Identifier
Mp00014: Binary trees to 132-avoiding permutationPermutations
Mp00071: Permutations descent compositionInteger compositions
Mp00040: Integer compositions to partition Integer partitions
Images
=>
Cc0010;cc-rep-0Cc0002;cc-rep-3
[.,.]=>[1]=>[1]=>[1] [.,[.,.]]=>[2,1]=>[1,1]=>[1,1] [[.,.],.]=>[1,2]=>[2]=>[2] [.,[.,[.,.]]]=>[3,2,1]=>[1,1,1]=>[1,1,1] [.,[[.,.],.]]=>[2,3,1]=>[2,1]=>[2,1] [[.,.],[.,.]]=>[3,1,2]=>[1,2]=>[2,1] [[.,[.,.]],.]=>[2,1,3]=>[1,2]=>[2,1] [[[.,.],.],.]=>[1,2,3]=>[3]=>[3] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[1,1,1,1]=>[1,1,1,1] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[2,1,1]=>[2,1,1] [.,[[.,.],[.,.]]]=>[4,2,3,1]=>[1,2,1]=>[2,1,1] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[1,2,1]=>[2,1,1] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[3,1]=>[3,1] [[.,.],[.,[.,.]]]=>[4,3,1,2]=>[1,1,2]=>[2,1,1] [[.,.],[[.,.],.]]=>[3,4,1,2]=>[2,2]=>[2,2] [[.,[.,.]],[.,.]]=>[4,2,1,3]=>[1,1,2]=>[2,1,1] [[[.,.],.],[.,.]]=>[4,1,2,3]=>[1,3]=>[3,1] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[1,1,2]=>[2,1,1] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[2,2]=>[2,2] [[[.,.],[.,.]],.]=>[3,1,2,4]=>[1,3]=>[3,1] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[1,3]=>[3,1] [[[[.,.],.],.],.]=>[1,2,3,4]=>[4]=>[4] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[1,1,1,1,1]=>[1,1,1,1,1] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[2,1,1,1]=>[2,1,1,1] [.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[1,2,1,1]=>[2,1,1,1] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[1,2,1,1]=>[2,1,1,1] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[3,1,1]=>[3,1,1] [.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[1,1,2,1]=>[2,1,1,1] [.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[2,2,1]=>[2,2,1] [.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[1,1,2,1]=>[2,1,1,1] [.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[1,3,1]=>[3,1,1] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[1,1,2,1]=>[2,1,1,1] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[2,2,1]=>[2,2,1] [.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[1,3,1]=>[3,1,1] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[1,3,1]=>[3,1,1] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[4,1]=>[4,1] [[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[1,1,1,2]=>[2,1,1,1] [[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[2,1,2]=>[2,2,1] [[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[1,2,2]=>[2,2,1] [[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[1,2,2]=>[2,2,1] [[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[3,2]=>[3,2] [[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[1,1,1,2]=>[2,1,1,1] [[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[2,1,2]=>[2,2,1] [[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[1,1,3]=>[3,1,1] [[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[2,3]=>[3,2] [[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[1,1,1,2]=>[2,1,1,1] [[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[1,2,2]=>[2,2,1] [[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[1,1,3]=>[3,1,1] [[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[1,1,3]=>[3,1,1] [[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[1,4]=>[4,1] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[1,1,1,2]=>[2,1,1,1] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[2,1,2]=>[2,2,1] [[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[1,2,2]=>[2,2,1] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[1,2,2]=>[2,2,1] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[3,2]=>[3,2] [[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[1,1,3]=>[3,1,1] [[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[2,3]=>[3,2] [[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[1,1,3]=>[3,1,1] [[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[1,4]=>[4,1] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[1,1,3]=>[3,1,1] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[2,3]=>[3,2] [[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[1,4]=>[4,1] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[1,4]=>[4,1] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[5]=>[5] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[1,1,1,1,1,1]=>[1,1,1,1,1,1] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[2,1,1,1,1]=>[2,1,1,1,1] [.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[1,2,1,1,1]=>[2,1,1,1,1] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[1,2,1,1,1]=>[2,1,1,1,1] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[3,1,1,1]=>[3,1,1,1] [.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[1,1,2,1,1]=>[2,1,1,1,1] [.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[2,2,1,1]=>[2,2,1,1] [.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[1,1,2,1,1]=>[2,1,1,1,1] [.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[1,3,1,1]=>[3,1,1,1] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[1,1,2,1,1]=>[2,1,1,1,1] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[2,2,1,1]=>[2,2,1,1] [.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[1,3,1,1]=>[3,1,1,1] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[1,3,1,1]=>[3,1,1,1] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[4,1,1]=>[4,1,1] [.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[1,1,1,2,1]=>[2,1,1,1,1] [.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[2,1,2,1]=>[2,2,1,1] [.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[1,2,2,1]=>[2,2,1,1] [.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[1,2,2,1]=>[2,2,1,1] [.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[3,2,1]=>[3,2,1] [.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[1,1,1,2,1]=>[2,1,1,1,1] [.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[2,1,2,1]=>[2,2,1,1] [.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[1,1,3,1]=>[3,1,1,1] [.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[2,3,1]=>[3,2,1] [.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[1,1,1,2,1]=>[2,1,1,1,1] [.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[1,2,2,1]=>[2,2,1,1] [.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[1,1,3,1]=>[3,1,1,1] [.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[1,1,3,1]=>[3,1,1,1] [.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[1,4,1]=>[4,1,1] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[1,1,1,2,1]=>[2,1,1,1,1] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[2,1,2,1]=>[2,2,1,1] [.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[1,2,2,1]=>[2,2,1,1] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[1,2,2,1]=>[2,2,1,1] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[3,2,1]=>[3,2,1] [.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[1,1,3,1]=>[3,1,1,1] [.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[2,3,1]=>[3,2,1] [.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[1,1,3,1]=>[3,1,1,1] [.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[1,4,1]=>[4,1,1] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[1,1,3,1]=>[3,1,1,1] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[2,3,1]=>[3,2,1] [.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[1,4,1]=>[4,1,1] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[1,4,1]=>[4,1,1] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[5,1]=>[5,1] [[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[1,1,1,1,2]=>[2,1,1,1,1] [[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[2,1,1,2]=>[2,2,1,1] [[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[1,2,1,2]=>[2,2,1,1] [[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[1,2,1,2]=>[2,2,1,1] [[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[3,1,2]=>[3,2,1] [[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[1,1,2,2]=>[2,2,1,1] [[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[2,2,2]=>[2,2,2] [[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[1,1,2,2]=>[2,2,1,1] [[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[1,3,2]=>[3,2,1] [[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[1,1,2,2]=>[2,2,1,1] [[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[2,2,2]=>[2,2,2] [[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[1,3,2]=>[3,2,1] [[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[1,3,2]=>[3,2,1] [[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[4,2]=>[4,2] [[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[1,1,1,1,2]=>[2,1,1,1,1] [[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[2,1,1,2]=>[2,2,1,1] [[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[1,2,1,2]=>[2,2,1,1] [[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[1,2,1,2]=>[2,2,1,1] [[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[3,1,2]=>[3,2,1] [[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[1,1,1,3]=>[3,1,1,1] [[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[2,1,3]=>[3,2,1] [[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[1,2,3]=>[3,2,1] [[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[1,2,3]=>[3,2,1] [[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[3,3]=>[3,3] [[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[1,1,1,1,2]=>[2,1,1,1,1] [[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[2,1,1,2]=>[2,2,1,1] [[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[1,1,2,2]=>[2,2,1,1] [[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[2,2,2]=>[2,2,2] [[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[1,1,1,3]=>[3,1,1,1] [[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[2,1,3]=>[3,2,1] [[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[1,1,1,3]=>[3,1,1,1] [[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[2,1,3]=>[3,2,1] [[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[1,1,4]=>[4,1,1] [[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[2,4]=>[4,2] [[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[1,1,1,1,2]=>[2,1,1,1,1] [[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[1,2,1,2]=>[2,2,1,1] [[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[1,1,2,2]=>[2,2,1,1] [[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[1,1,2,2]=>[2,2,1,1] [[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[1,3,2]=>[3,2,1] [[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[1,1,1,3]=>[3,1,1,1] [[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[1,2,3]=>[3,2,1] [[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[1,1,1,3]=>[3,1,1,1] [[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[1,1,4]=>[4,1,1] [[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[1,1,1,3]=>[3,1,1,1] [[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[1,2,3]=>[3,2,1] [[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[1,1,4]=>[4,1,1] [[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[1,1,4]=>[4,1,1] [[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[1,5]=>[5,1] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[1,1,1,1,2]=>[2,1,1,1,1] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[2,1,1,2]=>[2,2,1,1] [[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[1,2,1,2]=>[2,2,1,1] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[1,2,1,2]=>[2,2,1,1] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[3,1,2]=>[3,2,1] [[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[1,1,2,2]=>[2,2,1,1] [[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[2,2,2]=>[2,2,2] [[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[1,1,2,2]=>[2,2,1,1] [[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[1,3,2]=>[3,2,1] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[1,1,2,2]=>[2,2,1,1] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[2,2,2]=>[2,2,2] [[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[1,3,2]=>[3,2,1] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[1,3,2]=>[3,2,1] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[4,2]=>[4,2] [[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[1,1,1,3]=>[3,1,1,1] [[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[2,1,3]=>[3,2,1] [[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[1,2,3]=>[3,2,1] [[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[1,2,3]=>[3,2,1] [[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[3,3]=>[3,3] [[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[1,1,1,3]=>[3,1,1,1] [[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[2,1,3]=>[3,2,1] [[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[1,1,4]=>[4,1,1] [[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[2,4]=>[4,2] [[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[1,1,1,3]=>[3,1,1,1] [[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[1,2,3]=>[3,2,1] [[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[1,1,4]=>[4,1,1] [[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[1,1,4]=>[4,1,1] [[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[1,5]=>[5,1] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[1,1,1,3]=>[3,1,1,1] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[2,1,3]=>[3,2,1] [[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[1,2,3]=>[3,2,1] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[1,2,3]=>[3,2,1] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[3,3]=>[3,3] [[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[1,1,4]=>[4,1,1] [[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[2,4]=>[4,2] [[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[1,1,4]=>[4,1,1] [[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[1,5]=>[5,1] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[1,1,4]=>[4,1,1] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[2,4]=>[4,2] [[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[1,5]=>[5,1] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[1,5]=>[5,1] [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[6]=>[6] [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[2,1,1,1,1,1]=>[2,1,1,1,1,1] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[1,2,1,1,1,1]=>[2,1,1,1,1,1] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[1,2,1,1,1,1]=>[2,1,1,1,1,1] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[3,1,1,1,1]=>[3,1,1,1,1] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[1,1,2,1,1,1]=>[2,1,1,1,1,1] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[2,2,1,1,1]=>[2,2,1,1,1] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[1,1,2,1,1,1]=>[2,1,1,1,1,1] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[1,3,1,1,1]=>[3,1,1,1,1] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[1,1,2,1,1,1]=>[2,1,1,1,1,1] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[2,2,1,1,1]=>[2,2,1,1,1] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[1,3,1,1,1]=>[3,1,1,1,1] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[1,3,1,1,1]=>[3,1,1,1,1] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[4,1,1,1]=>[4,1,1,1] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[1,1,1,2,1,1]=>[2,1,1,1,1,1] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[2,1,2,1,1]=>[2,2,1,1,1] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[1,2,2,1,1]=>[2,2,1,1,1] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[1,2,2,1,1]=>[2,2,1,1,1] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[3,2,1,1]=>[3,2,1,1] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[1,1,1,2,1,1]=>[2,1,1,1,1,1] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[2,1,2,1,1]=>[2,2,1,1,1] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[1,1,3,1,1]=>[3,1,1,1,1] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[2,3,1,1]=>[3,2,1,1] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[1,1,1,2,1,1]=>[2,1,1,1,1,1] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[1,2,2,1,1]=>[2,2,1,1,1] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[1,1,3,1,1]=>[3,1,1,1,1] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[1,1,3,1,1]=>[3,1,1,1,1] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[1,4,1,1]=>[4,1,1,1] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[1,1,1,2,1,1]=>[2,1,1,1,1,1] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[2,1,2,1,1]=>[2,2,1,1,1] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[1,2,2,1,1]=>[2,2,1,1,1] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[1,2,2,1,1]=>[2,2,1,1,1] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[3,2,1,1]=>[3,2,1,1] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[1,1,3,1,1]=>[3,1,1,1,1] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[2,3,1,1]=>[3,2,1,1] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[1,1,3,1,1]=>[3,1,1,1,1] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[1,4,1,1]=>[4,1,1,1] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[1,1,3,1,1]=>[3,1,1,1,1] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[2,3,1,1]=>[3,2,1,1] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[1,4,1,1]=>[4,1,1,1] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[1,4,1,1]=>[4,1,1,1] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[5,1,1]=>[5,1,1] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[1,1,1,1,2,1]=>[2,1,1,1,1,1] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[2,1,1,2,1]=>[2,2,1,1,1] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[1,2,1,2,1]=>[2,2,1,1,1] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[1,2,1,2,1]=>[2,2,1,1,1] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[3,1,2,1]=>[3,2,1,1] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[1,1,2,2,1]=>[2,2,1,1,1] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[2,2,2,1]=>[2,2,2,1] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[1,1,2,2,1]=>[2,2,1,1,1] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[1,3,2,1]=>[3,2,1,1] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[1,1,2,2,1]=>[2,2,1,1,1] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[2,2,2,1]=>[2,2,2,1] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[1,3,2,1]=>[3,2,1,1] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[1,3,2,1]=>[3,2,1,1] [.