Identifier
Mp00014: Binary trees to 132-avoiding permutationPermutations
Mp00066: Permutations inversePermutations
Mp00071: Permutations descent compositionInteger compositions
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1] [.,[.,.]]=>[2,1]=>[2,1]=>[1,1] [[.,.],.]=>[1,2]=>[1,2]=>[2] [.,[.,[.,.]]]=>[3,2,1]=>[3,2,1]=>[1,1,1] [.,[[.,.],.]]=>[2,3,1]=>[3,1,2]=>[1,2] [[.,.],[.,.]]=>[3,1,2]=>[2,3,1]=>[2,1] [[.,[.,.]],.]=>[2,1,3]=>[2,1,3]=>[1,2] [[[.,.],.],.]=>[1,2,3]=>[1,2,3]=>[3] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1]=>[1,1,1,1] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[4,3,1,2]=>[1,1,2] [.,[[.,.],[.,.]]]=>[4,2,3,1]=>[4,2,3,1]=>[1,2,1] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[4,2,1,3]=>[1,1,2] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[4,1,2,3]=>[1,3] [[.,.],[.,[.,.]]]=>[4,3,1,2]=>[3,4,2,1]=>[2,1,1] [[.,.],[[.,.],.]]=>[3,4,1,2]=>[3,4,1,2]=>[2,2] [[.,[.,.]],[.,.]]=>[4,2,1,3]=>[3,2,4,1]=>[1,2,1] [[[.,.],.],[.,.]]=>[4,1,2,3]=>[2,3,4,1]=>[3,1] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1,4]=>[1,1,2] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[3,1,2,4]=>[1,3] [[[.,.],[.,.]],.]=>[3,1,2,4]=>[2,3,1,4]=>[2,2] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,1,3,4]=>[1,3] [[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4]=>[4] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[1,1,1,1,1] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[5,4,3,1,2]=>[1,1,1,2] [.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[5,4,2,3,1]=>[1,1,2,1] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[5,4,2,1,3]=>[1,1,1,2] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[5,4,1,2,3]=>[1,1,3] [.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[5,3,4,2,1]=>[1,2,1,1] [.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[5,3,4,1,2]=>[1,2,2] [.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[5,3,2,4,1]=>[1,1,2,1] [.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[5,2,3,4,1]=>[1,3,1] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[5,3,2,1,4]=>[1,1,1,2] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[5,3,1,2,4]=>[1,1,3] [.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[5,2,3,1,4]=>[1,2,2] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[5,2,1,3,4]=>[1,1,3] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[5,1,2,3,4]=>[1,4] [[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[4,5,3,2,1]=>[2,1,1,1] [[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[4,5,3,1,2]=>[2,1,2] [[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[4,5,2,3,1]=>[2,2,1] [[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[4,5,2,1,3]=>[2,1,2] [[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[4,5,1,2,3]=>[2,3] [[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[4,3,5,2,1]=>[1,2,1,1] [[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[4,3,5,1,2]=>[1,2,2] [[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[3,4,5,2,1]=>[3,1,1] [[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[3,4,5,1,2]=>[3,2] [[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[4,3,2,5,1]=>[1,1,2,1] [[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[4,2,3,5,1]=>[1,3,1] [[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[3,4,2,5,1]=>[2,2,1] [[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[3,2,4,5,1]=>[1,3,1] [[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[2,3,4,5,1]=>[4,1] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[1,1,1,2] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[4,3,1,2,5]=>[1,1,3] [[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[4,2,3,1,5]=>[1,2,2] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[4,2,1,3,5]=>[1,1,3] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[4,1,2,3,5]=>[1,4] [[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[3,4,2,1,5]=>[2,1,2] [[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[3,4,1,2,5]=>[2,3] [[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[3,2,4,1,5]=>[1,2,2] [[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[2,3,4,1,5]=>[3,2] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[1,1,3] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[3,1,2,4,5]=>[1,4] [[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[2,3,1,4,5]=>[2,3] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[1,4] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[5] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[1,1,1,1,1,1] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2]=>[1,1,1,1,2] [.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[6,5,4,2,3,1]=>[1,1,1,2,1] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[6,5,4,2,1,3]=>[1,1,1,1,2] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>[1,1,1,3] [.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[6,5,3,4,2,1]=>[1,1,2,1,1] [.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[6,5,3,4,1,2]=>[1,1,2,2] [.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[6,5,3,2,4,1]=>[1,1,1,2,1] [.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[6,5,2,3,4,1]=>[1,1,3,1] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[6,5,3,2,1,4]=>[1,1,1,1,2] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>[1,1,1,3] [.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[6,5,2,3,1,4]=>[1,1,2,2] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4]=>[1,1,1,3] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>[1,1,4] [.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[6,4,5,3,2,1]=>[1,2,1,1,1] [.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[6,4,5,3,1,2]=>[1,2,1,2] [.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[6,4,5,2,3,1]=>[1,2,2,1] [.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[6,4,5,2,1,3]=>[1,2,1,2] [.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[6,4,5,1,2,3]=>[1,2,3] [.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[6,4,3,5,2,1]=>[1,1,2,1,1] [.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[6,4,3,5,1,2]=>[1,1,2,2] [.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[6,3,4,5,2,1]=>[1,3,1,1] [.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[6,3,4,5,1,2]=>[1,3,2] [.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[6,4,3,2,5,1]=>[1,1,1,2,1] [.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[6,4,2,3,5,1]=>[1,1,3,1] [.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[6,3,4,2,5,1]=>[1,2,2,1] [.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[6,3,2,4,5,1]=>[1,1,3,1] [.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[6,2,3,4,5,1]=>[1,4,1] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[6,4,3,2,1,5]=>[1,1,1,1,2] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>[1,1,1,3] [.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[6,4,2,3,1,5]=>[1,1,2,2] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[6,4,2,1,3,5]=>[1,1,1,3] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>[1,1,4] [.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[6,3,4,2,1,5]=>[1,2,1,2] [.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[6,3,4,1,2,5]=>[1,2,3] [.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[6,3,2,4,1,5]=>[1,1,2,2] [.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[6,2,3,4,1,5]=>[1,3,2] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>[1,1,1,3] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>[1,1,4] [.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[6,2,3,1,4,5]=>[1,2,3] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>[1,1,4] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[1,5] [[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[5,6,4,3,2,1]=>[2,1,1,1,1] [[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[5,6,4,3,1,2]=>[2,1,1,2] [[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[5,6,4,2,3,1]=>[2,1,2,1] [[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[5,6,4,2,1,3]=>[2,1,1,2] [[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[5,6,4,1,2,3]=>[2,1,3] [[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[5,6,3,4,2,1]=>[2,2,1,1] [[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[5,6,3,4,1,2]=>[2,2,2] [[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[5,6,3,2,4,1]=>[2,1,2,1] [[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[5,6,2,3,4,1]=>[2,3,1] [[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[5,6,3,2,1,4]=>[2,1,1,2] [[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[5,6,3,1,2,4]=>[2,1,3] [[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[5,6,2,3,1,4]=>[2,2,2] [[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[5,6,2,1,3,4]=>[2,1,3] [[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[5,6,1,2,3,4]=>[2,4] [[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[5,4,6,3,2,1]=>[1,2,1,1,1] [[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[5,4,6,3,1,2]=>[1,2,1,2] [[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[5,4,6,2,3,1]=>[1,2,2,1] [[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[5,4,6,2,1,3]=>[1,2,1,2] [[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[5,4,6,1,2,3]=>[1,2,3] [[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[4,5,6,3,2,1]=>[3,1,1,1] [[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[4,5,6,3,1,2]=>[3,1,2] [[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[4,5,6,2,3,1]=>[3,2,1] [[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[4,5,6,2,1,3]=>[3,1,2] [[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[4,5,6,1,2,3]=>[3,3] [[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[5,4,3,6,2,1]=>[1,1,2,1,1] [[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[5,4,3,6,1,2]=>[1,1,2,2] [[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[5,3,4,6,2,1]=>[1,3,1,1] [[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[5,3,4,6,1,2]=>[1,3,2] [[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[4,5,3,6,2,1]=>[2,2,1,1] [[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[4,5,3,6,1,2]=>[2,2,2] [[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[4,3,5,6,2,1]=>[1,3,1,1] [[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[4,3,5,6,1,2]=>[1,3,2] [[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[3,4,5,6,2,1]=>[4,1,1] [[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[3,4,5,6,1,2]=>[4,2] [[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[5,4,3,2,6,1]=>[1,1,1,2,1] [[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[5,4,2,3,6,1]=>[1,1,3,1] [[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[5,3,4,2,6,1]=>[1,2,2,1] [[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[5,3,2,4,6,1]=>[1,1,3,1] [[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[5,2,3,4,6,1]=>[1,4,1] [[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[4,5,3,2,6,1]=>[2,1,2,1] [[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[4,5,2,3,6,1]=>[2,3,1] [[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[4,3,5,2,6,1]=>[1,2,2,1] [[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[3,4,5,2,6,1]=>[3,2,1] [[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[4,3,2,5,6,1]=>[1,1,3,1] [[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[4,2,3,5,6,1]=>[1,4,1] [[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[3,4,2,5,6,1]=>[2,3,1] [[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[3,2,4,5,6,1]=>[1,4,1] [[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[2,3,4,5,6,1]=>[5,1] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[1,1,1,1,2] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[5,4,3,1,2,6]=>[1,1,1,3] [[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[5,4,2,3,1,6]=>[1,1,2,2] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[5,4,2,1,3,6]=>[1,1,1,3] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>[1,1,4] [[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[5,3,4,2,1,6]=>[1,2,1,2] [[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[5,3,4,1,2,6]=>[1,2,3] [[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[5,3,2,4,1,6]=>[1,1,2,2] [[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[5,2,3,4,1,6]=>[1,3,2] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6]=>[1,1,1,3] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>[1,1,4] [[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[5,2,3,1,4,6]=>[1,2,3] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>[1,1,4] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[1,5] [[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[4,5,3,2,1,6]=>[2,1,1,2] [[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[4,5,3,1,2,6]=>[2,1,3] [[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[4,5,2,3,1,6]=>[2,2,2] [[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[4,5,2,1,3,6]=>[2,1,3] [[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[4,5,1,2,3,6]=>[2,4] [[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[4,3,5,2,1,6]=>[1,2,1,2] [[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[4,3,5,1,2,6]=>[1,2,3] [[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[3,4,5,2,1,6]=>[3,1,2] [[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[3,4,5,1,2,6]=>[3,3] [[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[4,3,2,5,1,6]=>[1,1,2,2] [[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[4,2,3,5,1,6]=>[1,3,2] [[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[3,4,2,5,1,6]=>[2,2,2] [[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[3,2,4,5,1,6]=>[1,3,2] [[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[2,3,4,5,1,6]=>[4,2] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[1,1,1,3] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>[1,1,4] [[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[4,2,3,1,5,6]=>[1,2,3] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>[1,1,4] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[1,5] [[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[3,4,2,1,5,6]=>[2,1,3] [[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[3,4,1,2,5,6]=>[2,4] [[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[3,2,4,1,5,6]=>[1,2,3] [[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[2,3,4,1,5,6]=>[3,3] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[1,1,4] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[1,5] [[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[2,3,1,4,5,6]=>[2,4] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[1,5] [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[6] [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2]=>[1,1,1,1,1,2] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[7,6,5,4,2,3,1]=>[1,1,1,1,2,1] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3]=>[1,1,1,1,1,2] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3]=>[1,1,1,1,3] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[7,6,5,3,4,2,1]=>[1,1,1,2,1,1] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[7,6,5,3,4,1,2]=>[1,1,1,2,2] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[7,6,5,3,2,4,1]=>[1,1,1,1,2,1] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[7,6,5,2,3,4,1]=>[1,1,1,3,1] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[7,6,5,3,2,1,4]=>[1,1,1,1,1,2] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[7,6,5,3,1,2,4]=>[1,1,1,1,3] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[7,6,5,2,3,1,4]=>[1,1,1,2,2] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[7,6,5,2,1,3,4]=>[1,1,1,1,3] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4]=>[1,1,1,4] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[7,6,4,5,3,2,1]=>[1,1,2,1,1,1] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[7,6,4,5,3,1,2]=>[1,1,2,1,2] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[7,6,4,5,2,3,1]=>[1,1,2,2,1] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[7,6,4,5,2,1,3]=>[1,1,2,1,2] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[7,6,4,5,1,2,3]=>[1,1,2,3] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[7,6,4,3,5,2,1]=>[1,1,1,2,1,1] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[7,6,4,3,5,1,2]=>[1,1,1,2,2] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[7,6,3,4,5,2,1]=>[1,1,3,1,1] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[7,6,3,4,5,1,2]=>[1,1,3,2] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[7,6,4,3,2,5,1]=>[1,1,1,1,2,1] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[7,6,4,2,3,5,1]=>[1,1,1,3,1] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[7,6,3,4,2,5,1]=>[1,1,2,2,1] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[7,6,3,2,4,5,1]=>[1,1,1,3,1] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[7,6,2,3,4,5,1]=>[1,1,4,1] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[7,6,4,3,2,1,5]=>[1,1,1,1,1,2] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[7,6,4,3,1,2,5]=>[1,1,1,1,3] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[7,6,4,2,3,1,5]=>[1,1,1,2,2] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[7,6,4,2,1,3,5]=>[1,1,1,1,3] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[7,6,4,1,2,3,5]=>[1,1,1,4] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[7,6,3,4,2,1,5]=>[1,1,2,1,2] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[7,6,3,4,1,2,5]=>[1,1,2,3] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[7,6,3,2,4,1,5]=>[1,1,1,2,2] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[7,6,2,3,4,1,5]=>[1,1,3,2] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[7,6,3,2,1,4,5]=>[1,1,1,1,3] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[7,6,3,1,2,4,5]=>[1,1,1,4] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[7,6,2,3,1,4,5]=>[1,1,2,3] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[7,6,2,1,3,4,5]=>[1,1,1,4] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5]=>[1,1,5] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[7,5,6,4,3,2,1]=>[1,2,1,1,1,1] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[7,5,6,4,3,1,2]=>[1,2,1,1,2] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[7,5,6,4,2,3,1]=>[1,2,1,2,1] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[7,5,6,4,2,1,3]=>[1,2,1,1,2] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[7,5,6,4,1,2,3]=>[1,2,1,3] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[7,5,6,3,4,2,1]=>[1,2,2,1,1] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[7,5,6,3,4,1,2]=>[1,2,2,2] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[7,5,6,3,2,4,1]=>[1,2,1,2,1] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[7,5,6,2,3,4,1]=>[1,2,3,1] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[7,5,6,3,2,1,4]=>[1,2,1,1,2] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[7,5,6,3,1,2,4]=>[1,2,1,3] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[7,5,6,2,3,1,4]=>[1,2,2,2] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[7,5,6,2,1,3,4]=>[1,2,1,3] [.