Identifier
Mp00014: Binary trees —to 132-avoiding permutation⟶ Permutations
Mp00254: Permutations —Inverse fireworks map⟶ Permutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1] [.,[.,.]]=>[2,1]=>[2,1] [[.,.],.]=>[1,2]=>[1,2] [.,[.,[.,.]]]=>[3,2,1]=>[3,2,1] [.,[[.,.],.]]=>[2,3,1]=>[1,3,2] [[.,.],[.,.]]=>[3,1,2]=>[3,1,2] [[.,[.,.]],.]=>[2,1,3]=>[2,1,3] [[[.,.],.],.]=>[1,2,3]=>[1,2,3] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[1,4,3,2] [.,[[.,.],[.,.]]]=>[4,2,3,1]=>[4,1,3,2] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[2,1,4,3] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[1,2,4,3] [[.,.],[.,[.,.]]]=>[4,3,1,2]=>[4,3,1,2] [[.,.],[[.,.],.]]=>[3,4,1,2]=>[2,4,1,3] [[.,[.,.]],[.,.]]=>[4,2,1,3]=>[4,2,1,3] [[[.,.],.],[.,.]]=>[4,1,2,3]=>[4,1,2,3] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1,4] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[1,3,2,4] [[[.,.],[.,.]],.]=>[3,1,2,4]=>[3,1,2,4] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,1,3,4] [[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,4,3,2,1] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[1,5,4,3,2] [.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[5,1,4,3,2] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[2,1,5,4,3] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[1,2,5,4,3] [.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[5,4,1,3,2] [.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[2,5,1,4,3] [.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[5,2,1,4,3] [.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[5,1,2,4,3] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[3,2,1,5,4] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[1,3,2,5,4] [.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[3,1,2,5,4] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[2,1,3,5,4] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[1,2,3,5,4] [[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[5,4,3,1,2] [[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[2,5,4,1,3] [[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[5,2,4,1,3] [[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[3,2,5,1,4] [[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[1,3,5,2,4] [[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[5,4,2,1,3] [[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[3,5,2,1,4] [[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[5,4,1,2,3] [[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[3,5,1,2,4] [[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[5,3,2,1,4] [[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[5,1,3,2,4] [[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[5,3,1,2,4] [[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[5,2,1,3,4] [[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[5,1,2,3,4] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1,5] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[1,4,3,2,5] [[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[4,1,3,2,5] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[2,1,4,3,5] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[1,2,4,3,5] [[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[4,3,1,2,5] [[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[2,4,1,3,5] [[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[4,2,1,3,5] [[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[4,1,2,3,5] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,2,1,4,5] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[1,3,2,4,5] [[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[3,1,2,4,5] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,1,3,4,5] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,2,3,4,5] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[1,6,5,4,3,2] [.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[6,1,5,4,3,2] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[2,1,6,5,4,3] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[1,2,6,5,4,3] [.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[6,5,1,4,3,2] [.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[2,6,1,5,4,3] [.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[6,2,1,5,4,3] [.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[6,1,2,5,4,3] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[3,2,1,6,5,4] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[1,3,2,6,5,4] [.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[3,1,2,6,5,4] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[2,1,3,6,5,4] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[1,2,3,6,5,4] [.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[6,5,4,1,3,2] [.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[2,6,5,1,4,3] [.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[6,2,5,1,4,3] [.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[3,2,6,1,5,4] [.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[1,3,6,2,5,4] [.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[6,5,2,1,4,3] [.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[3,6,2,1,5,4] [.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[6,5,1,2,4,3] [.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[3,6,1,2,5,4] [.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[6,3,2,1,5,4] [.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[6,1,3,2,5,4] [.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[6,3,1,2,5,4] [.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[6,2,1,3,5,4] [.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[6,1,2,3,5,4] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[4,3,2,1,6,5] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[1,4,3,2,6,5] [.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[4,1,3,2,6,5] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[2,1,4,3,6,5] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[1,2,4,3,6,5] [.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[4,3,1,2,6,5] [.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[2,4,1,3,6,5] [.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[4,2,1,3,6,5] [.