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[4,2,1]=>[4,2,1] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[1,1,1,1,2,1]=>[2,1,1,1,1,1] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[2,1,1,2,1]=>[2,2,1,1,1] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[1,2,1,2,1]=>[2,2,1,1,1] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[1,2,1,2,1]=>[2,2,1,1,1] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[3,1,2,1]=>[3,2,1,1] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[1,1,1,3,1]=>[3,1,1,1,1] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[2,1,3,1]=>[3,2,1,1] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[1,2,3,1]=>[3,2,1,1] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[1,2,3,1]=>[3,2,1,1] [.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[3,3,1]=>[3,3,1] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[1,1,1,1,2,1]=>[2,1,1,1,1,1] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[2,1,1,2,1]=>[2,2,1,1,1] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[1,1,2,2,1]=>[2,2,1,1,1] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[2,2,2,1]=>[2,2,2,1] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[1,1,1,3,1]=>[3,1,1,1,1] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[2,1,3,1]=>[3,2,1,1] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[1,1,1,3,1]=>[3,1,1,1,1] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[2,1,3,1]=>[3,2,1,1] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[1,1,4,1]=>[4,1,1,1] [.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[2,4,1]=>[4,2,1] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[1,1,1,1,2,1]=>[2,1,1,1,1,1] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[1,2,1,2,1]=>[2,2,1,1,1] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[1,1,2,2,1]=>[2,2,1,1,1] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[1,1,2,2,1]=>[2,2,1,1,1] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[1,3,2,1]=>[3,2,1,1] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[1,1,1,3,1]=>[3,1,1,1,1] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[1,2,3,1]=>[3,2,1,1] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[1,1,1,3,1]=>[3,1,1,1,1] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[1,1,4,1]=>[4,1,1,1] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[1,1,1,3,1]=>[3,1,1,1,1] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[1,2,3,1]=>[3,2,1,1] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[1,1,4,1]=>[4,1,1,1] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[1,1,4,1]=>[4,1,1,1] [.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[1,5,1]=>[5,1,1] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[1,1,1,1,2,1]=>[2,1,1,1,1,1] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[2,1,1,2,1]=>[2,2,1,1,1] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[1,2,1,2,1]=>[2,2,1,1,1] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[1,2,1,2,1]=>[2,2,1,1,1] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[3,1,2,1]=>[3,2,1,1] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[1,1,2,2,1]=>[2,2,1,1,1] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[2,2,2,1]=>[2,2,2,1] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[1,1,2,2,1]=>[2,2,1,1,1] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[1,3,2,1]=>[3,2,1,1] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[1,1,2,2,1]=>[2,2,1,1,1] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[2,2,2,1]=>[2,2,2,1] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[1,3,2,1]=>[3,2,1,1] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[1,3,2,1]=>[3,2,1,1] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[4,2,1]=>[4,2,1] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[1,1,1,3,1]=>[3,1,1,1,1] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[2,1,3,1]=>[3,2,1,1] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[1,2,3,1]=>[3,2,1,1] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[1,2,3,1]=>[3,2,1,1] [.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[3,3,1]=>[3,3,1] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[1,1,1,3,1]=>[3,1,1,1,1] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[2,1,3,1]=>[3,2,1,1] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[1,1,4,1]=>[4,1,1,1] [.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[2,4,1]=>[4,2,1] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[1,1,1,3,1]=>[3,1,1,1,1] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[1,2,3,1]=>[3,2,1,1] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[1,1,4,1]=>[4,1,1,1] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[1,1,4,1]=>[4,1,1,1] [.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[1,5,1]=>[5,1,1] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[1,1,1,3,1]=>[3,1,1,1,1] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[2,1,3,1]=>[3,2,1,1] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[1,2,3,1]=>[3,2,1,1] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[1,2,3,1]=>[3,2,1,1] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[3,3,1]=>[3,3,1] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[1,1,4,1]=>[4,1,1,1] [.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[2,4,1]=>[4,2,1] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[1,1,4,1]=>[4,1,1,1] [.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[1,5,1]=>[5,1,1] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[1,1,4,1]=>[4,1,1,1] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[2,4,1]=>[4,2,1] [.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[1,5,1]=>[5,1,1] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[1,5,1]=>[5,1,1] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[6,1]=>[6,1] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[1,1,1,1,1,2]=>[2,1,1,1,1,1] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[2,1,1,1,2]=>[2,2,1,1,1] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[1,2,1,1,2]=>[2,2,1,1,1] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[1,2,1,1,2]=>[2,2,1,1,1] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[3,1,1,2]=>[3,2,1,1] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[1,1,2,1,2]=>[2,2,1,1,1] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[2,2,1,2]=>[2,2,2,1] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[1,1,2,1,2]=>[2,2,1,1,1] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[1,3,1,2]=>[3,2,1,1] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[1,1,2,1,2]=>[2,2,1,1,1] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[2,2,1,2]=>[2,2,2,1] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[1,3,1,2]=>[3,2,1,1] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[1,3,1,2]=>[3,2,1,1] [[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[4,1,2]=>[4,2,1] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[2,1,2,2]=>[2,2,2,1] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[1,2,2,2]=>[2,2,2,1] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[1,2,2,2]=>[2,2,2,1] [[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[3,2,2]=>[3,2,2] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[2,1,2,2]=>[2,2,2,1] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[1,1,3,2]=>[3,2,1,1] [[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[2,3,2]=>[3,2,2] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[1,2,2,2]=>[2,2,2,1] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[1,1,3,2]=>[3,2,1,1] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[1,1,3,2]=>[3,2,1,1] [[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[1,4,2]=>[4,2,1] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[2,1,2,2]=>[2,2,2,1] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[1,2,2,2]=>[2,2,2,1] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[1,2,2,2]=>[2,2,2,1] [[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[3,2,2]=>[3,2,2] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[1,1,3,2]=>[3,2,1,1] [[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[2,3,2]=>[3,2,2] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[1,1,3,2]=>[3,2,1,1] [[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[1,4,2]=>[4,2,1] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[1,1,3,2]=>[3,2,1,1] [[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[2,3,2]=>[3,2,2] [[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[1,4,2]=>[4,2,1] [[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[1,4,2]=>[4,2,1] [[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[5,2]=>[5,2] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[1,1,1,1,1,2]=>[2,1,1,1,1,1] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[2,1,1,1,2]=>[2,2,1,1,1] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[1,2,1,1,2]=>[2,2,1,1,1] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[1,2,1,1,2]=>[2,2,1,1,1] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[3,1,1,2]=>[3,2,1,1] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[1,1,2,1,2]=>[2,2,1,1,1] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[2,2,1,2]=>[2,2,2,1] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[1,1,2,1,2]=>[2,2,1,1,1] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[1,3,1,2]=>[3,2,1,1] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[1,1,2,1,2]=>[2,2,1,1,1] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[2,2,1,2]=>[2,2,2,1] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[1,3,1,2]=>[3,2,1,1] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[1,3,1,2]=>[3,2,1,1] [[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[4,1,2]=>[4,2,1] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[2,1,1,3]=>[3,2,1,1] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[1,2,1,3]=>[3,2,1,1] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[1,2,1,3]=>[3,2,1,1] [[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[3,1,3]=>[3,3,1] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[1,1,2,3]=>[3,2,1,1] [[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[2,2,3]=>[3,2,2] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[1,1,2,3]=>[3,2,1,1] [[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[1,3,3]=>[3,3,1] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[1,1,2,3]=>[3,2,1,1] [[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[2,2,3]=>[3,2,2] [[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[1,3,3]=>[3,3,1] [[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[1,3,3]=>[3,3,1] [[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[4,3]=>[4,3] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[1,1,1,1,1,2]=>[2,1,1,1,1,1] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[2,1,1,1,2]=>[2,2,1,1,1] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[1,2,1,1,2]=>[2,2,1,1,1] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[1,2,1,1,2]=>[2,2,1,1,1] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[3,1,1,2]=>[3,2,1,1] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[2,1,2,2]=>[2,2,2,1] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[1,2,2,2]=>[2,2,2,1] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[1,2,2,2]=>[2,2,2,1] [[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[3,2,2]=>[3,2,2] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[2,1,1,3]=>[3,2,1,1] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[1,2,1,3]=>[3,2,1,1] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[1,2,1,3]=>[3,2,1,1] [[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[3,1,3]=>[3,3,1] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[2,1,1,3]=>[3,2,1,1] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[1,2,1,3]=>[3,2,1,1] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[1,2,1,3]=>[3,2,1,1] [[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[3,1,3]=>[3,3,1] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[1,1,1,4]=>[4,1,1,1] [[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[2,1,4]=>[4,2,1] [[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[1,2,4]=>[4,2,1] [[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[1,2,4]=>[4,2,1] [[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[3,4]=>[4,3] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[1,1,1,1,1,2]=>[2,1,1,1,1,1] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[2,1,1,1,2]=>[2,2,1,1,1] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[1,1,2,1,2]=>[2,2,1,1,1] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[2,2,1,2]=>[2,2,2,1] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[2,1,2,2]=>[2,2,2,1] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[2,1,2,2]=>[2,2,2,1] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[1,1,3,2]=>[3,2,1,1] [[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[2,3,2]=>[3,2,2] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[2,1,1,3]=>[3,2,1,1] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[1,1,2,3]=>[3,2,1,1] [[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[2,2,3]=>[3,2,2] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[2,1,1,3]=>[3,2,1,1] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[1,1,1,4]=>[4,1,1,1] [[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[2,1,4]=>[4,2,1] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[2,1,1,3]=>[3,2,1,1] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[1,1,2,3]=>[3,2,1,1] [[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[2,2,3]=>[3,2,2] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[1,1,1,4]=>[4,1,1,1] [[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[2,1,4]=>[4,2,1] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[1,1,1,4]=>[4,1,1,1] [[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[2,1,4]=>[4,2,1] [[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[1,1,5]=>[5,1,1] [[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[2,5]=>[5,2] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[1,1,1,1,1,2]=>[2,1,1,1,1,1] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[1,2,1,1,2]=>[2,2,1,1,1] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[1,1,2,1,2]=>[2,2,1,1,1] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[1,1,2,1,2]=>[2,2,1,1,1] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