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[7,5,6,1,2,3,4]=>[1,2,4] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[7,5,4,6,3,2,1]=>[1,1,2,1,1,1] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[7,5,4,6,3,1,2]=>[1,1,2,1,2] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[7,5,4,6,2,3,1]=>[1,1,2,2,1] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[7,5,4,6,2,1,3]=>[1,1,2,1,2] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[7,5,4,6,1,2,3]=>[1,1,2,3] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[7,4,5,6,3,2,1]=>[1,3,1,1,1] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[7,4,5,6,3,1,2]=>[1,3,1,2] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[7,4,5,6,2,3,1]=>[1,3,2,1] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[7,4,5,6,2,1,3]=>[1,3,1,2] [.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[7,4,5,6,1,2,3]=>[1,3,3] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[7,5,4,3,6,2,1]=>[1,1,1,2,1,1] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[7,5,4,3,6,1,2]=>[1,1,1,2,2] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[7,5,3,4,6,2,1]=>[1,1,3,1,1] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[7,5,3,4,6,1,2]=>[1,1,3,2] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[7,4,5,3,6,2,1]=>[1,2,2,1,1] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[7,4,5,3,6,1,2]=>[1,2,2,2] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[7,4,3,5,6,2,1]=>[1,1,3,1,1] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[7,4,3,5,6,1,2]=>[1,1,3,2] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[7,3,4,5,6,2,1]=>[1,4,1,1] [.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[7,3,4,5,6,1,2]=>[1,4,2] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[7,5,4,3,2,6,1]=>[1,1,1,1,2,1] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[7,5,4,2,3,6,1]=>[1,1,1,3,1] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[7,5,3,4,2,6,1]=>[1,1,2,2,1] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[7,5,3,2,4,6,1]=>[1,1,1,3,1] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[7,5,2,3,4,6,1]=>[1,1,4,1] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[7,4,5,3,2,6,1]=>[1,2,1,2,1] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[7,4,5,2,3,6,1]=>[1,2,3,1] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[7,4,3,5,2,6,1]=>[1,1,2,2,1] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[7,3,4,5,2,6,1]=>[1,3,2,1] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[7,4,3,2,5,6,1]=>[1,1,1,3,1] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[7,4,2,3,5,6,1]=>[1,1,4,1] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[7,3,4,2,5,6,1]=>[1,2,3,1] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[7,3,2,4,5,6,1]=>[1,1,4,1] [.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[7,2,3,4,5,6,1]=>[1,5,1] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6]=>[1,1,1,1,1,2] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[7,5,4,3,1,2,6]=>[1,1,1,1,3] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[7,5,4,2,3,1,6]=>[1,1,1,2,2] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[7,5,4,2,1,3,6]=>[1,1,1,1,3] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[7,5,4,1,2,3,6]=>[1,1,1,4] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[7,5,3,4,2,1,6]=>[1,1,2,1,2] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[7,5,3,4,1,2,6]=>[1,1,2,3] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[7,5,3,2,4,1,6]=>[1,1,1,2,2] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[7,5,2,3,4,1,6]=>[1,1,3,2] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[7,5,3,2,1,4,6]=>[1,1,1,1,3] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[7,5,3,1,2,4,6]=>[1,1,1,4] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[7,5,2,3,1,4,6]=>[1,1,2,3] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[7,5,2,1,3,4,6]=>[1,1,1,4] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[7,5,1,2,3,4,6]=>[1,1,5] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[7,4,5,3,2,1,6]=>[1,2,1,1,2] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[7,4,5,3,1,2,6]=>[1,2,1,3] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[7,4,5,2,3,1,6]=>[1,2,2,2] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[7,4,5,2,1,3,6]=>[1,2,1,3] [.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[7,4,5,1,2,3,6]=>[1,2,4] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[7,4,3,5,2,1,6]=>[1,1,2,1,2] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[7,4,3,5,1,2,6]=>[1,1,2,3] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[7,3,4,5,2,1,6]=>[1,3,1,2] [.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[7,3,4,5,1,2,6]=>[1,3,3] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[7,4,3,2,5,1,6]=>[1,1,1,2,2] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[7,4,2,3,5,1,6]=>[1,1,3,2] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[7,3,4,2,5,1,6]=>[1,2,2,2] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[7,3,2,4,5,1,6]=>[1,1,3,2] [.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[7,2,3,4,5,1,6]=>[1,4,2] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[7,4,3,2,1,5,6]=>[1,1,1,1,3] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[7,4,3,1,2,5,6]=>[1,1,1,4] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[7,4,2,3,1,5,6]=>[1,1,2,3] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[7,4,2,1,3,5,6]=>[1,1,1,4] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[7,4,1,2,3,5,6]=>[1,1,5] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[7,3,4,2,1,5,6]=>[1,2,1,3] [.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[7,3,4,1,2,5,6]=>[1,2,4] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[7,3,2,4,1,5,6]=>[1,1,2,3] [.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[7,2,3,4,1,5,6]=>[1,3,3] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[7,3,2,1,4,5,6]=>[1,1,1,4] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[7,3,1,2,4,5,6]=>[1,1,5] [.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[7,2,3,1,4,5,6]=>[1,2,4] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6]=>[1,1,5] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[1,6] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[6,7,5,4,3,2,1]=>[2,1,1,1,1,1] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[6,7,5,4,3,1,2]=>[2,1,1,1,2] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[6,7,5,4,2,3,1]=>[2,1,1,2,1] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[6,7,5,4,2,1,3]=>[2,1,1,1,2] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[6,7,5,4,1,2,3]=>[2,1,1,3] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[6,7,5,3,4,2,1]=>[2,1,2,1,1] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[6,7,5,3,4,1,2]=>[2,1,2,2] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[6,7,5,3,2,4,1]=>[2,1,1,2,1] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[6,7,5,2,3,4,1]=>[2,1,3,1] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[6,7,5,3,2,1,4]=>[2,1,1,1,2] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[6,7,5,3,1,2,4]=>[2,1,1,3] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[6,7,5,2,3,1,4]=>[2,1,2,2] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[6,7,5,2,1,3,4]=>[2,1,1,3] [[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[6,7,5,1,2,3,4]=>[2,1,4] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[6,7,4,5,3,2,1]=>[2,2,1,1,1] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[6,7,4,5,3,1,2]=>[2,2,1,2] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[6,7,4,5,2,3,1]=>[2,2,2,1] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[6,7,4,5,2,1,3]=>[2,2,1,2] [[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[6,7,4,5,1,2,3]=>[2,2,3] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[6,7,4,3,5,2,1]=>[2,1,2,1,1] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[6,7,4,3,5,1,2]=>[2,1,2,2] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[6,7,3,4,5,2,1]=>[2,3,1,1] [[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[6,7,3,4,5,1,2]=>[2,3,2] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[6,7,4,3,2,5,1]=>[2,1,1,2,1] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[6,7,4,2,3,5,1]=>[2,1,3,1] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[6,7,3,4,2,5,1]=>[2,2,2,1] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[6,7,3,2,4,5,1]=>[2,1,3,1] [[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[6,7,2,3,4,5,1]=>[2,4,1] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[6,7,4,3,2,1,5]=>[2,1,1,1,2] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[6,7,4,3,1,2,5]=>[2,1,1,3] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[6,7,4,2,3,1,5]=>[2,1,2,2] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[6,7,4,2,1,3,5]=>[2,1,1,3] [[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[6,7,4,1,2,3,5]=>[2,1,4] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[6,7,3,4,2,1,5]=>[2,2,1,2] [[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[6,7,3,4,1,2,5]=>[2,2,3] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[6,7,3,2,4,1,5]=>[2,1,2,2] [[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[6,7,2,3,4,1,5]=>[2,3,2] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[6,7,3,2,1,4,5]=>[2,1,1,3] [[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[6,7,3,1,2,4,5]=>[2,1,4] [[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[6,7,2,3,1,4,5]=>[2,2,3] [[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[6,7,2,1,3,4,5]=>[2,1,4] [[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[6,7,1,2,3,4,5]=>[2,5] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[6,5,7,4,3,2,1]=>[1,2,1,1,1,1] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[6,5,7,4,3,1,2]=>[1,2,1,1,2] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[6,5,7,4,2,3,1]=>[1,2,1,2,1] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[6,5,7,4,2,1,3]=>[1,2,1,1,2] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[6,5,7,4,1,2,3]=>[1,2,1,3] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[6,5,7,3,4,2,1]=>[1,2,2,1,1] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[6,5,7,3,4,1,2]=>[1,2,2,2] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[6,5,7,3,2,4,1]=>[1,2,1,2,1] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[6,5,7,2,3,4,1]=>[1,2,3,1] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[6,5,7,3,2,1,4]=>[1,2,1,1,2] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[6,5,7,3,1,2,4]=>[1,2,1,3] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[6,5,7,2,3,1,4]=>[1,2,2,2] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[6,5,7,2,1,3,4]=>[1,2,1,3] [[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[6,5,7,1,2,3,4]=>[1,2,4] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[5,6,7,4,3,2,1]=>[3,1,1,1,1] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[5,6,7,4,3,1,2]=>[3,1,1,2] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[5,6,7,4,2,3,1]=>[3,1,2,1] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[5,6,7,4,2,1,3]=>[3,1,1,2] [[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[5,6,7,4,1,2,3]=>[3,1,3] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[5,6,7,3,4,2,1]=>[3,2,1,1] [[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[5,6,7,3,4,1,2]=>[3,2,2] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[5,6,7,3,2,4,1]=>[3,1,2,1] [[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[5,6,7,2,3,4,1]=>[3,3,1] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[5,6,7,3,2,1,4]=>[3,1,1,2] [[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[5,6,7,3,1,2,4]=>[3,1,3] [[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[5,6,7,2,3,1,4]=>[3,2,2] [[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[5,6,7,2,1,3,4]=>[3,1,3] [[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[5,6,7,1,2,3,4]=>[3,4] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[6,5,4,7,3,2,1]=>[1,1,2,1,1,1] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[6,5,4,7,3,1,2]=>[1,1,2,1,2] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[6,5,4,7,2,3,1]=>[1,1,2,2,1] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[6,5,4,7,2,1,3]=>[1,1,2,1,2] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[6,5,4,7,1,2,3]=>[1,1,2,3] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[6,4,5,7,3,2,1]=>[1,3,1,1,1] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[6,4,5,7,3,1,2]=>[1,3,1,2] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[6,4,5,7,2,3,1]=>[1,3,2,1] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[6,4,5,7,2,1,3]=>[1,3,1,2] [[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[6,4,5,7,1,2,3]=>[1,3,3] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[5,6,4,7,3,2,1]=>[2,2,1,1,1] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[5,6,4,7,3,1,2]=>[2,2,1,2] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[5,6,4,7,2,3,1]=>[2,2,2,1] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[5,6,4,7,2,1,3]=>[2,2,1,2] [[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[5,6,4,7,1,2,3]=>[2,2,3] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[5,4,6,7,3,2,1]=>[1,3,1,1,1] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[5,4,6,7,3,1,2]=>[1,3,1,2] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[5,4,6,7,2,3,1]=>[1,3,2,1] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[5,4,6,7,2,1,3]=>[1,3,1,2] [[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[5,4,6,7,1,2,3]=>[1,3,3] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[4,5,6,7,3,2,1]=>[4,1,1,1] [[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[4,5,6,7,3,1,2]=>[4,1,2] [[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[4,5,6,7,2,3,1]=>[4,2,1] [[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[4,5,6,7,2,1,3]=>[4,1,2] [[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[4,5,6,7,1,2,3]=>[4,3] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[6,5,4,3,7,2,1]=>[1,1,1,2,1,1] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[6,5,4,3,7,1,2]=>[1,1,1,2,2] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[6,5,3,4,7,2,1]=>[1,1,3,1,1] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[6,5,3,4,7,1,2]=>[1,1,3,2] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[6,4,5,3,7,2,1]=>[1,2,2,1,1] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[6,4,5,3,7,1,2]=>[1,2,2,2] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[6,4,3,5,7,2,1]=>[1,1,3,1,1] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[6,4,3,5,7,1,2]=>[1,1,3,2] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[6,3,4,5,7,2,1]=>[1,4,1,1] [[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[6,3,4,5,7,1,2]=>[1,4,2] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[5,6,4,3,7,2,1]=>[2,1,2,1,1] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[5,6,4,3,7,1,2]=>[2,1,2,2] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[5,6,3,4,7,2,1]=>[2,3,1,1] [[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[5,6,3,4,7,1,2]=>[2,3,2] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[5,4,6,3,7,2,1]=>[1,2,2,1,1] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[5,4,6,3,7,1,2]=>[1,2,2,2] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[4,5,6,3,7,2,1]=>[3,2,1,1] [[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[4,5,6,3,7,1,2]=>[3,2,2] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[5,4,3,6,7,2,1]=>[1,1,3,1,1] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[5,4,3,6,7,1,2]=>[1,1,3,2] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[5,3,4,6,7,2,1]=>[1,4,1,1] [[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[5,3,4,6,7,1,2]=>[1,4,2] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[4,5,3,6,7,2,1]=>[2,3,1,1] [[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[4,5,3,6,7,1,2]=>[2,3,2] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[4,3,5,6,7,2,1]=>[1,4,1,1] [[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[4,3,5,6,7,1,2]=>[1,4,2] [[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[3,4,5,6,7,2,1]=>[5,1,1] [[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[3,4,5,6,7,1,2]=>[5,2] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[6,5,4,3,2,7,1]=>[1,1,1,1,2,1] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[6,5,4,2,3,7,1]=>[1,1,1,3,1] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[6,5,3,4,2,7,1]=>[1,1,2,2,1] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[6,5,3,2,4,7,1]=>[1,1,1,3,1] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[6,5,2,3,4,7,1]=>[1,1,4,1] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[6,4,5,3,2,7,1]=>[1,2,1,2,1] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[6,4,5,2,3,7,1]=>[1,2,3,1] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[6,4,3,5,2,7,1]=>[1,1,2,2,1] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[6,3,4,5,2,7,1]=>[1,3,2,1] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[6,4,3,2,5,7,1]=>[1,1,1,3,1] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[6,4,2,3,5,7,1]=>[1,1,4,1] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[6,3,4,2,5,7,1]=>[1,2,3,1] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[6,3,2,4,5,7,1]=>[1,1,4,1] [[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[6,2,3,4,5,7,1]=>[1,5,1] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[5,6,4,3,2,7,1]=>[2,1,1,2,1] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[5,6,4,2,3,7,1]=>[2,1,3,1] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[5,6,3,4,2,7,1]=>[2,2,2,1] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[5,6,3,2,4,7,1]=>[2,1,3,1] [[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