Identifier
Mp00072: Permutations binary search tree: left to rightBinary trees
Mp00014: to 132-avoiding permutationPermutations
Mp00114: Permutations connectivity setBinary words
Images
=>
Cc0010;cc-rep-1
[1]=>[.,.]=>[1]=> [1,2]=>[.,[.,.]]=>[2,1]=>0 [2,1]=>[[.,.],.]=>[1,2]=>1 [1,2,3]=>[.,[.,[.,.]]]=>[3,2,1]=>00 [1,3,2]=>[.,[[.,.],.]]=>[2,3,1]=>00 [2,1,3]=>[[.,.],[.,.]]=>[3,1,2]=>00 [2,3,1]=>[[.,.],[.,.]]=>[3,1,2]=>00 [3,1,2]=>[[.,[.,.]],.]=>[2,1,3]=>01 [3,2,1]=>[[[.,.],.],.]=>[1,2,3]=>11 [1,2,3,4]=>[.,[.,[.,[.,.]]]]=>[4,3,2,1]=>000 [1,2,4,3]=>[.,[.,[[.,.],.]]]=>[3,4,2,1]=>000 [1,3,2,4]=>[.,[[.,.],[.,.]]]=>[4,2,3,1]=>000 [1,3,4,2]=>[.,[[.,.],[.,.]]]=>[4,2,3,1]=>000 [1,4,2,3]=>[.,[[.,[.,.]],.]]=>[3,2,4,1]=>000 [1,4,3,2]=>[.,[[[.,.],.],.]]=>[2,3,4,1]=>000 [2,1,3,4]=>[[.,.],[.,[.,.]]]=>[4,3,1,2]=>000 [2,1,4,3]=>[[.,.],[[.,.],.]]=>[3,4,1,2]=>000 [2,3,1,4]=>[[.,.],[.,[.,.]]]=>[4,3,1,2]=>000 [2,3,4,1]=>[[.,.],[.,[.,.]]]=>[4,3,1,2]=>000 [2,4,1,3]=>[[.,.],[[.,.],.]]=>[3,4,1,2]=>000 [2,4,3,1]=>[[.,.],[[.,.],.]]=>[3,4,1,2]=>000 [3,1,2,4]=>[[.,[.,.]],[.,.]]=>[4,2,1,3]=>000 [3,1,4,2]=>[[.,[.,.]],[.,.]]=>[4,2,1,3]=>000 [3,2,1,4]=>[[[.,.],.],[.,.]]=>[4,1,2,3]=>000 [3,2,4,1]=>[[[.,.],.],[.,.]]=>[4,1,2,3]=>000 [3,4,1,2]=>[[.,[.,.]],[.,.]]=>[4,2,1,3]=>000 [3,4,2,1]=>[[[.,.],.],[.,.]]=>[4,1,2,3]=>000 [4,1,2,3]=>[[.,[.,[.,.]]],.]=>[3,2,1,4]=>001 [4,1,3,2]=>[[.,[[.,.],.]],.]=>[2,3,1,4]=>001 [4,2,1,3]=>[[[.,.],[.,.]],.]=>[3,1,2,4]=>001 [4,2,3,1]=>[[[.,.],[.,.]],.]=>[3,1,2,4]=>001 [4,3,1,2]=>[[[.,[.,.]],.],.]=>[2,1,3,4]=>011 [4,3,2,1]=>[[[[.,.],.],.],.]=>[1,2,3,4]=>111 [1,2,3,4,5]=>[.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>0000 [1,2,3,5,4]=>[.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>0000 [1,2,4,3,5]=>[.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>0000 [1,2,4,5,3]=>[.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>0000 [1,2,5,3,4]=>[.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>0000 [1,2,5,4,3]=>[.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>0000 [1,3,2,4,5]=>[.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>0000 [1,3,2,5,4]=>[.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>0000 [1,3,4,2,5]=>[.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>0000 [1,3,4,5,2]=>[.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>0000 [1,3,5,2,4]=>[.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>0000 [1,3,5,4,2]=>[.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>0000 [1,4,2,3,5]=>[.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>0000 [1,4,2,5,3]=>[.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>0000 [1,4,3,2,5]=>[.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>0000 [1,4,3,5,2]=>[.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>0000 [1,4,5,2,3]=>[.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>0000 [1,4,5,3,2]=>[.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>0000 [1,5,2,3,4]=>[.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>0000 [1,5,2,4,3]=>[.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>0000 [1,5,3,2,4]=>[.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>0000 [1,5,3,4,2]=>[.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>0000 [1,5,4,2,3]=>[.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>0000 [1,5,4,3,2]=>[.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>0000 [2,1,3,4,5]=>[[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>0000 [2,1,3,5,4]=>[[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>0000 [2,1,4,3,5]=>[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>0000 [2,1,4,5,3]=>[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>0000 [2,1,5,3,4]=>[[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>0000 [2,1,5,4,3]=>[[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>0000 [2,3,1,4,5]=>[[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>0000 [2,3,1,5,4]=>[[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>0000 [2,3,4,1,5]=>[[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>0000 [2,3,4,5,1]=>[[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>0000 [2,3,5,1,4]=>[[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>0000 [2,3,5,4,1]=>[[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>0000 [2,4,1,3,5]=>[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>0000 [2,4,1,5,3]=>[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>0000 [2,4,3,1,5]=>[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>0000 [2,4,3,5,1]=>[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>0000 [2,4,5,1,3]=>[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>0000 [2,4,5,3,1]=>[[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>0000 [2,5,1,3,4]=>[[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>0000 [2,5,1,4,3]=>[[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>0000 [2,5,3,1,4]=>[[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>0000 [2,5,3,4,1]=>[[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>0000 [2,5,4,1,3]=>[[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>0000 [2,5,4,3,1]=>[[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>0000 [3,1,2,4,5]=>[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>0000 [3,1,2,5,4]=>[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>0000 [3,1,4,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>0000 [3,1,4,5,2]=>[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>0000 [3,1,5,2,4]=>[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>0000 [3,1,5,4,2]=>[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>0000 [3,2,1,4,5]=>[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>0000 [3,2,1,5,4]=>[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>0000 [3,2,4,1,5]=>[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>0000 [3,2,4,5,1]=>[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>0000 [3,2,5,1,4]=>[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>0000 [3,2,5,4,1]=>[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>0000 [3,4,1,2,5]=>[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>0000 [3,4,1,5,2]=>[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>0000 [3,4,2,1,5]=>[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>0000 [3,4,2,5,1]=>[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>0000 [3,4,5,1,2]=>[[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>0000 [3,4,5,2,1]=>[[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>0000 [3,5,1,2,4]=>[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>0000 [3,5,1,4,2]=>[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>0000 [3,5,2,1,4]=>[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>0000 [3,5,2,4,1]=>[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>0000 [3,5,4,1,2]=>[[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>0000 [3,5,4,2,1]=>[[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>0000 [4,1,2,3,5]=>[[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>0000 [4,1,2,5,3]=>[[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>0000 [4,1,3,2,5]=>[[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>0000 [4,1,3,5,2]=>[[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>0000 [4,1,5,2,3]=>[[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>0000 [4,1,5,3,2]=>[[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>0000 [4,2,1,3,5]=>[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>0000 [4,2,1,5,3]=>[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>0000 [4,2,3,1,5]=>[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>0000 [4,2,3,5,1]=>[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>0000 [4,2,5,1,3]=>[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>0000 [4,2,5,3,1]=>[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>0000 [4,3,1,2,5]=>[[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>0000 [4,3,1,5,2]=>[[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>0000 [4,3,2,1,5]=>[[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>0000 [4,3,2,5,1]=>[[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>0000 [4,3,5,1,2]=>[[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>0000 [4,3,5,2,1]=>[[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>0000 [4,5,1,2,3]=>[[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>0000 [4,5,1,3,2]=>[[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>0000 [4,5,2,1,3]=>[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>0000 [4,5,2,3,1]=>[[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>0000 [4,5,3,1,2]=>[[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>0000 [4,5,3,2,1]=>[[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>0000 [5,1,2,3,4]=>[[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>0001 [5,1,2,4,3]=>[[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>0001 [5,1,3,2,4]=>[[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>0001 [5,1,3,4,2]=>[[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>0001 [5,1,4,2,3]=>[[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>0001 [5,1,4,3,2]=>[[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>0001 [5,2,1,3,4]=>[[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>0001 [5,2,1,4,3]=>[[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>0001 [5,2,3,1,4]=>[[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>0001 [5,2,3,4,1]=>[[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>0001 [5,2,4,1,3]=>[[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>0001 [5,2,4,3,1]=>[[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>0001 [5,3,1,2,4]=>[[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>0001 [5,3,1,4,2]=>[[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>0001 [5,3,2,1,4]=>[[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>0001 [5,3,2,4,1]=>[[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>0001 [5,3,4,1,2]=>[[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>0001 [5,3,4,2,1]=>[[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>0001 [5,4,1,2,3]=>[[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>0011 [5,4,1,3,2]=>[[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>0011 [5,4,2,1,3]=>[[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>0011 [5,4,2,3,1]=>[[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>0011 [5,4,3,1,2]=>[[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>0111 [5,4,3,2,1]=>[[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>1111 [1,2,3,4,5,6]=>[.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>00000 [1,2,3,4,6,5]=>[.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>00000 [1,2,3,5,4,6]=>[.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>00000 [1,2,3,5,6,4]=>[.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>00000 [1,2,3,6,4,5]=>[.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>00000 [1,2,3,6,5,4]=>[.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>00000 [1,2,4,3,5,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>00000 [1,2,4,3,6,5]=>[.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>00000 [1,2,4,5,3,6]=>[.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>00000 [1,2,4,5,6,3]=>[.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>00000 [1,2,4,6,3,5]=>[.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>00000 [1,2,4,6,5,3]=>[.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>00000 [1,2,5,3,4,6]=>[.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>00000 [1,2,5,3,6,4]=>[.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>00000 [1,2,5,4,3,6]=>[.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>00000 [1,2,5,4,6,3]=>[.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>00000 [1,2,5,6,3,4]=>[.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>00000 [1,2,5,6,4,3]=>[.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>00000 [1,2,6,3,4,5]=>[.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>00000 [1,2,6,3,5,4]=>[.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>00000 [1,2,6,4,3,5]=>[.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>00000 [1,2,6,4,5,3]=>[.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>00000 [1,2,6,5,3,4]=>[.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>00000 [1,2,6,5,4,3]=>[.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>00000 [1,3,2,4,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>00000 [1,3,2,4,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>00000 [1,3,2,5,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>00000 [1,3,2,5,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>00000 [1,3,2,6,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>00000 [1,3,2,6,5,4]=>[.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>00000 [1,3,4,2,5,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>00000 [1,3,4,2,6,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>00000 [1,3,4,5,2,6]=>[.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>00000 [1,3,4,5,6,2]=>[.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>00000 [1,3,4,6,2,5]=>[.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>00000 [1,3,4,6,5,2]=>[.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>00000 [1,3,5,2,4,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>00000 [1,3,5,2,6,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>00000 [1,3,5,4,2,6]=>[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>00000 [1,3,5,4,6,2]=>[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>00000 [1,3,5,6,2,4]=>[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>00000 [1,3,5,6,4,2]=>[.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>00000 [1,3,6,2,4,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>00000 [1,3,6,2,5,4]=>[.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>00000 [1,3,6,4,2,5]=>[.