Identifier
Mp00014: Binary trees —to 132-avoiding permutation⟶ Permutations
Mp00067: Permutations —Foata bijection⟶ Permutations
Mp00252: Permutations —restriction⟶ Permutations
Images
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>[] [.,[.,.]]=>[2,1]=>[2,1]=>[1] [[.,.],.]=>[1,2]=>[1,2]=>[1] [.,[.,[.,.]]]=>[3,2,1]=>[3,2,1]=>[2,1] [.,[[.,.],.]]=>[2,3,1]=>[2,3,1]=>[2,1] [[.,.],[.,.]]=>[3,1,2]=>[1,3,2]=>[1,2] [[.,[.,.]],.]=>[2,1,3]=>[2,1,3]=>[2,1] [[[.,.],.],.]=>[1,2,3]=>[1,2,3]=>[1,2] [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[4,3,2,1]=>[3,2,1] [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[3,4,2,1]=>[3,2,1] [.,[[.,.],[.,.]]]=>[4,2,3,1]=>[2,4,3,1]=>[2,3,1] [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[3,2,4,1]=>[3,2,1] [.,[[[.,.],.],.]]=>[2,3,4,1]=>[2,3,4,1]=>[2,3,1] [[.,.],[.,[.,.]]]=>[4,3,1,2]=>[1,4,3,2]=>[1,3,2] [[.,.],[[.,.],.]]=>[3,4,1,2]=>[1,3,4,2]=>[1,3,2] [[.,[.,.]],[.,.]]=>[4,2,1,3]=>[2,4,1,3]=>[2,1,3] [[[.,.],.],[.,.]]=>[4,1,2,3]=>[1,2,4,3]=>[1,2,3] [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[3,2,1,4]=>[3,2,1] [[.,[[.,.],.]],.]=>[2,3,1,4]=>[2,3,1,4]=>[2,3,1] [[[.,.],[.,.]],.]=>[3,1,2,4]=>[1,3,2,4]=>[1,3,2] [[[.,[.,.]],.],.]=>[2,1,3,4]=>[2,1,3,4]=>[2,1,3] [[[[.,.],.],.],.]=>[1,2,3,4]=>[1,2,3,4]=>[1,2,3] [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[5,4,3,2,1]=>[4,3,2,1] [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[4,5,3,2,1]=>[4,3,2,1] [.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>[3,5,4,2,1]=>[3,4,2,1] [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[4,3,5,2,1]=>[4,3,2,1] [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[3,4,5,2,1]=>[3,4,2,1] [.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>[2,5,4,3,1]=>[2,4,3,1] [.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>[2,4,5,3,1]=>[2,4,3,1] [.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>[3,5,2,4,1]=>[3,2,4,1] [.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>[2,3,5,4,1]=>[2,3,4,1] [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[4,3,2,5,1]=>[4,3,2,1] [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[3,4,2,5,1]=>[3,4,2,1] [.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>[2,4,3,5,1]=>[2,4,3,1] [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[3,2,4,5,1]=>[3,2,4,1] [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[2,3,4,5,1]=>[2,3,4,1] [[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>[1,5,4,3,2]=>[1,4,3,2] [[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>[1,4,5,3,2]=>[1,4,3,2] [[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>[1,3,5,4,2]=>[1,3,4,2] [[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>[1,4,3,5,2]=>[1,4,3,2] [[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>[1,3,4,5,2]=>[1,3,4,2] [[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>[2,5,4,1,3]=>[2,4,1,3] [[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>[2,4,5,1,3]=>[2,4,1,3] [[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>[1,2,5,4,3]=>[1,2,4,3] [[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>[1,2,4,5,3]=>[1,2,4,3] [[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>[3,5,2,1,4]=>[3,2,1,4] [[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>[2,3,5,1,4]=>[2,3,1,4] [[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>[1,3,5,2,4]=>[1,3,2,4] [[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>[2,1,5,3,4]=>[2,1,3,4] [[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>[1,2,3,5,4]=>[1,2,3,4] [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[4,3,2,1,5]=>[4,3,2,1] [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[3,4,2,1,5]=>[3,4,2,1] [[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>[2,4,3,1,5]=>[2,4,3,1] [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[3,2,4,1,5]=>[3,2,4,1] [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[2,3,4,1,5]=>[2,3,4,1] [[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>[1,4,3,2,5]=>[1,4,3,2] [[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>[1,3,4,2,5]=>[1,3,4,2] [[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>[2,4,1,3,5]=>[2,4,1,3] [[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>[1,2,4,3,5]=>[1,2,4,3] [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[3,2,1,4,5]=>[3,2,1,4] [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[2,3,1,4,5]=>[2,3,1,4] [[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>[1,3,2,4,5]=>[1,3,2,4] [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[2,1,3,4,5]=>[2,1,3,4] [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[1,2,3,4,5]=>[1,2,3,4] [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[6,5,4,3,2,1]=>[5,4,3,2,1] [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[5,6,4,3,2,1]=>[5,4,3,2,1] [.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>[4,6,5,3,2,1]=>[4,5,3,2,1] [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[5,4,6,3,2,1]=>[5,4,3,2,1] [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[4,5,6,3,2,1]=>[4,5,3,2,1] [.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>[3,6,5,4,2,1]=>[3,5,4,2,1] [.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>[3,5,6,4,2,1]=>[3,5,4,2,1] [.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>[4,6,3,5,2,1]=>[4,3,5,2,1] [.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>[3,4,6,5,2,1]=>[3,4,5,2,1] [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[5,4,3,6,2,1]=>[5,4,3,2,1] [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[4,5,3,6,2,1]=>[4,5,3,2,1] [.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>[3,5,4,6,2,1]=>[3,5,4,2,1] [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[4,3,5,6,2,1]=>[4,3,5,2,1] [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[3,4,5,6,2,1]=>[3,4,5,2,1] [.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>[2,6,5,4,3,1]=>[2,5,4,3,1] [.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>[2,5,6,4,3,1]=>[2,5,4,3,1] [.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>[2,4,6,5,3,1]=>[2,4,5,3,1] [.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>[2,5,4,6,3,1]=>[2,5,4,3,1] [.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>[2,4,5,6,3,1]=>[2,4,5,3,1] [.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>[3,6,5,2,4,1]=>[3,5,2,4,1] [.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>[3,5,6,2,4,1]=>[3,5,2,4,1] [.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>[2,3,6,5,4,1]=>[2,3,5,4,1] [.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>[2,3,5,6,4,1]=>[2,3,5,4,1] [.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>[4,6,3,2,5,1]=>[4,3,2,5,1] [.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>[3,4,6,2,5,1]=>[3,4,2,5,1] [.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>[2,4,6,3,5,1]=>[2,4,3,5,1] [.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>[3,2,6,4,5,1]=>[3,2,4,5,1] [.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>[2,3,4,6,5,1]=>[2,3,4,5,1] [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[5,4,3,2,6,1]=>[5,4,3,2,1] [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[4,5,3,2,6,1]=>[4,5,3,2,1] [.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>[3,5,4,2,6,1]=>[3,5,4,2,1] [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[4,3,5,2,6,1]=>[4,3,5,2,1] [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[3,4,5,2,6,1]=>[3,4,5,2,1] [.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>[2,5,4,3,6,1]=>[2,5,4,3,1] [.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>[2,4,5,3,6,1]=>[2,4,5,3,1] [.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>[3,5,2,4,6,1]=>[3,5,2,4,1] [.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>[2,3,5,4,6,1]=>[2,3,5,4,1] [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[4,3,2,5,6,1]=>[4,3,2,5,1] [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[3,4,2,5,6,1]=>[3,4,2,5,1] [.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>[2,4,3,5,6,1]=>[2,4,3,5,1] [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[3,2,4,5,6,1]=>[3,2,4,5,1] [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[2,3,4,5,6,1]=>[2,3,4,5,1] [[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>[1,6,5,4,3,2]=>[1,5,4,3,2] [[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>[1,5,6,4,3,2]=>[1,5,4,3,2] [[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>[1,4,6,5,3,2]=>[1,4,5,3,2] [[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>[1,5,4,6,3,2]=>[1,5,4,3,2] [[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>[1,4,5,6,3,2]=>[1,4,5,3,2] [[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>[1,3,6,5,4,2]=>[1,3,5,4,2] [[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>[1,3,5,6,4,2]=>[1,3,5,4,2] [[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>[1,4,6,3,5,2]=>[1,4,3,5,2] [[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>[1,3,4,6,5,2]=>[1,3,4,5,2] [[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>[1,5,4,3,6,2]=>[1,5,4,3,2] [[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>[1,4,5,3,6,2]=>[1,4,5,3,2] [[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>[1,3,5,4,6,2]=>[1,3,5,4,2] [[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>[1,4,3,5,6,2]=>[1,4,3,5,2] [[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>[1,3,4,5,6,2]=>[1,3,4,5,2] [[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>[2,6,5,4,1,3]=>[2,5,4,1,3] [[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>[2,5,6,4,1,3]=>[2,5,4,1,3] [[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>[2,4,6,5,1,3]=>[2,4,5,1,3] [[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>[2,5,4,6,1,3]=>[2,5,4,1,3] [[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>[2,4,5,6,1,3]=>[2,4,5,1,3] [[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>[1,2,6,5,4,3]=>[1,2,5,4,3] [[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>[1,2,5,6,4,3]=>[1,2,5,4,3] [[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>[1,2,4,6,5,3]=>[1,2,4,5,3] [[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>[1,2,5,4,6,3]=>[1,2,5,4,3] [[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>[1,2,4,5,6,3]=>[1,2,4,5,3] [[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>[3,6,5,2,1,4]=>[3,5,2,1,4] [[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>[3,5,6,2,1,4]=>[3,5,2,1,4] [[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>[2,3,6,5,1,4]=>[2,3,5,1,4] [[