Identifier
Mp00017: Binary trees —to 312-avoiding permutation⟶ Permutations
Mp00254: Permutations —Inverse fireworks map⟶ Permutations
Mp00086: Permutations —first fundamental transformation⟶ Permutations
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]=>[3,1,2] [.,[[.,.],.]]=>[2,3,1]=>[1,3,2]=>[1,3,2] [[.,.],[.,.]]=>[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]=>[4,1,2,3] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[1,4,3,2]=>[1,4,2,3] [.,[[.,.],[.,.]]]=>[2,4,3,1]=>[1,4,3,2]=>[1,4,2,3] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[2,1,4,3]=>[2,1,4,3] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[1,2,4,3]=>[1,2,4,3] [[.,.],[.,[.,.]]]=>[1,4,3,2]=>[1,4,3,2]=>[1,4,2,3] [[.,.],[[.,.],.]]=>[1,3,4,2]=>[1,2,4,3]=>[1,2,4,3] [[.,[.,.]],[.,.]]=>[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]=>[3,1,2,4] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[1,3,2,4]=>[1,3,2,4] [[[.,.],[.,.]],.]=>[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]=>[5,1,2,3,4] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[1,5,4,3,2]=>[1,5,2,3,4] [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[1,5,4,3,2]=>[1,5,2,3,4] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[2,1,5,4,3]=>[2,1,5,3,4] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[1,2,5,4,3]=>[1,2,5,3,4] [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[1,5,4,3,2]=>[1,5,2,3,4] [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[1,2,5,4,3]=>[1,2,5,3,4] [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[2,1,5,4,3]=>[2,1,5,3,4] [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[1,2,5,4,3]=>[1,2,5,3,4] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[3,2,1,5,4]=>[3,1,2,5,4] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[1,3,2,5,4]=>[1,3,2,5,4] [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[1,3,2,5,4]=>[1,3,2,5,4] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[2,1,3,5,4]=>[2,1,3,5,4] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[1,2,3,5,4]=>[1,2,3,5,4] [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[1,5,4,3,2]=>[1,5,2,3,4] [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[1,2,5,4,3]=>[1,2,5,3,4] [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[1,2,5,4,3]=>[1,2,5,3,4] [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[1,3,2,5,4]=>[1,3,2,5,4] [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[1,2,3,5,4]=>[1,2,3,5,4] [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[2,1,5,4,3]=>[2,1,5,3,4] [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[2,1,3,5,4]=>[2,1,3,5,4] [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[1,2,5,4,3]=>[1,2,5,3,4] [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[1,2,3,5,4]=>[1,2,3,5,4] [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[3,2,1,5,4]=>[3,1,2,5,4] [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[1,3,2,5,4]=>[1,3,2,5,4] [[[.,.],[.,.]],[.,.]]=>[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]=>[4,1,2,3,5] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[1,4,3,2,5]=>[1,4,2,3,5] [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[1,4,3,2,5]=>[1,4,2,3,5] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[2,1,4,3,5]=>[2,1,4,3,5] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[1,2,4,3,5]=>[1,2,4,3,5] [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[1,4,3,2,5]=>[1,4,2,3,5] [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[1,2,4,3,5]=>[1,2,4,3,5] [[[.,[.,.]],[.,.]],.]=>[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]=>[3,1,2,4,5] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[1,3,2,4,5]=>[1,3,2,4,5] [[[[.,.],[.,.]],.],.]=>[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]=>[6,1,2,3,4,5] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[1,6,5,4,3,2]=>[1,6,2,3,4,5] [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[1,6,5,4,3,2]=>[1,6,2,3,4,5] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[2,1,6,5,4,3]=>[2,1,6,3,4,5] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[1,2,6,5,4,3]=>[1,2,6,3,4,5] [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[1,6,5,4,3,2]=>[1,6,2,3,4,5] [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[1,2,6,5,4,3]=>[1,2,6,3,4,5] [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[2,1,6,5,4,3]=>[2,1,6,3,4,5] [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[1,2,6,5,4,3]=>[1,2,6,3,4,5] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[3,2,1,6,5,4]=>[3,1,2,6,4,5] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[1,3,2,6,5,4]=>[1,3,2,6,4,5] [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[1,3,2,6,5,4]=>[1,3,2,6,4,5] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[2,1,3,6,5,4]=>[2,1,3,6,4,5] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[1,2,3,6,5,4]=>[1,2,3,6,4,5] [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[1,6,5,4,3,2]=>[1,6,2,3,4,5] [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[1,2,6,5,4,3]=>[1,2,6,3,4,5] [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[1,2,6,5,4,3]=>[1,2,6,3,4,5] [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[1,3,2,6,5,4]=>[1,3,2,6,4,5] [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