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>00000 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[6,2,5,3,4,1]=>[[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>00001 [6,2,5,4,1,3]=>[[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>00001 [6,2,5,4,3,1]=>[[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>00001 [6,3,1,2,4,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>00001 [6,3,1,2,5,4]=>[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>00001 [6,3,1,4,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>00001 [6,3,1,4,5,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>00001 [6,3,1,5,2,4]=>[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>00001 [6,3,1,5,4,2]=>[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>00001 [6,3,2,1,4,5]=>[[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>00001 [6,3,2,1,5,4]=>[[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>00001 [6,3,2,4,1,5]=>[[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>00001 [6,3,2,4,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>00001 [6,3,2,5,1,4]=>[[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>00001 [6,3,2,5,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>00001 [6,3,4,1,2,5]=>[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>00001 [6,3,4,1,5,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>00001 [6,3,4,2,1,5]=>[[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>00001 [6,3,4,2,5,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>00001 [6,3,4,5,1,2]=>[[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>00001 [6,3,4,5,2,1]=>[[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>00001 [6,3,5,1,2,4]=>[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>00001 [6,3,5,1,4,2]=>[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>00001 [6,3,5,2,1,4]=>[[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>00001 [6,3,5,2,4,1]=>[[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>00001 [6,3,5,4,1,2]=>[[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>00001 [6,3,5,4,2,1]=>[[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>00001 [6,4,1,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>00001 [6,4,1,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>00001 [6,4,1,3,2,5]=>[[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>00001 [6,4,1,3,5,2]=>[[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>00001 [6,4,1,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>00001 [6,4,1,5,3,2]=>[[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>00001 [6,4,2,1,3,5]=>[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>00001 [6,4,2,1,5,3]=>[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>00001 [6,4,2,3,1,5]=>[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>00001 [6,4,2,3,5,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>00001 [6,4,2,5,1,3]=>[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>00001 [6,4,2,5,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>00001 [6,4,3,1,2,5]=>[[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>00001 [6,4,3,1,5,2]=>[[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>00001 [6,4,3,2,1,5]=>[[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>00001 [6,4,3,2,5,1]=>[[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>00001 [6,4,3,5,1,2]=>[[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>00001 [6,4,3,5,2,1]=>[[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>00001 [6,4,5,1,2,3]=>[[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>00001 [6,4,5,1,3,2]=>[[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>00001 [6,4,5,2,1,3]=>[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>00001 [6,4,5,2,3,1]=>[[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>00001 [6,4,5,3,1,2]=>[[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>00001 [6,4,5,3,2,1]=>[[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>00001 [6,5,1,2,3,4]=>[[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>00011 [6,5,1,2,4,3]=>[[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>00011 [6,5,1,3,2,4]=>[[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>00011 [6,5,1,3,4,2]=>[[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>00011 [6,5,1,4,2,3]=>[[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>00011 [6,5,1,4,3,2]=>[[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>00011 [6,5,2,1,3,4]=>[[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>00011 [6,5,2,1,4,3]=>[[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>00011 [6,5,2,3,1,4]=>[[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>00011 [6,5,2,3,4,1]=>[[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>00011 [6,5,2,4,1,3]=>[[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>00011 [6,5,2,4,3,1]=>[[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>00011 [6,5,3,1,2,4]=>[[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>00011 [6,5,3,1,4,2]=>[[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>00011 [6,5,3,2,1,4]=>[[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>00011 [6,5,3,2,4,1]=>[[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>00011 [6,5,3,4,1,2]=>[[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>00011 [6,5,3,4,2,1]=>[[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>00011 [6,5,4,1,2,3]=>[[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>00111 [6,5,4,1,3,2]=>[[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>00111 [6,5,4,2,1,3]=>[[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>00111 [6,5,4,2,3,1]=>[[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>00111 [6,5,4,3,1,2]=>[[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>01111 [6,5,4,3,2,1]=>[[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>11111 [1,2,3,4,5,6,7]=>[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>000000 [1,2,3,4,5,7,6]=>[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>[6,7,5,4,3,2,1]=>000000 [1,2,3,4,6,5,7]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>000000 [1,2,3,4,6,7,5]=>[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>[7,5,6,4,3,2,1]=>000000 [1,2,3,4,7,5,6]=>[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>[6,5,7,4,3,2,1]=>000000 [1,2,3,4,7,6,5]=>[.,[.,[.,[.,[[[.,.],.],.]]]]]=>[5,6,7,4,3,2,1]=>000000 [1,2,3,5,4,6,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>000000 [1,2,3,5,4,7,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>000000 [1,2,3,5,6,4,7]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>000000 [1,2,3,5,6,7,4]=>[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>[7,6,4,5,3,2,1]=>000000 [1,2,3,5,7,4,6]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>000000 [1,2,3,5,7,6,4]=>[.,[.,[.,[[.,.],[[.,.],.]]]]]=>[6,7,4,5,3,2,1]=>000000 [1,2,3,6,4,5,7]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>000000 [1,2,3,6,4,7,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>000000 [1,2,3,6,5,4,7]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>000000 [1,2,3,6,5,7,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>000000 [1,2,3,6,7,4,5]=>[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>[7,5,4,6,3,2,1]=>000000 [1,2,3,6,7,5,4]=>[.,[.,[.,[[[.,.],.],[.,.]]]]]=>[7,4,5,6,3,2,1]=>000000 [1,2,3,7,4,5,6]=>[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>[6,5,4,7,3,2,1]=>000000 [1,2,3,7,4,6,5]=>[.,[.,[.,[[.,[[.,.],.]],.]]]]=>[5,6,4,7,3,2,1]=>000000 [1,2,3,7,5,4,6]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>000000 [1,2,3,7,5,6,4]=>[.,[.,[.,[[[.,.],[.,.]],.]]]]