[5,6,2,3,4,7,1]=>[2,4,1] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[5,4,6,3,2,7,1]=>[1,2,1,2,1] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[5,4,6,2,3,7,1]=>[1,2,3,1] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[4,5,6,3,2,7,1]=>[3,1,2,1] [[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[4,5,6,2,3,7,1]=>[3,3,1] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[5,4,3,6,2,7,1]=>[1,1,2,2,1] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[5,3,4,6,2,7,1]=>[1,3,2,1] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[4,5,3,6,2,7,1]=>[2,2,2,1] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[4,3,5,6,2,7,1]=>[1,3,2,1] [[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[3,4,5,6,2,7,1]=>[4,2,1] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[5,4,3,2,6,7,1]=>[1,1,1,3,1] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[5,4,2,3,6,7,1]=>[1,1,4,1] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[5,3,4,2,6,7,1]=>[1,2,3,1] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[5,3,2,4,6,7,1]=>[1,1,4,1] [[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[5,2,3,4,6,7,1]=>[1,5,1] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[4,5,3,2,6,7,1]=>[2,1,3,1] [[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[4,5,2,3,6,7,1]=>[2,4,1] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[4,3,5,2,6,7,1]=>[1,2,3,1] [[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[3,4,5,2,6,7,1]=>[3,3,1] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[4,3,2,5,6,7,1]=>[1,1,4,1] [[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[4,2,3,5,6,7,1]=>[1,5,1] [[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[3,4,2,5,6,7,1]=>[2,4,1] [[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[3,2,4,5,6,7,1]=>[1,5,1] [[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[2,3,4,5,6,7,1]=>[6,1] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,2] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[6,5,4,3,1,2,7]=>[1,1,1,1,3] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[6,5,4,2,3,1,7]=>[1,1,1,2,2] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[6,5,4,2,1,3,7]=>[1,1,1,1,3] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[6,5,4,1,2,3,7]=>[1,1,1,4] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[6,5,3,4,2,1,7]=>[1,1,2,1,2] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[6,5,3,4,1,2,7]=>[1,1,2,3] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[6,5,3,2,4,1,7]=>[1,1,1,2,2] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[6,5,2,3,4,1,7]=>[1,1,3,2] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[6,5,3,2,1,4,7]=>[1,1,1,1,3] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[6,5,3,1,2,4,7]=>[1,1,1,4] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[6,5,2,3,1,4,7]=>[1,1,2,3] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[6,5,2,1,3,4,7]=>[1,1,1,4] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[6,5,1,2,3,4,7]=>[1,1,5] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[6,4,5,3,2,1,7]=>[1,2,1,1,2] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[6,4,5,3,1,2,7]=>[1,2,1,3] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[6,4,5,2,3,1,7]=>[1,2,2,2] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[6,4,5,2,1,3,7]=>[1,2,1,3] [[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[6,4,5,1,2,3,7]=>[1,2,4] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[6,4,3,5,2,1,7]=>[1,1,2,1,2] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[6,4,3,5,1,2,7]=>[1,1,2,3] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[6,3,4,5,2,1,7]=>[1,3,1,2] [[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[6,3,4,5,1,2,7]=>[1,3,3] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[6,4,3,2,5,1,7]=>[1,1,1,2,2] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[6,4,2,3,5,1,7]=>[1,1,3,2] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[6,3,4,2,5,1,7]=>[1,2,2,2] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[6,3,2,4,5,1,7]=>[1,1,3,2] [[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[6,2,3,4,5,1,7]=>[1,4,2] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[6,4,3,2,1,5,7]=>[1,1,1,1,3] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[6,4,3,1,2,5,7]=>[1,1,1,4] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[6,4,2,3,1,5,7]=>[1,1,2,3] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[6,4,2,1,3,5,7]=>[1,1,1,4] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[6,4,1,2,3,5,7]=>[1,1,5] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[6,3,4,2,1,5,7]=>[1,2,1,3] [[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[6,3,4,1,2,5,7]=>[1,2,4] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[6,3,2,4,1,5,7]=>[1,1,2,3] [[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[6,2,3,4,1,5,7]=>[1,3,3] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[6,3,2,1,4,5,7]=>[1,1,1,4] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[6,3,1,2,4,5,7]=>[1,1,5] [[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[6,2,3,1,4,5,7]=>[1,2,4] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[6,2,1,3,4,5,7]=>[1,1,5] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>[1,6] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[5,6,4,3,2,1,7]=>[2,1,1,1,2] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[5,6,4,3,1,2,7]=>[2,1,1,3] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[5,6,4,2,3,1,7]=>[2,1,2,2] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[5,6,4,2,1,3,7]=>[2,1,1,3] [[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[5,6,4,1,2,3,7]=>[2,1,4] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[5,6,3,4,2,1,7]=>[2,2,1,2] [[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[5,6,3,4,1,2,7]=>[2,2,3] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[5,6,3,2,4,1,7]=>[2,1,2,2] [[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[5,6,2,3,4,1,7]=>[2,3,2] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[5,6,3,2,1,4,7]=>[2,1,1,3] [[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[5,6,3,1,2,4,7]=>[2,1,4] [[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[5,6,2,3,1,4,7]=>[2,2,3] [[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[5,6,2,1,3,4,7]=>[2,1,4] [[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[5,6,1,2,3,4,7]=>[2,5] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[5,4,6,3,2,1,7]=>[1,2,1,1,2] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[5,4,6,3,1,2,7]=>[1,2,1,3] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[5,4,6,2,3,1,7]=>[1,2,2,2] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[5,4,6,2,1,3,7]=>[1,2,1,3] [[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[5,4,6,1,2,3,7]=>[1,2,4] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[4,5,6,3,2,1,7]=>[3,1,1,2] [[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[4,5,6,3,1,2,7]=>[3,1,3] [[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[4,5,6,2,3,1,7]=>[3,2,2] [[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[4,5,6,2,1,3,7]=>[3,1,3] [[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[4,5,6,1,2,3,7]=>[3,4] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[5,4,3,6,2,1,7]=>[1,1,2,1,2] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[5,4,3,6,1,2,7]=>[1,1,2,3] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[5,3,4,6,2,1,7]=>[1,3,1,2] [[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[5,3,4,6,1,2,7]=>[1,3,3] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[4,5,3,6,2,1,7]=>[2,2,1,2] [[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[4,5,3,6,1,2,7]=>[2,2,3] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[4,3,5,6,2,1,7]=>[1,3,1,2] [[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[4,3,5,6,1,2,7]=>[1,3,3] [[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[3,4,5,6,2,1,7]=>[4,1,2] [[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[3,4,5,6,1,2,7]=>[4,3] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[5,4,3,2,6,1,7]=>[1,1,1,2,2] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[5,4,2,3,6,1,7]=>[1,1,3,2] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[5,3,4,2,6,1,7]=>[1,2,2,2] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[5,3,2,4,6,1,7]=>[1,1,3,2] [[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[5,2,3,4,6,1,7]=>[1,4,2] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[4,5,3,2,6,1,7]=>[2,1,2,2] [[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[4,5,2,3,6,1,7]=>[2,3,2] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[4,3,5,2,6,1,7]=>[1,2,2,2] [[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[3,4,5,2,6,1,7]=>[3,2,2] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[4,3,2,5,6,1,7]=>[1,1,3,2] [[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[4,2,3,5,6,1,7]=>[1,4,2] [[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[3,4,2,5,6,1,7]=>[2,3,2] [[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[3,2,4,5,6,1,7]=>[1,4,2] [[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[2,3,4,5,6,1,7]=>[5,2] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[1,1,1,1,3] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[5,4,3,1,2,6,7]=>[1,1,1,4] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[5,4,2,3,1,6,7]=>[1,1,2,3] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[5,4,2,1,3,6,7]=>[1,1,1,4] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[5,4,1,2,3,6,7]=>[1,1,5] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[5,3,4,2,1,6,7]=>[1,2,1,3] [[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[5,3,4,1,2,6,7]=>[1,2,4] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[5,3,2,4,1,6,7]=>[1,1,2,3] [[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[5,2,3,4,1,6,7]=>[1,3,3] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[5,3,2,1,4,6,7]=>[1,1,1,4] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[5,3,1,2,4,6,7]=>[1,1,5] [[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[5,2,3,1,4,6,7]=>[1,2,4] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7]=>[1,1,5] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>[1,6] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[4,5,3,2,1,6,7]=>[2,1,1,3] [[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[4,5,3,1,2,6,7]=>[2,1,4] [[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[4,5,2,3,1,6,7]=>[2,2,3] [[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[4,5,2,1,3,6,7]=>[2,1,4] [[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[4,5,1,2,3,6,7]=>[2,5] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[4,3,5,2,1,6,7]=>[1,2,1,3] [[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[4,3,5,1,2,6,7]=>[1,2,4] [[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[3,4,5,2,1,6,7]=>[3,1,3] [[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[3,4,5,1,2,6,7]=>[3,4] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[4,3,2,5,1,6,7]=>[1,1,2,3] [[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[4,2,3,5,1,6,7]=>[1,3,3] [[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[3,4,2,5,1,6,7]=>[2,2,3] [[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[3,2,4,5,1,6,7]=>[1,3,3] [[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[2,3,4,5,1,6,7]=>[4,3] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[1,1,1,4] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[4,3,1,2,5,6,7]=>[1,1,5] [[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[4,2,3,1,5,6,7]=>[1,2,4] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[4,2,1,3,5,6,7]=>[1,1,5] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>[1,6] [[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[3,4,2,1,5,6,7]=>[2,1,4] [[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[3,4,1,2,5,6,7]=>[2,5] [[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[3,2,4,1,5,6,7]=>[1,2,4] [[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[2,3,4,1,5,6,7]=>[3,4] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[1,1,5] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[1,6] [[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[2,3,1,4,5,6,7]=>[2,5] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[1,6] [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[7] [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1] [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,2] [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[8,6,7,5,4,3,2,1]=>[8,7,6,5,4,2,3,1]=>[1,1,1,1,1,2,1] [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,2] [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[8,7,6,5,4,1,2,3]=>[1,1,1,1,1,3] [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[8,7,5,6,4,3,2,1]=>[8,7,6,5,3,4,2,1]=>[1,1,1,1,2,1,1] [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[7,8,5,6,4,3,2,1]=>[8,7,6,5,3,4,1,2]=>[1,1,1,1,2,2] [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[8,6,5,7,4,3,2,1]=>[8,7,6,5,3,2,4,1]=>[1,1,1,1,1,2,1] [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[8,5,6,7,4,3,2,1]=>[8,7,6,5,2,3,4,1]=>[1,1,1,1,3,1] [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,2] [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[8,7,6,5,3,1,2,4]=>[1,1,1,1,1,3] [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[7,5,6,8,4,3,2,1]=>[8,7,6,5,2,3,1,4]=>[1,1,1,1,2,2] [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[8,7,6,5,2,1,3,4]=>[1,1,1,1,1,3] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[8,7,6,5,1,2,3,4]=>[1,1,1,1,4] [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[8,7,6,4,5,3,2,1]=>[8,7,6,4,5,3,2,1]=>[1,1,1,2,1,1,1] [.,[.,[.,[[.,.],[.,[[.,.],.]]]]]]=>[7,8,6,4,5,3,2,1]=>[8,7,6,4,5,3,1,2]=>[1,1,1,2,1,2] [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[8,6,7,4,5,3,2,1]=>[8,7,6,4,5,2,3,1]=>[1,1,1,2,2,1] [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[7,6,8,4,5,3,2,1]=>[8,7,6,4,5,2,1,3]=>[1,1,1,2,1,2] [.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[6,7,8,4,5,3,2,1]=>[8,7,6,4,5,1,2,3]=>[1,1,1,2,3] [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[8,7,5,4,6,3,2,1]=>[8,7,6,4,3,5,2,1]=>[1,1,1,1,2,1,1] [.,[.,[.,[[.,[.,.]],[[.,.],.]]]]]=>[7,8,5,4,6,3,2,1]=>[8,7,6,4,3,5,1,2]=>[1,1,1,1,2,2] [.,[.,[.,[[[.,.],.],[.,[.,.]]]]]]=>[8,7,4,5,6,3,2,1]=>[8,7,6,3,4,5,2,1]=>[1,1,1,3,1,1] [.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[7,8,4,5,6,3,2,1]=>[8,7,6,3,4,5,1,2]=>[1,1,1,3,2] [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[8,6,5,4,7,3,2,1]=>[8,7,6,4,3,2,5,1]=>[1,1,1,1,1,2,1] [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[8,5,6,4,7,3,2,1]=>[8,7,6,4,2,3,5,1]=>[1,1,1,1,3,1] [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[8,6,4,5,7,3,2,1]=>[8,7,6,3,4,2,5,1]=>[1,1,1,2,2,1] [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>[8,5,4,6,7,3,2,1]=>[8,7,6,3,2,4,5,1]=>[1,1,1,1,3,1] [.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[8,4,5,6,7,3,2,1]=>[8,7,6,2,3,4,5,1]=>[1,1,1,4,1] [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,2] [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[8,7,6,4,3,1,2,5]=>[1,1,1,1,1,3] [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[7,5,6,4,8,3,2,1]=>[8,7,6,4,2,3,1,5]=>[1,1,1,1,2,2] [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[8,7,6,4,2,1,3,5]=>[1,1,1,1,1,3] [.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[8,7,6,4,1,2,3,5]=>[1,1,1,1,4] [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[7,6,4,5,8,3,2,1]=>[8,7,6,3,4,2,1,5]=>[1,1,1,2,1,2] [.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[6,7,4,5,8,3,2,1]=>[8,7,6,3,4,1,2,5]=>[1,1,1,2,3] [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[7,5,4,6,8,3,2,1]=>[8,7,6,3,2,4,1,5]=>[1,1,1,1,2,2] [.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[7,4,5,6,8,3,2,1]=>[8,7,6,2,3,4,1,5]=>[1,1,1,3,2] [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[8,7,6,3,2,1,4,5]=>[1,1,1,1,1,3] [.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[8,7,6,3,1,2,4,5]=>[1,1,1,1,4] [.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[6,4,5,7,8,3,2,1]=>[8,7,6,2,3,1,4,5]=>[1,1,1,2,3] [.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[8,7,6,2,1,3,4,5]=>[1,1,1,1,4] [.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[8,7,6,1,2,3,4,5]=>[1,1,1,5] [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,3,4,2,1]=>[8,7,5,6,4,3,2,1]=>[1,1,2,1,1,1,1] [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,3,4,2,1]=>[8,7,5,6,4,3,1,2]=>[1,1,2,1,1,2] [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,3,4,2,1]=>[8,7,5,6,4,2,1,3]=>[1,1,2,1,1,2] [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[8,7,5,6,3,4,2,1]=>[1,1,2,2,1,1] [.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[7,8,5,6,3,4,2,1]=>[8,7,5,6,3,4,1,2]=>[1,1,2,2,2] [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[8,6,5,7,3,4,2,1]=>[8,7,5,6,3,2,4,1]=>[1,1,2,1,2,1] [.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[8,5,6,7,3,4,2,1]=>[8,7,5,6,2,3,4,1]=>[1,1,2,3,1] [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,3,4,2,1]=>[8,7,5,6,3,2,1,4]=>[1,1,2,1,1,2] [.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[6,7,5,8,3,4,2,1]=>[8,7,5,6,3,1,2,4]=>[1,1,2,1,3] [.,[.,[[.,.],[[[.,.],[.,.]],.]]]]=>[7,5,6,8,3,4,2,1]=>[8,7,5,6,2,3,1,4]=>[1,1,2,2,2] [.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>[6,5,7,8,3,4,2,1]=>[8,7,5,6,2,1,3,4]=>[1,1,2,1,3] [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[8,7,5,6,1,2,3,4]=>[1,1,2,4] [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[8,7,6,4,3,5,2,1]=>[8,7,5,4,6,3,2,1]=>[1,1,1,2,1,1,1] [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[7,8,6,4,3,5,2,1]=>[8,7,5,4,6,3,1,2]=>[1,1,1,2,1,2] [.,[.,[[.,[.,.]],[[.,.],[.,.]]]]]=>[8,6,7,4,3,5,2,1]=>[8,7,5,4,6,2,3,1]=>[1,1,1,2,2,1] [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[7,6,8,4,3,5,2,1]=>[8,7,5,4,6,2,1,3]=>[1,1,1,2,1,2] [.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[6,7,8,4,3,5,2,1]=>[8,7,5,4,6,1,2,3]=>[1,1,1,2,3] [.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[7,8,6,3,4,5,2,1]=>[8,7,4,5,6,3,1,2]=>[1,1,3,1,2] [.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[8,6,7,3,4,5,2,1]=>[8,7,4,5,6,2,3,1]=>[1,1,3,2,1] [.