[1,2,3,6,5,4]=>[1,2,3,6,4,5] [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[2,1,6,5,4,3]=>[2,1,6,3,4,5] [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[2,1,3,6,5,4]=>[2,1,3,6,4,5] [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[1,2,6,5,4,3]=>[1,2,6,3,4,5] [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[1,2,3,6,5,4]=>[1,2,3,6,4,5] [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[3,2,1,6,5,4]=>[3,1,2,6,4,5] [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[1,3,2,6,5,4]=>[1,3,2,6,4,5] [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[1,3,2,6,5,4]=>[1,3,2,6,4,5] [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[2,1,3,6,5,4]=>[2,1,3,6,4,5] [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[1,2,3,6,5,4]=>[1,2,3,6,4,5] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[4,3,2,1,6,5]=>[4,1,2,3,6,5] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[1,4,3,2,6,5]=>[1,4,2,3,6,5] [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[1,4,3,2,6,5]=>[1,4,2,3,6,5] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[1,4,3,2,6,5]=>[1,4,2,3,6,5] [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[3,2,1,4,6,5]=>[3,1,2,4,6,5] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[1,6,5,4,3,2]=>[1,6,2,3,4,5] [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[1,2,6,5,4,3]=>[1,2,6,3,4,5] [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[1,2,6,5,4,3]=>[1,2,6,3,4,5] [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[1,3,2,6,5,4]=>[1,3,2,6,4,5] [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[1,2,3,6,5,4]=>[1,2,3,6,4,5] [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[1,2,6,5,4,3]=>[1,2,6,3,4,5] [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[1,2,3,6,5,4]=>[1,2,3,6,4,5] [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[1,3,2,6,5,4]=>[1,3,2,6,4,5] [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[1,2,3,6,5,4]=>[1,2,3,6,4,5] [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[1,4,3,2,6,5]=>[1,4,2,3,6,5] [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[2,1,6,5,4,3]=>[2,1,6,3,4,5] [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[2,1,3,6,5,4]=>[2,1,3,6,4,5] [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[2,1,3,6,5,4]=>[2,1,3,6,4,5] [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[1,2,6,5,4,3]=>[1,2,6,3,4,5] [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[1,2,3,6,5,4]=>[1,2,3,6,4,5] [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[1,2,3,6,5,4]=>[1,2,3,6,4,5] [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[3,2,1,6,5,4]=>[3,1,2,6,4,5] [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[3,2,1,4,6,5]=>[3,1,2,4,6,5] [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[1,3,2,6,5,4]=>[1,3,2,6,4,5] [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[1,3,2,6,5,4]=>[1,3,2,6,4,5] [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[2,1,3,6,5,4]=>[2,1,3,6,4,5] [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[2,1,3,4,6,5]=>[2,1,3,4,6,5] [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[1,2,3,6,5,4]=>[1,2,3,6,4,5] [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[1,2,3,4,6,5]=>[1,2,3,4,6,5] [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[4,3,2,1,6,5]=>[4,1,2,3,6,5] [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[1,4,3,2,6,5]=>[1,4,2,3,6,5] [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[1,4,3,2,6,5]=>[1,4,2,3,6,5] [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[2,1,4,3,6,5]=>[2,1,4,3,6,5] [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[1,4,3,2,6,5]=>[1,4,2,3,6,5] [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[1,2,4,3,6,5]=>[1,2,4,3,6,5] [[[.,[.,.]],[.,.]],[.,.]]=>[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]=>[3,1,2,4,6,5] [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[1,3,2,4,6,5]=>[1,3,2,4,6,5] [[[[.,.],[.,.]],.],[.,.]]=>[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]=>[5,1,2,3,4,6] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[1,5,4,3,2,6]=>[1,5,2,3,4,6] [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[1,5,4,3,2,6]=>[1,5,2,3,4,6] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[2,1,5,4,3,6]=>[2,1,5,3,4,6] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[1,2,5,4,3,6]=>[1,2,5,3,4,6] [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[1,5,4,3,2,6]=>[1,5,2,3,4,6] [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[1,2,5,4,3,6]=>[1,2,5,3,4,6] [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[2,1,5,4,3,6]=>[2,1,5,3,4,6] [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[1,2,5,4,3,6]=>[1,2,5,3,4,6] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[3,2,1,5,4,6]=>[3,1,2,5,4,6] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[1,5,4,3,2,6]=>[1,5,2,3,4,6] [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[1,2,5,4,3,6]=>[1,2,5,3,4,6] [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[1,2,5,4,3,6]=>[1,2,5,3,4,6] [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[2,1,5,4,3,6]=>[2,1,5,3,4,6] [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[2,1,3,5,4,6]=>[2,1,3,5,4,6] [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[1,2,5,4,3,6]=>[1,2,5,3,4,6] [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4,6] [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[3,2,1,5,4,6]=>[3,1,2,5,4,6] [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[1,3,2,5,4,6]=>[1,3,2,5,4,6] [[[[.,.],[.,.]],[.,.]],.]