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[4,1,2,3,6,5] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[3,2,1,4,6,5] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[1,3,2,4,6,5] [.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[3,1,2,4,6,5] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[2,1,3,4,6,5] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[1,2,3,4,6,5] [[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[6,5,4,3,1,2] [[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[2,6,5,4,1,3] [[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[6,2,5,4,1,3] [[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[3,2,6,5,1,4] [[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[1,3,6,5,2,4] [[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[6,5,2,4,1,3] [[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[3,6,2,5,1,4] [[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[6,3,2,5,1,4] [[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[6,1,3,5,2,4] [[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[4,3,2,6,1,5] [[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[1,4,3,6,2,5] [[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[4,1,3,6,2,5] [[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[2,1,4,6,3,5] [[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[1,2,4,6,3,5] [[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[6,5,4,2,1,3] [[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[3,6,5,2,1,4] [[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[6,3,5,2,1,4] [[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[4,3,6,2,1,5] [[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[1,4,6,3,2,5] [[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[6,5,4,1,2,3] [[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[3,6,5,1,2,4] [[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[6,3,5,1,2,4] [[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[4,3,6,1,2,5] [[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[2,4,6,1,3,5] [[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[6,5,3,2,1,4] [[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[4,6,3,2,1,5] [[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[6,5,1,3,2,4] [[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[4,6,1,3,2,5] [[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[6,5,3,1,2,4] [[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[4,6,3,1,2,5] [[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[6,5,2,1,3,4] [[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[4,6,2,1,3,5] [[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[6,5,1,2,3,4] [[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[4,6,1,2,3,5] [[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[6,4,3,2,1,5] [[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[6,1,4,3,2,5] [[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[6,4,1,3,2,5] [[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[6,2,1,4,3,5] [[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[6,1,2,4,3,5] [[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[6,4,3,1,2,5] [[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[6,2,4,1,3,5] [[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[6,4,2,1,3,5] [[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[6,4,1,2,3,5] [[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[6,3,2,1,4,5] [[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[6,1,3,2,4,5] [[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[6,3,1,2,4,5] [[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[6,2,1,3,4,5] [[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[6,1,2,3,4,5] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[1,5,4,3,2,6] [[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[5,1,4,3,2,6] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[2,1,5,4,3,6] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[1,2,5,4,3,6] [[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[5,4,1,3,2,6] [[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[2,5,1,4,3,6] [[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[5,2,1,4,3,6] [[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[5,1,2,4,3,6] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[3,2,1,5,4,6] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[1,3,2,5,4,6] [[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[3,1,2,5,4,6] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[2,1,3,5,4,6] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[1,2,3,5,4,6] [[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[5,4,3,1,2,6] [[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[2,5,4,1,3,6] [[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[5,2,4,1,3,6] [[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[3,2,5,1,4,6] [[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[1,3,5,2,4,6] [[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[5,4,2,1,3,6] [[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[3,5,2,1,4,6] [[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[5,4,1,2,3,6] [[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[3,5,1,2,4,6] [[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[5,3,2,1,4,6] [[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[5,1,3,2,4,6] [[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[5,3,1,2,4,6] [[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[5,2,1,3,4,6] [[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[5,1,2,3,4,6] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[1,4,3,2,5,6] [[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[4,1,3,2,5,6] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[2,1,4,3,5,6] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[1,2,4,3,5,6] [[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[4,3,1,2,5,6] [[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[2,4,1,3,5,6] [[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[4,2,1,3,5,6] [[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