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>[2,3,5,6,1,4]=>[2,3,5,1,4] [[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>[1,3,6,5,2,4]=>[1,3,5,2,4] [[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>[1,3,5,6,2,4]=>[1,3,5,2,4] [[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>[2,1,6,5,3,4]=>[2,1,5,3,4] [[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>[2,1,5,6,3,4]=>[2,1,5,3,4] [[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>[1,2,3,6,5,4]=>[1,2,3,5,4] [[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>[1,2,3,5,6,4]=>[1,2,3,5,4] [[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>[4,6,3,2,1,5]=>[4,3,2,1,5] [[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>[3,4,6,2,1,5]=>[3,4,2,1,5] [[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>[2,4,6,3,1,5]=>[2,4,3,1,5] [[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>[3,2,6,4,1,5]=>[3,2,4,1,5] [[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>[2,3,4,6,1,5]=>[2,3,4,1,5] [[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>[1,4,6,3,2,5]=>[1,4,3,2,5] [[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>[1,3,4,6,2,5]=>[1,3,4,2,5] [[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>[2,4,6,1,3,5]=>[2,4,1,3,5] [[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>[1,2,4,6,3,5]=>[1,2,4,3,5] [[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>[3,2,6,1,4,5]=>[3,2,1,4,5] [[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>[2,3,1,6,4,5]=>[2,3,1,4,5] [[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>[1,3,2,6,4,5]=>[1,3,2,4,5] [[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>[2,1,3,6,4,5]=>[2,1,3,4,5] [[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>[1,2,3,4,6,5]=>[1,2,3,4,5] [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[5,4,3,2,1,6]=>[5,4,3,2,1] [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[4,5,3,2,1,6]=>[4,5,3,2,1] [[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>[3,5,4,2,1,6]=>[3,5,4,2,1] [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[4,3,5,2,1,6]=>[4,3,5,2,1] [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[3,4,5,2,1,6]=>[3,4,5,2,1] [[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>[2,5,4,3,1,6]=>[2,5,4,3,1] [[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>[2,4,5,3,1,6]=>[2,4,5,3,1] [[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>[3,5,2,4,1,6]=>[3,5,2,4,1] [[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>[2,3,5,4,1,6]=>[2,3,5,4,1] [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[4,3,2,5,1,6]=>[4,3,2,5,1] [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[3,4,2,5,1,6]=>[3,4,2,5,1] [[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>[2,4,3,5,1,6]=>[2,4,3,5,1] [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[3,2,4,5,1,6]=>[3,2,4,5,1] [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[2,3,4,5,1,6]=>[2,3,4,5,1] [[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>[1,5,4,3,2,6]=>[1,5,4,3,2] [[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>[1,4,5,3,2,6]=>[1,4,5,3,2] [[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>[1,3,5,4,2,6]=>[1,3,5,4,2] [[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>[1,4,3,5,2,6]=>[1,4,3,5,2] [[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>[1,3,4,5,2,6]=>[1,3,4,5,2] [[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>[2,5,4,1,3,6]=>[2,5,4,1,3] [[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>[2,4,5,1,3,6]=>[2,4,5,1,3] [[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>[1,2,5,4,3,6]=>[1,2,5,4,3] [[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>[1,2,4,5,3,6]=>[1,2,4,5,3] [[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>[3,5,2,1,4,6]=>[3,5,2,1,4] [[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>[2,3,5,1,4,6]=>[2,3,5,1,4] [[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>[1,3,5,2,4,6]=>[1,3,5,2,4] [[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>[2,1,5,3,4,6]=>[2,1,5,3,4] [[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>[1,2,3,5,4,6]=>[1,2,3,5,4] [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[4,3,2,1,5,6]=>[4,3,2,1,5] [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[3,4,2,1,5,6]=>[3,4,2,1,5] [[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>[2,4,3,1,5,6]=>[2,4,3,1,5] [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[3,2,4,1,5,6]=>[3,2,4,1,5] [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[2,3,4,1,5,6]=>[2,3,4,1,5] [[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>[1,4,3,2,5,6]=>[1,4,3,2,5] [[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>[1,3,4,2,5,6]=>[1,3,4,2,5] [[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>[2,4,1,3,5,6]=>[2,4,1,3,5] [[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>[1,2,4,3,5,6]=>[1,2,4,3,5] [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[3,2,1,4,5,6]=>[3,2,1,4,5] [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[2,3,1,4,5,6]=>[2,3,1,4,5] [[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>[1,3,2,4,5,6]=>[1,3,2,4,5] [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[2,1,3,4,5,6]=>[2,1,3,4,5] [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[1,2,3,4,5,6]=>[1,2,3,4,5] [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1]=>[6,5,4,3,2,1] [.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>[6,7,5,4,3,2,1]=>[6,5,4,3,2,1] [.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>[5,7,6,4,3,2,1]=>[5,6,4,3,2,1] [.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>[6,5,7,4,3,2,1]=>[6,5,4,3,2,1] [.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>[5,6,7,4,3,2,1]=>[5,6,4,3,2,1] [.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>[4,7,6,5,3,2,1]=>[4,6,5,3,2,1] [.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>[4,6,7,5,3,2,1]=>[4,6,5,3,2,1] [.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>[5,7,4,6,3,2,1]=>[5,4,6,3,2,1] [.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>[4,5,7,6,3,2,1]=>[4,5,6,3,2,1] [.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>[6,5,4,7,3,2,1]=>[6,5,4,3,2,1] [.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>[5,6,4,7,3,2,1]=>[5,6,4,3,2,1] [.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>[4,6,5,7,3,2,1]=>[4,6,5,3,2,1] [.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>[5,4,6,7,3,2,1]=>[5,4,6,3,2,1] [.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>[4,5,6,7,3,2,1]=>[4,5,6,3,2,1] [.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>[3,7,6,5,4,2,1]=>[3,6,5,4,2,1] [.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>[3,6,7,5,4,2,1]=>[3,6,5,4,2,1] [.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>[3,5,7,6,4,2,1]=>[3,5,6,4,2,1] [.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>[3,6,5,7,4,2,1]=>[3,6,5,4,2,1] [.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>[3,5,6,7,4,2,1]=>[3,5,6,4,2,1] [.,[.,[[.,[.,.]],[.,[.,.]]]]]=>[7,6,4,3,5,2,1]=>[4,7,6,3,5,2,1]=>[4,6,3,5,2,1] [.,[.,[[.,[.,.]],[[.,.],.]]]]=>[6,7,4,3,5,2,1]=>[4,6,7,3,5,2,1]=>[4,6,3,5,2,1] [.,[.,[[[.,.],.],[.,[.,.]]]]]=>[7,6,3,4,5,2,1]=>[3,4,7,6,5,2,1]=>[3,4,6,5,2,1] [.,[.,[[[.,.],.],[[.,.],.]]]]=>[6,7,3,4,5,2,1]=>[3,4,6,7,5,2,1]=>[3,4,6,5,2,1] [.,[.,[[.,[.,[.,.]]],[.,.]]]]=>[7,5,4,3,6,2,1]=>[5,7,4,3,6,2,1]=>[5,4,3,6,2,1] [.,[.,[[.,[[.,.],.]],[.,.]]]]=>[7,4,5,3,6,2,1]=>[4,5,7,3,6,2,1]=>[4,5,3,6,2,1] [.,[.,[[[.,.],[.,.]],[.,.]]]]=>[7,5,3,4,6,2,1]=>[3,5,7,4,6,2,1]=>[3,5,4,6,2,1] [.,[.,[[[.,[.,.]],.],[.,.]]]]=>[7,4,3,5,6,2,1]=>[4,3,7,5,6,2,1]=>[4,3,5,6,2,1] [.,[.,[[[[.,.],.],.],[.,.]]]]=>[7,3,4,5,6,2,1]=>[3,4,5,7,6,2,1]=>[3,4,5,6,2,1] [.,[.,[[.,[.,[.,[.,.]]]],.]]]=>[6,5,4,3,7,2,1]=>[6,5,4,3,7,2,1]=>[6,5,4,3,2,1] [.,[.,[[.,[.,[[.,.],.]]],.]]]=>[5,6,4,3,7,2,1]=>[5,6,4,3,7,2,1]=>[5,6,4,3,2,1] [.,[.,[[.,[[.,.],[.,.]]],.]]]=>[6,4,5,3,7,2,1]=>[4,6,5,3,7,2,1]=>[4,6,5,3,2,1] [.,[.,[[.,[[.,[.,.]],.]],.]]]=>[5,4,6,3,7,2,1]=>[5,4,6,3,7,2,1]=>[5,4,6,3,2,1] [.,[.,[[.,[[[.,.],.],.]],.]]]=>[4,5,6,3,7,2,1]=>[4,5,6,3,7,2,1]=>[4,5,6,3,2,1] [.,[.,[[[.,.],[.,[.,.]]],.]]]=>[6,5,3,4,7,2,1]=>[3,6,5,4,7,2,1]=>[3,6,5,4,2,1] [.,[.,[[[.,.],[[.,.],.]],.]]]=>[5,6,3,4,7,2,1]=>[3,5,6,4,7,2,1]=>[3,5,6,4,2,1] [.,[.,[[[.,[.,.]],[.,.]],.]]]=>[6,4,3,5,7,2,1]=>[4,6,3,5,7,2,1]=>[4,6,3,5,2,1] [.,[.,[[[[.,.],.],[.,.]],.]]]=>[6,3,4,5,7,2,1]=>[3,4,6,5,7,2,1]=>[3,4,6,5,2,1] [.,[.,[[[.,[.,[.,.]]],.],.]]]=>[5,4,3,6,7,2,1]=>[5,4,3,6,7,2,1]=>[5,4,3,6,2,1] [.,[.,[[[.,[[.,.],.]],.],.]]]=>[4,5,3,6,7,2,1]=>[4,5,3,6,7,2,1]=>[4,5,3,6,2,1] [.,[.,[[[[.,.],[.,.]],.],.]]]=>[5,3,4,6,7,2,1]=>[3,5,4,6,7,2,1]=>[3,5,4,6,2,1] [.,[.,[[[[.,[.,.]],.],.],.]]]=>[4,3,5,6,7,2,1]=>[4,3,5,6,7,2,1]=>[4,3,5,6,2,1] [.,[.,[[[[[.,.],.],.],.],.]]]=>[3,4,5,6,7,2,1]=>[3,4,5,6,7,2,1]=>[3,4,5,6,2,1] [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,2,3,1]=>[2,7,6,5,4,3,1]=>[2,6,5,4,3,1] [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[6,7,5,4,2,3,1]=>[2,6,7,5,4,3,1]=>[2,6,5,4,3,1] [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[7,5,6,4,2,3,1]=>[2,5,7,6,4,3,1]=>[2,5,6,4,3,1] [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[6,5,7,4,2,3,1]=>[2,6,5,7,4,3,1]=>[2,6,5,4,3,1] [.,[[.,.],[.,[[[.,.],.],.]]]]=>[5,6,7,4,2,3,1]=>[2,5,6,7,4,3,1]=>[2,5,6,4,3,1] [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[7,6,4,5,2,3,1]=>[2,4,7,6,5,3,1]=>[2,4,6,5,3,1] [.,[[.,.],[[.,.],[[.,.],.]]]]=>[6,7,4,5,2,3,1]=>[2,4,6,7,5,3,1]=>[2,4,6,5,3,1] [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[7,5,4,6,2,3,1]=>[2,5,7,4,6,3,1]=>[2,5,4,6,3,1] [.,[[.,.],[[[.,.],.],[.,.]]]]=>[7,4,5,6,2,3,1]=>[2,4,5,7,6,3,1]=>[2,4,5,6,3,1] [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[6,5,4,7,2,3,1]=>[2,6,5,4,7,3,1]=>[2,6,5,4,3,1] [.,[[.,.],[[.,[[.,.],.]],.]]]=>[5,6,4,7,2,3,1]=>[2,5,6,4,7,3,1]=>[2,5,6,4,3,1] [.,[[.,.],[[[.,.],[.,.]],.]]]=>[6,4,5,7,2,3,1]=>[2,4,6,5,7,3,1]=>[2,4,6,5,3,1] [.,[[.,.],[[[.,[.,.]],.],.]]]=>[5,4,6,7,2,3,1]=>[2,5,4,6,7,3,1]=>[2,5,4,6,3,1] [.,[[.,.],[[[[.,.],.],.],.]]]=>[4,5,6,7,2,3,1]=>[2,4,5,6,7,3,1]=>[2,4,5,6,3,1] [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[7,6,5,3,2,4,1]=>[3,7,6,5,2,4,1]=>[3,6,5,2,4,1] [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[6,7,5,3,2,4,1]=>[3,6,7,5,2,4,1]=>[3,6,5,2,4,1] [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[7,5,6,3,2,4,1]=>[3,5,7,6,2,4,1]=>[3,5,6,2,4,1] [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[6,5,7,3,2,4,1]=>[3,6,5,7,2,4,1]=>[3,6,5,2,4,1] [.,[[.,[.,.]],[[[.,.],.],.]]]