=>[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]=>[4,1,2,3,5,6] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[1,4,3,2,5,6]=>[1,4,2,3,5,6] [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[1,4,3,2,5,6]=>[1,4,2,3,5,6] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[2,1,4,3,5,6]=>[2,1,4,3,5,6] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[1,4,3,2,5,6]=>[1,4,2,3,5,6] [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5,6] [[[[.,[.,.]],[.,.]],.],.]=>[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]=>[3,1,2,4,5,6] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5,6] [[[[[.,.],[.,.]],.],.],.]=>[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]=>[7,1,2,3,4,5,6] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[5,7,6,4,3,2,1]=>[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[2,1,7,6,5,4,3]=>[2,1,7,3,4,5,6] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[4,7,6,5,3,2,1]=>[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[4,6,7,5,3,2,1]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[5,4,7,6,3,2,1]=>[2,1,7,6,5,4,3]=>[2,1,7,3,4,5,6] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[4,5,7,6,3,2,1]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[3,2,1,7,6,5,4]=>[3,1,2,7,4,5,6] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[4,6,5,7,3,2,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[2,1,3,7,6,5,4]=>[2,1,3,7,4,5,6] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[3,7,6,5,4,2,1]=>[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[3,6,7,5,4,2,1]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[3,5,7,6,4,2,1]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[3,6,5,7,4,2,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[3,5,6,7,4,2,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[4,3,7,6,5,2,1]=>[2,1,7,6,5,4,3]=>[2,1,7,3,4,5,6] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[4,3,6,7,5,2,1]=>[2,1,3,7,6,5,4]=>[2,1,3,7,4,5,6] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[3,4,7,6,5,2,1]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[3,4,6,7,5,2,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[5,4,3,7,6,2,1]=>[3,2,1,7,6,5,4]=>[3,1,2,7,4,5,6] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[4,5,3,7,6,2,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[3,5,4,7,6,2,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[4,3,5,7,6,2,1]=>[2,1,3,7,6,5,4]=>[2,1,3,7,4,5,6] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[3,4,5,7,6,2,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[4,3,2,1,7,6,5]=>[4,1,2,3,7,5,6] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[1,4,3,2,7,6,5]=>[1,4,2,3,7,5,6] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[4,6,5,3,7,2,1]=>[1,4,3,2,7,6,5]=>[1,4,2,3,7,5,6] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,5,6] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[3,6,5,4,7,2,1]=>[1,4,3,2,7,6,5]=>[1,4,2,3,7,5,6] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[3,5,6,4,7,2,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[4,3,6,5,7,2,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,5,6] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[3,4,6,5,7,2,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[3,2,1,4,7,6,5]=>[3,1,2,4,7,5,6] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[3,5,4,6,7,2,1]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,5,6] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[1,4,3,2,7,6,5]=>[1,4,2,3,7,5,6] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[2,1,7,6,5,4,3]=>[2,1,7,3,4,5,6] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[2,1,3,7,6,5,4]=>[2,1,3,7,4,5,6] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[2,1,3,7,6,5,4]=>[2,1,3,7,4,5,6] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,5,6] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,5,6] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[3,2,1,7,6,5,4]=>[3,1,2,7,4,5,6] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[3,2,1,4,7,6,5]=>[3,1,2,4,7,5,6] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[2,1,3,7,6,5,4]=>[2,1,3,7,4,5,6] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,5,6] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[5,4,3,2,7,6,1]=>[4,3,2,1,7,6,5]=>[4,1,2,3,7,5,6] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[4,5,3,2,7,6,1]=>[1,4,3,2,7,6,5]=>[1,4,2,3,7,5,6] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[3,5,4,2,7,6,1]=>[1,4,3,2,7,6,5]=>[1,4,2,3,7,5,6] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[4,3,5,2,7,6,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,5,6] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[3,4,5,2,7,6,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[1,4,3,2,7,6,5]=>[1,4,2,3,7,5,6] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,5,6] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[3,2,1,4,7,6,5]=>[3,1,2,4,7,5,6] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,5,6] [.