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[7,6,8,3,4,5,2,1]=>[8,7,4,5,6,2,1,3]=>[1,1,3,1,2] [.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[6,7,8,3,4,5,2,1]=>[8,7,4,5,6,1,2,3]=>[1,1,3,3] [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[8,7,5,4,3,6,2,1]=>[8,7,5,4,3,6,2,1]=>[1,1,1,1,2,1,1] [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[7,8,5,4,3,6,2,1]=>[8,7,5,4,3,6,1,2]=>[1,1,1,1,2,2] [.,[.,[[.,[[.,.],.]],[[.,.],.]]]]=>[7,8,4,5,3,6,2,1]=>[8,7,5,3,4,6,1,2]=>[1,1,1,3,2] [.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[7,8,5,3,4,6,2,1]=>[8,7,4,5,3,6,1,2]=>[1,1,2,2,2] [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[8,7,4,3,5,6,2,1]=>[8,7,4,3,5,6,2,1]=>[1,1,1,3,1,1] [.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[7,8,4,3,5,6,2,1]=>[8,7,4,3,5,6,1,2]=>[1,1,1,3,2] [.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[8,7,3,4,5,6,2,1]=>[8,7,3,4,5,6,2,1]=>[1,1,4,1,1] [.,[.,[[[[.,.],.],.],[[.,.],.]]]]=>[7,8,3,4,5,6,2,1]=>[8,7,3,4,5,6,1,2]=>[1,1,4,2] [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[8,6,5,4,3,7,2,1]=>[8,7,5,4,3,2,6,1]=>[1,1,1,1,1,2,1] [.,[.,[[.,[.,[[.,.],.]]],[.,.]]]]=>[8,5,6,4,3,7,2,1]=>[8,7,5,4,2,3,6,1]=>[1,1,1,1,3,1] [.,[.,[[.,[[.,.],[.,.]]],[.,.]]]]=>[8,6,4,5,3,7,2,1]=>[8,7,5,3,4,2,6,1]=>[1,1,1,2,2,1] [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[8,5,4,6,3,7,2,1]=>[8,7,5,3,2,4,6,1]=>[1,1,1,1,3,1] [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[8,5,4,3,6,7,2,1]=>[8,7,4,3,2,5,6,1]=>[1,1,1,1,3,1] [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,2] [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[6,7,5,4,3,8,2,1]=>[8,7,5,4,3,1,2,6]=>[1,1,1,1,1,3] [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[7,5,6,4,3,8,2,1]=>[8,7,5,4,2,3,1,6]=>[1,1,1,1,2,2] [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]=>[6,5,7,4,3,8,2,1]=>[8,7,5,4,2,1,3,6]=>[1,1,1,1,1,3] [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[7,6,4,5,3,8,2,1]=>[8,7,5,3,4,2,1,6]=>[1,1,1,2,1,2] [.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[6,7,4,5,3,8,2,1]=>[8,7,5,3,4,1,2,6]=>[1,1,1,2,3] [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[7,5,4,6,3,8,2,1]=>[8,7,5,3,2,4,1,6]=>[1,1,1,1,2,2] [.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[7,4,5,6,3,8,2,1]=>[8,7,5,2,3,4,1,6]=>[1,1,1,3,2] [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[6,5,4,7,3,8,2,1]=>[8,7,5,3,2,1,4,6]=>[1,1,1,1,1,3] [.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>[5,6,4,7,3,8,2,1]=>[8,7,5,3,1,2,4,6]=>[1,1,1,1,4] [.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[6,4,5,7,3,8,2,1]=>[8,7,5,2,3,1,4,6]=>[1,1,1,2,3] [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[8,7,5,2,1,3,4,6]=>[1,1,1,1,4] [.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[8,7,5,1,2,3,4,6]=>[1,1,1,5] [.,[.,[[[.,.],[.,[.,[.,.]]]],.]]]=>[7,6,5,3,4,8,2,1]=>[8,7,4,5,3,2,1,6]=>[1,1,2,1,1,2] [.,[.,[[[.,.],[[.,.],[.,.]]],.]]]=>[7,5,6,3,4,8,2,1]=>[8,7,4,5,2,3,1,6]=>[1,1,2,2,2] [.,[.,[[[.,.],[[[.,.],.],.]],.]]]=>[5,6,7,3,4,8,2,1]=>[8,7,4,5,1,2,3,6]=>[1,1,2,4] [.,[.,[[[.,[.,.]],[.,[.,.]]],.]]]=>[7,6,4,3,5,8,2,1]=>[8,7,4,3,5,2,1,6]=>[1,1,1,2,1,2] [.,[.,[[[.,[.,.]],[[.,.],.]],.]]]=>[6,7,4,3,5,8,2,1]=>[8,7,4,3,5,1,2,6]=>[1,1,1,2,3] [.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[7,6,3,4,5,8,2,1]=>[8,7,3,4,5,2,1,6]=>[1,1,3,1,2] [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[7,5,4,3,6,8,2,1]=>[8,7,4,3,2,5,1,6]=>[1,1,1,1,2,2] [.,[.,[[[.,[[.,.],.]],[.,.]],.]]]=>[7,4,5,3,6,8,2,1]=>[8,7,4,2,3,5,1,6]=>[1,1,1,3,2] [.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[7,5,3,4,6,8,2,1]=>[8,7,3,4,2,5,1,6]=>[1,1,2,2,2] [.,[.,[[[[.,[.,.]],.],[.,.]],.]]]=>[7,4,3,5,6,8,2,1]=>[8,7,3,2,4,5,1,6]=>[1,1,1,3,2] [.,[.,[[[[[.,.],.],.],[.,.]],.]]]=>[7,3,4,5,6,8,2,1]=>[8,7,2,3,4,5,1,6]=>[1,1,4,2] [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[8,7,4,3,2,1,5,6]=>[1,1,1,1,1,3] [.,[.,[[[.,[.,[[.,.],.]]],.],.]]]=>[5,6,4,3,7,8,2,1]=>[8,7,4,3,1,2,5,6]=>[1,1,1,1,4] [.,[.,[[[.,[[[.,.],.],.]],.],.]]]=>[4,5,6,3,7,8,2,1]=>[8,7,4,1,2,3,5,6]=>[1,1,1,5] [.,[.,[[[[.,.],[.,[.,.]]],.],.]]]=>[6,5,3,4,7,8,2,1]=>[8,7,3,4,2,1,5,6]=>[1,1,2,1,3] [.,[.,[[[[.,.],[[.,.],.]],.],.]]]=>[5,6,3,4,7,8,2,1]=>[8,7,3,4,1,2,5,6]=>[1,1,2,4] [.,[.,[[[[.,[.,.]],[.,.]],.],.]]]=>[6,4,3,5,7,8,2,1]=>[8,7,3,2,4,1,5,6]=>[1,1,1,2,3] [.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[6,3,4,5,7,8,2,1]=>[8,7,2,3,4,1,5,6]=>[1,1,3,3] [.,[.,[[[[.,[.,[.,.]]],.],.],.]]]=>[5,4,3,6,7,8,2,1]=>[8,7,3,2,1,4,5,6]=>[1,1,1,1,4] [.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[4,3,5,6,7,8,2,1]=>[8,7,2,1,3,4,5,6]=>[1,1,1,5] [.,[.,[[[[[[.,.],.],.],.],.],.]]]=>[3,4,5,6,7,8,2,1]=>[8,7,1,2,3,4,5,6]=>[1,1,6] [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,2,3,1]=>[8,6,7,5,4,3,2,1]=>[1,2,1,1,1,1,1] [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,2,3,1]=>[8,6,7,5,4,2,3,1]=>[1,2,1,1,2,1] [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,2,3,1]=>[8,6,7,5,4,2,1,3]=>[1,2,1,1,1,2] [.,[[.,.],[.,[[.,[.,.]],[.,.]]]]]=>[8,6,5,7,4,2,3,1]=>[8,6,7,5,3,2,4,1]=>[1,2,1,1,2,1] [.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[8,5,6,7,4,2,3,1]=>[8,6,7,5,2,3,4,1]=>[1,2,1,3,1] [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,2,3,1]=>[8,6,7,5,3,2,1,4]=>[1,2,1,1,1,2] [.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,2,3,1]=>[8,6,7,5,3,1,2,4]=>[1,2,1,1,3] [.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,2,3,1]=>[8,6,7,5,2,3,1,4]=>[1,2,1,2,2] [.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>[6,5,7,8,4,2,3,1]=>[8,6,7,5,2,1,3,4]=>[1,2,1,1,3] [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[8,6,7,5,1,2,3,4]=>[1,2,1,4] [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,2,3,1]=>[8,6,7,4,5,3,2,1]=>[1,2,2,1,1,1] [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[8,6,7,4,5,2,3,1]=>[1,2,2,2,1] [.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[7,6,8,4,5,2,3,1]=>[8,6,7,4,5,2,1,3]=>[1,2,2,1,2] [.,[[.,.],[[.,.],[[[.,.],.],.]]]]=>[6,7,8,4,5,2,3,1]=>[8,6,7,4,5,1,2,3]=>[1,2,2,3] [.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[8,7,4,5,6,2,3,1]=>[8,6,7,3,4,5,2,1]=>[1,2,3,1,1] [.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,2,3,1]=>[8,6,7,3,4,5,1,2]=>[1,2,3,2] [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[8,6,5,4,7,2,3,1]=>[8,6,7,4,3,2,5,1]=>[1,2,1,1,2,1] [.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,2,3,1]=>[8,6,7,4,2,3,5,1]=>[1,2,1,3,1] [.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,2,3,1]=>[8,6,7,3,4,2,5,1]=>[1,2,2,2,1] [.,[[.,.],[[[.,[.,.]],.],[.,.]]]]=>[8,5,4,6,7,2,3,1]=>[8,6,7,3,2,4,5,1]=>[1,2,1,3,1] [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,2,3,1]=>[8,6,7,4,3,2,1,5]=>[1,2,1,1,1,2] [.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[6,7,5,4,8,2,3,1]=>[8,6,7,4,3,1,2,5]=>[1,2,1,1,3] [.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,2,3,1]=>[8,6,7,4,2,3,1,5]=>[1,2,1,2,2] [.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,2,3,1]=>[8,6,7,4,2,1,3,5]=>[1,2,1,1,3] [.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>[5,6,7,4,8,2,3,1]=>[8,6,7,4,1,2,3,5]=>[1,2,1,4] [.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,2,3,1]=>[8,6,7,3,4,2,1,5]=>[1,2,2,1,2] [.,[[.,.],[[[.,[.,.]],[.,.]],.]]]=>[7,5,4,6,8,2,3,1]=>[8,6,7,3,2,4,1,5]=>[1,2,1,2,2] [.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>[6,5,4,7,8,2,3,1]=>[8,6,7,3,2,1,4,5]=>[1,2,1,1,3] [.,[[.,.],[[[.,[[.,.],.]],.],.]]]=>[5,6,4,7,8,2,3,1]=>[8,6,7,3,1,2,4,5]=>[1,2,1,4] [.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>[5,4,6,7,8,2,3,1]=>[8,6,7,2,1,3,4,5]=>[1,2,1,4] [.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,2,3,1]=>[8,6,7,1,2,3,4,5]=>[1,2,5] [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,2,4,1]=>[8,6,5,7,4,3,2,1]=>[1,1,2,1,1,1,1] [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,2,4,1]=>[8,6,5,7,4,3,1,2]=>[1,1,2,1,1,2] [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,2,4,1]=>[8,6,5,7,4,2,1,3]=>[1,1,2,1,1,2] [.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,2,4,1]=>[8,6,5,7,4,1,2,3]=>[1,1,2,1,3] [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,2,4,1]=>[8,6,5,7,3,4,2,1]=>[1,1,2,2,1,1] [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,2,4,1]=>[8,6,5,7,3,4,1,2]=>[1,1,2,2,2] [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[8,6,5,7,3,2,4,1]=>[1,1,2,1,2,1] [.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,2,4,1]=>[8,6,5,7,2,3,4,1]=>[1,1,2,3,1] [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,2,4,1]=>[8,6,5,7,3,2,1,4]=>[1,1,2,1,1,2] [.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,2,4,1]=>[8,6,5,7,3,1,2,4]=>[1,1,2,1,3] [.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,2,4,1]=>[8,6,5,7,2,3,1,4]=>[1,1,2,2,2] [.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,2,4,1]=>[8,6,5,7,2,1,3,4]=>[1,1,2,1,3] [.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[8,6,5,7,1,2,3,4]=>[1,1,2,4] [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,2,3,4,1]=>[8,5,6,7,4,3,2,1]=>[1,3,1,1,1,1] [.,[[[.,.],.],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,2,3,4,1]=>[8,5,6,7,4,3,1,2]=>[1,3,1,1,2] [.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,2,3,4,1]=>[8,5,6,7,4,2,3,1]=>[1,3,1,2,1] [.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,2,3,4,1]=>[8,5,6,7,4,2,1,3]=>[1,3,1,1,2] [.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,2,3,4,1]=>[8,5,6,7,4,1,2,3]=>[1,3,1,3] [.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,2,3,4,1]=>[8,5,6,7,3,4,2,1]=>[1,3,2,1,1] [.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,2,3,4,1]=>[8,5,6,7,3,4,1,2]=>[1,3,2,2] [.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,2,3,4,1]=>[8,5,6,7,3,2,4,1]=>[1,3,1,2,1] [.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[8,5,6,7,2,3,4,1]=>[1,3,3,1] [.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,2,3,4,1]=>[8,5,6,7,3,2,1,4]=>[1,3,1,1,2] [.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,2,3,4,1]=>[8,5,6,7,3,1,2,4]=>[1,3,1,3] [.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,2,3,4,1]=>[8,5,6,7,2,1,3,4]=>[1,3,1,3] [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[8,5,6,7,1,2,3,4]=>[1,3,4] [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,2,5,1]=>[8,6,5,4,7,3,2,1]=>[1,1,1,2,1,1,1] [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[8,6,7,4,3,2,5,1]=>[8,6,5,4,7,2,3,1]=>[1,1,1,2,2,1] [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[7,6,8,4,3,2,5,1]=>[8,6,5,4,7,2,1,3]=>[1,1,1,2,1,2] [.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[6,7,8,4,3,2,5,1]=>[8,6,5,4,7,1,2,3]=>[1,1,1,2,3] [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[8,7,6,3,4,2,5,1]=>[8,6,4,5,7,3,2,1]=>[1,1,3,1,1,1] [.,[[.,[[.,.],.]],[.,[[.,.],.]]]]=>[7,8,6,3,4,2,5,1]=>[8,6,4,5,7,3,1,2]=>[1,1,3,1,2] [.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[8,6,7,3,4,2,5,1]=>[8,6,4,5,7,2,3,1]=>[1,1,3,2,1] [.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[7,6,8,3,4,2,5,1]=>[8,6,4,5,7,2,1,3]=>[1,1,3,1,2] [.,[[.,[[.,.],.]],[[[.,.],.],.]]]=>[6,7,8,3,4,2,5,1]=>[8,6,4,5,7,1,2,3]=>[1,1,3,3] [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[8,7,6,4,2,3,5,1]=>[8,5,6,4,7,3,2,1]=>[1,2,2,1,1,1] [.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[7,8,6,4,2,3,5,1]=>[8,5,6,4,7,3,1,2]=>[1,2,2,1,2] [.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[8,6,7,4,2,3,5,1]=>[8,5,6,4,7,2,3,1]=>[1,2,2,2,1] [.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[6,7,8,4,2,3,5,1]=>[8,5,6,4,7,1,2,3]=>[1,2,2,3] [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[8,7,6,3,2,4,5,1]=>[8,5,4,6,7,3,2,1]=>[1,1,3,1,1,1] [.,[[[.,[.,.]],.],[.,[[.,.],.]]]]=>[7,8,6,3,2,4,5,1]=>[8,5,4,6,7,3,1,2]=>[1,1,3,1,2] [.,[[[.,[.,.]],.],[[.,[.,.]],.]]]=>[7,6,8,3,2,4,5,1]=>[8,5,4,6,7,2,1,3]=>[1,1,3,1,2] [.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[6,7,8,3,2,4,5,1]=>[8,5,4,6,7,1,2,3]=>[1,1,3,3] [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[8,7,6,2,3,4,5,1]=>[8,4,5,6,7,3,2,1]=>[1,4,1,1,1] [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[8,7,5,4,3,2,6,1]=>[8,6,5,4,3,7,2,1]=>[1,1,1,1,2,1,1] [.,[[.,[[.,[.,.]],.]],[[.,.],.]]]=>[7,8,4,3,5,2,6,1]=>[8,6,4,3,5,7,1,2]=>[1,1,1,3,2] [.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[7,8,4,5,2,3,6,1]=>[8,5,6,3,4,7,1,2]=>[1,2,3,2] [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[8,7,5,3,2,4,6,1]=>[8,5,4,6,3,7,2,1]=>[1,1,2,2,1,1] [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[8,7,4,3,2,5,6,1]=>[8,5,4,3,6,7,2,1]=>[1,1,1,3,1,1] [.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[7,8,4,3,2,5,6,1]=>[8,5,4,3,6,7,1,2]=>[1,1,1,3,2] [.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[7,8,3,4,2,5,6,1]=>[8,5,3,4,6,7,1,2]=>[1,1,4,2] [.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[7,8,3,2,4,5,6,1]=>[8,4,3,5,6,7,1,2]=>[1,1,4,2] [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[8,6,5,4,3,2,7,1]=>[8,6,5,4,3,2,7,1]=>[1,1,1,1,1,2,1] [.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[8,5,6,3,4,2,7,1]=>[8,6,4,5,2,3,7,1]=>[1,1,2,3,1] [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[8,6,4,3,5,2,7,1]=>[8,6,4,3,5,2,7,1]=>[1,1,1,2,2,1] [.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[8,6,3,4,5,2,7,1]=>[8,6,3,4,5,2,7,1]=>[1,1,3,2,1] [.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[8,4,5,3,6,2,7,1]=>[8,6,4,2,3,5,7,1]=>[1,1,1,4,1] [.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[8,5,6,4,2,3,7,1]=>[8,5,6,4,2,3,7,1]=>[1,2,1,3,1] [.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[8,6,4,5,2,3,7,1]=>[8,5,6,3,4,2,7,1]=>[1,2,2,2,1] [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[8,6,4,2,3,5,7,1]=>[8,4,5,3,6,2,7,1]=>[1,2,2,2,1] [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[8,5,4,3,2,6,7,1]=>[8,5,4,3,2,6,7,1]=>[1,1,1,1,3,1] [.,[[[.,[.,[[.,.],.]]],.],[.,.]]]=>[8,4,5,3,2,6,7,1]=>[8,5,4,2,3,6,7,1]=>[1,1,1,4,1] [.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[8,5,3,4,2,6,7,1]=>[8,5,3,4,2,6,7,1]=>[1,1,2,3,1] [.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>[8,3,4,5,2,6,7,1]=>[8,5,2,3,4,6,7,1]=>[1,1,5,1] [.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[8,4,5,2,3,6,7,1]=>[8,4,5,2,3,6,7,1]=>[1,2,4,1] [.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>[8,5,2,3,4,6,7,1]=>[8,3,4,5,2,6,7,1]=>[1,3,3,1] [.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>[8,4,3,2,5,6,7,1]=>[8,4,3,2,5,6,7,1]=>[1,1,1,4,1] [.,[[[[[.,.],[.,.]],.],.],[.,.]]]=>[8,4,2,3,5,6,7,1]=>[8,3,4,2,5,6,7,1]=>[1,2,4,1] [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>[8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,2] [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[6,7,5,4,3,2,8,1]=>[8,6,5,4,3,1,2,7]=>[1,1,1,1,1,3] [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>[8,6,5,4,2,1,3,7]=>[1,1,1,1,1,3] [.,[[.,[.,[.,[[[.,.],.],.]]]],.]]=>[5,6,7,4,3,2,8,1]=>[8,6,5,4,1,2,3,7]=>[1,1,1,1,4] [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[7,6,4,5,3,2,8,1]=>[8,6,5,3,4,2,1,7]=>[1,1,1,2,1,2] [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[7,5,4,6,3,2,8,1]=>[8,6,5,3,2,4,1,7]=>[1,1,1,1,2,2] [.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>[7,4,5,6,3,2,8,1]=>[8,6,5,2,3,4,1,7]=>[1,1,1,3,2] [.,[[.,[.,[[.,[.,[.,.]]],.]]],.]]=>[6,5,4,7,3,2,8,1]=>[8,6,5,3,2,1,4,7]=>[1,1,1,1,1,3] [.,[[.,[.,[[.,[[.,.],.]],.]]],.]]=>[5,6,4,7,3,2,8,1]=>[8,6,5,3,1,2,4,7]=>[1,1,1,1,4] [.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[6,4,5,7,3,2,8,1]=>[8,6,5,2,3,1,4,7]=>[1,1,1,2,3] [.,[[.,[.,[[[.,[.,.]],.],.]]],.]]=>[5,4,6,7,3,2,8,1]=>[8,6,5,2,1,3,4,7]=>[1,1,1,1,4] [.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[8,6,5,1,2,3,4,7]=>[1,1,1,5] [.,[[.,[[.,.],[.,[[.,.],.]]]],.]]=>[6,7,5,3,4,2,8,1]=>[8,6,4,5,3,1,2,7]=>[1,1,2,1,3] [.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[7,5,6,3,4,2,8,1]=>[8,6,4,5,2,3,1,7]=>[1,1,2,2,2] [.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[6,5,7,3,4,2,8,1]=>[8,6,4,5,2,1,3,7]=>[1,1,2,1,3] [.,[[.,[[.,[.,.]],[[.,.],.]]],.]]=>[6,7,4,3,5,2,8,1]=>[8,6,4,3,5,1,2,7]=>[1,1,1,2,3] [.,[[.,[[[.,.],.],[[.,.],.]]],.]]=>[6,7,3,4,5,2,8,1]=>[8,6,3,4,5,1,2,7]=>[1,1,3,3] [.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[7,4,5,3,6,2,8,1]=>[8,6,4,2,3,5,1,7]=>[1,1,1,3,2] [.,[[.,[[[.,[.,.]],.],[.,.]]],.]]=>[7,4,3,5,6,2,8,1]=>[8,6,3,2,4,5,1,7]=>[1,1,1,3,2] [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[8,6,4,3,2,1,5,7]=>[1,1,1,1,1,3] [.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[5,6,4,3,7,2,8,1]=>[8,6,4,3,1,2,5,7]=>[1,1,1,1,4] [.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[6,4,5,3,7,2,8,1]=>[8,6,4,2,3,1,5,7]=>[1,1,1,2,3] [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[8,6,4,2,1,3,5,7]=>[1,1,1,1,4] [.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[8,6,4,1,2,3,5,7]=>[1,1,1,5] [.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[6,5,3,4,7,2,8,1]=>[8,6,3,4,2,1,5,7]=>[1,1,2,1,3] [.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[5,6,3,4,7,2,8,1]=>[8,6,3,4,1,2,5,7]=>[1,1,2,4] [.,[[.,[[[.,[.,.]],[.,.]],.]],.]]=>[6,4,3,5,7,2,8,1]=>[8,6,3,2,4,1,5,7]=>[1,1,1,2,3] [.,[[.,[[[[.,.],.],[.,.]],.]],.]]=>[6,3,4,5,7,2,8,1]=>[8,6,2,3,4,1,5,7]=>[1,1,3,3] [.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[8,6,3,2,1,4,5,7]=>[1,1,1,1,4] [.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>[5,3,4,6,7,2,8,1]=>[8,6,2,3,1,4,5,7]=>[1,1,2,4] [.,[[.,[[[[[.,.],.],.],.],.]],.]]=>[3,4,5,6,7,2,8,1]=>[8,6,1,2,3,4,5,7]=>[1,1,6] [.,[[[.,.],[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,2,3,8,1]=>[8,5,6,4,3,2,1,7]=>[1,2,1,1,1,2] [.,[[[.,.],[.,[[.,.],[.,.]]]],.]]=>[7,5,6,4,2,3,8,1]=>[8,5,6,4,2,3,1,7]=>[1,2,1,2,2] [.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,2,3,8,1]=>[8,5,6,4,2,1,3,7]=>[1,2,1,1,3] [.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,2,3,8,1]=>[8,5,6,4,1,2,3,7]=>[1,2,1,4] [.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>[7,6,4,5,2,3,8,1]=>[8,5,6,3,4,2,1,7]=>[1,2,2,1,2] [.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,2,3,8,1]=>[8,5,6,3,4,1,2,7]=>[1,2,2,3] [.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,2,3,8,1]=>[8,5,6,2,3,4,1,7]=>[1,2,3,2] [.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,2,3,8,1]=>[8,5,6,3,2,1,4,7]=>[1,2,1,1,3] [.