Identifier
Values
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>0 [.,[.,.]]=>[2,1]=>0 [[.,.],.]=>[1,2]=>1 [.,[.,[.,.]]]=>[3,2,1]=>0 [.,[[.,.],.]]=>[2,3,1]=>1 [[.,.],[.,.]]=>[3,1,2]=>1 [[.,[.,.]],.]=>[2,1,3]=>1 [[[.,.],.],.]=>[1,2,3]=>2 [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>0 [.,[.,[[.,.],.]]]=>[3,4,2,1]=>1 [.,[[.,.],[.,.]]]=>[4,2,3,1]=>1 [.,[[.,[.,.]],.]]=>[3,2,4,1]=>1 [.,[[[.,.],.],.]]=>[2,3,4,1]=>2 [[.,.],[.,[.,.]]]=>[4,3,1,2]=>1 [[.,.],[[.,.],.]]=>[3,4,1,2]=>2 [[.,[.,.]],[.,.]]=>[4,2,1,3]=>1 [[[.,.],.],[.,.]]=>[4,1,2,3]=>2 [[.,[.,[.,.]]],.]=>[3,2,1,4]=>1 [[.,[[.,.],.]],.]=>[2,3,1,4]=>2 [[[.,.],[.,.]],.]=>[3,1,2,4]=>2 [[[.,[.,.]],.],.]=>[2,1,3,4]=>2 [[[[.,.],.],.],.]=>[1,2,3,4]=>3 [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>0 [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>1 [.,[.,[[.,.],[.,.]]]]=>[5,3,4,2,1]=>1 [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>1 [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>2 [.,[[.,.],[.,[.,.]]]]=>[5,4,2,3,1]=>1 [.,[[.,.],[[.,.],.]]]=>[4,5,2,3,1]=>2 [.,[[.,[.,.]],[.,.]]]=>[5,3,2,4,1]=>1 [.,[[[.,.],.],[.,.]]]=>[5,2,3,4,1]=>2 [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>1 [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>2 [.,[[[.,.],[.,.]],.]]=>[4,2,3,5,1]=>2 [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>2 [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>3 [[.,.],[.,[.,[.,.]]]]=>[5,4,3,1,2]=>1 [[.,.],[.,[[.,.],.]]]=>[4,5,3,1,2]=>2 [[.,.],[[.,.],[.,.]]]=>[5,3,4,1,2]=>2 [[.,.],[[.,[.,.]],.]]=>[4,3,5,1,2]=>2 [[.,.],[[[.,.],.],.]]=>[3,4,5,1,2]=>3 [[.,[.,.]],[.,[.,.]]]=>[5,4,2,1,3]=>1 [[.,[.,.]],[[.,.],.]]=>[4,5,2,1,3]=>2 [[[.,.],.],[.,[.,.]]]=>[5,4,1,2,3]=>2 [[[.,.],.],[[.,.],.]]=>[4,5,1,2,3]=>3 [[.,[.,[.,.]]],[.,.]]=>[5,3,2,1,4]=>1 [[.,[[.,.],.]],[.,.]]=>[5,2,3,1,4]=>2 [[[.,.],[.,.]],[.,.]]=>[5,3,1,2,4]=>2 [[[.,[.,.]],.],[.,.]]=>[5,2,1,3,4]=>2 [[[[.,.],.],.],[.,.]]=>[5,1,2,3,4]=>3 [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>1 [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>2 [[.,[[.,.],[.,.]]],.]=>[4,2,3,1,5]=>2 [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>2 [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>3 [[[.,.],[.,[.,.]]],.]=>[4,3,1,2,5]=>2 [[[.,.],[[.,.],.]],.]=>[3,4,1,2,5]=>3 [[[.,[.,.]],[.,.]],.]=>[4,2,1,3,5]=>2 [[[[.,.],.],[.,.]],.]=>[4,1,2,3,5]=>3 [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>2 [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>3 [[[[.,.],[.,.]],.],.]