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[5,4,3,2,1,7,6]=>[5,1,2,3,4,7,6] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[1,5,4,3,2,7,6]=>[1,5,2,3,4,7,6] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[4,6,5,3,2,7,1]=>[1,5,4,3,2,7,6]=>[1,5,2,3,4,7,6] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[2,1,5,4,3,7,6]=>[2,1,5,3,4,7,6] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[3,6,5,4,2,7,1]=>[1,5,4,3,2,7,6]=>[1,5,2,3,4,7,6] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[3,5,6,4,2,7,1]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[4,3,6,5,2,7,1]=>[2,1,5,4,3,7,6]=>[2,1,5,3,4,7,6] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[3,4,6,5,2,7,1]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[3,2,1,5,4,7,6]=>[3,1,2,5,4,7,6] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[3,5,4,6,2,7,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[1,5,4,3,2,7,6]=>[1,5,2,3,4,7,6] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[2,1,5,4,3,7,6]=>[2,1,5,3,4,7,6] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[3,2,1,5,4,7,6]=>[3,1,2,5,4,7,6] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[4,3,2,1,5,7,6]=>[4,1,2,3,5,7,6] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[1,4,3,2,5,7,6]=>[1,4,2,3,5,7,6] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[3,5,4,2,6,7,1]=>[1,4,3,2,5,7,6]=>[1,4,2,3,5,7,6] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[1,4,3,2,5,7,6]=>[1,4,2,3,5,7,6] [.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[3,2,1,4,5,7,6]=>[3,1,2,4,5,7,6] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[1,7,6,5,4,3,2]=>[1,7,6,5,4,3,2]=>[1,7,2,3,4,5,6] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[1,6,7,5,4,3,2]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[1,5,7,6,4,3,2]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[1,6,5,7,4,3,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[1,5,6,7,4,3,2]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[1,4,7,6,5,3,2]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[1,4,6,7,5,3,2]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[1,5,4,7,6,3,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[1,6,5,4,7,3,2]=>[1,4,3,2,7,6,5]=>[1,4,2,3,7,5,6] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[1,5,6,4,7,3,2]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[1,4,6,5,7,3,2]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[1,5,4,6,7,3,2]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[1,5,4,3,7,6,2]=>[1,4,3,2,7,6,5]=>[1,4,2,3,7,5,6] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[1,6,5,4,3,7,2]=>[1,5,4,3,2,7,6]=>[1,5,2,3,4,7,6] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[1,5,6,4,3,7,2]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[1,5,4,6,3,7,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[1,5,4,3,6,7,2]=>[1,4,3,2,5,7,6]=>[1,4,2,3,5,7,6] [[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[2,1,7,6,5,4,3]=>[2,1,7,6,5,4,3]=>[2,1,7,3,4,5,6] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[2,1,6,7,5,4,3]=>[2,1,3,7,6,5,4]=>[2,1,3,7,4,5,6] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[2,1,5,7,6,4,3]=>[2,1,3,7,6,5,4]=>[2,1,3,7,4,5,6] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[2,1,6,5,7,4,3]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,5,6] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[2,1,5,6,7,4,3]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,5,6] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[2,1,4,7,6,5,3]=>[2,1,3,7,6,5,4]=>[2,1,3,7,4,5,6] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[2,1,4,6,7,5,3]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,5,6] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[2,1,5,4,7,6,3]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,5,6] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[2,1,4,5,7,6,3]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,5,6] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[2,1,6,5,4,7,3]=>[2,1,5,4,3,7,6]=>[2,1,5,3,4,7,6] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[2,1,5,6,4,7,3]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[2,1,4,6,5,7,3]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[2,1,5,4,6,7,3]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [[.,[.,.]],[[[[.,.],.],.],.]]=>[2,1,4,5,6,7,3]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>[1,2,7,6,5,4,3]=>[1,2,7,3,4,5,6] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[3,2,1,7,6,5,4]=>[3,2,1,7,6,5,4]=>[3,1,2,7,4,5,6] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[3,2,1,6,7,5,4]=>[3,2,1,4,7,6,5]=>[3,1,2,4,7,5,6] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[3,2,1,5,7,6,4]=>[3,2,1,4,7,6,5]=>[3,1,2,4,7,5,6] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[3,2,1,6,5,7,4]=>[3,2,1,5,4,7,6]=>[3,1,2,5,4,7,6] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[3,2,1,5,6,7,4]=>[3,2,1,4,5,7,6]=>[3,1,2,4,5,7,6] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[2,3,1,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[2,3,1,6,7,5,4]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[2,3,1,5,7,6,4]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[2,3,1,6,5,7,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[.,[[.,.],.]],[[[.,.],.],.]]