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,2,3,8,1]=>[8,5,6,3,1,2,4,7]=>[1,2,1,4] [.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,2,3,8,1]=>[8,5,6,2,3,1,4,7]=>[1,2,2,3] [.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,2,3,8,1]=>[8,5,6,2,1,3,4,7]=>[1,2,1,4] [.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[4,5,6,7,2,3,8,1]=>[8,5,6,1,2,3,4,7]=>[1,2,5] [.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[6,7,5,3,2,4,8,1]=>[8,5,4,6,3,1,2,7]=>[1,1,2,1,3] [.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[6,5,7,3,2,4,8,1]=>[8,5,4,6,2,1,3,7]=>[1,1,2,1,3] [.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[7,6,5,2,3,4,8,1]=>[8,4,5,6,3,2,1,7]=>[1,3,1,1,2] [.,[[[[.,.],.],[[.,.],[.,.]]],.]]=>[7,5,6,2,3,4,8,1]=>[8,4,5,6,2,3,1,7]=>[1,3,2,2] [.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[5,6,7,2,3,4,8,1]=>[8,4,5,6,1,2,3,7]=>[1,3,4] [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[7,6,4,3,2,5,8,1]=>[8,5,4,3,6,2,1,7]=>[1,1,1,2,1,2] [.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[7,6,4,2,3,5,8,1]=>[8,4,5,3,6,2,1,7]=>[1,2,2,1,2] [.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[6,7,4,2,3,5,8,1]=>[8,4,5,3,6,1,2,7]=>[1,2,2,3] [.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[6,7,3,2,4,5,8,1]=>[8,4,3,5,6,1,2,7]=>[1,1,3,3] [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[7,5,4,3,2,6,8,1]=>[8,5,4,3,2,6,1,7]=>[1,1,1,1,2,2] [.,[[[.,[.,[[.,.],.]]],[.,.]],.]]=>[7,4,5,3,2,6,8,1]=>[8,5,4,2,3,6,1,7]=>[1,1,1,3,2] [.,[[[.,[[[.,.],.],.]],[.,.]],.]]=>[7,3,4,5,2,6,8,1]=>[8,5,2,3,4,6,1,7]=>[1,1,4,2] [.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[7,5,4,2,3,6,8,1]=>[8,4,5,3,2,6,1,7]=>[1,2,1,2,2] [.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[7,5,3,2,4,6,8,1]=>[8,4,3,5,2,6,1,7]=>[1,1,2,2,2] [.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[7,5,2,3,4,6,8,1]=>[8,3,4,5,2,6,1,7]=>[1,3,2,2] [.,[[[[.,[[.,.],.]],.],[.,.]],.]]=>[7,3,4,2,5,6,8,1]=>[8,4,2,3,5,6,1,7]=>[1,1,4,2] [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[8,5,4,3,2,1,6,7]=>[1,1,1,1,1,3] [.,[[[.,[.,[[.,.],[.,.]]]],.],.]]=>[6,4,5,3,2,7,8,1]=>[8,5,4,2,3,1,6,7]=>[1,1,1,2,3] [.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[8,5,4,2,1,3,6,7]=>[1,1,1,1,4] [.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[5,6,3,4,2,7,8,1]=>[8,5,3,4,1,2,6,7]=>[1,1,2,4] [.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>[6,3,4,5,2,7,8,1]=>[8,5,2,3,4,1,6,7]=>[1,1,3,3] [.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[8,5,3,2,1,4,6,7]=>[1,1,1,1,4] [.,[[[.,[[.,[[.,.],.]],.]],.],.]]=>[4,5,3,6,2,7,8,1]=>[8,5,3,1,2,4,6,7]=>[1,1,1,5] [.,[[[.,[[[.,[.,.]],.],.]],.],.]]=>[4,3,5,6,2,7,8,1]=>[8,5,2,1,3,4,6,7]=>[1,1,1,5] [.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[8,5,1,2,3,4,6,7]=>[1,1,6] [.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[6,5,4,2,3,7,8,1]=>[8,4,5,3,2,1,6,7]=>[1,2,1,1,3] [.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>[6,4,5,2,3,7,8,1]=>[8,4,5,2,3,1,6,7]=>[1,2,2,3] [.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[5,4,6,2,3,7,8,1]=>[8,4,5,2,1,3,6,7]=>[1,2,1,4] [.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[4,5,6,2,3,7,8,1]=>[8,4,5,1,2,3,6,7]=>[1,2,5] [.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>[6,5,3,2,4,7,8,1]=>[8,4,3,5,2,1,6,7]=>[1,1,2,1,3] [.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[6,5,2,3,4,7,8,1]=>[8,3,4,5,2,1,6,7]=>[1,3,1,3] [.,[[[[.,[[.,.],.]],[.,.]],.],.]]=>[6,3,4,2,5,7,8,1]=>[8,4,2,3,5,1,6,7]=>[1,1,3,3] [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[8,4,3,2,1,5,6,7]=>[1,1,1,1,4] [.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>[4,5,3,2,6,7,8,1]=>[8,4,3,1,2,5,6,7]=>[1,1,1,5] [.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[5,3,4,2,6,7,8,1]=>[8,4,2,3,1,5,6,7]=>[1,1,2,4] [.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[8,4,2,1,3,5,6,7]=>[1,1,1,5] [.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[3,4,5,2,6,7,8,1]=>[8,4,1,2,3,5,6,7]=>[1,1,6] [.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[5,4,2,3,6,7,8,1]=>[8,3,4,2,1,5,6,7]=>[1,2,1,4] [.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[4,5,2,3,6,7,8,1]=>[8,3,4,1,2,5,6,7]=>[1,2,5] [.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[5,3,2,4,6,7,8,1]=>[8,3,2,4,1,5,6,7]=>[1,1,2,4] [.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[5,2,3,4,6,7,8,1]=>[8,2,3,4,1,5,6,7]=>[1,3,4] [.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[8,3,2,1,4,5,6,7]=>[1,1,1,5] [.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[8,3,1,2,4,5,6,7]=>[1,1,6] [.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[4,2,3,5,6,7,8,1]=>[8,2,3,1,4,5,6,7]=>[1,2,5] [.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[8,1,2,3,4,5,6,7]=>[1,7] [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[7,8,6,5,4,3,2,1]=>[2,1,1,1,1,1,1] [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,3,1,2]=>[7,8,6,5,4,3,1,2]=>[2,1,1,1,1,2] [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[6,7,8,5,4,3,1,2]=>[7,8,6,5,4,1,2,3]=>[2,1,1,1,3] [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,3,1,2]=>[7,8,6,5,3,4,2,1]=>[2,1,1,2,1,1] [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[7,8,5,6,4,3,1,2]=>[7,8,6,5,3,4,1,2]=>[2,1,1,2,2] [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[8,6,5,7,4,3,1,2]=>[7,8,6,5,3,2,4,1]=>[2,1,1,1,2,1] [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,3,1,2]=>[7,8,6,5,3,2,1,4]=>[2,1,1,1,1,2] [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,3,1,2]=>[7,8,6,5,3,1,2,4]=>[2,1,1,1,3] [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,3,1,2]=>[7,8,6,5,2,3,1,4]=>[2,1,1,2,2] [[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[6,5,7,8,4,3,1,2]=>[7,8,6,5,2,1,3,4]=>[2,1,1,1,3] [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[7,8,6,5,1,2,3,4]=>[2,1,1,4] [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[7,8,6,4,5,3,1,2]=>[2,1,2,1,2] [[.,.],[.,[[.,.],[[.,[.,.]],.]]]]=>[7,6,8,4,5,3,1,2]=>[7,8,6,4,5,2,1,3]=>[2,1,2,1,2] [[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[6,7,8,4,5,3,1,2]=>[7,8,6,4,5,1,2,3]=>[2,1,2,3] [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,3,1,2]=>[7,8,6,4,3,5,2,1]=>[2,1,1,2,1,1] [[.,.],[.,[[.,[.,.]],[[.,.],.]]]]=>[7,8,5,4,6,3,1,2]=>[7,8,6,4,3,5,1,2]=>[2,1,1,2,2] [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[8,7,4,5,6,3,1,2]=>[7,8,6,3,4,5,2,1]=>[2,1,3,1,1] [[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,3,1,2]=>[7,8,6,3,4,5,1,2]=>[2,1,3,2] [[.,.],[.,[[.,[.,[.,.]]],[.,.]]]]=>[8,6,5,4,7,3,1,2]=>[7,8,6,4,3,2,5,1]=>[2,1,1,1,2,1] [[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,3,1,2]=>[7,8,6,4,2,3,5,1]=>[2,1,1,3,1] [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,3,1,2]=>[7,8,6,4,3,2,1,5]=>[2,1,1,1,1,2] [[.,.],[.,[[.,[.,[[.,.],.]]],.]]]=>[6,7,5,4,8,3,1,2]=>[7,8,6,4,3,1,2,5]=>[2,1,1,1,3] [[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,3,1,2]=>[7,8,6,4,2,3,1,5]=>[2,1,1,2,2] [[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,3,1,2]=>[7,8,6,4,2,1,3,5]=>[2,1,1,1,3] [[.,.],[.,[[.,[[[.,.],.],.]],.]]]=>[5,6,7,4,8,3,1,2]=>[7,8,6,4,1,2,3,5]=>[2,1,1,4] [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,3,1,2]=>[7,8,6,3,4,2,1,5]=>[2,1,2,1,2] [[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,3,1,2]=>[7,8,6,3,4,1,2,5]=>[2,1,2,3] [[.,.],[.,[[[.,[.,[.,.]]],.],.]]]=>[6,5,4,7,8,3,1,2]=>[7,8,6,3,2,1,4,5]=>[2,1,1,1,3] [[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[5,6,4,7,8,3,1,2]=>[7,8,6,3,1,2,4,5]=>[2,1,1,4] [[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>[6,4,5,7,8,3,1,2]=>[7,8,6,2,3,1,4,5]=>[2,1,2,3] [[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[5,4,6,7,8,3,1,2]=>[7,8,6,2,1,3,4,5]=>[2,1,1,4] [[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,3,1,2]=>[7,8,6,1,2,3,4,5]=>[2,1,5] [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,4,1,2]=>[7,8,5,6,4,3,2,1]=>[2,2,1,1,1,1] [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,4,1,2]=>[7,8,5,6,4,3,1,2]=>[2,2,1,1,2] [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,4,1,2]=>[7,8,5,6,4,2,1,3]=>[2,2,1,1,2] [[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,4,1,2]=>[7,8,5,6,4,1,2,3]=>[2,2,1,3] [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,4,1,2]=>[7,8,5,6,3,4,2,1]=>[2,2,2,1,1] [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[7,8,5,6,3,4,1,2]=>[2,2,2,2] [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,4,1,2]=>[7,8,5,6,3,2,4,1]=>[2,2,1,2,1] [[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,4,1,2]=>[7,8,5,6,2,3,4,1]=>[2,2,3,1] [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,4,1,2]=>[7,8,5,6,3,2,1,4]=>[2,2,1,1,2] [[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,4,1,2]=>[7,8,5,6,3,1,2,4]=>[2,2,1,3] [[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,4,1,2]=>[7,8,5,6,2,3,1,4]=>[2,2,2,2] [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[7,8,5,6,2,1,3,4]=>[2,2,1,3] [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[7,8,5,6,1,2,3,4]=>[2,2,4] [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[7,6,8,4,3,5,1,2]=>[7,8,5,4,6,2,1,3]=>[2,1,2,1,2] [[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[6,7,8,4,3,5,1,2]=>[7,8,5,4,6,1,2,3]=>[2,1,2,3] [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[8,7,6,3,4,5,1,2]=>[7,8,4,5,6,3,2,1]=>[2,3,1,1,1] [[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[7,8,6,3,4,5,1,2]=>[7,8,4,5,6,3,1,2]=>[2,3,1,2] [[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[8,6,7,3,4,5,1,2]=>[7,8,4,5,6,2,3,1]=>[2,3,2,1] [[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[7,6,8,3,4,5,1,2]=>[7,8,4,5,6,2,1,3]=>[2,3,1,2] [[.,.],[[[.,.],.],[[[.,.],.],.]]]=>[6,7,8,3,4,5,1,2]=>[7,8,4,5,6,1,2,3]=>[2,3,3] [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[8,7,5,4,3,6,1,2]=>[7,8,5,4,3,6,2,1]=>[2,1,1,2,1,1] [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[7,8,5,4,3,6,1,2]=>[7,8,5,4,3,6,1,2]=>[2,1,1,2,2] [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[8,7,4,5,3,6,1,2]=>[7,8,5,3,4,6,2,1]=>[2,1,3,1,1] [[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[7,8,4,5,3,6,1,2]=>[7,8,5,3,4,6,1,2]=>[2,1,3,2] [[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[7,8,5,3,4,6,1,2]=>[7,8,4,5,3,6,1,2]=>[2,2,2,2] [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[8,7,4,3,5,6,1,2]=>[7,8,4,3,5,6,2,1]=>[2,1,3,1,1] [[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[7,8,4,3,5,6,1,2]=>[2,1,3,2] [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>[7,8,3,4,5,6,1,2]=>[2,4,2] [[.,.],[[.,[.,[.,[.,.]]]],[.,.]]]=>[8,6,5,4,3,7,1,2]=>[7,8,5,4,3,2,6,1]=>[2,1,1,1,2,1] [[.,.],[[.,[[.,.],[.,.]]],[.,.]]]=>[8,6,4,5,3,7,1,2]=>[7,8,5,3,4,2,6,1]=>[2,1,2,2,1] [[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[8,5,6,3,4,7,1,2]=>[7,8,4,5,2,3,6,1]=>[2,2,3,1] [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[8,5,4,3,6,7,1,2]=>[7,8,4,3,2,5,6,1]=>[2,1,1,3,1] [[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[8,5,3,4,6,7,1,2]=>[7,8,3,4,2,5,6,1]=>[2,2,3,1] [[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[8,4,3,5,6,7,1,2]=>[7,8,3,2,4,5,6,1]=>[2,1,4,1] [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,3,8,1,2]=>[7,8,5,4,3,2,1,6]=>[2,1,1,1,1,2] [[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,3,8,1,2]=>[7,8,5,4,2,1,3,6]=>[2,1,1,1,3] [[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,3,8,1,2]=>[7,8,5,4,1,2,3,6]=>[2,1,1,4] [[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,3,8,1,2]=>[7,8,5,3,4,1,2,6]=>[2,1,2,3] [[.,.],[[.,[[.,[.,.]],[.,.]]],.]]=>[7,5,4,6,3,8,1,2]=>[7,8,5,3,2,4,1,6]=>[2,1,1,2,2] [[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,3,8,1,2]=>[7,8,5,2,3,4,1,6]=>[2,1,3,2] [[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,3,8,1,2]=>[7,8,5,3,2,1,4,6]=>[2,1,1,1,3] [[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,3,8,1,2]=>[7,8,5,3,1,2,4,6]=>[2,1,1,4] [[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,3,8,1,2]=>[7,8,5,2,3,1,4,6]=>[2,1,2,3] [[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,3,8,1,2]=>[7,8,5,2,1,3,4,6]=>[2,1,1,4] [[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[4,5,6,7,3,8,1,2]=>[7,8,5,1,2,3,4,6]=>[2,1,5] [[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[7,5,6,3,4,8,1,2]=>[7,8,4,5,2,3,1,6]=>[2,2,2,2] [[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>[6,5,7,3,4,8,1,2]=>[7,8,4,5,2,1,3,6]=>[2,2,1,3] [[.,.],[[[.,.],[[[.,.],.],.]],.]]=>[5,6,7,3,4,8,1,2]=>[7,8,4,5,1,2,3,6]=>[2,2,4] [[.,.],[[[.,[.,.]],[.,[.,.]]],.]]=>[7,6,4,3,5,8,1,2]=>[7,8,4,3,5,2,1,6]=>[2,1,2,1,2] [[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[7,6,3,4,5,8,1,2]=>[7,8,3,4,5,2,1,6]=>[2,3,1,2] [[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[7,5,4,3,6,8,1,2]=>[7,8,4,3,2,5,1,6]=>[2,1,1,2,2] [[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[7,5,3,4,6,8,1,2]=>[7,8,3,4,2,5,1,6]=>[2,2,2,2] [[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[6,5,4,3,7,8,1,2]=>[7,8,4,3,2,1,5,6]=>[2,1,1,1,3] [[.,.],[[[.,[.,[[.,.],.]]],.],.]]=>[5,6,4,3,7,8,1,2]=>[7,8,4,3,1,2,5,6]=>[2,1,1,4] [[.,.],[[[.,[[.,.],[.,.]]],.],.]]=>[6,4,5,3,7,8,1,2]=>[7,8,4,2,3,1,5,6]=>[2,1,2,3] [[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[5,4,6,3,7,8,1,2]=>[7,8,4,2,1,3,5,6]=>[2,1,1,4] [[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[4,5,6,3,7,8,1,2]=>[7,8,4,1,2,3,5,6]=>[2,1,5] [[.,.],[[[[.,.],[.,[.,.]]],.],.]]=>[6,5,3,4,7,8,1,2]=>[7,8,3,4,2,1,5,6]=>[2,2,1,3] [[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[5,6,3,4,7,8,1,2]=>[7,8,3,4,1,2,5,6]=>[2,2,4] [[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[6,4,3,5,7,8,1,2]=>[7,8,3,2,4,1,5,6]=>[2,1,2,3] [[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[6,3,4,5,7,8,1,2]=>[7,8,2,3,4,1,5,6]=>[2,3,3] [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[7,8,3,2,1,4,5,6]=>[2,1,1,4] [[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[4,5,3,6,7,8,1,2]=>[7,8,3,1,2,4,5,6]=>[2,1,5] [[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[5,3,4,6,7,8,1,2]=>[7,8,2,3,1,4,5,6]=>[2,2,4] [[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[4,3,5,6,7,8,1,2]=>[7,8,2,1,3,4,5,6]=>[2,1,5] [[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[7,8,1,2,3,4,5,6]=>[2,6] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[7,6,8,5,4,3,2,1]=>[1,2,1,1,1,1,1] [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[8,6,7,5,4,2,1,3]=>[7,6,8,5,4,2,3,1]=>[1,2,1,1,2,1] [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[7,6,8,5,4,2,1,3]=>[1,2,1,1,1,2] [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,2,1,3]=>[7,6,8,5,4,1,2,3]=>[1,2,1,1,3] [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,2,1,3]=>[7,6,8,5,3,4,2,1]=>[1,2,1,2,1,1] [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,2,1,3]=>[7,6,8,5,3,4,1,2]=>[1,2,1,2,2] [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[8,6,5,7,4,2,1,3]=>[7,6,8,5,3,2,4,1]=>[1,2,1,1,2,1] [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,2,1,3]=>[7,6,8,5,2,3,4,1]=>[1,2,1,3,1] [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,2,1,3]=>[7,6,8,5,3,2,1,4]=>[1,2,1,1,1,2] [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,2,1,3]=>[7,6,8,5,2,3,1,4]=>[1,2,1,2,2] [[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,2,1,3]=>[7,6,8,5,2,1,3,4]=>[1,2,1,1,3] [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[7,6,8,5,1,2,3,4]=>[1,2,1,4] [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,2,1,3]=>[7,6,8,4,5,3,2,1]=>[1,2,2,1,1,1] [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,2,1,3]=>[7,6,8,4,5,2,3,1]=>[1,2,2,2,1] [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,2,1,3]=>[7,6,8,4,3,5,2,1]=>[1,2,1,2,1,1] [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[7,8,5,4,6,2,1,3]=>[7,6,8,4,3,5,1,2]=>[1,2,1,2,2] [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,2,1,3]=>[7,6,8,3,4,5,2,1]=>[1,2,3,1,1] [[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[7,8,4,5,6,2,1,3]=>[7,6,8,3,4,5,1,2]=>[1,2,3,2] [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,2,1,3]=>[7,6,8,4,3,2,5,1]=>[1,2,1,1,2,1] [[.,[.,.]],[[.,[[.,.],.]],[.,.]]]=>[8,5,6,4,7,2,1,3]=>[7,6,8,4,2,3,5,1]=>[1,2,1,3,1] [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,2,1,3]=>[7,6,8,3,4,2,5,1]=>[1,2,2,2,1] [[.,[.,.]],[[[[.,.],.],.],[.,.]]]=>[8,4,5,6,7,2,1,3]=>[7,6,8,2,3,4,5,1]=>[1,2,4,1] [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,2,1,3]=>[7,6,8,4,3,2,1,5]=>[1,2,1,1,1,2] [[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,2,1,3]=>[7,6,8,4,2,3,1,5]=>[1,2,1,2,2] [[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,2,1,3]=>[7,6,8,4,2,1,3,5]=>[1,2,1,1,3] [[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,2,1,3]=>[7,6,8,4,1,2,3,5]=>[1,2,1,4] [[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,2,1,3]=>[7,6,8,3,2,4,1,5]=>[1,2,1,2,2] [[.,[.,.]],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,2,1,3]=>[7,6,8,2,3,4,1,5]=>[1,2,3,2] [[.,[.,.]],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,2,1,3]=>[7,6,8,3,2,1,4,5]=>[1,2,1,1,3] [[.,[.,.]],[[[[.,.],[.,.]],.],.]]=>[6,4,5,7,8,2,1,3]=>[7,6,8,2,3,1,4,5]=>[1,2,2,3] [[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,2,1,3]=>[7,6,8,2,1,3,4,5]=>[1,2,1,4] [[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,2,1,3]=>[7,6,8,1,2,3,4,5]=>[1,2,5] [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,1,2,3]=>[6,7,8,5,4,3,2,1]=>[3,1,1,1,1,1] [[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[7,8,6,5,4,1,2,3]=>[6,7,8,5,4,3,1,2]=>[3,1,1,1,2] [[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,1,2,3]=>[6,7,8,5,4,2,1,3]=>[3,1,1,1,2] [[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[6,7,8,5,4,1,2,3]=>[3,1,1,3] [[[.,.],.],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,1,2,3]=>[6,7,8,5,3,4,2,1]=>[3,1,2,1,1] [[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,1,2,3]=>[6,7,8,5,3,4,1,2]=>[3,1,2,2] [[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[8,6,5,7,4,1,2,3]=>[6,7,8,5,3,2,4,1]=>[3,1,1,2,1] [[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,1,2,3]=>[6,7,8,5,2,3,4,1]=>[3,1,3,1] [[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,1,2,3]=>[6,7,8,5,3,2,1,4]=>[3,1,1,1,2] [[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,1,2,3]=>[6,7,8,5,2,3,1,4]=>[3,1,2,2] [[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,1,2,3]=>[6,7,8,5,2,1,3,4]=>[3,1,1,3] [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[6,7,8,5,1,2,3,4]=>[3,1,4] [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,1,2,3]=>[6,7,8,4,5,3,2,1]=>[3,2,1,1,1] [[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[7,8,6,4,5,1,2,3]=>[6,7,8,4,5,3,1,2]=>[3,2,1,2] [[[.,.],.],[[.,.],[[.,[.,.]],.]]]