Identifier
Mp00014: to 132-avoiding permutationPermutations
Mp00073: Permutations major-index to inversion-number bijectionPermutations
Mp00069: Permutations complementPermutations
Mp00071: Permutations descent compositionInteger compositions
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1]=>[1] [.,[.,.]]=>[2,1]=>[2,1]=>[1,2]=>[2] [[.,.],.]=>[1,2]=>[1,2]=>[2,1]=>[1,1] [.,[.,[.,.]]]=>[3,2,1]=>[3,2,1]=>[1,2,3]=>[3] [.,[[.,.],.]]=>[2,3,1]=>[3,1,2]=>[1,3,2]=>[2,1] [[.,.],[.,.]]=>[3,1,2]=>[1,3,2]=>[3,1,2]=>[1,2] [[.,[.,.]],.]=>[2,1,3]=>[2,1,3]=>[2,3,1]=>[2,1] [[[.,.],.],.]=>[1,2,3]=>[1,2,3]=>[3,2,1]=>[1,1,1] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1]=>[1,2,3,4]=>[4] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[4,3,1,2]=>[1,2,4,3]=>[3,1] [.,[[.,.],[.,.]]]=>[4,2,3,1]=>[4,1,3,2]=>[1,4,2,3]=>[2,2] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[4,2,1,3]=>[1,3,4,2]=>[3,1] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[4,1,2,3]=>[1,4,3,2]=>[2,1,1] [[.,.],[.,[.,.]]]=>[4,3,1,2]=>[1,4,3,2]=>[4,1,2,3]=>[1,3] [[.,.],[[.,.],.]]=>[3,4,1,2]=>[1,4,2,3]=>[4,1,3,2]=>[1,2,1] [[.,[.,.]],[.,.]]=>[4,2,1,3]=>[3,1,4,2]=>[2,4,1,3]=>[2,2] [[[.,.],.],[.,.]]=>[4,1,2,3]=>[1,2,4,3]=>[4,3,1,2]=>[1,1,2] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1,4]=>[2,3,4,1]=>[3,1] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[3,1,2,4]=>[2,4,3,1]=>[2,1,1] [[[.,.],[.,.]],.]=>[3,1,2,4]=>[1,3,2,4]=>[4,2,3,1]=>[1,2,1] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,1,3,4]=>[3,4,2,1]=>[2,1,1] [[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4]=>[4,3,2,1]=>[1,1,1,1] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[5] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[5,4,3,1,2]=>[1,2,3,5,4]=>[4,1] [.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[5,4,1,3,2]=>[1,2,5,3,4]=>[3,2] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[5,4,2,1,3]=>[1,2,4,5,3]=>[4,1] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[3,1,1] [.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[5,1,4,3,2]=>[1,5,2,3,4]=>[2,3] [.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[5,1,4,2,3]=>[1,5,2,4,3]=>[2,2,1] [.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[5,3,1,4,2]=>[1,3,5,2,4]=>[3,2] [.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[5,1,2,4,3]=>[1,5,4,2,3]=>[2,1,2] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[5,3,2,1,4]=>[1,3,4,5,2]=>[4,1] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[5,3,1,2,4]=>[1,3,5,4,2]=>[3,1,1] [.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[5,1,3,2,4]=>[1,5,3,4,2]=>[2,2,1] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[5,2,1,3,4]=>[1,4,5,3,2]=>[3,1,1] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[2,1,1,1] [[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[1,5,4,3,2]=>[5,1,2,3,4]=>[1,4] [[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[1,5,4,2,3]=>[5,1,2,4,3]=>[1,3,1] [[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[1,5,2,4,3]=>[5,1,4,2,3]=>[1,2,2] [[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[1,5,3,2,4]=>[5,1,3,4,2]=>[1,3,1] [[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[1,5,2,3,4]=>[5,1,4,3,2]=>[1,2,1,1] [[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[4,1,5,3,2]=>[2,5,1,3,4]=>[2,3] [[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[4,1,5,2,3]=>[2,5,1,4,3]=>[2,2,1] [[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[5,4,1,2,3]=>[1,1,3] [[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[1,2,5,3,4]=>[5,4,1,3,2]=>[1,1,2,1] [[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[4,3,1,5,2]=>[2,3,5,1,4]=>[3,2] [[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[4,1,2,5,3]=>[2,5,4,1,3]=>[2,1,2] [[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[1,4,2,5,3]=>[5,2,4,1,3]=>[1,2,2] [[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[3,1,2,5,4]=>[3,5,4,1,2]=>[2,1,2] [[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[1,2,3,5,4]=>[5,4,3,1,2]=>[1,1,1,2] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[4,1] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[4,3,1,2,5]=>[2,3,5,4,1]=>[3,1,1] [[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[4,1,3,2,5]=>[2,5,3,4,1]=>[2,2,1] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[4,2,1,3,5]=>[2,4,5,3,1]=>[3,1,1] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[4,1,2,3,5]=>[2,5,4,3,1]=>[2,1,1,1] [[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[1,4,3,2,5]=>[5,2,3,4,1]=>[1,3,1] [[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[1,4,2,3,5]=>[5,2,4,3,1]=>[1,2,1,1] [[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[3,1,4,2,5]=>[3,5,2,4,1]=>[2,2,1] [[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[1,2,4,3,5]=>[5,4,2,3,1]=>[1,1,2,1] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[3,1,1] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[3,1,2,4,5]=>[3,5,4,2,1]=>[2,1,1,1] [[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[5,3,4,2,1]=>[1,2,1,1] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[4,5,3,2,1]=>[2,1,1,1] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[1,1,1,1,1] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[6] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[5,1] [.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[6,5,4,1,3,2]=>[1,2,3,6,4,5]=>[4,2] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>[5,1] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>[4,1,1] [.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[6,5,1,4,3,2]=>[1,2,6,3,4,5]=>[3,3] [.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[6,5,1,4,2,3]=>[1,2,6,3,5,4]=>[3,2,1] [.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[6,5,3,1,4,2]=>[1,2,4,6,3,5]=>[4,2] [.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[6,5,1,2,4,3]=>[1,2,6,5,3,4]=>[3,1,2] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>[5,1] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>[4,1,1] [.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[6,5,1,3,2,4]=>[1,2,6,4,5,3]=>[3,2,1] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>[4,1,1] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>[3,1,1,1] [.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[6,1,5,4,3,2]=>[1,6,2,3,4,5]=>[2,4] [.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[6,1,5,4,2,3]=>[1,6,2,3,5,4]=>[2,3,1] [.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[6,1,5,2,4,3]=>[1,6,2,5,3,4]=>[2,2,2] [.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[6,1,5,3,2,4]=>[1,6,2,4,5,3]=>[2,3,1] [.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[6,1,5,2,3,4]=>[1,6,2,5,4,3]=>[2,2,1,1] [.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[6,4,1,5,3,2]=>[1,3,6,2,4,5]=>[3,3] [.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[6,4,1,5,2,3]=>[1,3,6,2,5,4]=>[3,2,1] [.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[6,1,2,5,4,3]=>[1,6,5,2,3,4]=>[2,1,3] [.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[6,1,2,5,3,4]=>[1,6,5,2,4,3]=>[2,1,2,1] [.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[6,4,3,1,5,2]=>[1,3,4,6,2,5]=>[4,2] [.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[6,4,1,2,5,3]=>[1,3,6,5,2,4]=>[3,1,2] [.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[6,1,4,2,5,3]=>[1,6,3,5,2,4]=>[2,2,2] [.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[6,3,1,2,5,4]=>[1,4,6,5,2,3]=>[3,1,2] [.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4]=>[1,6,5,4,2,3]=>[2,1,1,2] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>[5,1] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>[4,1,1] [.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[6,4,1,3,2,5]=>[1,3,6,4,5,2]=>[3,2,1] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>[4,1,1] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>[3,1,1,1] [.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[6,1,4,3,2,5]=>[1,6,3,4,5,2]=>[2,3,1] [.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[6,1,4,2,3,5]=>[1,6,3,5,4,2]=>[2,2,1,1] [.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[6,3,1,4,2,5]=>[1,4,6,3,5,2]=>[3,2,1] [.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[6,1,2,4,3,5]=>[1,6,5,3,4,2]=>[2,1,2,1] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>[4,1,1] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>[3,1,1,1] [.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[6,1,3,2,4,5]=>[1,6,4,5,3,2]=>[2,2,1,1] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>[3,1,1,1] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[2,1,1,1,1] [[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2]=>[6,1,2,3,4,5]=>[1,5] [[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[1,6,5,4,2,3]=>[6,1,2,3,5,4]=>[1,4,1] [[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[1,6,5,2,4,3]=>[6,1,2,5,3,4]=>[1,3,2] [[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[1,6,5,3,2,4]=>[6,1,2,4,5,3]=>[1,4,1] [[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[1,6,5,2,3,4]=>[6,1,2,5,4,3]=>[1,3,1,1] [[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[1,6,2,5,4,3]=>[6,1,5,2,3,4]=>[1,2,3] [[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[1,6,2,5,3,4]=>[6,1,5,2,4,3]=>[1,2,2,1] [[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[1,6,4,2,5,3]=>[6,1,3,5,2,4]=>[1,3,2] [[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[1,6,2,3,5,4]=>[6,1,5,4,2,3]=>[1,2,1,2] [[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[1,6,4,3,2,5]=>[6,1,3,4,5,2]=>[1,4,1] [[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[1,6,4,2,3,5]=>[6,1,3,5,4,2]=>[1,3,1,1] [[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[1,6,2,4,3,5]=>[6,1,5,3,4,2]=>[1,2,2,1] [[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[1,6,3,2,4,5]=>[6,1,4,5,3,2]=>[1,3,1,1] [[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[1,6,2,3,4,5]=>[6,1,5,4,3,2]=>[1,2,1,1,1] [[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[5,1,6,4,3,2]=>[2,6,1,3,4,5]=>[2,4] [[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[5,1,6,4,2,3]=>[2,6,1,3,5,4]=>[2,3,1] [[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[5,1,6,2,4,3]=>[2,6,1,5,3,4]=>[2,2,2] [[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[5,1,6,3,2,4]=>[2,6,1,4,5,3]=>[2,3,1] [[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[5,1,6,2,3,4]=>[2,6,1,5,4,3]=>[2,2,1,1] [[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3]=>[6,5,1,2,3,4]=>[1,1,4] [[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[1,2,6,5,3,4]=>[6,5,1,2,4,3]=>[1,1,3,1] [[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[1,2,6,3,5,4]=>[6,5,1,4,2,3]=>[1,1,2,2] [[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[1,2,6,4,3,5]=>[6,5,1,3,4,2]=>[1,1,3,1] [[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[1,2,6,3,4,5]=>[6,5,1,4,3,2]=>[1,1,2,1,1] [[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[5,4,1,6,3,2]=>[2,3,6,1,4,5]=>[3,3] [[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[5,4,1,6,2,3]=>[2,3,6,1,5,4]=>[3,2,1] [[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[5,1,2,6,4,3]=>[2,6,5,1,3,4]=>[2,1,3] [[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[5,1,2,6,3,4]=>[2,6,5,1,4,3]=>[2,1,2,1] [[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[1,5,2,6,4,3]=>[6,2,5,1,3,4]=>[1,2,3] [[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[1,5,2,6,3,4]=>[6,2,5,1,4,3]=>[1,2,2,1] [[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[4,1,2,6,5,3]=>[3,6,5,1,2,4]=>[2,1,3] [[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[4,1,2,6,3,5]=>[3,6,5,1,4,2]=>[2,1,2,1] [[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[6,5,4,1,2,3]=>[1,1,1,3] [[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[1,2,3,6,4,5]=>[6,5,4,1,3,2]=>[1,1,1,2,1] [[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[5,4,3,1,6,2]=>[2,3,4,6,1,5]=>[4,2] [[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[5,4,1,2,6,3]=>[2,3,6,5,1,4]=>[3,1,2] [[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[5,1,4,2,6,3]=>[2,6,3,5,1,4]=>[2,2,2] [[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[5,3,1,2,6,4]=>[2,4,6,5,1,3]=>[3,1,2] [[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[5,1,2,3,6,4]=>[2,6,5,4,1,3]=>[2,1,1,2] [[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[1,5,4,2,6,3]=>[6,2,3,5,1,4]=>[1,3,2] [[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[1,5,2,3,6,4]=>[6,2,5,4,1,3]=>[1,2,1,2] [[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[4,1,5,2,6,3]=>[3,6,2,5,1,4]=>[2,2,2] [[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[1,2,5,3,6,4]=>[6,5,2,4,1,3]=>[1,1,2,2] [[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[4,3,1,2,6,5]=>[3,4,6,5,1,2]=>[3,1,2] [[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[4,1,2,3,6,5]=>[3,6,5,4,1,2]=>[2,1,1,2] [[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[1,4,2,3,6,5]=>[6,3,5,4,1,2]=>[1,2,1,2] [[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[3,1,2,4,6,5]=>[4,6,5,3,1,2]=>[2,1,1,2] [[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[6,5,4,3,1,2]=>[1,1,1,1,2] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[5,1] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>[4,1,1] [[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[5,4,1,3,2,6]=>[2,3,6,4,5,1]=>[3,2,1] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>[4,1,1] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>[3,1,1,1] [[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[5,1,4,3,2,6]=>[2,6,3,4,5,1]=>[2,3,1] [[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[5,1,4,2,3,6]=>[2,6,3,5,4,1]=>[2,2,1,1] [[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[5,3,1,4,2,6]=>[2,4,6,3,5,1]=>[3,2,1] [[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[5,1,2,4,3,6]=>[2,6,5,3,4,1]=>[2,1,2,1] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>[4,1,1] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>[3,1,1,1] [[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[5,1,3,2,4,6]=>[2,6,4,5,3,1]=>[2,2,1,1] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>[3,1,1,1] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[2,1,1,1,1] [[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[1,5,4,3,2,6]=>[6,2,3,4,5,1]=>[1,4,1] [[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[1,5,4,2,3,6]=>[6,2,3,5,4,1]=>[1,3,1,1] [[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[1,5,2,4,3,6]=>[6,2,5,3,4,1]=>[1,2,2,1] [[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[1,5,3,2,4,6]=>[6,2,4,5,3,1]=>[1,3,1,1] [[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[1,5,2,3,4,6]=>[6,2,5,4,3,1]=>[1,2,1,1,1] [[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[4,1,5,3,2,6]=>[3,6,2,4,5,1]=>[2,3,1] [[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[4,1,5,2,3,6]=>[3,6,2,5,4,1]=>[2,2,1,1] [[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[1,2,5,4,3,6]=>[6,5,2,3,4,1]=>[1,1,3,1] [[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[1,2,5,3,4,6]=>[6,5,2,4,3,1]=>[1,1,2,1,1] [[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[4,3,1,5,2,6]=>[3,4,6,2,5,1]=>[3,2,1] [[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[4,1,2,5,3,6]=>[3,6,5,2,4,1]=>[2,1,2,1] [[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[1,4,2,5,3,6]=>[6,3,5,2,4,1]=>[1,2,2,1] [[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[3,1,2,5,4,6]=>[4,6,5,2,3,1]=>[2,1,2,1] [[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[6,5,4,2,3,1]=>[1,1,1,2,1] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[4,1,1] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>[3,1,1,1] [[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[4,1,3,2,5,6]=>[3,6,4,5,2,1]=>[2,2,1,1] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>[3,1,1,1] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[2,1,1,1,1] [[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[1,4,3,2,5,6]=>[6,3,4,5,2,1]=>[1,3,1,1] [[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[1,4,2,3,5,6]=>[6,3,5,4,2,1]=>[1,2,1,1,1] [[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[3,1,4,2,5,6]=>[4,6,3,5,2,1]=>[2,2,1,1] [[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[6,5,3,4,2,1]=>[1,1,2,1,1] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[3,1,1,1] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[2,1,1,1,1] [[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[6,4,5,3,2,1]=>[1,2,1,1,1] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[2,1,1,1,1] [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[1,1,1,1,1,1] [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[7] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[6,1] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[7,6,5,4,1,3,2]=>[1,2,3,4,7,5,6]=>[5,2] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>[6,1] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>[5,1,1] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[7,6,5,1,4,3,2]=>[1,2,3,7,4,5,6]=>[4,3] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[7,6,5,1,4,2,3]=>[1,2,3,7,4,6,5]=>[4,2,1] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[7,6,5,3,1,4,2]=>[1,2,3,5,7,4,6]=>[5,2] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[7,6,5,1,2,4,3]=>[1,2,3,7,6,4,5]=>[4,1,2] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>[6,1] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>[5,1,1] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[7,6,5,1,3,2,4]=>[1,2,3,7,5,6,4]=>[4,2,1] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>[5,1,1] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[4,1,1,1] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[7,6,1,5,4,3,2]=>[1,2,7,3,4,5,6]=>[3,4] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[7,6,1,5,4,2,3]=>[1,2,7,3,4,6,5]=>[3,3,1] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[7,6,1,5,2,4,3]=>[1,2,7,3,6,4,5]=>[3,2,2] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[7,6,1,5,3,2,4]=>[1,2,7,3,5,6,4]=>[3,3,1] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[7,6,1,5,2,3,4]=>[1,2,7,3,6,5,4]=>[3,2,1,1] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[7,6,4,1,5,3,2]=>[1,2,4,7,3,5,6]=>[4,3] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[7,6,4,1,5,2,3]=>[1,2,4,7,3,6,5]=>[4,2,1] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[7,6,1,2,5,4,3]=>[1,2,7,6,3,4,5]=>[3,1,3] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[7,6,1,2,5,3,4]=>[1,2,7,6,3,5,4]=>[3,1,2,1] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[7,6,4,3,1,5,2]=>[1,2,4,5,7,3,6]=>[5,2] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[7,6,4,1,2,5,3]=>[1,2,4,7,6,3,5]=>[4,1,2] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[7,6,1,4,2,5,3]=>[1,2,7,4,6,3,5]=>[3,2,2] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[7,6,3,1,2,5,4]=>[1,2,5,7,6,3,4]=>[4,1,2] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[7,6,1,2,3,5,4]=>[1,2,7,6,5,3,4]=>[3,1,1,2] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>[6,1] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>[5,1,1] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[7,6,4,1,3,2,5]=>[1,2,4,7,5,6,3]=>[4,2,1] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>[5,1,1] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>[4,1,1,1] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[7,6,1,4,3,2,5]=>[1,2,7,4,5,6,3]=>[3,3,1] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[7,6,1,4,2,3,5]=>[1,2,7,4,6,5,3]=>[3,2,1,1] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[7,6,3,1,4,2,5]=>[1,2,5,7,4,6,3]=>[4,2,1] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[7,6,1,2,4,3,5]=>[1,2,7,6,4,5,3]=>[3,1,2,1] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>[5,1,1] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>[4,1,1,1] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[7,6,1,3,2,4,5]=>[1,2,7,5,6,4,3]=>[3,2,1,1] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>[4,1,1,1] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>[3,1,1,1,1] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[7,1,6,5,4,3,2]=>[1,7,2,3,4,5,6]=>[2,5] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[7,1,6,5,4,2,3]=>[1,7,2,3,4,6,5]=>[2,4,1] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[7,1,6,5,2,4,3]=>[1,7,2,3,6,4,5]=>[2,3,2] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[7,1,6,5,3,2,4]=>[1,7,2,3,5,6,4]=>[2,4,1] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[7,1,6,5,2,3,4]=>[1,7,2,3,6,5,4]=>[2,3,1,1] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[7,1,6,2,5,4,3]=>[1,7,2,6,3,4,5]=>[2,2,3] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[7,1,6,2,5,3,4]=>[1,7,2,6,3,5,4]=>[2,2,2,1] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[7,1,6,4,2,5,3]=>[1,7,2,4,6,3,5]=>[2,3,2] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[7,1,6,2,3,5,4]=>[1,7,2,6,5,3,4]=>[2,2,1,2] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[7,1,6,4,3,2,5]=>[1,7,2,4,5,6,3]=>[2,4,1] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[7,1,6,4,2,3,5]=>[1,7,2,4,6,5,3]=>[2,3,1,1] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[7,1,6,2,4,3,5]=>[1,7,2,6,4,5,3]=>[2,2,2,1] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[7,1,6,3,2,4,5]=>[1,7,2,5,6,4,3]=>[2,3,1,1] [.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[7,1,6,2,3,4,5]=>[1,7,2,6,5,4,3]=>[2,2,1,1,1] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[7,5,1,6,4,3,2]=>[1,3,7,2,4,5,6]=>[3,4] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[7,5,1,6,4,2,3]=>[1,3,7,2,4,6,5]=>[3,3,1] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[7,5,1,6,2,4,3]=>[1,3,7,2,6,4,5]=>[3,2,2] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[7,5,1,6,3,2,4]=>[1,3,7,2,5,6,4]=>[3,3,1] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[7,5,1,6,2,3,4]=>[1,3,7,2,6,5,4]=>[3,2,1,1] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[7,1,2,6,5,4,3]=>[1,7,6,2,3,4,5]=>[2,1,4] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[7,1,2,6,5,3,4]=>[1,7,6,2,3,5,4]=>[2,1,3,1] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[7,1,2,6,3,5,4]=>[1,7,6,2,5,3,4]=>[2,1,2,2] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[7,1,2,6,4,3,5]=>[1,7,6,2,4,5,3]=>[2,1,3,1] [.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[7,1,2,6,3,4,5]=>[1,7,6,2,5,4,3]=>[2,1,2,1,1] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[7,5,4,1,6,3,2]=>[1,3,4,7,2,5,6]=>[4,3] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[7,5,4,1,6,2,3]=>[1,3,4,7,2,6,5]=>[4,2,1] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[7,5,1,2,6,4,3]=>[1,3,7,6,2,4,5]=>[3,1,3] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[7,5,1,2,6,3,4]=>[1,3,7,6,2,5,4]=>[3,1,2,1] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[7,1,5,2,6,4,3]=>[1,7,3,6,2,4,5]=>[2,2,3] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[7,1,5,2,6,3,4]=>[1,7,3,6,2,5,4]=>[2,2,2,1] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[7,4,1,2,6,5,3]=>[1,4,7,6,2,3,5]=>[3,1,3] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[7,4,1,2,6,3,5]=>[1,4,7,6,2,5,3]=>[3,1,2,1] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[7,1,2,3,6,5,4]=>[1,7,6,5,2,3,4]=>[2,1,1,3] [.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[7,1,2,3,6,4,5]=>[1,7,6,5,2,4,3]=>[2,1,1,2,1] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[7,5,4,3,1,6,2]=>[1,3,4,5,7,2,6]=>[5,2] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[7,5,4,1,2,6,3]=>[1,3,4,7,6,2,5]=>[4,1,2] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[7,5,1,4,2,6,3]=>[1,3,7,4,6,2,5]=>[3,2,2] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[7,5,3,1,2,6,4]=>[1,3,5,7,6,2,4]=>[4,1,2] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[7,5,1,2,3,6,4]=>[1,3,7,6,5,2,4]=>[3,1,1,2] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[7,1,5,4,2,6,3]=>[1,7,3,4,6,2,5]=>[2,3,2] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[7,1,5,2,3,6,4]=>[1,7,3,6,5,2,4]=>[2,2,1,2] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[7,4,1,5,2,6,3]=>[1,4,7,3,6,2,5]=>[3,2,2] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[7,1,2,5,3,6,4]=>[1,7,6,3,5,2,4]=>[2,1,2,2] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[7,4,3,1,2,6,5]=>[1,4,5,7,6,2,3]=>[4,1,2] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[7,4,1,2,3,6,5]=>[1,4,7,6,5,2,3]=>[3,1,1,2] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[7,1,4,2,3,6,5]=>[1,7,4,6,5,2,3]=>[2,2,1,2] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[7,3,1,2,4,6,5]=>[1,5,7,6,4,2,3]=>[3,1,1,2] [.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[7,1,2,3,4,6,5]=>[1,7,6,5,4,2,3]=>[2,1,1,1,2] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>[6,1] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>[5,1,1] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[7,5,4,1,3,2,6]=>[1,3,4,7,5,6,2]=>[4,2,1] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>[5,1,1] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>[4,1,1,1] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[7,5,1,4,3,2,6]=>[1,3,7,4,5,6,2]=>[3,3,1] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[7,5,1,4,2,3,6]=>[1,3,7,4,6,5,2]=>[3,2,1,1] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[7,5,3,1,4,2,6]=>[1,3,5,7,4,6,2]=>[4,2,1] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[7,5,1,2,4,3,6]=>[1,3,7,6,4,5,2]=>[3,1,2,1] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>[5,1,1] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>[4,1,1,1] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[7,5,1,3,2,4,6]=>[1,3,7,5,6,4,2]=>[3,2,1,1] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>[4,1,1,1] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>[3,1,1,1,1] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[7,1,5,4,3,2,6]=>[1,7,3,4,5,6,2]=>[2,4,1] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[7,1,5,4,2,3,6]=>[1,7,3,4,6,5,2]=>[2,3,1,1] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[7,1,5,2,4,3,6]=>[1,7,3,6,4,5,2]=>[2,2,2,1] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[7,1,5,3,2,4,6]=>[1,7,3,5,6,4,2]=>[2,3,1,1] [.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[7,1,5,2,3,4,6]=>[1,7,3,6,5,4,2]=>[2,2,1,1,1] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[7,4,1,5,3,2,6]=>[1,4,7,3,5,6,2]=>[3,3,1] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[7,4,1,5,2,3,6]=>[1,4,7,3,6,5,2]=>[3,2,1,1] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[7,1,2,5,4,3,6]=>[1,7,6,3,4,5,2]=>[2,1,3,1] [.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[7,1,2,5,3,4,6]=>[1,7,6,3,5,4,2]=>[2,1,2,1,1] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[7,4,3,1,5,2,6]=>[1,4,5,7,3,6,2]=>[4,2,1] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[7,4,1,2,5,3,6]=>[1,4,7,6,3,5,2]=>[3,1,2,1] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[7,1,4,2,5,3,6]=>[1,7,4,6,3,5,2]=>[2,2,2,1] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[7,3,1,2,5,4,6]=>[1,5,7,6,3,4,2]=>[3,1,2,1] [.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[7,1,2,3,5,4,6]=>[1,7,6,5,3,4,2]=>[2,1,1,2,1] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>[5,1,1] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>[4,1,1,1] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[7,4,1,3,2,5,6]=>[1,4,7,5,6,3,2]=>[3,2,1,1] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>[4,1,1,1] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>[3,1,1,1,1] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[7,1,4,3,2,5,6]=>[1,7,4,5,6,3,2]=>[2,3,1,1] [.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[7,1,4,2,3,5,6]=>[1,7,4,6,5,3,2]=>[2,2,1,1,1] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[7,3,1,4,2,5,6]=>[1,5,7,4,6,3,2]=>[3,2,1,1] [.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[7,1,2,4,3,5,6]=>[1,7,6,4,5,3,2]=>[2,1,2,1,1] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>[4,1,1,1] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[3,1,1,1,1] [.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[7,1,3,2,4,5,6]=>[1,7,5,6,4,3,2]=>[2,2,1,1,1] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>[3,1,1,1,1] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[2,1,1,1,1,1] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]=>[7,1,2,3,4,5,6]=>[1,6] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[1,7,6,5,4,2,3]=>[7,1,2,3,4,6,5]=>[1,5,1] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[1,7,6,5,2,4,3]=>[7,1,2,3,6,4,5]=>[1,4,2] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[1,7,6,5,3,2,4]=>[7,1,2,3,5,6,4]=>[1,5,1] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[1,7,6,5,2,3,4]=>[7,1,2,3,6,5,4]=>[1,4,1,1] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[1,7,6,2,5,4,3]=>[7,1,2,6,3,4,5]=>[1,3,3] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[1,7,6,2,5,3,4]=>[7,1,2,6,3,5,4]=>[1,3,2,1] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[1,7,6,4,2,5,3]=>[7,1,2,4,6,3,5]=>[1,4,2] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[1,7,6,2,3,5,4]=>[7,1,2,6,5,3,4]=>[1,3,1,2] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[1,7,6,4,3,2,5]=>[7,1,2,4,5,6,3]=>[1,5,1] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[1,7,6,4,2,3,5]=>[7,1,2,4,6,5,3]=>[1,4,1,1] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[1,7,6,2,4,3,5]=>[7,1,2,6,4,5,3]=>[1,3,2,1] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[1,7,6,3,2,4,5]=>[7,1,2,5,6,4,3]=>[1,4,1,1] [[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[1,7,6,2,3,4,5]=>[7,1,2,6,5,4,3]=>[1,3,1,1,1] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[1,7,2,6,5,4,3]=>[7,1,6,2,3,4,5]=>[1,2,4] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[1,7,2,6,5,3,4]=>[7,1,6,2,3,5,4]=>[1,2,3,1] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[1,7,2,6,3,5,4]=>[7,1,6,2,5,3,4]=>[1,2,2,2] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[1,7,2,6,4,3,5]=>[7,1,6,2,4,5,3]=>[1,2,3,1] [[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[1,7,2,6,3,4,5]=>[7,1,6,2,5,4,3]=>[1,2,2,1,1] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[1,7,5,2,6,4,3]=>[7,1,3,6,2,4,5]=>[1,3,3] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[1,7,5,2,6,3,4]=>[7,1,3,6,2,5,4]=>[1,3,2,1] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[1,7,2,3,6,5,4]=>[7,1,6,5,2,3,4]=>[1,2,1,3] [[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[1,7,2,3,6,4,5]=>[7,1,6,5,2,4,3]=>[1,2,1,2,1] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[1,7,5,4,2,6,3]=>[7,1,3,4,6,2,5]=>[1,4,2] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[1,7,5,2,3,6,4]=>[7,1,3,6,5,2,4]=>[1,3,1,2] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[1,7,2,5,3,6,4]=>[7,1,6,3,5,2,4]=>[1,2,2,2] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[1,7,4,2,3,6,5]=>[7,1,4,6,5,2,3]=>[1,3,1,2] [[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[1,7,2,3,4,6,5]=>[7,1,6,5,4,2,3]=>[1,2,1,1,2] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[1,7,5,4,3,2,6]=>[7,1,3,4,5,6,2]=>[1,5,1] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