Identifier
Mp00017: Binary trees to 312-avoiding permutationPermutations
Mp00066: Permutations inversePermutations
Mp00254: Permutations Inverse fireworks mapPermutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[1] [.,[.,.]]=>[2,1]=>[2,1]=>[2,1] [[.,.],.]=>[1,2]=>[1,2]=>[1,2] [.,[.,[.,.]]]=>[3,2,1]=>[3,2,1]=>[3,2,1] [.,[[.,.],.]]=>[2,3,1]=>[3,1,2]=>[3,1,2] [[.,.],[.,.]]=>[1,3,2]=>[1,3,2]=>[1,3,2] [[.,[.,.]],.]=>[2,1,3]=>[2,1,3]=>[2,1,3] [[[.,.],.],.]=>[1,2,3]=>[1,2,3]=>[1,2,3] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1]=>[4,3,2,1] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[4,3,1,2]=>[4,3,1,2] [.,[[.,.],[.,.]]]=>[2,4,3,1]=>[4,1,3,2]=>[4,1,3,2] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[4,2,1,3]=>[4,2,1,3] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[4,1,2,3]=>[4,1,2,3] [[.,.],[.,[.,.]]]=>[1,4,3,2]=>[1,4,3,2]=>[1,4,3,2] [[.,.],[[.,.],.]]=>[1,3,4,2]=>[1,4,2,3]=>[1,4,2,3] [[.,[.,.]],[.,.]]=>[2,1,4,3]=>[2,1,4,3]=>[2,1,4,3] [[[.,.],.],[.,.]]=>[1,2,4,3]=>[1,2,4,3]=>[1,2,4,3] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1,4] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[3,1,2,4]=>[3,1,2,4] [[[.,.],[.,.]],.]=>[1,3,2,4]=>[1,3,2,4]=>[1,3,2,4] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3,4] [[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3,4] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[5,4,3,2,1] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[5,4,3,1,2]=>[5,4,3,1,2] [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[5,4,1,3,2]=>[5,4,1,3,2] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[5,4,2,1,3]=>[5,4,2,1,3] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[5,4,1,2,3]=>[5,4,1,2,3] [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[5,1,4,3,2]=>[5,1,4,3,2] [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[5,1,4,2,3]=>[5,1,4,2,3] [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[5,2,1,4,3]=>[5,2,1,4,3] [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[5,1,2,4,3]=>[5,1,2,4,3] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[5,3,2,1,4]=>[5,3,2,1,4] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[5,3,1,2,4]=>[5,3,1,2,4] [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[5,1,3,2,4]=>[5,1,3,2,4] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[5,2,1,3,4]=>[5,2,1,3,4] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[5,1,2,3,4]=>[5,1,2,3,4] [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,4,3,2] [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[1,5,4,2,3]=>[1,5,4,2,3] [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[1,5,2,4,3]=>[1,5,2,4,3] [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[1,5,3,2,4]=>[1,5,3,2,4] [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[1,5,2,3,4]=>[1,5,2,3,4] [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,5,4,3] [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[2,1,5,3,4]=>[2,1,5,3,4] [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,5,4,3] [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[1,2,5,3,4]=>[1,2,5,3,4] [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[3,2,1,5,4] [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[3,1,2,5,4]=>[3,1,2,5,4] [[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4] [[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[2,1,3,5,4]=>[2,1,3,5,4] [[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[1,2,3,5,4]=>[1,2,3,5,4] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1,5] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[4,3,1,2,5]=>[4,3,1,2,5] [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[4,1,3,2,5]=>[4,1,3,2,5] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[4,2,1,3,5]=>[4,2,1,3,5] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[4,1,2,3,5]=>[4,1,2,3,5] [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[1,4,3,2,5] [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[1,4,2,3,5]=>[1,4,2,3,5] [[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[2,1,4,3,5]=>[2,1,4,3,5] [[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[1,2,4,3,5]=>[1,2,4,3,5] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4,5] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[3,1,2,4,5]=>[3,1,2,4,5] [[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4,5] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4,5] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[6,5,4,3,1,2]=>[6,5,4,3,1,2] [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[6,5,4,1,3,2]=>[6,5,4,1,3,2] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[6,5,4,2,1,3]=>[6,5,4,2,1,3] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[6,5,4,1,2,3]=>[6,5,4,1,2,3] [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[6,5,1,4,3,2]=>[6,5,1,4,3,2] [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[6,5,1,4,2,3]=>[6,5,1,4,2,3] [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[6,5,2,1,4,3]=>[6,5,2,1,4,3] [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[6,5,1,2,4,3]=>[6,5,1,2,4,3] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[6,5,3,2,1,4]=>[6,5,3,2,1,4] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[6,5,3,1,2,4]=>[6,5,3,1,2,4] [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[6,5,1,3,2,4]=>[6,5,1,3,2,4] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[6,5,2,1,3,4]=>[6,5,2,1,3,4] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[6,5,1,2,3,4]=>[6,5,1,2,3,4] [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[6,1,5,4,3,2]=>[6,1,5,4,3,2] [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[6,1,5,4,2,3]=>[6,1,5,4,2,3] [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[6,1,5,2,4,3]=>[6,1,5,2,4,3] [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[6,1,5,3,2,4]=>[6,1,5,3,2,4] [