=>[5,6,7,3,2,4,1]=>[3,5,6,7,2,4,1]=>[3,5,6,2,4,1] [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[7,6,5,2,3,4,1]=>[2,3,7,6,5,4,1]=>[2,3,6,5,4,1] [.,[[[.,.],.],[.,[[.,.],.]]]]=>[6,7,5,2,3,4,1]=>[2,3,6,7,5,4,1]=>[2,3,6,5,4,1] [.,[[[.,.],.],[[.,.],[.,.]]]]=>[7,5,6,2,3,4,1]=>[2,3,5,7,6,4,1]=>[2,3,5,6,4,1] [.,[[[.,.],.],[[.,[.,.]],.]]]=>[6,5,7,2,3,4,1]=>[2,3,6,5,7,4,1]=>[2,3,6,5,4,1] [.,[[[.,.],.],[[[.,.],.],.]]]=>[5,6,7,2,3,4,1]=>[2,3,5,6,7,4,1]=>[2,3,5,6,4,1] [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[7,6,4,3,2,5,1]=>[4,7,6,3,2,5,1]=>[4,6,3,2,5,1] [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[6,7,4,3,2,5,1]=>[4,6,7,3,2,5,1]=>[4,6,3,2,5,1] [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[7,6,3,4,2,5,1]=>[3,4,7,6,2,5,1]=>[3,4,6,2,5,1] [.,[[.,[[.,.],.]],[[.,.],.]]]=>[6,7,3,4,2,5,1]=>[3,4,6,7,2,5,1]=>[3,4,6,2,5,1] [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[7,6,4,2,3,5,1]=>[2,4,7,6,3,5,1]=>[2,4,6,3,5,1] [.,[[[.,.],[.,.]],[[.,.],.]]]=>[6,7,4,2,3,5,1]=>[2,4,6,7,3,5,1]=>[2,4,6,3,5,1] [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[7,6,3,2,4,5,1]=>[3,2,7,6,4,5,1]=>[3,2,6,4,5,1] [.,[[[.,[.,.]],.],[[.,.],.]]]=>[6,7,3,2,4,5,1]=>[3,2,6,7,4,5,1]=>[3,2,6,4,5,1] [.,[[[[.,.],.],.],[.,[.,.]]]]=>[7,6,2,3,4,5,1]=>[2,3,4,7,6,5,1]=>[2,3,4,6,5,1] [.,[[[[.,.],.],.],[[.,.],.]]]=>[6,7,2,3,4,5,1]=>[2,3,4,6,7,5,1]=>[2,3,4,6,5,1] [.,[[.,[.,[.,[.,.]]]],[.,.]]]=>[7,5,4,3,2,6,1]=>[5,7,4,3,2,6,1]=>[5,4,3,2,6,1] [.,[[.,[.,[[.,.],.]]],[.,.]]]=>[7,4,5,3,2,6,1]=>[4,5,7,3,2,6,1]=>[4,5,3,2,6,1] [.,[[.,[[.,.],[.,.]]],[.,.]]]=>[7,5,3,4,2,6,1]=>[3,5,7,4,2,6,1]=>[3,5,4,2,6,1] [.,[[.,[[.,[.,.]],.]],[.,.]]]=>[7,4,3,5,2,6,1]=>[4,3,7,5,2,6,1]=>[4,3,5,2,6,1] [.,[[.,[[[.,.],.],.]],[.,.]]]=>[7,3,4,5,2,6,1]=>[3,4,5,7,2,6,1]=>[3,4,5,2,6,1] [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[7,5,4,2,3,6,1]=>[2,5,7,4,3,6,1]=>[2,5,4,3,6,1] [.,[[[.,.],[[.,.],.]],[.,.]]]=>[7,4,5,2,3,6,1]=>[2,4,5,7,3,6,1]=>[2,4,5,3,6,1] [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[7,5,3,2,4,6,1]=>[3,5,7,2,4,6,1]=>[3,5,2,4,6,1] [.,[[[[.,.],.],[.,.]],[.,.]]]=>[7,5,2,3,4,6,1]=>[2,3,5,7,4,6,1]=>[2,3,5,4,6,1] [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[7,4,3,2,5,6,1]=>[4,3,7,2,5,6,1]=>[4,3,2,5,6,1] [.,[[[.,[[.,.],.]],.],[.,.]]]=>[7,3,4,2,5,6,1]=>[3,4,2,7,5,6,1]=>[3,4,2,5,6,1] [.,[[[[.,.],[.,.]],.],[.,.]]]=>[7,4,2,3,5,6,1]=>[2,4,3,7,5,6,1]=>[2,4,3,5,6,1] [.,[[[[.,[.,.]],.],.],[.,.]]]=>[7,3,2,4,5,6,1]=>[3,2,4,7,5,6,1]=>[3,2,4,5,6,1] [.,[[[[[.,.],.],.],.],[.,.]]]=>[7,2,3,4,5,6,1]=>[2,3,4,5,7,6,1]=>[2,3,4,5,6,1] [.,[[.,[.,[.,[.,[.,.]]]]],.]]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,7,1]=>[6,5,4,3,2,1] [.,[[.,[.,[.,[[.,.],.]]]],.]]=>[5,6,4,3,2,7,1]=>[5,6,4,3,2,7,1]=>[5,6,4,3,2,1] [.,[[.,[.,[[.,.],[.,.]]]],.]]=>[6,4,5,3,2,7,1]=>[4,6,5,3,2,7,1]=>[4,6,5,3,2,1] [.,[[.,[.,[[.,[.,.]],.]]],.]]=>[5,4,6,3,2,7,1]=>[5,4,6,3,2,7,1]=>[5,4,6,3,2,1] [.,[[.,[.,[[[.,.],.],.]]],.]]=>[4,5,6,3,2,7,1]=>[4,5,6,3,2,7,1]=>[4,5,6,3,2,1] [.,[[.,[[.,.],[.,[.,.]]]],.]]=>[6,5,3,4,2,7,1]=>[3,6,5,4,2,7,1]=>[3,6,5,4,2,1] [.,[[.,[[.,.],[[.,.],.]]],.]]=>[5,6,3,4,2,7,1]=>[3,5,6,4,2,7,1]=>[3,5,6,4,2,1] [.,[[.,[[.,[.,.]],[.,.]]],.]]=>[6,4,3,5,2,7,1]=>[4,6,3,5,2,7,1]=>[4,6,3,5,2,1] [.,[[.,[[[.,.],.],[.,.]]],.]]=>[6,3,4,5,2,7,1]=>[3,4,6,5,2,7,1]=>[3,4,6,5,2,1] [.,[[.,[[.,[.,[.,.]]],.]],.]]=>[5,4,3,6,2,7,1]=>[5,4,3,6,2,7,1]=>[5,4,3,6,2,1] [.,[[.,[[.,[[.,.],.]],.]],.]]=>[4,5,3,6,2,7,1]=>[4,5,3,6,2,7,1]=>[4,5,3,6,2,1] [.,[[.,[[[.,.],[.,.]],.]],.]]=>[5,3,4,6,2,7,1]=>[3,5,4,6,2,7,1]=>[3,5,4,6,2,1] [.,[[.,[[[.,[.,.]],.],.]],.]]=>[4,3,5,6,2,7,1]=>[4,3,5,6,2,7,1]=>[4,3,5,6,2,1] [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>[3,4,5,6,2,7,1]=>[3,4,5,6,2,1] [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[6,5,4,2,3,7,1]=>[2,6,5,4,3,7,1]=>[2,6,5,4,3,1] [.,[[[.,.],[.,[[.,.],.]]],.]]=>[5,6,4,2,3,7,1]=>[2,5,6,4,3,7,1]=>[2,5,6,4,3,1] [.,[[[.,.],[[.,.],[.,.]]],.]]=>[6,4,5,2,3,7,1]=>[2,4,6,5,3,7,1]=>[2,4,6,5,3,1] [.,[[[.,.],[[.,[.,.]],.]],.]]=>[5,4,6,2,3,7,1]=>[2,5,4,6,3,7,1]=>[2,5,4,6,3,1] [.,[[[.,.],[[[.,.],.],.]],.]]=>[4,5,6,2,3,7,1]=>[2,4,5,6,3,7,1]=>[2,4,5,6,3,1] [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[6,5,3,2,4,7,1]=>[3,6,5,2,4,7,1]=>[3,6,5,2,4,1] [.,[[[.,[.,.]],[[.,.],.]],.]]=>[5,6,3,2,4,7,1]=>[3,5,6,2,4,7,1]=>[3,5,6,2,4,1] [.,[[[[.,.],.],[.,[.,.]]],.]]=>[6,5,2,3,4,7,1]=>[2,3,6,5,4,7,1]=>[2,3,6,5,4,1] [.,[[[[.,.],.],[[.,.],.]],.]]=>[5,6,2,3,4,7,1]=>[2,3,5,6,4,7,1]=>[2,3,5,6,4,1] [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[6,4,3,2,5,7,1]=>[4,6,3,2,5,7,1]=>[4,6,3,2,5,1] [.,[[[.,[[.,.],.]],[.,.]],.]]=>[6,3,4,2,5,7,1]=>[3,4,6,2,5,7,1]=>[3,4,6,2,5,1] [.,[[[[.,.],[.,.]],[.,.]],.]]=>[6,4,2,3,5,7,1]=>[2,4,6,3,5,7,1]=>[2,4,6,3,5,1] [.,[[[[.,[.,.]],.],[.,.]],.]]=>[6,3,2,4,5,7,1]=>[3,2,6,4,5,7,1]=>[3,2,6,4,5,1] [.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>[2,3,4,6,5,7,1]=>[2,3,4,6,5,1] [.,[[[.,[.,[.,[.,.]]]],.],.]]=>[5,4,3,2,6,7,1]=>[5,4,3,2,6,7,1]=>[5,4,3,2,6,1] [.,[[[.,[.,[[.,.],.]]],.],.]]=>[4,5,3,2,6,7,1]=>[4,5,3,2,6,7,1]=>[4,5,3,2,6,1] [.,[[[.,[[.,.],[.,.]]],.],.]]=>[5,3,4,2,6,7,1]=>[3,5,4,2,6,7,1]=>[3,5,4,2,6,1] [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>[4,3,5,2,6,7,1]=>[4,3,5,2,6,1] [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>[3,4,5,2,6,7,1]=>[3,4,5,2,6,1] [.,[[[[.,.],[.,[.,.]]],.],.]]=>[5,4,2,3,6,7,1]=>[2,5,4,3,6,7,1]=>[2,5,4,3,6,1] [.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>[2,4,5,3,6,7,1]=>[2,4,5,3,6,1] [.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>[3,5,2,4,6,7,1]=>[3,5,2,4,6,1] [.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>[2,3,5,4,6,7,1]=>[2,3,5,4,6,1] [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[4,3,2,5,6,7,1]=>[4,3,2,5,6,1] [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[3,4,2,5,6,7,1]=>[3,4,2,5,6,1] [.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>[2,4,3,5,6,7,1]=>[2,4,3,5,6,1] [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,7,1]=>[3,2,4,5,6,1] [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[2,3,4,5,6,7,1]=>[2,3,4,5,6,1] [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>[1,7,6,5,4,3,2]=>[1,6,5,4,3,2] [[.,.],[.,[.,[.,[[.,.],.]]]]]=>[6,7,5,4,3,1,2]=>[1,6,7,5,4,3,2]=>[1,6,5,4,3,2] [[.,.],[.,[.,[[.,.],[.,.]]]]]=>[7,5,6,4,3,1,2]=>[1,5,7,6,4,3,2]=>[1,5,6,4,3,2] [[.,.],[.,[.,[[.,[.,.]],.]]]]=>[6,5,7,4,3,1,2]=>[1,6,5,7,4,3,2]=>[1,6,5,4,3,2] [[.,.],[.,[.,[[[.,.],.],.]]]]=>[5,6,7,4,3,1,2]=>[1,5,6,7,4,3,2]=>[1,5,6,4,3,2] [[.,.],[.,[[.,.],[.,[.,.]]]]]=>[7,6,4,5,3,1,2]=>[1,4,7,6,5,3,2]=>[1,4,6,5,3,2] [[.,.],[.,[[.,.],[[.,.],.]]]]=>[6,7,4,5,3,1,2]=>[1,4,6,7,5,3,2]=>[1,4,6,5,3,2] [[.,.],[.,[[.,[.,.]],[.,.]]]]=>[7,5,4,6,3,1,2]=>[1,5,7,4,6,3,2]=>[1,5,4,6,3,2] [[.,.],[.,[[[.,.],.],[.,.]]]]=>[7,4,5,6,3,1,2]=>[1,4,5,7,6,3,2]=>[1,4,5,6,3,2] [[.,.],[.,[[.,[.,[.,.]]],.]]]=>[6,5,4,7,3,1,2]=>[1,6,5,4,7,3,2]=>[1,6,5,4,3,2] [[.,.],[.,[[.,[[.,.],.]],.]]]=>[5,6,4,7,3,1,2]=>[1,5,6,4,7,3,2]=>[1,5,6,4,3,2] [[.,.],[.,[[[.,.],[.,.]],.]]]=>[6,4,5,7,3,1,2]=>[1,4,6,5,7,3,2]=>[1,4,6,5,3,2] [[.,.],[.,[[[.,[.,.]],.],.]]]=>[5,4,6,7,3,1,2]=>[1,5,4,6,7,3,2]=>[1,5,4,6,3,2] [[.,.],[.,[[[[.,.],.],.],.]]]=>[4,5,6,7,3,1,2]=>[1,4,5,6,7,3,2]=>[1,4,5,6,3,2] [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>[1,3,7,6,5,4,2]=>[1,3,6,5,4,2] [[.,.],[[.,.],[.,[[.,.],.]]]]=>[6,7,5,3,4,1,2]=>[1,3,6,7,5,4,2]=>[1,3,6,5,4,2] [[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>[1,3,5,7,6,4,2]=>[1,3,5,6,4,2] [[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>[1,3,6,5,7,4,2]=>[1,3,6,5,4,2] [[.,.],[[.,.],[[[.,.],.],.]]]=>[5,6,7,3,4,1,2]=>[1,3,5,6,7,4,2]=>[1,3,5,6,4,2] [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[7,6,4,3,5,1,2]=>[1,4,7,6,3,5,2]=>[1,4,6,3,5,2] [[.,.],[[.,[.,.]],[[.,.],.]]]=>[6,7,4,3,5,1,2]=>[1,4,6,7,3,5,2]=>[1,4,6,3,5,2] [[.,.],[[[.,.],.],[.,[.,.]]]]=>[7,6,3,4,5,1,2]=>[1,3,4,7,6,5,2]=>[1,3,4,6,5,2] [[.,.],[[[.,.],.],[[.,.],.]]]=>[6,7,3,4,5,1,2]=>[1,3,4,6,7,5,2]=>[1,3,4,6,5,2] [[.,.],[[.,[.,[.,.]]],[.,.]]]=>[7,5,4,3,6,1,2]=>[1,5,7,4,3,6,2]=>[1,5,4,3,6,2] [[.,.],[[.,[[.,.],.]],[.,.]]]=>[7,4,5,3,6,1,2]=>[1,4,5,7,3,6,2]=>[1,4,5,3,6,2] [[.,.],[[[.,.],[.,.]],[.,.]]]=>[7,5,3,4,6,1,2]=>[1,3,5,7,4,6,2]=>[1,3,5,4,6,2] [[.,.],[[[.,[.,.]],.],[.,.]]]=>[7,4,3,5,6,1,2]=>[1,4,3,7,5,6,2]=>[1,4,3,5,6,2] [[.,.],[[[[.,.],.],.],[.,.]]]=>[7,3,4,5,6,1,2]=>[1,3,4,5,7,6,2]=>[1,3,4,5,6,2] [[.,.],[[.,[.,[.,[.,.]]]],.]]=>[6,5,4,3,7,1,2]=>[1,6,5,4,3,7,2]=>[1,6,5,4,3,2] [[.,.],[[.,[.,[[.,.],.]]],.]]=>[5,6,4,3,7,1,2]=>[1,5,6,4,3,7,2]=>[1,5,6,4,3,2] [[.,.],[[.,[[.,.],[.,.]]],.]]=>[6,4,5,3,7,1,2]=>[1,4,6,5,3,7,2]=>[1,4,6,5,3,2] [[.,.],[[.,[[.,[.,.]],.]],.]]=>[5,4,6,3,7,1,2]=>[1,5,4,6,3,7,2]=>[1,5,4,6,3,2] [[.,.],[[.,[[[.,.],.],.]],.]]=>[4,5,6,3,7,1,2]=>[1,4,5,6,3,7,2]=>[1,4,5,6,3,2] [[.,.],[[[.,.],[.,[.,.]]],.]]=>[6,5,3,4,7,1,2]=>[1,3,6,5,4,7,2]=>[1,3,6,5,4,2] [[.,.],[[[.,.],[[.,.],.]],.]]=>[5,6,3,4,7,1,2]=>[1,3,5,6,4,7,2]=>[1,3,5,6,4,2] [[.,.],[[[.,[.,.]],[.,.]],.]]=>[6,4,3,5,7,1,2]=>[1,4,6,3,5,7,2]=>[1,4,6,3,5,2] [[.,.],[[[[.,.],.],[.,.]],.]]=>[6,3,4,5,7,1,2]=>[1,3,4,6,5,7,2]=>[1,3,4,6,5,2] [[.,.],[[[.,[.,[.,.]]],.],.]]=>[5,4,3,6,7,1,2]=>[1,5,4,3,6,7,2]=>[1,5,4,3,6,2] [[.,.],[[[.,[[.,.],.]],.],.]]=>[4,5,3,6,7,1,2]=>[1,4,5,3,6,7,2]=>[1,4,5,3,6,2] [[.,.],[[[[.,.],[.,.]],.],.]]=>[5,3,4,6,7,1,2]=>[1,3,5,4,6,7,2]=>[1,3,5,4,6,2] [[.,.],[[[[.,[.,.]],.],.],.]]=>[4,3,5,6,7,1,2]=>[1,4,3,5,6,7,2]=>[1,4,3,5,6,2] [[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>[1,3,4,5,6,7,2]=>[1,3,4,5,6,2] [[.,[.,.]],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,2,1,3]=>[2,7,6,5,4,1,3]=>[2,6,5,4,1,3] [[.,[.,.]],[.,[.,[[.,.],.]]]]=>[6,7,5,4,2,1,3]=>[2,6,7,5,4,1,3]=>[2,6,5,4,1,3] [[.,[.,.]],[.,[[.,.],[.,.]]]]=>[7,5,6,4,2,1,3]=>[2,5,7,6,4,1,3]=>[2,5,6,4,1,3] [[.,[.,.]],[.,[[.,[.,.]],.]]]=>[6,5,7,4,2,1,3]=>[2,6,5,7,4,1,3]=>[2,6,5,4,1,3] [[.,[.,.]],[.,[[[.,.],.],.]]]=>[5,6,7,4,2,1,3]=>[2,5,6,7,4,1,3]=>[2,5,6,4,1,3] [[.,[.,.]],[[.,.],[.,[.,.]]]]=>[7,6,4,5,2,1,3]=>[2,4,7,6,5,1,3]=>[2,4,6,5,1,3] [[.,[.,.]],[[.,.],[[.,.],.]]]=>[6,7,4,5,2,1,3]=>[2,4,6,7,5,1,3]=>[2,4,6,5,1,3] [[.,[.,.]],[[.,[.,.]],[.,.]]]=>[7,5,4,6,2,1,3]=>[2,5,7,4,6,1,3]=>[2,5,4,6,1,3] [[.,[.,.]],[[[.,.],.],[.,.]]]=>[7,4,5,6,2,1,3]=>[2,4,5,7,6,1,3]=>[2,4,5,6,1,3] [[.,[.,.]],[[.,[.,[.,.]]],.]]=>[6,5,4,7,2,1,3]=>[2,6,5,4,7,1,3]=>[2,6,5,4,1,3] [[.,[.,.]],[[.,[[.,.],.]],.]]