[1,7,5,4,2,3,6]=>[7,1,3,4,6,5,2]=>[1,4,1,1] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[1,7,5,2,4,3,6]=>[7,1,3,6,4,5,2]=>[1,3,2,1] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[1,7,5,3,2,4,6]=>[7,1,3,5,6,4,2]=>[1,4,1,1] [[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[1,7,5,2,3,4,6]=>[7,1,3,6,5,4,2]=>[1,3,1,1,1] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[1,7,2,5,4,3,6]=>[7,1,6,3,4,5,2]=>[1,2,3,1] [[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[1,7,2,5,3,4,6]=>[7,1,6,3,5,4,2]=>[1,2,2,1,1] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[1,7,4,2,5,3,6]=>[7,1,4,6,3,5,2]=>[1,3,2,1] [[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[1,7,2,3,5,4,6]=>[7,1,6,5,3,4,2]=>[1,2,1,2,1] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[1,7,4,3,2,5,6]=>[7,1,4,5,6,3,2]=>[1,4,1,1] [[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[1,7,4,2,3,5,6]=>[7,1,4,6,5,3,2]=>[1,3,1,1,1] [[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[1,7,2,4,3,5,6]=>[7,1,6,4,5,3,2]=>[1,2,2,1,1] [[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[1,7,3,2,4,5,6]=>[7,1,5,6,4,3,2]=>[1,3,1,1,1] [[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[1,7,2,3,4,5,6]=>[7,1,6,5,4,3,2]=>[1,2,1,1,1,1] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[6,1,7,5,4,3,2]=>[2,7,1,3,4,5,6]=>[2,5] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[6,1,7,5,4,2,3]=>[2,7,1,3,4,6,5]=>[2,4,1] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[6,1,7,5,2,4,3]=>[2,7,1,3,6,4,5]=>[2,3,2] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[6,1,7,5,3,2,4]=>[2,7,1,3,5,6,4]=>[2,4,1] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[6,1,7,5,2,3,4]=>[2,7,1,3,6,5,4]=>[2,3,1,1] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[6,1,7,2,5,4,3]=>[2,7,1,6,3,4,5]=>[2,2,3] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[6,1,7,2,5,3,4]=>[2,7,1,6,3,5,4]=>[2,2,2,1] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[6,1,7,4,2,5,3]=>[2,7,1,4,6,3,5]=>[2,3,2] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[6,1,7,2,3,5,4]=>[2,7,1,6,5,3,4]=>[2,2,1,2] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[6,1,7,4,3,2,5]=>[2,7,1,4,5,6,3]=>[2,4,1] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[6,1,7,4,2,3,5]=>[2,7,1,4,6,5,3]=>[2,3,1,1] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[6,1,7,2,4,3,5]=>[2,7,1,6,4,5,3]=>[2,2,2,1] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[6,1,7,3,2,4,5]=>[2,7,1,5,6,4,3]=>[2,3,1,1] [[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[6,1,7,2,3,4,5]=>[2,7,1,6,5,4,3]=>[2,2,1,1,1] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]=>[7,6,1,2,3,4,5]=>[1,1,5] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[1,2,7,6,5,3,4]=>[7,6,1,2,3,5,4]=>[1,1,4,1] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[1,2,7,6,3,5,4]=>[7,6,1,2,5,3,4]=>[1,1,3,2] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[1,2,7,6,4,3,5]=>[7,6,1,2,4,5,3]=>[1,1,4,1] [[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[1,2,7,6,3,4,5]=>[7,6,1,2,5,4,3]=>[1,1,3,1,1] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[1,2,7,3,6,5,4]=>[7,6,1,5,2,3,4]=>[1,1,2,3] [[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[1,2,7,3,6,4,5]=>[7,6,1,5,2,4,3]=>[1,1,2,2,1] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[1,2,7,5,3,6,4]=>[7,6,1,3,5,2,4]=>[1,1,3,2] [[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[1,2,7,3,4,6,5]=>[7,6,1,5,4,2,3]=>[1,1,2,1,2] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[1,2,7,5,4,3,6]=>[7,6,1,3,4,5,2]=>[1,1,4,1] [[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[1,2,7,5,3,4,6]=>[7,6,1,3,5,4,2]=>[1,1,3,1,1] [[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[1,2,7,3,5,4,6]=>[7,6,1,5,3,4,2]=>[1,1,2,2,1] [[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[1,2,7,4,3,5,6]=>[7,6,1,4,5,3,2]=>[1,1,3,1,1] [[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[1,2,7,3,4,5,6]=>[7,6,1,5,4,3,2]=>[1,1,2,1,1,1] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[6,5,1,7,4,3,2]=>[2,3,7,1,4,5,6]=>[3,4] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[6,5,1,7,4,2,3]=>[2,3,7,1,4,6,5]=>[3,3,1] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[6,5,1,7,2,4,3]=>[2,3,7,1,6,4,5]=>[3,2,2] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[6,5,1,7,3,2,4]=>[2,3,7,1,5,6,4]=>[3,3,1] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[6,5,1,7,2,3,4]=>[2,3,7,1,6,5,4]=>[3,2,1,1] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[6,1,2,7,5,4,3]=>[2,7,6,1,3,4,5]=>[2,1,4] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[6,1,2,7,5,3,4]=>[2,7,6,1,3,5,4]=>[2,1,3,1] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[6,1,2,7,3,5,4]=>[2,7,6,1,5,3,4]=>[2,1,2,2] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[6,1,2,7,4,3,5]=>[2,7,6,1,4,5,3]=>[2,1,3,1] [[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[6,1,2,7,3,4,5]=>[2,7,6,1,5,4,3]=>[2,1,2,1,1] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[1,6,2,7,5,4,3]=>[7,2,6,1,3,4,5]=>[1,2,4] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[1,6,2,7,5,3,4]=>[7,2,6,1,3,5,4]=>[1,2,3,1] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[1,6,2,7,3,5,4]=>[7,2,6,1,5,3,4]=>[1,2,2,2] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[1,6,2,7,4,3,5]=>[7,2,6,1,4,5,3]=>[1,2,3,1] [[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[1,6,2,7,3,4,5]=>[7,2,6,1,5,4,3]=>[1,2,2,1,1] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[5,1,2,7,6,4,3]=>[3,7,6,1,2,4,5]=>[2,1,4] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[5,1,2,7,6,3,4]=>[3,7,6,1,2,5,4]=>[2,1,3,1] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[5,1,2,7,3,6,4]=>[3,7,6,1,5,2,4]=>[2,1,2,2] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[5,1,2,7,4,3,6]=>[3,7,6,1,4,5,2]=>[2,1,3,1] [[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[5,1,2,7,3,4,6]=>[3,7,6,1,5,4,2]=>[2,1,2,1,1] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[7,6,5,1,2,3,4]=>[1,1,1,4] [[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[1,2,3,7,6,4,5]=>[7,6,5,1,2,4,3]=>[1,1,1,3,1] [[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[1,2,3,7,4,6,5]=>[7,6,5,1,4,2,3]=>[1,1,1,2,2] [[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[1,2,3,7,5,4,6]=>[7,6,5,1,3,4,2]=>[1,1,1,3,1] [[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[1,2,3,7,4,5,6]=>[7,6,5,1,4,3,2]=>[1,1,1,2,1,1] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[6,5,4,1,7,3,2]=>[2,3,4,7,1,5,6]=>[4,3] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[6,5,4,1,7,2,3]=>[2,3,4,7,1,6,5]=>[4,2,1] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[6,5,1,2,7,4,3]=>[2,3,7,6,1,4,5]=>[3,1,3] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[6,5,1,2,7,3,4]=>[2,3,7,6,1,5,4]=>[3,1,2,1] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[6,1,5,2,7,4,3]=>[2,7,3,6,1,4,5]=>[2,2,3] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[6,1,5,2,7,3,4]=>[2,7,3,6,1,5,4]=>[2,2,2,1] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[6,4,1,2,7,5,3]=>[2,4,7,6,1,3,5]=>[3,1,3] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[6,4,1,2,7,3,5]=>[2,4,7,6,1,5,3]=>[3,1,2,1] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[6,1,2,3,7,5,4]=>[2,7,6,5,1,3,4]=>[2,1,1,3] [[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[6,1,2,3,7,4,5]=>[2,7,6,5,1,4,3]=>[2,1,1,2,1] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[1,6,5,2,7,4,3]=>[7,2,3,6,1,4,5]=>[1,3,3] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[1,6,5,2,7,3,4]=>[7,2,3,6,1,5,4]=>[1,3,2,1] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[1,6,2,3,7,5,4]=>[7,2,6,5,1,3,4]=>[1,2,1,3] [[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[1,6,2,3,7,4,5]=>[7,2,6,5,1,4,3]=>[1,2,1,2,1] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[5,1,6,2,7,4,3]=>[3,7,2,6,1,4,5]=>[2,2,3] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[5,1,6,2,7,3,4]=>[3,7,2,6,1,5,4]=>[2,2,2,1] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[1,2,6,3,7,5,4]=>[7,6,2,5,1,3,4]=>[1,1,2,3] [[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[1,2,6,3,7,4,5]=>[7,6,2,5,1,4,3]=>[1,1,2,2,1] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[5,4,1,2,7,6,3]=>[3,4,7,6,1,2,5]=>[3,1,3] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[5,4,1,2,7,3,6]=>[3,4,7,6,1,5,2]=>[3,1,2,1] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[5,1,2,3,7,6,4]=>[3,7,6,5,1,2,4]=>[2,1,1,3] [[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[5,1,2,3,7,4,6]=>[3,7,6,5,1,4,2]=>[2,1,1,2,1] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[1,5,2,3,7,6,4]=>[7,3,6,5,1,2,4]=>[1,2,1,3] [[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[1,5,2,3,7,4,6]=>[7,3,6,5,1,4,2]=>[1,2,1,2,1] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[4,1,2,3,7,6,5]=>[4,7,6,5,1,2,3]=>[2,1,1,3] [[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[4,1,2,3,7,5,6]=>[4,7,6,5,1,3,2]=>[2,1,1,2,1] [[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[7,6,5,4,1,2,3]=>[1,1,1,1,3] [[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[1,2,3,4,7,5,6]=>[7,6,5,4,1,3,2]=>[1,1,1,1,2,1] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[6,5,4,3,1,7,2]=>[2,3,4,5,7,1,6]=>[5,2] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[6,5,4,1,2,7,3]=>[2,3,4,7,6,1,5]=>[4,1,2] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[6,5,1,4,2,7,3]=>[2,3,7,4,6,1,5]=>[3,2,2] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[6,5,3,1,2,7,4]=>[2,3,5,7,6,1,4]=>[4,1,2] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[6,5,1,2,3,7,4]=>[2,3,7,6,5,1,4]=>[3,1,1,2] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[6,1,5,4,2,7,3]=>[2,7,3,4,6,1,5]=>[2,3,2] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[6,1,5,2,3,7,4]=>[2,7,3,6,5,1,4]=>[2,2,1,2] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[6,4,1,5,2,7,3]=>[2,4,7,3,6,1,5]=>[3,2,2] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[6,1,2,5,3,7,4]=>[2,7,6,3,5,1,4]=>[2,1,2,2] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[6,4,3,1,2,7,5]=>[2,4,5,7,6,1,3]=>[4,1,2] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[6,4,1,2,3,7,5]=>[2,4,7,6,5,1,3]=>[3,1,1,2] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[6,1,4,2,3,7,5]=>[2,7,4,6,5,1,3]=>[2,2,1,2] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[6,3,1,2,4,7,5]=>[2,5,7,6,4,1,3]=>[3,1,1,2] [[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[6,1,2,3,4,7,5]=>[2,7,6,5,4,1,3]=>[2,1,1,1,2] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[1,6,5,4,2,7,3]=>[7,2,3,4,6,1,5]=>[1,4,2] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[1,6,5,2,3,7,4]=>[7,2,3,6,5,1,4]=>[1,3,1,2] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[1,6,2,5,3,7,4]=>[7,2,6,3,5,1,4]=>[1,2,2,2] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[1,6,4,2,3,7,5]=>[7,2,4,6,5,1,3]=>[1,3,1,2] [[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[1,6,2,3,4,7,5]=>[7,2,6,5,4,1,3]=>[1,2,1,1,2] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[5,1,6,4,2,7,3]=>[3,7,2,4,6,1,5]=>[2,3,2] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[5,1,6,2,3,7,4]=>[3,7,2,6,5,1,4]=>[2,2,1,2] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[1,2,6,5,3,7,4]=>[7,6,2,3,5,1,4]=>[1,1,3,2] [[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[1,2,6,3,4,7,5]=>[7,6,2,5,4,1,3]=>[1,1,2,1,2] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[5,4,1,6,2,7,3]=>[3,4,7,2,6,1,5]=>[3,2,2] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[5,1,2,6,3,7,4]=>[3,7,6,2,5,1,4]=>[2,1,2,2] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[1,5,2,6,3,7,4]=>[7,3,6,2,5,1,4]=>[1,2,2,2] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[4,1,2,6,3,7,5]=>[4,7,6,2,5,1,3]=>[2,1,2,2] [[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[1,2,3,6,4,7,5]=>[7,6,5,2,4,1,3]=>[1,1,1,2,2] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[5,4,3,1,2,7,6]=>[3,4,5,7,6,1,2]=>[4,1,2] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[5,4,1,2,3,7,6]=>[3,4,7,6,5,1,2]=>[3,1,1,2] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[5,1,4,2,3,7,6]=>[3,7,4,6,5,1,2]=>[2,2,1,2] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[5,3,1,2,4,7,6]=>[3,5,7,6,4,1,2]=>[3,1,1,2] [[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[5,1,2,3,4,7,6]=>[3,7,6,5,4,1,2]=>[2,1,1,1,2] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[1,5,4,2,3,7,6]=>[7,3,4,6,5,1,2]=>[1,3,1,2] [[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[1,5,2,3,4,7,6]=>[7,3,6,5,4,1,2]=>[1,2,1,1,2] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[4,1,5,2,3,7,6]=>[4,7,3,6,5,1,2]=>[2,2,1,2] [[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[1,2,5,3,4,7,6]=>[7,6,3,5,4,1,2]=>[1,1,2,1,2] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[4,3,1,2,5,7,6]=>[4,5,7,6,3,1,2]=>[3,1,1,2] [[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[4,1,2,3,5,7,6]=>[4,7,6,5,3,1,2]=>[2,1,1,1,2] [[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[1,4,2,3,5,7,6]=>[7,4,6,5,3,1,2]=>[1,2,1,1,2] [[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[3,1,2,4,5,7,6]=>[5,7,6,4,3,1,2]=>[2,1,1,1,2] [[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[7,6,5,4,3,1,2]=>[1,1,1,1,1,2] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[6,1] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>[5,1,1] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[6,5,4,1,3,2,7]=>[2,3,4,7,5,6,1]=>[4,2,1] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>[5,1,1] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>[4,1,1,1] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[6,5,1,4,3,2,7]=>[2,3,7,4,5,6,1]=>[3,3,1] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[6,5,1,4,2,3,7]=>[2,3,7,4,6,5,1]=>[3,2,1,1] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[6,5,3,1,4,2,7]=>[2,3,5,7,4,6,1]=>[4,2,1] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[6,5,1,2,4,3,7]=>[2,3,7,6,4,5,1]=>[3,1,2,1] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>[5,1,1] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>[4,1,1,1] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[6,5,1,3,2,4,7]=>[2,3,7,5,6,4,1]=>[3,2,1,1] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[4,1,1,1] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[3,1,1,1,1] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[6,1,5,4,3,2,7]=>[2,7,3,4,5,6,1]=>[2,4,1] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[6,1,5,4,2,3,7]=>[2,7,3,4,6,5,1]=>[2,3,1,1] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[6,1,5,2,4,3,7]=>[2,7,3,6,4,5,1]=>[2,2,2,1] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[6,1,5,3,2,4,7]=>[2,7,3,5,6,4,1]=>[2,3,1,1] [[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[6,1,5,2,3,4,7]=>[2,7,3,6,5,4,1]=>[2,2,1,1,1] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[6,4,1,5,3,2,7]=>[2,4,7,3,5,6,1]=>[3,3,1] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[6,4,1,5,2,3,7]=>[2,4,7,3,6,5,1]=>[3,2,1,1] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[6,1,2,5,4,3,7]=>[2,7,6,3,4,5,1]=>[2,1,3,1] [[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[6,1,2,5,3,4,7]=>[2,7,6,3,5,4,1]=>[2,1,2,1,1] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[6,4,3,1,5,2,7]=>[2,4,5,7,3,6,1]=>[4,2,1] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[6,4,1,2,5,3,7]=>[2,4,7,6,3,5,1]=>[3,1,2,1] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[6,1,4,2,5,3,7]=>[2,7,4,6,3,5,1]=>[2,2,2,1] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[6,3,1,2,5,4,7]=>[2,5,7,6,3,4,1]=>[3,1,2,1] [[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[6,1,2,3,5,4,7]=>[2,7,6,5,3,4,1]=>[2,1,1,2,1] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[5,1,1] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[4,1,1,1] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[6,4,1,3,2,5,7]=>[2,4,7,5,6,3,1]=>[3,2,1,1] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[4,1,1,1] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[3,1,1,1,1] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[6,1,4,3,2,5,7]=>[2,7,4,5,6,3,1]=>[2,3,1,1] [[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[6,1,4,2,3,5,7]=>[2,7,4,6,5,3,1]=>[2,2,1,1,1] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[6,3,1,4,2,5,7]=>[2,5,7,4,6,3,1]=>[3,2,1,1] [[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[6,1,2,4,3,5,7]=>[2,7,6,4,5,3,1]=>[2,1,2,1,1] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[4,1,1,1] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[3,1,1,1,1] [[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[6,1,3,2,4,5,7]=>[2,7,5,6,4,3,1]=>[2,2,1,1,1] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[3,1,1,1,1] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[2,1,1,1,1,1] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7]=>[7,2,3,4,5,6,1]=>[1,5,1] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[1,6,5,4,2,3,7]=>[7,2,3,4,6,5,1]=>[1,4,1,1] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[1,6,5,2,4,3,7]=>[7,2,3,6,4,5,1]=>[1,3,2,1] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[1,6,5,3,2,4,7]=>[7,2,3,5,6,4,1]=>[1,4,1,1] [[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[1,6,5,2,3,4,7]=>[7,2,3,6,5,4,1]=>[1,3,1,1,1] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[1,6,2,5,4,3,7]=>[7,2,6,3,4,5,1]=>[1,2,3,1] [[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[1,6,2,5,3,4,7]=>[7,2,6,3,5,4,1]=>[1,2,2,1,1] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[1,6,4,2,5,3,7]=>[7,2,4,6,3,5,1]=>[1,3,2,1] [[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[1,6,2,3,5,4,7]=>[7,2,6,5,3,4,1]=>[1,2,1,2,1] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[1,6,4,3,2,5,7]=>[7,2,4,5,6,3,1]=>[1,4,1,1] [[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[1,6,4,2,3,5,7]=>[7,2,4,6,5,3,1]=>[1,3,1,1,1] [[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[1,6,2,4,3,5,7]=>[7,2,6,4,5,3,1]=>[1,2,2,1,1] [[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[1,6,3,2,4,5,7]=>[7,2,5,6,4,3,1]=>[1,3,1,1,1] [[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[1,6,2,3,4,5,7]=>[7,2,6,5,4,3,1]=>[1,2,1,1,1,1] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[5,1,6,4,3,2,7]=>[3,7,2,4,5,6,1]=>[2,4,1] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[5,1,6,4,2,3,7]=>[3,7,2,4,6,5,1]=>[2,3,1,1] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[5,1,6,2,4,3,7]=>[3,7,2,6,4,5,1]=>[2,2,2,1] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[5,1,6,3,2,4,7]=>[3,7,2,5,6,4,1]=>[2,3,1,1] [[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[5,1,6,2,3,4,7]=>[3,7,2,6,5,4,1]=>[2,2,1,1,1] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]=>[7,6,2,3,4,5,1]=>[1,1,4,1] [[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[1,2,6,5,3,4,7]=>[7,6,2,3,5,4,1]=>[1,1,3,1,1] [[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[1,2,6,3,5,4,7]=>[7,6,2,5,3,4,1]=>[1,1,2,2,1] [[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[1,2,6,4,3,5,7]=>[7,6,2,4,5,3,1]=>[1,1,3,1,1] [[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[1,2,6,3,4,5,7]=>[7,6,2,5,4,3,1]=>[1,1,2,1,1,1] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[5,4,1,6,3,2,7]=>[3,4,7,2,5,6,1]=>[3,3,1] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[5,4,1,6,2,3,7]=>[3,4,7,2,6,5,1]=>[3,2,1,1] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[5,1,2,6,4,3,7]=>[3,7,6,2,4,5,1]=>[2,1,3,1] [[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[5,1,2,6,3,4,7]=>[3,7,6,2,5,4,1]=>[2,1,2,1,1] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[1,5,2,6,4,3,7]=>[7,3,6,2,4,5,1]=>[1,2,3,1] [[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[1,5,2,6,3,4,7]=>[7,3,6,2,5,4,1]=>[1,2,2,1,1] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[4,1,2,6,5,3,7]=>[4,7,6,2,3,5,1]=>[2,1,3,1] [[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[4,1,2,6,3,5,7]=>[4,7,6,2,5,3,1]=>[2,1,2,1,1] [[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[7,6,5,2,3,4,1]=>[1,1,1,3,1] [[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[1,2,3,6,4,5,7]=>[7,6,5,2,4,3,1]=>[1,1,1,2,1,1] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[5,4,3,1,6,2,7]=>[3,4,5,7,2,6,1]=>[4,2,1] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[5,4,1,2,6,3,7]=>[3,4,7,6,2,5,1]=>[3,1,2,1] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[5,1,4,2,6,3,7]=>[3,7,4,6,2,5,1]=>[2,2,2,1] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[5,3,1,2,6,4,7]=>[3,5,7,6,2,4,1]=>[3,1,2,1] [[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[5,1,2,3,6,4,7]=>[3,7,6,5,2,4,1]=>[2,1,1,2,1] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[1,5,4,2,6,3,7]=>[7,3,4,6,2,5,1]=>[1,3,2,1] [[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[1,5,2,3,6,4,7]=>[7,3,6,5,2,4,1]=>[1,2,1,2,1] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[4,1,5,2,6,3,7]=>[4,7,3,6,2,5,1]=>[2,2,2,1] [[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[1,2,5,3,6,4,7]=>[7,6,3,5,2,4,1]=>[1,1,2,2,1] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[4,3,1,2,6,5,7]=>[4,5,7,6,2,3,1]=>[3,1,2,1] [[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[4,1,2,3,6,5,7]=>[4,7,6,5,2,3,1]=>[2,1,1,2,1] [[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[1,4,2,3,6,5,7]=>[7,4,6,5,2,3,1]=>[1,2,1,2,1] [[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[3,1,2,4,6,5,7]=>[5,7,6,4,2,3,1]=>[2,1,1,2,1] [[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[7,6,5,4,2,3,1]=>[1,1,1,1,2,1] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[5,1,1] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>[4,1,1,1] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[5,4,1,3,2,6,7]=>[3,4,7,5,6,2,1]=>[3,2,1,1] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>[4,1,1,1] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>[3,1,1,1,1] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[5,1,4,3,2,6,7]=>[3,7,4,5,6,2,1]=>[2,3,1,1] [[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[5,1,4,2,3,6,7]=>[3,7,4,6,5,2,1]=>[2,2,1,1,1] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[5,3,1,4,2,6,7]=>[3,5,7,4,6,2,1]=>[3,2,1,1] [[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[5,1,2,4,3,6,7]=>[3,7,6,4,5,2,1]=>[2,1,2,1,1] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>[4,1,1,1] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>[3,1,1,1,1] [[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[5,1,3,2,4,6,7]=>[3,7,5,6,4,2,1]=>[2,2,1,1,1] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>[3,1,1,1,1] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[2,1,1,1,1,1] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]=>[7,3,4,5,6,2,1]=>[1,4,1,1] [[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[1,5,4,2,3,6,7]=>[7,3,4,6,5,2,1]=>[1,3,1,1,1] [[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[1,5,2,4,3,6,7]=>[7,3,6,4,5,2,1]=>[1,2,2,1,1] [[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[1,5,3,2,4,6,7]=>[7,3,5,6,4,2,1]=>[1,3,1,1,1] [[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[1,5,2,3,4,6,7]=>[7,3,6,5,4,2,1]=>[1,2,1,1,1,1] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[4,1,5,3,2,6,7]=>[4,7,3,5,6,2,1]=>[2,3,1,1] [[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[4,1,5,2,3,6,7]=>[4,7,3,6,5,2,1]=>[2,2,1,1,1] [[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[7,6,3,4,5,2,1]=>[1,1,3,1,1] [[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[1,2,5,3,4,6,7]=>[7,6,3,5,4,2,1]=>[1,1,2,1,1,1] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[4,3,1,5,2,6,7]=>[4,5,7,3,6,2,1]=>[3,2,1,1] [[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[4,1,2,5,3,6,7]=>[4,7,6,3,5,2,1]=>[2,1,2,1,1] [[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[1,4,2,5,3,6,7]=>[7,4,6,3,5,2,1]=>[1,2,2,1,1] [[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[3,1,2,5,4,6,7]=>[5,7,6,3,4,2,1]=>[2,1,2,1,1] [[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[7,6,5,3,4,2,1]=>[1,1,1,2,1,1] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[4,1,1,1] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>[3,1,1,1,1] [[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[4,1,3,2,5,6,7]=>[4,7,5,6,3,2,1]=>[2,2,1,1,1] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[3,1,1,1,1] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[2,1,1,1,1,1] [[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[7,4,5,6,3,2,1]=>[1,3,1,1,1] [[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[1,4,2,3,5,6,7]=>[7,4,6,5,3,2,1]=>[1,2,1,1,1,1] [[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[3,1,4,2,5,6,7]=>[5,7,4,6,3,2,1]=>[2,2,1,1,1] [[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[7,6,4,5,3,2,1]=>[1,1,2,1,1,1] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[3,1,1,1,1] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[2,1,1,1,1,1] [[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[7,5,6,4,3,2,1]=>[1,2,1,1,1,1] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[2,1,1,1,1,1] [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1] [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7,8]=>[8] [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,1,2]=>[1,2,3,4,5,6,8,7]=>[7,1] [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[8,6,7,5,4,3,2,1]=>[8,7,6,5,4,1,3,2]=>[1,2,3,4,5,8,6,7]=>[6,2] [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[8,7,6,5,4,2,1,3]=>[1,2,3,4,5,7,8,6]=>[7,1] [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,1,2,3]=>[1,2,3,4,5,8,7,6]=>[6,1,1] [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[8,7,5,6,4,3,2,1]=>[8,7,6,5,1,4,3,2]=>[1,2,3,4,8,5,6,7]=>[5,3] [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[7,8,5,6,4,3,2,1]=>[8,7,6,5,1,4,2,3]=>[1,2,3,4,8,5,7,6]=>[5,2,1] [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[8,6,5,7,4,3,2,1]=>[8,7,6,5,3,1,4,2]=>[1,2,3,4,6,8,5,7]=>[6,2] [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[8,5,6,7,4,3,2,1]=>[8,7,6,5,1,2,4,3]=>[1,2,3,4,8,7,5,6]=>[5,1,2] [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[8,7,6,5,3,2,1,4]=>[1,2,3,4,6,7,8,5]=>[7,1] [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[8,7,6,5,3,1,2,4]=>[1,2,3,4,6,8,7,5]=>[6,1,1] [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[7,5,6,8,4,3,2,1]=>[8,7,6,5,1,3,2,4]=>[1,2,3,4,8,6,7,5]=>[5,2,1] [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[8,7,6,5,2,1,3,4]=>[1,2,3,4,7,8,6,5]=>[6,1,1] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[8,7,6,5,1,2,3,4]=>[1,2,3,4,8,7,6,5]=>[5,1,1,1] [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[8,7,6,4,5,3,2,1]=>[8,7,6,1,5,4,3,2]=>[1,2,3,8,4,5,6,7]=>[4,4] [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[8,6,7,4,5,3,2,1]=>[8,7,6,1,5,2,4,3]=>[1,2,3,8,4,7,5,6]=>[4,2,2] [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[7,6,8,4,5,3,2,1]=>[8,7,6,1,5,3,2,4]=>[1,2,3,8,4,6,7,5]=>[4,3,1] [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[8,7,5,4,6,3,2,1]=>[8,7,6,4,1,5,3,2]=>[1,2,3,5,8,4,6,7]=>[5,3] [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[8,6,5,4,7,3,2,1]=>[8,7,6,4,3,1,5,2]=>[1,2,3,5,6,8,4,7]=>[6,2] [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[8,5,6,4,7,3,2,1]=>[8,7,6,4,1,2,5,3]=>[1,2,3,5,8,7,4,6]=>[5,1,2] [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[8,6,4,5,7,3,2,1]=>[8,7,6,1,4,2,5,3]=>[1,2,3,8,5,7,4,6]=>[4,2,2] [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[8,7,6,4,3,2,1,5]=>[1,2,3,5,6,7,8,4]=>[7,1] [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[8,7,6,4,3,1,2,5]=>[1,2,3,5,6,8,7,4]=>[6,1,1] [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[7,5,6,4,8,3,2,1]=>[8,7,6,4,1,3,2,5]=>[1,2,3,5,8,6,7,4]=>[5,2,1] [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[8,7,6,4,2,1,3,5]=>[1,2,3,5,7,8,6,4]=>[6,1,1] [.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[8,7,6,4,1,2,3,5]=>[1,2,3,5,8,7,6,4]=>[5,1,1,1] [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[7,6,4,5,8,3,2,1]=>[8,7,6,1,4,3,2,5]=>[1,2,3,8,5,6,7,4]=>[4,3,1] [.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[6,7,4,5,8,3,2,1]=>[8,7,6,1,4,2,3,5]=>[1,2,3,8,5,7,6,4]=>[4,2,1,1] [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[7,5,4,6,8,3,2,1]=>[8,7,6,3,1,4,2,5]=>[1,2,3,6,8,5,7,4]=>[5,2,1] [.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[7,4,5,6,8,3,2,1]=>[8,7,6,1,2,4,3,5]=>[1,2,3,8,7,5,6,4]=>[4,1,2,1] [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[8,7,6,3,2,1,4,5]=>[1,2,3,6,7,8,5,4]=>[6,1,1] [.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[8,7,6,3,1,2,4,5]=>[1,2,3,6,8,7,5,4]=>[5,1,1,1] [.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[6,4,5,7,8,3,2,1]=>[8,7,6,1,3,2,4,5]=>[1,2,3,8,6,7,5,4]=>[4,2,1,1] [.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[8,7,6,2,1,3,4,5]=>[1,2,3,7,8,6,5,4]=>[5,1,1,1] [.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[8,7,6,1,2,3,4,5]=>[1,2,3,8,7,6,5,4]=>[4,1,1,1,1] [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,3,4,2,1]=>[8,7,1,6,5,4,3,2]=>[1,2,8,3,4,5,6,7]=>[3,5] [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,3,4,2,1]=>[8,7,1,6,5,4,2,3]=>[1,2,8,3,4,5,7,6]=>[3,4,1] [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,3,4,2,1]=>[8,7,1,6,5,3,2,4]=>[1,2,8,3,4,6,7,5]=>[3,4,1] [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[8,7,1,6,2,5,4,3]=>[1,2,8,3,7,4,5,6]=>[3,2,3] [.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[8,5,6,7,3,4,2,1]=>[8,7,1,6,2,3,5,4]=>[1,2,8,3,7,6,4,5]=>[3,2,1,2] [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,3,4,2,1]=>[8,7,1,6,4,3,2,5]=>[1,2,8,3,5,6,7,4]=>[3,4,1] [.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[6,7,5,8,3,4,2,1]=>[8,7,1,6,4,2,3,5]=>[1,2,8,3,5,7,6,4]=>[3,3,1,1] [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[8,7,1,6,2,3,4,5]=>[1,2,8,3,7,6,5,4]=>[3,2,1,1,1] [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[8,7,6,4,3,5,2,1]=>[8,7,5,1,6,4,3,2]=>[1,2,4,8,3,5,6,7]=>[4,4] [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[7,8,6,4,3,5,2,1]=>[8,7,5,1,6,4,2,3]=>[1,2,4,8,3,5,7,6]=>[4,3,1] [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[7,6,8,4,3,5,2,1]=>[8,7,5,1,6,3,2,4]=>[1,2,4,8,3,6,7,5]=>[4,3,1] [.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[6,7,8,4,3,5,2,1]=>[8,7,5,1,6,2,3,4]=>[1,2,4,8,3,7,6,5]=>[4,2,1,1] [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[8,7,6,3,4,5,2,1]=>[8,7,1,2,6,5,4,3]=>[1,2,8,7,3,4,5,6]=>[3,1,4] [.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[7,8,6,3,4,5,2,1]=>[8,7,1,2,6,5,3,4]=>[1,2,8,7,3,4,6,5]=>[3,1,3,1] [.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[8,6,7,3,4,5,2,1]=>[8,7,1,2,6,3,5,4]=>[1,2,8,7,3,6,4,5]=>[3,1,2,2] [.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[7,6,8,3,4,5,2,1]=>[8,7,1,2,6,4,3,5]=>[1,2,8,7,3,5,6,4]=>[3,1,3,1] [.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[6,7,8,3,4,5,2,1]=>[8,7,1,2,6,3,4,5]=>[1,2,8,7,3,6,5,4]=>[3,1,2,1,1] [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[8,7,5,4,3,6,2,1]=>[8,7,5,4,1,6,3,2]=>[1,2,4,5,8,3,6,7]=>[5,3] [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[7,8,5,4,3,6,2,1]=>[8,7,5,4,1,6,2,3]=>[1,2,4,5,8,3,7,6]=>[5,2,1] [.