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[6,1,5,2,3,4]=>[6,1,5,2,3,4] [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[6,2,1,5,4,3]=>[6,2,1,5,4,3] [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[6,2,1,5,3,4]=>[6,2,1,5,3,4] [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[6,1,2,5,4,3]=>[6,1,2,5,4,3] [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[6,1,2,5,3,4]=>[6,1,2,5,3,4] [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[6,3,2,1,5,4]=>[6,3,2,1,5,4] [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[6,3,1,2,5,4]=>[6,3,1,2,5,4] [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[6,1,3,2,5,4]=>[6,1,3,2,5,4] [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[6,2,1,3,5,4]=>[6,2,1,3,5,4] [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[6,1,2,3,5,4]=>[6,1,2,3,5,4] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[6,4,3,2,1,5]=>[6,4,3,2,1,5] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[6,4,3,1,2,5]=>[6,4,3,1,2,5] [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[6,4,1,3,2,5]=>[6,4,1,3,2,5] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[6,4,2,1,3,5]=>[6,4,2,1,3,5] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[6,4,1,2,3,5]=>[6,4,1,2,3,5] [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[6,1,4,3,2,5]=>[6,1,4,3,2,5] [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[6,1,4,2,3,5]=>[6,1,4,2,3,5] [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[6,2,1,4,3,5]=>[6,2,1,4,3,5] [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[6,1,2,4,3,5]=>[6,1,2,4,3,5] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[6,3,2,1,4,5]=>[6,3,2,1,4,5] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[6,3,1,2,4,5]=>[6,3,1,2,4,5] [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[6,1,3,2,4,5]=>[6,1,3,2,4,5] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[6,2,1,3,4,5]=>[6,2,1,3,4,5] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5] [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2] [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[1,6,5,4,2,3]=>[1,6,5,4,2,3] [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[1,6,5,2,4,3]=>[1,6,5,2,4,3] [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[1,6,5,3,2,4]=>[1,6,5,3,2,4] [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[1,6,5,2,3,4]=>[1,6,5,2,3,4] [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[1,6,2,5,4,3]=>[1,6,2,5,4,3] [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[1,6,2,5,3,4]=>[1,6,2,5,3,4] [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[1,6,3,2,5,4]=>[1,6,3,2,5,4] [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[1,6,2,3,5,4]=>[1,6,2,3,5,4] [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[1,6,4,3,2,5]=>[1,6,4,3,2,5] [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[1,6,4,2,3,5]=>[1,6,4,2,3,5] [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[1,6,2,4,3,5]=>[1,6,2,4,3,5] [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[1,6,3,2,4,5]=>[1,6,3,2,4,5] [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[1,6,2,3,4,5]=>[1,6,2,3,4,5] [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3] [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[2,1,6,5,3,4]=>[2,1,6,5,3,4] [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[2,1,6,3,5,4]=>[2,1,6,3,5,4] [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[2,1,6,4,3,5]=>[2,1,6,4,3,5] [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[2,1,6,3,4,5]=>[2,1,6,3,4,5] [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3] [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[1,2,6,5,3,4]=>[1,2,6,5,3,4] [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[1,2,6,3,5,4]=>[1,2,6,3,5,4] [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[1,2,6,4,3,5]=>[1,2,6,4,3,5] [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[1,2,6,3,4,5]=>[1,2,6,3,4,5] [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4] [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[3,2,1,6,4,5]=>[3,2,1,6,4,5] [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[3,1,2,6,5,4]=>[3,1,2,6,5,4] [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[3,1,2,6,4,5]=>[3,1,2,6,4,5] [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4] [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[1,3,2,6,4,5]=>[1,3,2,6,4,5] [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4] [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[2,1,3,6,4,5]=>[2,1,3,6,4,5] [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4] [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[1,2,3,6,4,5]=>[1,2,3,6,4,5] [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5] [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[4,3,1,2,6,5]=>[4,3,1,2,6,5] [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[4,1,3,2,6,5]=>[4,1,3,2,6,5] [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[4,2,1,3,6,5]=>[4,2,1,3,6,5] [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[4,1,2,3,6,5]=>[4,1,2,3,6,5] [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5] [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[1,4,2,3,6,5]=>[1,4,2,3,6,5] [[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5]=>[3,2,1,4,6,5] [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[3,1,2,4,6,5]=>[3,1,2,4,6,5] [[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[5,4,3,1,2,6]=>[5,4,3,1,2,6] [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[5,4,1,3,2,6]=>[5,4,1,3,2,6] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[5,4,2,1,3,6]=>[5,4,2,1,3,6] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[5,4,1,2,3,6]=>[5,4,1,2,3,6] [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[5,1,4,3,2,6]=>[5,1,4,3,2,6] [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[5,1,4,2,3,6]=>[5,1,4,2,3,6] [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