=>[7,6,8,4,5,1,2,3]=>[6,7,8,4,5,2,1,3]=>[3,2,1,2] [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,1,2,3]=>[6,7,8,4,3,5,2,1]=>[3,1,2,1,1] [[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[7,8,5,4,6,1,2,3]=>[6,7,8,4,3,5,1,2]=>[3,1,2,2] [[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,1,2,3]=>[6,7,8,3,4,5,2,1]=>[3,3,1,1] [[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,1,2,3]=>[6,7,8,4,3,2,5,1]=>[3,1,1,2,1] [[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[8,5,6,4,7,1,2,3]=>[6,7,8,4,2,3,5,1]=>[3,1,3,1] [[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[8,5,4,6,7,1,2,3]=>[6,7,8,3,2,4,5,1]=>[3,1,3,1] [[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,1,2,3]=>[6,7,8,4,3,2,1,5]=>[3,1,1,1,2] [[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,1,2,3]=>[6,7,8,4,3,1,2,5]=>[3,1,1,3] [[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,1,2,3]=>[6,7,8,4,2,3,1,5]=>[3,1,2,2] [[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,1,2,3]=>[6,7,8,4,2,1,3,5]=>[3,1,1,3] [[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,1,2,3]=>[6,7,8,4,1,2,3,5]=>[3,1,4] [[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,1,2,3]=>[6,7,8,3,4,2,1,5]=>[3,2,1,2] [[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,1,2,3]=>[6,7,8,3,4,1,2,5]=>[3,2,3] [[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,1,2,3]=>[6,7,8,3,2,4,1,5]=>[3,1,2,2] [[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,1,2,3]=>[6,7,8,2,3,4,1,5]=>[3,3,2] [[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[6,7,8,3,2,1,4,5]=>[3,1,1,3] [[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,1,2,3]=>[6,7,8,3,1,2,4,5]=>[3,1,4] [[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[6,4,5,7,8,1,2,3]=>[6,7,8,2,3,1,4,5]=>[3,2,3] [[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,1,2,3]=>[6,7,8,2,1,3,4,5]=>[3,1,4] [[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[6,7,8,1,2,3,4,5]=>[3,5] [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,2,1,4]=>[7,6,5,8,4,3,2,1]=>[1,1,2,1,1,1,1] [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,2,1,4]=>[7,6,5,8,4,3,1,2]=>[1,1,2,1,1,2] [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,2,1,4]=>[7,6,5,8,4,2,3,1]=>[1,1,2,1,2,1] [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,2,1,4]=>[7,6,5,8,4,2,1,3]=>[1,1,2,1,1,2] [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,2,1,4]=>[7,6,5,8,4,1,2,3]=>[1,1,2,1,3] [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,2,1,4]=>[7,6,5,8,3,4,2,1]=>[1,1,2,2,1,1] [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,2,1,4]=>[7,6,5,8,3,4,1,2]=>[1,1,2,2,2] [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,2,1,4]=>[7,6,5,8,3,2,4,1]=>[1,1,2,1,2,1] [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,2,1,4]=>[7,6,5,8,2,3,4,1]=>[1,1,2,3,1] [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[7,6,5,8,3,2,1,4]=>[1,1,2,1,1,2] [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,2,1,4]=>[7,6,5,8,3,1,2,4]=>[1,1,2,1,3] [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,2,1,4]=>[7,6,5,8,2,3,1,4]=>[1,1,2,2,2] [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,2,1,4]=>[7,6,5,8,2,1,3,4]=>[1,1,2,1,3] [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[7,6,5,8,1,2,3,4]=>[1,1,2,4] [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,3,1,4]=>[7,5,6,8,4,3,2,1]=>[1,3,1,1,1,1] [[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,3,1,4]=>[7,5,6,8,4,3,1,2]=>[1,3,1,1,2] [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,3,1,4]=>[7,5,6,8,4,2,3,1]=>[1,3,1,2,1] [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,3,1,4]=>[7,5,6,8,4,2,1,3]=>[1,3,1,1,2] [[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,3,1,4]=>[7,5,6,8,4,1,2,3]=>[1,3,1,3] [[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,3,1,4]=>[7,5,6,8,3,4,1,2]=>[1,3,2,2] [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,3,1,4]=>[7,5,6,8,3,2,4,1]=>[1,3,1,2,1] [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,3,1,4]=>[7,5,6,8,3,2,1,4]=>[1,3,1,1,2] [[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,3,1,4]=>[7,5,6,8,3,1,2,4]=>[1,3,1,3] [[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[7,5,6,8,2,3,1,4]=>[1,3,2,2] [[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,3,1,4]=>[7,5,6,8,2,1,3,4]=>[1,3,1,3] [[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[7,5,6,8,1,2,3,4]=>[1,3,4] [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,1,2,4]=>[6,7,5,8,4,3,2,1]=>[2,2,1,1,1,1] [[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,1,2,4]=>[6,7,5,8,4,3,1,2]=>[2,2,1,1,2] [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,1,2,4]=>[6,7,5,8,4,2,3,1]=>[2,2,1,2,1] [[[.,.],[.,.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,1,2,4]=>[6,7,5,8,4,2,1,3]=>[2,2,1,1,2] [[[.,.],[.,.]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,1,2,4]=>[6,7,5,8,4,1,2,3]=>[2,2,1,3] [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,1,2,4]=>[6,7,5,8,3,4,2,1]=>[2,2,2,1,1] [[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,1,2,4]=>[6,7,5,8,3,4,1,2]=>[2,2,2,2] [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,1,2,4]=>[6,7,5,8,3,2,4,1]=>[2,2,1,2,1] [[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,1,2,4]=>[6,7,5,8,2,3,4,1]=>[2,2,3,1] [[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,1,2,4]=>[6,7,5,8,3,2,1,4]=>[2,2,1,1,2] [[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[6,7,5,8,3,1,2,4]=>[2,2,1,3] [[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,1,2,4]=>[6,7,5,8,2,3,1,4]=>[2,2,2,2] [[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,1,2,4]=>[6,7,5,8,2,1,3,4]=>[2,2,1,3] [[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[6,7,5,8,1,2,3,4]=>[2,2,4] [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,1,3,4]=>[6,5,7,8,4,3,2,1]=>[1,3,1,1,1,1] [[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,1,3,4]=>[6,5,7,8,4,3,1,2]=>[1,3,1,1,2] [[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,1,3,4]=>[6,5,7,8,4,2,3,1]=>[1,3,1,2,1] [[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,1,3,4]=>[6,5,7,8,4,2,1,3]=>[1,3,1,1,2] [[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,1,3,4]=>[6,5,7,8,4,1,2,3]=>[1,3,1,3] [[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,1,3,4]=>[6,5,7,8,3,4,2,1]=>[1,3,2,1,1] [[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[6,5,7,8,3,4,1,2]=>[1,3,2,2] [[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,1,3,4]=>[6,5,7,8,3,2,4,1]=>[1,3,1,2,1] [[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,1,3,4]=>[6,5,7,8,2,3,4,1]=>[1,3,3,1] [[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,1,3,4]=>[6,5,7,8,3,2,1,4]=>[1,3,1,1,2] [[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,1,3,4]=>[6,5,7,8,3,1,2,4]=>[1,3,1,3] [[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,1,3,4]=>[6,5,7,8,2,3,1,4]=>[1,3,2,2] [[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[6,5,7,8,2,1,3,4]=>[1,3,1,3] [[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[6,5,7,8,1,2,3,4]=>[1,3,4] [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[5,6,7,8,4,3,2,1]=>[4,1,1,1,1] [[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[5,6,7,8,4,3,1,2]=>[4,1,1,2] [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[5,6,7,8,4,2,3,1]=>[4,1,2,1] [[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[5,6,7,8,4,2,1,3]=>[4,1,1,2] [[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[5,6,7,8,4,1,2,3]=>[4,1,3] [[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[5,6,7,8,3,4,2,1]=>[4,2,1,1] [[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[5,6,7,8,3,4,1,2]=>[4,2,2] [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[5,6,7,8,3,2,4,1]=>[4,1,2,1] [[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[5,6,7,8,2,3,4,1]=>[4,3,1] [[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[5,6,7,8,3,2,1,4]=>[4,1,1,2] [[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[5,6,7,8,3,1,2,4]=>[4,1,3] [[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[5,6,7,8,2,3,1,4]=>[4,2,2] [[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[5,6,7,8,2,1,3,4]=>[4,1,3] [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[5,6,7,8,1,2,3,4]=>[4,4] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[7,6,5,4,8,3,2,1]=>[1,1,1,2,1,1,1] [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[7,8,6,4,3,2,1,5]=>[7,6,5,4,8,3,1,2]=>[1,1,1,2,1,2] [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[8,6,7,4,3,2,1,5]=>[7,6,5,4,8,2,3,1]=>[1,1,1,2,2,1] [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[7,6,8,4,3,2,1,5]=>[7,6,5,4,8,2,1,3]=>[1,1,1,2,1,2] [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[6,7,8,4,3,2,1,5]=>[7,6,5,4,8,1,2,3]=>[1,1,1,2,3] [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[8,7,6,3,4,2,1,5]=>[7,6,4,5,8,3,2,1]=>[1,1,3,1,1,1] [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[7,8,6,3,4,2,1,5]=>[7,6,4,5,8,3,1,2]=>[1,1,3,1,2] [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[8,6,7,3,4,2,1,5]=>[7,6,4,5,8,2,3,1]=>[1,1,3,2,1] [[.,[.,[[.,.],.]]],[[.,[.,.]],.]]=>[7,6,8,3,4,2,1,5]=>[7,6,4,5,8,2,1,3]=>[1,1,3,1,2] [[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[6,7,8,3,4,2,1,5]=>[7,6,4,5,8,1,2,3]=>[1,1,3,3] [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,2,3,1,5]=>[7,5,6,4,8,3,2,1]=>[1,2,2,1,1,1] [[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[7,8,6,4,2,3,1,5]=>[7,5,6,4,8,3,1,2]=>[1,2,2,1,2] [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[8,6,7,4,2,3,1,5]=>[7,5,6,4,8,2,3,1]=>[1,2,2,2,1] [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,2,3,1,5]=>[7,5,6,4,8,2,1,3]=>[1,2,2,1,2] [[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,2,3,1,5]=>[7,5,6,4,8,1,2,3]=>[1,2,2,3] [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[8,7,6,3,2,4,1,5]=>[7,5,4,6,8,3,2,1]=>[1,1,3,1,1,1] [[.,[[.,[.,.]],.]],[.,[[.,.],.]]]=>[7,8,6,3,2,4,1,5]=>[7,5,4,6,8,3,1,2]=>[1,1,3,1,2] [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[7,6,8,3,2,4,1,5]=>[7,5,4,6,8,2,1,3]=>[1,1,3,1,2] [[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[6,7,8,3,2,4,1,5]=>[7,5,4,6,8,1,2,3]=>[1,1,3,3] [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[8,7,6,2,3,4,1,5]=>[7,4,5,6,8,3,2,1]=>[1,4,1,1,1] [[.,[[[.,.],.],.]],[.,[[.,.],.]]]=>[7,8,6,2,3,4,1,5]=>[7,4,5,6,8,3,1,2]=>[1,4,1,2] [[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[7,4,5,6,8,1,2,3]=>[1,4,3] [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,1,2,5]=>[6,7,5,4,8,3,2,1]=>[2,1,2,1,1,1] [[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[8,6,7,4,3,1,2,5]=>[6,7,5,4,8,2,3,1]=>[2,1,2,2,1] [[[.,.],[.,[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,3,1,2,5]=>[6,7,5,4,8,2,1,3]=>[2,1,2,1,2] [[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,3,1,2,5]=>[6,7,5,4,8,1,2,3]=>[2,1,2,3] [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[8,7,6,3,4,1,2,5]=>[6,7,4,5,8,3,2,1]=>[2,3,1,1,1] [[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[7,8,6,3,4,1,2,5]=>[6,7,4,5,8,3,1,2]=>[2,3,1,2] [[[.,.],[[.,.],.]],[[.,[.,.]],.]]=>[7,6,8,3,4,1,2,5]=>[6,7,4,5,8,2,1,3]=>[2,3,1,2] [[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[6,7,8,3,4,1,2,5]=>[6,7,4,5,8,1,2,3]=>[2,3,3] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[6,5,7,4,8,3,2,1]=>[1,2,2,1,1,1] [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,2,1,3,5]=>[6,5,7,4,8,3,1,2]=>[1,2,2,1,2] [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,2,1,3,5]=>[6,5,7,4,8,2,3,1]=>[1,2,2,2,1] [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,2,1,3,5]=>[6,5,7,4,8,2,1,3]=>[1,2,2,1,2] [[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,2,1,3,5]=>[6,5,7,4,8,1,2,3]=>[1,2,2,3] [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,1,2,3,5]=>[5,6,7,4,8,3,2,1]=>[3,2,1,1,1] [[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,1,2,3,5]=>[5,6,7,4,8,2,3,1]=>[3,2,2,1] [[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,1,2,3,5]=>[5,6,7,4,8,2,1,3]=>[3,2,1,2] [[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[5,6,7,4,8,1,2,3]=>[3,2,3] [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[8,7,6,3,2,1,4,5]=>[6,5,4,7,8,3,2,1]=>[1,1,3,1,1,1] [[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[8,6,7,3,2,1,4,5]=>[6,5,4,7,8,2,3,1]=>[1,1,3,2,1] [[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[6,7,8,3,2,1,4,5]=>[6,5,4,7,8,1,2,3]=>[1,1,3,3] [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[8,7,6,2,3,1,4,5]=>[6,4,5,7,8,3,2,1]=>[1,4,1,1,1] [[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[7,8,6,2,3,1,4,5]=>[6,4,5,7,8,3,1,2]=>[1,4,1,2] [[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[6,7,8,2,3,1,4,5]=>[6,4,5,7,8,1,2,3]=>[1,4,3] [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[8,7,6,3,1,2,4,5]=>[5,6,4,7,8,3,2,1]=>[2,3,1,1,1] [[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[7,8,6,3,1,2,4,5]=>[5,6,4,7,8,3,1,2]=>[2,3,1,2] [[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[6,7,8,3,1,2,4,5]=>[5,6,4,7,8,1,2,3]=>[2,3,3] [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[8,7,6,2,1,3,4,5]=>[5,4,6,7,8,3,2,1]=>[1,4,1,1,1] [[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[7,8,6,2,1,3,4,5]=>[5,4,6,7,8,3,1,2]=>[1,4,1,2] [[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[8,6,7,2,1,3,4,5]=>[5,4,6,7,8,2,3,1]=>[1,4,2,1] [[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[7,6,8,2,1,3,4,5]=>[5,4,6,7,8,2,1,3]=>[1,4,1,2] [[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[5,4,6,7,8,1,2,3]=>[1,4,3] [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[4,5,6,7,8,3,2,1]=>[5,1,1,1] [[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[4,5,6,7,8,3,1,2]=>[5,1,2] [[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[4,5,6,7,8,2,3,1]=>[5,2,1] [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[4,5,6,7,8,2,1,3]=>[5,1,2] [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[4,5,6,7,8,1,2,3]=>[5,3] [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[8,7,5,4,3,2,1,6]=>[7,6,5,4,3,8,2,1]=>[1,1,1,1,2,1,1] [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[7,8,5,4,3,2,1,6]=>[7,6,5,4,3,8,1,2]=>[1,1,1,1,2,2] [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[8,7,5,3,4,2,1,6]=>[7,6,4,5,3,8,2,1]=>[1,1,2,2,1,1] [[.,[.,[[.,.],[.,.]]]],[[.,.],.]]=>[7,8,5,3,4,2,1,6]=>[7,6,4,5,3,8,1,2]=>[1,1,2,2,2] [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[8,7,3,4,5,2,1,6]=>[7,6,3,4,5,8,2,1]=>[1,1,4,1,1] [[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[7,8,3,4,5,2,1,6]=>[7,6,3,4,5,8,1,2]=>[1,1,4,2] [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,2,3,1,6]=>[7,5,6,4,3,8,2,1]=>[1,2,1,2,1,1] [[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,2,3,1,6]=>[7,5,6,3,4,8,1,2]=>[1,2,3,2] [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[8,7,5,3,2,4,1,6]=>[7,5,4,6,3,8,2,1]=>[1,1,2,2,1,1] [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[8,7,5,2,3,4,1,6]=>[7,4,5,6,3,8,2,1]=>[1,3,2,1,1] [[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[7,8,5,2,3,4,1,6]=>[7,4,5,6,3,8,1,2]=>[1,3,2,2] [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[8,7,4,3,2,5,1,6]=>[7,5,4,3,6,8,2,1]=>[1,1,1,3,1,1] [[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[7,8,4,3,2,5,1,6]=>[7,5,4,3,6,8,1,2]=>[1,1,1,3,2] [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[8,7,3,4,2,5,1,6]=>[7,5,3,4,6,8,2,1]=>[1,1,4,1,1] [[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[7,8,3,4,2,5,1,6]=>[7,5,3,4,6,8,1,2]=>[1,1,4,2] [[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[7,8,2,3,4,5,1,6]=>[7,3,4,5,6,8,1,2]=>[1,5,2] [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,3,1,2,6]=>[6,7,5,4,3,8,2,1]=>[2,1,1,2,1,1] [[[.,.],[.,[[.,.],.]]],[.,[.,.]]]=>[8,7,4,5,3,1,2,6]=>[6,7,5,3,4,8,2,1]=>[2,1,3,1,1] [[[.,.],[.,[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,3,1,2,6]=>[6,7,5,3,4,8,1,2]=>[2,1,3,2] [[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[8,7,5,3,4,1,2,6]=>[6,7,4,5,3,8,2,1]=>[2,2,2,1,1] [[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[7,8,5,3,4,1,2,6]=>[6,7,4,5,3,8,1,2]=>[2,2,2,2] [[[.,.],[[.,[.,.]],.]],[[.,.],.]]=>[7,8,4,3,5,1,2,6]=>[6,7,4,3,5,8,1,2]=>[2,1,3,2] [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[8,7,5,4,2,1,3,6]=>[6,5,7,4,3,8,2,1]=>[1,2,1,2,1,1] [[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>[6,5,7,4,3,8,1,2]=>[1,2,1,2,2] [[[.,[.,.]],[[.,.],.]],[.,[.,.]]]=>[8,7,4,5,2,1,3,6]=>[6,5,7,3,4,8,2,1]=>[1,2,3,1,1] [[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[7,8,4,5,2,1,3,6]=>[6,5,7,3,4,8,1,2]=>[1,2,3,2] [[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,1,2,3,6]=>[5,6,7,4,3,8,1,2]=>[3,1,2,2] [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[8,7,5,3,2,1,4,6]=>[6,5,4,7,3,8,2,1]=>[1,1,2,2,1,1] [[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[7,8,5,3,2,1,4,6]=>[6,5,4,7,3,8,1,2]=>[1,1,2,2,2] [[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[8,7,5,2,3,1,4,6]=>[6,4,5,7,3,8,2,1]=>[1,3,2,1,1] [[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[7,8,5,2,3,1,4,6]=>[6,4,5,7,3,8,1,2]=>[1,3,2,2] [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[8,7,5,3,1,2,4,6]=>[5,6,4,7,3,8,2,1]=>[2,2,2,1,1] [[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[7,8,5,3,1,2,4,6]=>[5,6,4,7,3,8,1,2]=>[2,2,2,2] [[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[5,4,6,7,3,8,2,1]=>[1,3,2,1,1] [[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[5,4,6,7,3,8,1,2]=>[1,3,2,2] [[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[4,5,6,7,3,8,2,1]=>[4,2,1,1] [[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[4,5,6,7,3,8,1,2]=>[4,2,2] [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[8,7,4,3,2,1,5,6]=>[6,5,4,3,7,8,2,1]=>[1,1,1,3,1,1] [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[7,8,4,3,2,1,5,6]=>[6,5,4,3,7,8,1,2]=>[1,1,1,3,2] [[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[7,8,3,2,4,1,5,6]=>[6,4,3,5,7,8,1,2]=>[1,1,4,2] [[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[8,7,2,3,4,1,5,6]=>[6,3,4,5,7,8,2,1]=>[1,5,1,1] [[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[7,8,2,3,4,1,5,6]=>[6,3,4,5,7,8,1,2]=>[1,5,2] [[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[7,8,3,4,1,2,5,6]=>[5,6,3,4,7,8,1,2]=>[2,4,2] [[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[7,8,4,2,1,3,5,6]=>[5,4,6,3,7,8,1,2]=>[1,2,3,2] [[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[7,8,4,1,2,3,5,6]=>[4,5,6,3,7,8,1,2]=>[3,3,2] [[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[5,4,3,6,7,8,1,2]=>[1,1,4,2] [[[[.,[[.,.],.]],.],.],[.,[.,.]]]