Identifier
Values
=>
Cc0010;cc-rep-0
[.,[.,.]]=>[2,1]=>1 [[.,.],.]=>[1,2]=>2 [.,[.,[.,.]]]=>[3,2,1]=>1 [.,[[.,.],.]]=>[2,3,1]=>2 [[.,.],[.,.]]=>[1,3,2]=>2 [[.,[.,.]],.]=>[2,1,3]=>1 [[[.,.],.],.]=>[1,2,3]=>3 [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>1 [.,[.,[[.,.],.]]]=>[3,4,2,1]=>2 [.,[[.,.],[.,.]]]=>[2,4,3,1]=>2 [.,[[.,[.,.]],.]]=>[3,2,4,1]=>1 [.,[[[.,.],.],.]]=>[2,3,4,1]=>3 [[.,.],[.,[.,.]]]=>[1,4,3,2]=>2 [[.,.],[[.,.],.]]=>[1,3,4,2]=>3 [[.,[.,.]],[.,.]]=>[2,1,4,3]=>1 [[[.,.],.],[.,.]]=>[1,2,4,3]=>3 [[.,[.,[.,.]]],.]=>[3,2,1,4]=>1 [[.,[[.,.],.]],.]=>[2,3,1,4]=>2 [[[.,.],[.,.]],.]=>[1,3,2,4]=>2 [[[.,[.,.]],.],.]=>[2,1,3,4]=>1 [[[[.,.],.],.],.]=>[1,2,3,4]=>4 [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>1 [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>2 [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>2 [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>1 [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>3 [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>2 [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>3 [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>1 [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>3 [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>1 [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>2 [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>2 [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>1 [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>4 [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>2 [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>3 [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>3 [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>2 [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>4 [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>1 [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>1 [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>3 [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>4 [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>1 [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>2 [[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>2 [[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>1 [[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>4 [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>1 [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>2 [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>2 [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>1 [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>3 [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>2 [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>3 [[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>1 [[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>3 [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>1 [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>2 [[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>2 [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>1 [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>5 [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>1 [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>2 [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>2 [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>1 [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>3 [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>2 [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>3 [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>1 [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>3 [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>1 [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>2 [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>2 [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>1 [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>4 [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>2 [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>3 [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>3 [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>2 [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>4 [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>1 [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>1 [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>3 [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>4 [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>1 [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>2 [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>2 [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>1 [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>4 [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>1 [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>2 [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>2 [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>1 [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>3 [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>2 [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>3 [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>1 [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>3 [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>1 [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>2 [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>2 [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>1 [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>5 [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>2 [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>3 [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>3 [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>2 [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>4 [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>3 [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>4 [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>2 [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>4 [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>2 [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>3 [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>3 [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>2 [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>5 [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>1 [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>1 [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>1 [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>1 [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>1 [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>3 [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>4 [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>4 [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>3 [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>5 [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>1 [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>1 [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>2 [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>2 [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>2 [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>2 [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>1 [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>1 [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>4 [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>5 [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>1 [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>2 [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>2 [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>1 [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>3 [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>2 [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>3 [[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>1 [[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>3 [[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>1 [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>2 [[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>2 [[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>1 [[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>5 [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>1 [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>2 [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>2 [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>1 [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>3 [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>2 [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>3 [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>1 [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>3 [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>1 [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>2 [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>2 [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>1 [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>4 [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>2 [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>3 [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>3 [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>2 [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>4 [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>1 [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>1 [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>3 [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>4 [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>1 [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>2 [[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>2 [[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>1 [[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>4 [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>1 [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>2 [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>2 [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>1 [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>3 [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>2 [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>3 [[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>1 [[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>3 [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>1 [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>2 [[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>2 [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>1 [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>6 [[.,.],[.,[[[.,.],.],[.,.]]]]=>[1,4,5,7,6,3,2]=>4 [[.,.],[.,[[[[.,.],.],.],.]]]=>[1,4,5,6,7,3,2]=>5 [[.,.],[[.,.],[.,[.,[.,.]]]]]=>[1,3,7,6,5,4,2]=>3 [[.,.],[[.,.],[.,[[.,.],.]]]]=>[1,3,6,7,5,4,2]=>4 [[.,.],[[.,.],[[.,.],[.,.]]]]=>[1,3,5,7,6,4,2]=>4 [[.,.],[[.,.],[[.,[.,.]],.]]]=>[1,3,6,5,7,4,2]=>3 [[.,.],[[.,.],[[[.,.],.],.]]]=>[1,3,5,6,7,4,2]=>5 [[.,.],[[.,[.,.]],[.,[.,.]]]]=>[1,4,3,7,6,5,2]=>2 [[.,.],[[.,[.,.]],[[.,.],.]]]=>[1,4,3,6,7,5,2]=>2 [[.,.],[[[.,.],.],[.,[.,.]]]]=>[1,3,4,7,6,5,2]=>4 [[.,.],[[[.,.],.],[[.,.],.]]]=>[1,3,4,6,7,5,2]=>5 [[.,.],[[.,[[.,.],.]],[.,.]]]=>[1,4,5,3,7,6,2]=>3 [[.,.],[[[.,.],[.,.]],[.,.]]]=>[1,3,5,4,7,6,2]=>3 [[.,.],[[[.,[.,.]],.],[.,.]]]=>[1,4,3,5,7,6,2]=>2 [[.,.],[[[[.,.],.],.],[.,.]]]=>[1,3,4,5,7,6,2]=>5 [[.,.],[[.,[[.,.],[.,.]]],.]]=>[1,4,6,5,3,7,2]=>3 [[.,.],[[.,[[[.,.],.],.]],.]]=>[1,4,5,6,3,7,2]=>4 [[.,.],[[[.,.],[.,[.,.]]],.]]=>[1,3,6,5,4,7,2]=>3 [[.,.],[[[.,.],[[.,.],.]],.]]=>[1,3,5,6,4,7,2]=>4 [[.,.],[[[.,[.,.]],[.,.]],.]]=>[1,4,3,6,5,7,2]=>2 [[.,.],[[[[.,.],.],[.,.]],.]]=>[1,3,4,6,5,7,2]=>4 [[.,.],[[[.,[[.,.],.]],.],.]]=>[1,4,5,3,6,7,2]=>3 [[.,.],[[[[.,.],[.,.]],.],.]]=>[1,3,5,4,6,7,2]=>3 [[.,.],[[[[.,[.,.]],.],.],.]]=>[1,4,3,5,6,7,2]=>2 [[.,.],[[[[[.,.],.],.],.],.]]=>[1,3,4,5,6,7,2]=>6 [[[.,.],.],[.,[.,[.,[.,.]]]]]=>[1,2,7,6,5,4,3]=>3 [[[.,.],.],[.,[.,[[.,.],.]]]]=>[1,2,6,7,5,4,3]=>4 [[[.,.],.],[.,[[.,.],[.,.]]]]=>[1,2,5,7,6,4,3]=>4 [[[.,.],.],[.,[[.,[.,.]],.]]]=>[1,2,6,5,7,4,3]=>3 [[[.,.],.],[.,[[[.,.],.],.]]]=>[1,2,5,6,7,4,3]=>5 [[[.,.],.],[[.,.],[.,[.,.]]]]=>[1,2,4,7,6,5,3]=>4 [[[.,.],.],[[.,.],[[.,.],.]]]=>[1,2,4,6,7,5,3]=>5 [[[.,.],.],[[.,[.,.]],[.,.]]]=>[1,2,5,4,7,6,3]=>3 [[[.,.],.],[[[.,.],.],[.,.]]]=>[1,2,4,5,7,6,3]=>5 [[[.,.],.],[[.,[.,[.,.]]],.]]=>[1,2,6,5,4,7,3]=>3 [[[.,.],.],[[.,[[.,.],.]],.]]=>[1,2,5,6,4,7,3]=>4 [[[.,.],.],[[[.,.],[.,.]],.]]