[5,2,1,4,3,6]=>[5,2,1,4,3,6] [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[5,1,2,4,3,6]=>[5,1,2,4,3,6] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[5,3,2,1,4,6]=>[5,3,2,1,4,6] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[5,3,1,2,4,6]=>[5,3,1,2,4,6] [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[5,1,3,2,4,6]=>[5,1,3,2,4,6] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[5,2,1,3,4,6]=>[5,2,1,3,4,6] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6] [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6] [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[1,5,4,2,3,6]=>[1,5,4,2,3,6] [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[1,5,2,4,3,6]=>[1,5,2,4,3,6] [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[1,5,3,2,4,6]=>[1,5,3,2,4,6] [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[1,5,2,3,4,6]=>[1,5,2,3,4,6] [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6] [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[2,1,5,3,4,6]=>[2,1,5,3,4,6] [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6] [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[1,2,5,3,4,6]=>[1,2,5,3,4,6] [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6] [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[3,1,2,5,4,6]=>[3,1,2,5,4,6] [[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[4,3,1,2,5,6]=>[4,3,1,2,5,6] [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[4,1,3,2,5,6]=>[4,1,3,2,5,6] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[4,2,1,3,5,6]=>[4,2,1,3,5,6] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6] [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6] [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[1,4,2,3,5,6]=>[1,4,2,3,5,6] [[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6] [[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6] [[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[7,6,5,4,1,3,2]=>[7,6,5,4,1,3,2] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[7,6,5,4,1,2,3]=>[7,6,5,4,1,2,3] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[7,6,5,1,4,3,2]=>[7,6,5,1,4,3,2] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[7,6,5,1,4,2,3]=>[7,6,5,1,4,2,3] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[7,6,5,2,1,4,3]=>[7,6,5,2,1,4,3] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[7,6,5,1,2,4,3]=>[7,6,5,1,2,4,3] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[7,6,5,3,1,2,4]=>[7,6,5,3,1,2,4] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[7,6,5,1,3,2,4]=>[7,6,5,1,3,2,4] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[7,6,5,2,1,3,4]=>[7,6,5,2,1,3,4] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[7,6,5,1,2,3,4]=>[7,6,5,1,2,3,4] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[7,6,1,5,4,3,2]=>[7,6,1,5,4,3,2] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[7,6,1,5,4,2,3]=>[7,6,1,5,4,2,3] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[7,6,1,5,2,4,3]=>[7,6,1,5,2,4,3] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[7,6,1,5,3,2,4]=>[7,6,1,5,3,2,4] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[7,6,1,5,2,3,4]=>[7,6,1,5,2,3,4] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[7,6,2,1,5,4,3]=>[7,6,2,1,5,4,3] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[7,6,2,1,5,3,4]=>[7,6,2,1,5,3,4] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[7,6,1,2,5,4,3]=>[7,6,1,2,5,4,3] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[7,6,1,2,5,3,4]=>[7,6,1,2,5,3,4] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[7,6,3,2,1,5,4]=>[7,6,3,2,1,5,4] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[7,6,3,1,2,5,4]=>[7,6,3,1,2,5,4] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[7,6,1,3,2,5,4]=>[7,6,1,3,2,5,4] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[7,6,2,1,3,5,4]=>[7,6,2,1,3,5,4] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[7,6,1,2,3,5,4]=>[7,6,1,2,3,5,4] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[7,6,4,3,1,2,5]=>[7,6,4,3,1,2,5] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[7,6,4,1,3,2,5]=>[7,6,4,1,3,2,5] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[7,6,4,2,1,3,5]=>[7,6,4,2,1,3,5] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[7,6,4,1,2,3,5]=>[7,6,4,1,2,3,5] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[7,6,1,4,3,2,5]=>[7,6,1,4,3,2,5] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[7,6,1,4,2,3,5]=>[7,6,1,4,2,3,5] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[7,6,2,1,4,3,5]=>[7,6,2,1,4,3,5] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[7,6,1,2,4,3,5]=>[7,6,1,2,4,3,5] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[7,6,3,2,1,4,5]=>[7,6,3,2,1,4,5] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[7,6,3,1,2,4,5]=>[7,6,3,1,2,4,5] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[7,6,1,3,2,4,5]=>[7,6,1,3,2,4,5] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[7,6,2,1,3,4,5]=>[7,6,2,1,3,4,5] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[7,6,1,2,3,4,5]=>[7,6,1,2,3,4,5] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[7,1,6,5,4,3,2]=>[7,1,6,5,4,3,2] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[7,1,6,5,4,2,3]=>[7,1,6,5,4,2,3] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[7,1,6,5,2,4,3]=>[7,1,6,5,2,4,3] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[7,1,6,5,3,2,4]=>[7,1,6,5,3,2,4] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[7,1,6,5,2,3,4]=>[7,1,6,5,2,3,4] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[7,1,6,2,5,4,3]=>[7,1,6,2,5,4,3] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[7,1,6,2,5,3,4]=>[7,1,6,2,5,3,4] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[7,1,6,3,2,5,4]=>[7,1,6,3,2,5,4] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[7,1,6,2,3,5,4]=>[7,1,6,2,3,5,4] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[7,1,6,4,3,2,5]=>[7,1,6,4,3,2,5] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[7,1,6,4,2,3,5]=>[7,1,6,4,2,3,5] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[7,1,6,2,4,3,5]=>[7,1,6,2,4,3,5] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[7,1,6,3,2,4,5]=>[7,1,6,3,2,4,5] [.