Identifier
Mp00014: Binary trees to 132-avoiding permutationPermutations
Mp00069: Permutations complementPermutations
Mp00254: Permutations Inverse fireworks mapPermutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1] [.,[.,.]]=>[2,1]=>[1,2]=>[1,2] [[.,.],.]=>[1,2]=>[2,1]=>[2,1] [.,[.,[.,.]]]=>[3,2,1]=>[1,2,3]=>[1,2,3] [.,[[.,.],.]]=>[2,3,1]=>[2,1,3]=>[2,1,3] [[.,.],[.,.]]=>[3,1,2]=>[1,3,2]=>[1,3,2] [[.,[.,.]],.]=>[2,1,3]=>[2,3,1]=>[1,3,2] [[[.,.],.],.]=>[1,2,3]=>[3,2,1]=>[3,2,1] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[1,2,3,4]=>[1,2,3,4] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[2,1,3,4]=>[2,1,3,4] [.,[[.,.],[.,.]]]=>[4,2,3,1]=>[1,3,2,4]=>[1,3,2,4] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[2,3,1,4]=>[1,3,2,4] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[3,2,1,4]=>[3,2,1,4] [[.,.],[.,[.,.]]]=>[4,3,1,2]=>[1,2,4,3]=>[1,2,4,3] [[.,.],[[.,.],.]]=>[3,4,1,2]=>[2,1,4,3]=>[2,1,4,3] [[.,[.,.]],[.,.]]=>[4,2,1,3]=>[1,3,4,2]=>[1,2,4,3] [[[.,.],.],[.,.]]=>[4,1,2,3]=>[1,4,3,2]=>[1,4,3,2] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[2,3,4,1]=>[1,2,4,3] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[3,2,4,1]=>[2,1,4,3] [[[.,.],[.,.]],.]=>[3,1,2,4]=>[2,4,3,1]=>[1,4,3,2] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[3,4,2,1]=>[1,4,3,2] [[[[.,.],.],.],.]=>[1,2,3,4]=>[4,3,2,1]=>[4,3,2,1] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[1,2,3,4,5]=>[1,2,3,4,5] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[2,1,3,4,5]=>[2,1,3,4,5] [.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[1,3,2,4,5]=>[1,3,2,4,5] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[2,3,1,4,5]=>[1,3,2,4,5] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[3,2,1,4,5]=>[3,2,1,4,5] [.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[1,2,4,3,5]=>[1,2,4,3,5] [.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[2,1,4,3,5]=>[2,1,4,3,5] [.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[1,3,4,2,5]=>[1,2,4,3,5] [.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[1,4,3,2,5]=>[1,4,3,2,5] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[2,3,4,1,5]=>[1,2,4,3,5] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[3,2,4,1,5]=>[2,1,4,3,5] [.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[2,4,3,1,5]=>[1,4,3,2,5] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[3,4,2,1,5]=>[1,4,3,2,5] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[4,3,2,1,5]=>[4,3,2,1,5] [[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[1,2,3,5,4]=>[1,2,3,5,4] [[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[2,1,3,5,4]=>[2,1,3,5,4] [[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[1,3,2,5,4]=>[1,3,2,5,4] [[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[2,3,1,5,4]=>[1,3,2,5,4] [[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[3,2,1,5,4]=>[3,2,1,5,4] [[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[1,2,4,5,3]=>[1,2,3,5,4] [[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[2,1,4,5,3]=>[2,1,3,5,4] [[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[1,2,5,4,3] [[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[2,1,5,4,3]=>[2,1,5,4,3] [[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[1,3,4,5,2]=>[1,2,3,5,4] [[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[1,4,3,5,2]=>[1,3,2,5,4] [[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[1,3,5,4,2]=>[1,2,5,4,3] [[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[1,4,5,3,2]=>[1,2,5,4,3] [[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[1,5,4,3,2]=>[1,5,4,3,2] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[2,3,4,5,1]=>[1,2,3,5,4] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[3,2,4,5,1]=>[2,1,3,5,4] [[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[2,4,3,5,1]=>[1,3,2,5,4] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[3,4,2,5,1]=>[1,3,2,5,4] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[4,3,2,5,1]=>[3,2,1,5,4] [[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[2,3,5,4,1]=>[1,2,5,4,3] [[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[3,2,5,4,1]=>[2,1,5,4,3] [[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[2,4,5,3,1]=>[1,2,5,4,3] [[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[2,5,4,3,1]=>[1,5,4,3,2] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,4,5,2,1]=>[1,2,5,4,3] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[4,3,5,2,1]=>[2,1,5,4,3] [[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[3,5,4,2,1]=>[1,5,4,3,2] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[4,5,3,2,1]=>[1,5,4,3,2] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[5,4,3,2,1]=>[5,4,3,2,1] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[2,3,1,4,5,6]=>[1,3,2,4,5,6] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6] [.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6] [.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[1,3,4,2,5,6]=>[1,2,4,3,5,6] [.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[2,3,4,1,5,6]=>[1,2,4,3,5,6] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[3,2,4,1,5,6]=>[2,1,4,3,5,6] [.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[2,4,3,1,5,6]=>[1,4,3,2,5,6] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[3,4,2,1,5,6]=>[1,4,3,2,5,6] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6] [.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[2,3,1,5,4,6]=>[1,3,2,5,4,6] [.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6] [.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[1,2,4,5,3,6]=>[1,2,3,5,4,6] [.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[2,1,4,5,3,6]=>[2,1,3,5,4,6] [.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6] [.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6] [.