Identifier
Values
=>
Cc0010;cc-rep-0
[.,.]=>[1]=>[1]=>1 [.,[.,.]]=>[2,1]=>[1,2]=>1 [[.,.],.]=>[1,2]=>[2,1]=>2 [.,[.,[.,.]]]=>[3,2,1]=>[1,3,2]=>1 [.,[[.,.],.]]=>[2,3,1]=>[1,2,3]=>1 [[.,.],[.,.]]=>[1,3,2]=>[2,1,3]=>2 [[.,[.,.]],.]=>[2,1,3]=>[3,2,1]=>3 [[[.,.],.],.]=>[1,2,3]=>[2,3,1]=>3 [.,[.,[.,[.,.]]]]=>[4,3,2,1]=>[1,4,3,2]=>1 [.,[.,[[.,.],.]]]=>[3,4,2,1]=>[1,4,2,3]=>1 [.,[[.,.],[.,.]]]=>[2,4,3,1]=>[1,2,4,3]=>1 [.,[[.,[.,.]],.]]=>[3,2,4,1]=>[1,3,2,4]=>1 [.,[[[.,.],.],.]]=>[2,3,4,1]=>[1,2,3,4]=>1 [[.,.],[.,[.,.]]]=>[1,4,3,2]=>[2,1,4,3]=>2 [[.,.],[[.,.],.]]=>[1,3,4,2]=>[2,1,3,4]=>2 [[.,[.,.]],[.,.]]=>[2,1,4,3]=>[3,2,1,4]=>3 [[[.,.],.],[.,.]]=>[1,2,4,3]=>[2,3,1,4]=>3 [[.,[.,[.,.]]],.]=>[3,2,1,4]=>[4,3,2,1]=>4 [[.,[[.,.],.]],.]=>[2,3,1,4]=>[4,2,3,1]=>4 [[[.,.],[.,.]],.]=>[1,3,2,4]=>[2,4,3,1]=>4 [[[.,[.,.]],.],.]=>[2,1,3,4]=>[3,2,4,1]=>4 [[[[.,.],.],.],.]=>[1,2,3,4]=>[2,3,4,1]=>4 [.,[.,[.,[.,[.,.]]]]]=>[5,4,3,2,1]=>[1,5,4,3,2]=>1 [.,[.,[.,[[.,.],.]]]]=>[4,5,3,2,1]=>[1,5,4,2,3]=>1 [.,[.,[[.,.],[.,.]]]]=>[3,5,4,2,1]=>[1,5,2,4,3]=>1 [.,[.,[[.,[.,.]],.]]]=>[4,3,5,2,1]=>[1,5,3,2,4]=>1 [.,[.,[[[.,.],.],.]]]=>[3,4,5,2,1]=>[1,5,2,3,4]=>1 [.,[[.,.],[.,[.,.]]]]=>[2,5,4,3,1]=>[1,2,5,4,3]=>1 [.,[[.,.],[[.,.],.]]]=>[2,4,5,3,1]=>[1,2,5,3,4]=>1 [.,[[.,[.,.]],[.,.]]]=>[3,2,5,4,1]=>[1,3,2,5,4]=>1 [.,[[[.,.],.],[.,.]]]=>[2,3,5,4,1]=>[1,2,3,5,4]=>1 [.,[[.,[.,[.,.]]],.]]=>[4,3,2,5,1]=>[1,4,3,2,5]=>1 [.,[[.,[[.,.],.]],.]]=>[3,4,2,5,1]=>[1,4,2,3,5]=>1 [.,[[[.,.],[.,.]],.]]=>[2,4,3,5,1]=>[1,2,4,3,5]=>1 [.,[[[.,[.,.]],.],.]]=>[3,2,4,5,1]=>[1,3,2,4,5]=>1 [.,[[[[.,.],.],.],.]]=>[2,3,4,5,1]=>[1,2,3,4,5]=>1 [[.,.],[.,[.,[.,.]]]]=>[1,5,4,3,2]=>[2,1,5,4,3]=>2 [[.,.],[.,[[.,.],.]]]=>[1,4,5,3,2]=>[2,1,5,3,4]=>2 [[.,.],[[.,.],[.,.]]]