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[7,1,6,2,3,4,5]=>[7,1,6,2,3,4,5] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[7,2,1,6,5,4,3]=>[7,2,1,6,5,4,3] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[7,2,1,6,5,3,4]=>[7,2,1,6,5,3,4] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[7,2,1,6,3,5,4]=>[7,2,1,6,3,5,4] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[7,2,1,6,4,3,5]=>[7,2,1,6,4,3,5] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[7,2,1,6,3,4,5]=>[7,2,1,6,3,4,5] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[7,1,2,6,5,4,3]=>[7,1,2,6,5,4,3] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[7,1,2,6,5,3,4]=>[7,1,2,6,5,3,4] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[7,1,2,6,3,5,4]=>[7,1,2,6,3,5,4] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[7,1,2,6,4,3,5]=>[7,1,2,6,4,3,5] [.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[7,1,2,6,3,4,5]=>[7,1,2,6,3,4,5] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[7,3,2,1,6,5,4]=>[7,3,2,1,6,5,4] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[7,3,2,1,6,4,5]=>[7,3,2,1,6,4,5] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[7,3,1,2,6,5,4]=>[7,3,1,2,6,5,4] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[7,3,1,2,6,4,5]=>[7,3,1,2,6,4,5] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[7,1,3,2,6,5,4]=>[7,1,3,2,6,5,4] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[7,1,3,2,6,4,5]=>[7,1,3,2,6,4,5] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[7,2,1,3,6,5,4]=>[7,2,1,3,6,5,4] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[7,2,1,3,6,4,5]=>[7,2,1,3,6,4,5] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[7,1,2,3,6,5,4]=>[7,1,2,3,6,5,4] [.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[7,1,2,3,6,4,5]=>[7,1,2,3,6,4,5] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[7,4,3,2,1,6,5]=>[7,4,3,2,1,6,5] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[7,4,3,1,2,6,5]=>[7,4,3,1,2,6,5] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[7,4,1,3,2,6,5]=>[7,4,1,3,2,6,5] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[7,4,2,1,3,6,5]=>[7,4,2,1,3,6,5] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[7,4,1,2,3,6,5]=>[7,4,1,2,3,6,5] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[7,1,4,3,2,6,5]=>[7,1,4,3,2,6,5] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[7,1,4,2,3,6,5]=>[7,1,4,2,3,6,5] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[7,2,1,4,3,6,5]=>[7,2,1,4,3,6,5] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[7,1,2,4,3,6,5]=>[7,1,2,4,3,6,5] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[7,3,2,1,4,6,5]=>[7,3,2,1,4,6,5] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[7,3,1,2,4,6,5]=>[7,3,1,2,4,6,5] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[7,1,3,2,4,6,5]=>[7,1,3,2,4,6,5] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[7,2,1,3,4,6,5]=>[7,2,1,3,4,6,5] [.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[7,1,2,3,4,6,5]=>[7,1,2,3,4,6,5] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[7,5,4,3,2,1,6]=>[7,5,4,3,2,1,6] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[7,5,4,3,1,2,6]=>[7,5,4,3,1,2,6] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[7,5,4,1,3,2,6]=>[7,5,4,1,3,2,6] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[7,5,4,2,1,3,6]=>[7,5,4,2,1,3,6] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[7,5,4,1,2,3,6]=>[7,5,4,1,2,3,6] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[7,5,1,4,3,2,6]=>[7,5,1,4,3,2,6] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[7,5,1,4,2,3,6]=>[7,5,1,4,2,3,6] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[7,5,2,1,4,3,6]=>[7,5,2,1,4,3,6] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[7,5,1,2,4,3,6]=>[7,5,1,2,4,3,6] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[7,5,3,2,1,4,6]=>[7,5,3,2,1,4,6] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[7,5,3,1,2,4,6]=>[7,5,3,1,2,4,6] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[7,5,1,3,2,4,6]=>[7,5,1,3,2,4,6] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[7,5,2,1,3,4,6]=>[7,5,2,1,3,4,6] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[7,5,1,2,3,4,6]=>[7,5,1,2,3,4,6] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[7,1,5,4,3,2,6]=>[7,1,5,4,3,2,6] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[7,1,5,4,2,3,6]=>[7,1,5,4,2,3,6] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[7,1,5,2,4,3,6]=>[7,1,5,2,4,3,6] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[7,1,5,3,2,4,6]=>[7,1,5,3,2,4,6] [.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[7,1,5,2,3,4,6]=>[7,1,5,2,3,4,6] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[7,2,1,5,4,3,6]=>[7,2,1,5,4,3,6] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[7,2,1,5,3,4,6]=>[7,2,1,5,3,4,6] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[7,1,2,5,4,3,6]=>[7,1,2,5,4,3,6] [.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[7,1,2,5,3,4,6]=>[7,1,2,5,3,4,6] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[7,3,2,1,5,4,6]=>[7,3,2,1,5,4,6] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[7,3,1,2,5,4,6]=>[7,3,1,2,5,4,6] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[7,1,3,2,5,4,6]=>[7,1,3,2,5,4,6] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[7,2,1,3,5,4,6]=>[7,2,1,3,5,4,6] [.