=>[3,1,2,4,5]=>3 [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>3 [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>4 [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>0 [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>1 [.,[.,[.,[[.,.],[.,.]]]]]=>[6,4,5,3,2,1]=>1 [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>1 [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>2 [.,[.,[[.,.],[.,[.,.]]]]]=>[6,5,3,4,2,1]=>1 [.,[.,[[.,.],[[.,.],.]]]]=>[5,6,3,4,2,1]=>2 [.,[.,[[.,[.,.]],[.,.]]]]=>[6,4,3,5,2,1]=>1 [.,[.,[[[.,.],.],[.,.]]]]=>[6,3,4,5,2,1]=>2 [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>1 [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>2 [.,[.,[[[.,.],[.,.]],.]]]=>[5,3,4,6,2,1]=>2 [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>2 [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>3 [.,[[.,.],[.,[.,[.,.]]]]]=>[6,5,4,2,3,1]=>1 [.,[[.,.],[.,[[.,.],.]]]]=>[5,6,4,2,3,1]=>2 [.,[[.,.],[[.,.],[.,.]]]]=>[6,4,5,2,3,1]=>2 [.,[[.,.],[[.,[.,.]],.]]]=>[5,4,6,2,3,1]=>2 [.,[[.,.],[[[.,.],.],.]]]=>[4,5,6,2,3,1]=>3 [.,[[.,[.,.]],[.,[.,.]]]]=>[6,5,3,2,4,1]=>1 [.,[[.,[.,.]],[[.,.],.]]]=>[5,6,3,2,4,1]=>2 [.,[[[.,.],.],[.,[.,.]]]]=>[6,5,2,3,4,1]=>2 [.,[[[.,.],.],[[.,.],.]]]=>[5,6,2,3,4,1]=>3 [.,[[.,[.,[.,.]]],[.,.]]]=>[6,4,3,2,5,1]=>1 [.,[[.,[[.,.],.]],[.,.]]]=>[6,3,4,2,5,1]=>2 [.,[[[.,.],[.,.]],[.,.]]]=>[6,4,2,3,5,1]=>2 [.,[[[.,[.,.]],.],[.,.]]]=>[6,3,2,4,5,1]=>2 [.,[[[[.,.],.],.],[.,.]]]=>[6,2,3,4,5,1]=>3 [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>1 [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>2 [.,[[.,[[.,.],[.,.]]],.]]=>[5,3,4,2,6,1]=>2 [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>2 [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>3 [.,[[[.,.],[.,[.,.]]],.]]=>[5,4,2,3,6,1]=>2 [.,[[[.,.],[[.,.],.]],.]]=>[4,5,2,3,6,1]=>3 [.,[[[.,[.,.]],[.,.]],.]]=>[5,3,2,4,6,1]=>2 [.,[[[[.,.],.],[.,.]],.]]=>[5,2,3,4,6,1]=>3 [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>2 [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>3 [.,[[[[.,.],[.,.]],.],.]]=>[4,2,3,5,6,1]=>3 [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>3 [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>4 [[.,.],[.,[.,[.,[.,.]]]]]=>[6,5,4,3,1,2]=>1 [[.,.],[.,[.,[[.,.],.]]]]=>[5,6,4,3,1,2]=>2 [[.,.],[.,[[.,.],[.,.]]]]=>[6,4,5,3,1,2]=>2 [[.,.],[.,[[.,[.,.]],.]]]=>[5,4,6,3,1,2]=>2 [[.,.],[.,[[[.,.],.],.]]]=>[4,5,6,3,1,2]=>3 [[.,.],[[.,.],[.,[.,.]]]]=>[6,5,3,4,1,2]=>2 [[.,.],[[.,.],[[.,.],.]]]=>[5,6,3,4,1,2]=>3 [[.,.],[[.,[.,.]],[.,.]]]=>[6,4,3,5,1,2]=>2 [[.,.],[[[.,.],.],[.,.]]]=>[6,3,4,5,1,2]=>3 [[.,.],[[.,[.,[.,.]]],.]]=>[5,4,3,6,1,2]=>2 [[.,.],[[.,[[.,.],.]],.]]=>[4,5,3,6,1,2]=>3 [[.,.],[[[.,.],[.,.]],.]]=>[5,3,4,6,1,2]=>3 [[.,.],[[[.,[.,.]],.],.]]