[4,1,2,3,5,6] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[1,3,2,4,5,6] [[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[3,1,2,4,5,6] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6] [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6] [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[1,7,6,5,4,3,2] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[7,1,6,5,4,3,2] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[2,1,7,6,5,4,3] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[1,2,7,6,5,4,3] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[7,6,1,5,4,3,2] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[2,7,1,6,5,4,3] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[7,2,1,6,5,4,3] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[7,1,2,6,5,4,3] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[3,2,1,7,6,5,4] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[1,3,2,7,6,5,4] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[3,1,2,7,6,5,4] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[2,1,3,7,6,5,4] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[7,6,5,1,4,3,2] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[2,7,6,1,5,4,3] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[7,2,6,1,5,4,3] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[3,2,7,1,6,5,4] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[1,3,7,2,6,5,4] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[7,6,2,1,5,4,3] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[3,7,2,1,6,5,4] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[7,6,1,2,5,4,3] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[3,7,1,2,6,5,4] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[7,3,2,1,6,5,4] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[7,1,3,2,6,5,4] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[7,3,1,2,6,5,4] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[7,2,1,3,6,5,4] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[7,1,2,3,6,5,4] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[4,3,2,1,7,6,5] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[1,4,3,2,7,6,5] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[4,1,3,2,7,6,5] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[2,1,4,3,7,6,5] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[1,2,4,3,7,6,5] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[4,3,1,2,7,6,5] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[2,4,1,3,7,6,5] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[4,2,1,3,7,6,5] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[4,1,2,3,7,6,5] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[3,2,1,4,7,6,5] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[1,3,2,4,7,6,5] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[3,1,2,4,7,6,5] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[2,1,3,4,7,6,5] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[1,2,3,4,7,6,5] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[7,6,5,4,1,3,2] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[2,7,6,5,1,4,3] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[7,2,6,5,1,4,3] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[3,2,7,6,1,5,4] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[1,3,7,6,2,5,4] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[7,6,2,5,1,4,3] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[3,7,2,6,1,5,4] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[7,3,2,6,1,5,4] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[7,1,3,6,2,5,4] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[4,3,2,7,1,6,5] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[1,4,3,7,2,6,5] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[4,1,3,7,2,6,5] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[2,1,4,7,3,6,5] [.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[1,2,4,7,3,6,5] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[7,6,5,2,1,4,3] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[3,7,6,2,1,5,4] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[7,3,6,2,1,5,4] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[4,3,7,2,1,6,5] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[1,4,7,3,2,6,5] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[7,6,5,1,2,4,3] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[3,7,6,1,2,5,4] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[7,3,6,1,2,5,4] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[4,3,7,1,2,6,5] [.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[2,4,7,1,3,6,5] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[7,6,3,2,1,5,4] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[4,7,3,2,1,6,5] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[7,6,1,3,2,5,4] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[4,7,1,3,2,6,5] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[7,6,3,1,2,5,4] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[4,7,3,1,2,6,5] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[7,6,2,1,3,5,4] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[4,7,2,1,3,6,5] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[7,6,1,2,3,5,4] [.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[4,7,1,2,3,6,5] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[7,4,3,2,1,6,5] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[7,1,4,3,2,6,5] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[7,4,1,3,2,6,5] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[7,2,1,4,3,6,5] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[7,1,2,4,3,6,5] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[7,4,3,1,2,6,5] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[7,2,4,1,3,6,5] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[7,4,2,1,3,6,5] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[7,4,1,2,3,6,5] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[7,3,2,1,4,6,5] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[7,1,3,2,4,6,5] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[7,3,1,2,4,6,5] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[7,2,1,3,4,6,5] [.