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[7,1,2,3,5,4,6]=>[7,1,2,3,5,4,6] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[7,4,3,2,1,5,6]=>[7,4,3,2,1,5,6] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[7,4,3,1,2,5,6]=>[7,4,3,1,2,5,6] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[7,4,1,3,2,5,6]=>[7,4,1,3,2,5,6] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[7,4,2,1,3,5,6]=>[7,4,2,1,3,5,6] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[7,4,1,2,3,5,6]=>[7,4,1,2,3,5,6] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[7,1,4,3,2,5,6]=>[7,1,4,3,2,5,6] [.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[7,1,4,2,3,5,6]=>[7,1,4,2,3,5,6] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[7,2,1,4,3,5,6]=>[7,2,1,4,3,5,6] [.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[7,1,2,4,3,5,6]=>[7,1,2,4,3,5,6] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[7,3,2,1,4,5,6]=>[7,3,2,1,4,5,6] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[7,3,1,2,4,5,6]=>[7,3,1,2,4,5,6] [.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[7,1,3,2,4,5,6]=>[7,1,3,2,4,5,6] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[7,2,1,3,4,5,6]=>[7,2,1,3,4,5,6] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[7,1,2,3,4,5,6]=>[7,1,2,3,4,5,6] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[1,7,6,5,4,2,3]=>[1,7,6,5,4,2,3] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[1,7,6,5,2,4,3]=>[1,7,6,5,2,4,3] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[1,7,6,5,3,2,4]=>[1,7,6,5,3,2,4] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[1,7,6,5,2,3,4]=>[1,7,6,5,2,3,4] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[1,7,6,2,5,4,3]=>[1,7,6,2,5,4,3] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[1,7,6,2,5,3,4]=>[1,7,6,2,5,3,4] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[1,7,6,3,2,5,4]=>[1,7,6,3,2,5,4] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[1,7,6,2,3,5,4]=>[1,7,6,2,3,5,4] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[1,7,6,4,3,2,5]=>[1,7,6,4,3,2,5] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[1,7,6,4,2,3,5]=>[1,7,6,4,2,3,5] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[1,7,6,2,4,3,5]=>[1,7,6,2,4,3,5] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[1,7,6,3,2,4,5]=>[1,7,6,3,2,4,5] [[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[1,7,6,2,3,4,5]=>[1,7,6,2,3,4,5] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[1,7,2,6,5,4,3]=>[1,7,2,6,5,4,3] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[1,7,2,6,5,3,4]=>[1,7,2,6,5,3,4] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[1,7,2,6,3,5,4]=>[1,7,2,6,3,5,4] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[1,7,2,6,4,3,5]=>[1,7,2,6,4,3,5] [[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[1,7,2,6,3,4,5]=>[1,7,2,6,3,4,5] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[1,7,3,2,6,5,4]=>[1,7,3,2,6,5,4] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[1,7,3,2,6,4,5]=>[1,7,3,2,6,4,5] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[1,7,2,3,6,5,4]=>[1,7,2,3,6,5,4] [[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[1,7,2,3,6,4,5]=>[1,7,2,3,6,4,5] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[1,7,4,3,2,6,5]=>[1,7,4,3,2,6,5] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[1,7,4,2,3,6,5]=>[1,7,4,2,3,6,5] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[1,7,2,4,3,6,5]=>[1,7,2,4,3,6,5] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[1,7,3,2,4,6,5]=>[1,7,3,2,4,6,5] [[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[1,7,2,3,4,6,5]=>[1,7,2,3,4,6,5] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[1,7,5,4,3,2,6]=>[1,7,5,4,3,2,6] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[1,7,5,4,2,3,6]=>[1,7,5,4,2,3,6] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[1,7,5,2,4,3,6]=>[1,7,5,2,4,3,6] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[1,7,5,3,2,4,6]=>[1,7,5,3,2,4,6] [[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[1,7,5,2,3,4,6]=>[1,7,5,2,3,4,6] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[1,7,2,5,4,3,6]=>[1,7,2,5,4,3,6] [[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[1,7,2,5,3,4,6]=>[1,7,2,5,3,4,6] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[1,7,3,2,5,4,6]=>[1,7,3,2,5,4,6] [[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[1,7,2,3,5,4,6]=>[1,7,2,3,5,4,6] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[1,7,4,3,2,5,6]=>[1,7,4,3,2,5,6] [[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[1,7,4,2,3,5,6]=>[1,7,4,2,3,5,6] [[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[1,7,2,4,3,5,6]=>[1,7,2,4,3,5,6] [[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[1,7,3,2,4,5,6]=>[1,7,3,2,4,5,6] [[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[1,7,2,3,4,5,6]=>[1,7,2,3,4,5,6] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[2,1,7,6,5,3,4]=>[2,1,7,6,5,3,4] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[2,1,7,6,3,5,4]=>[2,1,7,6,3,5,4] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[2,1,7,6,4,3,5]=>[2,1,7,6,4,3,5] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[2,1,7,6,3,4,5]=>[2,1,7,6,3,4,5] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[2,1,7,3,6,5,4]=>[2,1,7,3,6,5,4] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[2,1,7,3,6,4,5]=>[2,1,7,3,6,4,5] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[2,1,7,4,3,6,5]=>[2,1,7,4,3,6,5] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[2,1,7,3,4,6,5]=>[2,1,7,3,4,6,5] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[2,1,7,5,4,3,6]=>[2,1,7,5,4,3,6] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[2,1,7,5,3,4,6]=>[2,1,7,5,3,4,6] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[2,1,7,3,5,4,6]=>[2,1,7,3,5,4,6] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[2,1,7,4,3,5,6]=>[2,1,7,4,3,5,6] [[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[2,1,7,3