=>[6,4,5,7,3,2,1]=>000000 [1,2,3,7,6,4,5]=>[.,[.,[.,[[[.,[.,.]],.],.]]]]=>[5,4,6,7,3,2,1]=>000000 [1,2,3,7,6,5,4]=>[.,[.,[.,[[[[.,.],.],.],.]]]]=>[4,5,6,7,3,2,1]=>000000 [1,2,4,3,5,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>000000 [1,2,4,3,5,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>000000 [1,2,4,3,6,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>000000 [1,2,4,3,6,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>000000 [1,2,4,3,7,5,6]=>[.,[.,[[.,.],[[.,[.,.]],.]]]]=>[6,5,7,3,4,2,1]=>000000 [1,2,4,3,7,6,5]=>[.,[.,[[.,.],[[[.,.],.],.]]]]=>[5,6,7,3,4,2,1]=>000000 [1,2,4,5,3,6,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>000000 [1,2,4,5,3,7,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>000000 [1,2,4,5,6,3,7]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>000000 [1,2,4,5,6,7,3]=>[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>[7,6,5,3,4,2,1]=>000000 [1,2,4,5,7,3,6]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>000000 [1,2,4,5,7,6,3]=>[.,[.,[[.,.],[.,[[.,.],.]]]]]=>[6,7,5,3,4,2,1]=>000000 [1,2,4,6,3,5,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>000000 [1,2,4,6,3,7,5]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>000000 [1,2,4,6,5,3,7]=>[.,[.,[[.,.],[[.,.],[.,.]]]]]=>[7,5,6,3,4,2,1]=>000000 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[6,4,1,7,2,3,5]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>000000 [6,4,1,7,2,5,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>000000 [6,4,1,7,3,2,5]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>000000 [6,4,1,7,3,5,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>000000 [6,4,1,7,5,2,3]=>[[[.,[.,[.,.]]],[.,.]],[.,.]]=>[7,5,3,2,1,4,6]=>000000 [6,4,1,7,5,3,2]=>[[[.,[[.,.],.]],[.,.]],[.,.]]=>[7,5,2,3,1,4,6]=>000000 [6,4,2,1,3,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>000000 [6,4,2,1,3,7,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>000000 [6,4,2,1,5,3,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>000000 [6,4,2,1,5,7,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>000000 [6,4,2,1,7,3,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>000000 [6,4,2,1,7,5,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>000000 [6,4,2,3,1,5,7]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>000000 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[6,4,2,7,3,1,5]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>000000 [6,4,2,7,3,5,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>000000 [6,4,2,7,5,1,3]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>000000 [6,4,2,7,5,3,1]=>[[[[.,.],[.,.]],[.,.]],[.,.]]=>[7,5,3,1,2,4,6]=>000000 [6,4,3,1,2,5,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>000000 [6,4,3,1,2,7,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>000000 [6,4,3,1,5,2,7]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>000000 [6,4,3,1,5,7,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>000000 [6,4,3,1,7,2,5]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>000000 [6,4,3,1,7,5,2]=>[[[[.,[.,.]],.],[.,.]],[.,.]]=>[7,5,2,1,3,4,6]=>000000 [6,4,3,2,1,5,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>000000 [6,4,3,2,1,7,5]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>000000 [6,4,3,2,5,1,7]=>[[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>000000 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[7,2,1,4,3,5,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>000001 [7,2,1,4,3,6,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>000001 [7,2,1,4,5,3,6]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>000001 [7,2,1,4,5,6,3]=>[[[.,.],[[.,.],[.,[.,.]]]],.]=>[6,5,3,4,1,2,7]=>000001 [7,2,1,4,6,3,5]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>000001 [7,2,1,4,6,5,3]=>[[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>000001 [7,2,1,5,3,4,6]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>000001 [7,2,1,5,3,6,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>000001 [7,2,1,5,4,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>000001 [7,2,1,5,4,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>000001 [7,2,1,5,6,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>000001 [7,2,1,5,6,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>000001 [7,2,1,6,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>000001 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[7,2,3,4,5,1,6]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>000001 [7,2,3,4,5,6,1]=>[[[.,.],[.,[.,[.,[.,.]]]]],.]=>[6,5,4,3,1,2,7]=>000001 [7,2,3,4,6,1,5]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>000001 [7,2,3,4,6,5,1]=>[[[.,.],[.,[.,[[.,.],.]]]],.]=>[5,6,4,3,1,2,7]=>000001 [7,2,3,5,1,4,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>000001 [7,2,3,5,1,6,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>000001 [7,2,3,5,4,1,6]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>000001 [7,2,3,5,4,6,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>000001 [7,2,3,5,6,1,4]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>000001 [7,2,3,5,6,4,1]=>[[[.,.],[.,[[.,.],[.,.]]]],.]=>[6,4,5,3,1,2,7]=>000001 [7,2,3,6,1,4,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>000001 [7,2,3,6,1,5,4]=>[[[.,.],[.,[[[.,.],.],.]]],.]=>[4,5,6,3,1,2,7]=>000001 [7,2,3,6,4,1,5]=>[[[.,.],[.,[[.,[.,.]],.]]],.]=>[5,4,6,3,1,2,7]=>000001 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[7,2,5,4,1,3,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>000001 [7,2,5,4,1,6,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>000001 [7,2,5,4,3,1,6]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>000001 [7,2,5,4,3,6,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>000001 [7,2,5,4,6,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>000001 [7,2,5,4,6,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>000001 [7,2,5,6,1,3,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>000001 [7,2,5,6,1,4,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>000001 [7,2,5,6,3,1,4]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>000001 [7,2,5,6,3,4,1]=>[[[.,.],[[.,[.,.]],[.,.]]],.]=>[6,4,3,5,1,2,7]=>000001 [7,2,5,6,4,1,3]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>000001 [7,2,5,6,4,3,1]=>[[[.,.],[[[.,.],.],[.,.]]],.]=>[6,3,4,5,1,2,7]=>000001 [7,2,6,1,3,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>000001 [7,2,6,1,3,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>000001 [7,2,6,1,4,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>000001 [7,2,6,1,4,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>000001 [7,2,6,1,5,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>000001 [7,2,6,1,5,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>000001 [7,2,6,3,1,4,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>000001 [7,2,6,3,1,5,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>000001 [7,2,6,3,4,1,5]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>000001 [7,2,6,3,4,5,1]=>[[[.,.],[[.,[.,[.,.]]],.]],.]