=>[5,6,4,7,2,1,3]=>[2,5,6,4,7,1,3]=>[2,5,6,4,1,3] [[.,[.,.]],[[[.,.],[.,.]],.]]=>[6,4,5,7,2,1,3]=>[2,4,6,5,7,1,3]=>[2,4,6,5,1,3] [[.,[.,.]],[[[.,[.,.]],.],.]]=>[5,4,6,7,2,1,3]=>[2,5,4,6,7,1,3]=>[2,5,4,6,1,3] [[.,[.,.]],[[[[.,.],.],.],.]]=>[4,5,6,7,2,1,3]=>[2,4,5,6,7,1,3]=>[2,4,5,6,1,3] [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>[1,2,7,6,5,4,3]=>[1,2,6,5,4,3] [[[.,.],.],[.,[.,[[.,.],.]]]]=>[6,7,5,4,1,2,3]=>[1,2,6,7,5,4,3]=>[1,2,6,5,4,3] [[[.,.],.],[.,[[.,.],[.,.]]]]=>[7,5,6,4,1,2,3]=>[1,2,5,7,6,4,3]=>[1,2,5,6,4,3] [[[.,.],.],[.,[[.,[.,.]],.]]]=>[6,5,7,4,1,2,3]=>[1,2,6,5,7,4,3]=>[1,2,6,5,4,3] [[[.,.],.],[.,[[[.,.],.],.]]]=>[5,6,7,4,1,2,3]=>[1,2,5,6,7,4,3]=>[1,2,5,6,4,3] [[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>[1,2,4,7,6,5,3]=>[1,2,4,6,5,3] [[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>[1,2,4,6,7,5,3]=>[1,2,4,6,5,3] [[[.,.],.],[[.,[.,.]],[.,.]]]=>[7,5,4,6,1,2,3]=>[1,2,5,7,4,6,3]=>[1,2,5,4,6,3] [[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>[1,2,4,5,7,6,3]=>[1,2,4,5,6,3] [[[.,.],.],[[.,[.,[.,.]]],.]]=>[6,5,4,7,1,2,3]=>[1,2,6,5,4,7,3]=>[1,2,6,5,4,3] [[[.,.],.],[[.,[[.,.],.]],.]]=>[5,6,4,7,1,2,3]=>[1,2,5,6,4,7,3]=>[1,2,5,6,4,3] [[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>[1,2,4,6,5,7,3]=>[1,2,4,6,5,3] [[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>[1,2,5,4,6,7,3]=>[1,2,5,4,6,3] [[[.,.],.],[[[[.,.],.],.],.]]=>[4,5,6,7,1,2,3]=>[1,2,4,5,6,7,3]=>[1,2,4,5,6,3] [[.,[.,[.,.]]],[.,[.,[.,.]]]]=>[7,6,5,3,2,1,4]=>[3,7,6,5,2,1,4]=>[3,6,5,2,1,4] [[.,[.,[.,.]]],[.,[[.,.],.]]]=>[6,7,5,3,2,1,4]=>[3,6,7,5,2,1,4]=>[3,6,5,2,1,4] [[.,[.,[.,.]]],[[.,.],[.,.]]]=>[7,5,6,3,2,1,4]=>[3,5,7,6,2,1,4]=>[3,5,6,2,1,4] [[.,[.,[.,.]]],[[.,[.,.]],.]]=>[6,5,7,3,2,1,4]=>[3,6,5,7,2,1,4]=>[3,6,5,2,1,4] [[.,[.,[.,.]]],[[[.,.],.],.]]=>[5,6,7,3,2,1,4]=>[3,5,6,7,2,1,4]=>[3,5,6,2,1,4] [[.,[[.,.],.]],[.,[.,[.,.]]]]=>[7,6,5,2,3,1,4]=>[2,3,7,6,5,1,4]=>[2,3,6,5,1,4] [[.,[[.,.],.]],[.,[[.,.],.]]]=>[6,7,5,2,3,1,4]=>[2,3,6,7,5,1,4]=>[2,3,6,5,1,4] [[.,[[.,.],.]],[[.,.],[.,.]]]=>[7,5,6,2,3,1,4]=>[2,3,5,7,6,1,4]=>[2,3,5,6,1,4] [[.,[[.,.],.]],[[.,[.,.]],.]]=>[6,5,7,2,3,1,4]=>[2,3,6,5,7,1,4]=>[2,3,6,5,1,4] [[.,[[.,.],.]],[[[.,.],.],.]]=>[5,6,7,2,3,1,4]=>[2,3,5,6,7,1,4]=>[2,3,5,6,1,4] [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[7,6,5,3,1,2,4]=>[1,3,7,6,5,2,4]=>[1,3,6,5,2,4] [[[.,.],[.,.]],[.,[[.,.],.]]]=>[6,7,5,3,1,2,4]=>[1,3,6,7,5,2,4]=>[1,3,6,5,2,4] [[[.,.],[.,.]],[[.,.],[.,.]]]=>[7,5,6,3,1,2,4]=>[1,3,5,7,6,2,4]=>[1,3,5,6,2,4] [[[.,.],[.,.]],[[.,[.,.]],.]]=>[6,5,7,3,1,2,4]=>[1,3,6,5,7,2,4]=>[1,3,6,5,2,4] [[[.,.],[.,.]],[[[.,.],.],.]]=>[5,6,7,3,1,2,4]=>[1,3,5,6,7,2,4]=>[1,3,5,6,2,4] [[[.,[.,.]],.],[.,[.,[.,.]]]]=>[7,6,5,2,1,3,4]=>[2,1,7,6,5,3,4]=>[2,1,6,5,3,4] [[[.,[.,.]],.],[.,[[.,.],.]]]=>[6,7,5,2,1,3,4]=>[2,1,6,7,5,3,4]=>[2,1,6,5,3,4] [[[.,[.,.]],.],[[.,.],[.,.]]]=>[7,5,6,2,1,3,4]=>[2,1,5,7,6,3,4]=>[2,1,5,6,3,4] [[[.,[.,.]],.],[[.,[.,.]],.]]=>[6,5,7,2,1,3,4]=>[2,1,6,5,7,3,4]=>[2,1,6,5,3,4] [[[.,[.,.]],.],[[[.,.],.],.]]=>[5,6,7,2,1,3,4]=>[2,1,5,6,7,3,4]=>[2,1,5,6,3,4] [[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>[1,2,3,7,6,5,4]=>[1,2,3,6,5,4] [[[[.,.],.],.],[.,[[.,.],.]]]=>[6,7,5,1,2,3,4]=>[1,2,3,6,7,5,4]=>[1,2,3,6,5,4] [[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>[1,2,3,5,7,6,4]=>[1,2,3,5,6,4] [[[[.,.],.],.],[[.,[.,.]],.]]=>[6,5,7,1,2,3,4]=>[1,2,3,6,5,7,4]=>[1,2,3,6,5,4] [[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>[1,2,3,5,6,7,4]=>[1,2,3,5,6,4] [[.,[.,[.,[.,.]]]],[.,[.,.]]]=>[7,6,4,3,2,1,5]=>[4,7,6,3,2,1,5]=>[4,6,3,2,1,5] [[.,[.,[.,[.,.]]]],[[.,.],.]]=>[6,7,4,3,2,1,5]=>[4,6,7,3,2,1,5]=>[4,6,3,2,1,5] [[.,[.,[[.,.],.]]],[.,[.,.]]]=>[7,6,3,4,2,1,5]=>[3,4,7,6,2,1,5]=>[3,4,6,2,1,5] [[.,[.,[[.,.],.]]],[[.,.],.]]=>[6,7,3,4,2,1,5]=>[3,4,6,7,2,1,5]=>[3,4,6,2,1,5] [[.,[[.,.],[.,.]]],[.,[.,.]]]=>[7,6,4,2,3,1,5]=>[2,4,7,6,3,1,5]=>[2,4,6,3,1,5] [[.,[[.,.],[.,.]]],[[.,.],.]]=>[6,7,4,2,3,1,5]=>[2,4,6,7,3,1,5]=>[2,4,6,3,1,5] [[.,[[.,[.,.]],.]],[.,[.,.]]]=>[7,6,3,2,4,1,5]=>[3,2,7,6,4,1,5]=>[3,2,6,4,1,5] [[.,[[.,[.,.]],.]],[[.,.],.]]=>[6,7,3,2,4,1,5]=>[3,2,6,7,4,1,5]=>[3,2,6,4,1,5] [[.,[[[.,.],.],.]],[.,[.,.]]]=>[7,6,2,3,4,1,5]=>[2,3,4,7,6,1,5]=>[2,3,4,6,1,5] [[.,[[[.,.],.],.]],[[.,.],.]]=>[6,7,2,3,4,1,5]=>[2,3,4,6,7,1,5]=>[2,3,4,6,1,5] [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[7,6,4,3,1,2,5]=>[1,4,7,6,3,2,5]=>[1,4,6,3,2,5] [[[.,.],[.,[.,.]]],[[.,.],.]]=>[6,7,4,3,1,2,5]=>[1,4,6,7,3,2,5]=>[1,4,6,3,2,5] [[[.,.],[[.,.],.]],[.,[.,.]]]=>[7,6,3,4,1,2,5]=>[1,3,4,7,6,2,5]=>[1,3,4,6,2,5] [[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>[1,3,4,6,7,2,5]=>[1,3,4,6,2,5] [[[.,[.,.]],[.,.]],[.,[.,.]]]=>[7,6,4,2,1,3,5]=>[2,4,7,6,1,3,5]=>[2,4,6,1,3,5] [[[.,[.,.]],[.,.]],[[.,.],.]]=>[6,7,4,2,1,3,5]=>[2,4,6,7,1,3,5]=>[2,4,6,1,3,5] [[[[.,.],.],[.,.]],[.,[.,.]]]=>[7,6,4,1,2,3,5]=>[1,2,4,7,6,3,5]=>[1,2,4,6,3,5] [[[[.,.],.],[.,.]],[[.,.],.]]=>[6,7,4,1,2,3,5]=>[1,2,4,6,7,3,5]=>[1,2,4,6,3,5] [[[.,[.,[.,.]]],.],[.,[.,.]]]=>[7,6,3,2,1,4,5]=>[3,2,7,6,1,4,5]=>[3,2,6,1,4,5] [[[.,[.,[.,.]]],.],[[.,.],.]]=>[6,7,3,2,1,4,5]=>[3,2,6,7,1,4,5]=>[3,2,6,1,4,5] [[[.,[[.,.],.]],.],[.,[.,.]]]=>[7,6,2,3,1,4,5]=>[2,3,1,7,6,4,5]=>[2,3,1,6,4,5] [[[.,[[.,.],.]],.],[[.,.],.]]=>[6,7,2,3,1,4,5]=>[2,3,1,6,7,4,5]=>[2,3,1,6,4,5] [[[[.,.],[.,.]],.],[.,[.,.]]]=>[7,6,3,1,2,4,5]=>[1,3,2,7,6,4,5]=>[1,3,2,6,4,5] [[[[.,.],[.,.]],.],[[.,.],.]]=>[6,7,3,1,2,4,5]=>[1,3,2,6,7,4,5]=>[1,3,2,6,4,5] [[[[.,[.,.]],.],.],[.,[.,.]]]=>[7,6,2,1,3,4,5]=>[2,1,3,7,6,4,5]=>[2,1,3,6,4,5] [[[[.,[.,.]],.],.],[[.,.],.]]=>[6,7,2,1,3,4,5]=>[2,1,3,6,7,4,5]=>[2,1,3,6,4,5] [[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>[1,2,3,4,7,6,5]=>[1,2,3,4,6,5] [[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>[1,2,3,4,6,7,5]=>[1,2,3,4,6,5] [[.,[.,[.,[.,[.,.]]]]],[.,.]]=>[7,5,4,3,2,1,6]=>[5,7,4,3,2,1,6]=>[5,4,3,2,1,6] [[.,[.,[.,[[.,.],.]]]],[.,.]]=>[7,4,5,3,2,1,6]=>[4,5,7,3,2,1,6]=>[4,5,3,2,1,6] [[.,[.,[[.,.],[.,.]]]],[.,.]]=>[7,5,3,4,2,1,6]=>[3,5,7,4,2,1,6]=>[3,5,4,2,1,6] [[.,[.,[[.,[.,.]],.]]],[.,.]]=>[7,4,3,5,2,1,6]=>[4,3,7,5,2,1,6]=>[4,3,5,2,1,6] [[.,[.,[[[.,.],.],.]]],[.,.]]=>[7,3,4,5,2,1,6]=>[3,4,5,7,2,1,6]=>[3,4,5,2,1,6] [[.,[[.,.],[.,[.,.]]]],[.,.]]=>[7,5,4,2,3,1,6]=>[2,5,7,4,3,1,6]=>[2,5,4,3,1,6] [[.,[[.,.],[[.,.],.]]],[.,.]]=>[7,4,5,2,3,1,6]=>[2,4,5,7,3,1,6]=>[2,4,5,3,1,6] [[.,[[.,[.,.]],[.,.]]],[.,.]]=>[7,5,3,2,4,1,6]=>[3,5,7,2,4,1,6]=>[3,5,2,4,1,6] [[.,[[[.,.],.],[.,.]]],[.,.]]=>[7,5,2,3,4,1,6]=>[2,3,5,7,4,1,6]=>[2,3,5,4,1,6] [[.,[[.,[.,[.,.]]],.]],[.,.]]=>[7,4,3,2,5,1,6]=>[4,3,7,2,5,1,6]=>[4,3,2,5,1,6] [[.,[[.,[[.,.],.]],.]],[.,.]]=>[7,3,4,2,5,1,6]=>[3,4,2,7,5,1,6]=>[3,4,2,5,1,6] [[.,[[[.,.],[.,.]],.]],[.,.]]=>[7,4,2,3,5,1,6]=>[2,4,3,7,5,1,6]=>[2,4,3,5,1,6] [[.,[[[.,[.,.]],.],.]],[.,.]]=>[7,3,2,4,5,1,6]=>[3,2,4,7,5,1,6]=>[3,2,4,5,1,6] [[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>[2,3,4,5,7,1,6]=>[2,3,4,5,1,6] [[[.,.],[.,[.,[.,.]]]],[.,.]]=>[7,5,4,3,1,2,6]=>[1,5,7,4,3,2,6]=>[1,5,4,3,2,6] [[[.,.],[.,[[.,.],.]]],[.,.]]=>[7,4,5,3,1,2,6]=>[1,4,5,7,3,2,6]=>[1,4,5,3,2,6] [[[.,.],[[.,.],[.,.]]],[.,.]]=>[7,5,3,4,1,2,6]=>[1,3,5,7,4,2,6]=>[1,3,5,4,2,6] [[[.,.],[[.,[.,.]],.]],[.,.]]=>[7,4,3,5,1,2,6]=>[1,4,3,7,5,2,6]=>[1,4,3,5,2,6] [[[.,.],[[[.,.],.],.]],[.,.]]=>[7,3,4,5,1,2,6]=>[1,3,4,5,7,2,6]=>[1,3,4,5,2,6] [[[.,[.,.]],[.,[.,.]]],[.,.]]=>[7,5,4,2,1,3,6]=>[2,5,7,4,1,3,6]=>[2,5,4,1,3,6] [[[.,[.,.]],[[.,.],.]],[.,.]]=>[7,4,5,2,1,3,6]=>[2,4,5,7,1,3,6]=>[2,4,5,1,3,6] [[[[.,.],.],[.,[.,.]]],[.,.]]=>[7,5,4,1,2,3,6]=>[1,2,5,7,4,3,6]=>[1,2,5,4,3,6] [[[[.,.],.],[[.,.],.]],[.,.]]=>[7,4,5,1,2,3,6]=>[1,2,4,5,7,3,6]=>[1,2,4,5,3,6] [[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>[3,5,7,2,1,4,6]=>[3,5,2,1,4,6] [[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>[2,3,5,7,1,4,6]=>[2,3,5,1,4,6] [[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>[1,3,5,7,2,4,6]=>[1,3,5,2,4,6] [[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>[2,1,5,7,3,4,6]=>[2,1,5,3,4,6] [[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>[1,2,3,5,7,4,6]=>[1,2,3,5,4,6] [[[.,[.,[.,[.,.]]]],.],[.,.]]=>[7,4,3,2,1,5,6]=>[4,3,7,2,1,5,6]=>[4,3,2,1,5,6] [[[.,[.,[[.,.],.]]],.],[.,.]]=>[7,3,4,2,1,5,6]=>[3,4,2,7,1,5,6]=>[3,4,2,1,5,6] [[[.,[[.,.],[.,.]]],.],[.,.]]=>[7,4,2,3,1,5,6]=>[2,4,3,7,1,5,6]=>[2,4,3,1,5,6] [[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>[3,2,4,7,1,5,6]=>[3,2,4,1,5,6] [[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>[2,3,4,1,7,5,6]=>[2,3,4,1,5,6] [[[[.,.],[.,[.,.]]],.],[.,.]]=>[7,4,3,1,2,5,6]=>[1,4,3,7,2,5,6]=>[1,4,3,2,5,6] [[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>[1,3,4,2,7,5,6]=>[1,3,4,2,5,6] [[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>[2,4,1,7,3,5,6]=>[2,4,1,3,5,6] [[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>[1,2,4,3,7,5,6]=>[1,2,4,3,5,6] [[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>[3,2,1,7,4,5,6]=>[3,2,1,4,5,6] [[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>[2,3,1,4,7,5,6]=>[2,3,1,4,5,6] [[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>[1,3,2,4,7,5,6]=>[1,3,2,4,5,6] [[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>[2,1,3,4,7,5,6]=>[2,1,3,4,5,6] [[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>[1,2,3,4,5,7,6]=>[1,2,3,4,5,6] [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1,7]=>[6,5,4,3,2,1] [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>[5,6,4,3,2,1,7]=>[5,6,4,3,2,1] [[.,[.,[.,[[.,.],[.,.]]]]],.]=>[6,4,5,3,2,1,7]=>[4,6,5,3,2,1,7]=>[4,6,5,3,2,1] [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>[5,4,6,3,2,1,7]=>[5,4,6,3,2,1] [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>[4,5,6,3,2,1,7]=>[4,5,6,3,2,1] [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>[3,6,5,4,2,1,7]=>[3,6,5,4,2,1] [[.,[.,[[.,.],[[.,.],.]]]],.]=>[5,6,3,4,2,1,7]=>[3,5,6,4,2,1,7]=>[3,5,6,4,2,1] [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>[4,6,3,5,2,1,7]=>[4,6,3,5,2,1] [[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>[3,4,6,5,2,1,7]=>[3,4,6,5,2,1] [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>[5,4,3,6,2,1,7]=>[5,4,3,6,2,1] [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>[4,5,3,6,2,1,7]=>[4,5,3,6,2,1] [[.,[.,[[[.,.],[.,.]],.]]],.]=>[5,3,4,6,2,1,7]=>[3,5,4,6,2,1,7]=>[3,5,4,6,2,1] [[.,[.,[[[.,[.,.]],.],.]]],.]=>[4,3,5,6,2,1,7]=>[4,3,5,6,2,1,7]=>[4,3,5,6,2,1] [[.,[.,[[[[.,.],.],.],.]]],.]