,4,5,6]=>[2,1,7,3,4,5,6] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[1,2,7,6,5,3,4]=>[1,2,7,6,5,3,4] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[1,2,7,6,3,5,4]=>[1,2,7,6,3,5,4] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[1,2,7,6,4,3,5]=>[1,2,7,6,4,3,5] [[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[1,2,7,6,3,4,5]=>[1,2,7,6,3,4,5] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[1,2,7,3,6,5,4]=>[1,2,7,3,6,5,4] [[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[1,2,7,3,6,4,5]=>[1,2,7,3,6,4,5] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[1,2,7,4,3,6,5]=>[1,2,7,4,3,6,5] [[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[1,2,7,3,4,6,5]=>[1,2,7,3,4,6,5] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[1,2,7,5,4,3,6]=>[1,2,7,5,4,3,6] [[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[1,2,7,5,3,4,6]=>[1,2,7,5,3,4,6] [[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[1,2,7,3,5,4,6]=>[1,2,7,3,5,4,6] [[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[1,2,7,4,3,5,6]=>[1,2,7,4,3,5,6] [[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[1,2,7,3,4,5,6]=>[1,2,7,3,4,5,6] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[3,2,1,7,6,4,5]=>[3,2,1,7,6,4,5] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[3,2,1,7,4,6,5]=>[3,2,1,7,4,6,5] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[3,2,1,7,5,4,6]=>[3,2,1,7,5,4,6] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[3,2,1,7,4,5,6]=>[3,2,1,7,4,5,6] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[3,1,2,7,6,5,4]=>[3,1,2,7,6,5,4] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[3,1,2,7,6,4,5]=>[3,1,2,7,6,4,5] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[3,1,2,7,4,6,5]=>[3,1,2,7,4,6,5] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[3,1,2,7,5,4,6]=>[3,1,2,7,5,4,6] [[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[3,1,2,7,4,5,6]=>[3,1,2,7,4,5,6] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[1,3,2,7,6,4,5]=>[1,3,2,7,6,4,5] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[1,3,2,7,4,6,5]=>[1,3,2,7,4,6,5] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[1,3,2,7,5,4,6]=>[1,3,2,7,5,4,6] [[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[1,3,2,7,4,5,6]=>[1,3,2,7,4,5,6] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[2,1,3,7,6,4,5]=>[2,1,3,7,6,4,5] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[2,1,3,7,4,6,5]=>[2,1,3,7,4,6,5] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[2,1,3,7,5,4,6]=>[2,1,3,7,5,4,6] [[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[2,1,3,7,4,5,6]=>[2,1,3,7,4,5,6] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4] [[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[1,2,3,7,6,4,5]=>[1,2,3,7,6,4,5] [[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[1,2,3,7,4,6,5]=>[1,2,3,7,4,6,5] [[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[1,2,3,7,5,4,6]=>[1,2,3,7,5,4,6] [[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[1,2,3,7,4,5,6]=>[1,2,3,7,4,5,6] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[4,3,2,1,7,5,6]=>[4,3,2,1,7,5,6] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[4,3,1,2,7,6,5]=>[4,3,1,2,7,6,5] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[4,3,1,2,7,5,6]=>[4,3,1,2,7,5,6] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[4,1,3,2,7,6,5]=>[4,1,3,2,7,6,5] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[4,1,3,2,7,5,6]=>[4,1,3,2,7,5,6] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[4,2,1,3,7,6,5]=>[4,2,1,3,7,6,5] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[4,2,1,3,7,5,6]=>[4,2,1,3,7,5,6] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[4,1,2,3,7,6,5]=>[4,1,2,3,7,6,5] [[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[4,1,2,3,7,5,6]=>[4,1,2,3,7,5,6] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[1,4,3,2,7,5,6]=>[1,4,3,2,7,5,6] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[1,4,2,3,7,6,5]=>[1,4,2,3,7,6,5] [[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[1,4,2,3,7,5,6]=>[1,4,2,3,7,5,6] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[2,1,4,3,7,5,6]=>[2,1,4,3,7,5,6] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5] [[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[1,2,4,3,7,5,6]=>[1,2,4,3,7,5,6] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[3,2,1,4,7,5,6]=>[3,2,1,4,7,5,6] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[3,1,2,4,7,6,5]=>[3,1,2,4,7,6,5] [[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[3,1,2,4,7,5,6]=>[3,1,2,4,7,5,6] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5] [[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[1,3,2,4,7,5,6]=>[1,3,2,4,7,5,6] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5] [[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[2,1,3,4,7,5,6]=>[2,1,3,4,7,5,6] [[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5] [[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[1,2,3,4,7,5,6]=>[1,2,3,4,7,5,6] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[5,4,3,1,2,7,6]=>[5,4,3,1,2,7,6] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[5,4,1,3,2,7,6]=>[5,4,1,3,2,7,6] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[5,4,2,1,3,7,6]=>[5,4,2,1,3,7,6] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[5,4,1,2,3,7,6]=>[5,4,1,2,3,7,6] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[5,1,4,3,2,7,6]=>[5,1,4,3,2,7,6] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[5,1,4,2,3,7,6]=>[5,1,4,2,3,7,6] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[5,2,1,4,3,7,6]=>[5,2,1,4,3,7,6] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[5,1,2,4,3,7,6]=>[5,1,2,4,3,7,6] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[5,3,2,1,4,7,6]=>[5,3,2,1,4,7,6] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