[1,3,1,2]=>[3,2,1,1] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[1,2,2,2]=>[2,2,2,1] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[1,1,3,2]=>[3,2,1,1] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[1,2,2,2]=>[2,2,2,1] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[1,1,3,2]=>[3,2,1,1] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[1,1,3,2]=>[3,2,1,1] [[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[1,4,2]=>[4,2,1] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[1,2,1,3]=>[3,2,1,1] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[1,1,2,3]=>[3,2,1,1] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[1,1,2,3]=>[3,2,1,1] [[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[1,3,3]=>[3,3,1] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[1,2,1,3]=>[3,2,1,1] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[1,1,1,4]=>[4,1,1,1] [[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[1,2,4]=>[4,2,1] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[1,1,2,3]=>[3,2,1,1] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[1,1,1,4]=>[4,1,1,1] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[1,1,1,4]=>[4,1,1,1] [[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[1,1,5]=>[5,1,1] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[1,2,1,3]=>[3,2,1,1] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[1,1,2,3]=>[3,2,1,1] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[1,1,2,3]=>[3,2,1,1] [[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[1,3,3]=>[3,3,1] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[1,1,1,4]=>[4,1,1,1] [[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[1,2,4]=>[4,2,1] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[1,1,1,4]=>[4,1,1,1] [[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[1,1,5]=>[5,1,1] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[1,1,1,4]=>[4,1,1,1] [[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[1,2,4]=>[4,2,1] [[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[1,1,5]=>[5,1,1] [[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[1,1,5]=>[5,1,1] [[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[1,6]=>[6,1] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[1,1,1,1,1,2]=>[2,1,1,1,1,1] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[2,1,1,1,2]=>[2,2,1,1,1] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[1,2,1,1,2]=>[2,2,1,1,1] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[1,2,1,1,2]=>[2,2,1,1,1] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[3,1,1,2]=>[3,2,1,1] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[1,1,2,1,2]=>[2,2,1,1,1] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[2,2,1,2]=>[2,2,2,1] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[1,1,2,1,2]=>[2,2,1,1,1] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[1,3,1,2]=>[3,2,1,1] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[1,1,2,1,2]=>[2,2,1,1,1] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[2,2,1,2]=>[2,2,2,1] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[1,3,1,2]=>[3,2,1,1] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[1,3,1,2]=>[3,2,1,1] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[4,1,2]=>[4,2,1] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[2,1,2,2]=>[2,2,2,1] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[1,2,2,2]=>[2,2,2,1] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[1,2,2,2]=>[2,2,2,1] [[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[3,2,2]=>[3,2,2] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[2,1,2,2]=>[2,2,2,1] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[1,1,3,2]=>[3,2,1,1] [[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[2,3,2]=>[3,2,2] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[1,2,2,2]=>[2,2,2,1] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[1,1,3,2]=>[3,2,1,1] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[1,1,3,2]=>[3,2,1,1] [[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[1,4,2]=>[4,2,1] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[1,1,1,2,2]=>[2,2,1,1,1] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[2,1,2,2]=>[2,2,2,1] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[1,2,2,2]=>[2,2,2,1] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[1,2,2,2]=>[2,2,2,1] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[3,2,2]=>[3,2,2] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[1,1,3,2]=>[3,2,1,1] [[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[2,3,2]=>[3,2,2] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[1,1,3,2]=>[3,2,1,1] [[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[1,4,2]=>[4,2,1] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[1,1,3,2]=>[3,2,1,1] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[2,3,2]=>[3,2,2] [[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[1,4,2]=>[4,2,1] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[1,4,2]=>[4,2,1] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[5,2]=>[5,2] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[2,1,1,3]=>[3,2,1,1] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[1,2,1,3]=>[3,2,1,1] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[1,2,1,3]=>[3,2,1,1] [[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[3,1,3]=>[3,3,1] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[1,1,2,3]=>[3,2,1,1] [[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[2,2,3]=>[3,2,2] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[1,1,2,3]=>[3,2,1,1] [[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[1,3,3]=>[3,3,1] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[1,1,2,3]=>[3,2,1,1] [[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[2,2,3]=>[3,2,2] [[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[1,3,3]=>[3,3,1] [[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[1,3,3]=>[3,3,1] [[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[4,3]=>[4,3] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[2,1,1,3]=>[3,2,1,1] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[1,2,1,3]=>[3,2,1,1] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[1,2,1,3]=>[3,2,1,1] [[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[3,1,3]=>[3,3,1] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[1,1,1,4]=>[4,1,1,1] [[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[2,1,4]=>[4,2,1] [[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[1,2,4]=>[4,2,1] [[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[1,2,4]=>[4,2,1] [[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[3,4]=>[4,3] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[2,1,1,3]=>[3,2,1,1] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[1,1,2,3]=>[3,2,1,1] [[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[2,2,3]=>[3,2,2] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[1,1,1,4]=>[4,1,1,1] [[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[2,1,4]=>[4,2,1] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[1,1,1,4]=>[4,1,1,1] [[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[2,1,4]=>[4,2,1] [[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[1,1,5]=>[5,1,1] [[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[2,5]=>[5,2] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[1,2,1,3]=>[3,2,1,1] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[1,1,2,3]=>[3,2,1,1] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[1,1,2,3]=>[3,2,1,1] [[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[1,3,3]=>[3,3,1] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[1,1,1,4]=>[4,1,1,1] [[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[1,2,4]=>[4,2,1] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[1,1,1,4]=>[4,1,1,1] [[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[1,1,5]=>[5,1,1] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[1,1,1,4]=>[4,1,1,1] [[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[1,2,4]=>[4,2,1] [[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[1,1,5]=>[5,1,1] [[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[1,1,5]=>[5,1,1] [[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[1,6]=>[6,1] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[1,1,1,1,3]=>[3,1,1,1,1] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[2,1,1,3]=>[3,2,1,1] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[1,2,1,3]=>[3,2,1,1] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[1,2,1,3]=>[3,2,1,1] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[3,1,3]=>[3,3,1] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[1,1,2,3]=>[3,2,1,1] [[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[2,2,3]=>[3,2,2] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[1,1,2,3]=>[3,2,1,1] [[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[1,3,3]=>[3,3,1] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[1,1,2,3]=>[3,2,1,1] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[2,2,3]=>[3,2,2] [[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[1,3,3]=>[3,3,1] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[1,3,3]=>[3,3,1] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[4,3]=>[4,3] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[1,1,1,4]=>[4,1,1,1] [[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[2,1,4]=>[4,2,1] [[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[1,2,4]=>[4,2,1] [[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[1,2,4]=>[4,2,1] [[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[3,4]=>[4,3] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[1,1,1,4]=>[4,1,1,1] [[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[2,1,4]=>[4,2,1] [[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[1,1,5]=>[5,1,1] [[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[2,5]=>[5,2] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[1,1,1,4]=>[4,1,1,1] [[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[1,2,4]=>[4,2,1] [[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[1,1,5]=>[5,1,1] [[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[1,1,5]=>[5,1,1] [[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[1,6]=>[6,1] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[1,1,1,4]=>[4,1,1,1] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[2,1,4]=>[4,2,1] [[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[1,2,4]=>[4,2,1] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[1,2,4]=>[4,2,1] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[3,4]=>[4,3] [[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[1,1,5]=>[5,1,1] [[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[2,5]=>[5,2] [[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[1,1,5]=>[5,1,1] [[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[1,6]=>[6,1] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[1,1,5]=>[5,1,1] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[2,5]=>[5,2] [[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[1,6]=>[6,1] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[1,6]=>[6,1] [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[7]=>[7] [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[1,1,1,1,1,1,1,1]=>[1,1,1,1,1,1,1,1] [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[2,1,1,1,1,1,1]=>[2,1,1,1,1,1,1] [.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[8,6,7,5,4,3,2,1]=>[1,2,1,1,1,1,1]=>[2,1,1,1,1,1,1] [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[1,2,1,1,1,1,1]=>[2,1,1,1,1,1,1] [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[3,1,1,1,1,1]=>[3,1,1,1,1,1] [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[8,7,5,6,4,3,2,1]=>[1,1,2,1,1,1,1]=>[2,1,1,1,1,1,1] [.,[.,[.,[.,[[.,.],[[.,.],.]]]]]]=>[7,8,5,6,4,3,2,1]=>[2,2,1,1,1,1]=>[2,2,1,1,1,1] [.,[.,[.,[.,[[.,[.,.]],[.,.]]]]]]=>[8,6,5,7,4,3,2,1]=>[1,1,2,1,1,1,1]=>[2,1,1,1,1,1,1] [.,[.,[.,[.,[[[.,.],.],[.,.]]]]]]=>[8,5,6,7,4,3,2,1]=>[1,3,1,1,1,1]=>[3,1,1,1,1,1] [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[1,1,2,1,1,1,1]=>[2,1,1,1,1,1,1] [.,[.,[.,[.,[[.,[[.,.],.]],.]]]]]=>[6,7,5,8,4,3,2,1]=>[2,2,1,1,1,1]=>[2,2,1,1,1,1] [.,[.,[.,[.,[[[.,.],[.,.]],.]]]]]=>[7,5,6,8,4,3,2,1]=>[1,3,1,1,1,1]=>[3,1,1,1,1,1] [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[1,3,1,1,1,1]=>[3,1,1,1,1,1] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[4,1,1,1,1]=>[4,1,1,1,1] [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[8,7,6,4,5,3,2,1]=>[1,1,1,2,1,1,1]=>[2,1,1,1,1,1,1] [.,[.,[.,[[.,.],[[.,.],[.,.]]]]]]=>[8,6,7,4,5,3,2,1]=>[1,2,2,1,1,1]=>[2,2,1,1,1,1] [.,[.,[.,[[.,.],[[.,[.,.]],.]]]]]=>[7,6,8,4,5,3,2,1]=>[1,2,2,1,1,1]=>[2,2,1,1,1,1] [.,[.,[.,[[.,.],[[[.,.],.],.]]]]]=>[6,7,8,4,5,3,2,1]=>[3,2,1,1,1]=>[3,2,1,1,1] [.,[.,[.,[[.,[.,.]],[.,[.,.]]]]]]=>[8,7,5,4,6,3,2,1]=>[1,1,1,2,1,1,1]=>[2,1,1,1,1,1,1] [.,[.,[.,[[[.,.],.],[[.,.],.]]]]]=>[7,8,4,5,6,3,2,1]=>[2,3,1,1,1]=>[3,2,1,1,1] [.,[.,[.,[[.,[.,[.,.]]],[.,.]]]]]=>[8,6,5,4,7,3,2,1]=>[1,1,1,2,1,1,1]=>[2,1,1,1,1,1,1] [.,[.,[.,[[.,[[.,.],.]],[.,.]]]]]=>[8,5,6,4,7,3,2,1]=>[1,2,2,1,1,1]=>[2,2,1,1,1,1] [.,[.,[.,[[[.,.],[.,.]],[.,.]]]]]=>[8,6,4,5,7,3,2,1]=>[1,1,3,1,1,1]=>[3,1,1,1,1,1] [.,[.,[.,[[[.,[.,.]],.],[.,.]]]]]=>[8,5,4,6,7,3,2,1]=>[1,1,3,1,1,1]=>[3,1,1,1,1,1] [.,[.,[.,[[[[.,.],.],.],[.,.]]]]]=>[8,4,5,6,7,3,2,1]=>[1,4,1,1,1]=>[4,1,1,1,1] [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[1,1,1,2,1,1,1]=>[2,1,1,1,1,1,1] [.,[.,[.,[[.,[.,[[.,.],.]]],.]]]]=>[6,7,5,4,8,3,2,1]=>[2,1,2,1,1,1]=>[2,2,1,1,1,1] [.,[.,[.,[[.,[[.,.],[.,.]]],.]]]]=>[7,5,6,4,8,3,2,1]=>[1,2,2,1,1,1]=>[2,2,1,1,1,1] [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[1,2,2,1,1,1]=>[2,2,1,1,1,1] [.,[.,[.,[[.,[[[.,.],.],.]],.]]]]=>[5,6,7,4,8,3,2,1]=>[3,2,1,1,1]=>[3,2,1,1,1] [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[7,6,4,5,8,3,2,1]=>[1,1,3,1,1,1]=>[3,1,1,1,1,1] [.,[.,[.,[[[.,.],[[.,.],.]],.]]]]=>[6,7,4,5,8,3,2,1]=>[2,3,1,1,1]=>[3,2,1,1,1] [.,[.,[.,[[[.,[.,.]],[.,.]],.]]]]=>[7,5,4,6,8,3,2,1]=>[1,1,3,1,1,1]=>[3,1,1,1,1,1] [.,[.,[.,[[[[.,.],.],[.,.]],.]]]]=>[7,4,5,6,8,3,2,1]=>[1,4,1,1,1]=>[4,1,1,1,1] [.,[.,[.,[[[.,[.,[.,.]]],.],.]]]]=>[6,5,4,7,8,3,2,1]=>[1,1,3,1,1,1]=>[3,1,1,1,1,1] [.,[.,[.,[[[.,[[.,.],.]],.],.]]]]=>[5,6,4,7,8,3,2,1]=>[2,3,1,1,1]=>[3,2,1,1,1] [.,[.,[.,[[[[.,.],[.,.]],.],.]]]]=>[6,4,5,7,8,3,2,1]=>[1,4,1,1,1]=>[4,1,1,1,1] [.,[.,[.,[[[[.,[.,.]],.],.],.]]]]=>[5,4,6,7,8,3,2,1]=>[1,4,1,1,1]=>[4,1,1,1,1] [.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[5,1,1,1]=>[5,1,1,1] [.,[.,[[.,.],[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,3,4,2,1]=>[1,1,1,1,2,1,1]=>[2,1,1,1,1,1,1] [.,[.,[[.,.],[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,3,4,2,1]=>[2,1,1,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,3,4,2,1]=>[1,2,1,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[.,.],[.,[[[.,.],.],.]]]]]=>[6,7,8,5,3,4,2,1]=>[3,1,2,1,1]=>[3,2,1,1,1] [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[1,1,2,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[.,.],[[.,.],[[.,.],.]]]]]=>[7,8,5,6,3,4,2,1]=>[2,2,2,1,1]=>[2,2,2,1,1] [.,[.,[[.,.],[[.,[.,.]],[.,.]]]]]=>[8,6,5,7,3,4,2,1]=>[1,1,2,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[.,.],[[[.,.],.],[.,.]]]]]=>[8,5,6,7,3,4,2,1]=>[1,3,2,1,1]=>[3,2,1,1,1] [.,[.,[[.,.],[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,3,4,2,1]=>[1,1,2,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[.,.],[[.,[[.,.],.]],.]]]]=>[6,7,5,8,3,4,2,1]=>[2,2,2,1,1]=>[2,2,2,1,1] [.,[.,[[.,.],[[[.,[.,.]],.],.]]]]=>[6,5,7,8,3,4,2,1]=>[1,3,2,1,1]=>[3,2,1,1,1] [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[4,2,1,1]=>[4,2,1,1] [.,[.,[[.,[.,.]],[.,[.,[.,.]]]]]]=>[8,7,6,4,3,5,2,1]=>[1,1,1,1,2,1,1]=>[2,1,1,1,1,1,1] [.,[.,[[.,[.,.]],[.,[[.,.],.]]]]]=>[7,8,6,4,3,5,2,1]=>[2,1,1,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[.,[.,.]],[[.,[.,.]],.]]]]=>[7,6,8,4,3,5,2,1]=>[1,2,1,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[.,[.,.]],[[[.,.],.],.]]]]=>[6,7,8,4,3,5,2,1]=>[3,1,2,1,1]=>[3,2,1,1,1] [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[8,7,6,3,4,5,2,1]=>[1,1,1,3,1,1]=>[3,1,1,1,1,1] [.,[.,[[[.,.],.],[.,[[.,.],.]]]]]