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[7,8,5,3,4,6,2,1]=>[8,7,1,5,2,6,3,4]=>[1,2,8,4,7,3,6,5]=>[3,2,2,1] [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[8,7,4,3,5,6,2,1]=>[8,7,4,1,2,6,5,3]=>[1,2,5,8,7,3,4,6]=>[4,1,3] [.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[8,7,3,4,5,6,2,1]=>[8,7,1,2,3,6,5,4]=>[1,2,8,7,6,3,4,5]=>[3,1,1,3] [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[8,7,5,4,3,2,1,6]=>[1,2,4,5,6,7,8,3]=>[7,1] [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[7,5,6,4,3,8,2,1]=>[8,7,5,4,1,3,2,6]=>[1,2,4,5,8,6,7,3]=>[5,2,1] [.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[7,4,5,6,3,8,2,1]=>[8,7,5,1,2,4,3,6]=>[1,2,4,8,7,5,6,3]=>[4,1,2,1] [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[8,7,5,2,1,3,4,6]=>[1,2,4,7,8,6,5,3]=>[5,1,1,1] [.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[8,7,5,1,2,3,4,6]=>[1,2,4,8,7,6,5,3]=>[4,1,1,1,1] [.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[7,6,3,4,5,8,2,1]=>[8,7,1,2,5,4,3,6]=>[1,2,8,7,4,5,6,3]=>[3,1,3,1] [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[7,5,4,3,6,8,2,1]=>[8,7,4,3,1,5,2,6]=>[1,2,5,6,8,4,7,3]=>[5,2,1] [.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[7,5,3,4,6,8,2,1]=>[8,7,1,4,2,5,3,6]=>[1,2,8,5,7,4,6,3]=>[3,2,2,1] [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[8,7,4,3,2,1,5,6]=>[1,2,5,6,7,8,4,3]=>[6,1,1] [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,2,3,1]=>[8,1,7,6,5,4,3,2]=>[1,8,2,3,4,5,6,7]=>[2,6] [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,2,3,1]=>[8,1,7,6,5,2,4,3]=>[1,8,2,3,4,7,5,6]=>[2,4,2] [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,2,3,1]=>[8,1,7,6,5,3,2,4]=>[1,8,2,3,4,6,7,5]=>[2,5,1] [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,2,3,1]=>[8,1,7,6,4,3,2,5]=>[1,8,2,3,5,6,7,4]=>[2,5,1] [.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,2,3,1]=>[8,1,7,6,4,2,3,5]=>[1,8,2,3,5,7,6,4]=>[2,4,1,1] [.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,2,3,1]=>[8,1,7,6,2,4,3,5]=>[1,8,2,3,7,5,6,4]=>[2,3,2,1] [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[8,1,7,6,2,3,4,5]=>[1,8,2,3,7,6,5,4]=>[2,3,1,1,1] [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,2,3,1]=>[8,1,7,2,6,5,4,3]=>[1,8,2,7,3,4,5,6]=>[2,2,4] [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[8,1,7,2,6,3,5,4]=>[1,8,2,7,3,6,4,5]=>[2,2,2,2] [.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[6,7,8,4,5,2,3,1]=>[8,1,7,2,6,3,4,5]=>[1,8,2,7,3,6,5,4]=>[2,2,2,1,1] [.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[8,7,4,5,6,2,3,1]=>[8,1,7,2,3,6,5,4]=>[1,8,2,7,6,3,4,5]=>[2,2,1,3] [.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,2,3,1]=>[8,1,7,5,2,3,6,4]=>[1,8,2,4,7,6,3,5]=>[2,3,1,2] [.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,2,3,1]=>[8,1,7,2,5,3,6,4]=>[1,8,2,7,4,6,3,5]=>[2,2,2,2] [.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,2,3,1]=>[8,1,7,5,2,4,3,6]=>[1,8,2,4,7,5,6,3]=>[2,3,2,1] [.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,2,3,1]=>[8,1,7,5,3,2,4,6]=>[1,8,2,4,6,7,5,3]=>[2,4,1,1] [.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,2,3,1]=>[8,1,7,2,3,4,5,6]=>[1,8,2,7,6,5,4,3]=>[2,2,1,1,1,1] [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,2,4,1]=>[8,6,1,7,5,4,3,2]=>[1,3,8,2,4,5,6,7]=>[3,5] [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,2,4,1]=>[8,6,1,7,5,4,2,3]=>[1,3,8,2,4,5,7,6]=>[3,4,1] [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,3,2,4,1]=>[8,6,1,7,5,2,4,3]=>[1,3,8,2,4,7,5,6]=>[3,3,2] [.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,2,4,1]=>[8,6,1,7,5,2,3,4]=>[1,3,8,2,4,7,6,5]=>[3,3,1,1] [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[8,6,1,7,4,2,5,3]=>[1,3,8,2,5,7,4,6]=>[3,3,2] [.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,2,4,1]=>[8,6,1,7,2,3,5,4]=>[1,3,8,2,7,6,4,5]=>[3,2,1,2] [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,2,4,1]=>[8,6,1,7,4,3,2,5]=>[1,3,8,2,5,6,7,4]=>[3,4,1] [.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,2,4,1]=>[8,6,1,7,4,2,3,5]=>[1,3,8,2,5,7,6,4]=>[3,3,1,1] [.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[8,6,1,7,2,3,4,5]=>[1,3,8,2,7,6,5,4]=>[3,2,1,1,1] [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,2,3,4,1]=>[8,1,2,7,6,5,4,3]=>[1,8,7,2,3,4,5,6]=>[2,1,5] [.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,2,3,4,1]=>[8,1,2,7,6,3,5,4]=>[1,8,7,2,3,6,4,5]=>[2,1,3,2] [.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,2,3,4,1]=>[8,1,2,7,6,4,3,5]=>[1,8,7,2,3,5,6,4]=>[2,1,4,1] [.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,2,3,4,1]=>[8,1,2,7,6,3,4,5]=>[1,8,7,2,3,6,5,4]=>[2,1,3,1,1] [.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,2,3,4,1]=>[8,1,2,7,3,6,4,5]=>[1,8,7,2,6,3,5,4]=>[2,1,2,2,1] [.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,2,3,4,1]=>[8,1,2,7,5,3,6,4]=>[1,8,7,2,4,6,3,5]=>[2,1,3,2] [.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[8,1,2,7,3,4,6,5]=>[1,8,7,2,6,5,3,4]=>[2,1,2,1,2] [.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,2,3,4,1]=>[8,1,2,7,5,4,3,6]=>[1,8,7,2,4,5,6,3]=>[2,1,4,1] [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[8,1,2,7,3,4,5,6]=>[1,8,7,2,6,5,4,3]=>[2,1,2,1,1,1] [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,2,5,1]=>[8,6,5,1,7,4,3,2]=>[1,3,4,8,2,5,6,7]=>[4,4] [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[7,6,8,4,3,2,5,1]=>[8,6,5,1,7,3,2,4]=>[1,3,4,8,2,6,7,5]=>[4,3,1] [.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[6,7,8,4,3,2,5,1]=>[8,6,5,1,7,2,3,4]=>[1,3,4,8,2,7,6,5]=>[4,2,1,1] [.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[7,6,8,4,2,3,5,1]=>[8,1,6,2,7,4,3,5]=>[1,8,3,7,2,5,6,4]=>[2,2,3,1] [.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[6,7,8,4,2,3,5,1]=>[8,1,6,2,7,3,4,5]=>[1,8,3,7,2,6,5,4]=>[2,2,2,1,1] [.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[6,7,8,3,2,4,5,1]=>[8,5,1,2,7,3,4,6]=>[1,4,8,7,2,6,5,3]=>[3,1,2,1,1] [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[8,7,6,2,3,4,5,1]=>[8,1,2,3,7,6,5,4]=>[1,8,7,6,2,3,4,5]=>[2,1,1,4] [.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[7,8,6,2,3,4,5,1]=>[8,1,2,3,7,6,4,5]=>[1,8,7,6,2,3,5,4]=>[2,1,1,3,1] [.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[7,6,8,2,3,4,5,1]=>[8,1,2,3,7,5,4,6]=>[1,8,7,6,2,4,5,3]=>[2,1,1,3,1] [.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[6,7,8,2,3,4,5,1]=>[8,1,2,3,7,4,5,6]=>[1,8,7,6,2,5,4,3]=>[2,1,1,2,1,1] [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[8,7,5,3,4,2,6,1]=>[8,6,1,5,2,7,4,3]=>[1,3,8,4,7,2,5,6]=>[3,2,3] [.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[7,8,5,3,4,2,6,1]=>[8,6,1,5,2,7,3,4]=>[1,3,8,4,7,2,6,5]=>[3,2,2,1] [.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[7,8,4,3,5,2,6,1]=>[8,6,4,1,2,7,3,5]=>[1,3,5,8,7,2,6,4]=>[4,1,2,1] [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[8,7,5,3,2,4,6,1]=>[8,5,1,6,2,7,4,3]=>[1,4,8,3,7,2,5,6]=>[3,2,3] [.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[7,8,4,3,2,5,6,1]=>[8,5,4,1,2,7,3,6]=>[1,4,5,8,7,2,6,3]=>[4,1,2,1] [.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[7,8,3,2,4,5,6,1]=>[8,4,1,2,3,7,5,6]=>[1,5,8,7,6,2,4,3]=>[3,1,1,2,1] [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[8,6,4,3,5,2,7,1]=>[8,6,4,1,5,2,7,3]=>[1,3,5,8,4,7,2,6]=>[4,2,2] [.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[8,4,5,3,6,2,7,1]=>[8,6,4,1,2,3,7,5]=>[1,3,5,8,7,6,2,4]=>[4,1,1,2] [.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[8,5,6,4,2,3,7,1]=>[8,1,6,5,2,3,7,4]=>[1,8,3,4,7,6,2,5]=>[2,3,1,2] [.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[8,5,3,4,2,6,7,1]=>[8,5,1,4,2,3,7,6]=>[1,4,8,5,7,6,2,3]=>[3,2,1,2] [.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[6,4,5,7,3,2,8,1]=>[8,6,5,1,3,2,4,7]=>[1,3,4,8,6,7,5,2]=>[4,2,1,1] [.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[8,6,5,1,2,3,4,7]=>[1,3,4,8,7,6,5,2]=>[4,1,1,1,1] [.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[6,5,7,3,4,2,8,1]=>[8,6,1,5,3,2,4,7]=>[1,3,8,4,6,7,5,2]=>[3,3,1,1] [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[8,6,4,3,2,1,5,7]=>[1,3,5,6,7,8,4,2]=>[6,1,1] [.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[6,4,5,3,7,2,8,1]=>[8,6,4,1,3,2,5,7]=>[1,3,5,8,6,7,4,2]=>[4,2,1,1] [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[8,6,4,2,1,3,5,7]=>[1,3,5,7,8,6,4,2]=>[5,1,1,1] [.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[8,6,4,1,2,3,5,7]=>[1,3,5,8,7,6,4,2]=>[4,1,1,1,1] [.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[6,5,3,4,7,2,8,1]=>[8,6,1,4,3,2,5,7]=>[1,3,8,5,6,7,4,2]=>[3,3,1,1] [.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[5,6,3,4,7,2,8,1]=>[8,6,1,4,2,3,5,7]=>[1,3,8,5,7,6,4,2]=>[3,2,1,1,1] [.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[8,6,3,2,1,4,5,7]=>[1,3,6,7,8,5,4,2]=>[5,1,1,1] [.,[[[.,.],[.,[[.,.],[.,.]]]],.]]=>[7,5,6,4,2,3,8,1]=>[8,1,6,5,2,4,3,7]=>[1,8,3,4,7,5,6,2]=>[2,3,2,1] [.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,2,3,8,1]=>[8,1,6,5,3,2,4,7]=>[1,8,3,4,6,7,5,2]=>[2,4,1,1] [.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,2,3,8,1]=>[8,1,6,5,2,3,4,7]=>[1,8,3,4,7,6,5,2]=>[2,3,1,1,1] [.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,2,3,8,1]=>[8,1,6,2,3,5,4,7]=>[1,8,3,7,6,4,5,2]=>[2,2,1,2,1] [.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,2,3,8,1]=>[8,1,6,4,2,3,5,7]=>[1,8,3,5,7,6,4,2]=>[2,3,1,1,1] [.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,2,3,8,1]=>[8,1,6,2,4,3,5,7]=>[1,8,3,7,5,6,4,2]=>[2,2,2,1,1] [.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,2,3,8,1]=>[8,1,6,3,2,4,5,7]=>[1,8,3,6,7,5,4,2]=>[2,3,1,1,1] [.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[4,5,6,7,2,3,8,1]=>[8,1,6,2,3,4,5,7]=>[1,8,3,7,6,5,4,2]=>[2,2,1,1,1,1] [.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[6,7,5,3,2,4,8,1]=>[8,5,1,6,4,2,3,7]=>[1,4,8,3,5,7,6,2]=>[3,3,1,1] [.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[6,5,7,3,2,4,8,1]=>[8,5,1,6,3,2,4,7]=>[1,4,8,3,6,7,5,2]=>[3,3,1,1] [.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[7,6,5,2,3,4,8,1]=>[8,1,2,6,5,4,3,7]=>[1,8,7,3,4,5,6,2]=>[2,1,4,1] [.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[6,7,4,3,2,5,8,1]=>[8,5,4,1,6,2,3,7]=>[1,4,5,8,3,7,6,2]=>[4,2,1,1] [.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[7,6,4,2,3,5,8,1]=>[8,1,5,2,6,4,3,7]=>[1,8,4,7,3,5,6,2]=>[2,2,3,1] [.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[6,7,3,2,4,5,8,1]=>[8,4,1,2,6,3,5,7]=>[1,5,8,7,3,6,4,2]=>[3,1,2,1,1] [.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[7,5,2,3,4,6,8,1]=>[8,1,2,5,3,6,4,7]=>[1,8,7,4,6,3,5,2]=>[2,1,2,2,1] [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[8,5,4,3,2,1,6,7]=>[1,4,5,6,7,8,3,2]=>[6,1,1] [.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[8,5,4,2,1,3,6,7]=>[1,4,5,7,8,6,3,2]=>[5,1,1,1] [.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[8,5,3,2,1,4,6,7]=>[1,4,6,7,8,5,3,2]=>[5,1,1,1] [.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[8,5,1,2,3,4,6,7]=>[1,4,8,7,6,5,3,2]=>[3,1,1,1,1,1] [.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[6,5,4,2,3,7,8,1]=>[8,1,5,4,3,2,6,7]=>[1,8,4,5,6,7,3,2]=>[2,4,1,1] [.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>[5,6,4,2,3,7,8,1]=>[8,1,5,4,2,3,6,7]=>[1,8,4,5,7,6,3,2]=>[2,3,1,1,1] [.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[5,4,6,2,3,7,8,1]=>[8,1,5,3,2,4,6,7]=>[1,8,4,6,7,5,3,2]=>[2,3,1,1,1] [.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[6,5,2,3,4,7,8,1]=>[8,1,2,5,4,3,6,7]=>[1,8,7,4,5,6,3,2]=>[2,1,3,1,1] [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[8,4,3,2,1,5,6,7]=>[1,5,6,7,8,4,3,2]=>[5,1,1,1] [.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[8,4,2,1,3,5,6,7]=>[1,5,7,8,6,4,3,2]=>[4,1,1,1,1] [.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[5,4,2,3,6,7,8,1]=>[8,1,4,3,2,5,6,7]=>[1,8,5,6,7,4,3,2]=>[2,3,1,1,1] [.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[5,2,3,4,6,7,8,1]=>[8,1,2,4,3,5,6,7]=>[1,8,7,5,6,4,3,2]=>[2,1,2,1,1,1] [.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[8,3,2,1,4,5,6,7]=>[1,6,7,8,5,4,3,2]=>[4,1,1,1,1] [.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[8,3,1,2,4,5,6,7]=>[1,6,8,7,5,4,3,2]=>[3,1,1,1,1,1] [.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[8,2,1,3,4,5,6,7]=>[1,7,8,6,5,4,3,2]=>[3,1,1,1,1,1] [.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]=>[1,8,7,6,5,4,3,2]=>[2,1,1,1,1,1,1] [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2]=>[8,1,2,3,4,5,6,7]=>[1,7] [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,3,1,2]=>[1,8,7,6,2,5,4,3]=>[8,1,2,3,7,4,5,6]=>[1,4,3] [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[7,8,5,6,4,3,1,2]=>[1,8,7,6,2,5,3,4]=>[8,1,2,3,7,4,6,5]=>[1,4,2,1] [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,3,1,2]=>[1,8,7,6,4,3,2,5]=>[8,1,2,3,5,6,7,4]=>[1,6,1] [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,3,1,2]=>[1,8,7,6,4,2,3,5]=>[8,1,2,3,5,7,6,4]=>[1,5,1,1] [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,3,1,2]=>[1,8,7,6,2,4,3,5]=>[8,1,2,3,7,5,6,4]=>[1,4,2,1] [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[1,8,7,6,2,3,4,5]=>[8,1,2,3,7,6,5,4]=>[1,4,1,1,1] [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[1,8,7,2,6,5,3,4]=>[8,1,2,7,3,4,6,5]=>[1,3,3,1] [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,3,1,2]=>[1,8,7,2,6,3,5,4]=>[8,1,2,7,3,6,4,5]=>[1,3,2,2] [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,3,1,2]=>[1,8,7,5,2,6,4,3]=>[8,1,2,4,7,3,5,6]=>[1,4,3] [[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,3,1,2]=>[1,8,7,2,3,6,4,5]=>[8,1,2,7,6,3,5,4]=>[1,3,1,2,1] [[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,3,1,2]=>[1,8,7,5,2,3,6,4]=>[8,1,2,4,7,6,3,5]=>[1,4,1,2] [[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,3,1,2]=>[1,8,7,5,3,2,4,6]=>[8,1,2,4,6,7,5,3]=>[1,5,1,1] [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,3,1,2]=>[1,8,7,2,5,4,3,6]=>[8,1,2,7,4,5,6,3]=>[1,3,3,1] [[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,3,1,2]=>[1,8,7,2,5,3,4,6]=>[8,1,2,7,4,6,5,3]=>[1,3,2,1,1] [[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[5,6,4,7,8,3,1,2]=>[1,8,7,4,2,3,5,6]=>[8,1,2,5,7,6,4,3]=>[1,4,1,1,1] [[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,3,1,2]=>[1,8,7,2,3,4,5,6]=>[8,1,2,7,6,5,4,3]=>[1,3,1,1,1,1] [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,4,1,2]=>[1,8,2,7,6,5,4,3]=>[8,1,7,2,3,4,5,6]=>[1,2,5] [[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,4,1,2]=>[1,8,2,7,6,3,4,5]=>[8,1,7,2,3,6,5,4]=>[1,2,3,1,1] [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,4,1,2]=>[1,8,2,7,3,6,5,4]=>[8,1,7,2,6,3,4,5]=>[1,2,2,3] [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[1,8,2,7,3,6,4,5]=>[8,1,7,2,6,3,5,4]=>[1,2,2,2,1] [[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,4,1,2]=>[1,8,2,7,3,4,6,5]=>[8,1,7,2,6,5,3,4]=>[1,2,2,1,2] [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,4,1,2]=>[1,8,2,7,5,4,3,6]=>[8,1,7,2,4,5,6,3]=>[1,2,4,1] [[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,4,1,2]=>[1,8,2,7,5,3,4,6]=>[8,1,7,2,4,6,5,3]=>[1,2,3,1,1] [[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,4,1,2]=>[1,8,2,7,3,5,4,6]=>[8,1,7,2,6,4,5,3]=>[1,2,2,2,1] [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[1,8,2,7,4,3,5,6]=>[8,1,7,2,5,6,4,3]=>[1,2,3,1,1] [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[1,8