=>[4,3,5,6,1,2]=>3 [[.,.],[[[[.,.],.],.],.]]=>[3,4,5,6,1,2]=>4 [[.,[.,.]],[.,[.,[.,.]]]]=>[6,5,4,2,1,3]=>1 [[.,[.,.]],[.,[[.,.],.]]]=>[5,6,4,2,1,3]=>2 [[.,[.,.]],[[.,.],[.,.]]]=>[6,4,5,2,1,3]=>2 [[.,[.,.]],[[.,[.,.]],.]]=>[5,4,6,2,1,3]=>2 [[.,[.,.]],[[[.,.],.],.]]=>[4,5,6,2,1,3]=>3 [[[.,.],.],[.,[.,[.,.]]]]=>[6,5,4,1,2,3]=>2 [[[.,.],.],[.,[[.,.],.]]]=>[5,6,4,1,2,3]=>3 [[[.,.],.],[[.,.],[.,.]]]=>[6,4,5,1,2,3]=>3 [[[.,.],.],[[.,[.,.]],.]]=>[5,4,6,1,2,3]=>3 [[[.,.],.],[[[.,.],.],.]]=>[4,5,6,1,2,3]=>4 [[.,[.,[.,.]]],[.,[.,.]]]=>[6,5,3,2,1,4]=>1 [[.,[.,[.,.]]],[[.,.],.]]=>[5,6,3,2,1,4]=>2 [[.,[[.,.],.]],[.,[.,.]]]=>[6,5,2,3,1,4]=>2 [[.,[[.,.],.]],[[.,.],.]]=>[5,6,2,3,1,4]=>3 [[[.,.],[.,.]],[.,[.,.]]]=>[6,5,3,1,2,4]=>2 [[[.,.],[.,.]],[[.,.],.]]=>[5,6,3,1,2,4]=>3 [[[.,[.,.]],.],[.,[.,.]]]=>[6,5,2,1,3,4]=>2 [[[.,[.,.]],.],[[.,.],.]]=>[5,6,2,1,3,4]=>3 [[[[.,.],.],.],[.,[.,.]]]=>[6,5,1,2,3,4]=>3 [[[[.,.],.],.],[[.,.],.]]=>[5,6,1,2,3,4]=>4 [[.,[.,[.,[.,.]]]],[.,.]]=>[6,4,3,2,1,5]=>1 [[.,[.,[[.,.],.]]],[.,.]]=>[6,3,4,2,1,5]=>2 [[.,[[.,.],[.,.]]],[.,.]]=>[6,4,2,3,1,5]=>2 [[.,[[.,[.,.]],.]],[.,.]]=>[6,3,2,4,1,5]=>2 [[.,[[[.,.],.],.]],[.,.]]=>[6,2,3,4,1,5]=>3 [[[.,.],[.,[.,.]]],[.,.]]=>[6,4,3,1,2,5]=>2 [[[.,.],[[.,.],.]],[.,.]]=>[6,3,4,1,2,5]=>3 [[[.,[.,.]],[.,.]],[.,.]]=>[6,4,2,1,3,5]=>2 [[[[.,.],.],[.,.]],[.,.]]=>[6,4,1,2,3,5]=>3 [[[.,[.,[.,.]]],.],[.,.]]=>[6,3,2,1,4,5]=>2 [[[.,[[.,.],.]],.],[.,.]]=>[6,2,3,1,4,5]=>3 [[[[.,.],[.,.]],.],[.,.]]=>[6,3,1,2,4,5]=>3 [[[[.,[.,.]],.],.],[.,.]]=>[6,2,1,3,4,5]=>3 [[[[[.,.],.],.],.],[.,.]]=>[6,1,2,3,4,5]=>4 [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>1 [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>2 [[.,[.,[[.,.],[.,.]]]],.]=>[5,3,4,2,1,6]=>2 [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>2 [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>3 [[.,[[.,.],[.,[.,.]]]],.]=>[5,4,2,3,1,6]=>2 [[.,[[.,.],[[.,.],.]]],.]=>[4,5,2,3,1,6]=>3 [[.,[[.,[.,.]],[.,.]]],.]=>[5,3,2,4,1,6]=>2 [[.,[[[.,.],.],[.,.]]],.]=>[5,2,3,4,1,6]=>3 [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>2 [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>3 [[.,[[[.,.],[.,.]],.]],.]=>[4,2,3,5,1,6]=>3 [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>3 [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>4 [[[.,.],[.,[.,[.,.]]]],.]=>[5,4,3,1,2,6]=>2 [[[.,.],[.,[[.,.],.]]],.]=>[4,5,3,1,2,6]=>3 [[[.,.],[[.,.],[.,.]]],.]=>[5,3,4,1,2,6]=>3 [[[.,.],[[.,[.,.]],.]],.]=>[4,3,5,1,2,6]=>3 [[[.,.],[[[.,.],.],.]],.]=>[3,4,5,1,2,6]=>4 [[[.,[.,.]],[.,[.,.]]],.]=>[5,4,2,1,3,6]=>2 [[[.,[.,.]],[[.,.],.]],.]=>[4,5,2,1,3,6]=>3 [[[[.,.],.],[.,[.,.]]],.]