=>[1,3,5,4,2]=>[2,1,3,5,4]=>2 [[.,.],[[.,[.,.]],.]]=>[1,4,3,5,2]=>[2,1,4,3,5]=>2 [[.,.],[[[.,.],.],.]]=>[1,3,4,5,2]=>[2,1,3,4,5]=>2 [[.,[.,.]],[.,[.,.]]]=>[2,1,5,4,3]=>[3,2,1,5,4]=>3 [[.,[.,.]],[[.,.],.]]=>[2,1,4,5,3]=>[3,2,1,4,5]=>3 [[[.,.],.],[.,[.,.]]]=>[1,2,5,4,3]=>[2,3,1,5,4]=>3 [[[.,.],.],[[.,.],.]]=>[1,2,4,5,3]=>[2,3,1,4,5]=>3 [[.,[.,[.,.]]],[.,.]]=>[3,2,1,5,4]=>[4,3,2,1,5]=>4 [[.,[[.,.],.]],[.,.]]=>[2,3,1,5,4]=>[4,2,3,1,5]=>4 [[[.,.],[.,.]],[.,.]]=>[1,3,2,5,4]=>[2,4,3,1,5]=>4 [[[.,[.,.]],.],[.,.]]=>[2,1,3,5,4]=>[3,2,4,1,5]=>4 [[[[.,.],.],.],[.,.]]=>[1,2,3,5,4]=>[2,3,4,1,5]=>4 [[.,[.,[.,[.,.]]]],.]=>[4,3,2,1,5]=>[5,4,3,2,1]=>5 [[.,[.,[[.,.],.]]],.]=>[3,4,2,1,5]=>[5,4,2,3,1]=>5 [[.,[[.,.],[.,.]]],.]=>[2,4,3,1,5]=>[5,2,4,3,1]=>5 [[.,[[.,[.,.]],.]],.]=>[3,2,4,1,5]=>[5,3,2,4,1]=>5 [[.,[[[.,.],.],.]],.]=>[2,3,4,1,5]=>[5,2,3,4,1]=>5 [[[.,.],[.,[.,.]]],.]=>[1,4,3,2,5]=>[2,5,4,3,1]=>5 [[[.,.],[[.,.],.]],.]=>[1,3,4,2,5]=>[2,5,3,4,1]=>5 [[[.,[.,.]],[.,.]],.]=>[2,1,4,3,5]=>[3,2,5,4,1]=>5 [[[[.,.],.],[.,.]],.]=>[1,2,4,3,5]=>[2,3,5,4,1]=>5 [[[.,[.,[.,.]]],.],.]=>[3,2,1,4,5]=>[4,3,2,5,1]=>5 [[[.,[[.,.],.]],.],.]=>[2,3,1,4,5]=>[4,2,3,5,1]=>5 [[[[.,.],[.,.]],.],.]=>[1,3,2,4,5]=>[2,4,3,5,1]=>5 [[[[.,[.,.]],.],.],.]=>[2,1,3,4,5]=>[3,2,4,5,1]=>5 [[[[[.,.],.],.],.],.]=>[1,2,3,4,5]=>[2,3,4,5,1]=>5 [.,[.,[.,[.,[.,[.,.]]]]]]=>[6,5,4,3,2,1]=>[1,6,5,4,3,2]=>1 [.,[.,[.,[.,[[.,.],.]]]]]=>[5,6,4,3,2,1]=>[1,6,5,4,2,3]=>1 [.,[.,[.,[[.,.],[.,.]]]]]=>[4,6,5,3,2,1]=>[1,6,5,2,4,3]=>1 [.,[.,[.,[[.,[.,.]],.]]]]=>[5,4,6,3,2,1]=>[1,6,5,3,2,4]=>1 [.,[.,[.,[[[.,.],.],.]]]]=>[4,5,6,3,2,1]=>[1,6,5,2,3,4]=>1 [.,[.,[[.,.],[.,[.,.]]]]]=>[3,6,5,4,2,1]=>[1,6,2,5,4,3]=>1 [.,[.,[[.,.],[[.,.],.]]]]=>[3,5,6,4,2,1]=>[1,6,2,5,3,4]=>1 [.,[.,[[.,[.,.]],[.,.]]]]