,2,7,3,4,5,6]=>[8,1,7,2,6,5,4,3]=>[1,2,2,1,1,1] [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[8,7,6,3,4,5,1,2]=>[1,8,2,3,7,6,5,4]=>[8,1,7,6,2,3,4,5]=>[1,2,1,4] [[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[7,8,6,3,4,5,1,2]=>[1,8,2,3,7,6,4,5]=>[8,1,7,6,2,3,5,4]=>[1,2,1,3,1] [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[7,8,5,4,3,6,1,2]=>[1,8,6,5,2,7,3,4]=>[8,1,3,4,7,2,6,5]=>[1,4,2,1] [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[8,7,4,5,3,6,1,2]=>[1,8,6,2,3,7,5,4]=>[8,1,3,7,6,2,4,5]=>[1,3,1,3] [[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[7,8,4,5,3,6,1,2]=>[1,8,6,2,3,7,4,5]=>[8,1,3,7,6,2,5,4]=>[1,3,1,2,1] [[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[7,8,5,3,4,6,1,2]=>[1,8,2,6,3,7,4,5]=>[8,1,7,3,6,2,5,4]=>[1,2,2,2,1] [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[8,7,4,3,5,6,1,2]=>[1,8,5,2,3,7,6,4]=>[8,1,4,7,6,2,3,5]=>[1,3,1,3] [[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[1,8,5,2,3,7,4,6]=>[8,1,4,7,6,2,5,3]=>[1,3,1,2,1] [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>[1,8,2,3,4,7,5,6]=>[8,1,7,6,5,2,4,3]=>[1,2,1,1,2,1] [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[8,5,4,3,6,7,1,2]=>[1,8,5,4,2,3,7,6]=>[8,1,4,5,7,6,2,3]=>[1,4,1,2] [[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[8,4,3,5,6,7,1,2]=>[1,8,4,2,3,5,7,6]=>[8,1,5,7,6,4,2,3]=>[1,3,1,1,2] [[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,3,8,1,2]=>[1,8,6,2,5,3,4,7]=>[8,1,3,7,4,6,5,2]=>[1,3,2,1,1] [[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,3,8,1,2]=>[1,8,6,4,2,3,5,7]=>[8,1,3,5,7,6,4,2]=>[1,4,1,1,1] [[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,3,8,1,2]=>[1,8,6,3,2,4,5,7]=>[8,1,3,6,7,5,4,2]=>[1,4,1,1,1] [[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[4,5,6,7,3,8,1,2]=>[1,8,6,2,3,4,5,7]=>[8,1,3,7,6,5,4,2]=>[1,3,1,1,1,1] [[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[7,5,6,3,4,8,1,2]=>[1,8,2,6,3,5,4,7]=>[8,1,7,3,6,4,5,2]=>[1,2,2,2,1] [[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[7,6,3,4,5,8,1,2]=>[1,8,2,3,6,5,4,7]=>[8,1,7,6,3,4,5,2]=>[1,2,1,3,1] [[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[7,5,4,3,6,8,1,2]=>[1,8,5,4,2,6,3,7]=>[8,1,4,5,7,3,6,2]=>[1,4,2,1] [[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[7,5,3,4,6,8,1,2]=>[1,8,2,5,3,6,4,7]=>[8,1,7,4,6,3,5,2]=>[1,2,2,2,1] [[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[6,5,4,3,7,8,1,2]=>[1,8,5,4,3,2,6,7]=>[8,1,4,5,6,7,3,2]=>[1,5,1,1] [[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[5,4,6,3,7,8,1,2]=>[1,8,5,3,2,4,6,7]=>[8,1,4,6,7,5,3,2]=>[1,4,1,1,1] [[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[4,5,6,3,7,8,1,2]=>[1,8,5,2,3,4,6,7]=>[8,1,4,7,6,5,3,2]=>[1,3,1,1,1,1] [[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[5,6,3,4,7,8,1,2]=>[1,8,2,5,3,4,6,7]=>[8,1,7,4,6,5,3,2]=>[1,2,2,1,1,1] [[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[6,4,3,5,7,8,1,2]=>[1,8,4,2,5,3,6,7]=>[8,1,5,7,4,6,3,2]=>[1,3,2,1,1] [[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[6,3,4,5,7,8,1,2]=>[1,8,2,3,5,4,6,7]=>[8,1,7,6,4,5,3,2]=>[1,2,1,2,1,1] [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[1,8,4,3,2,5,6,7]=>[8,1,5,6,7,4,3,2]=>[1,4,1,1,1] [[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[4,5,3,6,7,8,1,2]=>[1,8,4,2,3,5,6,7]=>[8,1,5,7,6,4,3,2]=>[1,3,1,1,1,1] [[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[5,3,4,6,7,8,1,2]=>[1,8,2,4,3,5,6,7]=>[8,1,7,5,6,4,3,2]=>[1,2,2,1,1,1] [[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[4,3,5,6,7,8,1,2]=>[1,8,3,2,4,5,6,7]=>[8,1,6,7,5,4,3,2]=>[1,3,1,1,1,1] [[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[1,8,2,3,4,5,6,7]=>[8,1,7,6,5,4,3,2]=>[1,2,1,1,1,1,1] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[7,1,8,6,5,4,3,2]=>[2,8,1,3,4,5,6,7]=>[2,6] [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[7,1,8,6,5,3,2,4]=>[2,8,1,3,4,6,7,5]=>[2,5,1] [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,2,1,3]=>[7,1,8,6,5,2,3,4]=>[2,8,1,3,4,7,6,5]=>[2,4,1,1] [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,2,1,3]=>[7,1,8,6,2,5,4,3]=>[2,8,1,3,7,4,5,6]=>[2,3,3] [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,2,1,3]=>[7,1,8,6,4,3,2,5]=>[2,8,1,3,5,6,7,4]=>[2,5,1] [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,2,1,3]=>[7,1,8,6,4,2,3,5]=>[2,8,1,3,5,7,6,4]=>[2,4,1,1] [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,2,1,3]=>[7,1,8,6,2,4,3,5]=>[2,8,1,3,7,5,6,4]=>[2,3,2,1] [[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,2,1,3]=>[7,1,8,6,3,2,4,5]=>[2,8,1,3,6,7,5,4]=>[2,4,1,1] [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[7,1,8,6,2,3,4,5]=>[2,8,1,3,7,6,5,4]=>[2,3,1,1,1] [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[7,6,8,4,5,2,1,3]=>[7,1,8,2,6,4,3,5]=>[2,8,1,7,3,5,6,4]=>[2,2,3,1] [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,2,1,3]=>[7,1,8,2,3,6,5,4]=>[2,8,1,7,6,3,4,5]=>[2,2,1,3] [[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,2,1,3]=>[7,1,8,5,4,2,3,6]=>[2,8,1,4,5,7,6,3]=>[2,4,1,1] [[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,2,1,3]=>[7,1,8,5,2,4,3,6]=>[2,8,1,4,7,5,6,3]=>[2,3,2,1] [[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,2,1,3]=>[7,1,8,2,5,4,3,6]=>[2,8,1,7,4,5,6,3]=>[2,2,3,1] [[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,2,1,3]=>[7,1,8,2,3,4,5,6]=>[2,8,1,7,6,5,4,3]=>[2,2,1,1,1,1] [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,1,2,3]=>[1,2,8,7,6,5,4,3]=>[8,7,1,2,3,4,5,6]=>[1,1,6] [[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,1,2,3]=>[1,2,8,7,3,4,6,5]=>[8,7,1,2,6,5,3,4]=>[1,1,3,1,2] [[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,1,2,3]=>[1,2,8,7,5,4,3,6]=>[8,7,1,2,4,5,6,3]=>[1,1,5,1] [[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,1,2,3]=>[1,2,8,7,4,3,5,6]=>[8,7,1,2,5,6,4,3]=>[1,1,4,1,1] [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[1,2,8,7,3,4,5,6]=>[8,7,1,2,6,5,4,3]=>[1,1,3,1,1,1] [[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,1,2,3]=>[1,2,8,3,7,4,6,5]=>[8,7,1,6,2,5,3,4]=>[1,1,2,2,2] [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,1,2,3]=>[1,2,8,6,3,7,5,4]=>[8,7,1,3,6,2,4,5]=>[1,1,3,3] [[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[8,5,6,4,7,1,2,3]=>[1,2,8,6,3,4,7,5]=>[8,7,1,3,6,5,2,4]=>[1,1,3,1,2] [[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,1,2,3]=>[1,2,8,3,6,4,7,5]=>[8,7,1,6,3,5,2,4]=>[1,1,2,2,2] [[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,1,2,3]=>[1,2,8,6,5,4,3,7]=>[8,7,1,3,4,5,6,2]=>[1,1,5,1] [[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,1,2,3]=>[1,2,8,6,5,3,4,7]=>[8,7,1,3,4,6,5,2]=>[1,1,4,1,1] [[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,1,2,3]=>[1,2,8,6,3,5,4,7]=>[8,7,1,3,6,4,5,2]=>[1,1,3,2,1] [[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,1,2,3]=>[1,2,8,6,4,3,5,7]=>[8,7,1,3,5,6,4,2]=>[1,1,4,1,1] [[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,1,2,3]=>[1,2,8,6,3,4,5,7]=>[8,7,1,3,6,5,4,2]=>[1,1,3,1,1,1] [[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,1,2,3]=>[1,2,8,3,6,5,4,7]=>[8,7,1,6,3,4,5,2]=>[1,1,2,3,1] [[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,1,2,3]=>[1,2,8,3,6,4,5,7]=>[8,7,1,6,3,5,4,2]=>[1,1,2,2,1,1] [[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,1,2,3]=>[1,2,8,5,3,6,4,7]=>[8,7,1,4,6,3,5,2]=>[1,1,3,2,1] [[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[1,2,8,5,4,3,6,7]=>[8,7,1,4,5,6,3,2]=>[1,1,4,1,1] [[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,1,2,3]=>[1,2,8,5,3,4,6,7]=>[8,7,1,4,6,5,3,2]=>[1,1,3,1,1,1] [[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[6,4,5,7,8,1,2,3]=>[1,2,8,3,5,4,6,7]=>[8,7,1,6,4,5,3,2]=>[1,1,2,2,1,1] [[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,1,2,3]=>[1,2,8,4,3,5,6,7]=>[8,7,1,5,6,4,3,2]=>[1,1,3,1,1,1] [[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[1,2,8,3,4,5,6,7]=>[8,7,1,6,5,4,3,2]=>[1,1,2,1,1,1,1] [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,2,1,4]=>[7,6,1,8,5,4,3,2]=>[2,3,8,1,4,5,6,7]=>[3,5] [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,2,1,4]=>[7,6,1,8,5,4,2,3]=>[2,3,8,1,4,5,7,6]=>[3,4,1] [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,2,1,4]=>[7,6,1,8,5,3,2,4]=>[2,3,8,1,4,6,7,5]=>[3,4,1] [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,2,1,4]=>[7,6,1,8,5,2,3,4]=>[2,3,8,1,4,7,6,5]=>[3,3,1,1] [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,2,1,4]=>[7,6,1,8,2,5,4,3]=>[2,3,8,1,7,4,5,6]=>[3,2,3] [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,2,1,4]=>[7,6,1,8,4,2,5,3]=>[2,3,8,1,5,7,4,6]=>[3,3,2] [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,2,1,4]=>[7,6,1,8,2,3,5,4]=>[2,3,8,1,7,6,4,5]=>[3,2,1,2] [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[7,6,1,8,4,3,2,5]=>[2,3,8,1,5,6,7,4]=>[3,4,1] [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,2,1,4]=>[7,6,1,8,4,2,3,5]=>[2,3,8,1,5,7,6,4]=>[3,3,1,1] [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,2,1,4]=>[7,6,1,8,3,2,4,5]=>[2,3,8,1,6,7,5,4]=>[3,3,1,1] [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[7,6,1,8,2,3,4,5]=>[2,3,8,1,7,6,5,4]=>[3,2,1,1,1] [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,3,1,4]=>[7,1,2,8,6,5,4,3]=>[2,8,7,1,3,4,5,6]=>[2,1,5] [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,3,1,4]=>[7,1,2,8,6,3,5,4]=>[2,8,7,1,3,6,4,5]=>[2,1,3,2] [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,3,1,4]=>[7,1,2,8,6,4,3,5]=>[2,8,7,1,3,5,6,4]=>[2,1,4,1] [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,3,1,4]=>[7,1,2,8,3,6,5,4]=>[2,8,7,1,6,3,4,5]=>[2,1,2,3] [[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,3,1,4]=>[7,1,2,8,3,6,4,5]=>[2,8,7,1,6,3,5,4]=>[2,1,2,2,1] [[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,3,1,4]=>[7,1,2,8,3,4,6,5]=>[2,8,7,1,6,5,3,4]=>[2,1,2,1,2] [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,3,1,4]=>[7,1,2,8,5,4,3,6]=>[2,8,7,1,4,5,6,3]=>[2,1,4,1] [[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,3,1,4]=>[7,1,2,8,5,3,4,6]=>[2,8,7,1,4,6,5,3]=>[2,1,3,1,1] [[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[7,1,2,8,3,5,4,6]=>[2,8,7,1,6,4,5,3]=>[2,1,2,2,1] [[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[7,1,2,8,3,4,5,6]=>[2,8,7,1,6,5,4,3]=>[2,1,2,1,1,1] [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,1,2,4]=>[1,7,2,8,6,5,4,3]=>[8,2,7,1,3,4,5,6]=>[1,2,5] [[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,1,2,4]=>[1,7,2,8,6,5,3,4]=>[8,2,7,1,3,4,6,5]=>[1,2,4,1] [[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,1,2,4]=>[1,7,2,8,3,6,4,5]=>[8,2,7,1,6,3,5,4]=>[1,2,2,2,1] [[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,1,2,4]=>[1,7,2,8,5,4,3,6]=>[8,2,7,1,4,5,6,3]=>[1,2,4,1] [[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[1,7,2,8,5,3,4,6]=>[8,2,7,1,4,6,5,3]=>[1,2,3,1,1] [[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,1,2,4]=>[1,7,2,8,3,5,4,6]=>[8,2,7,1,6,4,5,3]=>[1,2,2,2,1] [[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[1,7,2,8,3,4,5,6]=>[8,2,7,1,6,5,4,3]=>[1,2,2,1,1,1] [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,1,3,4]=>[6,1,2,8,7,5,4,3]=>[3,8,7,1,2,4,5,6]=>[2,1,5] [[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,1,3,4]=>[6,1,2,8,7,4,3,5]=>[3,8,7,1,2,5,6,4]=>[2,1,4,1] [[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[6,1,2,8,3,7,4,5]=>[3,8,7,1,6,2,5,4]=>[2,1,2,2,1] [[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,1,3,4]=>[6,1,2,8,3,4,7,5]=>[3,8,7,1,6,5,2,4]=>[2,1,2,1,2] [[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,1,3,4]=>[6,1,2,8,5,4,3,7]=>[3,8,7,1,4,5,6,2]=>[2,1,4,1] [[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,1,3,4]=>[6,1,2,8,5,3,4,7]=>[3,8,7,1,4,6,5,2]=>[2,1,3,1,1] [[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,1,3,4]=>[6,1,2,8,3,5,4,7]=>[3,8,7,1,6,4,5,2]=>[2,1,2,2,1] [[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[6,1,2,8,4,3,5,7]=>[3,8,7,1,5,6,4,2]=>[2,1,3,1,1] [[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[6,1,2,8,3,4,5,7]=>[3,8,7,1,6,5,4,2]=>[2,1,2,1,1,1] [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4]=>[8,7,6,1,2,3,4,5]=>[1,1,1,5] [[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[1,2,3,8,7,6,4,5]=>[8,7,6,1,2,3,5,4]=>[1,1,1,4,1] [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[1,2,3,8,7,4,6,5]=>[8,7,6,1,2,5,3,4]=>[1,1,1,3,2] [[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[1,2,3,8,7,5,4,6]=>[8,7,6,1,2,4,5,3]=>[1,1,1,4,1] [[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[1,2,3,8,7,4,5,6]=>[8,7,6,1,2,5,4,3]=>[1,1,1,3,1,1] [[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[1,2,3,8,4,7,6,5]=>[8,7,6,1,5,2,3,4]=>[1,1,1,2,3] [[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[1,2,3,8,4,7,5,6]=>[8,7,6,1,5,2,4,3]=>[1,1,1,2,2,1] [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[1,2,3,8,6,4,7,5]=>[8,7,6,1,3,5,2,4]=>[1,1,1,3,2] [[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[1,2,3,8,4,5,7,6]=>[8,7,6,1,5,4,2,3]=>[1,1,1,2,1,2] [[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[1,2,3,8,6,5,4,7]=>[8,7,6,1,3,4,5,2]=>[1,1,1,4,1] [[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[1,2,3,8,6,4,5,7]=>[8,7,6,1,3,5,4,2]=>[1,1,1,3,1,1] [[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[1,2,3,8,4,6,5,7]=>[8,7,6,1,5,3,4,2]=>[1,1,1,2,2,1] [[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[1,2,3,8,5,4,6,7]=>[8,7,6,1,4,5,3,2]=>[1,1,1,3,1,1] [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[1,2,3,8,4,5,6,7]=>[8,7,6,1,5,4,3,2]=>[1,1,1,2,1,1,1] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[7,6,5,1,8,4,3,2]=>[2,3,4,8,1,5,6,7]=>[4,4] [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[7,8,6,4,3,2,1,5]=>[7,6,5,1,8,4,2,3]=>[2,3,4,8,1,5,7,6]=>[4,3,1] [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[8,6,7,4,3,2,1,5]=>[7,6,5,1,8,2,4,3]=>[2,3,4,8,1,7,5,6]=>[4,2,2] [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[7,6,8,4,3,2,1,5]=>[7,6,5,1,8,3,2,4]=>[2,3,4,8,1,6,7,5]=>[4,3,1] [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[6,7,8,4,3,2,1,5]=>[7,6,5,1,8,2,3,4]=>[2,3,4,8,1,7,6,5]=>[4,2,1,1] [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[8,7,6,3,4,2,1,5]=>[7,6,1,2,8,5,4,3]=>[2,3,8,7,1,4,5,6]=>[3,1,4] [[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[6,7,8,3,4,2,1,5]=>[7,6,1,2,8,3,4,5]=>[2,3,8,7,1,6,5,4]=>[3,1,2,1,1] [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,2,3,1,5]=>[7,1,6,2,8,5,4,3]=>[2,8,3,7,1,4,5,6]=>[2,2,4] [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,2,3,1,5]=>[7,1,6,2,8,4,3,5]=>[2,8,3,7,1,5,6,4]=>[2,2,3,1] [[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,2,3,1,5]=>[7,1,6,2,8,3,4,5]=>[2,8,3,7,1,6,5,4]=>[2,2,2,1,1] [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[8,7,6,3,2,4,1,5]=>[7,5,1,2,8,6,4,3]=>[2,4,8,7,1,3,5,6]=>[3,1,4] [[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[6,7,8,3,2,4,1,5]=>[7,5,1,2,8,3,4,6]=>[2,4,8,7,1,6,5,3]=>[3,1,2,1,1] [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[8,7,6,2,3,4,1,5]=>[7,1,2,3,8,6,5,4]=>[2,8,7,6,1,3,4,5]=>[2,1,1,4] [[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[7,1,2,3,8,4,5,6]=>[2,8,7,6,1,5,4,3]=>[2,1,1,2,1,1] [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,1,2,5]=>[1,7,6,2,8,5,4,3]=>[8,2,3,7,1,4,5,6]=>[1,3,4] [[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,3,1,2,5]=>[1,7,6,2,8,3,4,5]=>[8,2,3,7,1,6,5,4]=>[1,3,2,1,1] [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[8,7,6,3,4,1,2,5]=>[1,7,2,3,8,6,5,4]=>[8,2,7,6,1,3,4,5]=>[1,2,1,4] [[