=>[5,4,1,2,3,6]=>3 [[[[.,.],.],[[.,.],.]],.]=>[4,5,1,2,3,6]=>4 [[[.,[.,[.,.]]],[.,.]],.]=>[5,3,2,1,4,6]=>2 [[[.,[[.,.],.]],[.,.]],.]=>[5,2,3,1,4,6]=>3 [[[[.,.],[.,.]],[.,.]],.]=>[5,3,1,2,4,6]=>3 [[[[.,[.,.]],.],[.,.]],.]=>[5,2,1,3,4,6]=>3 [[[[[.,.],.],.],[.,.]],.]=>[5,1,2,3,4,6]=>4 [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>2 [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>3 [[[.,[[.,.],[.,.]]],.],.]=>[4,2,3,1,5,6]=>3 [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>3 [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>4 [[[[.,.],[.,[.,.]]],.],.]=>[4,3,1,2,5,6]=>3 [[[[.,.],[[.,.],.]],.],.]=>[3,4,1,2,5,6]=>4 [[[[.,[.,.]],[.,.]],.],.]=>[4,2,1,3,5,6]=>3 [[[[[.,.],.],[.,.]],.],.]=>[4,1,2,3,5,6]=>4 [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>3 [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>4 [[[[[.,.],[.,.]],.],.],.]=>[3,1,2,4,5,6]=>4 [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>4 [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>5 [.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>[7,6,5,4,3,2,1]=>0 [.,[[.,[[[[.,.],.],.],.]],.]]=>[3,4,5,6,2,7,1]=>4 [.,[[[[[.,.],.],.],[.,.]],.]]=>[6,2,3,4,5,7,1]=>4 [.,[[[.,[[.,[.,.]],.]],.],.]]=>[4,3,5,2,6,7,1]=>3 [.,[[[.,[[[.,.],.],.]],.],.]]=>[3,4,5,2,6,7,1]=>4 [.,[[[[.,.],[[.,.],.]],.],.]]=>[4,5,2,3,6,7,1]=>4 [.,[[[[.,[.,.]],[.,.]],.],.]]=>[5,3,2,4,6,7,1]=>3 [.,[[[[[.,.],.],[.,.]],.],.]]=>[5,2,3,4,6,7,1]=>4 [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>3 [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>4 [.,[[[[[.,.],[.,.]],.],.],.]]=>[4,2,3,5,6,7,1]=>4 [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>4 [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>5 [[.,.],[.,[.,[.,[.,[.,.]]]]]]=>[7,6,5,4,3,1,2]=>1 [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[7,6,5,3,4,1,2]=>2 [[.,.],[[.,.],[[.,.],[.,.]]]]=>[7,5,6,3,4,1,2]=>3 [[.,.],[[.,.],[[.,[.,.]],.]]]=>[6,5,7,3,4,1,2]=>3 [[.,.],[[[[[.,.],.],.],.],.]]=>[3,4,5,6,7,1,2]=>5 [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[7,6,5,4,1,2,3]=>2 [[[.,.],.],[[.,.],[.,[.,.]]]]=>[7,6,4,5,1,2,3]=>3 [[[.,.],.],[[.,.],[[.,.],.]]]=>[6,7,4,5,1,2,3]=>4 [[[.,.],.],[[[.,.],.],[.,.]]]=>[7,4,5,6,1,2,3]=>4 [[[.,.],.],[[[.,.],[.,.]],.]]=>[6,4,5,7,1,2,3]=>4 [[[.,.],.],[[[.,[.,.]],.],.]]=>[5,4,6,7,1,2,3]=>4 [[[[.,.],.],.],[.,[.,[.,.]]]]=>[7,6,5,1,2,3,4]=>3 [[[[.,.],.],.],[[.,.],[.,.]]]=>[7,5,6,1,2,3,4]=>4 [[[[.,.],.],.],[[[.,.],.],.]]=>[5,6,7,1,2,3,4]=>5 [[[.,.],[[.,.],.]],[[.,.],.]]=>[6,7,3,4,1,2,5]=>4 [[[[[.,.],.],.],.],[.,[.,.]]]=>[7,6,1,2,3,4,5]=>4 [[[[[.,.],.],.],.],[[.,.],.]]