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[1,3,4,5,2,6]=>[1,2,3,5,4,6] [.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[1,4,3,5,2,6]=>[1,3,2,5,4,6] [.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[1,3,5,4,2,6]=>[1,2,5,4,3,6] [.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[1,4,5,3,2,6]=>[1,2,5,4,3,6] [.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[2,3,4,5,1,6]=>[1,2,3,5,4,6] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[3,2,4,5,1,6]=>[2,1,3,5,4,6] [.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[2,4,3,5,1,6]=>[1,3,2,5,4,6] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[3,4,2,5,1,6]=>[1,3,2,5,4,6] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[4,3,2,5,1,6]=>[3,2,1,5,4,6] [.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[2,3,5,4,1,6]=>[1,2,5,4,3,6] [.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[3,2,5,4,1,6]=>[2,1,5,4,3,6] [.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[2,4,5,3,1,6]=>[1,2,5,4,3,6] [.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[2,5,4,3,1,6]=>[1,5,4,3,2,6] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[3,4,5,2,1,6]=>[1,2,5,4,3,6] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[4,3,5,2,1,6]=>[2,1,5,4,3,6] [.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[3,5,4,2,1,6]=>[1,5,4,3,2,6] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[4,5,3,2,1,6]=>[1,5,4,3,2,6] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6] [[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[2,3,1,4,6,5]=>[1,3,2,4,6,5] [[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5] [[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[1,3,4,2,6,5]=>[1,2,4,3,6,5] [[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5] [[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[2,3,4,1,6,5]=>[1,2,4,3,6,5] [[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[3,2,4,1,6,5]=>[2,1,4,3,6,5] [[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[2,4,3,1,6,5]=>[1,4,3,2,6,5] [[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[3,4,2,1,6,5]=>[1,4,3,2,6,5] [[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5] [[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[1,2,3,5,6,4]=>[1,2,3,4,6,5] [[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[2,1,3,5,6,4]=>[2,1,3,4,6,5] [[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[1,3,2,5,6,4]=>[1,3,2,4,6,5] [[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[2,3,1,5,6,4]=>[1,3,2,4,6,5] [[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[3,2,1,5,6,4]=>[3,2,1,4,6,5] [[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4] [[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4] [[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4] [[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[2,3,1,6,5,4]=>[1,3,2,6,5,4] [[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4] [[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[1,2,4,5,6,3]=>[1,2,3,4,6,5] [[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[2,1,4,5,6,3]=>[2,1,3,4,6,5] [[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[1,2,5,4,6,3]=>[1,2,4,3,6,5] [[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[2,1,5,4,6,3]=>[2,1,4,3,6,5] [[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[1,2,4,6,5,3]=>[1,2,3,6,5,4] [[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[2,1,4,6,5,3]=>[2,1,3,6,5,4] [[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[1,2,5,6,4,3]=>[1,2,3,6,5,4] [[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[2,1,5,6,4,3]=>[2,1,3,6,5,4] [[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3] [[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3] [[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[1,3,4,5,6,2]=>[1,2,3,4,6,5] [[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[1,4,3,5,6,2]=>[1,3,2,4,6,5] [[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[1,3,5,4,6,2]=>[1,2,4,3,6,5] [[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[1,4,5,3,6,2]=>[1,2,4,3,6,5] [[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[1,5,4,3,6,2]=>[1,4,3,2,6,5] [[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[1,3,4,6,5,2]=>[1,2,3,6,5,4] [[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[1,4,3,6,5,2]=>[1,3,2,6,5,4] [[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[1,3,5,6,4,2]=>[1,2,3,6,5,4] [[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[1,3,6,5,4,2]=>[1,2,6,5,4,3] [[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[1,4,5,6,3,2]=>[1,2,3,6,5,4] [[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[1,5,4,6,3,2]=>[1,3,2,6,5,4] [[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[1,4,6,5,3,2]=>[1,2,6,5,4,3] [[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[1,5,6,4,3,2]=>[1,2,6,5,4,3] [[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[2,3,4,5,6,1]=>[1,2,3,4,6,5] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[3,2,4,5,6,1]=>[2,1,3,4,6,5] [[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[2,4,3,5,6,1]=>[1,3,2,4,6,5] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[3,4,2,5,6,1]=>[1,3,2,4,6,5] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[4,3,2,5,6,1]=>[3,2,1,4,6,5] [[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[2,3,5,4,6,1]=>[1,2,4,3,6,5] [[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[3,2,5,4,6,1]=>[2,1,4,3,6,5] [[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[2,4,5,3,6,1]=>[1,2,4,3,6,5] [[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[2,5,4,3,6,1]=>[1,4,3,2,6,5] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[3,4,5,2,6,1]=>[1,2,4,3,6,5] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[4,3,5,2,6,1]=>[2,1,4,3,6,5] [[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[3,5,4,2,6,1]=>[1,4,3,2,6,5] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