=>[8,7,2,3,1,4,5,6]=>[5,3,4,6,7,8,2,1]=>[1,5,1,1] [[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[7,8,2,3,1,4,5,6]=>[5,3,4,6,7,8,1,2]=>[1,5,2] [[[[[.,.],[.,.]],.],.],[.,[.,.]]]=>[8,7,3,1,2,4,5,6]=>[4,5,3,6,7,8,2,1]=>[2,4,1,1] [[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[7,8,3,1,2,4,5,6]=>[4,5,3,6,7,8,1,2]=>[2,4,2] [[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[8,7,2,1,3,4,5,6]=>[4,3,5,6,7,8,2,1]=>[1,5,1,1] [[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[7,8,2,1,3,4,5,6]=>[4,3,5,6,7,8,1,2]=>[1,5,2] [[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[3,4,5,6,7,8,1,2]=>[6,2] [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[8,6,5,4,3,2,1,7]=>[7,6,5,4,3,2,8,1]=>[1,1,1,1,1,2,1] [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[7,6,5,2,3,4,8,1]=>[1,1,1,4,1] [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[8,6,5,3,4,2,1,7]=>[7,6,4,5,3,2,8,1]=>[1,1,2,1,2,1] [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[8,5,6,3,4,2,1,7]=>[7,6,4,5,2,3,8,1]=>[1,1,2,3,1] [[.,[.,[[.,[.,.]],[.,.]]]],[.,.]]=>[8,6,4,3,5,2,1,7]=>[7,6,4,3,5,2,8,1]=>[1,1,1,2,2,1] [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[8,5,4,3,6,2,1,7]=>[7,6,4,3,2,5,8,1]=>[1,1,1,1,3,1] [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[8,4,5,3,6,2,1,7]=>[7,6,4,2,3,5,8,1]=>[1,1,1,4,1] [[.,[.,[[[.,.],[.,.]],.]]],[.,.]]=>[8,5,3,4,6,2,1,7]=>[7,6,3,4,2,5,8,1]=>[1,1,2,3,1] [[.,[.,[[[.,[.,.]],.],.]]],[.,.]]=>[8,4,3,5,6,2,1,7]=>[7,6,3,2,4,5,8,1]=>[1,1,1,4,1] [[.,[.,[[[[.,.],.],.],.]]],[.,.]]=>[8,3,4,5,6,2,1,7]=>[7,6,2,3,4,5,8,1]=>[1,1,5,1] [[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[8,5,6,4,2,3,1,7]=>[7,5,6,4,2,3,8,1]=>[1,2,1,3,1] [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,2,3,1,7]=>[7,5,6,3,4,2,8,1]=>[1,2,2,2,1] [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[8,6,5,3,2,4,1,7]=>[7,5,4,6,3,2,8,1]=>[1,1,2,1,2,1] [[.,[[.,[.,.]],[[.,.],.]]],[.,.]]=>[8,5,6,3,2,4,1,7]=>[7,5,4,6,2,3,8,1]=>[1,1,2,3,1] [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[8,6,5,2,3,4,1,7]=>[7,4,5,6,3,2,8,1]=>[1,3,1,2,1] [[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[8,5,6,2,3,4,1,7]=>[7,4,5,6,2,3,8,1]=>[1,3,3,1] [[.,[[.,[.,[.,.]]],[.,.]]],[.,.]]=>[8,6,4,3,2,5,1,7]=>[7,5,4,3,6,2,8,1]=>[1,1,1,2,2,1] [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[8,6,4,2,3,5,1,7]=>[7,4,5,3,6,2,8,1]=>[1,2,2,2,1] [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[8,5,4,3,2,6,1,7]=>[7,5,4,3,2,6,8,1]=>[1,1,1,1,3,1] [[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[8,4,5,3,2,6,1,7]=>[7,5,4,2,3,6,8,1]=>[1,1,1,4,1] [[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[8,4,3,5,2,6,1,7]=>[7,5,3,2,4,6,8,1]=>[1,1,1,4,1] [[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[8,3,4,5,2,6,1,7]=>[7,5,2,3,4,6,8,1]=>[1,1,5,1] [[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>[8,5,2,3,4,6,1,7]=>[7,3,4,5,2,6,8,1]=>[1,3,3,1] [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,3,1,2,7]=>[6,7,5,4,3,2,8,1]=>[2,1,1,1,2,1] [[[.,.],[.,[.,[[.,.],.]]]],[.,.]]=>[8,5,6,4,3,1,2,7]=>[6,7,5,4,2,3,8,1]=>[2,1,1,3,1] [[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>[8,5,4,6,3,1,2,7]=>[6,7,5,3,2,4,8,1]=>[2,1,1,3,1] [[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[6,7,4,5,2,3,8,1]=>[2,2,3,1] [[[.,.],[[.,[.,[.,.]]],.]],[.,.]]=>[8,5,4,3,6,1,2,7]=>[6,7,4,3,2,5,8,1]=>[2,1,1,3,1] [[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[8,4,5,3,6,1,2,7]=>[6,7,4,2,3,5,8,1]=>[2,1,4,1] [[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[8,4,3,5,6,1,2,7]=>[6,7,3,2,4,5,8,1]=>[2,1,4,1] [[[.,.],[[[[.,.],.],.],.]],[.,.]]=>[8,3,4,5,6,1,2,7]=>[6,7,2,3,4,5,8,1]=>[2,5,1] [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,2,1,3,7]=>[6,5,7,4,3,2,8,1]=>[1,2,1,1,2,1] [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,2,1,3,7]=>[6,5,7,4,2,3,8,1]=>[1,2,1,3,1] [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[8,6,4,5,2,1,3,7]=>[6,5,7,3,4,2,8,1]=>[1,2,2,2,1] [[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[8,5,4,6,2,1,3,7]=>[6,5,7,3,2,4,8,1]=>[1,2,1,3,1] [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,1,2,3,7]=>[5,6,7,4,3,2,8,1]=>[3,1,1,2,1] [[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,1,2,3,7]=>[5,6,7,4,2,3,8,1]=>[3,1,3,1] [[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[8,4,5,6,1,2,3,7]=>[5,6,7,2,3,4,8,1]=>[3,4,1] [[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[8,5,6,3,2,1,4,7]=>[6,5,4,7,2,3,8,1]=>[1,1,2,3,1] [[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[8,6,5,2,3,1,4,7]=>[6,4,5,7,3,2,8,1]=>[1,3,1,2,1] [[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[6,4,5,7,2,3,8,1]=>[1,3,3,1] [[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[8,6,5,3,1,2,4,7]=>[5,6,4,7,3,2,8,1]=>[2,2,1,2,1] [[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[8,5,6,3,1,2,4,7]=>[5,6,4,7,2,3,8,1]=>[2,2,3,1] [[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[8,6,5,2,1,3,4,7]=>[5,4,6,7,3,2,8,1]=>[1,3,1,2,1] [[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[8,5,6,2,1,3,4,7]=>[5,4,6,7,2,3,8,1]=>[1,3,3,1] [[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[8,6,5,1,2,3,4,7]=>[4,5,6,7,3,2,8,1]=>[4,1,2,1] [[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[8,5,6,1,2,3,4,7]=>[4,5,6,7,2,3,8,1]=>[4,3,1] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>[6,5,4,3,7,2,8,1]=>[1,1,1,2,2,1] [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[6,5,3,4,7,2,8,1]=>[1,1,3,2,1] [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[8,6,4,2,3,1,5,7]=>[6,4,5,3,7,2,8,1]=>[1,2,2,2,1] [[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[8,6,4,3,1,2,5,7]=>[5,6,4,3,7,2,8,1]=>[2,1,2,2,1] [[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[8,6,3,4,1,2,5,7]=>[5,6,3,4,7,2,8,1]=>[2,3,2,1] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[5,4,6,3,7,2,8,1]=>[1,2,2,2,1] [[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[8,6,4,1,2,3,5,7]=>[4,5,6,3,7,2,8,1]=>[3,2,2,1] [[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[8,6,3,2,1,4,5,7]=>[5,4,3,6,7,2,8,1]=>[1,1,3,2,1] [[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[8,6,2,3,1,4,5,7]=>[5,3,4,6,7,2,8,1]=>[1,4,2,1] [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[8,5,4,3,2,1,6,7]=>[6,5,4,3,2,7,8,1]=>[1,1,1,1,3,1] [[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[8,4,5,3,2,1,6,7]=>[6,5,4,2,3,7,8,1]=>[1,1,1,4,1] [[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[8,4,3,5,2,1,6,7]=>[6,5,3,2,4,7,8,1]=>[1,1,1,4,1] [[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[8,3,4,5,2,1,6,7]=>[6,5,2,3,4,7,8,1]=>[1,1,5,1] [[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[8,4,5,2,3,1,6,7]=>[6,4,5,2,3,7,8,1]=>[1,2,4,1] [[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[8,5,2,3,4,1,6,7]=>[6,3,4,5,2,7,8,1]=>[1,3,3,1] [[[.,[[.,[[.,.],.]],.]],.],[.,.]]=>[8,3,4,2,5,1,6,7]=>[6,4,2,3,5,7,8,1]=>[1,1,5,1] [[[[.,.],[.,[[.,.],.]]],.],[.,.]]=>[8,4,5,3,1,2,6,7]=>[5,6,4,2,3,7,8,1]=>[2,1,4,1] [[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[8,5,3,4,1,2,6,7]=>[5,6,3,4,2,7,8,1]=>[2,2,3,1] [[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[8,5,4,2,1,3,6,7]=>[5,4,6,3,2,7,8,1]=>[1,2,1,3,1] [[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[8,4,5,2,1,3,6,7]=>[5,4,6,2,3,7,8,1]=>[1,2,4,1] [[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[8,4,5,1,2,3,6,7]=>[4,5,6,2,3,7,8,1]=>[3,4,1] [[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[8,5,3,2,1,4,6,7]=>[5,4,3,6,2,7,8,1]=>[1,1,2,3,1] [[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[8,5,1,2,3,4,6,7]=>[3,4,5,6,2,7,8,1]=>[4,3,1] [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[8,4,3,2,1,5,6,7]=>[5,4,3,2,6,7,8,1]=>[1,1,1,4,1] [[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[8,3,4,2,1,5,6,7]=>[5,4,2,3,6,7,8,1]=>[1,1,5,1] [[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[8,4,2,3,1,5,6,7]=>[5,3,4,2,6,7,8,1]=>[1,2,4,1] [[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[8,3,2,4,1,5,6,7]=>[5,3,2,4,6,7,8,1]=>[1,1,5,1] [[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>[5,2,3,4,6,7,8,1]=>[1,6,1] [[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[8,4,3,1,2,5,6,7]=>[4,5,3,2,6,7,8,1]=>[2,1,4,1] [[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[8,3,4,1,2,5,6,7]=>[4,5,2,3,6,7,8,1]=>[2,5,1] [[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[8,4,2,1,3,5,6,7]=>[4,3,5,2,6,7,8,1]=>[1,2,4,1] [[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[8,4,1,2,3,5,6,7]=>[3,4,5,2,6,7,8,1]=>[3,4,1] [[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>[4,3,2,5,6,7,8,1]=>[1,1,5,1] [[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[8,2,3,1,4,5,6,7]=>[4,2,3,5,6,7,8,1]=>[1,6,1] [[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>[3,4,2,5,6,7,8,1]=>[2,5,1] [[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[8,2,1,3,4,5,6,7]=>[3,2,4,5,6,7,8,1]=>[1,6,1] [[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>[2,3,4,5,6,7,8,1]=>[7,1] [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,2] [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[7,5,6,4,3,2,1,8]=>[7,6,5,4,2,3,1,8]=>[1,1,1,1,2,2] [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[7,6,5,4,1,2,3,8]=>[1,1,1,1,4] [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>[7,6,5,3,4,2,1,8]=>[1,1,1,2,1,2] [[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>[6,7,4,5,3,2,1,8]=>[7,6,5,3,4,1,2,8]=>[1,1,1,2,3] [[.,[.,[.,[[.,[.,.]],[.,.]]]]],.]=>[7,5,4,6,3,2,1,8]=>[7,6,5,3,2,4,1,8]=>[1,1,1,1,2,2] [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[7,4,5,6,3,2,1,8]=>[7,6,5,2,3,4,1,8]=>[1,1,1,3,2] [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[7,6,5,3,2,1,4,8]=>[1,1,1,1,1,3] [[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[7,6,5,3,1,2,4,8]=>[1,1,1,1,4] [[.,[.,[.,[[[.,.],[.,.]],.]]]],.]=>[6,4,5,7,3,2,1,8]=>[7,6,5,2,3,1,4,8]=>[1,1,1,2,3] [[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>[5,4,6,7,3,2,1,8]=>[7,6,5,2,1,3,4,8]=>[1,1,1,1,4] [[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[7,6,5,1,2,3,4,8]=>[1,1,1,5] [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[7,6,5,3,4,2,1,8]=>[7,6,4,5,3,2,1,8]=>[1,1,2,1,1,2] [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[7,5,6,3,4,2,1,8]=>[7,6,4,5,2,3,1,8]=>[1,1,2,2,2] [[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[5,6,7,3,4,2,1,8]=>[7,6,4,5,1,2,3,8]=>[1,1,2,4] [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[7,6,4,3,5,2,1,8]=>[7,6,4,3,5,2,1,8]=>[1,1,1,2,1,2] [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[7,6,3,4,5,2,1,8]=>[7,6,3,4,5,2,1,8]=>[1,1,3,1,2] [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>[7,5,4,3,6,2,1,8]=>[7,6,4,3,2,5,1,8]=>[1,1,1,1,2,2] [[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[7,4,5,3,6,2,1,8]=>[7,6,4,2,3,5,1,8]=>[1,1,1,3,2] [[.,[.,[[[.,[.,.]],.],[.,.]]]],.]=>[7,4,3,5,6,2,1,8]=>[7,6,3,2,4,5,1,8]=>[1,1,1,3,2] [[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>[7,3,4,5,6,2,1,8]=>[7,6,2,3,4,5,1,8]=>[1,1,4,2] [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[7,6,4,3,2,1,5,8]=>[1,1,1,1,1,3] [[.,[.,[[.,[.,[[.,.],.]]],.]]],.]=>[5,6,4,3,7,2,1,8]=>[7,6,4,3,1,2,5,8]=>[1,1,1,1,4] [[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[7,6,4,2,1,3,5,8]=>[1,1,1,1,4] [[.,[.,[[.,[[[.,.],.],.]],.]]],.]=>[4,5,6,3,7,2,1,8]=>[7,6,4,1,2,3,5,8]=>[1,1,1,5] [[.,[.,[[[.,.],[[.,.],.]],.]]],.]=>[5,6,3,4,7,2,1,8]=>[7,6,3,4,1,2,5,8]=>[1,1,2,4] [[.,[.,[[[.,[.,.]],[.,.]],.]]],.]=>[6,4,3,5,7,2,1,8]=>[7,6,3,2,4,1,5,8]=>[1,1,1,2,3] [[.,[.,[[[[.,.],.],[.,.]],.]]],.]=>[6,3,4,5,7,2,1,8]=>[7,6,2,3,4,1,5,8]=>[1,1,3,3] [[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[7,6,3,2,1,4,5,8]=>[1,1,1,1,4] [[.,[.,[[[.,[[.,.],.]],.],.]]],.]=>[4,5,3,6,7,2,1,8]=>[7,6,3,1,2,4,5,8]=>[1,1,1,5] [[.,[.,[[[[.,.],[.,.]],.],.]]],.]=>[5,3,4,6,7,2,1,8]=>[7,6,2,3,1,4,5,8]=>[1,1,2,4] [[.,[.,[[[[[.,.],.],.],.],.]]],.]=>[3,4,5,6,7,2,1,8]=>[7,6,1,2,3,4,5,8]=>[1,1,6] [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[7,6,5,4,2,3,1,8]=>[7,5,6,4,3,2,1,8]=>[1,2,1,1,1,2] [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>[6,7,5,4,2,3,1,8]=>[7,5,6,4,3,1,2,8]=>[1,2,1,1,3] [[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,2,3,1,8]=>[7,5,6,4,2,3,1,8]=>[1,2,1,2,2] [[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,2,3,1,8]=>[7,5,6,4,1,2,3,8]=>[1,2,1,4] [[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,2,3,1,8]=>[7,5,6,3,4,2,1,8]=>[1,2,2,1,2] [[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[6,7,4,5,2,3,1,8]=>[7,5,6,3,4,1,2,8]=>[1,2,2,3] [[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,2,3,1,8]=>[7,5,6,2,3,4,1,8]=>[1,2,3,2] [[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>[6,5,4,7,2,3,1,8]=>[7,5,6,3,2,1,4,8]=>[1,2,1,1,3] [[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[5,6,4,7,2,3,1,8]=>[7,5,6,3,1,2,4,8]=>[1,2,1,4] [[.,[[.,.],[[[.,.],[.,.]],.]]],.]=>[6,4,5,7,2,3,1,8]=>[7,5,6,2,3,1,4,8]=>[1,2,2,3] [[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,2,3,1,8]=>[7,5,6,2,1,3,4,8]=>[1,2,1,4] [[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[6,5,7,3,2,4,1,8]=>[7,5,4,6,2,1,3,8]=>[1,1,2,1,3] [[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[5,6,7,3,2,4,1,8]=>[7,5,4,6,1,2,3,8]=>[1,1,2,4] [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[7,4,5,6,3,2,1,8]=>[1,3,1,1,2] [[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[6,7,5,2,3,4,1,8]=>[7,4,5,6,3,1,2,8]=>[1,3,1,3] [[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[7,5,6,2,3,4,1,8]=>[7,4,5,6,2,3,1,8]=>[1,3,2,2] [[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[6,5,7,2,3,4,1,8]=>[7,4,5,6,2,1,3,8]=>[1,3,1,3] [[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[5,6,7,2,3,4,1,8]=>[7,4,5,6,1,2,3,8]=>[1,3,4] [[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[6,7,4,3,2,5,1,8]=>[7,5,4,3,6,1,2,8]=>[1,1,1,2,3] [[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[6,7,3,4,2,5,1,8]=>[7,5,3,4,6,1,2,8]=>[1,1,3,3] [[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[7,6,4,2,3,5,1,8]=>[7,4,5,3,6,2,1,8]=>[1,2,2,1,2] [[.,[[[.,.],[.,.]],[[.,.],.]]],.]=>[6,7,4,2,3,5,1,8]=>[7,4,5,3,6,1,2,8]=>[1,2,2,3] [[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[7,6,2,3,4,5,1,8]=>[7,3,4,5,6,2,1,8]=>[1,4,1,2] [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[7,5,4,3,2,6,1,8]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,2,2] [[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[7,4,5,3,2,6,1,8]=>[7,5,4,2,3,6,1,8]=>[1,1,1,3,2] [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[7,5,3,4,2,6,1,8]=>[7,5,3,4,2,6,1,8]=>[1,1,2,2,2] [[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[7,4,3,5,2,6,1,8]=>[7,5,3,2,4,6,1,8]=>[1,1,1,3,2] [[.,[[.,[[[.,.],.],.]],[.,.]]],.]=>[7,3,4,5,2,6,1,8]=>[7,5,2,3,4,6,1,8]=>[1,1,4,2] [[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>[7,5,4,2,3,6,1,8]=>[7,4,5,3,2,6,1,8]=>[1,2,1,2,2] [[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>[7,4,5,2,3,6,1,8]=>[7,4,5,2,3,6,1,8]=>[1,2,3,2] [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[7,5,3,2,4,6,1,8]=>[7,4,3,5,2,6,1,8]=>[1,1,2,2,2] [[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>[7,5,2,3,4,6,1,8]=>[7,3,4,5,2,6,1,8]=>[1,3,2,2] [[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[7,4,3,2,5,6,1,8]=>[7,4,3,2,5,6,1,8]=>[1,1,1,3,2] [[.,[[[.,[[.,.],.]],.],[.,.]]],.]=>[7,3,4,2,5,6,1,8]=>[7,4,2,3,5,6,1,8]=>[1,1,4,2] [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>[6,5,4,3,2,7,1,8]=>[7,5,4,3,2,1,6,8]=>[1,1,1,1,1,3] [[.,[[.,[.,[[.,.],[.,.]]]],.]],.]=>[6,4,5,3,2,7,1,8]=>[7,5,4,2,3,1,6,8]=>[1,1,1,2,3] [[.,[[.,[.,[[[.,.],.],.]]],.]],.]=>[4,5,6,3,2,7,1,8]=>[7,5,4,1,2,3,6,8]=>[1,1,1,5] [[.,[[.,[[.,.],[.,[.,.]]]],.]],.]=>[6,5,3,4,2,7,1,8]=>[7,5,3,4,2,1,6,8]=>[1,1,2,1,3] [[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[5,6,3,4,2,7,1,8]=>[7,5,3,4,1,2,6,8]=>[1,1,2,4] [[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[6,4,3,5,2,7,1,8]=>[7,5,3,2,4,1,6,8]=>[1,1,1,2,3] [[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>[6,3,4,5,2,7,1,8]=>[7,5,2,3,4,1,6,8]=>[1,1,3,3] [[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[5,4,3,6,2,7,1,8]=>[7,5,3,2,1,4,6,8]=>[1,1,1,1,4] [[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[7,5,3,1,2,4,6,8]=>[1,1,1,5] [[.,[[.,[[[.,.],[.,.]],.]],.]],.]=>[5,3,4,6,2,7,1,8]=>[7,5,2,3,1,4,6,8]=>[1,1,2,4] [[.,[[.,[[[.,[.,.]],.],.]],.]],.]=>[4,3,5,6,2,7,1,8]=>[7,5,2,1,3,4,6,8]=>[1,1,1,5] [[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[7,5,1,2,3,4,6,8]=>[1,1,6] [[.,[[[.,.],[[[.,.],.],.]],.]],.]=>[4,5,6,2,3,7,1,8]=>[7,4,5,1,2,3,6,8]=>[1,2,5] [[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>[6,5,3,2,4,7,1,8]=>[7,4,3,5,2,1,6,8]=>[1,1,2,1,3] [[.,[[[[.,.],.],[.,[.,.]]],.]],.]=>[6,5,2,3,4,7,1,8]=>[7,3,4,5,2,1,6,8]=>[1,3,1,3] [[.,[[[[.,.],.],[[.,.],.]],.]],.]=>[5,6,2,3,4,7,1,8]=>[7,3,4,5,1,2,6,8]=>[1,3,4] [[.,[[[.,[[.,.],.]],[.,.]],.]],.]=>[6,3,4,2,5,7,1,8]=>[7,4,2,3,5,1,6,8]=>[1,1,3,3] [[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[6,2,3,4,5,7,1,8]=>[7,2,3,4,5,1,6,8]=>[1,4,3] [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[7,4,3,2,1,5,6,8]=>[1,1,1,1,4] [[.,[[[.,[.,[[.,.],.]]],.],.]],.]=>[4,5,3,2,6,7,1,8]=>[7,4,3,1,2,5,6,8]=>[1,1,1,5] [[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[5,3,4,2,6,7,1,8]=>[7,4,2,3,1,5,6,8]=>[1,1,2,4] [[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>[5,4,2,3,6,7,1,8]=>[7,3,4,2,1,5,6,8]=>[1,2,1,4] [[.,[[[[.,.],[[.,.],.]],.],.]],.]=>[4,5,2,3,6,7,1,8]=>[7,3,4,1,2,5,6,8]=>[1,2,5] [[.,[[[[.,[.,.]],[.,.]],.],.]],.]