=>[6,7,1,2,3,4,5]=>5 [[.,[[[[.,.],.],.],.]],[.,.]]=>[7,2,3,4,5,1,6]=>4 [[[[[.,.],.],.],[.,.]],[.,.]]=>[7,5,1,2,3,4,6]=>4 [[[.,[[.,[.,.]],.]],.],[.,.]]=>[7,3,2,4,1,5,6]=>3 [[[.,[[[.,.],.],.]],.],[.,.]]=>[7,2,3,4,1,5,6]=>4 [[[[.,.],[[.,.],.]],.],[.,.]]=>[7,3,4,1,2,5,6]=>4 [[[[.,[.,.]],[.,.]],.],[.,.]]=>[7,4,2,1,3,5,6]=>3 [[[[[.,.],.],[.,.]],.],[.,.]]=>[7,4,1,2,3,5,6]=>4 [[[[.,[.,[.,.]]],.],.],[.,.]]=>[7,3,2,1,4,5,6]=>3 [[[[.,[[.,.],.]],.],.],[.,.]]=>[7,2,3,1,4,5,6]=>4 [[[[[.,.],[.,.]],.],.],[.,.]]=>[7,3,1,2,4,5,6]=>4 [[[[[.,[.,.]],.],.],.],[.,.]]=>[7,2,1,3,4,5,6]=>4 [[[[[[.,.],.],.],.],.],[.,.]]=>[7,1,2,3,4,5,6]=>5 [[.,[.,[.,[.,[.,[.,.]]]]]],.]=>[6,5,4,3,2,1,7]=>1 [[.,[.,[.,[.,[[.,.],.]]]]],.]=>[5,6,4,3,2,1,7]=>2 [[.,[.,[.,[[.,[.,.]],.]]]],.]=>[5,4,6,3,2,1,7]=>2 [[.,[.,[.,[[[.,.],.],.]]]],.]=>[4,5,6,3,2,1,7]=>3 [[.,[.,[[.,.],[.,[.,.]]]]],.]=>[6,5,3,4,2,1,7]=>2 [[.,[.,[[.,[.,.]],[.,.]]]],.]=>[6,4,3,5,2,1,7]=>2 [[.,[.,[[[.,.],.],[.,.]]]],.]=>[6,3,4,5,2,1,7]=>3 [[.,[.,[[.,[.,[.,.]]],.]]],.]=>[5,4,3,6,2,1,7]=>2 [[.,[.,[[.,[[.,.],.]],.]]],.]=>[4,5,3,6,2,1,7]=>3 [[.,[[.,[.,[.,.]]],[.,.]]],.]=>[6,4,3,2,5,1,7]=>2 [[.,[[.,[[.,.],.]],[.,.]]],.]=>[6,3,4,2,5,1,7]=>3 [[.,[[.,[.,[.,[.,.]]]],.]],.]=>[5,4,3,2,6,1,7]=>2 [[.,[[[[[.,.],.],.],.],.]],.]=>[2,3,4,5,6,1,7]=>5 [[[.,.],[[.,.],[[.,.],.]]],.]=>[5,6,3,4,1,2,7]=>4 [[[[.,.],.],[[[.,.],.],.]],.]=>[4,5,6,1,2,3,7]=>5 [[[[[.,.],.],.],[[.,.],.]],.]=>[5,6,1,2,3,4,7]=>5 [[[[[[.,.],.],.],.],[.,.]],.]=>[6,1,2,3,4,5,7]=>5 [[[.,[.,[.,[.,[.,.]]]]],.],.]=>[5,4,3,2,1,6,7]=>2 [[[.,[[[[.,.],.],.],.]],.],.]=>[2,3,4,5,1,6,7]=>5 [[[[[[.,.],.],.],[.,.]],.],.]=>[5,1,2,3,4,6,7]=>5 [[[[.,[.,[.,[.,.]]]],.],.],.]=>[4,3,2,1,5,6,7]=>3 [[[[.,[[[.,.],.],.]],.],.],.]=>[2,3,4,1,5,6,7]=>5 [[[[[.,.],[[.,.],.]],.],.],.]=>[3,4,1,2,5,6,7]=>5 [[[[[[.,.],.],[.,.]],.],.],.]=>[4,1,2,3,5,6,7]=>5 [[[[[.,[.,[.,.]]],.],.],.],.]=>[3,2,1,4,5,6,7]=>4 [[[[[.,[[.,.],.]],.],.],.],.]=>[2,3,1,4,5,6,7]=>5 [[[[[[.,.],[.,.]],.],.],.],.]=>[3,1,2,4,5,6,7]=>5 [[[[[[.,[.,.]],.],.],.],.],.]=>[2,1,3,4,5,6,7]=>5 [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>6 [.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[8,7,6,5,4,3,2,1]=>0 [.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]]=>[7,6,8,5,4,3,2,1]=>1 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[[.,.],[[.,.],[[.,.],[.,[.,.]]]]]=>[8,7,5,6,3,4,1,2]=>3 [[.,.],[[.,.],[[.,.],[[.,.],.]]]]=>[7,8,5,6,3,4,1,2]=>4 [[.,.],[[.,.],[[[[.,.],.],.],.]]]=>[5,6,7,8,3,4,1,2]=>5 [[.,.],[[[[.,.],.],.],[[.,.],.]]]=>[7,8,3,4,5,6,1,2]=>5 [[.,.],[[[[[[.,.],.],.],.],.],.]]=>[3,4,5,6,7,8,1,2]=>6 [[.,[.,.]],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,2,1,3]=>1 [[.,[.,.]],[.,[.,[[.,[.,.]],.]]]]