=>[4,3,6,5,2,1]=>[1,6,3,2,5,4]=>1 [.,[.,[[[.,.],.],[.,.]]]]=>[3,4,6,5,2,1]=>[1,6,2,3,5,4]=>1 [.,[.,[[.,[.,[.,.]]],.]]]=>[5,4,3,6,2,1]=>[1,6,4,3,2,5]=>1 [.,[.,[[.,[[.,.],.]],.]]]=>[4,5,3,6,2,1]=>[1,6,4,2,3,5]=>1 [.,[.,[[[.,.],[.,.]],.]]]=>[3,5,4,6,2,1]=>[1,6,2,4,3,5]=>1 [.,[.,[[[.,[.,.]],.],.]]]=>[4,3,5,6,2,1]=>[1,6,3,2,4,5]=>1 [.,[.,[[[[.,.],.],.],.]]]=>[3,4,5,6,2,1]=>[1,6,2,3,4,5]=>1 [.,[[.,.],[.,[.,[.,.]]]]]=>[2,6,5,4,3,1]=>[1,2,6,5,4,3]=>1 [.,[[.,.],[.,[[.,.],.]]]]=>[2,5,6,4,3,1]=>[1,2,6,5,3,4]=>1 [.,[[.,.],[[.,.],[.,.]]]]=>[2,4,6,5,3,1]=>[1,2,6,3,5,4]=>1 [.,[[.,.],[[.,[.,.]],.]]]=>[2,5,4,6,3,1]=>[1,2,6,4,3,5]=>1 [.,[[.,.],[[[.,.],.],.]]]=>[2,4,5,6,3,1]=>[1,2,6,3,4,5]=>1 [.,[[.,[.,.]],[.,[.,.]]]]=>[3,2,6,5,4,1]=>[1,3,2,6,5,4]=>1 [.,[[.,[.,.]],[[.,.],.]]]=>[3,2,5,6,4,1]=>[1,3,2,6,4,5]=>1 [.,[[[.,.],.],[.,[.,.]]]]=>[2,3,6,5,4,1]=>[1,2,3,6,5,4]=>1 [.,[[[.,.],.],[[.,.],.]]]=>[2,3,5,6,4,1]=>[1,2,3,6,4,5]=>1 [.,[[.,[.,[.,.]]],[.,.]]]=>[4,3,2,6,5,1]=>[1,4,3,2,6,5]=>1 [.,[[.,[[.,.],.]],[.,.]]]=>[3,4,2,6,5,1]=>[1,4,2,3,6,5]=>1 [.,[[[.,.],[.,.]],[.,.]]]=>[2,4,3,6,5,1]=>[1,2,4,3,6,5]=>1 [.,[[[.,[.,.]],.],[.,.]]]=>[3,2,4,6,5,1]=>[1,3,2,4,6,5]=>1 [.,[[[[.,.],.],.],[.,.]]]=>[2,3,4,6,5,1]=>[1,2,3,4,6,5]=>1 [.,[[.,[.,[.,[.,.]]]],.]]=>[5,4,3,2,6,1]=>[1,5,4,3,2,6]=>1 [.,[[.,[.,[[.,.],.]]],.]]=>[4,5,3,2,6,1]=>[1,5,4,2,3,6]=>1 [.,[[.,[[.,.],[.,.]]],.]]=>[3,5,4,2,6,1]=>[1,5,2,4,3,6]=>1 [.,[[.,[[.,[.,.]],.]],.]]=>[4,3,5,2,6,1]=>[1,5,3,2,4,6]=>1 [.,[[.,[[[.,.],.],.]],.]]=>[3,4,5,2,6,1]=>[1,5,2,3,4,6]=>1 [.,[[[.,.],[.,[.,.]]],.]]=>[2,5,4,3,6,1]=>[1,2,5,4,3,6]=>1 [.,[[[.,.],[[.,.],.]],.]]=>[2,4,5,3,6,1]=>[1,2,5,3,4,6]=>1 [.,[[[.,[.,.]],[.,.]],.]]=>[3,2,5,4,6,1]=>[1,3,2,5,4,6]=>1 [.,[[[[.,.],.],[.,.]],.]]