=>[3,4,5,6,2,1,7]=>[3,4,5,6,2,1,7]=>[3,4,5,6,2,1] [[.,[[.,.],[.,[.,[.,.]]]]],.]=>[6,5,4,2,3,1,7]=>[2,6,5,4,3,1,7]=>[2,6,5,4,3,1] [[.,[[.,.],[.,[[.,.],.]]]],.]=>[5,6,4,2,3,1,7]=>[2,5,6,4,3,1,7]=>[2,5,6,4,3,1] [[.,[[.,.],[[.,.],[.,.]]]],.]=>[6,4,5,2,3,1,7]=>[2,4,6,5,3,1,7]=>[2,4,6,5,3,1] [[.,[[.,.],[[.,[.,.]],.]]],.]=>[5,4,6,2,3,1,7]=>[2,5,4,6,3,1,7]=>[2,5,4,6,3,1] [[.,[[.,.],[[[.,.],.],.]]],.]=>[4,5,6,2,3,1,7]=>[2,4,5,6,3,1,7]=>[2,4,5,6,3,1] [[.,[[.,[.,.]],[.,[.,.]]]],.]=>[6,5,3,2,4,1,7]=>[3,6,5,2,4,1,7]=>[3,6,5,2,4,1] [[.,[[.,[.,.]],[[.,.],.]]],.]=>[5,6,3,2,4,1,7]=>[3,5,6,2,4,1,7]=>[3,5,6,2,4,1] [[.,[[[.,.],.],[.,[.,.]]]],.]=>[6,5,2,3,4,1,7]=>[2,3,6,5,4,1,7]=>[2,3,6,5,4,1] [[.,[[[.,.],.],[[.,.],.]]],.]=>[5,6,2,3,4,1,7]=>[2,3,5,6,4,1,7]=>[2,3,5,6,4,1] [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>[4,6,3,2,5,1,7]=>[4,6,3,2,5,1] [[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>[3,4,6,2,5,1,7]=>[3,4,6,2,5,1] [[.,[[[.,.],[.,.]],[.,.]]],.]=>[6,4,2,3,5,1,7]=>[2,4,6,3,5,1,7]=>[2,4,6,3,5,1] [[.,[[[.,[.,.]],.],[.,.]]],.]=>[6,3,2,4,5,1,7]=>[3,2,6,4,5,1,7]=>[3,2,6,4,5,1] [[.,[[[[.,.],.],.],[.,.]]],.]=>[6,2,3,4,5,1,7]=>[2,3,4,6,5,1,7]=>[2,3,4,6,5,1] [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>[5,4,3,2,6,1,7]=>[5,4,3,2,6,1] [[.,[[.,[.,[[.,.],.]]],.]],.]=>[4,5,3,2,6,1,7]=>[4,5,3,2,6,1,7]=>[4,5,3,2,6,1] [[.,[[.,[[.,.],[.,.]]],.]],.]=>[5,3,4,2,6,1,7]=>[3,5,4,2,6,1,7]=>[3,5,4,2,6,1] [[.,[[.,[[.,[.,.]],.]],.]],.]=>[4,3,5,2,6,1,7]=>[4,3,5,2,6,1,7]=>[4,3,5,2,6,1] [[.,[[.,[[[.,.],.],.]],.]],.]=>[3,4,5,2,6,1,7]=>[3,4,5,2,6,1,7]=>[3,4,5,2,6,1] [[.,[[[.,.],[.,[.,.]]],.]],.]=>[5,4,2,3,6,1,7]=>[2,5,4,3,6,1,7]=>[2,5,4,3,6,1] [[.,[[[.,.],[[.,.],.]],.]],.]=>[4,5,2,3,6,1,7]=>[2,4,5,3,6,1,7]=>[2,4,5,3,6,1] [[.,[[[.,[.,.]],[.,.]],.]],.]=>[5,3,2,4,6,1,7]=>[3,5,2,4,6,1,7]=>[3,5,2,4,6,1] [[.,[[[[.,.],.],[.,.]],.]],.]=>[5,2,3,4,6,1,7]=>[2,3,5,4,6,1,7]=>[2,3,5,4,6,1] [[.,[[[.,[.,[.,.]]],.],.]],.]=>[4,3,2,5,6,1,7]=>[4,3,2,5,6,1,7]=>[4,3,2,5,6,1] [[.,[[[.,[[.,.],.]],.],.]],.]=>[3,4,2,5,6,1,7]=>[3,4,2,5,6,1,7]=>[3,4,2,5,6,1] [[.,[[[[.,.],[.,.]],.],.]],.]=>[4,2,3,5,6,1,7]=>[2,4,3,5,6,1,7]=>[2,4,3,5,6,1] [[.,[[[[.,[.,.]],.],.],.]],.]=>[3,2,4,5,6,1,7]=>[3,2,4,5,6,1,7]=>[3,2,4,5,6,1] [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>[2,3,4,5,6,1,7]=>[2,3,4,5,6,1] [[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>[1,6,5,4,3,2,7]=>[1,6,5,4,3,2] [[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>[1,5,6,4,3,2,7]=>[1,5,6,4,3,2] [[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>[1,4,6,5,3,2,7]=>[1,4,6,5,3,2] [[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>[1,5,4,6,3,2,7]=>[1,5,4,6,3,2] [[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>[1,4,5,6,3,2,7]=>[1,4,5,6,3,2] [[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>[1,3,6,5,4,2,7]=>[1,3,6,5,4,2] [[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>[1,3,5,6,4,2,7]=>[1,3,5,6,4,2] [[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>[1,4,6,3,5,2,7]=>[1,4,6,3,5,2] [[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>[1,3,4,6,5,2,7]=>[1,3,4,6,5,2] [[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>[1,5,4,3,6,2,7]=>[1,5,4,3,6,2] [[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>[1,4,5,3,6,2,7]=>[1,4,5,3,6,2] [[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>[1,3,5,4,6,2,7]=>[1,3,5,4,6,2] [[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>[1,4,3,5,6,2,7]=>[1,4,3,5,6,2] [[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>[1,3,4,5,6,2,7]=>[1,3,4,5,6,2] [[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>[2,6,5,4,1,3,7]=>[2,6,5,4,1,3] [[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>[2,5,6,4,1,3,7]=>[2,5,6,4,1,3] [[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>[2,4,6,5,1,3,7]=>[2,4,6,5,1,3] [[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>[2,5,4,6,1,3,7]=>[2,5,4,6,1,3] [[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>[2,4,5,6,1,3,7]=>[2,4,5,6,1,3] [[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>[1,2,6,5,4,3,7]=>[1,2,6,5,4,3] [[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>[1,2,5,6,4,3,7]=>[1,2,5,6,4,3] [[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>[1,2,4,6,5,3,7]=>[1,2,4,6,5,3] [[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>[1,2,5,4,6,3,7]=>[1,2,5,4,6,3] [[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>[1,2,4,5,6,3,7]=>[1,2,4,5,6,3] [[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>[3,6,5,2,1,4,7]=>[3,6,5,2,1,4] [[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>[3,5,6,2,1,4,7]=>[3,5,6,2,1,4] [[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>[2,3,6,5,1,4,7]=>[2,3,6,5,1,4] [[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>[2,3,5,6,1,4,7]=>[2,3,5,6,1,4] [[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>[1,3,6,5,2,4,7]=>[1,3,6,5,2,4] [[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>[1,3,5,6,2,4,7]=>[1,3,5,6,2,4] [[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>[2,1,6,5,3,4,7]=>[2,1,6,5,3,4] [[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>[2,1,5,6,3,4,7]=>[2,1,5,6,3,4] [[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>[1,2,3,6,5,4,7]=>[1,2,3,6,5,4] [[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>[1,2,3,5,6,4,7]=>[1,2,3,5,6,4] [[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>[4,6,3,2,1,5,7]=>[4,6,3,2,1,5] [[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>[3,4,6,2,1,5,7]=>[3,4,6,2,1,5] [[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>[2,4,6,3,1,5,7]=>[2,4,6,3,1,5] [[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>[3,2,6,4,1,5,7]=>[3,2,6,4,1,5] [[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>[2,3,4,6,1,5,7]=>[2,3,4,6,1,5] [[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>[1,4,6,3,2,5,7]=>[1,4,6,3,2,5] [[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>[1,3,4,6,2,5,7]=>[1,3,4,6,2,5] [[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>[2,4,6,1,3,5,7]=>[2,4,6,1,3,5] [[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>[1,2,4,6,3,5,7]=>[1,2,4,6,3,5] [[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>[3,2,6,1,4,5,7]=>[3,2,6,1,4,5] [[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>[2,3,1,6,4,5,7]=>[2,3,1,6,4,5] [[[[[.,.],[.,.]],.],[.,.]],.]=>[6,3,1,2,4,5,7]=>[1,3,2,6,4,5,7]=>[1,3,2,6,4,5] [[[[[.,[.,.]],.],.],[.,.]],.]=>[6,2,1,3,4,5,7]=>[2,1,3,6,4,5,7]=>[2,1,3,6,4,5] [[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>[1,2,3,4,6,5,7]=>[1,2,3,4,6,5] [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6,7]=>[5,4,3,2,1,6] [[[.,[.,[.,[[.,.],.]]]],.],.]=>[4,5,3,2,1,6,7]=>[4,5,3,2,1,6,7]=>[4,5,3,2,1,6] [[[.,[.,[[.,.],[.,.]]]],.],.]=>[5,3,4,2,1,6,7]=>[3,5,4,2,1,6,7]=>[3,5,4,2,1,6] [[[.,[.,[[.,[.,.]],.]]],.],.]=>[4,3,5,2,1,6,7]=>[4,3,5,2,1,6,7]=>[4,3,5,2,1,6] [[[.,[.,[[[.,.],.],.]]],.],.]=>[3,4,5,2,1,6,7]=>[3,4,5,2,1,6,7]=>[3,4,5,2,1,6] [[[.,[[.,.],[.,[.,.]]]],.],.]=>[5,4,2,3,1,6,7]=>[2,5,4,3,1,6,7]=>[2,5,4,3,1,6] [[[.,[[.,.],[[.,.],.]]],.],.]=>[4,5,2,3,1,6,7]=>[2,4,5,3,1,6,7]=>[2,4,5,3,1,6] [[[.,[[.,[.,.]],[.,.]]],.],.]=>[5,3,2,4,1,6,7]=>[3,5,2,4,1,6,7]=>[3,5,2,4,1,6] [[[.,[[[.,.],.],[.,.]]],.],.]=>[5,2,3,4,1,6,7]=>[2,3,5,4,1,6,7]=>[2,3,5,4,1,6] [[[.,[[.,[.,[.,.]]],.]],.],.]=>[4,3,2,5,1,6,7]=>[4,3,2,5,1,6,7]=>[4,3,2,5,1,6] [[[.,[[.,[[.,.],.]],.]],.],.]=>[3,4,2,5,1,6,7]=>[3,4,2,5,1,6,7]=>[3,4,2,5,1,6] [[[.,[[[.,.],[.,.]],.]],.],.]=>[4,2,3,5,1,6,7]=>[2,4,3,5,1,6,7]=>[2,4,3,5,1,6] [[[.,[[[.,[.,.]],.],.]],.],.]=>[3,2,4,5,1,6,7]=>[3,2,4,5,1,6,7]=>[3,2,4,5,1,6] [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>[2,3,4,5,1,6,7]=>[2,3,4,5,1,6] [[[[.,.],[.,[.,[.,.]]]],.],.]=>[5,4,3,1,2,6,7]=>[1,5,4,3,2,6,7]=>[1,5,4,3,2,6] [[[[.,.],[.,[[.,.],.]]],.],.]=>[4,5,3,1,2,6,7]=>[1,4,5,3,2,6,7]=>[1,4,5,3,2,6] [[[[.,.],[[.,.],[.,.]]],.],.]=>[5,3,4,1,2,6,7]=>[1,3,5,4,2,6,7]=>[1,3,5,4,2,6] [[[[.,.],[[.,[.,.]],.]],.],.]=>[4,3,5,1,2,6,7]=>[1,4,3,5,2,6,7]=>[1,4,3,5,2,6] [[[[.,.],[[[.,.],.],.]],.],.]=>[3,4,5,1,2,6,7]=>[1,3,4,5,2,6,7]=>[1,3,4,5,2,6] [[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>[2,5,4,1,3,6,7]=>[2,5,4,1,3,6] [[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>[2,4,5,1,3,6,7]=>[2,4,5,1,3,6] [[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>[1,2,5,4,3,6,7]=>[1,2,5,4,3,6] [[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>[1,2,4,5,3,6,7]=>[1,2,4,5,3,6] [[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>[3,5,2,1,4,6,7]=>[3,5,2,1,4,6] [[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>[2,3,5,1,4,6,7]=>[2,3,5,1,4,6] [[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>[1,3,5,2,4,6,7]=>[1,3,5,2,4,6] [[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>[2,1,5,3,4,6,7]=>[2,1,5,3,4,6] [[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>[1,2,3,5,4,6,7]=>[1,2,3,5,4,6] [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6,7]=>[4,3,2,1,5,6] [[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>[3,4,2,1,5,6,7]=>[3,4,2,1,5,6] [[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>[2,4,3,1,5,6,7]=>[2,4,3,1,5,6] [[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>[3,2,4,1,5,6,7]=>[3,2,4,1,5,6] [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>[2,3,4,1,5,6,7]=>[2,3,4,1,5,6] [[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>[1,4,3,2,5,6,7]=>[1,4,3,2,5,6] [[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>[1,3,4,2,5,6,7]=>[1,3,4,2,5,6] [[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>[2,4,1,3,5,6,7]=>[2,4,1,3,5,6] [[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>[1,2,4,3,5,6,7]=>[1,2,4,3,5,6] [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6,7]=>[3,2,1,4,5,6] [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>[2,3,1,4,5,6,7]=>[2,3,1,4,5,6] [[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>[1,3,2,4,5,6,7]=>[1,3,2,4,5,6] [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6,7]=>[2,1,3,4,5,6] [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6,7]=>[1,2,3,4,5,6] [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[7,8,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1]=>[7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>[7,6,8,5,4,3,2,1]=>[7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]=>[6,7,8,5,4,3,2,1]=>[6,7,8,5,4,3,2,1]=>[6,7,5,4,3,2,1] [.,[.,[.,[.,[[.,.],[.,[.,.]]]]]]]=>[8,7,5,6,4,3,2,1]=>[5,8,7,6,4,3,2,1]=>[5,7,6,4,3,2,1] [.