=>[7,6,8,5,4,2,1,3]=>2 [[[.,.],.],[.,[.,[.,[.,[.,.]]]]]]=>[8,7,6,5,4,1,2,3]=>2 [[[.,.],.],[.,[.,[[[.,.],.],.]]]]=>[6,7,8,5,4,1,2,3]=>4 [[[.,.],.],[.,[[[.,.],.],[.,.]]]]=>[8,5,6,7,4,1,2,3]=>4 [[[.,.],.],[[.,.],[.,[.,[.,.]]]]]=>[8,7,6,4,5,1,2,3]=>3 [[[.,.],.],[[.,.],[[.,.],[.,.]]]]=>[8,6,7,4,5,1,2,3]=>4 [[[.,.],.],[[[.,.],.],[.,[.,.]]]]=>[8,7,4,5,6,1,2,3]=>4 [[[.,.],.],[[[.,.],.],[[.,.],.]]]=>[7,8,4,5,6,1,2,3]=>5 [[[.,.],.],[[[.,.],[[.,.],.]],.]]=>[6,7,4,5,8,1,2,3]=>5 [[.,[.,[.,.]]],[[.,[.,[.,.]]],.]]=>[7,6,5,8,3,2,1,4]=>2 [[.,[[.,.],.]],[[[.,.],[.,.]],.]]=>[7,5,6,8,2,3,1,4]=>4 [[[.,.],[.,.]],[[.,[[.,.],.]],.]]=>[6,7,5,8,3,1,2,4]=>4 [[[.,[.,.]],.],[[[.,[.,.]],.],.]]=>[6,5,7,8,2,1,3,4]=>4 [[[[.,.],.],.],[.,[.,[.,[.,.]]]]]=>[8,7,6,5,1,2,3,4]=>3 [[[[.,.],.],.],[[.,.],[.,[.,.]]]]=>[8,7,5,6,1,2,3,4]=>4 [[[[.,.],.],.],[[.,.],[[.,.],.]]]=>[7,8,5,6,1,2,3,4]=>5 [[[[.,.],.],.],[[[.,.],.],[.,.]]]=>[8,5,6,7,1,2,3,4]=>5 [[[[.,.],.],.],[[[[.,.],.],.],.]]=>[5,6,7,8,1,2,3,4]=>6 [[.,[.,[.,[.,.]]]],[.,[.,[.,.]]]]=>[8,7,6,4,3,2,1,5]=>1 [[[.,[.,.]],[.,.]],[.,[.,[.,.]]]]=>[8,7,6,4,2,1,3,5]=>2 [[[[[.,.],.],.],.],[.,[.,[.,.]]]]=>[8,7,6,1,2,3,4,5]=>4 [[[[[.,.],.],.],.],[[.,.],[.,.]]]=>[8,6,7,1,2,3,4,5]=>5 [[[[[.,.],.],.],.],[[[.,.],.],.]]=>[6,7,8,1,2,3,4,5]=>6 [[[.,[.,.]],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,2,1,3,6]=>3 [[[[.,.],.],[.,[.,.]]],[[.,.],.]]=>[7,8,5,4,1,2,3,6]=>4 [[[[[[.,.],.],.],.],.],[.,[.,.]]]=>[8,7,1,2,3,4,5,6]=>5 [[[[[[.,.],.],.],.],.],[[.,.],.]]=>[7,8,1,2,3,4,5,6]=>6 [[.,[.,[.,[.,[.,[.,.]]]]]],[.,.]]=>[8,6,5,4,3,2,1,7]=>1 [[[.,.],[.,[.,[.,[.,.]]]]],[.,.]]=>[8,6,5,4,3,1,2,7]=>2 [[[.,.],[[.,.],[[.,.],.]]],[.,.]]=>[8,5,6,3,4,1,2,7]=>4 [[[.,[.,.]],[.,[.,[.,.]]]],[.,.]]=>[8,6,5,4,2,1,3,7]=>2 [[[.,[.,[.,[.,.]]]],[.,.]],[.,.]]=>[8,6,4,3,2,1,5,7]=>2 [[[[.,[.,.]],[.,.]],[.,.]],[.,.]]=>[8,6,4,2,1,3,5,7]=>3 [[[[.,[[[.,.],.],.]],.],.],[.,.]]=>[8,2,3,4,1,5,6,7]=>5 [[[[[[.,.],.],[.,.]],.],.],[.,.]]=>[8,4,1,2,3,5,6,7]=>5 [[[[[.,[.,[.,.]]],.],.],.],[.,.]]=>[8,3,2,1,4,5,6,7]=>4 [[[[[.,[[.,.],.]],.],.],.],[.,.]]=>[8,2,3,1,4,5,6,7]=>5 [[[[[[.,.],[.,.]],.],.],.],[.,.]]=>[8,3,1,2,4,5,6,7]=>5 [[[[[[.,[.,.]],.],.],.],.],[.,.]]=>[8,2,1,3,4,5,6,7]=>5 [[[[[[[.,.],.],.],.],.],.],[.,.]]=>[8,1,2,3,4,5,6,7]=>6 [[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.]=>[7,6,5,4,3,2,1,8]=>1 [[.,[.,[.,[.,[.,[[.,.],.]]]]]],.]=>[6,7,5,4,3,2,1,8]=>2 [[.,[.,[.,[.,[[.,[.,.]],.]]]]],.]=>[6,5,7,4,3,2,1,8]=>2 [[.,[.,[.,[.,[[[.,.],.],.]]]]],.]=>[5,6,7,4,3,2,1,8]=>3 [[.,[.,[.,[[.,.],[.,[.,.]]]]]],.]=>[7,6,4,5,3,2,1,8]=>2 [[.,[.,[.,[[.,[.,[.,.]]],.]]]],.]