=>[2,3,1,5,6,7,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>[1,3,2,7,6,5,4]=>[1,3,2,7,4,5,6] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[2,1,3,7,6,5,4]=>[2,1,3,7,6,5,4]=>[2,1,3,7,4,5,6] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[2,1,3,6,7,5,4]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,5,6] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[2,1,3,5,7,6,4]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,5,6] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[2,1,3,6,5,7,4]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [[[.,[.,.]],.],[[[.,.],.],.]]=>[2,1,3,5,6,7,4]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>[1,2,3,7,6,5,4]=>[1,2,3,7,4,5,6] [[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[4,3,2,1,7,6,5]=>[4,3,2,1,7,6,5]=>[4,1,2,3,7,5,6] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[4,3,2,1,6,7,5]=>[4,3,2,1,5,7,6]=>[4,1,2,3,5,7,6] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[3,4,2,1,7,6,5]=>[1,4,3,2,7,6,5]=>[1,4,2,3,7,5,6] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[3,4,2,1,6,7,5]=>[1,4,3,2,5,7,6]=>[1,4,2,3,5,7,6] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[2,4,3,1,7,6,5]=>[1,4,3,2,7,6,5]=>[1,4,2,3,7,5,6] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[2,4,3,1,6,7,5]=>[1,4,3,2,5,7,6]=>[1,4,2,3,5,7,6] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[3,2,4,1,7,6,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,5,6] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[3,2,4,1,6,7,5]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[2,3,4,1,7,6,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [[.,[[[.,.],.],.]],[[.,.],.]]=>[2,3,4,1,6,7,5]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>[1,4,3,2,7,6,5]=>[1,4,2,3,7,5,6] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>[1,4,3,2,5,7,6]=>[1,4,2,3,5,7,6] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,6,5]=>[2,1,4,3,7,5,6] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[2,1,4,3,6,7,5]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,6,5]=>[1,2,4,3,7,5,6] [[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[3,2,1,4,7,6,5]=>[3,2,1,4,7,6,5]=>[3,1,2,4,7,5,6] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[3,2,1,4,6,7,5]=>[3,2,1,4,5,7,6]=>[3,1,2,4,5,7,6] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[2,3,1,4,7,6,5]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [[[.,[[.,.],.]],.],[[.,.],.]]=>[2,3,1,4,6,7,5]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,6,5]=>[1,3,2,4,7,5,6] [[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,6,5]=>[2,1,3,4,7,5,6] [[[[.,[.,.]],.],.],[[.,.],.]]=>[2,1,3,4,6,7,5]=>[2,1,3,4,5,7,6]=>[2,1,3,4,5,7,6] [[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,7,5,6] [[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,7,6] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[5,4,3,2,1,7,6]=>[5,4,3,2,1,7,6]=>[5,1,2,3,4,7,6] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[4,5,3,2,1,7,6]=>[1,5,4,3,2,7,6]=>[1,5,2,3,4,7,6] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[3,5,4,2,1,7,6]=>[1,5,4,3,2,7,6]=>[1,5,2,3,4,7,6] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[4,3,5,2,1,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,3,4,7,6] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[3,4,5,2,1,7,6]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[2,5,4,3,1,7,6]=>[1,5,4,3,2,7,6]=>[1,5,2,3,4,7,6] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[2,4,5,3,1,7,6]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[3,2,5,4,1,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,3,4,7,6] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[2,3,5,4,1,7,6]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[4,3,2,5,1,7,6]=>[3,2,1,5,4,7,6]=>[3,1,2,5,4,7,6] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[3,4,2,5,1,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[2,4,3,5,1,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[3,2,4,5,1,7,6]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [[.,[[[[.,.],.],.],.]],[.,.]]=>[2,3,4,5,1,7,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[1,5,4,3,2,7,6]=>[1,5,4,3,2,7,6]=>[1,5,2,3,4,7,6] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[2,1,5,4,3,7,6]=>[2,1,5,4,3,7,6]=>[2,1,5,3,4,7,6] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[2,1,4,5,3,7,6]=>[2,1,3,5,4,7,6]=>[2,1,3,5,4,7,6] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>[1,2,5,4,3,7,6]=>[1,2,5,3,4,7,6] [[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>[1,2,3,5,4,7,6]=>[1,2,3,5,4,7,6] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[3,2,1,5,4,7,6]=>[3,2,1,5,4,7,6]=>[3,1,2,5,4,7,6] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[2,3,1,5,4,7,6]=>[1,3,2,5,4,7,6]=>[1,3,2,5,4,7,6] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>[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]=>[4,1,2,3,5,7,6] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[3,4,2,1,5,7,6]=>[1,4,3,2,5,7,6]=>[1,4,2,3,5,7,6] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[2,4,3,1,5,7,6]=>[1,4,3,2,5,7,6]=>[1,4,2,3,5,7,6] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[3,2,4,1,5,7,6]=>[2,1,4,3,5,7,6]=>[2,1,4,3,5,7,6] [[[.,[[[.,.],.],.]],.],[.,.]]