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]=>[7,6,5,8,4,3,2,1]=>[7,6,5,8,4,3,2,1]=>[7,6,5,4,3,2,1] [.,[.,[.,[.,[[[.,[.,.]],.],.]]]]]=>[6,5,7,8,4,3,2,1]=>[6,5,7,8,4,3,2,1]=>[6,5,7,4,3,2,1] [.,[.,[.,[.,[[[[.,.],.],.],.]]]]]=>[5,6,7,8,4,3,2,1]=>[5,6,7,8,4,3,2,1]=>[5,6,7,4,3,2,1] [.,[.,[.,[[.,.],[.,[.,[.,.]]]]]]]=>[8,7,6,4,5,3,2,1]=>[4,8,7,6,5,3,2,1]=>[4,7,6,5,3,2,1] [.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]=>[7,6,5,4,8,3,2,1]=>[7,6,5,4,8,3,2,1]=>[7,6,5,4,3,2,1] [.,[.,[.,[[.,[[.,[.,.]],.]],.]]]]=>[6,5,7,4,8,3,2,1]=>[6,5,7,4,8,3,2,1]=>[6,5,7,4,3,2,1] [.,[.,[.,[[[.,.],[.,[.,.]]],.]]]]=>[7,6,4,5,8,3,2,1]=>[4,7,6,5,8,3,2,1]=>[4,7,6,5,3,2,1] [.,[.,[.,[[[[[.,.],.],.],.],.]]]]=>[4,5,6,7,8,3,2,1]=>[4,5,6,7,8,3,2,1]=>[4,5,6,7,3,2,1] [.,[.,[[.,.],[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,3,4,2,1]=>[3,7,6,8,5,4,2,1]=>[3,7,6,5,4,2,1] [.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>[3,5,8,7,6,4,2,1]=>[3,5,7,6,4,2,1] [.,[.,[[.,.],[[[[.,.],.],.],.]]]]=>[5,6,7,8,3,4,2,1]=>[3,5,6,7,8,4,2,1]=>[3,5,6,7,4,2,1] [.,[.,[[[.,.],.],[.,[.,[.,.]]]]]]=>[8,7,6,3,4,5,2,1]=>[3,4,8,7,6,5,2,1]=>[3,4,7,6,5,2,1] [.,[.,[[.,[.,[.,.]]],[.,[.,.]]]]]=>[8,7,5,4,3,6,2,1]=>[5,8,7,4,3,6,2,1]=>[5,7,4,3,6,2,1] [.,[.,[[.,[.,[.,.]]],[[.,.],.]]]]=>[7,8,5,4,3,6,2,1]=>[5,7,8,4,3,6,2,1]=>[5,7,4,3,6,2,1] [.,[.,[[[[.,.],.],.],[.,[.,.]]]]]=>[8,7,3,4,5,6,2,1]=>[3,4,5,8,7,6,2,1]=>[3,4,5,7,6,2,1] [.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]=>[7,6,5,4,3,8,2,1]=>[7,6,5,4,3,8,2,1]=>[7,6,5,4,3,2,1] [.,[.,[[.,[.,[[.,.],[.,.]]]],.]]]=>[7,5,6,4,3,8,2,1]=>[5,7,6,4,3,8,2,1]=>[5,7,6,4,3,2,1] [.,[.,[[.,[[.,[.,.]],[.,.]]],.]]]=>[7,5,4,6,3,8,2,1]=>[5,7,4,6,3,8,2,1]=>[5,7,4,6,3,2,1] [.,[.,[[.,[[[.,[.,.]],.],.]],.]]]=>[5,4,6,7,3,8,2,1]=>[5,4,6,7,3,8,2,1]=>[5,4,6,7,3,2,1] [.,[.,[[[[[.,[.,.]],.],.],.],.]]]=>[4,3,5,6,7,8,2,1]=>[4,3,5,6,7,8,2,1]=>[4,3,5,6,7,2,1] [.,[[.,.],[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,2,3,1]=>[2,7,8,6,5,4,3,1]=>[2,7,6,5,4,3,1] [.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,2,3,1]=>[2,6,8,7,5,4,3,1]=>[2,6,7,5,4,3,1] [.,[[.,.],[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,2,3,1]=>[2,5,6,7,8,4,3,1]=>[2,5,6,7,4,3,1] [.,[[.,.],[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,2,3,1]=>[2,4,8,7,6,5,3,1]=>[2,4,7,6,5,3,1] [.,[[.,.],[[.,.],[[.,.],[.,.]]]]]=>[8,6,7,4,5,2,3,1]=>[2,4,6,8,7,5,3,1]=>[2,4,6,7,5,3,1] [.,[[.,.],[[.,[.,[.,[.,.]]]],.]]]=>[7,6,5,4,8,2,3,1]=>[2,7,6,5,4,8,3,1]=>[2,7,6,5,4,3,1] [.,[[.,[.,.]],[.,[[[.,.],.],.]]]]=>[6,7,8,5,3,2,4,1]=>[3,6,7,8,5,2,4,1]=>[3,6,7,5,2,4,1] [.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>[3,6,8,5,7,2,4,1]=>[3,6,5,7,2,4,1] [.,[[.,[.,.]],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,2,4,1]=>[3,5,6,7,8,2,4,1]=>[3,5,6,7,2,4,1] [.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>[2,3,5,6,8,7,4,1]=>[2,3,5,6,7,4,1] [.,[[[.,.],.],[[[[.,.],.],.],.]]]=>[5,6,7,8,2,3,4,1]=>[2,3,5,6,7,8,4,1]=>[2,3,5,6,7,4,1] [.,[[.,[[.,.],.]],[.,[.,[.,.]]]]]=>[8,7,6,3,4,2,5,1]=>[3,4,8,7,6,2,5,1]=>[3,4,7,6,2,5,1] [.,[[[[.,.],.],.],[.,[.,[.,.]]]]]=>[8,7,6,2,3,4,5,1]=>[2,3,4,8,7,6,5,1]=>[2,3,4,7,6,5,1] [.,[[.,[[[.,.],.],[.,.]]],[.,.]]]=>[8,6,3,4,5,2,7,1]=>[3,4,6,8,5,2,7,1]=>[3,4,6,5,2,7,1] [.,[[.,[[.,[[.,.],.]],.]],[.,.]]]=>[8,4,5,3,6,2,7,1]=>[4,5,3,8,6,2,7,1]=>[4,5,3,6,2,7,1] [.,[[[[.,.],[.,.]],[.,.]],[.,.]]]=>[8,6,4,2,3,5,7,1]=>[2,4,6,8,3,5,7,1]=>[2,4,6,3,5,7,1] [.,[[[[[[.,.],.],.],.],.],[.,.]]]=>[8,2,3,4,5,6,7,1]=>[2,3,4,5,6,8,7,1]=>[2,3,4,5,6,7,1] [.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]=>[7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,8,1]=>[7,6,5,4,3,2,1] [.,[[.,[.,[.,[.,[[.,.],.]]]]],.]]=>[6,7,5,4,3,2,8,1]=>[6,7,5,4,3,2,8,1]=>[6,7,5,4,3,2,1] [.,[[.,[.,[.,[[.,[.,.]],.]]]],.]]=>[6,5,7,4,3,2,8,1]=>[6,5,7,4,3,2,8,1]=>[6,5,7,4,3,2,1] [.,[[.,[[.,[.,[.,[.,.]]]],.]],.]]=>[6,5,4,3,7,2,8,1]=>[6,5,4,3,7,2,8,1]=>[6,5,4,3,7,2,1] [.,[[.,[[.,[[.,[.,.]],.]],.]],.]]=>[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,8,1]=>[5,4,6,3,7,2,1] [.,[[[.,.],[[[.,[.,.]],.],.]],.]]=>[5,4,6,7,2,3,8,1]=>[2,5,4,6,7,3,8,1]=>[2,5,4,6,7,3,1] [.,[[[[.,[.,.]],[.,.]],[.,.]],.]]=>[7,5,3,2,4,6,8,1]=>[3,5,7,2,4,6,8,1]=>[3,5,7,2,4,6,1] [.,[[[[.,[.,[.,[.,.]]]],.],.],.]]=>[5,4,3,2,6,7,8,1]=>[5,4,3,2,6,7,8,1]=>[5,4,3,2,6,7,1] [.,[[[[.,[[[.,.],.],.]],.],.],.]]=>[3,4,5,2,6,7,8,1]=>[3,4,5,2,6,7,8,1]=>[3,4,5,2,6,7,1] [.,[[[[[.,.],[.,[.,.]]],.],.],.]]=>[5,4,2,3,6,7,8,1]=>[2,5,4,3,6,7,8,1]=>[2,5,4,3,6,7,1] [.,[[[[[.,[.,[.,.]]],.],.],.],.]]=>[4,3,2,5,6,7,8,1]=>[4,3,2,5,6,7,8,1]=>[4,3,2,5,6,7,1] [.,[[[[[.,[[.,.],.]],.],.],.],.]]=>[3,4,2,5,6,7,8,1]=>[3,4,2,5,6,7,8,1]=>[3,4,2,5,6,7,1] [.,[[[[[[.,[.,.]],.],.],.],.],.]]=>[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,8,1]=>[3,2,4,5,6,7,1] [.,[[[[[[[.,.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,8,1]=>[2,3,4,5,6,7,1] [[.,.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[8,7,6,5,4,3,1,2]=>[1,8,7,6,5,4,3,2]=>[1,7,6,5,4,3,2] [[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,3,1,2]=>[1,7,8,6,5,4,3,2]=>[1,7,6,5,4,3,2] [[.,.],[.,[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,3,1,2]=>[1,6,8,7,5,4,3,2]=>[1,6,7,5,4,3,2] [[.,.],[.,[.,[.,[[.,[.,.]],.]]]]]=>[7,6,8,5,4,3,1,2]=>[1,7,6,8,5,4,3,2]=>[1,7,6,5,4,3,2] [[.,.],[.,[.,[.,[[[.,.],.],.]]]]]=>[6,7,8,5,4,3,1,2]=>[1,6,7,8,5,4,3,2]=>[1,6,7,5,4,3,2] [[.,.],[.,[.,[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,4,3,1,2]=>[1,5,8,7,6,4,3,2]=>[1,5,7,6,4,3,2] [[.,.],[.,[.,[[.,[.,[.,.]]],.]]]]=>[7,6,5,8,4,3,1,2]=>[1,7,6,5,8,4,3,2]=>[1,7,6,5,4,3,2] [[.,.],[.,[.,[[[[.,.],.],.],.]]]]=>[5,6,7,8,4,3,1,2]=>[1,5,6,7,8,4,3,2]=>[1,5,6,7,4,3,2] [[.,.],[.,[[.,.],[.,[.,[.,.]]]]]]=>[8,7,6,4,5,3,1,2]=>[1,4,8,7,6,5,3,2]=>[1,4,7,6,5,3,2] [[.,.],[.,[[.,.],[.,[[.,.],.]]]]]=>[7,8,6,4,5,3,1,2]=>[1,4,7,8,6,5,3,2]=>[1,4,7,6,5,3,2] [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>[1,3,5,7,8,6,4,2]=>[1,3,5,7,6,4,2] [[.,.],[[.,.],[[[.,[.,.]],.],.]]]=>[6,5,7,8,3,4,1,2]=>[1,3,6,5,7,8,4,2]=>[1,3,6,5,7,4,2] [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>[1,3,5,6,7,8,4,2]=>[1,3,5,6,7,4,2] [[.,.],[[[.,.],.],[.,[.,[.,.]]]]]=>[8,7,6,3,4,5,1,2]=>[1,3,4,8,7,6,5,2]=>[1,3,4,7,6,5,2] [[.,.],[[.,[[.,.],.]],[.,[.,.]]]]=>[8,7,4,5,3,6,1,2]=>[1,4,5,8,7,3,6,2]=>[1,4,5,7,3,6,2] [[.,.],[[[.,[.,.]],.],[.,[.,.]]]]=>[8,7,4,3,5,6,1,2]=>[1,4,3,8,7,5,6,2]=>[1,4,3,7,5,6,2] [[.,.],[[[.,[.,.]],.],[[.,.],.]]]=>[7,8,4,3,5,6,1,2]=>[1,4,3,7,8,5,6,2]=>[1,4,3,7,5,6,2] [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>[1,3,4,5,7,8,6,2]=>[1,3,4,5,7,6,2] [[.,.],[[[[[.,.],.],.],.],[.,.]]]=>[8,3,4,5,6,7,1,2]=>[1,3,4,5,6,8,7,2]=>[1,3,4,5,6,7,2] [[.,.],[[[[.,[.,[.,.]]],.],.],.]]=>[5,4,3,6,7,8,1,2]=>[1,5,4,3,6,7,8,2]=>[1,5,4,3,6,7,2] [[.,.],[[[[.,[[.,.],.]],.],.],.]]=>[4,5,3,6,7,8,1,2]=>[1,4,5,3,6,7,8,2]=>[1,4,5,3,6,7,2] [[.,.],[[[[[.,[.,.]],.],.],.],.]]=>[4,3,5,6,7,8,1,2]=>[1,4,3,5,6,7,8,2]=>[1,4,3,5,6,7,2] [[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>[1,3,4,5,6,7,8,2]=>[1,3,4,5,6,7,2] [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>[2,8,7,6,5,4,1,3]=>[2,7,6,5,4,1,3] [[.,[.,.]],[.,[.,[.,[[.,.],.]]]]]=>[7,8,6,5,4,2,1,3]=>[2,7,8,6,5,4,1,3]=>[2,7,6,5,4,1,3] [[.,[.,.]],[.,[.,[[.,.],[.,.]]]]]=>[8,6,7,5,4,2,1,3]=>[2,6,8,7,5,4,1,3]=>[2,6,7,5,4,1,3] [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>[2,7,6,8,5,4,1,3]=>[2,7,6,5,4,1,3] [[.,[.,.]],[.,[[.,[.,[.,.]]],.]]]=>[7,6,5,8,4,2,1,3]=>[2,7,6,5,8,4,1,3]=>[2,7,6,5,4,1,3] [[.,[.,.]],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,2,1,3]=>[2,5,6,7,8,4,1,3]=>[2,5,6,7,4,1,3] [[.,[.,.]],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,2,1,3]=>[2,4,8,7,6,5,1,3]=>[2,4,7,6,5,1,3] [[.,[.,.]],[[.,.],[[.,[.,.]],.]]]=>[7,6,8,4,5,2,1,3]=>[2,4,7,6,8,5,1,3]=>[2,4,7,6,5,1,3] [[.,[.,.]],[[.,[.,[.,[.,.]]]],.]]=>[7,6,5,4,8,2,1,3]=>[2,7,6,5,4,8,1,3]=>[2,7,6,5,4,1,3] [[.,[.,.]],[[.,[.,[[.,.],.]]],.]]=>[6,7,5,4,8,2,1,3]=>[2,6,7,5,4,8,1,3]=>[2,6,7,5,4,1,3] [[.,[.,.]],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,2,1,3]=>[2,4,5,6,7,8,1,3]=>[2,4,5,6,7,1,3] [[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>[1,2,6,7,8,5,4,3]=>[1,2,6,7,5,4,3] [[[.,.],.],[.,[[[[.,.],.],.],.]]]=>[5,6,7,8,4,1,2,3]=>[1,2,5,6,7,8,4,3]=>[1,2,5,6,7,4,3] [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,1,2,3]=>[1,2,4,8,7,6,5,3]=>[1,2,4,7,6,5,3] [[[.,.],.],[[.,.],[[[.,.],.],.]]]=>[6,7,8,4,5,1,2,3]=>[1,2,4,6,7,8,5,3]=>[1,2,4,6,7,5,3] [[[.,.],.],[[[.,[.,[.,.]]],.],.]]=>[6,5,4,7,8,1,2,3]=>[1,2,6,5,4,7,8,3]=>[1,2,6,5,4,7,3] [[[.,.],.],[[[.,[[.,.],.]],.],.]]=>[5,6,4,7,8,1,2,3]=>[1,2,5,6,4,7,8,3]=>[1,2,5,6,4,7,3] [[[.,.],.],[[[[.,[.,.]],.],.],.]]=>[5,4,6,7,8,1,2,3]=>[1,2,5,4,6,7,8,3]=>[1,2,5,4,6,7,3] [[[.,.],.],[[[[[.,.],.],.],.],.]]=>[4,5,6,7,8,1,2,3]=>[1,2,4,5,6,7,8,3]=>[1,2,4,5,6,7,3] [[.,[.,[.,.]]],[.,[[.,[.,.]],.]]]=>[7,6,8,5,3,2,1,4]=>[3,7,6,8,5,2,1,4]=>[3,7,6,5,2,1,4] [[.,[.,[.,.]]],[.,[[[.,.],.],.]]]=>[6,7,8,5,3,2,1,4]=>[3,6,7,8,5,2,1,4]=>[3,6,7,5,2,1,4] [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>[3,7,6,5,8,2,1,4]=>[3,7,6,5,2,1,4] [[.,[.,[.,.]]],[[[.,[.,.]],.],.]]=>[6,5,7,8,3,2,1,4]=>[3,6,5,7,8,2,1,4]=>[3,6,5,7,2,1,4] [[.,[.,[.,.]]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,2,1,4]=>[3,5,6,7,8,2,1,4]=>[3,5,6,7,2,1,4] [[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>[2,3,5,7,6,8,1,4]=>[2,3,5,7,6,1,4] [[.,[[.,.],.]],[[[[.,.],.],.],.]]=>[5,6,7,8,2,3,1,4]=>[2,3,5,6,7,8,1,4]=>[2,3,5,6,7,1,4] [[[.,.],[.,.]],[[.,[.,.]],[.,.]]]=>[8,6,5,7,3,1,2,4]=>[1,3,6,8,5,7,2,4]=>[1,3,6,5,7,2,4] [[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>[1,3,6,7,5,8,2,4]=>[1,3,6,7,5,2,4] [[[.,.],[.,.]],[[[[.,.],.],.],.]]=>[5,6,7,8,3,1,2,4]=>[1,3,5,6,7,8,2,4]=>[1,3,5,6,7,2,4] [[[.,[.,.]],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,2,1,3,4]=>[2,1,8,7,6,5,3,4]=>[2,1,7,6,5,3,4] [[[.,[.,.]],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,2,1,3,4]=>[2,1,7,8,6,5,3,4]=>[2,1,7,6,5,3,4] [[[.,[.,.]],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,2,1,3,4]=>[2,1,6,7,8,5,3,4]=>[2,1,6,7,5,3,4] [[[.,[.,.]],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,2,1,3,4]=>[2,1,5,7,8,6,3,4]=>[2,1,5,7,6,3,4] [[[.,[.,.]],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,2,1,3,4]=>[2,1,6,8,5,7,3,4]=>[2,1,6,5,7,3,4] [[[.,[.,.]],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,2,1,3,4]=>[2,1,7,6,5,8,3,4]=>[2,1,7,6,5,3,4] [[[.,[.,.]],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,2,1,3,4]=>[2,1,6,7,5,8,3,4]=>[2,1,6,7,5,3,4] [[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>[2,1,6,5,7,8,3,4]=>[2,1,6,5,7,3,4] [[[.,[.,.]],.],[[[[.,.],.],.],.]]