[4,5,3,2,6,1]=>[1,4,3,2,6,5] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[5,4,3,2,6,1]=>[4,3,2,1,6,5] [[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[2,3,4,6,5,1]=>[1,2,3,6,5,4] [[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[3,2,4,6,5,1]=>[2,1,3,6,5,4] [[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[2,4,3,6,5,1]=>[1,3,2,6,5,4] [[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[3,4,2,6,5,1]=>[1,3,2,6,5,4] [[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[4,3,2,6,5,1]=>[3,2,1,6,5,4] [[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[2,3,5,6,4,1]=>[1,2,3,6,5,4] [[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[3,2,5,6,4,1]=>[2,1,3,6,5,4] [[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[2,3,6,5,4,1]=>[1,2,6,5,4,3] [[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[3,2,6,5,4,1]=>[2,1,6,5,4,3] [[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[2,4,5,6,3,1]=>[1,2,3,6,5,4] [[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[2,5,4,6,3,1]=>[1,3,2,6,5,4] [[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[2,4,6,5,3,1]=>[1,2,6,5,4,3] [[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[2,5,6,4,3,1]=>[1,2,6,5,4,3] [[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[2,6,5,4,3,1]=>[1,6,5,4,3,2] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[3,4,5,6,2,1]=>[1,2,3,6,5,4] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[4,3,5,6,2,1]=>[2,1,3,6,5,4] [[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[3,5,4,6,2,1]=>[1,3,2,6,5,4] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[4,5,3,6,2,1]=>[1,3,2,6,5,4] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[5,4,3,6,2,1]=>[3,2,1,6,5,4] [[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[3,4,6,5,2,1]=>[1,2,6,5,4,3] [[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[4,3,6,5,2,1]=>[2,1,6,5,4,3] [[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[3,5,6,4,2,1]=>[1,2,6,5,4,3] [[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[3,6,5,4,2,1]=>[1,6,5,4,3,2] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[4,5,6,3,2,1]=>[1,2,6,5,4,3] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[5,4,6,3,2,1]=>[2,1,6,5,4,3] [[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[4,6,5,3,2,1]=>[1,6,5,4,3,2] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[5,6,4,3,2,1]=>[1,6,5,4,3,2] [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[2,3,1,4,5,6,7]=>[1,3,2,4,5,6,7] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[1,3,4,2,5,6,7]=>[1,2,4,3,5,6,7] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[2,3,4,1,5,6,7]=>[1,2,4,3,5,6,7] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[3,2,4,1,5,6,7]=>[2,1,4,3,5,6,7] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[2,4,3,1,5,6,7]=>[1,4,3,2,5,6,7] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[3,4,2,1,5,6,7]=>[1,4,3,2,5,6,7] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[2,3,1,5,4,6,7]=>[1,3,2,5,4,6,7] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[1,2,4,5,3,6,7]=>[1,2,3,5,4,6,7] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[2,1,4,5,3,6,7]=>[2,1,3,5,4,6,7] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[1,3,4,5,2,6,7]=>[1,2,3,5,4,6,7] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[1,4,3,5,2,6,7]=>[1,3,2,5,4,6,7] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[1,3,5,4,2,6,7]=>[1,2,5,4,3,6,7] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[1,4,5,3,2,6,7]=>[1,2,5,4,3,6,7] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[2,3,4,5,1,6,7]=>[1,2,3,5,4,6,7] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[3,2,4,5,1,6,7]=>[2,1,3,5,4,6,7] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[2,4,3,5,1,6,7]=>[1,3,2,5,4,6,7] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[3,4,2,5,1,6,7]=>[1,3,2,5,4,6,7] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[4,3,2,5,1,6,7]=>[3,2,1,5,4,6,7] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[2,3,5,4,1,6,7]=>[1,2,5,4,3,6,7] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[3,2,5,4,1,6,7]=>[2,1,5,4,3,6,7] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[2,4,5,3,1,6,7]=>[1,2,5,4,3,6,7] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[2,5,4,3,1,6,7]=>[1,5,4,3,2,6,7] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[3,4,5,2,1,6,7]=>[1,2,5,4,3,6,7] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[4,3,5,2,1,6,7]=>[2,1,5,4,3,6,7] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[3,5,4,2,1,6,7]=>[1,5,4,3,2,6,7] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[4,5,3,2,1,6,7]=>[1,5,4,3,2,6,7] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[2,3,1,4,6,5,7]=>[1,3,2,4,6,5,7] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[1,3,4,2,6,5,7]=>[1,2,4,3,6,5,7] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[2,3,4,1,6,5,7]=>[1,2,4,3,6,5,7] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[3,2,4,1,6,5,7]=>[2,1,4,3,6,5,7] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[2,4,3,1,6,5,7]=>[1,4,3,2,6,5,7] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[3,4,2,1,6,5,7]=>[1,4,3,2,6,5,7] [.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[1,2,3,5,6,4,7]=>[1,2,3,4,6,5,7] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[2,1,3,5,6,4,7]=>[2,1,3,4,6,5,7] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[1,3,2,5,6,4,7]=>[1,3,2,4,6,5,7] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[2,3,1,5,6,4,7]=>[1,3,2,4,6,5,7] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[3,2,1,5,6,4,7]=>[3,2,1,4,6,5,7] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[2,3,1,6,5,4,7]=>[1,3,2,6,5,4,7] [.