=>[6,5,4,7,3,2,1,8]=>2 [[.,[.,[[.,.],[[.,.],[.,.]]]]],.]=>[7,5,6,3,4,2,1,8]=>3 [[.,[.,[[.,[.,.]],[.,[.,.]]]]],.]=>[7,6,4,3,5,2,1,8]=>2 [[.,[.,[[[.,.],.],[.,[.,.]]]]],.]=>[7,6,3,4,5,2,1,8]=>3 [[.,[.,[[.,[.,[.,.]]],[.,.]]]],.]=>[7,5,4,3,6,2,1,8]=>2 [[.,[[.,.],[.,[.,[[.,.],.]]]]],.]=>[6,7,5,4,2,3,1,8]=>3 [[.,[[.,[.,.]],[[.,[.,.]],.]]],.]=>[6,5,7,3,2,4,1,8]=>3 [[.,[[[.,.],.],[[[.,.],.],.]]],.]=>[5,6,7,2,3,4,1,8]=>5 [[.,[[[[[[.,.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,1,8]=>6 [[[[[.,.],.],.],[[[.,.],.],.]],.]=>[5,6,7,1,2,3,4,8]=>6 [[[[[[.,.],.],.],.],[[.,.],.]],.]=>[6,7,1,2,3,4,5,8]=>6 [[[[[[[.,.],.],.],.],.],[.,.]],.]=>[7,1,2,3,4,5,6,8]=>6 [[[.,[.,[.,[.,[.,[.,.]]]]]],.],.]=>[6,5,4,3,2,1,7,8]=>2 [[[.,[[[[[.,.],.],.],.],.]],.],.]=>[2,3,4,5,6,1,7,8]=>6 [[[[.,.],[[.,.],[[.,.],.]]],.],.]=>[5,6,3,4,1,2,7,8]=>5 [[[[[.,.],.],[[[.,.],.],.]],.],.]=>[4,5,6,1,2,3,7,8]=>6 [[[[[[[.,.],.],.],.],[.,.]],.],.]=>[6,1,2,3,4,5,7,8]=>6 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[[.,.],[[.,.],[[.,.],[[.,.],[[.,.],.]]]]]=>[9,10,7,8,5,6,3,4,1,2]=>5 [[[[[[[[.,.],.],.],.],.],.],.],[.,.]]=>[9,1,2,3,4,5,6,7,8]=>7 [[[[[[[[[.,.],.],.],.],.],.],.],.],[.,.]]=>[10,1,2,3,4,5,6,7,8,9]=>8 [[[[[[[.,[.,.]],.],.],.],.],.],[.,.]]=>[9,2,1,3,4,5,6,7,8]=>6 [.,[[[[[[[.,[.,.]],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,1]=>6 [[[[[[[[[[.,.],.],.],.],.],.],.],.],.],[.,.]]=>[11,1,2,3,4,5,6,7,8,9,10]=>9 [[[[[[[[.,[.,.]],.],.],.],.],.],.],[.,.]]=>[10,2,1,3,4,5,6,7,8,9]=>7 [[[[[[[.,.],[.,.]],.],.],.],.],[.,.]]=>[9,3,1,2,4,5,6,7,8]=>6 [[[[[[.,[[.,.],.]],.],.],.],.],[.,.]]=>[9,2,3,1,4,5,6,7,8]=>6 [.,[[[[[[[.,.],[.,.]],.],.],.],.],.]]=>[4,2,3,5,6,7,8,9,1]=>6 [.,[[[[[[.,[[.,.],.]],.],.],.],.],.]]=>[3,4,2,5,6,7,8,9,1]=>6 [.,[[[[[[[[.,[.,.]],.],.],.],.],.],.],.]]=>[3,2,4,5,6,7,8,9,10,1]=>7 [.,[[[[[[[[[[.,.],.],.],.],.],.],.],.],.],.]]=>[2,3,4,5,6,7,8,9,10,11,1]=>9 [[[[[[[.,.],.],.],.],.],.],[[.,.],.]]=>[8,9,1,2,3,4,5,6,7]=>7 [[[[[[.,.],.],.],.],.],[[[.,.],.],.]]=>[7,8,9,1,2,3,4,5,6]=>7 [[[[[.,.],.],.],.],[[[[.,.],.],.],.]]=>[6,7,8,9,1,2,3,4,5]=>7 [[[[[[[.,.],.],.],.],.],.],[.,[.,.]]]=>[9,8,1,2,3,4,5,6,7]=>6 [[[[[[[[.,.],.],.],.],.],.],.],[[.,.],.]]=>[9,10,1,2,3,4,5,6,7,8]=>8 [[[[[[[.,.],.],.],.],.],.],[[[.,.],.],.]]=>[8,9,10,1,2,3,4,5,6,7]=>8 [[[[[[.,.],.],.],.],.],[[[[.,.],.],.],.]]=>[7,8,9,10,1,2,3,4,5,6]=>8 [[[[[.,.],.],.],.],[[[[[.,.],.],.],.],.]]=>[6,7,8,9,10,1,2,3,4,5]=>8 [[.,.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[9,8,7,6,5,4,3,1,2]=>1 [[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]],.]