=>[5,6,7,8,2,1,3,4]=>[2,1,5,6,7,8,3,4]=>[2,1,5,6,7,3,4] [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>[1,2,3,8,7,6,5,4]=>[1,2,3,7,6,5,4] [[[[.,.],.],.],[.,[.,[[.,.],.]]]]=>[7,8,6,5,1,2,3,4]=>[1,2,3,7,8,6,5,4]=>[1,2,3,7,6,5,4] [[[[.,.],.],.],[.,[[.,.],[.,.]]]]=>[8,6,7,5,1,2,3,4]=>[1,2,3,6,8,7,5,4]=>[1,2,3,6,7,5,4] [[[[.,.],.],.],[.,[[.,[.,.]],.]]]=>[7,6,8,5,1,2,3,4]=>[1,2,3,7,6,8,5,4]=>[1,2,3,7,6,5,4] [[[[.,.],.],.],[.,[[[.,.],.],.]]]=>[6,7,8,5,1,2,3,4]=>[1,2,3,6,7,8,5,4]=>[1,2,3,6,7,5,4] [[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>[1,2,3,5,8,7,6,4]=>[1,2,3,5,7,6,4] [[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>[1,2,3,5,7,8,6,4]=>[1,2,3,5,7,6,4] [[[[.,.],.],.],[[.,[.,.]],[.,.]]]=>[8,6,5,7,1,2,3,4]=>[1,2,3,6,8,5,7,4]=>[1,2,3,6,5,7,4] [[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>[1,2,3,5,6,8,7,4]=>[1,2,3,5,6,7,4] [[[[.,.],.],.],[[.,[.,[.,.]]],.]]=>[7,6,5,8,1,2,3,4]=>[1,2,3,7,6,5,8,4]=>[1,2,3,7,6,5,4] [[[[.,.],.],.],[[.,[[.,.],.]],.]]=>[6,7,5,8,1,2,3,4]=>[1,2,3,6,7,5,8,4]=>[1,2,3,6,7,5,4] [[[[.,.],.],.],[[[.,.],[.,.]],.]]=>[7,5,6,8,1,2,3,4]=>[1,2,3,5,7,6,8,4]=>[1,2,3,5,7,6,4] [[[[.,.],.],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,1,2,3,4]=>[1,2,3,6,5,7,8,4]=>[1,2,3,6,5,7,4] [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>[1,2,3,5,6,7,8,4]=>[1,2,3,5,6,7,4] [[.,[.,[[.,.],.]]],[.,[.,[.,.]]]]=>[8,7,6,3,4,2,1,5]=>[3,4,8,7,6,2,1,5]=>[3,4,7,6,2,1,5] [[.,[[[.,.],.],.]],[.,[.,[.,.]]]]=>[8,7,6,2,3,4,1,5]=>[2,3,4,8,7,6,1,5]=>[2,3,4,7,6,1,5] [[.,[[[.,.],.],.]],[[[.,.],.],.]]=>[6,7,8,2,3,4,1,5]=>[2,3,4,6,7,8,1,5]=>[2,3,4,6,7,1,5] [[[.,.],[[.,.],.]],[.,[.,[.,.]]]]=>[8,7,6,3,4,1,2,5]=>[1,3,4,8,7,6,2,5]=>[1,3,4,7,6,2,5] [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>[2,4,8,7,6,1,3,5]=>[2,4,7,6,1,3,5] [[[[.,.],.],[.,.]],[[[.,.],.],.]]=>[6,7,8,4,1,2,3,5]=>[1,2,4,6,7,8,3,5]=>[1,2,4,6,7,3,5] [[[.,[[.,.],.]],.],[[[.,.],.],.]]=>[6,7,8,2,3,1,4,5]=>[2,3,1,6,7,8,4,5]=>[2,3,1,6,7,4,5] [[[[.,[.,.]],.],.],[[[.,.],.],.]]=>[6,7,8,2,1,3,4,5]=>[2,1,3,6,7,8,4,5]=>[2,1,3,6,7,4,5] [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>[1,2,3,4,8,7,6,5]=>[1,2,3,4,7,6,5] [[[[[.,.],.],.],.],[.,[[.,.],.]]]=>[7,8,6,1,2,3,4,5]=>[1,2,3,4,7,8,6,5]=>[1,2,3,4,7,6,5] [[[[[.,.],.],.],.],[[.,[.,.]],.]]=>[7,6,8,1,2,3,4,5]=>[1,2,3,4,7,6,8,5]=>[1,2,3,4,7,6,5] [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>[1,2,3,4,6,7,8,5]=>[1,2,3,4,6,7,5] [[.,[[.,[.,.]],[.,.]]],[.,[.,.]]]=>[8,7,5,3,2,4,1,6]=>[3,5,8,7,2,4,1,6]=>[3,5,7,2,4,1,6] [[.,[[.,[.,.]],[.,.]]],[[.,.],.]]=>[7,8,5,3,2,4,1,6]=>[3,5,7,8,2,4,1,6]=>[3,5,7,2,4,1,6] [[.,[[[[.,.],.],.],.]],[.,[.,.]]]=>[8,7,2,3,4,5,1,6]=>[2,3,4,5,8,7,1,6]=>[2,3,4,5,7,1,6] [[.,[[[[.,.],.],.],.]],[[.,.],.]]=>[7,8,2,3,4,5,1,6]=>[2,3,4,5,7,8,1,6]=>[2,3,4,5,7,1,6] [[[.,.],[.,[.,[.,.]]]],[[.,.],.]]=>[7,8,5,4,3,1,2,6]=>[1,5,7,8,4,3,2,6]=>[1,5,7,4,3,2,6] [[[.,.],[[[.,.],.],.]],[[.,.],.]]=>[7,8,3,4,5,1,2,6]=>[1,3,4,5,7,8,2,6]=>[1,3,4,5,7,2,6] [[[[.,[.,.]],.],[.,.]],[.,[.,.]]]=>[8,7,5,2,1,3,4,6]=>[2,1,5,8,7,3,4,6]=>[2,1,5,7,3,4,6] [[[[.,[.,.]],.],[.,.]],[[.,.],.]]=>[7,8,5,2,1,3,4,6]=>[2,1,5,7,8,3,4,6]=>[2,1,5,7,3,4,6] [[[.,[.,[.,[.,.]]]],.],[[.,.],.]]=>[7,8,4,3,2,1,5,6]=>[4,3,7,8,2,1,5,6]=>[4,3,7,2,1,5,6] [[[.,[[[.,.],.],.]],.],[.,[.,.]]]=>[8,7,2,3,4,1,5,6]=>[2,3,4,1,8,7,5,6]=>[2,3,4,1,7,5,6] [[[.,[[[.,.],.],.]],.],[[.,.],.]]=>[7,8,2,3,4,1,5,6]=>[2,3,4,1,7,8,5,6]=>[2,3,4,1,7,5,6] [[[[.,[.,[.,.]]],.],.],[.,[.,.]]]=>[8,7,3,2,1,4,5,6]=>[3,2,1,8,7,4,5,6]=>[3,2,1,7,4,5,6] [[[[.,[.,[.,.]]],.],.],[[.,.],.]]=>[7,8,3,2,1,4,5,6]=>[3,2,1,7,8,4,5,6]=>[3,2,1,7,4,5,6] [[[[.,[[.,.],.]],.],.],[[.,.],.]]=>[7,8,2,3,1,4,5,6]=>[2,3,1,4,7,8,5,6]=>[2,3,1,4,7,5,6] [[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[8,7,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,6]=>[1,2,3,4,5,7,6] [[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,6]=>[1,2,3,4,5,7,6] [[.,[[[.,.],[.,.]],[.,.]]],[.,.]]=>[8,6,4,2,3,5,1,7]=>[2,4,6,8,3,5,1,7]=>[2,4,6,3,5,1,7] [[.,[[.,[.,[[.,.],.]]],.]],[.,.]]=>[8,4,5,3,2,6,1,7]=>[4,5,3,8,2,6,1,7]=>[4,5,3,2,6,1,7] [[.,[[[[[.,.],.],.],.],.]],[.,.]]=>[8,2,3,4,5,6,1,7]=>[2,3,4,5,6,8,1,7]=>[2,3,4,5,6,1,7] [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,3,1,2,7]=>[1,6,8,5,4,3,2,7]=>[1,6,5,4,3,2,7] [[[.,[[.,.],[.,.]]],[.,.]],[.,.]]=>[8,6,4,2,3,1,5,7]=>[2,4,6,8,3,1,5,7]=>[2,4,6,3,1,5,7] [[[.,[[.,[.,.]],.]],[.,.]],[.,.]]=>[8,6,3,2,4,1,5,7]=>[3,2,6,8,4,1,5,7]=>[3,2,6,4,1,5,7] [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>[2,4,6,8,1,3,5,7]=>[2,4,6,1,3,5,7] [[[[.,[[.,.],.]],.],[.,.]],[.,.]]=>[8,6,2,3,1,4,5,7]=>[2,3,1,6,8,4,5,7]=>[2,3,1,6,4,5,7] [[[.,[[[[.,.],.],.],.]],.],[.,.]]=>[8,2,3,4,5,1,6,7]=>[2,3,4,5,1,8,6,7]=>[2,3,4,5,1,6,7] [[[[.,[.,.]],[[.,.],.]],.],[.,.]]=>[8,4,5,2,1,3,6,7]=>[2,4,5,1,8,3,6,7]=>[2,4,5,1,3,6,7] [[[[[[.,.],.],.],[.,.]],.],[.,.]]=>[8,5,1,2,3,4,6,7]=>[1,2,3,5,4,8,6,7]=>[1,2,3,5,4,6,7] [[[[.,[.,[.,[.,.]]]],.],.],[.,.]]=>[8,4,3,2,1,5,6,7]=>[4,3,2,8,1,5,6,7]=>[4,3,2,1,5,6,7] [[[[.,[.,[[.,.],.]]],.],.],[.,.]]=>[8,3,4,2,1,5,6,7]=>[3,4,2,1,8,5,6,7]=>[3,4,2,1,5,6,7] [[[[.,[[.,.],[.,.]]],.],.],[.,.]]=>[8,4,2,3,1,5,6,7]=>[2,4,3,1,8,5,6,7]=>[2,4,3,1,5,6,7] [[[[.,[[.,[.,.]],.]],.],.],[.,.]]=>[8,3,2,4,1,5,6,7]=>[3,2,4,1,8,5,6,7]=>[3,2,4,1,5,6,7] [[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>[2,3,4,1,5,8,6,7]=>[2,3,4,1,5,6,7] [[[[[.,.],[.,[.,.]]],.],.],[.,.]]=>[8,4,3,1,2,5,6,7]=>[1,4,3,2,8,5,6,7]=>[1,4,3,2,5,6,7] [[[[[.,[.,.]],[.,.]],.],.],[.,.]]=>[8,4,2,1,3,5,6,7]=>[2,4,1,3,8,5,6,7]=>[2,4,1,3,5,6,7] [[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>[3,2,1,4,8,5,6,7]=>[3,2,1,4,5,6,7] [[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>[1,3,2,4,5,8,6,7]=>[1,3,2,4,5,6,7] [[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,7]=>[1,2,3,4,5,6,7] [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1,8]=>[7,6,5,4,3,2,1] [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>[6,7,5,4,3,2,1,8]=>[6,7,5,4,3,2,1] [[.,[.,[.,[.,[[.,.],[.,.]]]]]],.]=>[7,5,6,4,3,2,1,8]=>[5,7,6,4,3,2,1,8]=>[5,7,6,4,3,2,1] [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>[6,5,7,4,3,2,1,8]=>[6,5,7,4,3,2,1] [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>[5,6,7,4,3,2,1,8]=>[5,6,7,4,3,2,1] [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>[4,7,6,5,3,2,1,8]=>[4,7,6,5,3,2,1] [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>[6,5,4,7,3,2,1,8]=>[6,5,4,7,3,2,1] [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[7,6,3,4,5,2,1,8]=>[3,4,7,6,5,2,1,8]=>[3,4,7,6,5,2,1] [[.,[[.,[.,.]],[.,[.,[.,.]]]]],.]=>[7,6,5,3,2,4,1,8]=>[3,7,6,5,2,4,1,8]=>[3,7,6,5,2,4,1] [[.,[[[.,[.,.]],.],[.,[.,.]]]],.]=>[7,6,3,2,4,5,1,8]=>[3,2,7,6,4,5,1,8]=>[3,2,7,6,4,5,1] [[.,[[[.,[.,.]],.],[[.,.],.]]],.]=>[6,7,3,2,4,5,1,8]=>[3,2,6,7,4,5,1,8]=>[3,2,6,7,4,5,1] [[.,[[[.,[.,.]],[.,.]],[.,.]]],.]=>[7,5,3,2,4,6,1,8]=>[3,5,7,2,4,6,1,8]=>[3,5,7,2,4,6,1] [[.,[[[[[.,.],.],.],.],[.,.]]],.]=>[7,2,3,4,5,6,1,8]=>[2,3,4,5,7,6,1,8]=>[2,3,4,5,7,6,1] [[.,[[.,[[.,[.,.]],[.,.]]],.]],.]=>[6,4,3,5,2,7,1,8]=>[4,6,3,5,2,7,1,8]=>[4,6,3,5,2,7,1] [[.,[[.,[[.,[[.,.],.]],.]],.]],.]=>[4,5,3,6,2,7,1,8]=>[4,5,3,6,2,7,1,8]=>[4,5,3,6,2,7,1] [[.,[[[.,[.,[.,[.,.]]]],.],.]],.]=>[5,4,3,2,6,7,1,8]=>[5,4,3,2,6,7,1,8]=>[5,4,3,2,6,7,1] [[.,[[[.,[[.,.],[.,.]]],.],.]],.]=>[5,3,4,2,6,7,1,8]=>[3,5,4,2,6,7,1,8]=>[3,5,4,2,6,7,1] [[.,[[[[[.,[.,.]],.],.],.],.]],.]=>[3,2,4,5,6,7,1,8]=>[3,2,4,5,6,7,1,8]=>[3,2,4,5,6,7,1] [[.,[[[[[[.,.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,1] [[[.,.],[[[.,.],.],[[.,.],.]]],.]=>[6,7,3,4,5,1,2,8]=>[1,3,4,6,7,5,2,8]=>[1,3,4,6,7,5,2] [[[.,.],[[[[.,.],.],.],[.,.]]],.]=>[7,3,4,5,6,1,2,8]=>[1,3,4,5,7,6,2,8]=>[1,3,4,5,7,6,2] [[[[.,[.,.]],.],[.,[.,[.,.]]]],.]=>[7,6,5,2,1,3,4,8]=>[2,1,7,6,5,3,4,8]=>[2,1,7,6,5,3,4] [[[.,[[.,[.,.]],[.,.]]],[.,.]],.]=>[7,5,3,2,4,1,6,8]=>[3,5,7,2,4,1,6,8]=>[3,5,7,2,4,1,6] [[[[.,[.,[.,[.,.]]]],.],[.,.]],.]=>[7,4,3,2,1,5,6,8]=>[4,3,7,2,1,5,6,8]=>[4,3,7,2,1,5,6] [[[[.,[[[.,.],.],.]],.],[.,.]],.]=>[7,2,3,4,1,5,6,8]=>[2,3,4,1,7,5,6,8]=>[2,3,4,1,7,5,6] [[[[[.,.],[.,[.,.]]],.],[.,.]],.]=>[7,4,3,1,2,5,6,8]=>[1,4,3,7,2,5,6,8]=>[1,4,3,7,2,5,6] [[[[[[[.,.],.],.],.],.],[.,.]],.]=>[7,1,2,3,4,5,6,8]=>[1,2,3,4,5,7,6,8]=>[1,2,3,4,5,7,6] [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7,8]=>[6,5,4,3,2,1,7] [[[.,[[.,[.,[.,.]]],[.,.]]],.],.]=>[6,4,3,2,5,1,7,8]=>[4,6,3,2,5,1,7,8]=>[4,6,3,2,5,1,7] [[[.,[[[[.,.],.],.],[.,.]]],.],.]=>[6,2,3,4,5,1,7,8]=>[2,3,4,6,5,1,7,8]=>[2,3,4,6,5,1,7] [[[.,[[.,[.,[.,[.,.]]]],.]],.],.]=>[5,4,3,2,6,1,7,8]=>[5,4,3,2,6,1,7,8]=>[5,4,3,2,6,1,7] [[[.,[[.,[.,[[.,.],.]]],.]],.],.]=>[4,5,3,2,6,1,7,8]=>[4,5,3,2,6,1,7,8]=>[4,5,3,2,6,1,7] [[[.,[[[[[.,.],.],.],.],.]],.],.]=>[2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,7] [[[[[.,.],.],[[.,.],[.,.]]],.],.]=>[6,4,5,1,2,3,7,8]=>[1,2,4,6,5,3,7,8]=>[1,2,4,6,5,3,7] [[[[[.,[.,[.,.]]],.],[.,.]],.],.]=>[6,3,2,1,4,5,7,8]=>[3,2,6,1,4,5,7,8]=>[3,2,6,1,4,5,7] [[[[[[.,.],[.,.]],.],[.,.]],.],.]=>[6,3,1,2,4,5,7,8]=>[1,3,2,6,4,5,7,8]=>[1,3,2,6,4,5,7] [[[[.,[.,[.,[.,[.,.]]]]],.],.],.]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7,8]=>[5,4,3,2,1,6,7] [[[[.,[[[[.,.],.],.],.]],.],.],.]=>[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7,8]=>[2,3,4,5,1,6,7] [[[[[[[.,.],.],.],[.,.]],.],.],.]=>[5,1,2,3,4,6,7,8]=>[1,2,3,5,4,6,7,8]=>[1,2,3,5,4,6,7] [[[[[.,[.,[.,[.,.]]]],.],.],.],.]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7,8]=>[4,3,2,1,5,6,7] [[[[[.,[[.,[.,.]],.]],.],.],.],.]=>[3,2,4,1,5,6,7,8]=>[3,2,4,1,5,6,7,8]=>[3,2,4,1,5,6,7] [[[[[.,[[[.,.],.],.]],.],.],.],.]=>[2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7,8]=>[2,3,4,1,5,6,7] [[[[[[.,[.,[.,.]]],.],.],.],.],.]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7,8]=>[3,2,1,4,5,6,7] [[[[[[[.,.],[.,.]],.],.],.],.],.]=>[3,1,2,4,5,6,7,8]=>[1,3,2,4,5,6,7,8]=>[1,3,2,4,5,6,7] [[[[[[[.,[.,.]],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7,8]=>[2,1,3,4,5,6,7] [[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7] [.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[8,9,7,6,5,4,3,2,1]=>[8,9,7,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[.,[[[.,.],.],.]]]]]]]