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[1,2,4,5,6,3,7]=>[1,2,3,4,6,5,7] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[2,1,4,5,6,3,7]=>[2,1,3,4,6,5,7] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[1,2,5,4,6,3,7]=>[1,2,4,3,6,5,7] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[2,1,5,4,6,3,7]=>[2,1,4,3,6,5,7] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[1,2,4,6,5,3,7]=>[1,2,3,6,5,4,7] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[2,1,4,6,5,3,7]=>[2,1,3,6,5,4,7] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[1,2,5,6,4,3,7]=>[1,2,3,6,5,4,7] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[2,1,5,6,4,3,7]=>[2,1,3,6,5,4,7] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7] [.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[1,3,4,5,6,2,7]=>[1,2,3,4,6,5,7] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[1,4,3,5,6,2,7]=>[1,3,2,4,6,5,7] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[1,3,5,4,6,2,7]=>[1,2,4,3,6,5,7] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[1,4,5,3,6,2,7]=>[1,2,4,3,6,5,7] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[1,5,4,3,6,2,7]=>[1,4,3,2,6,5,7] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[1,3,4,6,5,2,7]=>[1,2,3,6,5,4,7] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[1,4,3,6,5,2,7]=>[1,3,2,6,5,4,7] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[1,3,5,6,4,2,7]=>[1,2,3,6,5,4,7] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[1,3,6,5,4,2,7]=>[1,2,6,5,4,3,7] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[1,4,5,6,3,2,7]=>[1,2,3,6,5,4,7] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[1,5,4,6,3,2,7]=>[1,3,2,6,5,4,7] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[1,4,6,5,3,2,7]=>[1,2,6,5,4,3,7] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[1,5,6,4,3,2,7]=>[1,2,6,5,4,3,7] [.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[2,3,4,5,6,1,7]=>[1,2,3,4,6,5,7] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[3,2,4,5,6,1,7]=>[2,1,3,4,6,5,7] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[2,4,3,5,6,1,7]=>[1,3,2,4,6,5,7] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[3,4,2,5,6,1,7]=>[1,3,2,4,6,5,7] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[4,3,2,5,6,1,7]=>[3,2,1,4,6,5,7] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[2,3,5,4,6,1,7]=>[1,2,4,3,6,5,7] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[3,2,5,4,6,1,7]=>[2,1,4,3,6,5,7] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[2,4,5,3,6,1,7]=>[1,2,4,3,6,5,7] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[2,5,4,3,6,1,7]=>[1,4,3,2,6,5,7] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[3,4,5,2,6,1,7]=>[1,2,4,3,6,5,7] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[4,3,5,2,6,1,7]=>[2,1,4,3,6,5,7] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[3,5,4,2,6,1,7]=>[1,4,3,2,6,5,7] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[4,5,3,2,6,1,7]=>[1,4,3,2,6,5,7] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[5,4,3,2,6,1,7]=>[4,3,2,1,6,5,7] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[2,3,4,6,5,1,7]=>[1,2,3,6,5,4,7] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[3,2,4,6,5,1,7]=>[2,1,3,6,5,4,7] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[2,4,3,6,5,1,7]=>[1,3,2,6,5,4,7] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[3,4,2,6,5,1,7]=>[1,3,2,6,5,4,7] [.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[4,3,2,6,5,1,7]=>[3,2,1,6,5,4,7] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[2,3,5,6,4,1,7]=>[1,2,3,6,5,4,7] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[3,2,5,6,4,1,7]=>[2,1,3,6,5,4,7] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[2,3,6,5,4,1,7]=>[1,2,6,5,4,3,7] [.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[3,2,6,5,4,1,7]=>[2,1,6,5,4,3,7] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[2,4,5,6,3,1,7]=>[1,2,3,6,5,4,7] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[2,5,4,6,3,1,7]=>[1,3,2,6,5,4,7] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[2,4,6,5,3,1,7]=>[1,2,6,5,4,3,7] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[2,5,6,4,3,1,7]=>[1,2,6,5,4,3,7] [.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[2,6,5,4,3,1,7]=>[1,6,5,4,3,2,7] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[3,4,5,6,2,1,7]=>[1,2,3,6,5,4,7] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[4,3,5,6,2,1,7]=>[2,1,3,6,5,4,7] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[3,5,4,6,2,1,7]=>[1,3,2,6,5,4,7] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[4,5,3,6,2,1,7]=>[1,3,2,6,5,4,7] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[5,4,3,6,2,1,7]=>[3,2,1,6,5,4,7] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[3,4,6,5,2,1,7]=>[1,2,6,5,4,3,7] [.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[4,3,6,5,2,1,7]=>[2,1,6,5,4,3,7] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[3,5,6,4,2,1,7]=>[1,2,6,5,4,3,7] [.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[3,6,5,4,2,1,7]=>[1,6,5,4,3,2,7] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[4,5,6,3,2,1,7]=>[1,2,6,5,4,3,7] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[5,4,6,3,2,1,7]=>[2,1,6,5,4,3,7] [.