=>[2,3,5,4,6,1]=>[1,2,3,5,4,6]=>1 [.,[[[.,[.,[.,.]]],.],.]]=>[4,3,2,5,6,1]=>[1,4,3,2,5,6]=>1 [.,[[[.,[[.,.],.]],.],.]]=>[3,4,2,5,6,1]=>[1,4,2,3,5,6]=>1 [.,[[[[.,.],[.,.]],.],.]]=>[2,4,3,5,6,1]=>[1,2,4,3,5,6]=>1 [.,[[[[.,[.,.]],.],.],.]]=>[3,2,4,5,6,1]=>[1,3,2,4,5,6]=>1 [.,[[[[[.,.],.],.],.],.]]=>[2,3,4,5,6,1]=>[1,2,3,4,5,6]=>1 [[.,.],[.,[.,[.,[.,.]]]]]=>[1,6,5,4,3,2]=>[2,1,6,5,4,3]=>2 [[.,.],[.,[.,[[.,.],.]]]]=>[1,5,6,4,3,2]=>[2,1,6,5,3,4]=>2 [[.,.],[.,[[.,.],[.,.]]]]=>[1,4,6,5,3,2]=>[2,1,6,3,5,4]=>2 [[.,.],[.,[[.,[.,.]],.]]]=>[1,5,4,6,3,2]=>[2,1,6,4,3,5]=>2 [[.,.],[.,[[[.,.],.],.]]]=>[1,4,5,6,3,2]=>[2,1,6,3,4,5]=>2 [[.,.],[[.,.],[.,[.,.]]]]=>[1,3,6,5,4,2]=>[2,1,3,6,5,4]=>2 [[.,.],[[.,.],[[.,.],.]]]=>[1,3,5,6,4,2]=>[2,1,3,6,4,5]=>2 [[.,.],[[.,[.,.]],[.,.]]]=>[1,4,3,6,5,2]=>[2,1,4,3,6,5]=>2 [[.,.],[[[.,.],.],[.,.]]]=>[1,3,4,6,5,2]=>[2,1,3,4,6,5]=>2 [[.,.],[[.,[.,[.,.]]],.]]=>[1,5,4,3,6,2]=>[2,1,5,4,3,6]=>2 [[.,.],[[.,[[.,.],.]],.]]=>[1,4,5,3,6,2]=>[2,1,5,3,4,6]=>2 [[.,.],[[[.,.],[.,.]],.]]=>[1,3,5,4,6,2]=>[2,1,3,5,4,6]=>2 [[.,.],[[[.,[.,.]],.],.]]=>[1,4,3,5,6,2]=>[2,1,4,3,5,6]=>2 [[.,.],[[[[.,.],.],.],.]]=>[1,3,4,5,6,2]=>[2,1,3,4,5,6]=>2 [[.,[.,.]],[.,[.,[.,.]]]]=>[2,1,6,5,4,3]=>[3,2,1,6,5,4]=>3 [[.,[.,.]],[.,[[.,.],.]]]=>[2,1,5,6,4,3]=>[3,2,1,6,4,5]=>3 [[.,[.,.]],[[.,.],[.,.]]]=>[2,1,4,6,5,3]=>[3,2,1,4,6,5]=>3 [[.,[.,.]],[[.,[.,.]],.]]=>[2,1,5,4,6,3]=>[3,2,1,5,4,6]=>3 [[.,[.,.]],[[[.,.],.],.]]=>[2,1,4,5,6,3]=>[3,2,1,4,5,6]=>3 [[[.,.],.],[.,[.,[.,.]]]]=>[1,2,6,5,4,3]=>[2,3,1,6,5,4]=>3 [[[.,.],.],[.,[[.,.],.]]]=>[1,2,5,6,4,3]=>[2,3,1,6,4,5]=>3 [[[.,.],.],[[.,.],[.,.]]]=>[1,2,4,6,5,3]=>[2,3,1,4,6,5]=>3 [[[.,.],.],[[.,[.,.]],.]]=>[1,2,5,4,6,3]=>[2,3,1,5,4,6]=>3 [[[.,.],.],[[[.,.],.],.]]