=>[5,4,3,6,1,2,7]=>000001 [7,2,6,3,5,1,4]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>000001 [7,2,6,3,5,4,1]=>[[[.,.],[[.,[[.,.],.]],.]],.]=>[4,5,3,6,1,2,7]=>000001 [7,2,6,4,1,3,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>000001 [7,2,6,4,1,5,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>000001 [7,2,6,4,3,1,5]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>000001 [7,2,6,4,3,5,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>000001 [7,2,6,4,5,1,3]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>000001 [7,2,6,4,5,3,1]=>[[[.,.],[[[.,.],[.,.]],.]],.]=>[5,3,4,6,1,2,7]=>000001 [7,2,6,5,1,3,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>000001 [7,2,6,5,1,4,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>000001 [7,2,6,5,3,1,4]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>000001 [7,2,6,5,3,4,1]=>[[[.,.],[[[.,[.,.]],.],.]],.]=>[4,3,5,6,1,2,7]=>000001 [7,2,6,5,4,1,3]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>000001 [7,2,6,5,4,3,1]=>[[[.,.],[[[[.,.],.],.],.]],.]=>[3,4,5,6,1,2,7]=>000001 [7,3,1,2,4,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>000001 [7,3,1,2,4,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>000001 [7,3,1,2,5,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,1,2,5,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,1,2,6,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>000001 [7,3,1,2,6,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>000001 [7,3,1,4,2,5,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>000001 [7,3,1,4,2,6,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>000001 [7,3,1,4,5,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>000001 [7,3,1,4,5,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>000001 [7,3,1,4,6,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>000001 [7,3,1,4,6,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>000001 [7,3,1,5,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,1,5,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,1,5,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,1,5,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,1,5,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,1,5,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,1,6,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>000001 [7,3,1,6,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>000001 [7,3,1,6,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>000001 [7,3,1,6,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>000001 [7,3,1,6,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>000001 [7,3,1,6,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>000001 [7,3,2,1,4,5,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>000001 [7,3,2,1,4,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>000001 [7,3,2,1,5,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,2,1,5,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,2,1,6,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>000001 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[7,3,4,2,1,6,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>000001 [7,3,4,2,5,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>000001 [7,3,4,2,5,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>000001 [7,3,4,2,6,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>000001 [7,3,4,2,6,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>000001 [7,3,4,5,1,2,6]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>000001 [7,3,4,5,1,6,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>000001 [7,3,4,5,2,1,6]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>000001 [7,3,4,5,2,6,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>000001 [7,3,4,5,6,1,2]=>[[[.,[.,.]],[.,[.,[.,.]]]],.]=>[6,5,4,2,1,3,7]=>000001 [7,3,4,5,6,2,1]=>[[[[.,.],.],[.,[.,[.,.]]]],.]=>[6,5,4,1,2,3,7]=>000001 [7,3,4,6,1,2,5]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>000001 [7,3,4,6,1,5,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>000001 [7,3,4,6,2,1,5]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>000001 [7,3,4,6,2,5,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>000001 [7,3,4,6,5,1,2]=>[[[.,[.,.]],[.,[[.,.],.]]],.]=>[5,6,4,2,1,3,7]=>000001 [7,3,4,6,5,2,1]=>[[[[.,.],.],[.,[[.,.],.]]],.]=>[5,6,4,1,2,3,7]=>000001 [7,3,5,1,2,4,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,5,1,2,6,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,5,1,4,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,5,1,4,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,5,1,6,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,5,1,6,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,5,2,1,4,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,5,2,1,6,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,5,2,4,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,5,2,4,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,5,2,6,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,5,2,6,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,5,4,1,2,6]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,5,4,1,6,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,5,4,2,1,6]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,5,4,2,6,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,5,4,6,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,5,4,6,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,5,6,1,2,4]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,5,6,1,4,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,5,6,2,1,4]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,5,6,2,4,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,5,6,4,1,2]=>[[[.,[.,.]],[[.,.],[.,.]]],.]=>[6,4,5,2,1,3,7]=>000001 [7,3,5,6,4,2,1]=>[[[[.,.],.],[[.,.],[.,.]]],.]=>[6,4,5,1,2,3,7]=>000001 [7,3,6,1,2,4,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>000001 [7,3,6,1,2,5,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>000001 [7,3,6,1,4,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>000001 [7,3,6,1,4,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>000001 [7,3,6,1,5,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>000001 [7,3,6,1,5,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>000001 [7,3,6,2,1,4,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>000001 [7,3,6,2,1,5,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>000001 [7,3,6,2,4,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>000001 [7,3,6,2,4,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>000001 [7,3,6,2,5,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>000001 [7,3,6,2,5,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>000001 [7,3,6,4,1,2,5]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>000001 [7,3,6,4,1,5,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>000001 [7,3,6,4,2,1,5]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>000001 [7,3,6,4,2,5,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>000001 [7,3,6,4,5,1,2]=>[[[.,[.,.]],[[.,[.,.]],.]],.]=>[5,4,6,2,1,3,7]=>000001 [7,3,6,4,5,2,1]=>[[[[.,.],.],[[.,[.,.]],.]],.]