=>[7,8,6,3,4,5,2,1]=>[2,1,3,1,1]=>[3,2,1,1,1] [.,[.,[[[.,.],.],[[.,.],[.,.]]]]]=>[8,6,7,3,4,5,2,1]=>[1,2,3,1,1]=>[3,2,1,1,1] [.,[.,[[[.,.],.],[[.,[.,.]],.]]]]=>[7,6,8,3,4,5,2,1]=>[1,2,3,1,1]=>[3,2,1,1,1] [.,[.,[[[.,.],.],[[[.,.],.],.]]]]=>[6,7,8,3,4,5,2,1]=>[3,3,1,1]=>[3,3,1,1] [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[8,7,5,4,3,6,2,1]=>[1,1,1,1,2,1,1]=>[2,1,1,1,1,1,1] [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[7,8,5,4,3,6,2,1]=>[2,1,1,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[[.,.],[.,.]],[[.,.],.]]]]=>[7,8,5,3,4,6,2,1]=>[2,1,3,1,1]=>[3,2,1,1,1] [.,[.,[[[.,[.,.]],.],[.,[.,.]]]]]=>[8,7,4,3,5,6,2,1]=>[1,1,1,3,1,1]=>[3,1,1,1,1,1] [.,[.,[[[.,[.,.]],.],[[.,.],.]]]]=>[7,8,4,3,5,6,2,1]=>[2,1,3,1,1]=>[3,2,1,1,1] [.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[8,7,3,4,5,6,2,1]=>[1,1,4,1,1]=>[4,1,1,1,1] [.,[.,[[.,[.,[.,[.,.]]]],[.,.]]]]=>[8,6,5,4,3,7,2,1]=>[1,1,1,1,2,1,1]=>[2,1,1,1,1,1,1] [.,[.,[[.,[[.,[.,.]],.]],[.,.]]]]=>[8,5,4,6,3,7,2,1]=>[1,1,2,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[[.,[.,[.,.]]],.],[.,.]]]]=>[8,5,4,3,6,7,2,1]=>[1,1,1,3,1,1]=>[3,1,1,1,1,1] [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[1,1,1,1,2,1,1]=>[2,1,1,1,1,1,1] [.,[.,[[.,[.,[.,[[.,.],.]]]],.]]]=>[6,7,5,4,3,8,2,1]=>[2,1,1,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[7,5,6,4,3,8,2,1]=>[1,2,1,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[.,[.,[[.,[.,.]],.]]],.]]]=>[6,5,7,4,3,8,2,1]=>[1,2,1,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[.,[[.,.],[.,[.,.]]]],.]]]=>[7,6,4,5,3,8,2,1]=>[1,1,2,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[.,[[.,.],[[.,.],.]]],.]]]=>[6,7,4,5,3,8,2,1]=>[2,2,2,1,1]=>[2,2,2,1,1] [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[7,5,4,6,3,8,2,1]=>[1,1,2,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[.,[[[.,.],.],[.,.]]],.]]]=>[7,4,5,6,3,8,2,1]=>[1,3,2,1,1]=>[3,2,1,1,1] [.,[.,[[.,[[.,[.,[.,.]]],.]],.]]]=>[6,5,4,7,3,8,2,1]=>[1,1,2,2,1,1]=>[2,2,1,1,1,1] [.,[.,[[.,[[.,[[.,.],.]],.]],.]]]=>[5,6,4,7,3,8,2,1]=>[2,2,2,1,1]=>[2,2,2,1,1] [.,[.,[[.,[[[.,.],[.,.]],.]],.]]]=>[6,4,5,7,3,8,2,1]=>[1,3,2,1,1]=>[3,2,1,1,1] [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[1,3,2,1,1]=>[3,2,1,1,1] [.,[.,[[.,[[[[.,.],.],.],.]],.]]]=>[4,5,6,7,3,8,2,1]=>[4,2,1,1]=>[4,2,1,1] [.,[.,[[[.,.],[.,[[.,.],.]]],.]]]=>[6,7,5,3,4,8,2,1]=>[2,1,3,1,1]=>[3,2,1,1,1] [.,[.,[[[.,.],[[.,[.,.]],.]],.]]]=>[6,5,7,3,4,8,2,1]=>[1,2,3,1,1]=>[3,2,1,1,1] [.,[.,[[[[.,.],.],[.,[.,.]]],.]]]=>[7,6,3,4,5,8,2,1]=>[1,1,4,1,1]=>[4,1,1,1,1] [.,[.,[[[.,[.,[.,.]]],[.,.]],.]]]=>[7,5,4,3,6,8,2,1]=>[1,1,1,3,1,1]=>[3,1,1,1,1,1] [.,[.,[[[[.,.],[.,.]],[.,.]],.]]]=>[7,5,3,4,6,8,2,1]=>[1,1,4,1,1]=>[4,1,1,1,1] [.,[.,[[[.,[.,[.,[.,.]]]],.],.]]]=>[6,5,4,3,7,8,2,1]=>[1,1,1,3,1,1]=>[3,1,1,1,1,1] [.,[.,[[[[[.,.],.],[.,.]],.],.]]]=>[6,3,4,5,7,8,2,1]=>[1,5,1,1]=>[5,1,1,1] [.,[.,[[[[.,[[.,.],.]],.],.],.]]]=>[4,5,3,6,7,8,2,1]=>[2,4,1,1]=>[4,2,1,1] [.,[.,[[[[[.,.],[.,.]],.],.],.]]]=>[5,3,4,6,7,8,2,1]=>[1,5,1,1]=>[5,1,1,1] [.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[4,3,5,6,7,8,2,1]=>[1,5,1,1]=>[5,1,1,1] [.,[[.,.],[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,2,3,1]=>[1,1,1,1,1,2,1]=>[2,1,1,1,1,1,1] [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,2,3,1]=>[1,2,1,1,2,1]=>[2,2,1,1,1,1] [.,[[.,.],[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,2,3,1]=>[1,2,1,1,2,1]=>[2,2,1,1,1,1] [.,[[.,.],[.,[[[.,.],.],[.,.]]]]]=>[8,5,6,7,4,2,3,1]=>[1,3,1,2,1]=>[3,2,1,1,1] [.,[[.,.],[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,2,3,1]=>[1,1,2,1,2,1]=>[2,2,1,1,1,1] [.,[[.,.],[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,2,3,1]=>[2,2,1,2,1]=>[2,2,2,1,1] [.,[[.,.],[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,2,3,1]=>[1,3,1,2,1]=>[3,2,1,1,1] [.,[[.,.],[.,[[[.,[.,.]],.],.]]]]=>[6,5,7,8,4,2,3,1]=>[1,3,1,2,1]=>[3,2,1,1,1] [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[4,1,2,1]=>[4,2,1,1] [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,2,3,1]=>[1,1,1,2,2,1]=>[2,2,1,1,1,1] [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[.,.],[[.,.],[[.,[.,.]],.]]]]=>[7,6,8,4,5,2,3,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[.,.],[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,2,3,1]=>[1,1,1,2,2,1]=>[2,2,1,1,1,1] [.,[[.,.],[[[.,.],.],[.,[.,.]]]]]=>[8,7,4,5,6,2,3,1]=>[1,1,3,2,1]=>[3,2,1,1,1] [.,[[.,.],[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,2,3,1]=>[2,3,2,1]=>[3,2,2,1] [.,[[.,.],[[.,[.,[.,.]]],[.,.]]]]=>[8,6,5,4,7,2,3,1]=>[1,1,1,2,2,1]=>[2,2,1,1,1,1] [.,[[.,.],[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,2,3,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[.,.],[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,2,3,1]=>[1,1,3,2,1]=>[3,2,1,1,1] [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,2,3,1]=>[1,1,1,2,2,1]=>[2,2,1,1,1,1] [.,[[.,.],[[.,[.,[[.,.],.]]],.]]]=>[6,7,5,4,8,2,3,1]=>[2,1,2,2,1]=>[2,2,2,1,1] [.,[[.,.],[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,2,3,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[.,.],[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,2,3,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[.,.],[[.,[[[.,.],.],.]],.]]]=>[5,6,7,4,8,2,3,1]=>[3,2,2,1]=>[3,2,2,1] [.,[[.,.],[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,2,3,1]=>[1,1,3,2,1]=>[3,2,1,1,1] [.,[[.,.],[[[.,[.,[.,.]]],.],.]]]=>[6,5,4,7,8,2,3,1]=>[1,1,3,2,1]=>[3,2,1,1,1] [.,[[.,.],[[[[.,[.,.]],.],.],.]]]=>[5,4,6,7,8,2,3,1]=>[1,4,2,1]=>[4,2,1,1] [.,[[.,.],[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,2,3,1]=>[5,2,1]=>[5,2,1] [.,[[.,[.,.]],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,2,4,1]=>[1,1,1,1,1,2,1]=>[2,1,1,1,1,1,1] [.,[[.,[.,.]],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,2,4,1]=>[2,1,1,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[.,.]],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,3,2,4,1]=>[1,2,1,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[.,.]],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,2,4,1]=>[1,2,1,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,2,4,1]=>[3,1,1,2,1]=>[3,2,1,1,1] [.,[[.,[.,.]],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,2,4,1]=>[1,1,2,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[.,.]],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,2,4,1]=>[2,2,1,2,1]=>[2,2,2,1,1] [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[1,1,2,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[.,.]],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,2,4,1]=>[1,3,1,2,1]=>[3,2,1,1,1] [.,[[.,[.,.]],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,2,4,1]=>[1,1,2,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[.,.]],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,2,4,1]=>[2,2,1,2,1]=>[2,2,2,1,1] [.,[[.,[.,.]],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,2,4,1]=>[1,3,1,2,1]=>[3,2,1,1,1] [.,[[.,[.,.]],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,2,4,1]=>[1,3,1,2,1]=>[3,2,1,1,1] [.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[4,1,2,1]=>[4,2,1,1] [.,[[[.,.],.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,2,3,4,1]=>[1,1,1,1,3,1]=>[3,1,1,1,1,1] [.,[[[.,.],.],[.,[[.,.],[.,.]]]]]=>[8,6,7,5,2,3,4,1]=>[1,2,1,3,1]=>[3,2,1,1,1] [.,[[[.,.],.],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,2,3,4,1]=>[1,2,1,3,1]=>[3,2,1,1,1] [.,[[[.,.],.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,2,3,4,1]=>[3,1,3,1]=>[3,3,1,1] [.,[[[.,.],.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,2,3,4,1]=>[1,1,2,3,1]=>[3,2,1,1,1] [.,[[[.,.],.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,2,3,4,1]=>[2,2,3,1]=>[3,2,2,1] [.,[[[.,.],.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,2,3,4,1]=>[1,1,2,3,1]=>[3,2,1,1,1] [.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[1,3,3,1]=>[3,3,1,1] [.,[[[.,.],.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,2,3,4,1]=>[1,1,2,3,1]=>[3,2,1,1,1] [.,[[[.,.],.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,2,3,4,1]=>[2,2,3,1]=>[3,2,2,1] [.,[[[.,.],.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,2,3,4,1]=>[1,3,3,1]=>[3,3,1,1] [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[4,3,1]=>[4,3,1] [.,[[.,[.,[.,.]]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,2,5,1]=>[1,1,1,1,1,2,1]=>[2,1,1,1,1,1,1] [.,[[.,[.,[.,.]]],[.,[[.,.],.]]]]=>[7,8,6,4,3,2,5,1]=>[2,1,1,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[.,[.,.]]],[[.,.],[.,.]]]]=>[8,6,7,4,3,2,5,1]=>[1,2,1,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[.,[.,.]]],[[.,[.,.]],.]]]=>[7,6,8,4,3,2,5,1]=>[1,2,1,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[.,[.,.]]],[[[.,.],.],.]]]=>[6,7,8,4,3,2,5,1]=>[3,1,1,2,1]=>[3,2,1,1,1] [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[8,7,6,3,4,2,5,1]=>[1,1,1,2,2,1]=>[2,2,1,1,1,1] [.,[[.,[[.,.],.]],[[.,.],[.,.]]]]=>[8,6,7,3,4,2,5,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[.,[[.,.],.]],[[.,[.,.]],.]]]=>[7,6,8,3,4,2,5,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[[.,.],[.,.]],[.,[.,[.,.]]]]]=>[8,7,6,4,2,3,5,1]=>[1,1,1,1,3,1]=>[3,1,1,1,1,1] [.,[[[.,.],[.,.]],[.,[[.,.],.]]]]=>[7,8,6,4,2,3,5,1]=>[2,1,1,3,1]=>[3,2,1,1,1] [.,[[[.,.],[.,.]],[[.,.],[.,.]]]]=>[8,6,7,4,2,3,5,1]=>[1,2,1,3,1]=>[3,2,1,1,1] [.,[[[.,.],[.,.]],[[.,[.,.]],.]]]=>[7,6,8,4,2,3,5,1]=>[1,2,1,3,1]=>[3,2,1,1,1] [.,[[[.,.],[.,.]],[[[.,.],.],.]]]=>[6,7,8,4,2,3,5,1]=>[3,1,3,1]=>[3,3,1,1] [.,[[[.,[.,.]],.],[.,[.,[.,.]]]]]=>[8,7,6,3,2,4,5,1]=>[1,1,1,1,3,1]=>[3,1,1,1,1,1] [.,[[[.,[.,.]],.],[[.,.],[.,.]]]]=>[8,6,7,3,2,4,5,1]=>[1,2,1,3,1]=>[3,2,1,1,1] [.,[[[.,[.,.]],.],[[[.,.],.],.]]]=>[6,7,8,3,2,4,5,1]=>[3,1,3,1]=>[3,3,1,1] [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[8,7,6,2,3,4,5,1]=>[1,1,1,4,1]=>[4,1,1,1,1] [.,[[[[.,.],.],.],[.,[[.,.],.]]]]=>[7,8,6,2,3,4,5,1]=>[2,1,4,1]=>[4,2,1,1] [.,[[[[.,.],.],.],[[.,.],[.,.]]]]=>[8,6,7,2,3,4,5,1]=>[1,2,4,1]=>[4,2,1,1] [.,[[[[.,.],.],.],[[.,[.,.]],.]]]=>[7,6,8,2,3,4,5,1]=>[1,2,4,1]=>[4,2,1,1] [.,[[[[.,.],.],.],[[[.,.],.],.]]]=>[6,7,8,2,3,4,5,1]=>[3,4,1]=>[4,3,1] [.,[[.,[.,[.,[.,.]]]],[.,[.,.]]]]=>[8,7,5,4,3,2,6,1]=>[1,1,1,1,1,2,1]=>[2,1,1,1,1,1,1] [.,[[.,[.,[.,[.,.]]]],[[.,.],.]]]=>[7,8,5,4,3,2,6,1]=>[2,1,1,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[[.,.],[.,.]]],[.,[.,.]]]]=>[8,7,5,3,4,2,6,1]=>[1,1,1,2,2,1]=>[2,2,1,1,1,1] [.,[[.,[[.,.],[.,.]]],[[.,.],.]]]=>[7,8,5,3,4,2,6,1]=>[2,1,2,2,1]=>[2,2,2,1,1] [.,[[[.,.],[.,[.,.]]],[.,[.,.]]]]=>[8,7,5,4,2,3,6,1]=>[1,1,1,1,3,1]=>[3,1,1,1,1,1] [.,[[[.,.],[[.,.],.]],[[.,.],.]]]=>[7,8,4,5,2,3,6,1]=>[2,2,3,1]=>[3,2,2,1] [.,[[[.,[.,.]],[.,.]],[.,[.,.]]]]=>[8,7,5,3,2,4,6,1]=>[1,1,1,1,3,1]=>[3,1,1,1,1,1] [.,[[[[.,.],.],[.,.]],[[.,.],.]]]=>[7,8,5,2,3,4,6,1]=>[2,1,4,1]=>[4,2,1,1] [.,[[[.,[.,[.,.]]],.],[.,[.,.]]]]=>[8,7,4,3,2,5,6,1]=>[1,1,1,1,3,1]=>[3,1,1,1,1,1] [.,[[[.,[.,[.,.]]],.],[[.,.],.]]]=>[7,8,4,3,2,5,6,1]=>[2,1,1,3,1]=>[3,2,1,1,1] [.,[[[.,[[.,.],.]],.],[[.,.],.]]]=>[7,8,3,4,2,5,6,1]=>[2,2,3,1]=>[3,2,2,1] [.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[7,8,3,2,4,5,6,1]=>[2,1,4,1]=>[4,2,1,1] [.,[[.,[.,[.,[.,[.,.]]]]],[.,.]]]=>[8,6,5,4,3,2,7,1]=>[1,1,1,1,1,2,1]=>[2,1,1,1,1,1,1] [.,[[.,[[.,.],[[.,.],.]]],[.,.]]]=>[8,5,6,3,4,2,7,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[.,[[.,[.,.]],[.,.]]],[.,.]]]=>[8,6,4,3,5,2,7,1]=>[1,1,1,2,2,1]=>[2,2,1,1,1,1] [.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[8,6,3,4,5,2,7,1]=>[1,1,3,2,1]=>[3,2,1,1,1] [.,[[.,[[.,[.,[.,.]]],.]],[.,.]]]=>[8,5,4,3,6,2,7,1]=>[1,1,1,2,2,1]=>[2,2,1,1,1,1] [.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[8,4,5,3,6,2,7,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[.,[[[.,[.,.]],.],.]],[.,.]]]=>[8,4,3,5,6,2,7,1]=>[1,1,3,2,1]=>[3,2,1,1,1] [.,[[[.,.],[.,[[.,.],.]]],[.,.]]]=>[8,5,6,4,2,3,7,1]=>[1,2,1,3,1]=>[3,2,1,1,1] [.,[[[.,.],[[.,.],[.,.]]],[.,.]]]=>[8,6,4,5,2,3,7,1]=>[1,1,2,3,1]=>[3,2,1,1,1] [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[8,6,4,2,3,5,7,1]=>[1,1,1,4,1]=>[4,1,1,1,1] [.,[[[.,[.,[.,[.,.]]]],.],[.,.]]]=>[8,5,4,3,2,6,7,1]=>[1,1,1,1,3,1]=>[3,1,1,1,1,1] [.,[[[.,[[.,.],[.,.]]],.],[.,.]]]=>[8,5,3,4,2,6,7,1]=>[1,1,2,3,1]=>[3,2,1,1,1] [.,[[[.,[[[.,.],.],.]],.],[.,.]]]=>[8,3,4,5,2,6,7,1]=>[1,3,3,1]=>[3,3,1,1] [.,[[[[.,.],[.,[.,.]]],.],[.,.]]]=>[8,5,4,2,3,6,7,1]=>[1,1,1,4,1]=>[4,1,1,1,1] [.,[[[[.,.],[[.,.],.]],.],[.,.]]]=>[8,4,5,2,3,6,7,1]=>[1,2,4,1]=>[4,2,1,1] [.,[[[[[.,.],.],[.,.]],.],[.,.]]]=>[8,5,2,3,4,6,7,1]=>[1,1,5,1]=>[5,1,1,1] [.,[[[[.,[.,[.,.]]],.],.],[.,.]]]=>[8,4,3,2,5,6,7,1]=>[1,1,1,4,1]=>[4,1,1,1,1] [.,[[[[.,[[.,.],.]],.],.],[.,.]]]=>[8,3,4,2,5,6,7,1]=>[1,2,4,1]=>[4,2,1,1] [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>[1,1,1,1,1,2,1]=>[2,1,1,1,1,1,1] [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[6,7,5,4,3,2,8,1]=>[2,1,1,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>[1,2,1,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[.,[.,[[[.,.],.],.]]]],.]]=>[5,6,7,4,3,2,8,1]=>[3,1,1,2,1]=>[3,2,1,1,1] [.,[[.,[.,[[.,.],[.,[.,.]]]]],.]]=>[7,6,4,5,3,2,8,1]=>[1,1,2,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[.,[[.,[.,.]],[.,.]]]],.]]=>[7,5,4,6,3,2,8,1]=>[1,1,2,1,2,1]=>[2,2,1,1,1,1] [.,[[.,[.,[[[.,.],.],[.,.]]]],.]]=>[7,4,5,6,3,2,8,1]=>[1,3,1,2,1]=>[3,2,1,1,1] [.,[[.,[.,[[.,[[.,.],.]],.]]],.]]=>[5,6,4,7,3,2,8,1]=>[2,2,1,2,1]=>[2,2,2,1,1] [.,[[.,[.,[[[.,.],[.,.]],.]]],.]]=>[6,4,5,7,3,2,8,1]=>[1,3,1,2,1]=>[3,2,1,1,1] [.,[[.,[.,[[[.,[.,.]],.],.]]],.]]=>[5,4,6,7,3,2,8,1]=>[1,3,1,2,1]=>[3,2,1,1,1] [.,[[.,[.,[[[[.,.],.],.],.]]],.]]=>[4,5,6,7,3,2,8,1]=>[4,1,2,1]=>[4,2,1,1] [.,[[.,[[.,.],[[.,.],[.,.]]]],.]]=>[7,5,6,3,4,2,8,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[.,[[.,.],[[.,[.,.]],.]]],.]]=>[6,5,7,3,4,2,8,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[.,[[.,[.,.]],[.,[.,.]]]],.]]=>[7,6,4,3,5,2,8,1]=>[1,1,1,2,2,1]=>[2,2,1,1,1,1] [.,[[.,[[.,[.,[.,.]]],[.,.]]],.]]=>[7,5,4,3,6,2,8,1]=>[1,1,1,2,2,1]=>[2,2,1,1,1,1] [.,[[.,[[.,[[.,.],.]],[.,.]]],.]]=>[7,4,5,3,6,2,8,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[1,1,1,2,2,1]=>[2,2,1,1,1,1] [.,[[.,[[.,[.,[[.,.],.]]],.]],.]]=>[5,6,4,3,7,2,8,1]=>[2,1,2,2,1]=>[2,2,2,1,1] [.,[[.,[[.,[[.,.],[.,.]]],.]],.]]=>[6,4,5,3,7,2,8,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[1,2,2,2,1]=>[2,2,2,1,1] [.,[[.,[[.,[[[.,.],.],.]],.]],.]]=>[4,5,6,3,7,2,8,1]=>[3,2,2,1]=>[3,2,2,1] [.,[[.,[[[.,.],[.,[.,.]]],.]],.]]=>[6,5,3,4,7,2,8,1]=>[1,1,3,2,1]=>[3,2,1,1,1] [.,[[.,[[[.,.],[[.,.],.]],.]],.]]=>[5,6,3,4,7,2,8,1]=>[2,3,2,1]=>[3,2,2,1] [.,[[.,[[[.,[.,[.,.]]],.],.]],.]]=>[5,4,3,6,7,2,8,1]=>[1,1,3,2,1]=>[3,2,1,1,1] [.,[[.,[[[[.,.],[.,.]],.],.]],.]]=>[5,3,4,6,7,2,8,1]=>[1,4,2,1]=>[4,2,1,1] [.,[[[.,.],[.,[.,[[.,.],.]]]],.]]=>[6,7,5,4,2,3,8,1]=>[2,1,1,3,1]=>[3,2,1,1,1] [.,[[[.,.],[.,[[.,.],[.,.]]]],.]]=>[7,5,6,4,2,3,8,1]=>[1,2,1,3,1]=>[3,2,1,1,1] [.,[[[.,.],[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,2,3,8,1]=>[1,2,1,3,1]=>[3,2,1,1,1] [.,[[[.,.],[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,2,3,8,1]=>[3,1,3,1]=>[3,3,1,1] [.,[[[.,.],[[.,.],[.,[.,.]]]],.]]=>[7,6,4,5,2,3,8,1]=>[1,1,2,3,1]=>[3,2,1,1,1] [.,[[[.,.],[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,2,3,8,1]=>[2,2,3,1]=>[3,2,2,1] [.,[[[.,.],[[.,[.,.]],[.,.]]],.]]=>[7,5,4,6,2,3,8,1]=>[1,1,2,3,1]=>[3,2,1,1,1] [.,[[[.,.],[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,2,3,8,1]=>[1,3,3,1]=>[3,3,1,1] [.,[[[.,.],[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,2,3,8,1]=>[1,1,2,3,1]=>[3,2,1,1,1] [.,[[[.,.],[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,2,3,8,1]=>[2,2,3,1]=>[3,2,2,1] [.,[[[.,.],[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,2,3,8,1]=>[1,3,3,1]=>[3,3,1,1] [.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,2,3,8,1]=>[1,3,3,1]=>[3,3,1,1] [.,[[[.,.],[[[[.,.],.],.],.]],.]]=>[4,5,6,7,2,3,8,1]=>[4,3,1]=>[4,3,1] [.,[[[.,[.,.]],[.,[[.,.],.]]],.]]=>[6,7,5,3,2,4,8,1]=>[2,1,1,3,1]=>[3,2,1,1,1] [.,[[[.,[.,.]],[[.,[.,.]],.]],.]]=>[6,5,7,3,2,4,8,1]=>[1,2,1,3,1]=>[3,2,1,1,1] [.,[[[[.,.],.],[.,[.,[.,.]]]],.]]=>[7,6,5,2,3,4,8,1]=>[1,1,1,4,1]=>[4,1,1,1,1] [.,[[[[.,.],.],[[[.,.],.],.]],.]]=>[5,6,7,2,3,4,8,1]=>[3,4,1]=>[4,3,1] [.,[[[.,[.,[.,.]]],[.,[.,.]]],.]]