=>[1,2,4,5,6,3]=>[2,3,1,4,5,6]=>3 [[.,[.,[.,.]]],[.,[.,.]]]=>[3,2,1,6,5,4]=>[4,3,2,1,6,5]=>4 [[.,[.,[.,.]]],[[.,.],.]]=>[3,2,1,5,6,4]=>[4,3,2,1,5,6]=>4 [[.,[[.,.],.]],[.,[.,.]]]=>[2,3,1,6,5,4]=>[4,2,3,1,6,5]=>4 [[.,[[.,.],.]],[[.,.],.]]=>[2,3,1,5,6,4]=>[4,2,3,1,5,6]=>4 [[[.,.],[.,.]],[.,[.,.]]]=>[1,3,2,6,5,4]=>[2,4,3,1,6,5]=>4 [[[.,.],[.,.]],[[.,.],.]]=>[1,3,2,5,6,4]=>[2,4,3,1,5,6]=>4 [[[.,[.,.]],.],[.,[.,.]]]=>[2,1,3,6,5,4]=>[3,2,4,1,6,5]=>4 [[[.,[.,.]],.],[[.,.],.]]=>[2,1,3,5,6,4]=>[3,2,4,1,5,6]=>4 [[[[.,.],.],.],[.,[.,.]]]=>[1,2,3,6,5,4]=>[2,3,4,1,6,5]=>4 [[[[.,.],.],.],[[.,.],.]]=>[1,2,3,5,6,4]=>[2,3,4,1,5,6]=>4 [[.,[.,[.,[.,.]]]],[.,.]]=>[4,3,2,1,6,5]=>[5,4,3,2,1,6]=>5 [[.,[.,[[.,.],.]]],[.,.]]=>[3,4,2,1,6,5]=>[5,4,2,3,1,6]=>5 [[.,[[.,.],[.,.]]],[.,.]]=>[2,4,3,1,6,5]=>[5,2,4,3,1,6]=>5 [[.,[[.,[.,.]],.]],[.,.]]=>[3,2,4,1,6,5]=>[5,3,2,4,1,6]=>5 [[.,[[[.,.],.],.]],[.,.]]=>[2,3,4,1,6,5]=>[5,2,3,4,1,6]=>5 [[[.,.],[.,[.,.]]],[.,.]]=>[1,4,3,2,6,5]=>[2,5,4,3,1,6]=>5 [[[.,.],[[.,.],.]],[.,.]]=>[1,3,4,2,6,5]=>[2,5,3,4,1,6]=>5 [[[.,[.,.]],[.,.]],[.,.]]=>[2,1,4,3,6,5]=>[3,2,5,4,1,6]=>5 [[[[.,.],.],[.,.]],[.,.]]=>[1,2,4,3,6,5]=>[2,3,5,4,1,6]=>5 [[[.,[.,[.,.]]],.],[.,.]]=>[3,2,1,4,6,5]=>[4,3,2,5,1,6]=>5 [[[.,[[.,.],.]],.],[.,.]]=>[2,3,1,4,6,5]=>[4,2,3,5,1,6]=>5 [[[[.,.],[.,.]],.],[.,.]]=>[1,3,2,4,6,5]=>[2,4,3,5,1,6]=>5 [[[[.,[.,.]],.],.],[.,.]]=>[2,1,3,4,6,5]=>[3,2,4,5,1,6]=>5 [[[[[.,.],.],.],.],[.,.]]=>[1,2,3,4,6,5]=>[2,3,4,5,1,6]=>5 [[.,[.,[.,[.,[.,.]]]]],.]=>[5,4,3,2,1,6]=>[6,5,4,3,2,1]=>6 [[.,[.,[.,[[.,.],.]]]],.]=>[4,5,3,2,1,6]=>[6,5,4,2,3,1]=>6 [[.,[.,[[.,.],[.,.]]]],.]=>[3,5,4,2,1,6]=>[6,5,2,4,3,1]=>6 [[.,[.,[[.,[.,.]],.]]],.]=>[4,3,5,2,1,6]=>[6,5,3,2,4,1]=>6 [[.,[.,[[[.,.],.],.]]],.]=>[3,4,5,2,1,6]=>[6,5,2,3,4,1]=>6 [[.,[[.,.],[.,[.,.]]]],.]