=>[7,8,9,6,5,4,3,2,1]=>[7,8,9,6,5,4,3,2,1]=>[7,8,6,5,4,3,2,1] [.,[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,9,1]=>[2,3,4,5,6,7,8,1] [[[[[[[[[.,.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8] [.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[10,9,8,7,6,5,4,3,2,1]=>[10,9,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]]=>[9,10,8,7,6,5,4,3,2,1]=>[9,10,8,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[[[[[.,.],.],.],.],.]]]]]]=>[6,7,8,9,10,5,4,3,2,1]=>[6,7,8,9,10,5,4,3,2,1]=>[6,7,8,9,5,4,3,2,1] [[.,.],[[[[[[[.,.],.],.],.],.],.],.]]=>[3,4,5,6,7,8,9,1,2]=>[1,3,4,5,6,7,8,9,2]=>[1,3,4,5,6,7,8,2] [.,[[[[[[[[[.,.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,10,1]=>[2,3,4,5,6,7,8,9,1] [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9] [.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]=>[8,7,9,6,5,4,3,2,1]=>[8,7,9,6,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]=>[8,7,6,9,5,4,3,2,1]=>[8,7,6,9,5,4,3,2,1]=>[8,7,6,5,4,3,2,1] [.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]=>[8,7,6,5,9,4,3,2,1]=>[8,7,6,5,9,4,3,2,1]=>[8,7,6,5,4,3,2,1] [.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]=>[8,7,6,5,4,9,3,2,1]=>[8,7,6,5,4,9,3,2,1]=>[8,7,6,5,4,3,2,1] [.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]=>[8,7,6,5,4,3,9,2,1]=>[8,7,6,5,4,3,9,2,1]=>[8,7,6,5,4,3,2,1] [.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]=>[8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,9,1]=>[8,7,6,5,4,3,2,1] [[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1,9]=>[8,7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]]]=>[9,8,10,7,6,5,4,3,2,1]=>[9,8,10,7,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[.,[[.,[.,[.,.]]],.]]]]]]]=>[9,8,7,10,6,5,4,3,2,1]=>[9,8,7,10,6,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [.,[.,[.,[.,[.,[[.,[.,[.,[.,.]]]],.]]]]]]=>[9,8,7,6,10,5,4,3,2,1]=>[9,8,7,6,10,5,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [.,[.,[.,[.,[[.,[.,[.,[.,[.,.]]]]],.]]]]]=>[9,8,7,6,5,10,4,3,2,1]=>[9,8,7,6,5,10,4,3,2,1]=>[9,8,7,6,5,4,3,2,1] [.,[.,[.,[[.,[.,[.,[.,[.,[.,.]]]]]],.]]]]=>[9,8,7,6,5,4,10,3,2,1]=>[9,8,7,6,5,4,10,3,2,1]=>[9,8,7,6,5,4,3,2,1] [.,[.,[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]]]=>[9,8,7,6,5,4,3,10,2,1]=>[9,8,7,6,5,4,3,10,2,1]=>[9,8,7,6,5,4,3,2,1] [.,[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.]]=>[9,8,7,6,5,4,3,2,10,1]=>[9,8,7,6,5,4,3,2,10,1]=>[9,8,7,6,5,4,3,2,1] [[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]],.]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1,10]=>[9,8,7,6,5,4,3,2,1] [[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[10,8,6,4,2,1,3,5,7,9]=>[2,4,6,8,10,1,3,5,7,9]=>[2,4,6,8,1,3,5,7,9] [[[[[[.,[.,.]],[.,.]],[.,.]],[.,.]],[.,.]],[.,.]]=>[12,10,8,6,4,2,1,3,5,7,9,11]=>[2,4,6,8,10,12,1,3,5,7,9,11]=>[2,4,6,8,10,1,3,5,7,9,11] [[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[9,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,8]=>[1,2,3,4,5,6,7,8] [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[10,1,2,3,4,5,6,7,8,9]=>[1,2,3,4,5,6,7,8,10,9]=>[1,2,3,4,5,6,7,8,9] [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,9,1]=>[3,2,4,5,6,7,8,1] [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>[11,1,2,3,4,5,6,7,8,9,10]=>[1,2,3,4,5,6,7,8,9,11,10]=>[1,2,3,4,5,6,7,8,9,10] [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>[3,4,2,5,6,7,8,9,1]=>[3,4,2,5,6,7,8,9,1]=>[3,4,2,5,6,7,8,1] [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,10,1]=>[3,2,4,5,6,7,8,9,10,1]=>[3,2,4,5,6,7,8,9,1] [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,11,1]=>[2,3,4,5,6,7,8,9,10,11,1]=>[2,3,4,5,6,7,8,9,10,1] [[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[8,9,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,7]=>[1,2,3,4,5,6,8,7] [[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[7,8,9,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,6]=>[1,2,3,4,5,7,8,6] [[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>[6,7,8,9,1,2,3,4,5]=>[1,2,3,4,6,7,8,9,5]=>[1,2,3,4,6,7,8,5] [[[[.,.],.],.],[[[[[.,.],.],.],.],.]]=>[5,6,7,8,9,1,2,3,4]=>[1,2,3,5,6,7,8,9,4]=>[1,2,3,5,6,7,8,4] [[[.,.],.],[[[[[[.,.],.],.],.],.],.]]=>[4,5,6,7,8,9,1,2,3]=>[1,2,4,5,6,7,8,9,3]=>[1,2,4,5,6,7,8,3] [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[9,8,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,9,8,7]=>[1,2,3,4,5,6,8,7] [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[9,10,1,2,3,4,5,6,7,8]=>[1,2,3,4,5,6,7,9,10,8]=>[1,2,3,4,5,6,7,9,8] [[[[[[.,.],.],.],.],.],[[.,[.,.]],.]]=>[8,7,9,1,2,3,4,5,6]=>[1,2,3,4,5,8,7,9,6]=>[1,2,3,4,5,8,7,6] [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>[8,9,10,1,2,3,4,5,6,7]=>[1,2,3,4,5,6,8,9,10,7]=>[1,2,3,4,5,6,8,9,7] [[[[[.,.],.],.],.],[[[.,[.,.]],.],.]]=>[7,6,8,9,1,2,3,4,5]=>[1,2,3,4,7,6,8,9,5]=>[1,2,3,4,7,6,8,5] [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[7,8,9,10,1,2,3,4,5,6]=>[1,2,3,4,5,7,8,9,10,6]=>[1,2,3,4,5,7,8,9,6] [[[[.,.],.],.],[[[[.,[.,.]],.],.],.]]=>[6,5,7,8,9,1,2,3,4]=>[1,2,3,6,5,7,8,9,4]=>[1,2,3,6,5,7,8,4] [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[6,7,8,9,10,1,2,3,4,5]=>[1,2,3,4,6,7,8,9,10,5]=>[1,2,3,4,6,7,8,9,5] [[[.,.],.],[[[[[.,[.,.]],.],.],.],.]]=>[5,4,6,7,8,9,1,2,3]=>[1,2,5,4,6,7,8,9,3]=>[1,2,5,4,6,7,8,3] [[[[.,.],.],.],[[[[[[.,.],.],.],.],.],.]]=>[5,6,7,8,9,10,1,2,3,4]=>[1,2,3,5,6,7,8,9,10,4]=>[1,2,3,5,6,7,8,9,4] [[.,.],[[[[[[.,[.,.]],.],.],.],.],.]]=>[4,3,5,6,7,8,9,1,2]=>[1,4,3,5,6,7,8,9,2]=>[1,4,3,5,6,7,8,2] [[[.,.],.],[[[[[[[.,.],.],.],.],.],.],.]]=>[4,5,6,7,8,9,10,1,2,3]=>[1,2,4,5,6,7,8,9,10,3]=>[1,2,4,5,6,7,8,9,3] [[.,.],[[[[[[[[.,.],.],.],.],.],.],.],.]]=>[3,4,5,6,7,8,9,10,1,2]=>[1,3,4,5,6,7,8,9,10,2]=>[1,3,4,5,6,7,8,9,2] [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,5,4,3,1,2]=>[1,9,8,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2] [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]=>[7,8,6,5,4,3,2,1,9]=>[7,8,6,5,4,3,2,1,9]=>[7,8,6,5,4,3,2,1] [[.,.],[.,[.,[.,[.,[.,[[.,.],.]]]]]]]=>[8,9,7,6,5,4,3,1,2]=>[1,8,9,7,6,5,4,3,2]=>[1,8,7,6,5,4,3,2] [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,6,5,4,3,1,2]=>[1,10,9,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2] [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1,11]=>[10,9,8,7,6,5,4,3,2,1] [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]=>[8,9,7,6,5,4,3,2,1,10]=>[8,9,7,6,5,4,3,2,1,10]=>[8,9,7,6,5,4,3,2,1] [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]=>[7,6,8,5,4,3,2,1,9]=>[7,6,8,5,4,3,2,1,9]=>[7,6,8,5,4,3,2,1] [[.,[.,[.,[.,[.,[[.,.],[.,.]]]]]]],.]=>[8,6,7,5,4,3,2,1,9]=>[6,8,7,5,4,3,2,1,9]=>[6,8,7,5,4,3,2,1] [[.,.],[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[8,7,9,6,5,4,3,1,2]=>[1,8,7,9,6,5,4,3,2]=>[1,8,7,6,5,4,3,2] [[.,.],[.,[.,[.,[.,[[.,.],[.,.]]]]]]]=>[9,7,8,6,5,4,3,1,2]=>[1,7,9,8,6,5,4,3,2]=>[1,7,8,6,5,4,3,2] [[.,.],[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]]=>[9,10,8,7,6,5,4,3,1,2]=>[1,9,10,8,7,6,5,4,3,2]=>[1,9,8,7,6,5,4,3,2] [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]]=>[11,10,9,8,7,6,5,4,3,1,2]=>[1,11,10,9,8,7,6,5,4,3,2]=>[1,10,9,8,7,6,5,4,3,2] [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8,9]=>[7,6,5,4,3,2,1,8] [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8,9]=>[6,5,4,3,2,1,7,8] [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8,9]=>[5,4,3,2,1,6,7,8] [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8,9]=>[4,3,2,1,5,6,7,8] [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8,9]=>[3,2,1,4,5,6,7,8] [[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8,9]=>[2,1,3,4,5,6,7,8] [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9,10]=>[8,7,6,5,4,3,2,1,9] [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9,10]=>[7,6,5,4,3,2,1,8,9] [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9,10]=>[6,5,4,3,2,1,7,8,9] [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9,10]=>[5,4,3,2,1,6,7,8,9] [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9,10]=>[4,3,2,1,5,6,7,8,9] [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9,10]=>[3,2,1,4,5,6,7,8,9] [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9,10]=>[2,1,3,4,5,6,7,8,9] [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10,11]=>[2,1,3,4,5,6,7,8,9,10] [[.,[[[[[[[.,.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,1,9]=>[2,3,4,5,6,7,8,1] [[[.,[[[[[[.,.],.],.],.],.],.]],.],.]=>[2,3,4,5,6,7,1,8,9]=>[2,3,4,5,6,7,1,8,9]=>[2,3,4,5,6,7,1,8] [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,9,1,10]=>[2,3,4,5,6,7,8,9,1,10]=>[2,3,4,5,6,7,8,9,1] [[.,[.,.]],[[[[[[.,.],.],.],.],.],.]]=>[4,5,6,7,8,9,2,1,3]=>[2,4,5,6,7,8,9,1,3]=>[2,4,5,6,7,8,1,3] [[.,[[[[[[.,.],.],.],.],.],.]],[.,.]]=>[9,2,3,4,5,6,7,1,8]=>[2,3,4,5,6,7,9,1,8]=>[2,3,4,5,6,7,1,8] [[[.,[[[[[.,.],.],.],.],.]],.],[.,.]]=>[9,2,3,4,5,6,1,7,8]=>[2,3,4,5,6,1,9,7,8]=>[2,3,4,5,6,1,7,8]
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
Foata bijection
Description
Sends a permutation to its image under the Foata bijection.
The Foata bijection $\phi$ is a bijection on the set of words with no two equal letters. It can be defined by induction on the size of the word:
Given a word $w_1 w_2 ... w_n$, compute the image inductively by starting with $\phi(w_1) = w_1$.
At the $i$-th step, if $\phi(w_1 w_2 ... w_i) = v_1 v_2 ... v_i$, define $\phi(w_1 w_2 ... w_i w_{i+1})$ by placing $w_{i+1}$ on the end of the word $v_1 v_2 ... v_i$ and breaking the word up into blocks as follows.
  • If $w_{i+1} \geq v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} \geq v_k$.
  • If $w_{i+1} < v_i$, place a vertical line to the right of each $v_k$ for which $w_{i+1} < v_k$.
In either case, place a vertical line at the start of the word as well. Now, within each block between vertical lines, cyclically shift the entries one place to the right.
To compute $\phi([1,4,2,5,3])$, the sequence of words is
  • $1$
  • $|1|4 \to 14$
  • $|14|2 \to 412$
  • $|4|1|2|5 \to 4125$
  • $|4|125|3 \to 45123.$
In total, this gives $\phi([1,4,2,5,3]) = [4,5,1,2,3]$.
This bijection sends the major index (St000004The major index of a permutation.) to the number of inversions (St000018The number of inversions of a permutation.).
Map
restriction
Description
The permutation obtained by removing the largest letter.
This map is undefined for the empty permutation.