=>[7,8,6,5,4,3,2,1,9]=>2 [[.,.],[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]=>[10,9,8,7,6,5,4,3,1,2]=>1 [[.,[.,[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]]],.]=>[10,9,8,7,6,5,4,3,2,1,11]=>1 [[.,[.,[.,[.,[.,[.,[.,[[.,.],.]]]]]]]],.]=>[8,9,7,6,5,4,3,2,1,10]=>2 [[.,[.,[.,[.,[.,[[.,[.,.]],.]]]]]],.]=>[7,6,8,5,4,3,2,1,9]=>2 [[[.,.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[9,8,7,6,5,4,1,2,3]=>2 [[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.]=>[7,6,5,4,3,2,1,8,9]=>2 [[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.]=>[6,5,4,3,2,1,7,8,9]=>3 [[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.]=>[5,4,3,2,1,6,7,8,9]=>4 [[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9]=>5 [[[[[[[.,[.,[.,.]]],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9]=>6 [[[[[[[[.,[.,.]],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9]=>7 [[[.,[.,[.,[.,[.,[.,[.,[.,.]]]]]]]],.],.]=>[8,7,6,5,4,3,2,1,9,10]=>2 [[[[.,[.,[.,[.,[.,[.,[.,.]]]]]]],.],.],.]=>[7,6,5,4,3,2,1,8,9,10]=>3 [[[[[.,[.,[.,[.,[.,[.,.]]]]]],.],.],.],.]=>[6,5,4,3,2,1,7,8,9,10]=>4 [[[[[[.,[.,[.,[.,[.,.]]]]],.],.],.],.],.]=>[5,4,3,2,1,6,7,8,9,10]=>5 [[[[[[[.,[.,[.,[.,.]]]],.],.],.],.],.],.]=>[4,3,2,1,5,6,7,8,9,10]=>6 [[[[[[[[.,[.,[.,.]]],.],.],.],.],.],.],.]=>[3,2,1,4,5,6,7,8,9,10]=>7 [[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10]=>8 [[[[[[[[[[.,[.,.]],.],.],.],.],.],.],.],.],.]=>[2,1,3,4,5,6,7,8,9,10,11]=>9 [[.,[[[[[[[.,.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,1,9]=>7 [[[.,[[[[[[.,.],.],.],.],.],.]],.],.]=>[2,3,4,5,6,7,1,8,9]=>7 [[.,[[[[[[[[.,.],.],.],.],.],.],.],.]],.]=>[2,3,4,5,6,7,8,9,1,10]=>8 [[[[[[[[.,.],.],.],.],.],[.,.]],.],.]=>[7,1,2,3,4,5,6,8,9]=>7 [[[[[[[[.,.],.],.],.],.],.],[.,.]],.]=>[8,1,2,3,4,5,6,7,9]=>7 [[[[[[[[[.,.],.],.],.],.],.],.],[.,.]],.]=>[9,1,2,3,4,5,6,7,8,10]=>8 [[[.,.],.],[.,[.,[.,[.,[.,[.,[.,.]]]]]]]]=>[10,9,8,7,6,5,4,1,2,3]=>2 [[[[[[[[.,.],.],.],.],.],.],.],[.,[.,.]]]=>[10,9,1,2,3,4,5,6,7,8]=>7 [[[[[[.,.],.],.],.],.],[.,[.,[.,.]]]]=>[9,8,7,1,2,3,4,5,6]=>5 [[[[[.,.],.],.],.],[.,[.,[.,[.,.]]]]]=>[9,8,7,6,1,2,3,4,5]=>4 [[[[.,.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[9,8,7,6,5,1,2,3,4]=>3 [[[[[[[.,.],.],.],.],.],.],[.,[.,[.,.]]]]=>[10,9,8,1,2,3,4,5,6,7]=>6 [[[[[[.,.],.],.],.],.],[.,[.,[.,[.,.]]]]]=>[10,9,8,7,1,2,3,4,5,6]=>5 [[[[[.,.],.],.],.],[.,[.,[.,[.,[.,.]]]]]]=>[10,9,8,7,6,1,2,3,4,5]=>4 [[[[.,.],.],.],[.,[.,[.,[.,[.,[.,.]]]]]]]=>[10,9,8,7,6,5,1,2,3,4]=>3 [[[[[[[.,.],[[.,.],.]],.],.],.],.],.]=>[3,4,1,2,5,6,7,8,9]=>7
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Description
The number of ascents of a permutation.
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.