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[4,6,5,3,2,1,7]=>[1,6,5,4,3,2,7] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[5,6,4,3,2,1,7]=>[1,6,5,4,3,2,7] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[2,3,1,4,5,7,6]=>[1,3,2,4,5,7,6] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[1,3,4,2,5,7,6]=>[1,2,4,3,5,7,6] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[2,3,4,1,5,7,6]=>[1,2,4,3,5,7,6] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[3,2,4,1,5,7,6]=>[2,1,4,3,5,7,6] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[2,4,3,1,5,7,6]=>[1,4,3,2,5,7,6] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[3,4,2,1,5,7,6]=>[1,4,3,2,5,7,6] [[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[2,3,1,5,4,7,6]=>[1,3,2,5,4,7,6] [[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[1,2,4,5,3,7,6]=>[1,2,3,5,4,7,6] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[2,1,4,5,3,7,6]=>[2,1,3,5,4,7,6] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6] [[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[1,3,4,5,2,7,6]=>[1,2,3,5,4,7,6] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[1,4,3,5,2,7,6]=>[1,3,2,5,4,7,6] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[1,3,5,4,2,7,6]=>[1,2,5,4,3,7,6] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[1,4,5,3,2,7,6]=>[1,2,5,4,3,7,6] [[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[2,3,4,5,1,7,6]=>[1,2,3,5,4,7,6] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[3,2,4,5,1,7,6]=>[2,1,3,5,4,7,6] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[2,4,3,5,1,7,6]=>[1,3,2,5,4,7,6] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[3,4,2,5,1,7,6]=>[1,3,2,5,4,7,6] [[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[4,3,2,5,1,7,6]=>[3,2,1,5,4,7,6] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[2,3,5,4,1,7,6]=>[1,2,5,4,3,7,6] [[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[3,2,5,4,1,7,6]=>[2,1,5,4,3,7,6] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[2,4,5,3,1,7,6]=>[1,2,5,4,3,7,6] [[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[2,5,4,3,1,7,6]=>[1,5,4,3,2,7,6] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[3,4,5,2,1,7,6]=>[1,2,5,4,3,7,6] [[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[4,3,5,2,1,7,6]=>[2,1,5,4,3,7,6] [[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[3,5,4,2,1,7,6]=>[1,5,4,3,2,7,6] [[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[4,5,3,2,1,7,6]=>[1,5,4,3,2,7,6] [[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[1,2,3,4,6,7,5]=>[1,2,3,4,5,7,6] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[2,1,3,4,6,7,5]=>[2,1,3,4,5,7,6] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[1,3,2,4,6,7,5]=>[1,3,2,4,5,7,6] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[2,3,1,4,6,7,5]=>[1,3,2,4,5,7,6] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[3,2,1,4,6,7,5]=>[3,2,1,4,5,7,6] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[1,2,4,3,6,7,5]=>[1,2,4,3,5,7,6] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[2,1,4,3,6,7,5]=>[2,1,4,3,5,7,6] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[1,3,4,2,6,7,5]=>[1,2,4,3,5,7,6] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[1,4,3,2,6,7,5]=>[1,4,3,2,5,7,6] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[2,3,4,1,6,7,5]=>[1,2,4,3,5,7,6] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[3,2,4,1,6,7,5]=>[2,1,4,3,5,7,6] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[2,4,3,1,6,7,5]=>[1,4,3,2,5,7,6] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[3,4,2,1,6,7,5]=>[1,4,3,2,5,7,6] [[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[4,3,2,1,6,7,5]=>[4,3,2,1,5,7,6] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[2,3,1,4,7,6,5]=>[1,3,2,4,7,6,5] [[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5] [[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[1,3,4,2,7,6,5]=>[1,2,4,3,7,6,5] [[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[2,3,4,1,7,6,5]=>[1,2,4,3,7,6,5] [[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[3,2,4,1,7,6,5]=>[2,1,4,3,7,6,5] [[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[2,4,3,1,7,6,5]=>[1,4,3,2,7,6,5] [[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[3,4,2,1,7,6,5]=>[1,4,3,2,7,6,5] [[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[1,2,3,5,6,7,4]=>[1,2,3,4,5,7,6] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[2,1,3,5,6,7,4]=>[2,1,3,4,5,7,6] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[1,3,2,5,6,7,4]=>[1,3,2,4,5,7,6] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[2,3,1,5,6,7,4]=>[1,3,2,4,5,7,6] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[3,2,1,5,6,7,4]=>[3,2,1,4,5,7,6] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[1,2,3,6,5,7,4]=>[1,2,3,5,4,7,6] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[2,1,3,6,5,7,4]=>[2,1,3,5,4,7,6] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[1,3,2,6,5,7,4]=>[1,3,2,5,4,7,6] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[2,3,1,6,5,7,4]=>[1,3,2,5,4,7,6] [[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[3,2,1,6,5,7,4]=>[3,2,1,5,4,7,6] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[1,2,3,5,7,6,4]=>[1,2,3,4,7,6,5] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[2,1,3,5,7,6,4]=>[2,1,3,4,7,6,5] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[1,3,2,5,7,6,4]=>[1,3,2,4,7,6,5] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[2,3,1,5,7,6,4]=>[1,3,2,4,7,6,5] [[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[3,2,1,5,7,6,4]=>[3,2,1,4,7,6,5] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[1,2,3,6,7,5,4]=>[1,2,3,4,7,6,5] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[2,1,3,6,7,5,4]=>[2,1,3,4,7,6,5] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[1,3,2,6,7,5,4]=>[1,3,2,4,7,6,5] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[2,3,1,6,7,5,4]=>[1,3,2,4,7,6,5] [[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[3,2,1,6,7,5,4]=>[3,2,1,4,7,6,5] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4] [[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4] [[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4] [[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[2,3,1,7,6,5,4]=>[1,3,2,7,6,5,4] [[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[1,2,4,5,6,7,3]=>[1,2,3,4,5,7,6] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[2,1,4,5,6,7,3]=>[2,1,3,4,5,7,6] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[1,2,5,4,6,7,3]=>[1,2,4,3,5,7,6] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[2,1,5,4