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[7,1,2,3,4,6,5] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[5,4,3,2,1,7,6] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[1,5,4,3,2,7,6] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[5,1,4,3,2,7,6] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[2,1,5,4,3,7,6] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[1,2,5,4,3,7,6] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[5,4,1,3,2,7,6] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[2,5,1,4,3,7,6] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[5,2,1,4,3,7,6] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[5,1,2,4,3,7,6] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[3,2,1,5,4,7,6] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[1,3,2,5,4,7,6] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[3,1,2,5,4,7,6] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[2,1,3,5,4,7,6] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[1,2,3,5,4,7,6] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[5,4,3,1,2,7,6] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[2,5,4,1,3,7,6] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[5,2,4,1,3,7,6] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[3,2,5,1,4,7,6] [.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[1,3,5,2,4,7,6] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[5,4,2,1,3,7,6] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[3,5,2,1,4,7,6] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[5,4,1,2,3,7,6] [.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[3,5,1,2,4,7,6] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[5,3,2,1,4,7,6] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[5,1,3,2,4,7,6] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[5,3,1,2,4,7,6] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[5,2,1,3,4,7,6] [.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[5,1,2,3,4,7,6] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[4,3,2,1,5,7,6] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[1,4,3,2,5,7,6] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[4,1,3,2,5,7,6] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[2,1,4,3,5,7,6] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[1,2,4,3,5,7,6] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[4,3,1,2,5,7,6] [.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[2,4,1,3,5,7,6] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[4,2,1,3,5,7,6] [.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[4,1,2,3,5,7,6] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[3,2,1,4,5,7,6] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[1,3,2,4,5,7,6] [.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[3,1,2,4,5,7,6] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[2,1,3,4,5,7,6] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[1,2,3,4,5,7,6] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[7,6,5,4,3,1,2] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[2,7,6,5,4,1,3] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[7,2,6,5,4,1,3] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[3,2,7,6,5,1,4] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[1,3,7,6,5,2,4] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[7,6,2,5,4,1,3] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[3,7,2,6,5,1,4] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[7,3,2,6,5,1,4] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[7,1,3,6,5,2,4] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[4,3,2,7,6,1,5] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[1,4,3,7,6,2,5] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[4,1,3,7,6,2,5] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[2,1,4,7,6,3,5] [[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[1,2,4,7,6,3,5] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[7,6,5,2,4,1,3] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[3,7,6,2,5,1,4] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[7,3,6,2,5,1,4] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[4,3,7,2,6,1,5] [[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[1,4,7,3,6,2,5] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[7,6,3,2,5,1,4] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[4,7,3,2,6,1,5] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[7,6,1,3,5,2,4] [[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[4,7,1,3,6,2,5] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[7,4,3,2,6,1,5] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[7,1,4,3,6,2,5] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[7,4,1,3,6,2,5] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[7,2,1,4,6,3,5] [[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[7,1,2,4,6,3,5] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[5,4,3,2,7,1,6] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[1,5,4,3,7,2,6] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[5,1,4,3,7,2,6] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[2,1,5,4,7,3,6] [[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[1,2,5,4,7,3,6] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[5,4,1,3,7,2,6] [[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[2,5,1,4,7,3,6] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[5,2,1,4,7,3,6] [[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[5,1,2,4,7,3,6] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[3,2,1,5,7,4,6] [[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[1,3,2,5,7,4,6] [[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[3,1,2,5,7,4,6] [[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[2,1,3,5,7,4,6] [[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[1,2,3,5,7,4,6] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[7,6,5,4,2,1,3] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[3,7,6,5,2,1,4] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