=>[7,6,4,3,2,5,8,1]=>[1,1,1,1,3,1]=>[3,1,1,1,1,1] [.,[[[.,[.,[.,.]]],[[.,.],.]],.]]=>[6,7,4,3,2,5,8,1]=>[2,1,1,3,1]=>[3,2,1,1,1] [.,[[[.,[[.,.],.]],[.,[.,.]]],.]]=>[7,6,3,4,2,5,8,1]=>[1,1,2,3,1]=>[3,2,1,1,1] [.,[[[[.,.],[.,.]],[.,[.,.]]],.]]=>[7,6,4,2,3,5,8,1]=>[1,1,1,4,1]=>[4,1,1,1,1] [.,[[[[.,.],[.,.]],[[.,.],.]],.]]=>[6,7,4,2,3,5,8,1]=>[2,1,4,1]=>[4,2,1,1] [.,[[[[.,[.,.]],.],[.,[.,.]]],.]]=>[7,6,3,2,4,5,8,1]=>[1,1,1,4,1]=>[4,1,1,1,1] [.,[[[[.,[.,.]],.],[[.,.],.]],.]]=>[6,7,3,2,4,5,8,1]=>[2,1,4,1]=>[4,2,1,1] [.,[[[[[.,.],.],.],[.,[.,.]]],.]]=>[7,6,2,3,4,5,8,1]=>[1,1,5,1]=>[5,1,1,1] [.,[[[[[.,.],.],.],[[.,.],.]],.]]=>[6,7,2,3,4,5,8,1]=>[2,5,1]=>[5,2,1] [.,[[[.,[.,[.,[.,.]]]],[.,.]],.]]=>[7,5,4,3,2,6,8,1]=>[1,1,1,1,3,1]=>[3,1,1,1,1,1] [.,[[[.,[[[.,.],.],.]],[.,.]],.]]=>[7,3,4,5,2,6,8,1]=>[1,3,3,1]=>[3,3,1,1] [.,[[[[.,.],[.,[.,.]]],[.,.]],.]]=>[7,5,4,2,3,6,8,1]=>[1,1,1,4,1]=>[4,1,1,1,1] [.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[7,5,3,2,4,6,8,1]=>[1,1,1,4,1]=>[4,1,1,1,1] [.,[[[[[.,.],.],[.,.]],[.,.]],.]]=>[7,5,2,3,4,6,8,1]=>[1,1,5,1]=>[5,1,1,1] [.,[[[.,[.,[.,[.,[.,.]]]]],.],.]]=>[6,5,4,3,2,7,8,1]=>[1,1,1,1,3,1]=>[3,1,1,1,1,1] [.,[[[.,[.,[[.,[.,.]],.]]],.],.]]=>[5,4,6,3,2,7,8,1]=>[1,2,1,3,1]=>[3,2,1,1,1] [.,[[[.,[[.,.],[[.,.],.]]],.],.]]=>[5,6,3,4,2,7,8,1]=>[2,2,3,1]=>[3,2,2,1] [.,[[[.,[[[.,.],.],[.,.]]],.],.]]=>[6,3,4,5,2,7,8,1]=>[1,3,3,1]=>[3,3,1,1] [.,[[[.,[[.,[.,[.,.]]],.]],.],.]]=>[5,4,3,6,2,7,8,1]=>[1,1,2,3,1]=>[3,2,1,1,1] [.,[[[.,[[[[.,.],.],.],.]],.],.]]=>[3,4,5,6,2,7,8,1]=>[4,3,1]=>[4,3,1] [.,[[[[.,.],[.,[.,[.,.]]]],.],.]]=>[6,5,4,2,3,7,8,1]=>[1,1,1,4,1]=>[4,1,1,1,1] [.,[[[[.,.],[.,[[.,.],.]]],.],.]]=>[5,6,4,2,3,7,8,1]=>[2,1,4,1]=>[4,2,1,1] [.,[[[[.,.],[[.,.],[.,.]]],.],.]]=>[6,4,5,2,3,7,8,1]=>[1,2,4,1]=>[4,2,1,1] [.,[[[[.,.],[[.,[.,.]],.]],.],.]]=>[5,4,6,2,3,7,8,1]=>[1,2,4,1]=>[4,2,1,1] [.,[[[[.,.],[[[.,.],.],.]],.],.]]=>[4,5,6,2,3,7,8,1]=>[3,4,1]=>[4,3,1] [.,[[[[.,[.,.]],[.,[.,.]]],.],.]]=>[6,5,3,2,4,7,8,1]=>[1,1,1,4,1]=>[4,1,1,1,1] [.,[[[[[.,.],.],[.,[.,.]]],.],.]]=>[6,5,2,3,4,7,8,1]=>[1,1,5,1]=>[5,1,1,1] [.,[[[[[.,.],[.,.]],[.,.]],.],.]]=>[6,4,2,3,5,7,8,1]=>[1,1,5,1]=>[5,1,1,1] [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[1,1,1,4,1]=>[4,1,1,1,1] [.,[[[[.,[.,[[.,.],.]]],.],.],.]]=>[4,5,3,2,6,7,8,1]=>[2,1,4,1]=>[4,2,1,1] [.,[[[[.,[[.,.],[.,.]]],.],.],.]]=>[5,3,4,2,6,7,8,1]=>[1,2,4,1]=>[4,2,1,1] [.,[[[[.,[[.,[.,.]],.]],.],.],.]]=>[4,3,5,2,6,7,8,1]=>[1,2,4,1]=>[4,2,1,1] [.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[3,4,5,2,6,7,8,1]=>[3,4,1]=>[4,3,1] [.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[5,4,2,3,6,7,8,1]=>[1,1,5,1]=>[5,1,1,1] [.,[[[[[.,.],[[.,.],.]],.],.],.]]=>[4,5,2,3,6,7,8,1]=>[2,5,1]=>[5,2,1] [.,[[[[[.,[.,.]],[.,.]],.],.],.]]=>[5,3,2,4,6,7,8,1]=>[1,1,5,1]=>[5,1,1,1] [.,[[[[[[.,.],.],[.,.]],.],.],.]]=>[5,2,3,4,6,7,8,1]=>[1,6,1]=>[6,1,1] [.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[1,1,5,1]=>[5,1,1,1] [.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[2,5,1]=>[5,2,1] [.,[[[[[[.,.],[.,.]],.],.],.],.]]=>[4,2,3,5,6,7,8,1]=>[1,6,1]=>[6,1,1] [.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[1,6,1]=>[6,1,1] [.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[7,1]=>[7,1] [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1] [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,3,1,2]=>[2,1,1,1,1,2]=>[2,2,1,1,1,1] [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[6,7,8,5,4,3,1,2]=>[3,1,1,1,2]=>[3,2,1,1,1] [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,3,1,2]=>[1,1,2,1,1,2]=>[2,2,1,1,1,1] [[.,.],[.,[.,[[.,.],[[.,.],.]]]]]=>[7,8,5,6,4,3,1,2]=>[2,2,1,1,2]=>[2,2,2,1,1] [[.,.],[.,[.,[[.,[.,.]],[.,.]]]]]=>[8,6,5,7,4,3,1,2]=>[1,1,2,1,1,2]=>[2,2,1,1,1,1] [[.,.],[.,[.,[[[.,.],.],[.,.]]]]]=>[8,5,6,7,4,3,1,2]=>[1,3,1,1,2]=>[3,2,1,1,1] [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,3,1,2]=>[1,1,2,1,1,2]=>[2,2,1,1,1,1] [[.,.],[.,[.,[[.,[[.,.],.]],.]]]]=>[6,7,5,8,4,3,1,2]=>[2,2,1,1,2]=>[2,2,2,1,1] [[.,.],[.,[.,[[[.,.],[.,.]],.]]]]=>[7,5,6,8,4,3,1,2]=>[1,3,1,1,2]=>[3,2,1,1,1] [[.,.],[.,[.,[[[.,[.,.]],.],.]]]]=>[6,5,7,8,4,3,1,2]=>[1,3,1,1,2]=>[3,2,1,1,1] [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[4,1,1,2]=>[4,2,1,1] [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,3,1,2]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[2,1,2,1,2]=>[2,2,2,1,1] [[.,.],[.,[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,3,1,2]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,.],[.,[[.,.],[[[.,.],.],.]]]]=>[6,7,8,4,5,3,1,2]=>[3,2,1,2]=>[3,2,2,1] [[.,.],[.,[[.,[.,.]],[.,[.,.]]]]]=>[8,7,5,4,6,3,1,2]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,.],[.,[[[.,.],.],[.,[.,.]]]]]=>[8,7,4,5,6,3,1,2]=>[1,1,3,1,2]=>[3,2,1,1,1] [[.,.],[.,[[[.,.],.],[[.,.],.]]]]=>[7,8,4,5,6,3,1,2]=>[2,3,1,2]=>[3,2,2,1] [[.,.],[.,[[.,[[.,.],.]],[.,.]]]]=>[8,5,6,4,7,3,1,2]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,.],[.,[[[.,.],[.,.]],[.,.]]]]=>[8,6,4,5,7,3,1,2]=>[1,1,3,1,2]=>[3,2,1,1,1] [[.,.],[.,[[[.,[.,.]],.],[.,.]]]]=>[8,5,4,6,7,3,1,2]=>[1,1,3,1,2]=>[3,2,1,1,1] [[.,.],[.,[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,3,1,2]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,.],[.,[[.,[[.,.],[.,.]]],.]]]=>[7,5,6,4,8,3,1,2]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,.],[.,[[.,[[.,[.,.]],.]],.]]]=>[6,5,7,4,8,3,1,2]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,.],[.,[[[.,.],[.,[.,.]]],.]]]=>[7,6,4,5,8,3,1,2]=>[1,1,3,1,2]=>[3,2,1,1,1] [[.,.],[.,[[[.,.],[[.,.],.]],.]]]=>[6,7,4,5,8,3,1,2]=>[2,3,1,2]=>[3,2,2,1] [[.,.],[.,[[[.,[.,.]],[.,.]],.]]]=>[7,5,4,6,8,3,1,2]=>[1,1,3,1,2]=>[3,2,1,1,1] [[.,.],[.,[[[[.,.],.],[.,.]],.]]]=>[7,4,5,6,8,3,1,2]=>[1,4,1,2]=>[4,2,1,1] [[.,.],[.,[[[.,[[.,.],.]],.],.]]]=>[5,6,4,7,8,3,1,2]=>[2,3,1,2]=>[3,2,2,1] [[.,.],[.,[[[[.,.],[.,.]],.],.]]]=>[6,4,5,7,8,3,1,2]=>[1,4,1,2]=>[4,2,1,1] [[.,.],[.,[[[[.,[.,.]],.],.],.]]]=>[5,4,6,7,8,3,1,2]=>[1,4,1,2]=>[4,2,1,1] [[.,.],[.,[[[[[.,.],.],.],.],.]]]=>[4,5,6,7,8,3,1,2]=>[5,1,2]=>[5,2,1] [[.,.],[[.,.],[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,3,4,1,2]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,.],[[.,.],[.,[.,[[.,.],.]]]]]=>[7,8,6,5,3,4,1,2]=>[2,1,1,2,2]=>[2,2,2,1,1] [[.,.],[[.,.],[.,[[.,[.,.]],.]]]]=>[7,6,8,5,3,4,1,2]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,.],[[.,.],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,4,1,2]=>[3,1,2,2]=>[3,2,2,1] [[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,4,1,2]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[2,2,2,2]=>[2,2,2,2] [[.,.],[[.,.],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,4,1,2]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,.],[[.,.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,3,4,1,2]=>[1,3,2,2]=>[3,2,2,1] [[.,.],[[.,.],[[.,[.,[.,.]]],.]]]=>[7,6,5,8,3,4,1,2]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,.],[[.,.],[[.,[[.,.],.]],.]]]=>[6,7,5,8,3,4,1,2]=>[2,2,2,2]=>[2,2,2,2] [[.,.],[[.,.],[[[.,.],[.,.]],.]]]=>[7,5,6,8,3,4,1,2]=>[1,3,2,2]=>[3,2,2,1] [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[1,3,2,2]=>[3,2,2,1] [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[4,2,2]=>[4,2,2] [[.,.],[[.,[.,.]],[.,[.,[.,.]]]]]=>[8,7,6,4,3,5,1,2]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,.],[[.,[.,.]],[.,[[.,.],.]]]]=>[7,8,6,4,3,5,1,2]=>[2,1,1,2,2]=>[2,2,2,1,1] [[.,.],[[.,[.,.]],[[.,.],[.,.]]]]=>[8,6,7,4,3,5,1,2]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,.],[[.,[.,.]],[[.,[.,.]],.]]]=>[7,6,8,4,3,5,1,2]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,.],[[.,[.,.]],[[[.,.],.],.]]]=>[6,7,8,4,3,5,1,2]=>[3,1,2,2]=>[3,2,2,1] [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[8,7,6,3,4,5,1,2]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,.],[[[.,.],.],[.,[[.,.],.]]]]=>[7,8,6,3,4,5,1,2]=>[2,1,3,2]=>[3,2,2,1] [[.,.],[[[.,.],.],[[.,.],[.,.]]]]=>[8,6,7,3,4,5,1,2]=>[1,2,3,2]=>[3,2,2,1] [[.,.],[[[.,.],.],[[.,[.,.]],.]]]=>[7,6,8,3,4,5,1,2]=>[1,2,3,2]=>[3,2,2,1] [[.,.],[[.,[.,[.,.]]],[.,[.,.]]]]=>[8,7,5,4,3,6,1,2]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,.],[[.,[.,[.,.]]],[[.,.],.]]]=>[7,8,5,4,3,6,1,2]=>[2,1,1,2,2]=>[2,2,2,1,1] [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[8,7,4,5,3,6,1,2]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,.],[[.,[[.,.],.]],[[.,.],.]]]=>[7,8,4,5,3,6,1,2]=>[2,2,2,2]=>[2,2,2,2] [[.,.],[[[.,.],[.,.]],[.,[.,.]]]]=>[8,7,5,3,4,6,1,2]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,.],[[[.,.],[.,.]],[[.,.],.]]]=>[7,8,5,3,4,6,1,2]=>[2,1,3,2]=>[3,2,2,1] [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[8,7,4,3,5,6,1,2]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[2,1,3,2]=>[3,2,2,1] [[.,.],[[[[.,.],.],.],[.,[.,.]]]]=>[8,7,3,4,5,6,1,2]=>[1,1,4,2]=>[4,2,1,1] [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>[2,4,2]=>[4,2,2] [[.,.],[[[.,.],[[.,.],.]],[.,.]]]=>[8,5,6,3,4,7,1,2]=>[1,2,3,2]=>[3,2,2,1] [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[8,6,4,3,5,7,1,2]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,.],[[[.,[.,[.,.]]],.],[.,.]]]=>[8,5,4,3,6,7,1,2]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,.],[[[[.,.],[.,.]],.],[.,.]]]=>[8,5,3,4,6,7,1,2]=>[1,1,4,2]=>[4,2,1,1] [[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[8,4,3,5,6,7,1,2]=>[1,1,4,2]=>[4,2,1,1] [[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[8,3,4,5,6,7,1,2]=>[1,5,2]=>[5,2,1] [[.,.],[[.,[.,[.,[.,[.,.]]]]],.]]=>[7,6,5,4,3,8,1,2]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,.],[[.,[.,[[.,[.,.]],.]]],.]]=>[6,5,7,4,3,8,1,2]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,.],[[.,[.,[[[.,.],.],.]]],.]]=>[5,6,7,4,3,8,1,2]=>[3,1,2,2]=>[3,2,2,1] [[.,.],[[.,[[.,.],[.,[.,.]]]],.]]=>[7,6,4,5,3,8,1,2]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,.],[[.,[[.,.],[[.,.],.]]],.]]=>[6,7,4,5,3,8,1,2]=>[2,2,2,2]=>[2,2,2,2] [[.,.],[[.,[[[.,.],.],[.,.]]],.]]=>[7,4,5,6,3,8,1,2]=>[1,3,2,2]=>[3,2,2,1] [[.,.],[[.,[[.,[.,[.,.]]],.]],.]]=>[6,5,4,7,3,8,1,2]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,.],[[.,[[.,[[.,.],.]],.]],.]]=>[5,6,4,7,3,8,1,2]=>[2,2,2,2]=>[2,2,2,2] [[.,.],[[.,[[[.,.],[.,.]],.]],.]]=>[6,4,5,7,3,8,1,2]=>[1,3,2,2]=>[3,2,2,1] [[.,.],[[.,[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,3,8,1,2]=>[1,3,2,2]=>[3,2,2,1] [[.,.],[[.,[[[[.,.],.],.],.]],.]]=>[4,5,6,7,3,8,1,2]=>[4,2,2]=>[4,2,2] [[.,.],[[[.,.],[.,[[.,.],.]]],.]]=>[6,7,5,3,4,8,1,2]=>[2,1,3,2]=>[3,2,2,1] [[.,.],[[[.,.],[[.,.],[.,.]]],.]]=>[7,5,6,3,4,8,1,2]=>[1,2,3,2]=>[3,2,2,1] [[.,.],[[[.,.],[[.,[.,.]],.]],.]]=>[6,5,7,3,4,8,1,2]=>[1,2,3,2]=>[3,2,2,1] [[.,.],[[[.,[.,.]],[[.,.],.]],.]]=>[6,7,4,3,5,8,1,2]=>[2,1,3,2]=>[3,2,2,1] [[.,.],[[[[.,.],.],[.,[.,.]]],.]]=>[7,6,3,4,5,8,1,2]=>[1,1,4,2]=>[4,2,1,1] [[.,.],[[[.,[.,[.,.]]],[.,.]],.]]=>[7,5,4,3,6,8,1,2]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,.],[[[[.,.],[.,.]],[.,.]],.]]=>[7,5,3,4,6,8,1,2]=>[1,1,4,2]=>[4,2,1,1] [[.,.],[[[[[.,.],.],.],[.,.]],.]]=>[7,3,4,5,6,8,1,2]=>[1,5,2]=>[5,2,1] [[.,.],[[[.,[.,[.,[.,.]]]],.],.]]=>[6,5,4,3,7,8,1,2]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,.],[[[.,[[.,[.,.]],.]],.],.]]=>[5,4,6,3,7,8,1,2]=>[1,2,3,2]=>[3,2,2,1] [[.,.],[[[.,[[[.,.],.],.]],.],.]]=>[4,5,6,3,7,8,1,2]=>[3,3,2]=>[3,3,2] [[.,.],[[[[.,.],[[.,.],.]],.],.]]=>[5,6,3,4,7,8,1,2]=>[2,4,2]=>[4,2,2] [[.,.],[[[[.,[.,.]],[.,.]],.],.]]=>[6,4,3,5,7,8,1,2]=>[1,1,4,2]=>[4,2,1,1] [[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[6,3,4,5,7,8,1,2]=>[1,5,2]=>[5,2,1] [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[1,1,4,2]=>[4,2,1,1] [[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[4,5,3,6,7,8,1,2]=>[2,4,2]=>[4,2,2] [[.,.],[[[[[.,.],[.,.]],.],.],.]]=>[5,3,4,6,7,8,1,2]=>[1,5,2]=>[5,2,1] [[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[4,3,5,6,7,8,1,2]=>[1,5,2]=>[5,2,1] [[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[6,2]=>[6,2] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1] [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[8,6,7,5,4,2,1,3]=>[1,2,1,1,1,2]=>[2,2,1,1,1,1] [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[1,2,1,1,1,2]=>[2,2,1,1,1,1] [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,2,1,3]=>[3,1,1,1,2]=>[3,2,1,1,1] [[.,[.,.]],[.,[[.,.],[.,[.,.]]]]]=>[8,7,5,6,4,2,1,3]=>[1,1,2,1,1,2]=>[2,2,1,1,1,1] [[.,[.,.]],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,2,1,3]=>[2,2,1,1,2]=>[2,2,2,1,1] [[.,[.,.]],[.,[[.,[.,.]],[.,.]]]]=>[8,6,5,7,4,2,1,3]=>[1,1,2,1,1,2]=>[2,2,1,1,1,1] [[.,[.,.]],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,2,1,3]=>[1,3,1,1,2]=>[3,2,1,1,1] [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,2,1,3]=>[1,1,2,1,1,2]=>[2,2,1,1,1,1] [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,2,1,3]=>[2,2,1,1,2]=>[2,2,2,1,1] [[.,[.,.]],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,2,1,3]=>[1,3,1,1,2]=>[3,2,1,1,1] [[.,[.,.]],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,2,1,3]=>[1,3,1,1,2]=>[3,2,1,1,1] [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[4,1,1,2]=>[4,2,1,1] [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,2,1,3]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,[.,.]],[[.,.],[.,[[.,.],.]]]]=>[7,8,6,4,5,2,1,3]=>[2,1,2,1,2]=>[2,2,2,1,1] [[.,[.,.]],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,2,1,3]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[7,6,8,4,5,2,1,3]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,[.,.]],[[.,.],[[[.,.],.],.]]]=>[6,7,8,4,5,2,1,3]=>[3,2,1,2]=>[3,2,2,1] [[.,[.,.]],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,2,1,3]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,[.,.]],[[.,[.,.]],[[.,.],.]]]=>[7,8,5,4,6,2,1,3]=>[2,1,2,1,2]=>[2,2,2,1,1] [[.,[.,.]],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,2,1,3]=>[1,1,3,1,2]=>[3,2,1,1,1] [[.,[.,.]],[[[.,.],.],[[.,.],.]]]=>[7,8,4,5,6,2,1,3]=>[2,3,1,2]=>[3,2,2,1] [[.,[.,.]],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,2,1,3]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,[.,.]],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,2,1,3]=>[1,1,3,1,2]=>[3,2,1,1,1] [[.,[.,.]],[[[.,[.,.]],.],[.,.]]]=>[8,5,4,6,7,2,1,3]=>[1,1,3,1,2]=>[3,2,1,1,1] [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,2,1,3]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,2,1,3]=>[2,1,2,1,2]=>[2,2,2,1,1] [[.,[.,.]],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,2,1,3]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,[.,.]],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,2,1,3]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,[.,.]],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,2,1,3]=>[3,2,1,2]=>[3,2,2,1] [[.,[.,.]],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,2,1,3]=>[1,1,3,1,2]=>[3,2,1,1,1] [[.,[.,.]],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,2,1,3]=>[2,3,1,2]=>[3,2,2,1] [[.,[.,.]],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,2,1,3]=>[1,1,3,1,2]=>[3,2,1,1,1] [[.,[.,.]],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,2,1,3]=>[1,4,1,2]=>[4,2,1,1] [[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,2,1,3]=>[5,1,2]=>[5,2,1] [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,1,2,3]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,.],.],[.,[.,[.,[[.,.],.]]]]]=>[7,8,6,5,4,1,2,3]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,.],.],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,1,2,3]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[3,1,1,3]=>[3,3,1,1] [[[.,.],.],[.,[[.,.],[[.,.],.]]]]=>[7,8,5,6,4,1,2,3]=>[2,2,1,3]=>[3,2,2,1] [[[.,.],.],[.,[[.,[.,.]],[.,.]]]]=>[8,6,5,7,4,1,2,3]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,1,2,3]=>[1,3,1,3]=>[3,3,1,1] [[[.,.],.],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,1,2,3]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,.],.],[.,[[.,[[.,.],.]],.]]]=>[6,7,5,8,4,1,2,3]=>[2,2,1,3]=>[3,2,2,1] [[[.,.],.],[.,[[[.,.],[.,.]],.]]]=>[7,5,6,8,4,1,2,3]=>[1,3,1,3]=>[3,3,1,1] [[[.,.],.],[.,[[[.,[.,.]],.],.]]]=>[6,5,7,8,4,1,2,3]=>[1,3,1,3]=>[3,3,1,1] [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[4,1,3]=>[4,3,1] [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,1,2,3]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,.],.],[[.,.],[.,[[.,.],.]]]]