,6,7,3]=>[2,1,4,3,5,7,6] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[1,2,4,6,5,7,3]=>[1,2,3,5,4,7,6] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[2,1,4,6,5,7,3]=>[2,1,3,5,4,7,6] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[1,2,5,6,4,7,3]=>[1,2,3,5,4,7,6] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[2,1,5,6,4,7,3]=>[2,1,3,5,4,7,6] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[1,2,6,5,4,7,3]=>[1,2,5,4,3,7,6] [[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[2,1,6,5,4,7,3]=>[2,1,5,4,3,7,6] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[1,2,4,5,7,6,3]=>[1,2,3,4,7,6,5] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[2,1,4,5,7,6,3]=>[2,1,3,4,7,6,5] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[1,2,5,4,7,6,3]=>[1,2,4,3,7,6,5] [[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[2,1,5,4,7,6,3]=>[2,1,4,3,7,6,5] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[1,2,4,6,7,5,3]=>[1,2,3,4,7,6,5] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[2,1,4,6,7,5,3]=>[2,1,3,4,7,6,5] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,5,3]=>[1,2,3,7,6,5,4] [[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[2,1,4,7,6,5,3]=>[2,1,3,7,6,5,4] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[1,2,5,6,7,4,3]=>[1,2,3,4,7,6,5] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[2,1,5,6,7,4,3]=>[2,1,3,4,7,6,5] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[1,2,6,5,7,4,3]=>[1,2,4,3,7,6,5] [[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[2,1,6,5,7,4,3]=>[2,1,4,3,7,6,5] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[1,2,5,7,6,4,3]=>[1,2,3,7,6,5,4] [[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[2,1,5,7,6,4,3]=>[2,1,3,7,6,5,4] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[1,2,6,7,5,4,3]=>[1,2,3,7,6,5,4] [[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[2,1,6,7,5,4,3]=>[2,1,3,7,6,5,4] [[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3] [[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[1,3,4,5,6,7,2]=>[1,2,3,4,5,7,6] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[1,4,3,5,6,7,2]=>[1,3,2,4,5,7,6] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[1,3,5,4,6,7,2]=>[1,2,4,3,5,7,6] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[1,4,5,3,6,7,2]=>[1,2,4,3,5,7,6] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[1,5,4,3,6,7,2]=>[1,4,3,2,5,7,6] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[1,3,4,6,5,7,2]=>[1,2,3,5,4,7,6] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[1,4,3,6,5,7,2]=>[1,3,2,5,4,7,6] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[1,3,5,6,4,7,2]=>[1,2,3,5,4,7,6] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[1,3,6,5,4,7,2]=>[1,2,5,4,3,7,6] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[1,4,5,6,3,7,2]=>[1,2,3,5,4,7,6] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[1,5,4,6,3,7,2]=>[1,3,2,5,4,7,6] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[1,4,6,5,3,7,2]=>[1,2,5,4,3,7,6] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[1,5,6,4,3,7,2]=>[1,2,5,4,3,7,6] [[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[1,6,5,4,3,7,2]=>[1,5,4,3,2,7,6] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[1,3,4,5,7,6,2]=>[1,2,3,4,7,6,5] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[1,4,3,5,7,6,2]=>[1,3,2,4,7,6,5] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[1,3,5,4,7,6,2]=>[1,2,4,3,7,6,5] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[1,4,5,3,7,6,2]=>[1,2,4,3,7,6,5] [[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[1,5,4,3,7,6,2]=>[1,4,3,2,7,6,5] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[1,3,4,6,7,5,2]=>[1,2,3,4,7,6,5] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[1,4,3,6,7,5,2]=>[1,3,2,4,7,6,5] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[1,3,4,7,6,5,2]=>[1,2,3,7,6,5,4] [[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[1,4,3,7,6,5,2]=>[1,3,2,7,6,5,4] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[1,3,5,6,7,4,2]=>[1,2,3,4,7,6,5] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[1,3,6,5,7,4,2]=>[1,2,4,3,7,6,5] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[1,3,5,7,6,4,2]=>[1,2,3,7,6,5,4] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[1,3,6,7,5,4,2]=>[1,2,3,7,6,5,4] [[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[1,3,7,6,5,4,2]=>[1,2,7,6,5,4,3] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[1,4,5,6,7,3,2]=>[1,2,3,4,7,6,5] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[1,5,4,6,7,3,2]=>[1,3,2,4,7,6,5] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[1,4,6,5,7,3,2]=>[1,2,4,3,7,6,5] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[1,5,6,4,7,3,2]=>[1,2,4,3,7,6,5] [[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[1,6,5,4,7,3,2]=>[1,4,3,2,7,6,5] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[1,4,5,7,6,3,2]=>[1,2,3,7,6,5,4] [[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[1,5,4,7,6,3,2]=>[1,3,2,7,6,5,4] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[1,4,6,7,5,3,2]=>[1,2,3,7,6,5,4] [[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[1,4,7,6,5,3,2]=>[1,2,7,6,5,4,3] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[1,5,6,7,4,3,2]=>[1,2,3,7,6,5,4] [[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[1,6,5,7,4,3,2]=>[1,3,2,7,6,5,4] [[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[1,5,7,6,4,3,2]=>[1,2,7,6,5,4,3] [[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[1,6,7,5,4,3,2]=>[1,2,7,6,5,4,3] [[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[2,3,4,5,6,7,1]=>[1,2,3,4,5,7,6] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[3,2,4,5,6,7,1]=>[2,1,3,4,5,7,6] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[2,4,3,5,6,7,1]=>[1,3,2,4,5,7,6] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