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[6,7,8,3,4,1,2,5]=>[1,7,2,3,8,4,5,6]=>[8,2,7,6,1,5,4,3]=>[1,2,1,2,1,1] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[6,1,7,2,8,5,4,3]=>[3,8,2,7,1,4,5,6]=>[2,2,4] [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,2,1,3,5]=>[6,1,7,2,8,3,5,4]=>[3,8,2,7,1,6,4,5]=>[2,2,2,2] [[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,2,1,3,5]=>[6,1,7,2,8,3,4,5]=>[3,8,2,7,1,6,5,4]=>[2,2,2,1,1] [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,1,2,3,5]=>[1,2,7,3,8,6,5,4]=>[8,7,2,6,1,3,4,5]=>[1,1,2,4] [[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,1,2,3,5]=>[1,2,7,3,8,6,4,5]=>[8,7,2,6,1,3,5,4]=>[1,1,2,3,1] [[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,1,2,3,5]=>[1,2,7,3,8,5,4,6]=>[8,7,2,6,1,4,5,3]=>[1,1,2,3,1] [[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[1,2,7,3,8,4,5,6]=>[8,7,2,6,1,5,4,3]=>[1,1,2,2,1,1] [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[8,7,6,3,2,1,4,5]=>[6,5,1,2,8,7,4,3]=>[3,4,8,7,1,2,5,6]=>[3,1,4] [[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[7,6,8,3,2,1,4,5]=>[6,5,1,2,8,4,3,7]=>[3,4,8,7,1,5,6,2]=>[3,1,3,1] [[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[6,7,8,3,2,1,4,5]=>[6,5,1,2,8,3,4,7]=>[3,4,8,7,1,6,5,2]=>[3,1,2,1,1] [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[8,7,6,2,3,1,4,5]=>[6,1,2,3,8,7,5,4]=>[3,8,7,6,1,2,4,5]=>[2,1,1,4] [[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[7,6,8,2,3,1,4,5]=>[6,1,2,3,8,5,4,7]=>[3,8,7,6,1,4,5,2]=>[2,1,1,3,1] [[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[6,7,8,2,3,1,4,5]=>[6,1,2,3,8,4,5,7]=>[3,8,7,6,1,5,4,2]=>[2,1,1,2,1,1] [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[8,7,6,3,1,2,4,5]=>[1,6,2,3,8,7,5,4]=>[8,3,7,6,1,2,4,5]=>[1,2,1,4] [[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[6,7,8,3,1,2,4,5]=>[1,6,2,3,8,4,5,7]=>[8,3,7,6,1,5,4,2]=>[1,2,1,2,1,1] [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[8,7,6,2,1,3,4,5]=>[5,1,2,3,8,7,6,4]=>[4,8,7,6,1,2,3,5]=>[2,1,1,4] [[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[7,8,6,2,1,3,4,5]=>[5,1,2,3,8,7,4,6]=>[4,8,7,6,1,2,5,3]=>[2,1,1,3,1] [[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[5,1,2,3,8,4,6,7]=>[4,8,7,6,1,5,3,2]=>[2,1,1,2,1,1] [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5]=>[8,7,6,5,1,2,3,4]=>[1,1,1,1,4] [[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[1,2,3,4,8,7,5,6]=>[8,7,6,5,1,2,4,3]=>[1,1,1,1,3,1] [[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[1,2,3,4,8,5,7,6]=>[8,7,6,5,1,4,2,3]=>[1,1,1,1,2,2] [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[1,2,3,4,8,6,5,7]=>[8,7,6,5,1,3,4,2]=>[1,1,1,1,3,1] [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[1,2,3,4,8,5,6,7]=>[8,7,6,5,1,4,3,2]=>[1,1,1,1,2,1,1] [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[8,7,5,4,3,2,1,6]=>[7,6,5,4,1,8,3,2]=>[2,3,4,5,8,1,6,7]=>[5,3] [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[7,8,5,4,3,2,1,6]=>[7,6,5,4,1,8,2,3]=>[2,3,4,5,8,1,7,6]=>[5,2,1] [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[8,7,5,3,4,2,1,6]=>[7,6,1,5,2,8,4,3]=>[2,3,8,4,7,1,5,6]=>[3,2,3] [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[8,7,3,4,5,2,1,6]=>[7,6,1,2,3,8,5,4]=>[2,3,8,7,6,1,4,5]=>[3,1,1,3] [[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[8,7,4,5,2,3,1,6]=>[7,1,6,2,3,8,5,4]=>[2,8,3,7,6,1,4,5]=>[2,2,1,3] [[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,2,3,1,6]=>[7,1,6,2,3,8,4,5]=>[2,8,3,7,6,1,5,4]=>[2,2,1,2,1] [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[8,7,5,3,2,4,1,6]=>[7,5,1,6,2,8,4,3]=>[2,4,8,3,7,1,5,6]=>[3,2,3] [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[8,7,4,3,2,5,1,6]=>[7,5,4,1,2,8,6,3]=>[2,4,5,8,7,1,3,6]=>[4,1,3] [[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[7,8,4,3,2,5,1,6]=>[7,5,4,1,2,8,3,6]=>[2,4,5,8,7,1,6,3]=>[4,1,2,1] [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[8,7,3,4,2,5,1,6]=>[7,5,1,2,3,8,6,4]=>[2,4,8,7,6,1,3,5]=>[3,1,1,3] [[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[7,8,3,4,2,5,1,6]=>[7,5,1,2,3,8,4,6]=>[2,4,8,7,6,1,5,3]=>[3,1,1,2,1] [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,3,1,2,6]=>[1,7,6,5,2,8,4,3]=>[8,2,3,4,7,1,5,6]=>[1,4,3] [[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[7,8,5,4,3,1,2,6]=>[1,7,6,5,2,8,3,4]=>[8,2,3,4,7,1,6,5]=>[1,4,2,1] [[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[8,7,5,3,4,1,2,6]=>[1,7,2,6,3,8,5,4]=>[8,2,7,3,6,1,4,5]=>[1,2,2,3] [[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[7,8,5,3,4,1,2,6]=>[1,7,2,6,3,8,4,5]=>[8,2,7,3,6,1,5,4]=>[1,2,2,2,1] [[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>[6,1,7,5,2,8,3,4]=>[3,8,2,4,7,1,6,5]=>[2,3,2,1] [[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,1,2,3,6]=>[1,2,7,6,3,8,4,5]=>[8,7,2,3,6,1,5,4]=>[1,1,3,2,1] [[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[8,7,4,5,1,2,3,6]=>[1,2,7,3,4,8,6,5]=>[8,7,2,6,5,1,3,4]=>[1,1,2,1,3] [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[8,7,5,3,2,1,4,6]=>[6,5,1,7,2,8,4,3]=>[3,4,8,2,7,1,5,6]=>[3,2,3] [[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[7,8,5,3,2,1,4,6]=>[6,5,1,7,2,8,3,4]=>[3,4,8,2,7,1,6,5]=>[3,2,2,1] [[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[8,7,5,2,3,1,4,6]=>[6,1,2,7,3,8,5,4]=>[3,8,7,2,6,1,4,5]=>[2,1,2,3] [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[8,7,5,3,1,2,4,6]=>[1,6,2,7,3,8,5,4]=>[8,3,7,2,6,1,4,5]=>[1,2,2,3] [[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[7,8,5,3,1,2,4,6]=>[1,6,2,7,3,8,4,5]=>[8,3,7,2,6,1,5,4]=>[1,2,2,2,1] [[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[5,1,2,7,3,8,6,4]=>[4,8,7,2,6,1,3,5]=>[2,1,2,3] [[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[5,1,2,7,3,8,4,6]=>[4,8,7,2,6,1,5,3]=>[2,1,2,2,1] [[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[1,2,3,7,4,8,6,5]=>[8,7,6,2,5,1,3,4]=>[1,1,1,2,3] [[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[1,2,3,7,4,8,5,6]=>[8,7,6,2,5,1,4,3]=>[1,1,1,2,2,1] [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[8,7,4,3,2,1,5,6]=>[6,5,4,1,2,8,7,3]=>[3,4,5,8,7,1,2,6]=>[4,1,3] [[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[7,8,2,3,4,1,5,6]=>[6,1,2,3,4,8,5,7]=>[3,8,7,6,5,1,4,2]=>[2,1,1,1,2,1] [[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[8,7,3,4,1,2,5,6]=>[1,6,2,3,4,8,7,5]=>[8,3,7,6,5,1,2,4]=>[1,2,1,1,3] [[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[7,8,3,4,1,2,5,6]=>[1,6,2,3,4,8,5,7]=>[8,3,7,6,5,1,4,2]=>[1,2,1,1,2,1] [[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[7,8,4,2,1,3,5,6]=>[5,1,6,2,3,8,4,7]=>[4,8,3,7,6,1,5,2]=>[2,2,1,2,1] [[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[7,8,4,1,2,3,5,6]=>[1,2,6,3,4,8,5,7]=>[8,7,3,6,5,1,4,2]=>[1,1,2,1,2,1] [[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[8,7,3,2,1,4,5,6]=>[5,4,1,2,3,8,7,6]=>[4,5,8,7,6,1,2,3]=>[3,1,1,3] [[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[5,4,1,2,3,8,6,7]=>[4,5,8,7,6,1,3,2]=>[3,1,1,2,1] [[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[7,8,2,3,1,4,5,6]=>[5,1,2,3,4,8,6,7]=>[4,8,7,6,5,1,3,2]=>[2,1,1,1,2,1] [[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[7,8,3,1,2,4,5,6]=>[1,5,2,3,4,8,6,7]=>[8,4,7,6,5,1,3,2]=>[1,2,1,1,2,1] [[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[8,7,2,1,3,4,5,6]=>[4,1,2,3,5,8,7,6]=>[5,8,7,6,4,1,2,3]=>[2,1,1,1,3] [[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[7,8,2,1,3,4,5,6]=>[4,1,2,3,5,8,6,7]=>[5,8,7,6,4,1,3,2]=>[2,1,1,1,2,1] [[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,8,6,7]=>[8,7,6,5,4,1,3,2]=>[1,1,1,1,1,2,1] [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[8,6,5,4,3,2,1,7]=>[7,6,5,4,3,1,8,2]=>[2,3,4,5,6,8,1,7]=>[6,2] [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[8,5,6,4,3,2,1,7]=>[7,6,5,4,1,2,8,3]=>[2,3,4,5,8,7,1,6]=>[5,1,2] [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[7,6,5,1,2,3,8,4]=>[2,3,4,8,7,6,1,5]=>[4,1,1,2] [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[8,6,5,3,4,2,1,7]=>[7,6,1,5,4,2,8,3]=>[2,3,8,4,5,7,1,6]=>[3,3,2] [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[8,5,6,3,4,2,1,7]=>[7,6,1,5,2,3,8,4]=>[2,3,8,4,7,6,1,5]=>[3,2,1,2] [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[8,4,5,3,6,2,1,7]=>[7,6,4,1,2,3,8,5]=>[2,3,5,8,7,6,1,4]=>[4,1,1,2] [[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[8,3,4,5,6,2,1,7]=>[7,6,1,2,3,4,8,5]=>[2,3,8,7,6,5,1,4]=>[3,1,1,1,2] [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,2,3,1,7]=>[7,1,6,5,4,2,8,3]=>[2,8,3,4,5,7,1,6]=>[2,4,2] [[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[8,5,6,4,2,3,1,7]=>[7,1,6,5,2,3,8,4]=>[2,8,3,4,7,6,1,5]=>[2,3,1,2] [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[8,6,5,3,2,4,1,7]=>[7,5,1,6,4,2,8,3]=>[2,4,8,3,5,7,1,6]=>[3,3,2] [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[8,6,5,2,3,4,1,7]=>[7,1,2,6,5,3,8,4]=>[2,8,7,3,4,6,1,5]=>[2,1,3,2] [[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[8,6,3,2,4,5,1,7]=>[7,4,1,2,6,3,8,5]=>[2,5,8,7,3,6,1,4]=>[3,1,2,2] [[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,3,1,2,7]=>[1,7,6,2,5,3,8,4]=>[8,2,3,7,4,6,1,5]=>[1,3,2,2] [[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[1,7,2,6,3,4,8,5]=>[8,2,7,3,6,5,1,4]=>[1,2,2,1,2] [[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[8,4,5,3,6,1,2,7]=>[1,7,5,2,3,4,8,6]=>[8,2,4,7,6,5,1,3]=>[1,3,1,1,2] [[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[8,3,4,5,6,1,2,7]=>[1,7,2,3,4,5,8,6]=>[8,2,7,6,5,4,1,3]=>[1,2,1,1,1,2] [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,2,1,3,7]=>[6,1,7,5,4,2,8,3]=>[3,8,2,4,5,7,1,6]=>[2,4,2] [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,2,1,3,7]=>[6,1,7,5,2,3,8,4]=>[3,8,2,4,7,6,1,5]=>[2,3,1,2] [[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,1,2,3,7]=>[1,2,7,6,3,4,8,5]=>[8,7,2,3,6,5,1,4]=>[1,1,3,1,2] [[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[8,4,5,6,1,2,3,7]=>[1,2,7,3,4,5,8,6]=>[8,7,2,6,5,4,1,3]=>[1,1,2,1,1,2] [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[8,6,5,3,2,1,4,7]=>[6,5,1,7,4,2,8,3]=>[3,4,8,2,5,7,1,6]=>[3,3,2] [[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[8,5,6,3,2,1,4,7]=>[6,5,1,7,2,3,8,4]=>[3,4,8,2,7,6,1,5]=>[3,2,1,2] [[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[8,6,5,2,3,1,4,7]=>[6,1,2,7,5,3,8,4]=>[3,8,7,2,4,6,1,5]=>[2,1,3,2] [[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[6,1,2,7,3,4,8,5]=>[3,8,7,2,6,5,1,4]=>[2,1,2,1,2] [[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[8,5,6,3,1,2,4,7]=>[1,6,2,7,3,4,8,5]=>[8,3,7,2,6,5,1,4]=>[1,2,2,1,2] [[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[8,5,6,2,1,3,4,7]=>[5,1,2,7,3,4,8,6]=>[4,8,7,2,6,5,1,3]=>[2,1,2,1,2] [[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[8,6,5,1,2,3,4,7]=>[1,2,3,7,6,4,8,5]=>[8,7,6,2,3,5,1,4]=>[1,1,1,3,2] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>[6,5,4,1,7,2,8,3]=>[3,4,5,8,2,7,1,6]=>[4,2,2] [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[6,5,1,2,7,3,8,4]=>[3,4,8,7,2,6,1,5]=>[3,1,2,2] [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[8,6,4,2,3,1,5,7]=>[6,1,5,2,7,3,8,4]=>[3,8,4,7,2,6,1,5]=>[2,2,2,2] [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[8,6,3,2,4,1,5,7]=>[6,4,1,2,7,3,8,5]=>[3,5,8,7,2,6,1,4]=>[3,1,2,2] [[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[8,6,3,4,1,2,5,7]=>[1,6,2,3,7,4,8,5]=>[8,3,7,6,2,5,1,4]=>[1,2,1,2,2] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[5,1,6,2,7,3,8,4]=>[4,8,3,7,2,6,1,5]=>[2,2,2,2] [[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[8,6,4,1,2,3,5,7]=>[1,2,6,3,7,4,8,5]=>[8,7,3,6,2,5,1,4]=>[1,1,2,2,2] [[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[8,6,3,2,1,4,5,7]=>[5,4,1,2,7,3,8,6]=>[4,5,8,7,2,6,1,3]=>[3,1,2,2] [[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[8,3,4,5,2,1,6,7]=>[6,5,1,2,3,4,8,7]=>[3,4,8,7,6,5,1,2]=>[3,1,1,1,2] [[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[8,5,4,2,1,3,6,7]=>[5,1,6,4,2,3,8,7]=>[4,8,3,5,7,6,1,2]=>[2,3,1,2] [[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[8,5,3,2,1,4,6,7]=>[5,4,1,6,2,3,8,7]=>[4,5,8,3,7,6,1,2]=>[3,2,1,2] [[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[8,5,3,1,2,4,6,7]=>[1,5,2,6,3,4,8,7]=>[8,4,7,3,6,5,1,2]=>[1,2,2,1,2] [[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[8,5,1,2,3,4,6,7]=>[1,2,3,6,4,5,8,7]=>[8,7,6,3,5,4,1,2]=>[1,1,1,2,1,2] [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[8,4,3,2,1,5,6,7]=>[5,4,3,1,2,6,8,7]=>[4,5,6,8,7,3,1,2]=>[4,1,1,2] [[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>[5,1,2,3,4,6,8,7]=>[4,8,7,6,5,3,1,2]=>[2,1,1,1,1,2] [[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[8,3,4,1,2,5,6,7]=>[1,5,2,3,4,6,8,7]=>[8,4,7,6,5,3,1,2]=>[1,2,1,1,1,2] [[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[8,4,2,1,3,5,6,7]=>[4,1,5,2,3,6,8,7]=>[5,8,4,7,6,3,1,2]=>[2,2,1,1,2] [[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>[4,3,1,2,5,6,8,7]=>[5,6,8,7,4,3,1,2]=>[3,1,1,1,2] [[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[8,2,3,1,4,5,6,7]=>[4,1,2,3,5,6,8,7]=>[5,8,7,6,4,3,1,2]=>[2,1,1,1,1,2] [[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>[1,4,2,3,5,6,8,7]=>[8,5,7,6,4,3,1,2]=>[1,2,1,1,1,2] [[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,2] [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[2,3,4,5,6,7,8,1]=>[7,1] [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[7,6,5,4,3,1,2,8]=>[2,3,4,5,6,8,7,1]=>[6,1,1] [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[7,5,6,4,3,2,1,8]=>[7,6,5,4,1,3,2,8]=>[2,3,4,5,8,6,7,1]=>[5,2,1] [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[7,6,5,4,2,1,3,8]=>[2,3,4,5,7,8,6,1]=>[6,1,1] [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[7,6,5,4,1,2,3,8]=>[2,3,4,5,8,7,6,1]=>[5,1,1,1] [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>[7,6,5,1,4,3,2,8]=>[2,3,4,8,5,6,7,1]=>[4,3,1] [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[7,4,5,6,3,2,1,8]=>[7,6,5,1,2,4,3,8]=>[2,3,4,8,7,5,6,1]=>[4,1,2,1] [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[7,6,5,3,2,1,4,8]=>[2,3,4,6,7,8,5,1]=>[6,1,1] [[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[7,6,5,3,1,2,4,8]=>[2,3,4,6,8,7,5,1]=>[5,1,1,1] [[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[7,6,5,1,2,3,4,8]=>[2,3,4,8,7,6,5,1]=>[4,1,1,1,1] [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[7,6,5,3,4,2,1,8]=>[7,6,1,5,4,3,2,8]=>[2,3,8,4,5,6,7,1]=>[3,4,1] [[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>[6,7,5,3,4,2,1,8]=>[7,6,1,5,4,2,3,8]=>[2,3,8,4,5,7,6,1]=>[3,3,1,1] [[.,[.,[[.,.],[[.,[.,.]],.]]]],.]