=>[7,8,6,4,5,1,2,3]=>[2,1,2,3]=>[3,2,2,1] [[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,1,2,3]=>[1,2,2,3]=>[3,2,2,1] [[[.,.],.],[[.,[.,.]],[.,[.,.]]]]=>[8,7,5,4,6,1,2,3]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,.],.],[[.,[.,.]],[[.,.],.]]]=>[7,8,5,4,6,1,2,3]=>[2,1,2,3]=>[3,2,2,1] [[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,1,2,3]=>[1,1,3,3]=>[3,3,1,1] [[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[7,8,4,5,6,1,2,3]=>[2,3,3]=>[3,3,2] [[[.,.],.],[[.,[.,[.,.]]],[.,.]]]=>[8,6,5,4,7,1,2,3]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,.],.],[[.,[[.,.],.]],[.,.]]]=>[8,5,6,4,7,1,2,3]=>[1,2,2,3]=>[3,2,2,1] [[[.,.],.],[[[.,.],[.,.]],[.,.]]]=>[8,6,4,5,7,1,2,3]=>[1,1,3,3]=>[3,3,1,1] [[[.,.],.],[[[.,[.,.]],.],[.,.]]]=>[8,5,4,6,7,1,2,3]=>[1,1,3,3]=>[3,3,1,1] [[[.,.],.],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,1,2,3]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,.],.],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,1,2,3]=>[2,1,2,3]=>[3,2,2,1] [[[.,.],.],[[.,[[.,.],[.,.]]],.]]=>[7,5,6,4,8,1,2,3]=>[1,2,2,3]=>[3,2,2,1] [[[.,.],.],[[.,[[.,[.,.]],.]],.]]=>[6,5,7,4,8,1,2,3]=>[1,2,2,3]=>[3,2,2,1] [[[.,.],.],[[.,[[[.,.],.],.]],.]]=>[5,6,7,4,8,1,2,3]=>[3,2,3]=>[3,3,2] [[[.,.],.],[[[.,.],[.,[.,.]]],.]]=>[7,6,4,5,8,1,2,3]=>[1,1,3,3]=>[3,3,1,1] [[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,1,2,3]=>[2,3,3]=>[3,3,2] [[[.,.],.],[[[.,[.,.]],[.,.]],.]]=>[7,5,4,6,8,1,2,3]=>[1,1,3,3]=>[3,3,1,1] [[[.,.],.],[[[[.,.],.],[.,.]],.]]=>[7,4,5,6,8,1,2,3]=>[1,4,3]=>[4,3,1] [[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[1,1,3,3]=>[3,3,1,1] [[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,1,2,3]=>[2,3,3]=>[3,3,2] [[[.,.],.],[[[[.,.],[.,.]],.],.]]=>[6,4,5,7,8,1,2,3]=>[1,4,3]=>[4,3,1] [[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,1,2,3]=>[1,4,3]=>[4,3,1] [[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[5,3]=>[5,3] [[.,[.,[.,.]]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,2,1,4]=>[1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1] [[.,[.,[.,.]]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,2,1,4]=>[2,1,1,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,.]]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,2,1,4]=>[1,2,1,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,2,1,4]=>[1,2,1,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,2,1,4]=>[3,1,1,1,2]=>[3,2,1,1,1] [[.,[.,[.,.]]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,2,1,4]=>[1,1,2,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,.]]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,2,1,4]=>[2,2,1,1,2]=>[2,2,2,1,1] [[.,[.,[.,.]]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,2,1,4]=>[1,1,2,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,.]]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,2,1,4]=>[1,3,1,1,2]=>[3,2,1,1,1] [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[1,1,2,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,.]]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,2,1,4]=>[2,2,1,1,2]=>[2,2,2,1,1] [[.,[.,[.,.]]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,2,1,4]=>[1,3,1,1,2]=>[3,2,1,1,1] [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,2,1,4]=>[1,3,1,1,2]=>[3,2,1,1,1] [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[4,1,1,2]=>[4,2,1,1] [[.,[[.,.],.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,3,1,4]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[.,.],.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,3,1,4]=>[2,1,1,2,2]=>[2,2,2,1,1] [[.,[[.,.],.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,3,1,4]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,[[.,.],.]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,3,1,4]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,[[.,.],.]],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,3,1,4]=>[3,1,2,2]=>[3,2,2,1] [[.,[[.,.],.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,3,1,4]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,[[.,.],.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,3,1,4]=>[2,2,2,2]=>[2,2,2,2] [[.,[[.,.],.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,3,1,4]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,[[.,.],.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,3,1,4]=>[1,3,2,2]=>[3,2,2,1] [[.,[[.,.],.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,3,1,4]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,[[.,.],.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,3,1,4]=>[2,2,2,2]=>[2,2,2,2] [[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[1,3,2,2]=>[3,2,2,1] [[.,[[.,.],.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,3,1,4]=>[1,3,2,2]=>[3,2,2,1] [[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[4,2,2]=>[4,2,2] [[[.,.],[.,.]],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,3,1,2,4]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,.],[.,.]],[.,[.,[[.,.],.]]]]=>[7,8,6,5,3,1,2,4]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,.],[.,.]],[.,[[.,.],[.,.]]]]=>[8,6,7,5,3,1,2,4]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,.],[.,.]],[[.,.],[.,[.,.]]]]=>[8,7,5,6,3,1,2,4]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,.],[.,.]],[[.,.],[[.,.],.]]]=>[7,8,5,6,3,1,2,4]=>[2,2,1,3]=>[3,2,2,1] [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,1,2,4]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,.],[.,.]],[[[.,.],.],[.,.]]]=>[8,5,6,7,3,1,2,4]=>[1,3,1,3]=>[3,3,1,1] [[[.,.],[.,.]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,1,2,4]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[2,2,1,3]=>[3,2,2,1] [[[.,.],[.,.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,3,1,2,4]=>[1,3,1,3]=>[3,3,1,1] [[[.,.],[.,.]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,1,2,4]=>[1,3,1,3]=>[3,3,1,1] [[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[4,1,3]=>[4,3,1] [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,1,3,4]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,1,3,4]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,[.,.]],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,2,1,3,4]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,[.,.]],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,2,1,3,4]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,1,3,4]=>[3,1,1,3]=>[3,3,1,1] [[[.,[.,.]],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,2,1,3,4]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[2,2,1,3]=>[3,2,2,1] [[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,1,3,4]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,[.,.]],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,2,1,3,4]=>[1,3,1,3]=>[3,3,1,1] [[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,1,3,4]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,1,3,4]=>[2,2,1,3]=>[3,2,2,1] [[[.,[.,.]],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,1,3,4]=>[1,3,1,3]=>[3,3,1,1] [[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[1,3,1,3]=>[3,3,1,1] [[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[4,1,3]=>[4,3,1] [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[2,1,1,4]=>[4,2,1,1] [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[1,2,1,4]=>[4,2,1,1] [[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[1,2,1,4]=>[4,2,1,1] [[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[3,1,4]=>[4,3,1] [[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[1,1,2,4]=>[4,2,1,1] [[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[2,2,4]=>[4,2,2] [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[1,1,2,4]=>[4,2,1,1] [[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[1,3,4]=>[4,3,1] [[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[1,1,2,4]=>[4,2,1,1] [[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[2,2,4]=>[4,2,2] [[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[1,3,4]=>[4,3,1] [[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[1,3,4]=>[4,3,1] [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[4,4]=>[4,4] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1] [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[7,8,6,4,3,2,1,5]=>[2,1,1,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[8,6,7,4,3,2,1,5]=>[1,2,1,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[7,6,8,4,3,2,1,5]=>[1,2,1,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[6,7,8,4,3,2,1,5]=>[3,1,1,1,2]=>[3,2,1,1,1] [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[8,7,6,3,4,2,1,5]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[7,8,6,3,4,2,1,5]=>[2,1,2,1,2]=>[2,2,2,1,1] [[.,[.,[[.,.],.]]],[[.,.],[.,.]]]=>[8,6,7,3,4,2,1,5]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,[.,[[.,.],.]]],[[[.,.],.],.]]=>[6,7,8,3,4,2,1,5]=>[3,2,1,2]=>[3,2,2,1] [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,2,3,1,5]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[.,.],[.,.]]],[.,[[.,.],.]]]=>[7,8,6,4,2,3,1,5]=>[2,1,1,2,2]=>[2,2,2,1,1] [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[8,6,7,4,2,3,1,5]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,[[.,.],[.,.]]],[[.,[.,.]],.]]=>[7,6,8,4,2,3,1,5]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,[[.,.],[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,2,3,1,5]=>[3,1,2,2]=>[3,2,2,1] [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[8,7,6,3,2,4,1,5]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[.,[.,.]],.]],[[.,.],[.,.]]]=>[8,6,7,3,2,4,1,5]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,[[.,[.,.]],.]],[[.,[.,.]],.]]=>[7,6,8,3,2,4,1,5]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,[[.,[.,.]],.]],[[[.,.],.],.]]=>[6,7,8,3,2,4,1,5]=>[3,1,2,2]=>[3,2,2,1] [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[8,7,6,2,3,4,1,5]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[.,.],.],.]],[[.,[.,.]],.]]=>[7,6,8,2,3,4,1,5]=>[1,2,3,2]=>[3,2,2,1] [[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[3,3,2]=>[3,3,2] [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,1,2,5]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,.],[.,[.,.]]],[.,[[.,.],.]]]=>[7,8,6,4,3,1,2,5]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,.],[.,[.,.]]],[[.,.],[.,.]]]=>[8,6,7,4,3,1,2,5]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,.],[.,[.,.]]],[[[.,.],.],.]]=>[6,7,8,4,3,1,2,5]=>[3,1,1,3]=>[3,3,1,1] [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[8,7,6,3,4,1,2,5]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,.],[[.,.],.]],[.,[[.,.],.]]]=>[7,8,6,3,4,1,2,5]=>[2,1,2,3]=>[3,2,2,1] [[[.,.],[[.,.],.]],[[.,.],[.,.]]]=>[8,6,7,3,4,1,2,5]=>[1,2,2,3]=>[3,2,2,1] [[[.,.],[[.,.],.]],[[[.,.],.],.]]=>[6,7,8,3,4,1,2,5]=>[3,2,3]=>[3,3,2] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,2,1,3,5]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,2,1,3,5]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,[.,.]],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,2,1,3,5]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,[.,.]],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,2,1,3,5]=>[3,1,1,3]=>[3,3,1,1] [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,1,2,3,5]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,.],.],[.,.]],[.,[[.,.],.]]]=>[7,8,6,4,1,2,3,5]=>[2,1,1,4]=>[4,2,1,1] [[[[.,.],.],[.,.]],[[.,.],[.,.]]]=>[8,6,7,4,1,2,3,5]=>[1,2,1,4]=>[4,2,1,1] [[[[.,.],.],[.,.]],[[.,[.,.]],.]]=>[7,6,8,4,1,2,3,5]=>[1,2,1,4]=>[4,2,1,1] [[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[3,1,4]=>[4,3,1] [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[8,7,6,3,2,1,4,5]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,[.,.]]],.],[.,[[.,.],.]]]=>[7,8,6,3,2,1,4,5]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,[.,[.,.]]],.],[[.,.],[.,.]]]=>[8,6,7,3,2,1,4,5]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,[.,[.,.]]],.],[[.,[.,.]],.]]=>[7,6,8,3,2,1,4,5]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,[.,[.,.]]],.],[[[.,.],.],.]]=>[6,7,8,3,2,1,4,5]=>[3,1,1,3]=>[3,3,1,1] [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[8,7,6,2,3,1,4,5]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,[[.,.],.]],.],[.,[[.,.],.]]]=>[7,8,6,2,3,1,4,5]=>[2,1,2,3]=>[3,2,2,1] [[[.,[[.,.],.]],.],[[.,[.,.]],.]]=>[7,6,8,2,3,1,4,5]=>[1,2,2,3]=>[3,2,2,1] [[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[6,7,8,2,3,1,4,5]=>[3,2,3]=>[3,3,2] [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[8,7,6,3,1,2,4,5]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,.],[.,.]],.],[.,[[.,.],.]]]=>[7,8,6,3,1,2,4,5]=>[2,1,1,4]=>[4,2,1,1] [[[[.,.],[.,.]],.],[[.,.],[.,.]]]=>[8,6,7,3,1,2,4,5]=>[1,2,1,4]=>[4,2,1,1] [[[[.,.],[.,.]],.],[[[.,.],.],.]]=>[6,7,8,3,1,2,4,5]=>[3,1,4]=>[4,3,1] [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[8,7,6,2,1,3,4,5]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,[.,.]],.],.],[.,[[.,.],.]]]=>[7,8,6,2,1,3,4,5]=>[2,1,1,4]=>[4,2,1,1] [[[[.,[.,.]],.],.],[[.,.],[.,.]]]=>[8,6,7,2,1,3,4,5]=>[1,2,1,4]=>[4,2,1,1] [[[[.,[.,.]],.],.],[[.,[.,.]],.]]=>[7,6,8,2,1,3,4,5]=>[1,2,1,4]=>[4,2,1,1] [[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[3,1,4]=>[4,3,1] [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[2,1,5]=>[5,2,1] [[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[1,2,5]=>[5,2,1] [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[1,2,5]=>[5,2,1] [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[3,5]=>[5,3] [[.,[.,[.,[.,[.,.]]]]],[.,[.,.]]]=>[8,7,5,4,3,2,1,6]=>[1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1] [[.,[.,[.,[.,[.,.]]]]],[[.,.],.]]=>[7,8,5,4,3,2,1,6]=>[2,1,1,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,[[.,.],.]]]],[.,[.,.]]]=>[8,7,4,5,3,2,1,6]=>[1,1,2,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[[.,.],[.,.]]]],[.,[.,.]]]=>[8,7,5,3,4,2,1,6]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,[.,[[.,[.,.]],.]]],[.,[.,.]]]=>[8,7,4,3,5,2,1,6]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,[.,[[.,[.,.]],.]]],[[.,.],.]]=>[7,8,4,3,5,2,1,6]=>[2,1,2,1,2]=>[2,2,2,1,1] [[.,[.,[[[.,.],.],.]]],[.,[.,.]]]=>[8,7,3,4,5,2,1,6]=>[1,1,3,1,2]=>[3,2,1,1,1] [[.,[.,[[[.,.],.],.]]],[[.,.],.]]=>[7,8,3,4,5,2,1,6]=>[2,3,1,2]=>[3,2,2,1] [[.,[[.,.],[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,2,3,1,6]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[.,.],[[.,.],.]]],[.,[.,.]]]=>[8,7,4,5,2,3,1,6]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,[[.,.],[[.,.],.]]],[[.,.],.]]=>[7,8,4,5,2,3,1,6]=>[2,2,2,2]=>[2,2,2,2] [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[8,7,5,3,2,4,1,6]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[7,8,5,3,2,4,1,6]=>[2,1,1,2,2]=>[2,2,2,1,1] [[.,[[[.,.],.],[.,.]]],[.,[.,.]]]=>[8,7,5,2,3,4,1,6]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[.,.],.],[.,.]]],[[.,.],.]]=>[7,8,5,2,3,4,1,6]=>[2,1,3,2]=>[3,2,2,1] [[.,[[.,[.,[.,.]]],.]],[.,[.,.]]]=>[8,7,4,3,2,5,1,6]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[.,[.,[.,.]]],.]],[[.,.],.]]=>[7,8,4,3,2,5,1,6]=>[2,1,1,2,2]=>[2,2,2,1,1] [[.,[[.,[[.,.],.]],.]],[.,[.,.]]]=>[8,7,3,4,2,5,1,6]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,[[.,[[.,.],.]],.]],[[.,.],.]]=>[7,8,3,4,2,5,1,6]=>[2,2,2,2]=>[2,2,2,2] [[.,[[[.,.],[.,.]],.]],[.,[.,.]]]=>[8,7,4,2,3,5,1,6]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[.,[.,.]],.],.]],[.,[.,.]]]=>[8,7,3,2,4,5,1,6]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[8,7,2,3,4,5,1,6]=>[1,1,4,2]=>[4,2,1,1] [[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[7,8,2,3,4,5,1,6]=>[2,4,2]=>[4,2,2] [[[.,.],[.,[.,[.,.]]]],[.,[.,.]]]=>[8,7,5,4,3,1,2,6]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[7,8,5,4,3,1,2,6]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,.],[[.,.],[.,.]]],[.,[.,.]]]=>[8,7,5,3,4,1,2,6]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,.],[[.,.],[.,.]]],[[.,.],.]]=>[7,8,5,3,4,1,2,6]=>[2,1,2,3]=>[3,2,2,1] [[[.,.],[[.,[.,.]],.]],[.,[.,.]]]=>[8,7,4,3,5,1,2,6]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,[.,.]],[.,[.,.]]],[.,[.,.]]]=>[8,7,5,4,2,1,3,6]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,[.,.]],[[.,.],.]],[[.,.],.]]=>[7,8,4,5,2,1,3,6]=>[2,2,1,3]=>[3,2,2,1] [[[[.,.],.],[.,[.,.]]],[.,[.,.]]]