=>[5,4,6,1,2,3,7]=>000001 [7,3,6,5,1,2,4]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>000001 [7,3,6,5,1,4,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>000001 [7,3,6,5,2,1,4]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>000001 [7,3,6,5,2,4,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>000001 [7,3,6,5,4,1,2]=>[[[.,[.,.]],[[[.,.],.],.]],.]=>[4,5,6,2,1,3,7]=>000001 [7,3,6,5,4,2,1]=>[[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>000001 [7,4,1,2,3,5,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>000001 [7,4,1,2,3,6,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>000001 [7,4,1,2,5,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>000001 [7,4,1,2,5,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>000001 [7,4,1,2,6,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>000001 [7,4,1,2,6,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>000001 [7,4,1,3,2,5,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>000001 [7,4,1,3,2,6,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>000001 [7,4,1,3,5,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>000001 [7,4,1,3,5,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>000001 [7,4,1,3,6,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>000001 [7,4,1,3,6,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>000001 [7,4,1,5,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>000001 [7,4,1,5,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>000001 [7,4,1,5,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>000001 [7,4,1,5,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>000001 [7,4,1,5,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>000001 [7,4,1,5,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>000001 [7,4,1,6,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>000001 [7,4,1,6,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>000001 [7,4,1,6,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>000001 [7,4,1,6,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>000001 [7,4,1,6,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>000001 [7,4,1,6,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>000001 [7,4,2,1,3,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,2,1,3,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,2,1,5,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,2,1,5,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,2,1,6,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,2,1,6,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,2,3,1,5,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,2,3,1,6,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,2,3,5,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,2,3,5,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,2,3,6,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,2,3,6,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,2,5,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,2,5,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,2,5,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,2,5,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,2,5,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,2,5,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,2,6,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,2,6,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,2,6,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,2,6,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,2,6,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,2,6,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,3,1,2,5,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>000001 [7,4,3,1,2,6,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>000001 [7,4,3,1,5,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>000001 [7,4,3,1,5,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>000001 [7,4,3,1,6,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>000001 [7,4,3,1,6,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>000001 [7,4,3,2,1,5,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>000001 [7,4,3,2,1,6,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>000001 [7,4,3,2,5,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>000001 [7,4,3,2,5,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>000001 [7,4,3,2,6,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>000001 [7,4,3,2,6,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>000001 [7,4,3,5,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>000001 [7,4,3,5,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>000001 [7,4,3,5,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>000001 [7,4,3,5,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>000001 [7,4,3,5,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>000001 [7,4,3,5,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>000001 [7,4,3,6,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>000001 [7,4,3,6,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>000001 [7,4,3,6,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>000001 [7,4,3,6,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>000001 [7,4,3,6,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>000001 [7,4,3,6,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>000001 [7,4,5,1,2,3,6]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>000001 [7,4,5,1,2,6,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>000001 [7,4,5,1,3,2,6]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>000001 [7,4,5,1,3,6,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>000001 [7,4,5,1,6,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>000001 [7,4,5,1,6,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>000001 [7,4,5,2,1,3,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,5,2,1,6,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,5,2,3,1,6]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,5,2,3,6,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,5,2,6,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,5,2,6,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,5,3,1,2,6]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>000001 [7,4,5,3,1,6,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>000001 [7,4,5,3,2,1,6]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>000001 [7,4,5,3,2,6,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>000001 [7,4,5,3,6,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>000001 [7,4,5,3,6,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>000001 [7,4,5,6,1,2,3]=>[[[.,[.,[.,.]]],[.,[.,.]]],.]=>[6,5,3,2,1,4,7]=>000001 [7,4,5,6,1,3,2]=>[[[.,[[.,.],.]],[.,[.,.]]],.]=>[6,5,2,3,1,4,7]=>000001 [7,4,5,6,2,1,3]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,5,6,2,3,1]=>[[[[.,.],[.,.]],[.,[.,.]]],.]=>[6,5,3,1,2,4,7]=>000001 [7,4,5,6,3,1,2]=>[[[[.,[.,.]],.],[.,[.,.]]],.]=>[6,5,2,1,3,4,7]=>000001 [7,4,5,6,3,2,1]=>[[[[[.,.],.],.],[.,[.,.]]],.]