[7,3,6,5,2,1,4] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[4,3,7,6,2,1,5] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[1,4,7,6,3,2,5] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[7,6,3,5,2,1,4] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[4,7,3,6,2,1,5] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[7,4,3,6,2,1,5] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[7,1,4,6,3,2,5] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[5,4,3,7,2,1,6] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[1,5,4,7,3,2,6] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[5,1,4,7,3,2,6] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[2,1,5,7,4,3,6] [[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[1,2,5,7,4,3,6] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[7,6,5,4,1,2,3] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[3,7,6,5,1,2,4] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[7,3,6,5,1,2,4] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[4,3,7,6,1,2,5] [[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[2,4,7,6,1,3,5] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[7,6,3,5,1,2,4] [[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[4,7,3,6,1,2,5] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[7,4,3,6,1,2,5] [[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[7,2,4,6,1,3,5] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[5,4,3,7,1,2,6] [[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[2,5,4,7,1,3,6] [[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[5,2,4,7,1,3,6] [[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[3,2,5,7,1,4,6] [[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[1,3,5,7,2,4,6] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[7,6,5,3,2,1,4] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[4,7,6,3,2,1,5] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[7,4,6,3,2,1,5] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[5,4,7,3,2,1,6] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[1,5,7,4,3,2,6] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[7,6,5,1,3,2,4] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[4,7,6,1,3,2,5] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[7,4,6,1,3,2,5] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[5,4,7,1,3,2,6] [[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[2,5,7,1,4,3,6] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[7,6,5,3,1,2,4] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[4,7,6,3,1,2,5] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[7,4,6,3,1,2,5] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[5,4,7,3,1,2,6] [[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[2,5,7,4,1,3,6] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[7,6,5,2,1,3,4] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[4,7,6,2,1,3,5] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[7,4,6,2,1,3,5] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[5,4,7,2,1,3,6] [[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[3,5,7,2,1,4,6] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[7,6,5,1,2,3,4] [[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[4,7,6,1,2,3,5] [[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[7,4,6,1,2,3,5] [[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[5,4,7,1,2,3,6] [[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[3,5,7,1,2,4,6] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[7,6,4,3,2,1,5] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[5,7,4,3,2,1,6] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[7,6,1,4,3,2,5] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[5,7,1,4,3,2,6] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[7,6,4,1,3,2,5] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[5,7,4,1,3,2,6] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[7,6,2,1,4,3,5] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[5,7,2,1,4,3,6] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[7,6,1,2,4,3,5] [[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[5,7,1,2,4,3,6] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[7,6,4,3,1,2,5] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[5,7,4,3,1,2,6] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[7,6,2,4,1,3,5] [[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[5,7,2,4,1,3,6] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[7,6,4,2,1,3,5] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[5,7,4,2,1,3,6] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[7,6,4,1,2,3,5] [[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[5,7,4,1,2,3,6] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[7,6,3,2,1,4,5] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[5,7,3,2,1,4,6] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[7,6,1,3,2,4,5] [[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[5,7,1,3,2,4,6] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[7,6,3,1,2,4,5] [[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[5,7,3,1,2,4,6] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[7,6,2,1,3,4,5] [[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[5,7,2,1,3,4,6] [[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[7,6,1,2,3,4,5] [[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[5,7,1,2,3,4,6] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[7,5,4,3,2,1,6] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[7,1,5,4,3,2,6] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[7,5,1,4,3,2,6] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[7,2,1,5,4,3,6] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[7,1,2,5,4,3,6] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[7,5,4,1,3,2,6] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[7,2,5,1,4,3,6] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[7,5,2,1,4,3,6] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[7,5,1,2,4,3,6] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[7,3,2,1,5,4,6] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[7,1,3,2,5,4,6] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[7,3,1,2,5,4,6] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[7,2,1,3,5,4,6] [[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[7,1,2,3,5,4,6] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[7,5,4,3,1,2,6] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[7,2,5,4,1,3,6] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[7,5,2,4,1,3,6] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[7,3,2,5,1,4,6] [[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[7,1,3,5,2,4,6] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[7,5,4,2,1,3,6] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[7,3,5,2,1,4,6] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[7,5,4,1,2,3,6] [[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[7,3,5,1,2,4,6] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[7,5,3,2,1,4,6] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[7,5,1,3,2,4,6] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[7,5,3,1,2,4,6] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[7,5,2,1,3,4,6] [[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[7,5,1,2,3,4,6] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[7,4,3,2,1,5,6] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[7,1,4,3,2,5,6] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[7,4,1,3,2,5,6] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[7,2,1,4,3,5,6] [[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[7,1,2,4,3,5,6] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[7,4,3,1,2,5,6] [[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[7,2,4,1,3,5,6] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[7,4,2,1,3,5,6] [[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[7,4,1,2,3,5,6] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[7,3,2,1,4,5,6] [[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[7,1,3,2,4,5,6] [[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[7,3,1,2,4,5,6] [[[[[.,[.,.]],.],.],.],[.,.]]=>[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] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[1,6,5,4,3,2,7] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[6,1,5,4,3,2,7] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[2,1,6,5,4,3,7] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[1,2,6,5,4,3,7] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[6,5,1,4,3,2,7] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[2,6,1,5,4,3,7] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[6,2,1,5,4,3,7] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[6,1,2,5,4,3,7] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[3,2,1,6,5,4,7] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[1,3,2,6,5,4,7] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[3,1,2,6,5,4,7] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[2,1,3,6,5,4,7] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[1,2,3,6,5,4,7] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[6,5,4,1,3,2,7] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[2,6,5,1,4,3,7] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[6,2,5,1,4,3,7] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[3,2,6,1,5,4,7] [[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[1,3,6,2,5,4,7] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[6,5,2,1,4,3,7] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[3,6,2,1,5,4,7] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[6,5,1,2,4,3,7] [[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[3,6,1,2,5,4,7] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[6,3,2,1,5,4,7] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[6,1,3,2,5,4,7] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[6,3,1,2,5,4,7] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[6,2,1,3,5,4,7] [[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[6,1,2,3,5,4,7] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[4,3,2,1,6,5,7] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[1,4,3,2,6,5,7] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[4,1,3,2,6,5,7] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[2,1,4,3,6,5,7] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[1,2,4,3,6,5,7] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[4,3,1,2,6,5,7] [[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[2,4,1,3,6,5,7] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[4,2,1,3,6,5,7] [[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[4,1,2,3,6,5,7] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[3,2,1,4,6,5,7] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[1,3,2,4,6,5,7] [[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[3,1,2,4,6,5,7] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[2,1,3,4,6,5,7] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[1,2,3,4,6,5,7] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[6,5,4,3,1,2,7] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[2,6,5,4,1,3,7] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[6,2,5,4,1,3,7] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[3,2,6,5,1,4,7] [[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[1,3,6,5,2,4,7] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[6,5,2,4,1,3,7] [[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[3,6,2,5,1,4,7] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[6,3,2,5,1,4,7] [[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[6,1,3,5,2,4,7] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[4,3,2,6,1,5,7] [[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[1,4,3,6,2,5,7] [[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[4,1,3,6,2,5,7] [[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[2,1,4,6,3,5,7] [[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[1,2,4,6,3,5,7] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[6,5,4,2,1,3,7] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[3,6,5,2,1,4,7] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[6,3,5,2