=>[8,7,5,4,1,2,3,6]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,1,2,3,6]=>[2,1,1,4]=>[4,2,1,1] [[[[.,.],.],[[.,.],.]],[.,[.,.]]]=>[8,7,4,5,1,2,3,6]=>[1,1,2,4]=>[4,2,1,1] [[[[.,.],.],[[.,.],.]],[[.,.],.]]=>[7,8,4,5,1,2,3,6]=>[2,2,4]=>[4,2,2] [[[.,[.,[.,.]]],[.,.]],[.,[.,.]]]=>[8,7,5,3,2,1,4,6]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,[.,.]]],[.,.]],[[.,.],.]]=>[7,8,5,3,2,1,4,6]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,[[.,.],.]],[.,.]],[.,[.,.]]]=>[8,7,5,2,3,1,4,6]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,[[.,.],.]],[.,.]],[[.,.],.]]=>[7,8,5,2,3,1,4,6]=>[2,1,2,3]=>[3,2,2,1] [[[[.,.],[.,.]],[.,.]],[.,[.,.]]]=>[8,7,5,3,1,2,4,6]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,.],[.,.]],[.,.]],[[.,.],.]]=>[7,8,5,3,1,2,4,6]=>[2,1,1,4]=>[4,2,1,1] [[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[2,1,1,4]=>[4,2,1,1] [[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[2,1,5]=>[5,2,1] [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[8,7,4,3,2,1,5,6]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[7,8,4,3,2,1,5,6]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,[.,[[.,.],.]]],.],[.,[.,.]]]=>[8,7,3,4,2,1,5,6]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,[.,[[.,.],.]]],.],[[.,.],.]]=>[7,8,3,4,2,1,5,6]=>[2,2,1,3]=>[3,2,2,1] [[[.,[[.,.],[.,.]]],.],[[.,.],.]]=>[7,8,4,2,3,1,5,6]=>[2,1,2,3]=>[3,2,2,1] [[[.,[[.,[.,.]],.]],.],[.,[.,.]]]=>[8,7,3,2,4,1,5,6]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,[[.,[.,.]],.]],.],[[.,.],.]]=>[7,8,3,2,4,1,5,6]=>[2,1,2,3]=>[3,2,2,1] [[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[8,7,2,3,4,1,5,6]=>[1,1,3,3]=>[3,3,1,1] [[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[7,8,2,3,4,1,5,6]=>[2,3,3]=>[3,3,2] [[[[.,.],[.,[.,.]]],.],[.,[.,.]]]=>[8,7,4,3,1,2,5,6]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,.],[.,[.,.]]],.],[[.,.],.]]=>[7,8,4,3,1,2,5,6]=>[2,1,1,4]=>[4,2,1,1] [[[[.,.],[[.,.],.]],.],[.,[.,.]]]=>[8,7,3,4,1,2,5,6]=>[1,1,2,4]=>[4,2,1,1] [[[[.,.],[[.,.],.]],.],[[.,.],.]]=>[7,8,3,4,1,2,5,6]=>[2,2,4]=>[4,2,2] [[[[.,[.,.]],[.,.]],.],[[.,.],.]]=>[7,8,4,2,1,3,5,6]=>[2,1,1,4]=>[4,2,1,1] [[[[[.,.],.],[.,.]],.],[.,[.,.]]]=>[8,7,4,1,2,3,5,6]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,.],.],[.,.]],.],[[.,.],.]]=>[7,8,4,1,2,3,5,6]=>[2,1,5]=>[5,2,1] [[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[8,7,3,2,1,4,5,6]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[2,1,1,4]=>[4,2,1,1] [[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[7,8,2,3,1,4,5,6]=>[2,2,4]=>[4,2,2] [[[[[.,.],[.,.]],.],.],[[.,.],.]]=>[7,8,3,1,2,4,5,6]=>[2,1,5]=>[5,2,1] [[[[[.,[.,.]],.],.],.],[.,[.,.]]]=>[8,7,2,1,3,4,5,6]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,[.,.]],.],.],.],[[.,.],.]]=>[7,8,2,1,3,4,5,6]=>[2,1,5]=>[5,2,1] [[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[8,7,1,2,3,4,5,6]=>[1,1,6]=>[6,1,1] [[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[2,6]=>[6,2] [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[8,6,5,4,3,2,1,7]=>[1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1] [[.,[.,[.,[.,[[.,.],.]]]]],[.,.]]=>[8,5,6,4,3,2,1,7]=>[1,2,1,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[1,3,1,1,2]=>[3,2,1,1,1] [[.,[.,[[.,.],[.,[.,.]]]]],[.,.]]=>[8,6,5,3,4,2,1,7]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,[.,[[.,.],[[.,.],.]]]],[.,.]]=>[8,5,6,3,4,2,1,7]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,[.,[[.,[.,[.,.]]],.]]],[.,.]]=>[8,5,4,3,6,2,1,7]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[8,4,5,3,6,2,1,7]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,[[.,.],[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,2,3,1,7]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[.,.],[.,[[.,.],.]]]],[.,.]]=>[8,5,6,4,2,3,1,7]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,[[.,.],[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,2,3,1,7]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,[[.,.],[[[.,.],.],.]]],[.,.]]=>[8,4,5,6,2,3,1,7]=>[1,3,2,2]=>[3,2,2,1] [[.,[[.,[.,.]],[.,[.,.]]]],[.,.]]=>[8,6,5,3,2,4,1,7]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[[.,.],.],[.,[.,.]]]],[.,.]]=>[8,6,5,2,3,4,1,7]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[.,.],.],[[.,.],.]]],[.,.]]=>[8,5,6,2,3,4,1,7]=>[1,2,3,2]=>[3,2,2,1] [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[8,6,4,2,3,5,1,7]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[.,[.,.]],.],[.,.]]],[.,.]]=>[8,6,3,2,4,5,1,7]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[.,[.,[.,[.,.]]]],.]],[.,.]]=>[8,5,4,3,2,6,1,7]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[8,4,5,3,2,6,1,7]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,[[.,[[.,[.,.]],.]],.]],[.,.]]=>[8,4,3,5,2,6,1,7]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,[[.,[[[.,.],.],.]],.]],[.,.]]=>[8,3,4,5,2,6,1,7]=>[1,3,2,2]=>[3,2,2,1] [[.,[[[.,.],[.,[.,.]]],.]],[.,.]]=>[8,5,4,2,3,6,1,7]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[[.,.],.],[.,.]],.]],[.,.]]=>[8,5,2,3,4,6,1,7]=>[1,1,4,2]=>[4,2,1,1] [[.,[[[[.,.],[.,.]],.],.]],[.,.]]=>[8,4,2,3,5,6,1,7]=>[1,1,4,2]=>[4,2,1,1] [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,3,1,2,7]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,.],[.,[[.,.],[.,.]]]],[.,.]]=>[8,6,4,5,3,1,2,7]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,.],[.,[[.,[.,.]],.]]],[.,.]]=>[8,5,4,6,3,1,2,7]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[1,2,2,3]=>[3,2,2,1] [[[.,.],[[.,[.,.]],[.,.]]],[.,.]]=>[8,6,4,3,5,1,2,7]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,.],[[[.,.],.],[.,.]]],[.,.]]=>[8,6,3,4,5,1,2,7]=>[1,1,3,3]=>[3,3,1,1] [[[.,.],[[.,[[.,.],.]],.]],[.,.]]=>[8,4,5,3,6,1,2,7]=>[1,2,2,3]=>[3,2,2,1] [[[.,.],[[[.,.],[.,.]],.]],[.,.]]=>[8,5,3,4,6,1,2,7]=>[1,1,3,3]=>[3,3,1,1] [[[.,.],[[[.,[.,.]],.],.]],[.,.]]=>[8,4,3,5,6,1,2,7]=>[1,1,3,3]=>[3,3,1,1] [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,2,1,3,7]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,2,1,3,7]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[8,6,4,5,2,1,3,7]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,[.,.]],[[.,[.,.]],.]],[.,.]]=>[8,5,4,6,2,1,3,7]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[[.,.],.],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,1,2,3,7]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,.],.],[.,[[.,.],.]]],[.,.]]=>[8,5,6,4,1,2,3,7]=>[1,2,1,4]=>[4,2,1,1] [[[[.,.],.],[[[.,.],.],.]],[.,.]]=>[8,4,5,6,1,2,3,7]=>[1,3,4]=>[4,3,1] [[[.,[.,[.,.]]],[.,[.,.]]],[.,.]]=>[8,6,5,3,2,1,4,7]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,[.,.]]],[[.,.],.]],[.,.]]=>[8,5,6,3,2,1,4,7]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[8,6,5,2,3,1,4,7]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[1,2,2,3]=>[3,2,2,1] [[[[.,.],[.,.]],[.,[.,.]]],[.,.]]=>[8,6,5,3,1,2,4,7]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,.],[.,.]],[[.,.],.]],[.,.]]=>[8,5,6,3,1,2,4,7]=>[1,2,1,4]=>[4,2,1,1] [[[[.,[.,.]],.],[.,[.,.]]],[.,.]]=>[8,6,5,2,1,3,4,7]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,[.,.]],.],[[.,.],.]],[.,.]]=>[8,5,6,2,1,3,4,7]=>[1,2,1,4]=>[4,2,1,1] [[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[8,6,5,1,2,3,4,7]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[8,5,6,1,2,3,4,7]=>[1,2,5]=>[5,2,1] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[8,6,4,2,3,1,5,7]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[8,6,3,2,4,1,5,7]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,[[[.,.],.],.]],[.,.]],[.,.]]=>[8,6,2,3,4,1,5,7]=>[1,1,3,3]=>[3,3,1,1] [[[[.,.],[.,[.,.]]],[.,.]],[.,.]]=>[8,6,4,3,1,2,5,7]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,.],[[.,.],.]],[.,.]],[.,.]]=>[8,6,3,4,1,2,5,7]=>[1,1,2,4]=>[4,2,1,1] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[[.,.],.],[.,.]],[.,.]],[.,.]]=>[8,6,4,1,2,3,5,7]=>[1,1,1,5]=>[5,1,1,1] [[[[.,[.,[.,.]]],.],[.,.]],[.,.]]=>[8,6,3,2,1,4,5,7]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[8,6,2,3,1,4,5,7]=>[1,1,2,4]=>[4,2,1,1] [[[[[[.,.],.],.],.],[.,.]],[.,.]]=>[8,6,1,2,3,4,5,7]=>[1,1,6]=>[6,1,1] [[[.,[.,[.,[.,[.,.]]]]],.],[.,.]]=>[8,5,4,3,2,1,6,7]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,[.,[[.,.],.]]]],.],[.,.]]=>[8,4,5,3,2,1,6,7]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,[.,[[.,[.,.]],.]]],.],[.,.]]=>[8,4,3,5,2,1,6,7]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,[.,[[[.,.],.],.]]],.],[.,.]]=>[8,3,4,5,2,1,6,7]=>[1,3,1,3]=>[3,3,1,1] [[[.,[[.,.],[.,[.,.]]]],.],[.,.]]=>[8,5,4,2,3,1,6,7]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,[[.,.],[[.,.],.]]],.],[.,.]]=>[8,4,5,2,3,1,6,7]=>[1,2,2,3]=>[3,2,2,1] [[[.,[[[.,.],.],[.,.]]],.],[.,.]]=>[8,5,2,3,4,1,6,7]=>[1,1,3,3]=>[3,3,1,1] [[[.,[[[.,.],[.,.]],.]],.],[.,.]]=>[8,4,2,3,5,1,6,7]=>[1,1,3,3]=>[3,3,1,1] [[[[.,.],[[.,.],[.,.]]],.],[.,.]]=>[8,5,3,4,1,2,6,7]=>[1,1,2,4]=>[4,2,1,1] [[[[.,[.,.]],[.,[.,.]]],.],[.,.]]=>[8,5,4,2,1,3,6,7]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[8,4,5,2,1,3,6,7]=>[1,2,1,4]=>[4,2,1,1] [[[[[.,.],.],[[.,.],.]],.],[.,.]]=>[8,4,5,1,2,3,6,7]=>[1,2,5]=>[5,2,1] [[[[.,[.,[.,.]]],[.,.]],.],[.,.]]=>[8,5,3,2,1,4,6,7]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[[.,.],[.,.]],[.,.]],.],[.,.]]=>[8,5,3,1,2,4,6,7]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,[.,.]],.],[.,.]],.],[.,.]]=>[8,5,2,1,3,4,6,7]=>[1,1,1,5]=>[5,1,1,1] [[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[8,5,1,2,3,4,6,7]=>[1,1,6]=>[6,1,1] [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[8,4,3,2,1,5,6,7]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[8,3,4,2,1,5,6,7]=>[1,2,1,4]=>[4,2,1,1] [[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[8,4,2,3,1,5,6,7]=>[1,1,2,4]=>[4,2,1,1] [[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[8,3,2,4,1,5,6,7]=>[1,1,2,4]=>[4,2,1,1] [[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>[1,3,4]=>[4,3,1] [[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[8,4,3,1,2,5,6,7]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,.],[[.,.],.]],.],.],[.,.]]=>[8,3,4,1,2,5,6,7]=>[1,2,5]=>[5,2,1] [[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[8,4,2,1,3,5,6,7]=>[1,1,1,5]=>[5,1,1,1] [[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[8,4,1,2,3,5,6,7]=>[1,1,6]=>[6,1,1] [[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[8,2,3,1,4,5,6,7]=>[1,2,5]=>[5,2,1] [[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>[1,1,6]=>[6,1,1] [[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>[1,7]=>[7,1] [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[1,1,1,1,1,1,2]=>[2,1,1,1,1,1,1] [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[2,1,1,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[7,5,6,4,3,2,1,8]=>[1,2,1,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[1,2,1,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[3,1,1,1,2]=>[3,2,1,1,1] [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>[1,1,2,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,[[.,.],[[.,.],.]]]]],.]=>[6,7,4,5,3,2,1,8]=>[2,2,1,1,2]=>[2,2,2,1,1] [[.,[.,[.,[[[.,.],.],[.,.]]]]],.]=>[7,4,5,6,3,2,1,8]=>[1,3,1,1,2]=>[3,2,1,1,1] [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[1,1,2,1,1,2]=>[2,2,1,1,1,1] [[.,[.,[.,[[.,[[.,.],.]],.]]]],.]=>[5,6,4,7,3,2,1,8]=>[2,2,1,1,2]=>[2,2,2,1,1] [[.,[.,[.,[[[.,[.,.]],.],.]]]],.]=>[5,4,6,7,3,2,1,8]=>[1,3,1,1,2]=>[3,2,1,1,1] [[.,[.,[.,[[[[.,.],.],.],.]]]],.]=>[4,5,6,7,3,2,1,8]=>[4,1,1,2]=>[4,2,1,1] [[.,[.,[[.,.],[.,[.,[.,.]]]]]],.]=>[7,6,5,3,4,2,1,8]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,[.,[[.,.],[.,[[.,.],.]]]]],.]=>[6,7,5,3,4,2,1,8]=>[2,1,2,1,2]=>[2,2,2,1,1] [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[7,5,6,3,4,2,1,8]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,[.,[[.,.],[[.,[.,.]],.]]]],.]=>[6,5,7,3,4,2,1,8]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,[.,[[.,.],[[[.,.],.],.]]]],.]=>[5,6,7,3,4,2,1,8]=>[3,2,1,2]=>[3,2,2,1] [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[7,6,4,3,5,2,1,8]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[7,6,3,4,5,2,1,8]=>[1,1,3,1,2]=>[3,2,1,1,1] [[.,[.,[[.,[[.,.],.]],[.,.]]]],.]=>[7,4,5,3,6,2,1,8]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,[.,[[[[.,.],.],.],[.,.]]]],.]=>[7,3,4,5,6,2,1,8]=>[1,4,1,2]=>[4,2,1,1] [[.,[.,[[.,[.,[.,[.,.]]]],.]]],.]=>[6,5,4,3,7,2,1,8]=>[1,1,1,2,1,2]=>[2,2,1,1,1,1] [[.,[.,[[.,[.,[[.,.],.]]],.]]],.]=>[5,6,4,3,7,2,1,8]=>[2,1,2,1,2]=>[2,2,2,1,1] [[.,[.,[[.,[[.,.],[.,.]]],.]]],.]=>[6,4,5,3,7,2,1,8]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,[.,[[.,[[.,[.,.]],.]],.]]],.]=>[5,4,6,3,7,2,1,8]=>[1,2,2,1,2]=>[2,2,2,1,1] [[.,[.,[[.,[[[.,.],.],.]],.]]],.]=>[4,5,6,3,7,2,1,8]=>[3,2,1,2]=>[3,2,2,1] [[.,[.,[[[.,.],[[.,.],.]],.]]],.]=>[5,6,3,4,7,2,1,8]=>[2,3,1,2]=>[3,2,2,1] [[.,[.,[[[.,[.,[.,.]]],.],.]]],.]=>[5,4,3,6,7,2,1,8]=>[1,1,3,1,2]=>[3,2,1,1,1] [[.,[[.,.],[.,[.,[.,[.,.]]]]]],.]=>[7,6,5,4,2,3,1,8]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>[6,7,5,4,2,3,1,8]=>[2,1,1,2,2]=>[2,2,2,1,1] [[.,[[.,.],[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,2,3,1,8]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,[[.,.],[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,2,3,1,8]=>[3,1,2,2]=>[3,2,2,1] [[.,[[.,.],[[.,.],[.,[.,.]]]]],.]=>[7,6,4,5,2,3,1,8]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,[[.,.],[[.,.],[[.,.],.]]]],.]=>[6,7,4,5,2,3,1,8]=>[2,2,2,2]=>[2,2,2,2] [[.,[[.,.],[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,2,3,1,8]=>[1,3,2,2]=>[3,2,2,1] [[.,[[.,.],[[.,[.,[.,.]]],.]]],.]=>[6,5,4,7,2,3,1,8]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,[[.,.],[[.,[[.,.],.]],.]]],.]=>[5,6,4,7,2,3,1,8]=>[2,2,2,2]=>[2,2,2,2] [[.,[[.,.],[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,2,3,1,8]=>[1,3,2,2]=>[3,2,2,1] [[.,[[.,.],[[[[.,.],.],.],.]]],.]=>[4,5,6,7,2,3,1,8]=>[4,2,2]=>[4,2,2] [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[7,6,5,3,2,4,1,8]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[6,5,7,3,2,4,1,8]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,[[.,[.,.]],[[[.,.],.],.]]],.]=>[5,6,7,3,2,4,1,8]=>[3,1,2,2]=>[3,2,2,1] [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[6,7,5,2,3,4,1,8]=>[2,1,3,2]=>[3,2,2,1] [[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[7,5,6,2,3,4,1,8]=>[1,2,3,2]=>[3,2,2,1] [[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[6,5,7,2,3,4,1,8]=>[1,2,3,2]=>[3,2,2,1] [[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[5,6,7,2,3,4,1,8]=>[3,3,2]=>[3,3,2] [[.,[[.,[.,[.,.]]],[.,[.,.]]]],.]=>[7,6,4,3,2,5,1,8]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[.,[.,[.,.]]],[[.,.],.]]],.]=>[6,7,4,3,2,5,1,8]=>[2,1,1,2,2]=>[2,2,2,1,1] [[.,[[.,[[.,.],.]],[[.,.],.]]],.]=>[6,7,3,4,2,5,1,8]=>[2,2,2,2]=>[2,2,2,2] [[.,[[[.,.],[.,.]],[.,[.,.]]]],.]=>[7,6,4,2,3,5,1,8]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[7,6,3,2,4,5,1,8]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[6,7,3,2,4,5,1,8]=>[2,1,3,2]=>[3,2,2,1] [[.,[[[[.,.],.],.],[.,[.,.]]]],.]=>[7,6,2,3,4,5,1,8]=>[1,1,4,2]=>[4,2,1,1] [[.,[[[[.,.],.],.],[[.,.],.]]],.]=>[6,7,2,3,4,5,1,8]=>[2,4,2]=>[4,2,2] [[.,[[.,[.,[.,[.,.]]]],[.,.]]],.]=>[7,5,4,3,2,6,1,8]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[.,[.,[[.,.],.]]],[.,.]]],.]=>[7,4,5,3,2,6,1,8]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,[[.,[[.,.],[.,.]]],[.,.]]],.]=>[7,5,3,4,2,6,1,8]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,[[.,[[.,[.,.]],.]],[.,.]]],.]=>[7,4,3,5,2,6,1,8]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,[[.,[[[.,.],.],.]],[.,.]]],.]=>[7,3,4,5,2,6,1,8]=>[1,3,2,2]=>[3,2,2,1] [[.,[[[.,.],[.,[.,.]]],[.,.]]],.]=>[7,5,4,2,3,6,1,8]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[.,.],[[.,.],.]],[.,.]]],.]=>[7,4,5,2,3,6,1,8]=>[1,2,3,2]=>[3,2,2,1] [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[7,5,3,2,4,6,1,8]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[[.,.],.],[.,.]],[.,.]]],.]=>[7,5,2,3,4,6,1,8]=>[1,1,4,2]=>[4,2,1,1] [[.,[[[.,[.,[.,.]]],.],[.,.]]],.]=>[7,4,3,2,5,6,1,8]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[[.,.],[.,.]],.],[.,.]]],.]=>[7,4,2,3,5,6,1,8]=>[1,1,4,2]=>[4,2,1,1] [[.,[[.,[.,[.,[.,[.,.]]]]],.]],.]