=>[6,5,1,2,3,4,7]=>000001 [7,4,6,1,2,3,5]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>000001 [7,4,6,1,2,5,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>000001 [7,4,6,1,3,2,5]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>000001 [7,4,6,1,3,5,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>000001 [7,4,6,1,5,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>000001 [7,4,6,1,5,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>000001 [7,4,6,2,1,3,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,6,2,1,5,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,6,2,3,1,5]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,6,2,3,5,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,6,2,5,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,6,2,5,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,6,3,1,2,5]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>000001 [7,4,6,3,1,5,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>000001 [7,4,6,3,2,1,5]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>000001 [7,4,6,3,2,5,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>000001 [7,4,6,3,5,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>000001 [7,4,6,3,5,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>000001 [7,4,6,5,1,2,3]=>[[[.,[.,[.,.]]],[[.,.],.]],.]=>[5,6,3,2,1,4,7]=>000001 [7,4,6,5,1,3,2]=>[[[.,[[.,.],.]],[[.,.],.]],.]=>[5,6,2,3,1,4,7]=>000001 [7,4,6,5,2,1,3]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,6,5,2,3,1]=>[[[[.,.],[.,.]],[[.,.],.]],.]=>[5,6,3,1,2,4,7]=>000001 [7,4,6,5,3,1,2]=>[[[[.,[.,.]],.],[[.,.],.]],.]=>[5,6,2,1,3,4,7]=>000001 [7,4,6,5,3,2,1]=>[[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>000001 [7,5,1,2,3,4,6]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>000001 [7,5,1,2,3,6,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>000001 [7,5,1,2,4,3,6]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>000001 [7,5,1,2,4,6,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>000001 [7,5,1,2,6,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>000001 [7,5,1,2,6,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>000001 [7,5,1,3,2,4,6]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>000001 [7,5,1,3,2,6,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>000001 [7,5,1,3,4,2,6]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>000001 [7,5,1,3,4,6,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>000001 [7,5,1,3,6,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>000001 [7,5,1,3,6,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>000001 [7,5,1,4,2,3,6]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>000001 [7,5,1,4,2,6,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>000001 [7,5,1,4,3,2,6]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>000001 [7,5,1,4,3,6,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>000001 [7,5,1,4,6,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>000001 [7,5,1,4,6,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>000001 [7,5,1,6,2,3,4]=>[[[.,[.,[.,[.,.]]]],[.,.]],.]=>[6,4,3,2,1,5,7]=>000001 [7,5,1,6,2,4,3]=>[[[.,[.,[[.,.],.]]],[.,.]],.]=>[6,3,4,2,1,5,7]=>000001 [7,5,1,6,3,2,4]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>000001 [7,5,1,6,3,4,2]=>[[[.,[[.,.],[.,.]]],[.,.]],.]=>[6,4,2,3,1,5,7]=>000001 [7,5,1,6,4,2,3]=>[[[.,[[.,[.,.]],.]],[.,.]],.]=>[6,3,2,4,1,5,7]=>000001 [7,5,1,6,4,3,2]=>[[[.,[[[.,.],.],.]],[.,.]],.]=>[6,2,3,4,1,5,7]=>000001 [7,5,2,1,3,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>000001 [7,5,2,1,3,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>000001 [7,5,2,1,4,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>000001 [7,5,2,1,4,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>000001 [7,5,2,1,6,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>000001 [7,5,2,1,6,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>000001 [7,5,2,3,1,4,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>000001 [7,5,2,3,1,6,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>000001 [7,5,2,3,4,1,6]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>000001 [7,5,2,3,4,6,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>000001 [7,5,2,3,6,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>000001 [7,5,2,3,6,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>000001 [7,5,2,4,1,3,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>000001 [7,5,2,4,1,6,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>000001 [7,5,2,4,3,1,6]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>000001 [7,5,2,4,3,6,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>000001 [7,5,2,4,6,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>000001 [7,5,2,4,6,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>000001 [7,5,2,6,1,3,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>000001 [7,5,2,6,1,4,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>000001 [7,5,2,6,3,1,4]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>000001 [7,5,2,6,3,4,1]=>[[[[.,.],[.,[.,.]]],[.,.]],.]=>[6,4,3,1,2,5,7]=>000001 [7,5,2,6,4,1,3]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>000001 [7,5,2,6,4,3,1]=>[[[[.,.],[[.,.],.]],[.,.]],.]=>[6,3,4,1,2,5,7]=>000001 [7,5,3,1,2,4,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>000001 [7,5,3,1,2,6,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>000001 [7,5,3,1,4,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>000001 [7,5,3,1,4,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>000001 [7,5,3,1,6,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>000001 [7,5,3,1,6,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>000001 [7,5,3,2,1,4,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>000001 [7,5,3,2,1,6,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>000001 [7,5,3,2,4,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>000001 [7,5,3,2,4,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>000001 [7,5,3,2,6,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>000001 [7,5,3,2,6,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>000001 [7,5,3,4,1,2,6]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>000001 [7,5,3,4,1,6,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>000001 [7,5,3,4,2,1,6]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>000001 [7,5,3,4,2,6,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>000001 [7,5,3,4,6,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>000001 [7,5,3,4,6,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>000001 [7,5,3,6,1,2,4]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>000001 [7,5,3,6,1,4,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>000001 [7,5,3,6,2,1,4]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>000001 [7,5,3,6,2,4,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>000001 [7,5,3,6,4,1,2]=>[[[[.,[.,.]],[.,.]],[.,.]],.]=>[6,4,2,1,3,5,7]=>000001 [7,5,3,6,4,2,1]=>[[[[[.,.],.],[.,.]],[.,.]],.]=>[6,4,1,2,3,5,7]=>000001 [7,5,4,1,2,3,6]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>000001 [7,5,4,1,2,6,3]=>[[[[.,[.,[.,.]]],.],[.,.]],.]=>[6,3,2,1,4,5,7]=>000001 [7,5,4,1,3,2,6]=>[[[[.,[[.,.],.]],.],[.,.]],.]