=>[5,3,2,4,6,7,1,8]=>[7,3,2,4,1,5,6,8]=>[1,1,2,4] [[.,[[[[[.,.],.],[.,.]],.],.]],.]=>[5,2,3,4,6,7,1,8]=>[7,2,3,4,1,5,6,8]=>[1,3,4] [[.,[[[[.,[[.,.],.]],.],.],.]],.]=>[3,4,2,5,6,7,1,8]=>[7,3,1,2,4,5,6,8]=>[1,1,6] [[.,[[[[[.,.],[.,.]],.],.],.]],.]=>[4,2,3,5,6,7,1,8]=>[7,2,3,1,4,5,6,8]=>[1,2,5] [[.,[[[[[[.,.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,1,8]=>[7,1,2,3,4,5,6,8]=>[1,7] [[[.,.],[.,[.,[.,[.,[.,.]]]]]],.]=>[7,6,5,4,3,1,2,8]=>[6,7,5,4,3,2,1,8]=>[2,1,1,1,1,2] [[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>[6,7,5,4,3,1,2,8]=>[6,7,5,4,3,1,2,8]=>[2,1,1,1,3] [[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,3,1,2,8]=>[6,7,5,4,2,3,1,8]=>[2,1,1,2,2] [[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,3,1,2,8]=>[6,7,5,4,1,2,3,8]=>[2,1,1,4] [[[.,.],[.,[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,3,1,2,8]=>[6,7,5,3,4,2,1,8]=>[2,1,2,1,2] [[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,3,1,2,8]=>[6,7,5,2,3,4,1,8]=>[2,1,3,2] [[[.,.],[.,[[.,[.,[.,.]]],.]]],.]=>[6,5,4,7,3,1,2,8]=>[6,7,5,3,2,1,4,8]=>[2,1,1,1,3] [[[.,.],[.,[[[.,.],[.,.]],.]]],.]=>[6,4,5,7,3,1,2,8]=>[6,7,5,2,3,1,4,8]=>[2,1,2,3] [[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[7,6,5,3,4,1,2,8]=>[6,7,4,5,3,2,1,8]=>[2,2,1,1,2] [[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[7,5,6,3,4,1,2,8]=>[6,7,4,5,2,3,1,8]=>[2,2,2,2] [[[.,.],[[.,.],[[.,[.,.]],.]]],.]=>[6,5,7,3,4,1,2,8]=>[6,7,4,5,2,1,3,8]=>[2,2,1,3] [[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>[7,5,4,3,6,1,2,8]=>[6,7,4,3,2,5,1,8]=>[2,1,1,2,2] [[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[7,5,3,4,6,1,2,8]=>[6,7,3,4,2,5,1,8]=>[2,2,2,2] [[[.,.],[[[.,[.,.]],.],[.,.]]],.]=>[7,4,3,5,6,1,2,8]=>[6,7,3,2,4,5,1,8]=>[2,1,3,2] [[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>[6,5,4,3,7,1,2,8]=>[6,7,4,3,2,1,5,8]=>[2,1,1,1,3] [[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>[5,6,4,3,7,1,2,8]=>[6,7,4,3,1,2,5,8]=>[2,1,1,4] [[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>[6,4,3,5,7,1,2,8]=>[6,7,3,2,4,1,5,8]=>[2,1,2,3] [[[.,.],[[[[.,.],.],[.,.]],.]],.]=>[6,3,4,5,7,1,2,8]=>[6,7,2,3,4,1,5,8]=>[2,3,3] [[[.,.],[[[.,[.,[.,.]]],.],.]],.]=>[5,4,3,6,7,1,2,8]=>[6,7,3,2,1,4,5,8]=>[2,1,1,4] [[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[4,5,3,6,7,1,2,8]=>[6,7,3,1,2,4,5,8]=>[2,1,5] [[[.,.],[[[[.,.],[.,.]],.],.]],.]=>[5,3,4,6,7,1,2,8]=>[6,7,2,3,1,4,5,8]=>[2,2,4] [[[.,.],[[[[[.,.],.],.],.],.]],.]=>[3,4,5,6,7,1,2,8]=>[6,7,1,2,3,4,5,8]=>[2,6] [[[.,[.,.]],[.,[.,[.,[.,.]]]]],.]=>[7,6,5,4,2,1,3,8]=>[6,5,7,4,3,2,1,8]=>[1,2,1,1,1,2] [[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,2,1,3,8]=>[6,5,7,4,1,2,3,8]=>[1,2,1,4] [[[.,[.,.]],[[.,.],[.,[.,.]]]],.]=>[7,6,4,5,2,1,3,8]=>[6,5,7,3,4,2,1,8]=>[1,2,2,1,2] [[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,2,1,3,8]=>[6,5,7,3,2,4,1,8]=>[1,2,1,2,2] [[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,2,1,3,8]=>[6,5,7,2,3,4,1,8]=>[1,2,3,2] [[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[4,5,6,7,2,1,3,8]=>[6,5,7,1,2,3,4,8]=>[1,2,5] [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[7,6,5,4,1,2,3,8]=>[5,6,7,4,3,2,1,8]=>[3,1,1,1,2] [[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>[6,7,5,4,1,2,3,8]=>[5,6,7,4,3,1,2,8]=>[3,1,1,3] [[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[7,5,6,4,1,2,3,8]=>[5,6,7,4,2,3,1,8]=>[3,1,2,2] [[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>[6,5,7,4,1,2,3,8]=>[5,6,7,4,2,1,3,8]=>[3,1,1,3] [[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,1,2,3,8]=>[5,6,7,4,1,2,3,8]=>[3,1,4] [[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,1,2,3,8]=>[5,6,7,3,2,4,1,8]=>[3,1,2,2] [[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,1,2,3,8]=>[5,6,7,2,3,4,1,8]=>[3,3,2] [[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>[6,5,4,7,1,2,3,8]=>[5,6,7,3,2,1,4,8]=>[3,1,1,3] [[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[6,4,5,7,1,2,3,8]=>[5,6,7,2,3,1,4,8]=>[3,2,3] [[[[.,.],.],[[[[.,.],.],.],.]],.]=>[4,5,6,7,1,2,3,8]=>[5,6,7,1,2,3,4,8]=>[3,5] [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[7,6,5,3,2,1,4,8]=>[6,5,4,7,3,2,1,8]=>[1,1,2,1,1,2] [[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[7,5,6,3,2,1,4,8]=>[6,5,4,7,2,3,1,8]=>[1,1,2,2,2] [[[.,[.,[.,.]]],[[.,[.,.]],.]],.]=>[6,5,7,3,2,1,4,8]=>[6,5,4,7,2,1,3,8]=>[1,1,2,1,3] [[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[5,6,7,3,2,1,4,8]=>[6,5,4,7,1,2,3,8]=>[1,1,2,4] [[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[5,6,7,2,3,1,4,8]=>[6,4,5,7,1,2,3,8]=>[1,3,4] [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[7,6,5,3,1,2,4,8]=>[5,6,4,7,3,2,1,8]=>[2,2,1,1,2] [[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[7,5,6,3,1,2,4,8]=>[5,6,4,7,2,3,1,8]=>[2,2,2,2] [[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[7,6,5,2,1,3,4,8]=>[5,4,6,7,3,2,1,8]=>[1,3,1,1,2] [[[[.,[.,.]],.],[.,[[.,.],.]]],.]=>[6,7,5,2,1,3,4,8]=>[5,4,6,7,3,1,2,8]=>[1,3,1,3] [[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>[7,5,6,2,1,3,4,8]=>[5,4,6,7,2,3,1,8]=>[1,3,2,2] [[[[.,[.,.]],.],[[.,[.,.]],.]],.]=>[6,5,7,2,1,3,4,8]=>[5,4,6,7,2,1,3,8]=>[1,3,1,3] [[[[.,[.,.]],.],[[[.,.],.],.]],.]=>[5,6,7,2,1,3,4,8]=>[5,4,6,7,1,2,3,8]=>[1,3,4] [[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[7,6,5,1,2,3,4,8]=>[4,5,6,7,3,2,1,8]=>[4,1,1,2] [[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[6,7,5,1,2,3,4,8]=>[4,5,6,7,3,1,2,8]=>[4,1,3] [[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[7,5,6,1,2,3,4,8]=>[4,5,6,7,2,3,1,8]=>[4,2,2] [[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[6,5,7,1,2,3,4,8]=>[4,5,6,7,2,1,3,8]=>[4,1,3] [[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>[4,5,6,7,1,2,3,8]=>[4,4] [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[7,6,4,3,2,1,5,8]=>[6,5,4,3,7,2,1,8]=>[1,1,1,2,1,2] [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[6,7,4,3,2,1,5,8]=>[6,5,4,3,7,1,2,8]=>[1,1,1,2,3] [[[.,[.,[[.,.],.]]],[[.,.],.]],.]=>[6,7,3,4,2,1,5,8]=>[6,5,3,4,7,1,2,8]=>[1,1,3,3] [[[.,[[.,.],[.,.]]],[.,[.,.]]],.]=>[7,6,4,2,3,1,5,8]=>[6,4,5,3,7,2,1,8]=>[1,2,2,1,2] [[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>[6,7,3,2,4,1,5,8]=>[6,4,3,5,7,1,2,8]=>[1,1,3,3] [[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[7,6,4,3,1,2,5,8]=>[5,6,4,3,7,2,1,8]=>[2,1,2,1,2] [[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[6,7,4,3,1,2,5,8]=>[5,6,4,3,7,1,2,8]=>[2,1,2,3] [[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>[7,6,3,4,1,2,5,8]=>[5,6,3,4,7,2,1,8]=>[2,3,1,2] [[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[6,7,3,4,1,2,5,8]=>[5,6,3,4,7,1,2,8]=>[2,3,3] [[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[7,6,4,2,1,3,5,8]=>[5,4,6,3,7,2,1,8]=>[1,2,2,1,2] [[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[7,6,4,1,2,3,5,8]=>[4,5,6,3,7,2,1,8]=>[3,2,1,2] [[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[7,6,3,2,1,4,5,8]=>[5,4,3,6,7,2,1,8]=>[1,1,3,1,2] [[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[6,7,3,1,2,4,5,8]=>[4,5,3,6,7,1,2,8]=>[2,3,3] [[[[[[.,.],.],.],.],[[.,.],.]],.]=>[6,7,1,2,3,4,5,8]=>[3,4,5,6,7,1,2,8]=>[5,3] [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[7,5,4,3,2,1,6,8]=>[6,5,4,3,2,7,1,8]=>[1,1,1,1,2,2] [[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>[7,4,3,5,2,1,6,8]=>[6,5,3,2,4,7,1,8]=>[1,1,1,3,2] [[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>[7,3,4,5,2,1,6,8]=>[6,5,2,3,4,7,1,8]=>[1,1,4,2] [[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[7,5,3,2,4,1,6,8]=>[6,4,3,5,2,7,1,8]=>[1,1,2,2,2] [[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[7,5,2,3,4,1,6,8]=>[6,3,4,5,2,7,1,8]=>[1,3,2,2] [[[.,[[.,[[.,.],.]],.]],[.,.]],.]=>[7,3,4,2,5,1,6,8]=>[6,4,2,3,5,7,1,8]=>[1,1,4,2] [[[.,[[[.,[.,.]],.],.]],[.,.]],.]=>[7,3,2,4,5,1,6,8]=>[6,3,2,4,5,7,1,8]=>[1,1,4,2] [[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[7,2,3,4,5,1,6,8]=>[6,2,3,4,5,7,1,8]=>[1,5,2] [[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[7,5,3,4,1,2,6,8]=>[5,6,3,4,2,7,1,8]=>[2,2,2,2] [[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[7,3,4,5,1,2,6,8]=>[5,6,2,3,4,7,1,8]=>[2,4,2] [[[[.,[.,.]],[[.,.],.]],[.,.]],.]=>[7,4,5,2,1,3,6,8]=>[5,4,6,2,3,7,1,8]=>[1,2,3,2] [[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[7,4,5,1,2,3,6,8]=>[4,5,6,2,3,7,1,8]=>[3,3,2] [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[7,5,3,2,1,4,6,8]=>[5,4,3,6,2,7,1,8]=>[1,1,2,2,2] [[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[7,5,3,1,2,4,6,8]=>[4,5,3,6,2,7,1,8]=>[2,2,2,2] [[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[7,5,1,2,3,4,6,8]=>[3,4,5,6,2,7,1,8]=>[4,2,2] [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[7,4,3,2,1,5,6,8]=>[5,4,3,2,6,7,1,8]=>[1,1,1,3,2] [[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>[7,3,4,2,1,5,6,8]=>[5,4,2,3,6,7,1,8]=>[1,1,4,2] [[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>[7,4,2,3,1,5,6,8]=>[5,3,4,2,6,7,1,8]=>[1,2,3,2] [[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>[7,3,2,4,1,5,6,8]=>[5,3,2,4,6,7,1,8]=>[1,1,4,2] [[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[7,2,3,4,1,5,6,8]=>[5,2,3,4,6,7,1,8]=>[1,5,2] [[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[7,4,3,1,2,5,6,8]=>[4,5,3,2,6,7,1,8]=>[2,1,3,2] [[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[7,3,4,1,2,5,6,8]=>[4,5,2,3,6,7,1,8]=>[2,4,2] [[[[[[.,.],.],[.,.]],.],[.,.]],.]=>[7,4,1,2,3,5,6,8]=>[3,4,5,2,6,7,1,8]=>[3,3,2] [[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[7,2,3,1,4,5,6,8]=>[4,2,3,5,6,7,1,8]=>[1,5,2] [[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[7,3,1,2,4,5,6,8]=>[3,4,2,5,6,7,1,8]=>[2,4,2] [[[[[[[.,.],.],.],.],.],[.,.]],.]=>[7,1,2,3,4,5,6,8]=>[2,3,4,5,6,7,1,8]=>[6,2] [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,3] [[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>[5,6,4,3,2,1,7,8]=>[6,5,4,3,1,2,7,8]=>[1,1,1,1,4] [[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[6,5,4,1,2,3,7,8]=>[1,1,1,5] [[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[6,5,3,4,2,1,7,8]=>[6,5,3,4,2,1,7,8]=>[1,1,2,1,3] [[[.,[.,[[.,.],[[.,.],.]]]],.],.]=>[5,6,3,4,2,1,7,8]=>[6,5,3,4,1,2,7,8]=>[1,1,2,4] [[[.,[.,[[[.,.],.],[.,.]]]],.],.]=>[6,3,4,5,2,1,7,8]=>[6,5,2,3,4,1,7,8]=>[1,1,3,3] [[[.,[.,[[[.,.],[.,.]],.]]],.],.]=>[5,3,4,6,2,1,7,8]=>[6,5,2,3,1,4,7,8]=>[1,1,2,4] [[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[6,5,1,2,3,4,7,8]=>[1,1,6] [[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>[6,4,5,2,3,1,7,8]=>[6,4,5,2,3,1,7,8]=>[1,2,2,3] [[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>[5,4,6,2,3,1,7,8]=>[6,4,5,2,1,3,7,8]=>[1,2,1,4] [[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>[5,6,3,2,4,1,7,8]=>[6,4,3,5,1,2,7,8]=>[1,1,2,4] [[[.,[[[.,.],.],[.,[.,.]]]],.],.]=>[6,5,2,3,4,1,7,8]=>[6,3,4,5,2,1,7,8]=>[1,3,1,3] [[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[6,4,3,2,5,1,7,8]=>[6,4,3,2,5,1,7,8]=>[1,1,1,2,3] [[[.,[[[.,[.,.]],.],[.,.]]],.],.]=>[6,3,2,4,5,1,7,8]=>[6,3,2,4,5,1,7,8]=>[1,1,3,3] [[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[6,4,3,2,1,5,7,8]=>[1,1,1,1,4] [[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[6,4,3,1,2,5,7,8]=>[1,1,1,5] [[[.,[[.,[[.,[.,.]],.]],.]],.],.]=>[4,3,5,2,6,1,7,8]=>[6,4,2,1,3,5,7,8]=>[1,1,1,5] [[[.,[[.,[[[.,.],.],.]],.]],.],.]=>[3,4,5,2,6,1,7,8]=>[6,4,1,2,3,5,7,8]=>[1,1,6] [[[.,[[[.,.],[.,[.,.]]],.]],.],.]=>[5,4,2,3,6,1,7,8]=>[6,3,4,2,1,5,7,8]=>[1,2,1,4] [[[.,[[[.,[.,.]],[.,.]],.]],.],.]=>[5,3,2,4,6,1,7,8]=>[6,3,2,4,1,5,7,8]=>[1,1,2,4] [[[.,[[[[.,.],.],[.,.]],.]],.],.]=>[5,2,3,4,6,1,7,8]=>[6,2,3,4,1,5,7,8]=>[1,3,4] [[[.,[[[.,[.,[.,.]]],.],.]],.],.]=>[4,3,2,5,6,1,7,8]=>[6,3,2,1,4,5,7,8]=>[1,1,1,5] [[[.,[[[.,[[.,.],.]],.],.]],.],.]=>[3,4,2,5,6,1,7,8]=>[6,3,1,2,4,5,7,8]=>[1,1,6] [[[.,[[[[[.,.],.],.],.],.]],.],.]=>[2,3,4,5,6,1,7,8]=>[6,1,2,3,4,5,7,8]=>[1,7] [[[[.,.],[.,[.,[.,[.,.]]]]],.],.]=>[6,5,4,3,1,2,7,8]=>[5,6,4,3,2,1,7,8]=>[2,1,1,1,3] [[[[.,.],[.,[.,[[.,.],.]]]],.],.]=>[5,6,4,3,1,2,7,8]=>[5,6,4,3,1,2,7,8]=>[2,1,1,4] [[[[.,.],[.,[[.,.],[.,.]]]],.],.]=>[6,4,5,3,1,2,7,8]=>[5,6,4,2,3,1,7,8]=>[2,1,2,3] [[[[.,.],[.,[[.,[.,.]],.]]],.],.]=>[5,4,6,3,1,2,7,8]=>[5,6,4,2,1,3,7,8]=>[2,1,1,4] [[[[.,.],[[.,.],[.,[.,.]]]],.],.]=>[6,5,3,4,1,2,7,8]=>[5,6,3,4,2,1,7,8]=>[2,2,1,3] [[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[5,6,3,4,1,2,7,8]=>[5,6,3,4,1,2,7,8]=>[2,2,4] [[[[.,.],[[.,[.,.]],[.,.]]],.],.]=>[6,4,3,5,1,2,7,8]=>[5,6,3,2,4,1,7,8]=>[2,1,2,3] [[[[.,.],[[.,[.,[.,.]]],.]],.],.]=>[5,4,3,6,1,2,7,8]=>[5,6,3,2,1,4,7,8]=>[2,1,1,4] [[[[.,.],[[[.,.],[.,.]],.]],.],.]=>[5,3,4,6,1,2,7,8]=>[5,6,2,3,1,4,7,8]=>[2,2,4] [[[[.,.],[[[[.,.],.],.],.]],.],.]=>[3,4,5,6,1,2,7,8]=>[5,6,1,2,3,4,7,8]=>[2,6] [[[[.,[.,.]],[[.,.],[.,.]]],.],.]=>[6,4,5,2,1,3,7,8]=>[5,4,6,2,3,1,7,8]=>[1,2,2,3] [[[[[.,.],.],[.,[.,[.,.]]]],.],.]=>[6,5,4,1,2,3,7,8]=>[4,5,6,3,2,1,7,8]=>[3,1,1,3] [[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[6,4,5,1,2,3,7,8]=>[4,5,6,2,3,1,7,8]=>[3,2,3] [[[[.,[.,[.,.]]],[.,[.,.]]],.],.]=>[6,5,3,2,1,4,7,8]=>[5,4,3,6,2,1,7,8]=>[1,1,2,1,3] [[[[.,[.,[.,.]]],[[.,.],.]],.],.]=>[5,6,3,2,1,4,7,8]=>[5,4,3,6,1,2,7,8]=>[1,1,2,4] [[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[5,6,2,3,1,4,7,8]=>[5,3,4,6,1,2,7,8]=>[1,3,4] [[[[[.,.],[.,.]],[.,[.,.]]],.],.]=>[6,5,3,1,2,4,7,8]=>[4,5,3,6,2,1,7,8]=>[2,2,1,3] [[[[[.,.],[.,.]],[[.,.],.]],.],.]=>[5,6,3,1,2,4,7,8]=>[4,5,3,6,1,2,7,8]=>[2,2,4] [[[[[.,[.,.]],.],[.,[.,.]]],.],.]=>[6,5,2,1,3,4,7,8]=>[4,3,5,6,2,1,7,8]=>[1,3,1,3] [[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[6,5,1,2,3,4,7,8]=>[3,4,5,6,2,1,7,8]=>[4,1,3] [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[6,4,3,2,1,5,7,8]=>[5,4,3,2,6,1,7,8]=>[1,1,1,2,3] [[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>[6,3,4,2,1,5,7,8]=>[5,4,2,3,6,1,7,8]=>[1,1,3,3] [[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[6,3,2,4,1,5,7,8]=>[5,3,2,4,6,1,7,8]=>[1,1,3,3] [[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[6,2,3,4,1,5,7,8]=>[5,2,3,4,6,1,7,8]=>[1,4,3] [[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[6,4,3,1,2,5,7,8]=>[4,5,3,2,6,1,7,8]=>[2,1,2,3] [[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[6,4,2,1,3,5,7,8]=>[4,3,5,2,6,1,7,8]=>[1,2,2,3] [[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[6,4,1,2,3,5,7,8]=>[3,4,5,2,6,1,7,8]=>[3,2,3] [[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[6,3,2,1,4,5,7,8]=>[4,3,2,5,6,1,7,8]=>[1,1,3,3] [[[[[[[.,.],.],.],.],[.,.]],.],.]=>[6,1,2,3,4,5,7,8]=>[2,3,4,5,6,1,7,8]=>[5,3] [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[1,1,1,1,4] [[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[5,4,3,1,2,6,7,8]=>[1,1,1,5] [[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[5,3,4,2,1,6,7,8]=>[5,4,2,3,1,6,7,8]=>[1,1,2,4] [[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[5,4,2,1,3,6,7,8]=>[1,1,1,5] [[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[5,4,1,2,3,6,7,8]=>[1,1,6] [[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[5,4,2,3,1,6,7,8]=>[5,3,4,2,1,6,7,8]=>[1,2,1,4] [[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[4,5,2,3,1,6,7,8]=>[5,3,4,1,2,6,7,8]=>[1,2,5] [[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[5,3,2,4,1,6,7,8]=>[5,3,2,4,1,6,7,8]=>[1,1,2,4] [[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[5,2,3,4,1,6,7,8]=>[5,2,3,4,1,6,7,8]=>[1,3,4] [[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[5,3,2,1,4,6,7,8]=>[1,1,1,5] [[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[5,3,1,2,4,6,7,8]=>[1,1,6] [[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[4,2,3,5,1,6,7,8]=>[5,2,3,1,4,6,7,8]=>[1,2,5] [[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[5,2,1,3,4,6,7,8]=>[1,1,6] [[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[5,1,2,3,4,6,7,8]=>[1,7] [[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[5,4,3,1,2,6,7,8]=>[4,5,3,2,1,6,7,8]=>[2,1,1,4] [[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[5,3,4,1,2,6,7,8]=>[4,5,2,3,1,6,7,8]=>[2,2,4] [[[[[.,.],[[[.,.],.],.]],.],.],.]=>[3,4,5,1,2,6,7,8]=>[4,5,1,2,3,6,7,8]=>[2,6] [[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[5,4,2,1,3,6,7,8]=>[4,3,5,2,1,6,7,8]=>[1,2,1,4] [[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[5,4,1,2,3,6,7,8]=>[3,4,5,2,1,6,7,8]=>[3,1,4] [[[[[[.,.],.],[[.,.],.]],.],.],.]=>[4,5,1,2,3,6,7,8]=>[3,4,5,1,2,6,7,8]=>[3,5] [[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[5,3,2,1,4,6,7,8]=>[4,3,2,5,1,6,7,8]=>[1,1,2,4] [[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[5,2,3,1,4,6,7,8]=>[4,2,3,5,1,6,7,8]=>[1,3,4] [[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[5,3,1,2,4,6,7,8]=>[3,4,2,5,1,6,7,8]=>[2,2,4] [[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[5,2,1,3,4,6,7,8]=>[3,2,4,5,1,6,7,8]=>[1,3,4] [[[[[[[.,.],.],.],[.,.]],.],.],.]=>[5,1,2,3,4,6,7,8]=>[2,3,4,5,1,6,7,8]=>[4,4] [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[1,1,1,5] [[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[4,3,1,2,5,6,7,8]=>[1,1,6] [[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[4,2,3,1,5,6,7,8]=>[4,2,3,1,5,6,7,8]=>[1,2,5] [[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[4,2,1,3,5,6,7,8]=>[1,1,6] [[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]=>[1,7] [[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[4,3,1,2,5,6,7,8]=>[3,4,2,1,5,6,7,8]=>[2,1,5] [[[[[[.,.],[[.,.],.]],.],.],.],.]=>[3,4,1,2,5,6,7,8]=>[3,4,1,2,5,6,7,8]=>[2,6] [[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[4,2,1,3,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[1,2,5] [[[[[[[.,.],.],[.,.]],.],.],.],.]=>[4,1,2,3,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[3,5] [[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[1,1,6] [[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[3,1,2,4,5,6,7,8]=>[1,7] [[[[[[[.,.],[.,.]],.],.],.],.],.]=>[3,1,2,4,5,6,7,8]=>[2,3,1,4,5,6,7,8]=>[2,6] [[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[1,7] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[8]
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
inverse
Description
Sends a permutation to its inverse.
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 $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.