=>[6,5,4,3,2,7,1,8]=>[1,1,1,1,2,2]=>[2,2,1,1,1,1] [[.,[[.,[.,[[.,[.,.]],.]]],.]],.]=>[5,4,6,3,2,7,1,8]=>[1,2,1,2,2]=>[2,2,2,1,1] [[.,[[.,[[.,.],[[.,.],.]]],.]],.]=>[5,6,3,4,2,7,1,8]=>[2,2,2,2]=>[2,2,2,2] [[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[6,4,3,5,2,7,1,8]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,[[.,[[[.,.],.],[.,.]]],.]],.]=>[6,3,4,5,2,7,1,8]=>[1,3,2,2]=>[3,2,2,1] [[.,[[.,[[.,[.,[.,.]]],.]],.]],.]=>[5,4,3,6,2,7,1,8]=>[1,1,2,2,2]=>[2,2,2,1,1] [[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[2,2,2,2]=>[2,2,2,2] [[.,[[.,[[[[.,.],.],.],.]],.]],.]=>[3,4,5,6,2,7,1,8]=>[4,2,2]=>[4,2,2] [[.,[[[.,.],[[.,[.,.]],.]],.]],.]=>[5,4,6,2,3,7,1,8]=>[1,2,3,2]=>[3,2,2,1] [[.,[[[.,.],[[[.,.],.],.]],.]],.]=>[4,5,6,2,3,7,1,8]=>[3,3,2]=>[3,3,2] [[.,[[[.,[.,.]],[.,[.,.]]],.]],.]=>[6,5,3,2,4,7,1,8]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[[.,.],.],[.,[.,.]]],.]],.]=>[6,5,2,3,4,7,1,8]=>[1,1,4,2]=>[4,2,1,1] [[.,[[[[.,.],.],[[.,.],.]],.]],.]=>[5,6,2,3,4,7,1,8]=>[2,4,2]=>[4,2,2] [[.,[[[[.,.],[.,.]],[.,.]],.]],.]=>[6,4,2,3,5,7,1,8]=>[1,1,4,2]=>[4,2,1,1] [[.,[[[[.,[.,.]],.],[.,.]],.]],.]=>[6,3,2,4,5,7,1,8]=>[1,1,4,2]=>[4,2,1,1] [[.,[[[[[.,.],.],.],[.,.]],.]],.]=>[6,2,3,4,5,7,1,8]=>[1,5,2]=>[5,2,1] [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[1,1,1,3,2]=>[3,2,1,1,1] [[.,[[[.,[.,[[.,.],.]]],.],.]],.]=>[4,5,3,2,6,7,1,8]=>[2,1,3,2]=>[3,2,2,1] [[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[5,3,4,2,6,7,1,8]=>[1,2,3,2]=>[3,2,2,1] [[.,[[[.,[[[.,.],.],.]],.],.]],.]=>[3,4,5,2,6,7,1,8]=>[3,3,2]=>[3,3,2] [[.,[[[[.,.],[.,[.,.]]],.],.]],.]=>[5,4,2,3,6,7,1,8]=>[1,1,4,2]=>[4,2,1,1] [[.,[[[[.,.],[[.,.],.]],.],.]],.]=>[4,5,2,3,6,7,1,8]=>[2,4,2]=>[4,2,2] [[.,[[[[.,[.,.]],[.,.]],.],.]],.]=>[5,3,2,4,6,7,1,8]=>[1,1,4,2]=>[4,2,1,1] [[.,[[[[[.,.],.],[.,.]],.],.]],.]=>[5,2,3,4,6,7,1,8]=>[1,5,2]=>[5,2,1] [[.,[[[[.,[[.,.],.]],.],.],.]],.]=>[3,4,2,5,6,7,1,8]=>[2,4,2]=>[4,2,2] [[.,[[[[[.,.],[.,.]],.],.],.]],.]=>[4,2,3,5,6,7,1,8]=>[1,5,2]=>[5,2,1] [[.,[[[[[[.,.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,1,8]=>[6,2]=>[6,2] [[[.,.],[.,[.,[.,[[.,.],.]]]]],.]=>[6,7,5,4,3,1,2,8]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,.],[.,[.,[[.,.],[.,.]]]]],.]=>[7,5,6,4,3,1,2,8]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,.],[.,[.,[[[.,.],.],.]]]],.]=>[5,6,7,4,3,1,2,8]=>[3,1,1,3]=>[3,3,1,1] [[[.,.],[.,[[[.,.],.],[.,.]]]],.]=>[7,4,5,6,3,1,2,8]=>[1,3,1,3]=>[3,3,1,1] [[[.,.],[.,[[[.,[.,.]],.],.]]],.]=>[5,4,6,7,3,1,2,8]=>[1,3,1,3]=>[3,3,1,1] [[[.,.],[.,[[[[.,.],.],.],.]]],.]=>[4,5,6,7,3,1,2,8]=>[4,1,3]=>[4,3,1] [[[.,.],[[.,.],[.,[.,[.,.]]]]],.]=>[7,6,5,3,4,1,2,8]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,.],[[.,.],[[.,.],[.,.]]]],.]=>[7,5,6,3,4,1,2,8]=>[1,2,2,3]=>[3,2,2,1] [[[.,.],[[.,[.,.]],[[.,.],.]]],.]=>[6,7,4,3,5,1,2,8]=>[2,1,2,3]=>[3,2,2,1] [[[.,.],[[.,[.,[.,.]]],[.,.]]],.]=>[7,5,4,3,6,1,2,8]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,.],[[.,[[.,.],.]],[.,.]]],.]=>[7,4,5,3,6,1,2,8]=>[1,2,2,3]=>[3,2,2,1] [[[.,.],[[[.,.],[.,.]],[.,.]]],.]=>[7,5,3,4,6,1,2,8]=>[1,1,3,3]=>[3,3,1,1] [[[.,.],[[.,[.,[.,[.,.]]]],.]],.]=>[6,5,4,3,7,1,2,8]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,.],[[.,[.,[[.,.],.]]],.]],.]=>[5,6,4,3,7,1,2,8]=>[2,1,2,3]=>[3,2,2,1] [[[.,.],[[[.,.],[.,[.,.]]],.]],.]=>[6,5,3,4,7,1,2,8]=>[1,1,3,3]=>[3,3,1,1] [[[.,.],[[[.,.],[[.,.],.]],.]],.]=>[5,6,3,4,7,1,2,8]=>[2,3,3]=>[3,3,2] [[[.,.],[[[.,[.,.]],[.,.]],.]],.]=>[6,4,3,5,7,1,2,8]=>[1,1,3,3]=>[3,3,1,1] [[[.,.],[[[.,[[.,.],.]],.],.]],.]=>[4,5,3,6,7,1,2,8]=>[2,3,3]=>[3,3,2] [[[.,.],[[[[[.,.],.],.],.],.]],.]=>[3,4,5,6,7,1,2,8]=>[5,3]=>[5,3] [[[.,[.,.]],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,2,1,3,8]=>[3,1,1,3]=>[3,3,1,1] [[[.,[.,.]],[[.,.],[[.,.],.]]],.]=>[6,7,4,5,2,1,3,8]=>[2,2,1,3]=>[3,2,2,1] [[[.,[.,.]],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,2,1,3,8]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,[.,.]],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,2,1,3,8]=>[1,3,1,3]=>[3,3,1,1] [[[.,[.,.]],[[.,[.,[.,.]]],.]],.]=>[6,5,4,7,2,1,3,8]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,[.,.]],[[[.,[.,.]],.],.]],.]=>[5,4,6,7,2,1,3,8]=>[1,3,1,3]=>[3,3,1,1] [[[.,[.,.]],[[[[.,.],.],.],.]],.]=>[4,5,6,7,2,1,3,8]=>[4,1,3]=>[4,3,1] [[[[.,.],.],[.,[.,[.,[.,.]]]]],.]=>[7,6,5,4,1,2,3,8]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,.],.],[.,[.,[[.,.],.]]]],.]=>[6,7,5,4,1,2,3,8]=>[2,1,1,4]=>[4,2,1,1] [[[[.,.],.],[.,[[.,.],[.,.]]]],.]=>[7,5,6,4,1,2,3,8]=>[1,2,1,4]=>[4,2,1,1] [[[[.,.],.],[.,[[.,[.,.]],.]]],.]=>[6,5,7,4,1,2,3,8]=>[1,2,1,4]=>[4,2,1,1] [[[[.,.],.],[.,[[[.,.],.],.]]],.]=>[5,6,7,4,1,2,3,8]=>[3,1,4]=>[4,3,1] [[[[.,.],.],[[.,.],[.,[.,.]]]],.]=>[7,6,4,5,1,2,3,8]=>[1,1,2,4]=>[4,2,1,1] [[[[.,.],.],[[.,[.,.]],[.,.]]],.]=>[7,5,4,6,1,2,3,8]=>[1,1,2,4]=>[4,2,1,1] [[[[.,.],.],[[[.,.],.],[.,.]]],.]=>[7,4,5,6,1,2,3,8]=>[1,3,4]=>[4,3,1] [[[[.,.],.],[[.,[.,[.,.]]],.]],.]=>[6,5,4,7,1,2,3,8]=>[1,1,2,4]=>[4,2,1,1] [[[[.,.],.],[[[.,.],[.,.]],.]],.]=>[6,4,5,7,1,2,3,8]=>[1,3,4]=>[4,3,1] [[[[.,.],.],[[[.,[.,.]],.],.]],.]=>[5,4,6,7,1,2,3,8]=>[1,3,4]=>[4,3,1] [[[[.,.],.],[[[[.,.],.],.],.]],.]=>[4,5,6,7,1,2,3,8]=>[4,4]=>[4,4] [[[.,[.,[.,.]]],[.,[.,[.,.]]]],.]=>[7,6,5,3,2,1,4,8]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,[.,.]]],[.,[[.,.],.]]],.]=>[6,7,5,3,2,1,4,8]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,[.,[.,.]]],[[.,.],[.,.]]],.]=>[7,5,6,3,2,1,4,8]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,[.,[.,.]]],[[[.,.],.],.]],.]=>[5,6,7,3,2,1,4,8]=>[3,1,1,3]=>[3,3,1,1] [[[.,[[.,.],.]],[.,[.,[.,.]]]],.]=>[7,6,5,2,3,1,4,8]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,[[.,.],.]],[.,[[.,.],.]]],.]=>[6,7,5,2,3,1,4,8]=>[2,1,2,3]=>[3,2,2,1] [[[.,[[.,.],.]],[[.,.],[.,.]]],.]=>[7,5,6,2,3,1,4,8]=>[1,2,2,3]=>[3,2,2,1] [[[.,[[.,.],.]],[[.,[.,.]],.]],.]=>[6,5,7,2,3,1,4,8]=>[1,2,2,3]=>[3,2,2,1] [[[.,[[.,.],.]],[[[.,.],.],.]],.]=>[5,6,7,2,3,1,4,8]=>[3,2,3]=>[3,3,2] [[[[.,.],[.,.]],[.,[.,[.,.]]]],.]=>[7,6,5,3,1,2,4,8]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,.],[.,.]],[[.,.],[.,.]]],.]=>[7,5,6,3,1,2,4,8]=>[1,2,1,4]=>[4,2,1,1] [[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[7,6,5,2,1,3,4,8]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,[.,.]],.],[[.,.],[.,.]]],.]=>[7,5,6,2,1,3,4,8]=>[1,2,1,4]=>[4,2,1,1] [[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[7,6,5,1,2,3,4,8]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[6,7,5,1,2,3,4,8]=>[2,1,5]=>[5,2,1] [[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[7,5,6,1,2,3,4,8]=>[1,2,5]=>[5,2,1] [[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[6,5,7,1,2,3,4,8]=>[1,2,5]=>[5,2,1] [[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>[3,5]=>[5,3] [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[7,6,4,3,2,1,5,8]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[6,7,4,3,2,1,5,8]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,[[.,[.,.]],.]],[.,[.,.]]],.]=>[7,6,3,2,4,1,5,8]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,[[.,[.,.]],.]],[[.,.],.]],.]=>[6,7,3,2,4,1,5,8]=>[2,1,2,3]=>[3,2,2,1] [[[.,[[[.,.],.],.]],[.,[.,.]]],.]=>[7,6,2,3,4,1,5,8]=>[1,1,3,3]=>[3,3,1,1] [[[.,[[[.,.],.],.]],[[.,.],.]],.]=>[6,7,2,3,4,1,5,8]=>[2,3,3]=>[3,3,2] [[[[.,.],[.,[.,.]]],[.,[.,.]]],.]=>[7,6,4,3,1,2,5,8]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,.],[.,[.,.]]],[[.,.],.]],.]=>[6,7,4,3,1,2,5,8]=>[2,1,1,4]=>[4,2,1,1] [[[[.,.],[[.,.],.]],[.,[.,.]]],.]=>[7,6,3,4,1,2,5,8]=>[1,1,2,4]=>[4,2,1,1] [[[[.,.],[[.,.],.]],[[.,.],.]],.]=>[6,7,3,4,1,2,5,8]=>[2,2,4]=>[4,2,2] [[[[.,[.,.]],[.,.]],[.,[.,.]]],.]=>[7,6,4,2,1,3,5,8]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[[.,.],.],[.,.]],[.,[.,.]]],.]=>[7,6,4,1,2,3,5,8]=>[1,1,1,5]=>[5,1,1,1] [[[[.,[.,[.,.]]],.],[.,[.,.]]],.]=>[7,6,3,2,1,4,5,8]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,[.,[.,.]]],.],[[.,.],.]],.]=>[6,7,3,2,1,4,5,8]=>[2,1,1,4]=>[4,2,1,1] [[[[.,[[.,.],.]],.],[.,[.,.]]],.]=>[7,6,2,3,1,4,5,8]=>[1,1,2,4]=>[4,2,1,1] [[[[.,[[.,.],.]],.],[[.,.],.]],.]=>[6,7,2,3,1,4,5,8]=>[2,2,4]=>[4,2,2] [[[[[.,.],[.,.]],.],[.,[.,.]]],.]=>[7,6,3,1,2,4,5,8]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,.],[.,.]],.],[[.,.],.]],.]=>[6,7,3,1,2,4,5,8]=>[2,1,5]=>[5,2,1] [[[[[[.,.],.],.],.],[.,[.,.]]],.]=>[7,6,1,2,3,4,5,8]=>[1,1,6]=>[6,1,1] [[[[[[.,.],.],.],.],[[.,.],.]],.]=>[6,7,1,2,3,4,5,8]=>[2,6]=>[6,2] [[[.,[.,[.,[.,[.,.]]]]],[.,.]],.]=>[7,5,4,3,2,1,6,8]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,[[.,.],[.,.]]]],[.,.]],.]=>[7,5,3,4,2,1,6,8]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,[.,[[.,[.,.]],.]]],[.,.]],.]=>[7,4,3,5,2,1,6,8]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,[.,[[[.,.],.],.]]],[.,.]],.]=>[7,3,4,5,2,1,6,8]=>[1,3,1,3]=>[3,3,1,1] [[[.,[[.,.],[.,[.,.]]]],[.,.]],.]=>[7,5,4,2,3,1,6,8]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[7,5,3,2,4,1,6,8]=>[1,1,1,2,3]=>[3,2,1,1,1] [[[.,[[[.,.],.],[.,.]]],[.,.]],.]=>[7,5,2,3,4,1,6,8]=>[1,1,3,3]=>[3,3,1,1] [[[.,[[[.,.],[.,.]],.]],[.,.]],.]=>[7,4,2,3,5,1,6,8]=>[1,1,3,3]=>[3,3,1,1] [[[.,[[[[.,.],.],.],.]],[.,.]],.]=>[7,2,3,4,5,1,6,8]=>[1,4,3]=>[4,3,1] [[[[.,.],[[.,.],[.,.]]],[.,.]],.]=>[7,5,3,4,1,2,6,8]=>[1,1,2,4]=>[4,2,1,1] [[[[.,.],[[[.,.],.],.]],[.,.]],.]=>[7,3,4,5,1,2,6,8]=>[1,3,4]=>[4,3,1] [[[[[.,.],.],[.,[.,.]]],[.,.]],.]=>[7,5,4,1,2,3,6,8]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,.],.],[[.,.],.]],[.,.]],.]=>[7,4,5,1,2,3,6,8]=>[1,2,5]=>[5,2,1] [[[[.,[.,[.,.]]],[.,.]],[.,.]],.]=>[7,5,3,2,1,4,6,8]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,[[.,.],.]],[.,.]],[.,.]],.]=>[7,5,2,3,1,4,6,8]=>[1,1,2,4]=>[4,2,1,1] [[[[[.,.],[.,.]],[.,.]],[.,.]],.]=>[7,5,3,1,2,4,6,8]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,[.,.]],.],[.,.]],[.,.]],.]=>[7,5,2,1,3,4,6,8]=>[1,1,1,5]=>[5,1,1,1] [[[[[[.,.],.],.],[.,.]],[.,.]],.]=>[7,5,1,2,3,4,6,8]=>[1,1,6]=>[6,1,1] [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[7,4,3,2,1,5,6,8]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,[.,[[.,.],.]]],.],[.,.]],.]=>[7,3,4,2,1,5,6,8]=>[1,2,1,4]=>[4,2,1,1] [[[[.,[[.,.],[.,.]]],.],[.,.]],.]=>[7,4,2,3,1,5,6,8]=>[1,1,2,4]=>[4,2,1,1] [[[[.,[[.,[.,.]],.]],.],[.,.]],.]=>[7,3,2,4,1,5,6,8]=>[1,1,2,4]=>[4,2,1,1] [[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[7,2,3,4,1,5,6,8]=>[1,3,4]=>[4,3,1] [[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[7,4,3,1,2,5,6,8]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,.],[[.,.],.]],.],[.,.]],.]=>[7,3,4,1,2,5,6,8]=>[1,2,5]=>[5,2,1] [[[[[.,[[.,.],.]],.],.],[.,.]],.]=>[7,2,3,1,4,5,6,8]=>[1,2,5]=>[5,2,1] [[[[[[.,.],[.,.]],.],.],[.,.]],.]=>[7,3,1,2,4,5,6,8]=>[1,1,6]=>[6,1,1] [[[[[[[.,.],.],.],.],.],[.,.]],.]=>[7,1,2,3,4,5,6,8]=>[1,7]=>[7,1] [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[6,5,4,3,2,1,7,8]=>[1,1,1,1,1,3]=>[3,1,1,1,1,1] [[[.,[.,[.,[.,[[.,.],.]]]]],.],.]=>[5,6,4,3,2,1,7,8]=>[2,1,1,1,3]=>[3,2,1,1,1] [[[.,[.,[.,[[.,[.,.]],.]]]],.],.]=>[5,4,6,3,2,1,7,8]=>[1,2,1,1,3]=>[3,2,1,1,1] [[[.,[.,[.,[[[.,.],.],.]]]],.],.]=>[4,5,6,3,2,1,7,8]=>[3,1,1,3]=>[3,3,1,1] [[[.,[.,[[.,.],[.,[.,.]]]]],.],.]=>[6,5,3,4,2,1,7,8]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,[.,[[.,.],[[.,.],.]]]],.],.]=>[5,6,3,4,2,1,7,8]=>[2,2,1,3]=>[3,2,2,1] [[[.,[.,[[[.,.],.],[.,.]]]],.],.]=>[6,3,4,5,2,1,7,8]=>[1,3,1,3]=>[3,3,1,1] [[[.,[.,[[.,[.,[.,.]]],.]]],.],.]=>[5,4,3,6,2,1,7,8]=>[1,1,2,1,3]=>[3,2,1,1,1] [[[.,[.,[[.,[[.,.],.]],.]]],.],.]=>[4,5,3,6,2,1,7,8]=>[2,2,1,3]=>[3,2,2,1] [[[.,[.,[[[.,[.,.]],.],.]]],.],.]=>[4,3,5,6,2,1,7,8]=>[1,3,1,3]=>[3,3,1,1] [[[.,[.,[[[[.,.],.],.],.]]],.],.]=>[3,4,5,6,2,1,7,8]=>[4,1,3]=>[4,3,1] [[[.,[[.,.],[.,[[.,.],.]]]],.],.]=>[5,6,4,2,3,1,7,8]=>[2,1,2,3]=>[3,2,2,1] [[[.,[[.,.],[[.,.],[.,.]]]],.],.]=>[6,4,5,2,3,1,7,8]=>[1,2,2,3]=>[3,2,2,1] [[[.,[[.,.],[[.,[.,.]],.]]],.],.]=>[5,4,6,2,3,1,7,8]=>[1,2,2,3]=>[3,2,2,1] [[[.,[[.,.],[[[.,.],.],.]]],.],.]=>[4,5,6,2,3,1,7,8]=>[3,2,3]=>[3,3,2] [[[.,[[.,[.,.]],[[.,.],.]]],.],.]=>[5,6,3,2,4,1,7,8]=>[2,1,2,3]=>[3,2,2,1] 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[[[[.,[[.,.],.]],[[.,.],.]],.],.]=>[5,6,2,3,1,4,7,8]=>[2,2,4]=>[4,2,2] [[[[[[.,.],.],.],[.,[.,.]]],.],.]=>[6,5,1,2,3,4,7,8]=>[1,1,6]=>[6,1,1] [[[[[[.,.],.],.],[[.,.],.]],.],.]=>[5,6,1,2,3,4,7,8]=>[2,6]=>[6,2] [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[6,4,3,2,1,5,7,8]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,[.,[[.,.],.]]],[.,.]],.],.]=>[6,3,4,2,1,5,7,8]=>[1,2,1,4]=>[4,2,1,1] [[[[.,[[.,[.,.]],.]],[.,.]],.],.]=>[6,3,2,4,1,5,7,8]=>[1,1,2,4]=>[4,2,1,1] [[[[.,[[[.,.],.],.]],[.,.]],.],.]=>[6,2,3,4,1,5,7,8]=>[1,3,4]=>[4,3,1] [[[[[.,.],[.,[.,.]]],[.,.]],.],.]=>[6,4,3,1,2,5,7,8]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,[.,.]],[.,.]],[.,.]],.],.]=>[6,4,2,1,3,5,7,8]=>[1,1,1,5]=>[5,1,1,1] [[[[[[.,.],.],[.,.]],[.,.]],.],.]=>[6,4,1,2,3,5,7,8]=>[1,1,6]=>[6,1,1] [[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[6,3,2,1,4,5,7,8]=>[1,1,1,5]=>[5,1,1,1] [[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[6,3,1,2,4,5,7,8]=>[1,1,6]=>[6,1,1] [[[[[[[.,.],.],.],.],[.,.]],.],.]=>[6,1,2,3,4,5,7,8]=>[1,7]=>[7,1] [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[1,1,1,1,4]=>[4,1,1,1,1] [[[[.,[.,[.,[[.,.],.]]]],.],.],.]=>[4,5,3,2,1,6,7,8]=>[2,1,1,4]=>[4,2,1,1] [[[[.,[.,[[.,.],[.,.]]]],.],.],.]=>[5,3,4,2,1,6,7,8]=>[1,2,1,4]=>[4,2,1,1] [[[[.,[.,[[.,[.,.]],.]]],.],.],.]=>[4,3,5,2,1,6,7,8]=>[1,2,1,4]=>[4,2,1,1] [[[[.,[.,[[[.,.],.],.]]],.],.],.]=>[3,4,5,2,1,6,7,8]=>[3,1,4]=>[4,3,1] [[[[.,[[.,.],[.,[.,.]]]],.],.],.]=>[5,4,2,3,1,6,7,8]=>[1,1,2,4]=>[4,2,1,1] [[[[.,[[.,.],[[.,.],.]]],.],.],.]=>[4,5,2,3,1,6,7,8]=>[2,2,4]=>[4,2,2] [[[[.,[[.,[.,.]],[.,.]]],.],.],.]=>[5,3,2,4,1,6,7,8]=>[1,1,2,4]=>[4,2,1,1] [[[[.,[[[.,.],.],[.,.]]],.],.],.]=>[5,2,3,4,1,6,7,8]=>[1,3,4]=>[4,3,1] [[[[.,[[.,[.,[.,.]]],.]],.],.],.]=>[4,3,2,5,1,6,7,8]=>[1,1,2,4]=>[4,2,1,1] [[[[.,[[.,[[.,.],.]],.]],.],.],.]=>[3,4,2,5,1,6,7,8]=>[2,2,4]=>[4,2,2] [[[[.,[[[.,.],[.,.]],.]],.],.],.]=>[4,2,3,5,1,6,7,8]=>[1,3,4]=>[4,3,1] [[[[.,[[[.,[.,.]],.],.]],.],.],.]=>[3,2,4,5,1,6,7,8]=>[1,3,4]=>[4,3,1] [[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[4,4]=>[4,4] [[[[[.,.],[.,[.,[.,.]]]],.],.],.]=>[5,4,3,1,2,6,7,8]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,.],[[.,.],[.,.]]],.],.],.]=>[5,3,4,1,2,6,7,8]=>[1,2,5]=>[5,2,1] [[[[[.,.],[[[.,.],.],.]],.],.],.]=>[3,4,5,1,2,6,7,8]=>[3,5]=>[5,3] [[[[[.,[.,.]],[.,[.,.]]],.],.],.]=>[5,4,2,1,3,6,7,8]=>[1,1,1,5]=>[5,1,1,1] [[[[[[.,.],.],[.,[.,.]]],.],.],.]=>[5,4,1,2,3,6,7,8]=>[1,1,6]=>[6,1,1] [[[[[[.,.],.],[[.,.],.]],.],.],.]=>[4,5,1,2,3,6,7,8]=>[2,6]=>[6,2] [[[[[.,[.,[.,.]]],[.,.]],.],.],.]=>[5,3,2,1,4,6,7,8]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,[[.,.],.]],[.,.]],.],.],.]=>[5,2,3,1,4,6,7,8]=>[1,2,5]=>[5,2,1] [[[[[[.,.],[.,.]],[.,.]],.],.],.]=>[5,3,1,2,4,6,7,8]=>[1,1,6]=>[6,1,1] [[[[[[.,[.,.]],.],[.,.]],.],.],.]=>[5,2,1,3,4,6,7,8]=>[1,1,6]=>[6,1,1] [[[[[[[.,.],.],.],[.,.]],.],.],.]=>[5,1,2,3,4,6,7,8]=>[1,7]=>[7,1] [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[1,1,1,5]=>[5,1,1,1] [[[[[.,[.,[[.,.],.]]],.],.],.],.]=>[3,4,2,1,5,6,7,8]=>[2,1,5]=>[5,2,1] [[[[[.,[[.,.],[.,.]]],.],.],.],.]=>[4,2,3,1,5,6,7,8]=>[1,2,5]=>[5,2,1] [[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[1,2,5]=>[5,2,1] [[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[3,5]=>[5,3] [[[[[[.,.],[.,[.,.]]],.],.],.],.]=>[4,3,1,2,5,6,7,8]=>[1,1,6]=>[6,1,1] [[[[[[.,.],[[.,.],.]],.],.],.],.]=>[3,4,1,2,5,6,7,8]=>[2,6]=>[6,2] [[[[[[.,[.,.]],[.,.]],.],.],.],.]=>[4,2,1,3,5,6,7,8]=>[1,1,6]=>[6,1,1] [[[[[[[.,.],.],[.,.]],.],.],.],.]=>[4,1,2,3,5,6,7,8]=>[1,7]=>[7,1] [[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[1,1,6]=>[6,1,1] [[[[[[.,[[.,.],.]],.],.],.],.],.]=>[2,3,1,4,5,6,7,8]=>[2,6]=>[6,2] [[[[[[[.,.],[.,.]],.],.],.],.],.]=>[3,1,2,4,5,6,7,8]=>[1,7]=>[7,1] [[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[1,7]=>[7,1] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[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
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 $\{ i_1, i_1 + i_2, i_1 + i_2 + i_3, \ldots, i_1 + i_2 + \cdots + i_{k-1} \}$.
Map
to partition
Description
Sends a composition to the partition obtained by sorting the entries.