,1,4,7] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[4,3,6,2,1,5,7] [[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[1,4,6,3,2,5,7] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[6,5,4,1,2,3,7] [[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[3,6,5,1,2,4,7] [[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[6,3,5,1,2,4,7] [[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[4,3,6,1,2,5,7] [[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[2,4,6,1,3,5,7] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[6,5,3,2,1,4,7] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[4,6,3,2,1,5,7] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[6,5,1,3,2,4,7] [[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[4,6,1,3,2,5,7] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[6,5,3,1,2,4,7] [[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[4,6,3,1,2,5,7] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[6,5,2,1,3,4,7] [[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[4,6,2,1,3,5,7] [[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[6,5,1,2,3,4,7] [[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[4,6,1,2,3,5,7] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[6,4,3,2,1,5,7] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[6,1,4,3,2,5,7] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[6,4,1,3,2,5,7] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[6,2,1,4,3,5,7] [[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[6,1,2,4,3,5,7] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[6,4,3,1,2,5,7] [[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[6,2,4,1,3,5,7] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[6,4,2,1,3,5,7] [[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[6,4,1,2,3,5,7] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[6,3,2,1,4,5,7] [[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[6,1,3,2,4,5,7] [[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[6,3,1,2,4,5,7] [[[[[.,[.,.]],.],.],[.,.]],.]=>[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] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[1,5,4,3,2,6,7] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[5,1,4,3,2,6,7] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[2,1,5,4,3,6,7] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[1,2,5,4,3,6,7] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[5,4,1,3,2,6,7] [[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[2,5,1,4,3,6,7] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[5,2,1,4,3,6,7] [[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[5,1,2,4,3,6,7] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[3,2,1,5,4,6,7] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[1,3,2,5,4,6,7] [[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[3,1,2,5,4,6,7] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[2,1,3,5,4,6,7] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[1,2,3,5,4,6,7] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[5,4,3,1,2,6,7] [[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[2,5,4,1,3,6,7] [[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[5,2,4,1,3,6,7] [[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[3,2,5,1,4,6,7] [[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[1,3,5,2,4,6,7] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[5,4,2,1,3,6,7] [[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[3,5,2,1,4,6,7] [[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[5,4,1,2,3,6,7] [[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[3,5,1,2,4,6,7] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[5,3,2,1,4,6,7] [[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[5,1,3,2,4,6,7] [[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[5,3,1,2,4,6,7] [[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[5,2,1,3,4,6,7] [[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[5,1,2,3,4,6,7] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[1,4,3,2,5,6,7] [[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[4,1,3,2,5,6,7] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[2,1,4,3,5,6,7] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[1,2,4,3,5,6,7] [[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[4,3,1,2,5,6,7] [[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[2,4,1,3,5,6,7] [[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[4,2,1,3,5,6,7] [[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[4,1,2,3,5,6,7] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[1,3,2,4,5,6,7] [[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[3,1,2,4,5,6,7] [[[[[[.,[.,.]],.],.],.],.],.]=>[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] [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[1,2,3,8,7,6,5,4] [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[8,7,2,6,1,5,4,3] [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[1,2,4,8,3,7,6,5] [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,2,3,1]=>[8,2,7,6,5,1,4,3] [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[1,2,4,8,7,3,6,5] [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[8,4,3,7,2,1,6,5] [.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[1,2,5,8,4,3,7,6] [.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[8,2,4,7,1,3,6,5] [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[1,3,5,8,2,4,7,6] [.,[[[[.,[.,.]],.],.],[[.,.],.]]]=>[7,8,3,2,4,5,6,1]=>[5,8,2,1,3,4,7,6] [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[2,1,4,3,6,5,8,7] [.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[1,2,3,4,5,6,8,7] [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,3,1,2]=>[2,8,7,6,5,4,1,3] [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[1,2,4,8,7,6,3,5] [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[4,8,3,7,2,6,1,5] [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[2,1,5,8,4,7,3,6] [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[1,2,5,8,4,7,3,6] [[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[5,8,2,1,4,7,3,6] [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>[5,8,1,2,4,7,3,6] [[.,.],[[[[.,[.,.]],.],.],[.,.]]]