=>[6,5,7,3,4,2,1,8]=>[7,6,1,5,3,2,4,8]=>[2,3,8,4,6,7,5,1]=>[3,3,1,1] [[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[5,6,7,3,4,2,1,8]=>[7,6,1,5,2,3,4,8]=>[2,3,8,4,7,6,5,1]=>[3,2,1,1,1] [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[7,6,3,4,5,2,1,8]=>[7,6,1,2,5,4,3,8]=>[2,3,8,7,4,5,6,1]=>[3,1,3,1] [[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[7,4,5,3,6,2,1,8]=>[7,6,4,1,2,5,3,8]=>[2,3,5,8,7,4,6,1]=>[4,1,2,1] [[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>[7,3,4,5,6,2,1,8]=>[7,6,1,2,3,5,4,8]=>[2,3,8,7,6,4,5,1]=>[3,1,1,2,1] [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[7,6,4,3,2,1,5,8]=>[2,3,5,6,7,8,4,1]=>[6,1,1] [[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[7,6,4,2,1,3,5,8]=>[2,3,5,7,8,6,4,1]=>[5,1,1,1] [[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[7,6,3,2,1,4,5,8]=>[2,3,6,7,8,5,4,1]=>[5,1,1,1] [[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,2,3,1,8]=>[7,1,6,2,5,4,3,8]=>[2,8,3,7,4,5,6,1]=>[2,2,3,1] [[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[6,7,4,5,2,3,1,8]=>[7,1,6,2,5,3,4,8]=>[2,8,3,7,4,6,5,1]=>[2,2,2,1,1] [[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,2,3,1,8]=>[7,1,6,2,3,5,4,8]=>[2,8,3,7,6,4,5,1]=>[2,2,1,2,1] [[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>[6,5,4,7,2,3,1,8]=>[7,1,6,4,3,2,5,8]=>[2,8,3,5,6,7,4,1]=>[2,4,1,1] [[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[5,6,4,7,2,3,1,8]=>[7,1,6,4,2,3,5,8]=>[2,8,3,5,7,6,4,1]=>[2,3,1,1,1] [[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,2,3,1,8]=>[7,1,6,3,2,4,5,8]=>[2,8,3,6,7,5,4,1]=>[2,3,1,1,1] [[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[4,5,6,7,2,3,1,8]=>[7,1,6,2,3,4,5,8]=>[2,8,3,7,6,5,4,1]=>[2,2,1,1,1,1] [[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[5,6,7,3,2,4,1,8]=>[7,5,1,6,2,3,4,8]=>[2,4,8,3,7,6,5,1]=>[3,2,1,1,1] [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[7,1,2,6,5,4,3,8]=>[2,8,7,3,4,5,6,1]=>[2,1,4,1] [[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[6,7,5,2,3,4,1,8]=>[7,1,2,6,5,3,4,8]=>[2,8,7,3,4,6,5,1]=>[2,1,3,1,1] [[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[6,7,4,3,2,5,1,8]=>[7,5,4,1,6,2,3,8]=>[2,4,5,8,3,7,6,1]=>[4,2,1,1] [[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[6,7,3,4,2,5,1,8]=>[7,5,1,2,6,3,4,8]=>[2,4,8,7,3,6,5,1]=>[3,1,2,1,1] [[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[6,7,3,2,4,5,1,8]=>[7,4,1,2,6,3,5,8]=>[2,5,8,7,3,6,4,1]=>[3,1,2,1,1] [[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[7,6,2,3,4,5,1,8]=>[7,1,2,3,6,5,4,8]=>[2,8,7,6,3,4,5,1]=>[2,1,1,3,1] [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[7,5,3,4,2,6,1,8]=>[7,5,1,4,2,6,3,8]=>[2,4,8,5,7,3,6,1]=>[3,2,2,1] [[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[7,4,3,5,2,6,1,8]=>[7,5,3,1,2,6,4,8]=>[2,4,6,8,7,3,5,1]=>[4,1,2,1] [[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>[7,4,5,2,3,6,1,8]=>[7,1,5,2,3,6,4,8]=>[2,8,4,7,6,3,5,1]=>[2,2,1,2,1] [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[7,5,3,2,4,6,1,8]=>[7,4,1,5,2,6,3,8]=>[2,5,8,4,7,3,6,1]=>[3,2,2,1] [[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[5,6,3,4,2,7,1,8]=>[7,5,1,4,2,3,6,8]=>[2,4,8,5,7,6,3,1]=>[3,2,1,1,1] [[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>[6,3,4,5,2,7,1,8]=>[7,5,1,2,4,3,6,8]=>[2,4,8,7,5,6,3,1]=>[3,1,2,1,1] [[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[5,4,3,6,2,7,1,8]=>[7,5,3,2,1,4,6,8]=>[2,4,6,7,8,5,3,1]=>[5,1,1,1] [[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[7,5,3,1,2,4,6,8]=>[2,4,6,8,7,5,3,1]=>[4,1,1,1,1] [[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[7,5,1,2,3,4,6,8]=>[2,4,8,7,6,5,3,1]=>[3,1,1,1,1,1] [[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>[6,5,3,2,4,7,1,8]=>[7,4,1,5,3,2,6,8]=>[2,5,8,4,6,7,3,1]=>[3,3,1,1] [[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[6,4,2,3,5,7,1,8]=>[7,1,4,2,5,3,6,8]=>[2,8,5,7,4,6,3,1]=>[2,2,2,1,1] [[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>[6,3,2,4,5,7,1,8]=>[7,3,1,2,5,4,6,8]=>[2,6,8,7,4,5,3,1]=>[3,1,2,1,1] [[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[6,2,3,4,5,7,1,8]=>[7,1,2,3,5,4,6,8]=>[2,8,7,6,4,5,3,1]=>[2,1,1,2,1,1] [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[7,4,3,2,1,5,6,8]=>[2,5,6,7,8,4,3,1]=>[5,1,1,1] [[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,3,1,2,8]=>[1,7,6,2,3,5,4,8]=>[8,2,3,7,6,4,5,1]=>[1,3,1,2,1] [[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,3,1,2,8]=>[1,7,6,3,2,4,5,8]=>[8,2,3,6,7,5,4,1]=>[1,4,1,1,1] [[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[4,5,6,7,3,1,2,8]=>[1,7,6,2,3,4,5,8]=>[8,2,3,7,6,5,4,1]=>[1,3,1,1,1,1] [[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[7,5,6,3,4,1,2,8]=>[1,7,2,6,3,5,4,8]=>[8,2,7,3,6,4,5,1]=>[1,2,2,2,1] [[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[7,5,3,4,6,1,2,8]=>[1,7,2,5,3,6,4,8]=>[8,2,7,4,6,3,5,1]=>[1,2,2,2,1] [[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>[6,5,4,3,7,1,2,8]=>[1,7,5,4,3,2,6,8]=>[8,2,4,5,6,7,3,1]=>[1,5,1,1] [[[.,.],[[[[[.,.],.],.],.],.]],.]=>[3,4,5,6,7,1,2,8]=>[1,7,2,3,4,5,6,8]=>[8,2,7,6,5,4,3,1]=>[1,2,1,1,1,1,1] [[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,2,1,3,8]=>[6,1,7,2,3,5,4,8]=>[3,8,2,7,6,4,5,1]=>[2,2,1,2,1] [[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[4,5,6,7,2,1,3,8]=>[6,1,7,2,3,4,5,8]=>[3,8,2,7,6,5,4,1]=>[2,2,1,1,1,1] [[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,1,2,3,8]=>[1,2,7,5,3,6,4,8]=>[8,7,2,4,6,3,5,1]=>[1,1,3,2,1] [[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,1,2,3,8]=>[1,2,7,3,4,6,5,8]=>[8,7,2,6,5,3,4,1]=>[1,1,2,1,2,1] [[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[5,4,6,7,1,2,3,8]=>[1,2,7,4,3,5,6,8]=>[8,7,2,5,6,4,3,1]=>[1,1,3,1,1,1] [[[[.,.],.],[[[[.,.],.],.],.]],.]=>[4,5,6,7,1,2,3,8]=>[1,2,7,3,4,5,6,8]=>[8,7,2,6,5,4,3,1]=>[1,1,2,1,1,1,1] [[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[7,6,5,2,3,1,4,8]=>[6,1,2,7,5,4,3,8]=>[3,8,7,2,4,5,6,1]=>[2,1,4,1] [[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[7,5,6,2,3,1,4,8]=>[6,1,2,7,3,5,4,8]=>[3,8,7,2,6,4,5,1]=>[2,1,2,2,1] [[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[5,6,7,2,3,1,4,8]=>[6,1,2,7,3,4,5,8]=>[3,8,7,2,6,5,4,1]=>[2,1,2,1,1,1] [[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[7,5,6,3,1,2,4,8]=>[1,6,2,7,3,5,4,8]=>[8,3,7,2,6,4,5,1]=>[1,2,2,2,1] [[[[.,.],[.,.]],[[[.,.],.],.]],.]=>[5,6,7,3,1,2,4,8]=>[1,6,2,7,3,4,5,8]=>[8,3,7,2,6,5,4,1]=>[1,2,2,1,1,1] [[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[5,6,7,2,1,3,4,8]=>[5,1,2,7,3,4,6,8]=>[4,8,7,2,6,5,3,1]=>[2,1,2,1,1,1] [[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[7,6,5,1,2,3,4,8]=>[1,2,3,7,6,5,4,8]=>[8,7,6,2,3,4,5,1]=>[1,1,1,4,1] [[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[7,5,6,1,2,3,4,8]=>[1,2,3,7,4,6,5,8]=>[8,7,6,2,5,3,4,1]=>[1,1,1,2,2,1] [[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[6,5,7,1,2,3,4,8]=>[1,2,3,7,5,4,6,8]=>[8,7,6,2,4,5,3,1]=>[1,1,1,3,1,1] [[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>[1,2,3,7,4,5,6,8]=>[8,7,6,2,5,4,3,1]=>[1,1,1,2,1,1,1] [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[7,6,4,3,2,1,5,8]=>[6,5,4,1,7,3,2,8]=>[3,4,5,8,2,6,7,1]=>[4,3,1] [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[6,7,4,3,2,1,5,8]=>[6,5,4,1,7,2,3,8]=>[3,4,5,8,2,7,6,1]=>[4,2,1,1] [[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[7,6,3,2,4,1,5,8]=>[6,4,1,2,7,5,3,8]=>[3,5,8,7,2,4,6,1]=>[3,1,3,1] [[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[7,6,2,3,4,1,5,8]=>[6,1,2,3,7,5,4,8]=>[3,8,7,6,2,4,5,1]=>[2,1,1,3,1] [[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[6,7,2,3,4,1,5,8]=>[6,1,2,3,7,4,5,8]=>[3,8,7,6,2,5,4,1]=>[2,1,1,2,1,1] [[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[7,6,4,2,1,3,5,8]=>[5,1,6,2,7,4,3,8]=>[4,8,3,7,2,5,6,1]=>[2,2,3,1] [[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>[7,6,2,3,1,4,5,8]=>[5,1,2,3,7,6,4,8]=>[4,8,7,6,2,3,5,1]=>[2,1,1,3,1] [[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[6,7,3,1,2,4,5,8]=>[1,5,2,3,7,4,6,8]=>[8,4,7,6,2,5,3,1]=>[1,2,1,2,1,1] [[[[[[.,.],.],.],.],[[.,.],.]],.]=>[6,7,1,2,3,4,5,8]=>[1,2,3,4,7,5,6,8]=>[8,7,6,5,2,4,3,1]=>[1,1,1,1,2,1,1] [[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[7,5,2,3,4,1,6,8]=>[6,1,2,5,3,7,4,8]=>[3,8,7,4,6,2,5,1]=>[2,1,2,2,1] [[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[7,2,3,4,5,1,6,8]=>[6,1,2,3,4,7,5,8]=>[3,8,7,6,5,2,4,1]=>[2,1,1,1,2,1] [[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[7,5,3,4,1,2,6,8]=>[1,6,2,5,3,7,4,8]=>[8,3,7,4,6,2,5,1]=>[1,2,2,2,1] [[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[7,4,5,1,2,3,6,8]=>[1,2,6,3,4,7,5,8]=>[8,7,3,6,5,2,4,1]=>[1,1,2,1,2,1] [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[7,5,3,2,1,4,6,8]=>[5,4,1,6,2,7,3,8]=>[4,5,8,3,7,2,6,1]=>[3,2,2,1] [[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[7,5,3,1,2,4,6,8]=>[1,5,2,6,3,7,4,8]=>[8,4,7,3,6,2,5,1]=>[1,2,2,2,1] [[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[7,5,1,2,3,4,6,8]=>[1,2,3,6,4,7,5,8]=>[8,7,6,3,5,2,4,1]=>[1,1,1,2,2,1] [[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[7,4,3,1,2,5,6,8]=>[1,5,4,2,3,7,6,8]=>[8,4,5,7,6,2,3,1]=>[1,3,1,2,1] [[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[7,3,4,1,2,5,6,8]=>[1,5,2,3,4,7,6,8]=>[8,4,7,6,5,2,3,1]=>[1,2,1,1,2,1] [[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[7,3,1,2,4,5,6,8]=>[1,4,2,3,5,7,6,8]=>[8,5,7,6,4,2,3,1]=>[1,2,1,1,2,1] [[[[[[[.,.],.],.],.],.],[.,.]],.]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[8,7,6,5,4,2,3,1]=>[1,1,1,1,1,2,1] [[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[6,5,4,1,2,3,7,8]=>[3,4,5,8,7,6,2,1]=>[4,1,1,1,1] [[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[6,5,3,4,2,1,7,8]=>[6,5,1,4,3,2,7,8]=>[3,4,8,5,6,7,2,1]=>[3,3,1,1] [[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>[5,4,3,6,2,1,7,8]=>[6,5,3,2,1,4,7,8]=>[3,4,6,7,8,5,2,1]=>[5,1,1,1] [[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[6,5,1,2,3,4,7,8]=>[3,4,8,7,6,5,2,1]=>[3,1,1,1,1,1] [[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>[5,6,3,2,4,1,7,8]=>[6,4,1,5,2,3,7,8]=>[3,5,8,4,7,6,2,1]=>[3,2,1,1,1] [[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[6,5,2,3,4,1,7,8]=>[6,1,2,5,4,3,7,8]=>[3,8,7,4,5,6,2,1]=>[2,1,3,1,1] [[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[6,4,3,2,5,1,7,8]=>[6,4,3,1,5,2,7,8]=>[3,5,6,8,4,7,2,1]=>[4,2,1,1] [[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[6,4,3,2,1,5,7,8]=>[3,5,6,7,8,4,2,1]=>[5,1,1,1] [[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[6,4,3,1,2,5,7,8]=>[3,5,6,8,7,4,2,1]=>[4,1,1,1,1] [[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>[5,3,2,4,6,1,7,8]=>[6,3,1,4,2,5,7,8]=>[3,6,8,5,7,4,2,1]=>[3,2,1,1,1] [[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[6,4,3,5,1,2,7,8]=>[1,6,4,2,5,3,7,8]=>[8,3,5,7,4,6,2,1]=>[1,3,2,1,1] [[[[.,[.,.]],[.,[[.,.],.]]],.],.]=>[5,6,4,2,1,3,7,8]=>[5,1,6,4,2,3,7,8]=>[4,8,3,5,7,6,2,1]=>[2,3,1,1,1] [[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[6,4,5,2,1,3,7,8]=>[5,1,6,2,4,3,7,8]=>[4,8,3,7,5,6,2,1]=>[2,2,2,1,1] [[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[5,6,3,2,1,4,7,8]=>[5,4,1,6,2,3,7,8]=>[4,5,8,3,7,6,2,1]=>[3,2,1,1,1] [[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[6,5,1,2,3,4,7,8]=>[1,2,3,6,5,4,7,8]=>[8,7,6,3,4,5,2,1]=>[1,1,1,3,1,1] [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[6,4,3,2,1,5,7,8]=>[5,4,3,1,6,2,7,8]=>[4,5,6,8,3,7,2,1]=>[4,2,1,1] [[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[6,4,3,1,2,5,7,8]=>[1,5,4,2,6,3,7,8]=>[8,4,5,7,3,6,2,1]=>[1,3,2,1,1] [[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[6,4,2,1,3,5,7,8]=>[4,1,5,2,6,3,7,8]=>[5,8,4,7,3,6,2,1]=>[2,2,2,1,1] [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[4,5,6,7,8,3,2,1]=>[5,1,1,1] [[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[5,4,3,1,2,6,7,8]=>[4,5,6,8,7,3,2,1]=>[4,1,1,1,1] [[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[5,3,4,2,1,6,7,8]=>[5,4,1,3,2,6,7,8]=>[4,5,8,6,7,3,2,1]=>[3,2,1,1,1] [[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[5,4,2,1,3,6,7,8]=>[4,5,7,8,6,3,2,1]=>[4,1,1,1,1] [[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[5,4,1,2,3,6,7,8]=>[4,5,8,7,6,3,2,1]=>[3,1,1,1,1,1] [[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[5,4,2,3,1,6,7,8]=>[5,1,4,3,2,6,7,8]=>[4,8,5,6,7,3,2,1]=>[2,3,1,1,1] [[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[4,5,2,3,1,6,7,8]=>[5,1,4,2,3,6,7,8]=>[4,8,5,7,6,3,2,1]=>[2,2,1,1,1,1] [[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[5,3,2,4,1,6,7,8]=>[5,3,1,4,2,6,7,8]=>[4,6,8,5,7,3,2,1]=>[3,2,1,1,1] [[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[5,2,3,4,1,6,7,8]=>[5,1,2,4,3,6,7,8]=>[4,8,7,5,6,3,2,1]=>[2,1,2,1,1,1] [[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[5,3,2,1,4,6,7,8]=>[4,6,7,8,5,3,2,1]=>[4,1,1,1,1] [[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[5,3,1,2,4,6,7,8]=>[4,6,8,7,5,3,2,1]=>[3,1,1,1,1,1] [[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[4,2,3,5,1,6,7,8]=>[5,1,3,2,4,6,7,8]=>[4,8,6,7,5,3,2,1]=>[2,2,1,1,1,1] [[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[5,2,1,3,4,6,7,8]=>[4,7,8,6,5,3,2,1]=>[3,1,1,1,1,1] [[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>[4,8,7,6,5,3,2,1]=>[2,1,1,1,1,1,1] [[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[5,4,3,1,2,6,7,8]=>[1,5,4,3,2,6,7,8]=>[8,4,5,6,7,3,2,1]=>[1,4,1,1,1] [[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[5,3,4,1,2,6,7,8]=>[1,5,2,4,3,6,7,8]=>[8,4,7,5,6,3,2,1]=>[1,2,2,1,1,1] [[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[5,4,2,1,3,6,7,8]=>[4,1,5,3,2,6,7,8]=>[5,8,4,6,7,3,2,1]=>[2,3,1,1,1] [[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[5,3,2,1,4,6,7,8]=>[4,3,1,5,2,6,7,8]=>[5,6,8,4,7,3,2,1]=>[3,2,1,1,1] [[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[5,2,3,1,4,6,7,8]=>[4,1,2,5,3,6,7,8]=>[5,8,7,4,6,3,2,1]=>[2,1,2,1,1,1] [[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[5,3,1,2,4,6,7,8]=>[1,4,2,5,3,6,7,8]=>[8,5,7,4,6,3,2,1]=>[1,2,2,1,1,1] [[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[5,2,1,3,4,6,7,8]=>[3,1,2,5,4,6,7,8]=>[6,8,7,4,5,3,2,1]=>[2,1,2,1,1,1] [[[[[[[.,.],.],.],[.,.]],.],.],.]=>[5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[8,7,6,4,5,3,2,1]=>[1,1,1,2,1,1,1] [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[5,6,7,8,4,3,2,1]=>[4,1,1,1,1] [[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>[5,6,8,7,4,3,2,1]=>[3,1,1,1,1,1] [[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[4,2,3,1,5,6,7,8]=>[4,1,3,2,5,6,7,8]=>[5,8,6,7,4,3,2,1]=>[2,2,1,1,1,1] [[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>[5,7,8,6,4,3,2,1]=>[3,1,1,1,1,1] [[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[5,8,7,6,4,3,2,1]=>[2,1,1,1,1,1,1] [[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[4,3,1,2,5,6,7,8]=>[1,4,3,2,5,6,7,8]=>[8,5,6,7,4,3,2,1]=>[1,3,1,1,1,1] [[[[[[.,.],[[.,.],.]],.],.],.],.]=>[3,4,1,2,5,6,7,8]=>[1,4,2,3,5,6,7,8]=>[8,5,7,6,4,3,2,1]=>[1,2,1,1,1,1,1] [[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[4,2,1,3,5,6,7,8]=>[3,1,4,2,5,6,7,8]=>[6,8,5,7,4,3,2,1]=>[2,2,1,1,1,1] [[[[[[[.,.],.],[.,.]],.],.],.],.]=>[4,1,2,3,5,6,7,8]=>[1,2,4,3,5,6,7,8]=>[8,7,5,6,4,3,2,1]=>[1,1,2,1,1,1,1] [[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[6,7,8,5,4,3,2,1]=>[3,1,1,1,1,1] [[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[6,8,7,5,4,3,2,1]=>[2,1,1,1,1,1,1] [[[[[[[.,.],[.,.]],.],.],.],.],.]=>[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[8,6,7,5,4,3,2,1]=>[1,2,1,1,1,1,1] [[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[7,8,6,5,4,3,2,1]=>[2,1,1,1,1,1,1] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1]
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
major-index to inversion-number bijection
Description
Return the permutation whose Lehmer code equals the major code of the preimage.
This map sends the major index to the number of inversions.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
Map
descent composition
Description
The descent composition of a permutation.
The descent composition of a permutation $\pi$ of length $n$ is the integer composition of $n$ whose descent set equals the descent set of $\pi$. The descent set of a permutation $\pi$ is $\{i \mid 1 \leq i < n, \pi(i) > \pi(i+1)\}$. The descent set of a composition $c = (i_1, i_2, \ldots, i_k)$ is the set $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.