[3,4,2,5,6,7,1]=>[1,3,2,4,5,7,6] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[4,3,2,5,6,7,1]=>[3,2,1,4,5,7,6] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[2,3,5,4,6,7,1]=>[1,2,4,3,5,7,6] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[3,2,5,4,6,7,1]=>[2,1,4,3,5,7,6] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[2,4,5,3,6,7,1]=>[1,2,4,3,5,7,6] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[2,5,4,3,6,7,1]=>[1,4,3,2,5,7,6] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[3,4,5,2,6,7,1]=>[1,2,4,3,5,7,6] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[4,3,5,2,6,7,1]=>[2,1,4,3,5,7,6] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[3,5,4,2,6,7,1]=>[1,4,3,2,5,7,6] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[4,5,3,2,6,7,1]=>[1,4,3,2,5,7,6] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[5,4,3,2,6,7,1]=>[4,3,2,1,5,7,6] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[2,3,4,6,5,7,1]=>[1,2,3,5,4,7,6] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[3,2,4,6,5,7,1]=>[2,1,3,5,4,7,6] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[2,4,3,6,5,7,1]=>[1,3,2,5,4,7,6] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[3,4,2,6,5,7,1]=>[1,3,2,5,4,7,6] [[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[4,3,2,6,5,7,1]=>[3,2,1,5,4,7,6] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[2,3,5,6,4,7,1]=>[1,2,3,5,4,7,6] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[3,2,5,6,4,7,1]=>[2,1,3,5,4,7,6] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[2,3,6,5,4,7,1]=>[1,2,5,4,3,7,6] [[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[3,2,6,5,4,7,1]=>[2,1,5,4,3,7,6] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[2,4,5,6,3,7,1]=>[1,2,3,5,4,7,6] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[2,5,4,6,3,7,1]=>[1,3,2,5,4,7,6] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[2,4,6,5,3,7,1]=>[1,2,5,4,3,7,6] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[2,5,6,4,3,7,1]=>[1,2,5,4,3,7,6] [[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[2,6,5,4,3,7,1]=>[1,5,4,3,2,7,6] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[3,4,5,6,2,7,1]=>[1,2,3,5,4,7,6] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[4,3,5,6,2,7,1]=>[2,1,3,5,4,7,6] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[3,5,4,6,2,7,1]=>[1,3,2,5,4,7,6] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[4,5,3,6,2,7,1]=>[1,3,2,5,4,7,6] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[5,4,3,6,2,7,1]=>[3,2,1,5,4,7,6] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[3,4,6,5,2,7,1]=>[1,2,5,4,3,7,6] [[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[4,3,6,5,2,7,1]=>[2,1,5,4,3,7,6] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[3,5,6,4,2,7,1]=>[1,2,5,4,3,7,6] [[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[3,6,5,4,2,7,1]=>[1,5,4,3,2,7,6] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[4,5,6,3,2,7,1]=>[1,2,5,4,3,7,6] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[5,4,6,3,2,7,1]=>[2,1,5,4,3,7,6] [[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[4,6,5,3,2,7,1]=>[1,5,4,3,2,7,6] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[5,6,4,3,2,7,1]=>[1,5,4,3,2,7,6] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[6,5,4,3,2,7,1]=>[5,4,3,2,1,7,6] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[2,3,4,5,7,6,1]=>[1,2,3,4,7,6,5] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[3,2,4,5,7,6,1]=>[2,1,3,4,7,6,5] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[2,4,3,5,7,6,1]=>[1,3,2,4,7,6,5] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[3,4,2,5,7,6,1]=>[1,3,2,4,7,6,5] [[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[4,3,2,5,7,6,1]=>[3,2,1,4,7,6,5] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[2,3,5,4,7,6,1]=>[1,2,4,3,7,6,5] [[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[3,2,5,4,7,6,1]=>[2,1,4,3,7,6,5] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[2,4,5,3,7,6,1]=>[1,2,4,3,7,6,5] [[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[2,5,4,3,7,6,1]=>[1,4,3,2,7,6,5] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[3,4,5,2,7,6,1]=>[1,2,4,3,7,6,5] [[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[4,3,5,2,7,6,1]=>[2,1,4,3,7,6,5] [[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[3,5,4,2,7,6,1]=>[1,4,3,2,7,6,5] [[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[4,5,3,2,7,6,1]=>[1,4,3,2,7,6,5] [[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[5,4,3,2,7,6,1]=>[4,3,2,1,7,6,5] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[2,3,4,6,7,5,1]=>[1,2,3,4,7,6,5] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[3,2,4,6,7,5,1]=>[2,1,3,4,7,6,5] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[2,4,3,6,7,5,1]=>[1,3,2,4,7,6,5] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[3,4,2,6,7,5,1]=>[1,3,2,4,7,6,5] [[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[4,3,2,6,7,5,1]=>[3,2,1,4,7,6,5] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[2,3,4,7,6,5,1]=>[1,2,3,7,6,5,4] [[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[3,2,4,7,6,5,1]=>[2,1,3,7,6,5,4] [[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[2,4,3,7,6,5,1]=>[1,3,2,7,6,5,4] [[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[3,4,2,7,6,5,1]=>[1,3,2,7,6,5,4] [[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[4,3,2,7,6,5,1]=>[3,2,1,7,6,5,4] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[2,3,5,6,7,4,1]=>[1,2,3,4,7,6,5] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[3,2,5,6,7,4,1]=>[2,1,3,4,7,6,5] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[2,3,6,5,7,4,1]=>[1,2,4,3,7,6,5] [[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[3,2,6,5,7,4,1]=>[2,1,4,3,7,6,5] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[