maximal elements in the cycles of $\chi(\pi)$,
  • the set of global ascent of $\pi$ is the set of global ascent of $\chi(\pi)$,
  • the set of maximal elements in the decreasing runs of $\pi$ is the set of deficiency positions of $\chi(\pi)$, and
  • the set of minimal elements in the decreasing runs of $\pi$ is the set of deficiency values of $\chi(\pi)$.