=>[2,3,4,1,5,7,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>[1,4,3,2,5,7,6]=>[1,4,2,3,5,7,6] [[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>[1,2,4,3,5,7,6]=>[1,2,4,3,5,7,6] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[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]=>[3,1,2,4,5,7,6] [[[[.,[[.,.],.]],.],.],[.,.]]=>[2,3,1,4,5,7,6]=>[1,3,2,4,5,7,6]=>[1,3,2,4,5,7,6] [[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>[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]=>[6,1,2,3,4,5,7] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[1,6,5,4,3,2,7]=>[1,6,2,3,4,5,7] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[4,6,5,3,2,1,7]=>[1,6,5,4,3,2,7]=>[1,6,2,3,4,5,7] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[2,1,6,5,4,3,7]=>[2,1,6,3,4,5,7] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[1,2,6,5,4,3,7]=>[1,2,6,3,4,5,7] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[3,6,5,4,2,1,7]=>[1,6,5,4,3,2,7]=>[1,6,2,3,4,5,7] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[3,5,6,4,2,1,7]=>[1,2,6,5,4,3,7]=>[1,2,6,3,4,5,7] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[4,3,6,5,2,1,7]=>[2,1,6,5,4,3,7]=>[2,1,6,3,4,5,7] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[3,4,6,5,2,1,7]=>[1,2,6,5,4,3,7]=>[1,2,6,3,4,5,7] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[3,2,1,6,5,4,7]=>[3,1,2,6,4,5,7] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,4,5,7] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[3,5,4,6,2,1,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,4,5,7] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[2,1,3,6,5,4,7]=>[2,1,3,6,4,5,7] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,4,5,7] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[2,6,5,4,3,1,7]=>[1,6,5,4,3,2,7]=>[1,6,2,3,4,5,7] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[2,5,6,4,3,1,7]=>[1,2,6,5,4,3,7]=>[1,2,6,3,4,5,7] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[2,4,6,5,3,1,7]=>[1,2,6,5,4,3,7]=>[1,2,6,3,4,5,7] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[2,5,4,6,3,1,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,4,5,7] [[.,[[.,.],[[[.,.],.],.]]],.]=>[2,4,5,6,3,1,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,4,5,7] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[3,2,6,5,4,1,7]=>[2,1,6,5,4,3,7]=>[2,1,6,3,4,5,7] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[3,2,5,6,4,1,7]=>[2,1,3,6,5,4,7]=>[2,1,3,6,4,5,7] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[2,3,6,5,4,1,7]=>[1,2,6,5,4,3,7]=>[1,2,6,3,4,5,7] [[.,[[[.,.],.],[[.,.],.]]],.]=>[2,3,5,6,4,1,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,4,5,7] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[4,3,2,6,5,1,7]=>[3,2,1,6,5,4,7]=>[3,1,2,6,4,5,7] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[3,4,2,6,5,1,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,4,5,7] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[2,4,3,6,5,1,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,4,5,7] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[3,2,4,6,5,1,7]=>[2,1,3,6,5,4,7]=>[2,1,3,6,4,5,7] [[.,[[[[.,.],.],.],[.,.]]],.]=>[2,3,4,6,5,1,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,4,5,7] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[4,3,2,1,6,5,7]=>[4,1,2,3,6,5,7] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[1,4,3,2,6,5,7]=>[1,4,2,3,6,5,7] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[3,5,4,2,6,1,7]=>[1,4,3,2,6,5,7]=>[1,4,2,3,6,5,7] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[2,5,4,3,6,1,7]=>[1,4,3,2,6,5,7]=>[1,4,2,3,6,5,7] [[.,[[[.,.],[[.,.],.]],.]],.]=>[2,4,5,3,6,1,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[3,2,5,4,6,1,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7] [[.,[[[[.,.],.],[.,.]],.]],.]=>[2,3,5,4,6,1,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[3,2,1,4,6,5,7]=>[3,1,2,4,6,5,7] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] [[.,[[[[.,.],[.,.]],.],.]],.]=>[2,4,3,5,6,1,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2,7]=>[1,6,2,3,4,5,7] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[1,5,6,4,3,2,7]=>[1,2,6,5,4,3,7]=>[1,2,6,3,4,5,7] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>[1,2,6,5,4,3,7]=>[1,2,6,3,4,5,7] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[1,5,4,6,3,2,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,4,5,7] [[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,4,5,7] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>[1,2,6,5,4,3,7]=>[1,2,6,3,4,5,7] [[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,4,5,7] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,4,5,7] [[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,4,5,7] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[1,5,4,3,6,2,7]=>[1,4,3,2,6,5,7]=>[1,4,2,3,6,5,7] [[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] [[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[2,1,6,5,4,3,7]=>[2,1,6,5,4,3,7]=>[2,1,6,3,4,5,7] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[2,1,5,6,4,3,7]=>[2,1,3,6,5,4,7]=>[2,1,3,6,4,5,7] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[2,1,4,6,5,3,7]=>[2,1,3,6,5,4,7]=>[2,1,3,6,4,5,7] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[2,1,5,4,6,3,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7] [[[.,[.,.]],[[[.,.],.],.]],.]