[5,3,1,2,4,7,6]=>[5,3,1,2,4,7,6] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[5,1,3,2,4,7,6]=>[5,1,3,2,4,7,6] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[5,2,1,3,4,7,6]=>[5,2,1,3,4,7,6] [[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[5,1,2,3,4,7,6]=>[5,1,2,3,4,7,6] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[1,5,4,2,3,7,6]=>[1,5,4,2,3,7,6] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[1,5,2,4,3,7,6]=>[1,5,2,4,3,7,6] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[1,5,3,2,4,7,6]=>[1,5,3,2,4,7,6] [[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[1,5,2,3,4,7,6]=>[1,5,2,3,4,7,6] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[2,1,5,3,4,7,6]=>[2,1,5,3,4,7,6] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6] [[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[1,2,5,3,4,7,6]=>[1,2,5,3,4,7,6] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[3,1,2,5,4,7,6]=>[3,1,2,5,4,7,6] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6]=>[4,3,2,1,5,7,6] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[4,3,1,2,5,7,6]=>[4,3,1,2,5,7,6] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[4,1,3,2,5,7,6]=>[4,1,3,2,5,7,6] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[4,2,1,3,5,7,6]=>[4,2,1,3,5,7,6] [[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[4,1,2,3,5,7,6]=>[4,1,2,3,5,7,6] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6] [[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[1,4,2,3,5,7,6]=>[1,4,2,3,5,7,6] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6]=>[3,2,1,4,5,7,6] [[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[3,1,2,4,5,7,6]=>[3,1,2,4,5,7,6] [[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [[[[[.,[.,.]],.],.],.],[.,.]]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6] [[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[6,5,4,3,1,2,7]=>[6,5,4,3,1,2,7] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[6,5,4,1,3,2,7]=>[6,5,4,1,3,2,7] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[6,5,4,2,1,3,7]=>[6,5,4,2,1,3,7] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[6,5,4,1,2,3,7]=>[6,5,4,1,2,3,7] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[6,5,1,4,3,2,7]=>[6,5,1,4,3,2,7] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[6,5,1,4,2,3,7]=>[6,5,1,4,2,3,7] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[6,5,2,1,4,3,7]=>[6,5,2,1,4,3,7] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[6,5,1,2,4,3,7]=>[6,5,1,2,4,3,7] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[6,5,3,2,1,4,7]=>[6,5,3,2,1,4,7] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[6,5,3,1,2,4,7]=>[6,5,3,1,2,4,7] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[6,5,1,3,2,4,7]=>[6,5,1,3,2,4,7] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[6,5,2,1,3,4,7]=>[6,5,2,1,3,4,7] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[6,5,1,2,3,4,7]=>[6,5,1,2,3,4,7] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[6,1,5,4,3,2,7]=>[6,1,5,4,3,2,7] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[6,1,5,4,2,3,7]=>[6,1,5,4,2,3,7] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[6,1,5,2,4,3,7]=>[6,1,5,2,4,3,7] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[6,1,5,3,2,4,7]=>[6,1,5,3,2,4,7] [[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[6,1,5,2,3,4,7]=>[6,1,5,2,3,4,7] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[6,2,1,5,4,3,7]=>[6,2,1,5,4,3,7] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[6,2,1,5,3,4,7]=>[6,2,1,5,3,4,7] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[6,1,2,5,4,3,7]=>[6,1,2,5,4,3,7] [[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[6,1,2,5,3,4,7]=>[6,1,2,5,3,4,7] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[6,3,2,1,5,4,7]=>[6,3,2,1,5,4,7] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[6,3,1,2,5,4,7]=>[6,3,1,2,5,4,7] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[6,1,3,2,5,4,7]=>[6,1,3,2,5,4,7] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[6,2,1,3,5,4,7]=>[6,2,1,3,5,4,7] [[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[6,1,2,3,5,4,7]=>[6,1,2,3,5,4,7] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[6,4,3,2,1,5,7]=>[6,4,3,2,1,5,7] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[6,4,3,1,2,5,7]=>[6,4,3,1,2,5,7] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[6,4,1,3,2,5,7]=>[6,4,1,3,2,5,7] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[6,4,2,1,3,5,7]=>[6,4,2,1,3,5,7] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[6,4,1,2,3,5,7]=>[6,4,1,2,3,5,7] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[6,1,4,3,2,5,7]=>[6,1,4,3,2,5,7] [[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[6,1,4,2,3,5,7]=>[6,1,4,2,3,5,7] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[6,2,1,4,3,5,7]=>[6,2,1,4,3,5,7] [[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[6,1,2,4,3,5,7]=>[6,1,2,4,3,5,7] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[6,3,2,1,4,5,7]=>[6,3,2,1,4,5,7] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[6,3,1,2,4,5,7]=>[6,3,1,2,4,5,7] [[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[6,1,3,2,4,5,7]=>[6,1,3,2,4,5,7] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[6,2,1,3,4,5,7]=>[6,2,1,3,4,5,7] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[6,1,2,3,4,5,7]=>[6,1,2,3,4,5,7] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[1,6,5,4,2,3,7]=>[1,6,5,4,2,3,7] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[1,6,5,2,4,3,7]=>[1,6,5,2,4,3,7] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[1,6,5,3,2,4,7]=>[1,6,5,3,2,4,7] [[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[1,6,5,2,3,4,7]=>[1,6,5,2,3,4,7] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[1,6,2,5,4,3,7]=>[1,6,2,5,4,3,7] [[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