=>[2,5,4,3,1,6]=>[6,2,5,4,3,1]=>6 [[.,[[.,.],[[.,.],.]]],.]=>[2,4,5,3,1,6]=>[6,2,5,3,4,1]=>6 [[.,[[.,[.,.]],[.,.]]],.]=>[3,2,5,4,1,6]=>[6,3,2,5,4,1]=>6 [[.,[[[.,.],.],[.,.]]],.]=>[2,3,5,4,1,6]=>[6,2,3,5,4,1]=>6 [[.,[[.,[.,[.,.]]],.]],.]=>[4,3,2,5,1,6]=>[6,4,3,2,5,1]=>6 [[.,[[.,[[.,.],.]],.]],.]=>[3,4,2,5,1,6]=>[6,4,2,3,5,1]=>6 [[.,[[[.,.],[.,.]],.]],.]=>[2,4,3,5,1,6]=>[6,2,4,3,5,1]=>6 [[.,[[[.,[.,.]],.],.]],.]=>[3,2,4,5,1,6]=>[6,3,2,4,5,1]=>6 [[.,[[[[.,.],.],.],.]],.]=>[2,3,4,5,1,6]=>[6,2,3,4,5,1]=>6 [[[.,.],[.,[.,[.,.]]]],.]=>[1,5,4,3,2,6]=>[2,6,5,4,3,1]=>6 [[[.,.],[.,[[.,.],.]]],.]=>[1,4,5,3,2,6]=>[2,6,5,3,4,1]=>6 [[[.,.],[[.,.],[.,.]]],.]=>[1,3,5,4,2,6]=>[2,6,3,5,4,1]=>6 [[[.,.],[[.,[.,.]],.]],.]=>[1,4,3,5,2,6]=>[2,6,4,3,5,1]=>6 [[[.,.],[[[.,.],.],.]],.]=>[1,3,4,5,2,6]=>[2,6,3,4,5,1]=>6 [[[.,[.,.]],[.,[.,.]]],.]=>[2,1,5,4,3,6]=>[3,2,6,5,4,1]=>6 [[[.,[.,.]],[[.,.],.]],.]=>[2,1,4,5,3,6]=>[3,2,6,4,5,1]=>6 [[[[.,.],.],[.,[.,.]]],.]=>[1,2,5,4,3,6]=>[2,3,6,5,4,1]=>6 [[[[.,.],.],[[.,.],.]],.]=>[1,2,4,5,3,6]=>[2,3,6,4,5,1]=>6 [[[.,[.,[.,.]]],[.,.]],.]=>[3,2,1,5,4,6]=>[4,3,2,6,5,1]=>6 [[[.,[[.,.],.]],[.,.]],.]=>[2,3,1,5,4,6]=>[4,2,3,6,5,1]=>6 [[[[.,.],[.,.]],[.,.]],.]=>[1,3,2,5,4,6]=>[2,4,3,6,5,1]=>6 [[[[.,[.,.]],.],[.,.]],.]=>[2,1,3,5,4,6]=>[3,2,4,6,5,1]=>6 [[[[[.,.],.],.],[.,.]],.]=>[1,2,3,5,4,6]=>[2,3,4,6,5,1]=>6 [[[.,[.,[.,[.,.]]]],.],.]=>[4,3,2,1,5,6]=>[5,4,3,2,6,1]=>6 [[[.,[.,[[.,.],.]]],.],.]=>[3,4,2,1,5,6]=>[5,4,2,3,6,1]=>6 [[[.,[[.,.],[.,.]]],.],.]=>[2,4,3,1,5,6]=>[5,2,4,3,6,1]=>6 [[[.,[[.,[.,.]],.]],.],.]=>[3,2,4,1,5,6]=>[5,3,2,4,6,1]=>6 [[[.,[[[.,.],.],.]],.],.]=>[2,3,4,1,5,6]=>[5,2,3,4,6,1]=>6 [[[[.,.],[.,[.,.]]],.],.]=>[1,4,3,2,5,6]=>[2,5,4,3,6,1]=>6 [[[[.,.],[[.,.],.]],.],.]