=>[1,2,4,6,5,7,3]=>4 [[[.,.],.],[[[.,[.,.]],.],.]]=>[1,2,5,4,6,7,3]=>3 [[[.,.],.],[[[[.,.],.],.],.]]=>[1,2,4,5,6,7,3]=>6 [[[.,.],[.,.]],[.,[.,[.,.]]]]=>[1,3,2,7,6,5,4]=>2 [[[.,.],[.,.]],[.,[[.,.],.]]]=>[1,3,2,6,7,5,4]=>2 [[[.,.],[.,.]],[[.,.],[.,.]]]=>[1,3,2,5,7,6,4]=>2 [[[.,.],[.,.]],[[.,[.,.]],.]]=>[1,3,2,6,5,7,4]=>2 [[[.,.],[.,.]],[[[.,.],.],.]]=>[1,3,2,5,6,7,4]=>2 [[[[.,.],.],.],[.,[.,[.,.]]]]=>[1,2,3,7,6,5,4]=>4 [[[[.,.],.],.],[.,[[.,.],.]]]=>[1,2,3,6,7,5,4]=>5 [[[[.,.],.],.],[[.,.],[.,.]]]=>[1,2,3,5,7,6,4]=>5 [[[[.,.],.],.],[[.,[.,.]],.]]=>[1,2,3,6,5,7,4]=>4 [[[[.,.],.],.],[[[.,.],.],.]]=>[1,2,3,5,6,7,4]=>6 [[[.,.],[.,[.,.]]],[.,[.,.]]]=>[1,4,3,2,7,6,5]=>2 [[[.,.],[.,[.,.]]],[[.,.],.]]=>[1,4,3,2,6,7,5]=>2 [[[.,.],[[.,.],.]],[.,[.,.]]]=>[1,3,4,2,7,6,5]=>3 [[[.,.],[[.,.],.]],[[.,.],.]]=>[1,3,4,2,6,7,5]=>3 [[[[.,.],.],[.,.]],[.,[.,.]]]=>[1,2,4,3,7,6,5]=>3 [[[[.,.],.],[.,.]],[[.,.],.]]=>[1,2,4,3,6,7,5]=>3 [[[[.,.],[.,.]],.],[.,[.,.]]]=>[1,3,2,4,7,6,5]=>2 [[[[.,.],[.,.]],.],[[.,.],.]]=>[1,3,2,4,6,7,5]=>2 [[[[[.,.],.],.],.],[.,[.,.]]]=>[1,2,3,4,7,6,5]=>5 [[[[[.,.],.],.],.],[[.,.],.]]=>[1,2,3,4,6,7,5]=>6 [[[.,.],[.,[[.,.],.]]],[.,.]]=>[1,4,5,3,2,7,6]=>3 [[[.,.],[[.,.],[.,.]]],[.,.]]=>[1,3,5,4,2,7,6]=>3 [[[.,.],[[.,[.,.]],.]],[.,.]]=>[1,4,3,5,2,7,6]=>2 [[[.,.],[[[.,.],.],.]],[.,.]]=>[1,3,4,5,2,7,6]=>4 [[[[.,.],.],[.,[.,.]]],[.,.]]=>[1,2,5,4,3,7,6]=>3 [[[[.,.],.],[[.,.],.]],[.,.]]=>[1,2,4,5,3,7,6]=>4 [[[[.,.],[.,.]],[.,.]],[.,.]]=>[1,3,2,5,4,7,6]=>2 [[[[[.,.],.],.],[.,.]],[.,.]]=>[1,2,3,5,4,7,6]=>4 [[[[.,.],[.,[.,.]]],.],[.,.]]=>[1,4,3,2,5,7,6]=>2 [[[[.,.],[[.,.],.]],.],[.,.]]=>[1,3,4,2,5,7,6]=>3 [[[[[.,.],.],[.,.]],.],[.,.]]=>[1,2,4,3,5,7,6]=>3 [[[[[.,.],[.,.]],.],.],[.,.]]=>[1,3,2,4,5,7,6]=>2 [[[[[[.,.],.],.],.],.],[.,.]]=>[1,2,3,4,5,7,6]=>6 [[[.,.],[.,[[.,.],[.,.]]]],.]=>[1,4,6,5,3,2,7]=>3 [[[.,.],[.,[[[.,.],.],.]]],.]=>[1,4,5,6,3,2,7]=>4 [[[.,.],[[.,.],[.,[.,.]]]],.]=>[1,3,6,5,4,2,7]=>3 [[[.,.],[[.,.],[[.,.],.]]],.]=>[1,3,5,6,4,2,7]=>4 [[[.,.],[[.,[.,.]],[.,.]]],.]=>[1,4,3,6,5,2,7]=>2 [[[.,.],[[[.,.],.],[.,.]]],.]=>[1,3,4,6,5,2,7]=>4 [[[.,.],[[.,[[.,.],.]],.]],.]=>[1,4,5,3,6,2,7]=>3 [[[.,.],[[[.,.],[.,.]],.]],.]=>[1,3,5,4,6,2,7]=>3 [[[.,.],[[[.,[.,.]],.],.]],.]=>[1,4,3,5,6,2,7]=>2 [[[.,.],[[[[.,.],.],.],.]],.]=>[1,3,4,5,6,2,7]=>5 [[[[.,.],.],[.,[.,[.,.]]]],.]=>[1,2,6,5,4,3,7]=>3 [[[[.,.],.],[.,[[.,.],.]]],.]=>[1,2,5,6,4,3,7]=>4 [[[[.,.],.],[[.,.],[.,.]]],.]=>[1,2,4,6,5,3,7]=>4 [[[[.,.],.],[[.,[.,.]],.]],.]=>[1,2,5,4,6,3,7]=>3 [[[[.,.],.],[[[.,.],.],.]],.]=>[1,2,4,5,6,3,7]=>5 [[[[.,.],[.,.]],[.,[.,.]]],.]=>[1,3,2,6,5,4,7]=>2 [[[[.,.],[.,.]],[[.,.],.]],.]=>[1,3,2,5,6,4,7]=>2 [[[[[.,.],.],.],[.,[.,.]]],.]=>[1,2,3,6,5,4,7]=>4 [[[[[.,.],.],.],[[.,.],.]],.]=>[1,2,3,5,6,4,7]=>5 [[[[.,.],[.,[.,.]]],[.,.]],.]=>[1,4,3,2,6,5,7]=>2 [[[[.,.],[[.,.],.]],[.,.]],.]=>[1,3,4,2,6,5,7]=>3 [[[[[.,.],.],[.,.]],[.,.]],.]=>[1,2,4,3,6,5,7]=>3 [[[[[.,.],[.,.]],.],[.,.]],.]=>[1,3,2,4,6,5,7]=>2 [[[[[[.,.],.],.],.],[.,.]],.]=>[1,2,3,4,6,5,7]=>5 [[[[.,.],[.,[[.,.],.]]],.],.]=>[1,4,5,3,2,6,7]=>3 [[[[.,.],[[.,.],[.,.]]],.],.]=>[1,3,5,4,2,6,7]=>3 [[[[.,.],[[.,[.,.]],.]],.],.]=>[1,4,3,5,2,6,7]=>2 [[[[.,.],[[[.,.],.],.]],.],.]=>[1,3,4,5,2,6,7]=>4 [[[[[.,.],.],[.,[.,.]]],.],.]=>[1,2,5,4,3,6,7]=>3 [[[[[.,.],.],[[.,.],.]],.],.]=>[1,2,4,5,3,6,7]=>4 [[[[[.,.],[.,.]],[.,.]],.],.]=>[1,3,2,5,4,6,7]=>2 [[[[[[.,.],.],.],[.,.]],.],.]=>[1,2,3,5,4,6,7]=>4 [[[[[.,.],[.,[.,.]]],.],.],.]=>[1,4,3,2,5,6,7]=>2 [[[[[.,.],[[.,.],.]],.],.],.]=>[1,3,4,2,5,6,7]=>3 [[[[[[.,.],.],[.,.]],.],.],.]=>[1,2,4,3,5,6,7]=>3 [[[[[[.,.],[.,.]],.],.],.],.]=>[1,3,2,4,5,6,7]=>2 [[[[[[[.,.],.],.],.],.],.],.]=>[1,2,3,4,5,6,7]=>7
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Description
The first descent of a permutation.
For a permutation $\pi$ of $\{1,\ldots,n\}$, this is the smallest index $0 < i \leq n$ such that $\pi(i) > \pi(i+1)$ where one considers $\pi(n+1)=0$.
Map
to 312-avoiding permutation
Description
Return a 312-avoiding permutation corresponding to a binary tree.
The linear extensions of a binary tree form an interval of the weak order called the Sylvester class of the tree. This permutation is the minimal element of this Sylvester class.