[1,6,2,5,3,4,7]=>[1,6,2,5,3,4,7] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[1,6,3,2,5,4,7]=>[1,6,3,2,5,4,7] [[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[1,6,2,3,5,4,7]=>[1,6,2,3,5,4,7] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[1,6,4,3,2,5,7]=>[1,6,4,3,2,5,7] [[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[1,6,4,2,3,5,7]=>[1,6,4,2,3,5,7] [[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[1,6,2,4,3,5,7]=>[1,6,2,4,3,5,7] [[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[1,6,3,2,4,5,7]=>[1,6,3,2,4,5,7] [[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[1,6,2,3,4,5,7]=>[1,6,2,3,4,5,7] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[2,1,6,5,3,4,7]=>[2,1,6,5,3,4,7] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[2,1,6,3,5,4,7]=>[2,1,6,3,5,4,7] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[2,1,6,4,3,5,7]=>[2,1,6,4,3,5,7] [[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[2,1,6,3,4,5,7]=>[2,1,6,3,4,5,7] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7] [[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[1,2,6,5,3,4,7]=>[1,2,6,5,3,4,7] [[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[1,2,6,3,5,4,7]=>[1,2,6,3,5,4,7] [[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[1,2,6,4,3,5,7]=>[1,2,6,4,3,5,7] [[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[1,2,6,3,4,5,7]=>[1,2,6,3,4,5,7] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[3,2,1,6,4,5,7]=>[3,2,1,6,4,5,7] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[3,1,2,6,5,4,7]=>[3,1,2,6,5,4,7] [[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[3,1,2,6,4,5,7]=>[3,1,2,6,4,5,7] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7] [[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5,7] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7] [[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[2,1,3,6,4,5,7]=>[2,1,3,6,4,5,7] [[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7] [[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[1,2,3,6,4,5,7]=>[1,2,3,6,4,5,7] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[4,3,1,2,6,5,7]=>[4,3,1,2,6,5,7] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[4,1,3,2,6,5,7]=>[4,1,3,2,6,5,7] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[4,2,1,3,6,5,7]=>[4,2,1,3,6,5,7] [[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[4,1,2,3,6,5,7]=>[4,1,2,3,6,5,7] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7] [[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[1,4,2,3,6,5,7]=>[1,4,2,3,6,5,7] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7] [[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7]=>[3,2,1,4,6,5,7] [[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[3,1,2,4,6,5,7]=>[3,1,2,4,6,5,7] [[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] [[[[[.,[.,.]],.],.],[.,.]],.]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7] [[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[5,4,3,1,2,6,7]=>[5,4,3,1,2,6,7] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[5,4,1,3,2,6,7]=>[5,4,1,3,2,6,7] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[5,4,2,1,3,6,7]=>[5,4,2,1,3,6,7] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[5,4,1,2,3,6,7]=>[5,4,1,2,3,6,7] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[5,1,4,3,2,6,7]=>[5,1,4,3,2,6,7] [[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[5,1,4,2,3,6,7]=>[5,1,4,2,3,6,7] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[5,2,1,4,3,6,7]=>[5,2,1,4,3,6,7] [[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[5,1,2,4,3,6,7]=>[5,1,2,4,3,6,7] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[5,3,2,1,4,6,7]=>[5,3,2,1,4,6,7] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[5,3,1,2,4,6,7]=>[5,3,1,2,4,6,7] [[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[5,1,3,2,4,6,7]=>[5,1,3,2,4,6,7] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[5,2,1,3,4,6,7]=>[5,2,1,3,4,6,7] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7] [[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[1,5,4,2,3,6,7]=>[1,5,4,2,3,6,7] [[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[1,5,2,4,3,6,7]=>[1,5,2,4,3,6,7] [[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[1,5,3,2,4,6,7]=>[1,5,3,2,4,6,7] [[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[1,5,2,3,4,6,7]=>[1,5,2,3,4,6,7] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7] [[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[2,1,5,3,4,6,7]=>[2,1,5,3,4,6,7] [[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7] [[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[1,2,5,3,4,6,7]=>[1,2,5,3,4,6,7] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7] [[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[3,1,2,5,4,6,7]=>[3,1,2,5,4,6,7] [[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7] [[[[[.,[.,.]],.],[.,.]],.],.]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7] [[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[4,3,1,2,5,6,7]=>[4,3,1,2,5,6,7] [[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[4,1,3,2,5,6,7]=>[4,1,3,2,5,6,7] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[4,2,1,3,5,6,7]=>[4,2,1,3,5,6,7] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7] [[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7] [[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[1,4,2,3,5,6,7]=>[1,4,2,3,5,6,7] [[[[[.,[.,.]],[.,.]],.],.],.]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7] [[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7] [[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7] [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.
Map
inverse
Description
Sends a permutation to its inverse.
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..