=>[1,3,4,2,5,6]=>[2,5,3,4,6,1]=>6 [[[[.,[.,.]],[.,.]],.],.]=>[2,1,4,3,5,6]=>[3,2,5,4,6,1]=>6 [[[[[.,.],.],[.,.]],.],.]=>[1,2,4,3,5,6]=>[2,3,5,4,6,1]=>6 [[[[.,[.,[.,.]]],.],.],.]=>[3,2,1,4,5,6]=>[4,3,2,5,6,1]=>6 [[[[.,[[.,.],.]],.],.],.]=>[2,3,1,4,5,6]=>[4,2,3,5,6,1]=>6 [[[[[.,.],[.,.]],.],.],.]=>[1,3,2,4,5,6]=>[2,4,3,5,6,1]=>6 [[[[[.,[.,.]],.],.],.],.]=>[2,1,3,4,5,6]=>[3,2,4,5,6,1]=>6 [[[[[[.,.],.],.],.],.],.]=>[1,2,3,4,5,6]=>[2,3,4,5,6,1]=>6 [.,[[.,.],[.,[.,[.,[.,.]]]]]]=>[2,7,6,5,4,3,1]=>[1,2,7,6,5,4,3]=>1 [.,[[.,.],[.,[.,[[.,.],.]]]]]=>[2,6,7,5,4,3,1]=>[1,2,7,6,5,3,4]=>1 [.,[[.,.],[.,[[.,.],[.,.]]]]]=>[2,5,7,6,4,3,1]=>[1,2,7,6,3,5,4]=>1 [.,[[.,.],[.,[[.,[.,.]],.]]]]=>[2,6,5,7,4,3,1]=>[1,2,7,6,4,3,5]=>1 [.,[[.,.],[.,[[[.,.],.],.]]]]=>[2,5,6,7,4,3,1]=>[1,2,7,6,3,4,5]=>1 [.,[[.,.],[[.,.],[.,[.,.]]]]]=>[2,4,7,6,5,3,1]=>[1,2,7,3,6,5,4]=>1 [.,[[.,.],[[.,.],[[.,.],.]]]]=>[2,4,6,7,5,3,1]=>[1,2,7,3,6,4,5]=>1 [.,[[.,.],[[.,[.,.]],[.,.]]]]=>[2,5,4,7,6,3,1]=>[1,2,7,4,3,6,5]=>1 [.,[[.,.],[[[.,.],.],[.,.]]]]=>[2,4,5,7,6,3,1]=>[1,2,7,3,4,6,5]=>1 [.,[[.,.],[[.,[.,[.,.]]],.]]]=>[2,6,5,4,7,3,1]=>[1,2,7,5,4,3,6]=>1 [.,[[.,.],[[.,[[.,.],.]],.]]]=>[2,5,6,4,7,3,1]=>[1,2,7,5,3,4,6]=>1 [.,[[.,.],[[[.,.],[.,.]],.]]]=>[2,4,6,5,7,3,1]=>[1,2,7,3,5,4,6]=>1 [.,[[.,.],[[[.,[.,.]],.],.]]]=>[2,5,4,6,7,3,1]=>[1,2,7,4,3,5,6]=>1 [.,[[.,.],[[[[.,.],.],.],.]]]=>[2,4,5,6,7,3,1]=>[1,2,7,3,4,5,6]=>1 [.,[[.,[.,.]],[.,[.,[.,.]]]]]=>[3,2,7,6,5,4,1]=>[1,3,2,7,6,5,4]=>1 [.,[[.,[.,.]],[.,[[.,.],.]]]]=>[3,2,6,7,5,4,1]=>[1,3,2,7,6,4,5]=>1 [.,[[.,[.,.]],[[.,.],[.,.]]]]=>[3,2,5,7,6,4,1]=>[1,3,2,7,4,6,5]=>1 [.,[[.,[.,.]],[[.,[.,.]],.]]]=>[3,2,6,5,7,4,1]=>[1,3,2,7,5,4,6]=>1 [.,[[.,[.,.]],[[[.,.],.],.]]]=>[3,2,5,6,7,4,1]=>[1,3,2,7,4,5,6]=>1 [.,[[[.,.],.],[.,[.,[.,.]]]]]