=>[8,4,3,5,6,7,1,2]=>[8,2,1,3,5,7,4,6] [[.,.],[[[[[.,.],.],[.,.]],.],.]]=>[6,3,4,5,7,8,1,2]=>[4,1,2,3,6,8,5,7] [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[3,2,1,4,6,8,5,7] [[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[4,3,5,6,7,8,1,2]=>[2,1,3,4,6,8,5,7] [[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[1,2,3,4,6,8,5,7] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[8,7,6,5,4,2,1,3] [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[4,3,8,7,6,2,1,5] [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[1,2,5,8,7,4,3,6] [[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[2,4,8,7,6,1,3,5] [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[1,3,5,8,7,2,4,6] [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[6,5,4,8,3,2,1,7] [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[1,2,6,8,5,4,3,7] [[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[6,2,5,8,1,4,3,7] [[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[1,3,6,8,2,5,4,7] [[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[2,6,5,8,4,1,3,7] [[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[1,3,6,8,5,2,4,7] [[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,1,3,4]=>[4,8,7,6,2,1,3,5] [[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,1,3,4]=>[3,5,8,7,2,1,4,6] [[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[5,8,4,7,2,1,3,6] [[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[4,3,6,8,2,1,5,7] [[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[1,4,6,8,3,2,5,7] [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[8,7,6,5,1,2,3,4] [[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[4,8,7,6,1,2,3,5] [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[8,4,7,6,1,2,3,5] [[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[5,4,8,7,1,2,3,6] [[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[3,5,8,7,1,2,4,6] [[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[8,7,4,6,1,2,3,5] [[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[5,8,4,7,1,2,3,6] [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[8,5,4,7,1,2,3,6] [[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[8,3,5,7,1,2,4,6] [[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[6,5,4,8,1,2,3,7] [[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[3,6,5,8,1,2,4,7] [[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[6,3,5,8,1,2,4,7] [[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[4,3,6,8,1,2,5,7] [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[2,4,6,8,1,3,5,7] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>[8,7,6,4,3,2,1,5] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[8,7,6,4,2,1,3,5] [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[8,7,6,1,2,3,4,5] [[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[5,8,7,1,2,3,4,6] [[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>[8,5,7,1,2,3,4,6] [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[6,5,8,1,2,3,4,7] [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[4,6,8,1,2,3,5,7] [[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>[6,8,5,4,2,1,3,7] [[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,1,2,3,6]=>[6,8,5,4,1,2,3,7] [[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[8,7,5,2,1,3,4,6] [[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[6,8,5,2,1,3,4,7] [[[[[.,.],.],.],[.,.]],[.,[.,.]]]=>[8,7,5,1,2,3,4,6]=>[8,7,5,1,2,3,4,6] [[[[[.,.],.],.],[.,.]],[[.,.],.]]=>[7,8,5,1,2,3,4,6]=>[6,8,5,1,2,3,4,7] [[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[6,8,3,2,1,4,5,7] [[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[6,8,1,2,3,4,5,7] [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[8,6,5,4,3,2,1,7]=>[8,6,5,4,3,2,1,7] [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[8,4,5,6,3,2,1,7]=>[8,1,2,6,5,4,3,7] [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,3,1,2,7]=>[8,6,5,4,3,1,2,7] [[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>[8,3,6,2,5,1,4,7] [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,2,1,3,7]=>[8,6,5,4,2,1,3,7] [[[.,[[.,.],.]],[.,[.,.]]],[.,.]]=>[8,6,5,2,3,1,4,7]=>[8,6,5,1,3,2,4,7] [[[.,[[.,.],.]],[[.,.],.]],[.,.]]=>[8,5,6,2,3,1,4,7]=>[8,4,6,1,3,2,5,7] [[[[[.,.],.],.],[.,[.,.]]],[.,.]]=>[8,6,5,1,2,3,4,7]=>[8,6,5,1,2,3,4,7] [[[[[.,.],.],.],[[.,.],.]],[.,.]]=>[8,5,6,1,2,3,4,7]=>[8,4,6,1,2,3,5,7] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>[8,6,4,3,2,1,5,7] [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[8,6,3,4,2,1,5,7]=>[8,6,1,4,3,2,5,7] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[8,6,4,2,1,3,5,7] [[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>[8,1,2,3,4,5,6,7] [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8] [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[7,5,6,3,4,2,1,8]=>[7,2,6,1,5,4,3,8] [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>[6,7,5,4,2,3,1,8]=>[2,7,6,5,1,4,3,8] [[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[6,5,7,3,2,4,1,8]=>[4,3,7,2,1,6,5,8] [[.,[[[.,.],.],[.,[.,[.,.]]]]],.]=>[7,6,5,2,3,4,1,8]=>[7,6,5,1,2,4,3,8] [[.,[[[.,.],.],[.,[[.,.],.]]]],.]=>[6,7,5,2,3,4,1,8]=>[3,7,6,1,2,5,4,8] [[.,[[[.,.],.],[[.,.],[.,.]]]],.]=>[7,5,6,2,3,4,1,8]=>[7,3,6,1,2,5,4,8] [[.,[[[.,.],.],[[.,[.,.]],.]]],.]=>[6,5,7,2,3,4,1,8]=>[4,3,7,1,2,6,5,8] [[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[5,6,7,2,3,4,1,8]=>[2,4,7,1,3,6,5,8] [[[[[.,.],.],.],[.,[.,[.,.]]]],.]=>[7,6,5,1,2,3,4,8]=>[7,6,5,1,2,3,4,8] [[[[[.,.],.],.],[.,[[.,.],.]]],.]=>[6,7,5,1,2,3,4,8]=>[4,7,6,1,2,3,5,8] [[[[[.,.],.],.],[[.,.],[.,.]]],.]=>[7,5,6,1,2,3,4,8]=>[7,4,6,1,2,3,5,8] [[[[[.,.],.],.],[[.,[.,.]],.]],.]=>[6,5,7,1,2,3,4,8]=>[5,4,7,1,2,3,6,8] [[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>[3,5,7,1,2,4,6,8] [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]
Map
to 132-avoiding permutation
Description
Return a 132-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the maximal element of the Sylvester class.
Map
Inverse 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..