=>[6,2,3,1,4,5,7]=>000001 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[7,6,3,2,5,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>000011 [7,6,3,4,1,2,5]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>000011 [7,6,3,4,1,5,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>000011 [7,6,3,4,2,1,5]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>000011 [7,6,3,4,2,5,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>000011 [7,6,3,4,5,1,2]=>[[[[.,[.,.]],[.,[.,.]]],.],.]=>[5,4,2,1,3,6,7]=>000011 [7,6,3,4,5,2,1]=>[[[[[.,.],.],[.,[.,.]]],.],.]=>[5,4,1,2,3,6,7]=>000011 [7,6,3,5,1,2,4]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>000011 [7,6,3,5,1,4,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>000011 [7,6,3,5,2,1,4]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>000011 [7,6,3,5,2,4,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>000011 [7,6,3,5,4,1,2]=>[[[[.,[.,.]],[[.,.],.]],.],.]=>[4,5,2,1,3,6,7]=>000011 [7,6,3,5,4,2,1]=>[[[[[.,.],.],[[.,.],.]],.],.]=>[4,5,1,2,3,6,7]=>000011 [7,6,4,1,2,3,5]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>000011 [7,6,4,1,2,5,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>000011 [7,6,4,1,3,2,5]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>000011 [7,6,4,1,3,5,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>000011 [7,6,4,1,5,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>000011 [7,6,4,1,5,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>000011 [7,6,4,2,1,3,5]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>000011 [7,6,4,2,1,5,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>000011 [7,6,4,2,3,1,5]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>000011 [7,6,4,2,3,5,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>000011 [7,6,4,2,5,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>000011 [7,6,4,2,5,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>000011 [7,6,4,3,1,2,5]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>000011 [7,6,4,3,1,5,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>000011 [7,6,4,3,2,1,5]=>[[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>000011 [7,6,4,3,2,5,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>000011 [7,6,4,3,5,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>000011 [7,6,4,3,5,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>000011 [7,6,4,5,1,2,3]=>[[[[.,[.,[.,.]]],[.,.]],.],.]=>[5,3,2,1,4,6,7]=>000011 [7,6,4,5,1,3,2]=>[[[[.,[[.,.],.]],[.,.]],.],.]=>[5,2,3,1,4,6,7]=>000011 [7,6,4,5,2,1,3]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>000011 [7,6,4,5,2,3,1]=>[[[[[.,.],[.,.]],[.,.]],.],.]=>[5,3,1,2,4,6,7]=>000011 [7,6,4,5,3,1,2]=>[[[[[.,[.,.]],.],[.,.]],.],.]=>[5,2,1,3,4,6,7]=>000011 [7,6,4,5,3,2,1]=>[[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>000011 [7,6,5,1,2,3,4]=>[[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>000111 [7,6,5,1,2,4,3]=>[[[[.,[.,[[.,.],.]]],.],.],.]=>[3,4,2,1,5,6,7]=>000111 [7,6,5,1,3,2,4]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>000111 [7,6,5,1,3,4,2]=>[[[[.,[[.,.],[.,.]]],.],.],.]=>[4,2,3,1,5,6,7]=>000111 [7,6,5,1,4,2,3]=>[[[[.,[[.,[.,.]],.]],.],.],.]=>[3,2,4,1,5,6,7]=>000111 [7,6,5,1,4,3,2]=>[[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>000111 [7,6,5,2,1,3,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>000111 [7,6,5,2,1,4,3]=>[[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>000111 [7,6,5,2,3,1,4]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>000111 [7,6,5,2,3,4,1]=>[[[[[.,.],[.,[.,.]]],.],.],.]=>[4,3,1,2,5,6,7]=>000111 [7,6,5,2,4,1,3]=>[[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>000111 [7,6,5,2,4,3,1]=>[[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>000111 [7,6,5,3,1,2,4]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>000111 [7,6,5,3,1,4,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>000111 [7,6,5,3,2,1,4]=>[[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>000111 [7,6,5,3,2,4,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>000111 [7,6,5,3,4,1,2]=>[[[[[.,[.,.]],[.,.]],.],.],.]=>[4,2,1,3,5,6,7]=>000111 [7,6,5,3,4,2,1]=>[[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>000111 [7,6,5,4,1,2,3]=>[[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>001111 [7,6,5,4,1,3,2]=>[[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>001111 [7,6,5,4,2,1,3]=>[[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>001111 [7,6,5,4,2,3,1]=>[[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>001111 [7,6,5,4,3,1,2]=>[[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>011111 [7,6,5,4,3,2,1]=>[[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>111111 [8,7,6,5,4,3,2,1]=>[[[[[[[[.,.],.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7,8]=>1111111 [1,2,3,4,5,6,7,8]=>[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>0000000 [2,1,8,7,6,5,4,3]=>[[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>0000000 [4,3,2,1,8,7,6,5]=>[[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>0000000 [2,1,4,3,8,7,6,5]=>[[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>0000000 [3,2,1,4,5,8,7,6]=>[[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>0000000 [6,5,4,3,2,1,8,7]=>[[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>0000000 [2,1,6,5,4,3,8,7]=>[[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>0000000 [4,3,2,1,6,5,8,7]=>[[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>0000000 [2,1,4,3,6,5,8,7]=>[[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>0000000 [2,1,3,4,5,6,8,7]=>[[.,.],[.,[.,[.,[.,[[.,.],.]]]]]]=>[7,8,6,5,4,3,1,2]=>0000000 [1,4,3,2,7,6,5,8]=>[.,[[[.,.],.],[[[.,.],.],[.,.]]]]=>[8,5,6,7,2,3,4,1]=>0000000 [1,3,2,4,5,7,6,8]=>[.,[[.,.],[.,[.,[[.,.],[.,.]]]]]]=>[8,6,7,5,4,2,3,1]=>0000000 [1,2,4,3,6,5,7,8]=>[.,[.,[[.,.],[[.,.],[.,[.,.]]]]]]=>[8,7,5,6,3,4,2,1]=>0000000 [3,1,2,4,5,8,6,7]=>[[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>0000000 [1,4,2,3,7,5,6,8]=>[.,[[.,[.,.]],[[.,[.,.]],[.,.]]]]=>[8,6,5,7,3,2,4,1]=>0000000 [4,1,2,3,8,5,6,7]=>[[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>0000000 [4,8,6,1,7,3,5,2]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>0000000 [4,1,3,2,8,6,5,7]=>[[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>0000000 [4,3,1,2,8,7,5,6]=>[[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>0000000 [4,2,1,3,8,5,7,6]=>[[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>0000000
Map
binary search tree: left to right
Description
Return the shape of the binary search tree of the permutation as a non labelled binary tree.
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
connectivity set
Description
The connectivity set of a permutation as a binary word.
According to [2], also known as the global ascent set.
The connectivity set is
$$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$$
For $n > 1$ it can also be described as the set of occurrences of the mesh pattern
$$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$$
or equivalently
$$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$$
see [3].
The permutation is connected, when the connectivity set is empty.