2,3,5,7,6,4,1]=>[1,2,3,7,6,5,4] [[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[3,2,5,7,6,4,1]=>[2,1,3,7,6,5,4] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[2,3,6,7,5,4,1]=>[1,2,3,7,6,5,4] [[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[3,2,6,7,5,4,1]=>[2,1,3,7,6,5,4] [[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[2,3,7,6,5,4,1]=>[1,2,7,6,5,4,3] [[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[3,2,7,6,5,4,1]=>[2,1,7,6,5,4,3] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[2,4,5,6,7,3,1]=>[1,2,3,4,7,6,5] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[2,5,4,6,7,3,1]=>[1,3,2,4,7,6,5] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[2,4,6,5,7,3,1]=>[1,2,4,3,7,6,5] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[2,5,6,4,7,3,1]=>[1,2,4,3,7,6,5] [[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[2,6,5,4,7,3,1]=>[1,4,3,2,7,6,5] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[2,4,5,7,6,3,1]=>[1,2,3,7,6,5,4] [[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[2,5,4,7,6,3,1]=>[1,3,2,7,6,5,4] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[2,4,6,7,5,3,1]=>[1,2,3,7,6,5,4] [[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[2,4,7,6,5,3,1]=>[1,2,7,6,5,4,3] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[2,5,6,7,4,3,1]=>[1,2,3,7,6,5,4] [[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[2,6,5,7,4,3,1]=>[1,3,2,7,6,5,4] [[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[2,5,7,6,4,3,1]=>[1,2,7,6,5,4,3] [[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[2,6,7,5,4,3,1]=>[1,2,7,6,5,4,3] [[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[2,7,6,5,4,3,1]=>[1,7,6,5,4,3,2] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[3,4,5,6,7,2,1]=>[1,2,3,4,7,6,5] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[4,3,5,6,7,2,1]=>[2,1,3,4,7,6,5] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[3,5,4,6,7,2,1]=>[1,3,2,4,7,6,5] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[4,5,3,6,7,2,1]=>[1,3,2,4,7,6,5] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[5,4,3,6,7,2,1]=>[3,2,1,4,7,6,5] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[3,4,6,5,7,2,1]=>[1,2,4,3,7,6,5] [[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[4,3,6,5,7,2,1]=>[2,1,4,3,7,6,5] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[3,5,6,4,7,2,1]=>[1,2,4,3,7,6,5] [[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[3,6,5,4,7,2,1]=>[1,4,3,2,7,6,5] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[4,5,6,3,7,2,1]=>[1,2,4,3,7,6,5] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[5,4,6,3,7,2,1]=>[2,1,4,3,7,6,5] [[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[4,6,5,3,7,2,1]=>[1,4,3,2,7,6,5] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[5,6,4,3,7,2,1]=>[1,4,3,2,7,6,5] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[6,5,4,3,7,2,1]=>[4,3,2,1,7,6,5] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[3,4,5,7,6,2,1]=>[1,2,3,7,6,5,4] [[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[4,3,5,7,6,2,1]=>[2,1,3,7,6,5,4] [[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[3,5,4,7,6,2,1]=>[1,3,2,7,6,5,4] [[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[4,5,3,7,6,2,1]=>[1,3,2,7,6,5,4] [[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[5,4,3,7,6,2,1]=>[3,2,1,7,6,5,4] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[3,4,6,7,5,2,1]=>[1,2,3,7,6,5,4] [[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[4,3,6,7,5,2,1]=>[2,1,3,7,6,5,4] [[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[3,4,7,6,5,2,1]=>[1,2,7,6,5,4,3] [[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[4,3,7,6,5,2,1]=>[2,1,7,6,5,4,3] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[3,5,6,7,4,2,1]=>[1,2,3,7,6,5,4] [[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[3,6,5,7,4,2,1]=>[1,3,2,7,6,5,4] [[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[3,5,7,6,4,2,1]=>[1,2,7,6,5,4,3] [[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[3,6,7,5,4,2,1]=>[1,2,7,6,5,4,3] [[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[3,7,6,5,4,2,1]=>[1,7,6,5,4,3,2] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[5,4,6,7,3,2,1]=>[2,1,3,7,6,5,4] [[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[4,6,5,7,3,2,1]=>[1,3,2,7,6,5,4] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[5,6,4,7,3,2,1]=>[1,3,2,7,6,5,4] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[6,5,4,7,3,2,1]=>[3,2,1,7,6,5,4] [[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[4,5,7,6,3,2,1]=>[1,2,7,6,5,4,3] [[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[5,4,7,6,3,2,1]=>[2,1,7,6,5,4,3] [[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[4,6,7,5,3,2,1]=>[1,2,7,6,5,4,3] [[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[4,7,6,5,3,2,1]=>[1,7,6,5,4,3,2] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[5,6,7,4,3,2,1]=>[1,2,7,6,5,4,3] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[6,5,7,4,3,2,1]=>[2,1,7,6,5,4,3] [[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[5,7,6,4,3,2,1]=>[1,7,6,5,4,3,2] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[6,7,5,4,3,2,1]=>[1,7,6,5,4,3,2] [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
complement
Description
Sents a permutation to its complement.
The complement of a permutation $\sigma$ of length $n$ is the permutation $\tau$ with $\tau(i) = n+1-\sigma(i)$
Map
Inverse fireworks map
Description
Sends a permutation to an inverse fireworks permutation.
A permutation $\sigma$ is inverse fireworks if its inverse avoids the vincular pattern $3-12$. The inverse fireworks map sends any permutation $\sigma$ to an inverse fireworks permutation that is below $\sigma$ in left weak order and has the same Rajchgot index St001759The Rajchgot index of a permutation..