=>[2,1,4,5,6,3,7]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3,7]=>[1,2,6,3,4,5,7] [[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,4,5,7] [[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,4,5,7] [[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[3,2,1,6,5,4,7]=>[3,2,1,6,5,4,7]=>[3,1,2,6,4,5,7] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[3,2,1,5,6,4,7]=>[3,2,1,4,6,5,7]=>[3,1,2,4,6,5,7] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[2,3,1,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,4,5,7] [[[.,[[.,.],.]],[[.,.],.]],.]=>[2,3,1,5,6,4,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>[1,3,2,6,5,4,7]=>[1,3,2,6,4,5,7] [[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[2,1,3,6,5,4,7]=>[2,1,3,6,5,4,7]=>[2,1,3,6,4,5,7] [[[[.,[.,.]],.],[[.,.],.]],.]=>[2,1,3,5,6,4,7]=>[2,1,3,4,6,5,7]=>[2,1,3,4,6,5,7] [[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,4,5,7] [[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5,7] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[4,3,2,1,6,5,7]=>[4,3,2,1,6,5,7]=>[4,1,2,3,6,5,7] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[3,4,2,1,6,5,7]=>[1,4,3,2,6,5,7]=>[1,4,2,3,6,5,7] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[2,4,3,1,6,5,7]=>[1,4,3,2,6,5,7]=>[1,4,2,3,6,5,7] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[3,2,4,1,6,5,7]=>[2,1,4,3,6,5,7]=>[2,1,4,3,6,5,7] [[[.,[[[.,.],.],.]],[.,.]],.]=>[2,3,4,1,6,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>[1,4,3,2,6,5,7]=>[1,4,2,3,6,5,7] [[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>[1,2,4,3,6,5,7]=>[1,2,4,3,6,5,7] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[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]=>[3,1,2,4,6,5,7] [[[[.,[[.,.],.]],.],[.,.]],.]=>[2,3,1,4,6,5,7]=>[1,3,2,4,6,5,7]=>[1,3,2,4,6,5,7] [[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>[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]=>[5,1,2,3,4,6,7] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[1,5,4,3,2,6,7]=>[1,5,2,3,4,6,7] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[3,5,4,2,1,6,7]=>[1,5,4,3,2,6,7]=>[1,5,2,3,4,6,7] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[2,1,5,4,3,6,7]=>[2,1,5,3,4,6,7] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[1,2,5,4,3,6,7]=>[1,2,5,3,4,6,7] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[2,5,4,3,1,6,7]=>[1,5,4,3,2,6,7]=>[1,5,2,3,4,6,7] [[[.,[[.,.],[[.,.],.]]],.],.]=>[2,4,5,3,1,6,7]=>[1,2,5,4,3,6,7]=>[1,2,5,3,4,6,7] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[3,2,5,4,1,6,7]=>[2,1,5,4,3,6,7]=>[2,1,5,3,4,6,7] [[[.,[[[.,.],.],[.,.]]],.],.]=>[2,3,5,4,1,6,7]=>[1,2,5,4,3,6,7]=>[1,2,5,3,4,6,7] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[3,2,1,5,4,6,7]=>[3,1,2,5,4,6,7] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7] [[[.,[[[.,.],[.,.]],.]],.],.]=>[2,4,3,5,1,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6,7]=>[1,5,2,3,4,6,7] [[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>[1,2,5,4,3,6,7]=>[1,2,5,3,4,6,7] [[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>[1,2,5,4,3,6,7]=>[1,2,5,3,4,6,7] [[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7] [[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[2,1,5,4,3,6,7]=>[2,1,5,4,3,6,7]=>[2,1,5,3,4,6,7] [[[[.,[.,.]],[[.,.],.]],.],.]=>[2,1,4,5,3,6,7]=>[2,1,3,5,4,6,7]=>[2,1,3,5,4,6,7] [[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,5,3,4,6,7] [[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6,7] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[3,2,1,5,4,6,7]=>[3,2,1,5,4,6,7]=>[3,1,2,5,4,6,7] [[[[.,[[.,.],.]],[.,.]],.],.]=>[2,3,1,5,4,6,7]=>[1,3,2,5,4,6,7]=>[1,3,2,5,4,6,7] [[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>[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]=>[4,1,2,3,5,6,7] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[1,4,3,2,5,6,7]=>[1,4,2,3,5,6,7] [[[[.,[[.,.],[.,.]]],.],.],.]=>[2,4,3,1,5,6,7]=>[1,4,3,2,5,6,7]=>[1,4,2,3,5,6,7] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[2,1,4,3,5,6,7]=>[2,1,4,3,5,6,7] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7] [[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,4,2,3,5,6,7] [[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6,7] [[[[[.,[.,.]],[.,.]],.],.],.]=>[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]=>[3,1,2,4,5,6,7] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6,7] [[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>[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] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[1,2,3,8,7,6,5,4]=>[1,2,3,8,4,5,6,7] [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[3,5,6,7,8,4,2,1]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,5,6,7] [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[2,5,6,7,8,4,3,1]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,5,6,7] [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[2,3,5,6,7,8,4,1]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,6,7] [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[1,5,6,7,8,4,3,2]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,5,6,7] [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[1,3,5,6,7,8,4,2]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,6,7] [[.,.],[[[.,[.,.]],[.,.]],[.,.]]]=>[1,4,3,6,5,8,7,2]=>[1,3,2,5,4,8,7,6]=>[1,3,2,5,4,8,6,7] [[.,[.,.]],[.,[.,[[[.,.],.],.]]]]=>[2,1,6,7,8,5,4,3]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,5,6,7] [[.,[.,.]],[.,[[.,[[.,.],.]],.]]]=>[2,1,6,7,5,8,4,3]=>[2,1,3,5,4,8,7,6]=>[2,1,3,5,4,8,6,7] [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[1,2,5,6,7,8,4,3]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,8,6,7] [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[1,2,3,5,6,7,8,4]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,8,7] [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[4,3,2,1,8,7,6,5]=>[4,3,2,1,8,7,6,5]=>[4,1,2,3,8,5,6,7] [[.,[.,[.,[.,.]]]],[.,[[.,.],.]]]=>[4,3,2,1,7,8,6,5]=>[4,3,2,1,5,8,7,6]=>[4,1,2,3,5,8,6,7] [[.,[.,[.,[.,.]]]],[[.,.],[.,.]]]=>[4,3,2,1,6,8,7,5]=>[4,3,2,1,5,8,7,6]=>[4,1,2,3,5,8,6,7] [[.,[.,[.,[.,.]]]],[[.,[.,.]],.]]=>[4,3,2,1,7,6,8,5]=>[4,3,2,1,6,5,8,7]=>[4,1,2,3,6,5,8,7] [[.,[.,[.,[.,.]]]],[[[.,.],.],.]]=>[4,3,2,1,6,7,8,5]=>[4,3,2,1,5,6,8,7]=>[4,1,2,3,5,6,8,7] [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[3,4,2,1,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[1,4,2,3,8,5,6,7] [[.,[.,[[.,.],.]]],[.,[[.,.],.]]]=>[3,4,2,1,7,8,6,5]=>[1,4,3,2,5,8,7,6]=>[1,4,2,3,5,8,6,7] [[.,[[.,.],[.,.]]],[.,[.,[.,.]]]]=>[2,4,3,1,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[1,4,2,3,8,5,6,7] [[.,[[.,.],[.,.]]],[[.,.],[.,.]]]=>[2,4,3,1,6,8,7,5]=>[1,4,3,2,5,8,7,6]=>[1,4,2,3,5,8,6,7] [[.,[[.,[.,.]],.]],[.,[.,[.,.]]]]=>[3,2,4,1,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,5,6,7] [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[2,3,4,1,8,7,6,5]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,5,6,7] [[[.,.],[.,[.,.]]],[.,[.,[.,.]]]]=>[1,4,3,2,8,7,6,5]=>[1,4,3,2,8,7,6,5]=>[1,4,2,3,8,5,6,7] [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[1,3,4,2,8,7,6,5]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,5,6,7] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,7,6,5]=>[2,1,4,3,8,5,6,7] [[[.,[.,.]],[.,.]],[.,[[.,.],.]]]=>[2,1,4,3,7,8,6,5]=>[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,8,6,7] [[[.,[.,.]],[.,.]],[[.,.],[.,.]]]=>[2,1,4,3,6,8,7,5]=>[2,1,4,3,5,8,7,6]=>[2,1,4,3,5,8,6,7] [[[[.,.],.],[.,.]],[.,[.,[.,.]]]]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,7,6,5]=>[1,2,4,3,8,5,6,7] [[[.,[.,[.,.]]],.],[.,[.,[.,.]]]]=>[3,2,1,4,8,7,6,5]=>[3,2,1,4,8,7,6,5]=>[3,1,2,4,8,5,6,7] [[[.,[[.,.],.]],.],[.,[.,[.,.]]]]=>[2,3,1,4,8,7,6,5]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,5,6,7] [[[[.,.],[.,.]],.],[.,[.,[.,.]]]]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,7,6,5]=>[1,3,2,4,8,5,6,7] [[[[.,[.,.]],.],.],[.,[.,[.,.]]]]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,7,6,5]=>[2,1,3,4,8,5,6,7] [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,8,5,6,7] [[[.,[.,[.,[.,.]]]],.],[.,[.,.]]]=>[4,3,2,1,5,8,7,6]=>[4,3,2,1,5,8,7,6]=>[4,1,2,3,5,8,6,7] [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[4,3,2,1,5,7,8,6]=>[4,3,2,1,5,6,8,7]=>[4,1,2,3,5,6,8,7] [[.,[.,[.,[[[.,.],.],.]]]],[.,.]]=>[4,5,6,3,2,1,8,7]=>[1,2,6,5,4,3,8,7]=>[1,2,6,3,4,5,8,7] [[.,[.,[[.,[[.,.],.]],.]]],[.,.]]=>[4,5,3,6,2,1,8,7]=>[1,3,2,6,5,4,8,7]=>[1,3,2,6,4,5,8,7] [[[.,[.,.]],[.,[[.,.],.]]],[.,.]]=>[2,1,5,6,4,3,8,7]=>[2,1,3,6,5,4,8,7]=>[2,1,3,6,4,5,8,7] [[[.,[.,.]],[[.,.],[.,.]]],[.,.]]=>[2,1,4,6,5,3,8,7]=>[2,1,3,6,5,4,8,7]=>[2,1,3,6,4,5,8,7] [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[4,3,2,1,6,5,8,7]=>[4,3,2,1,6,5,8,7]=>[4,1,2,3,6,5,8,7] [[[.,[.,[[.,.],.]]],[.,.]],[.,.]]=>[3,4,2,1,6,5,8,7]=>[1,4,3,2,6,5,8,7]=>[1,4,2,3,6,5,8,7] [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[2,4,3,1,6,5,8,7]=>[1,4,3,2,6,5,8,7]=>[1,4,2,3,6,5,8,7] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7]=>[2,1,4,3,6,5,8,7] [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[4,3,2,1,5,6,8,7]=>[4,3,2,1,5,6,8,7]=>[4,1,2,3,5,6,8,7] [[[.,[.,[.,[.,.]]]],[.,[.,.]]],.]=>[4,3,2,1,7,6,5,8]=>[4,3,2,1,7,6,5,8]=>[4,1,2,3,7,5,6,8] [[[.,[.,[.,[.,.]]]],[[.,.],.]],.]=>[4,3,2,1,6,7,5,8]=>[4,3,2,1,5,7,6,8]=>[4,1,2,3,5,7,6,8] [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[4,3,2,1,5,7,6,8]=>[4,3,2,1,5,7,6,8]=>[4,1,2,3,5,7,6,8] [[[[.,[.,[.,[.,.]]]],[.,.]],.],.]=>[4,3,2,1,6,5,7,8]=>[4,3,2,1,6,5,7,8]=>[4,1,2,3,6,5,7,8] [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,1,2,3,5,6,7,8]
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 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..
Map
first fundamental transformation
Description
Return the permutation whose cycles are the subsequences between successive left to right maxima.