=>[2,3,7,6,5,4,1]=>[1,2,3,7,6,5,4]=>1 [.,[[[.,.],.],[.,[[.,.],.]]]]=>[2,3,6,7,5,4,1]=>[1,2,3,7,6,4,5]=>1 [.,[[[.,.],.],[[.,.],[.,.]]]]=>[2,3,5,7,6,4,1]=>[1,2,3,7,4,6,5]=>1 [.,[[[.,.],.],[[.,[.,.]],.]]]=>[2,3,6,5,7,4,1]=>[1,2,3,7,5,4,6]=>1 [.,[[[.,.],.],[[[.,.],.],.]]]=>[2,3,5,6,7,4,1]=>[1,2,3,7,4,5,6]=>1 [.,[[.,[.,[.,.]]],[.,[.,.]]]]=>[4,3,2,7,6,5,1]=>[1,4,3,2,7,6,5]=>1 [.,[[.,[.,[.,.]]],[[.,.],.]]]=>[4,3,2,6,7,5,1]=>[1,4,3,2,7,5,6]=>1 [.,[[.,[[.,.],.]],[.,[.,.]]]]=>[3,4,2,7,6,5,1]=>[1,4,2,3,7,6,5]=>1 [.,[[.,[[.,.],.]],[[.,.],.]]]=>[3,4,2,6,7,5,1]=>[1,4,2,3,7,5,6]=>1 [.,[[[.,.],[.,.]],[.,[.,.]]]]=>[2,4,3,7,6,5,1]=>[1,2,4,3,7,6,5]=>1 [.,[[[.,.],[.,.]],[[.,.],.]]]=>[2,4,3,6,7,5,1]=>[1,2,4,3,7,5,6]=>1 [.,[[[.,[.,.]],.],[.,[.,.]]]]=>[3,2,4,7,6,5,1]=>[1,3,2,4,7,6,5]=>1 [.,[[[.,[.,.]],.],[[.,.],.]]]=>[3,2,4,6,7,5,1]=>[1,3,2,4,7,5,6]=>1 [.,[[[[.,.],.],.],[.,[.,.]]]]=>[2,3,4,7,6,5,1]=>[1,2,3,4,7,6,5]=>1 [.,[[[[.,.],.],.],[[.,.],.]]]=>[2,3,4,6,7,5,1]=>[1,2,3,4,7,5,6]=>1 [.,[[[.,.],[.,[.,.]]],[.,.]]]=>[2,5,4,3,7,6,1]=>[1,2,5,4,3,7,6]=>1 [.,[[[.,.],[[.,.],.]],[.,.]]]=>[2,4,5,3,7,6,1]=>[1,2,5,3,4,7,6]=>1 [.,[[[.,[.,.]],[.,.]],[.,.]]]=>[3,2,5,4,7,6,1]=>[1,3,2,5,4,7,6]=>1 [.,[[[[.,.],.],[.,.]],[.,.]]]=>[2,3,5,4,7,6,1]=>[1,2,3,5,4,7,6]=>1 [.,[[[.,[.,[.,.]]],.],[.,.]]]=>[4,3,2,5,7,6,1]=>[1,4,3,2,5,7,6]=>1 [.,[[[.,[[.,.],.]],.],[.,.]]]=>[3,4,2,5,7,6,1]=>[1,4,2,3,5,7,6]=>1 [.,[[[[.,.],[.,.]],.],[.,.]]]=>[2,4,3,5,7,6,1]=>[1,2,4,3,5,7,6]=>1 [.,[[[[.,[.,.]],.],.],[.,.]]]=>[3,2,4,5,7,6,1]=>[1,3,2,4,5,7,6]=>1 [.,[[[[[.,.],.],.],.],[.,.]]]=>[2,3,4,5,7,6,1]=>[1,2,3,4,5,7,6]=>1 [.,[[[.,.],[.,[.,[.,.]]]],.]]=>[2,6,5,4,3,7,1]=>[1,2,6,5,4,3,7]=>1 [.,[[[.,.],[.,[[.,.],.]]],.]]=>[2,5,6,4,3,7,1]=>[1,2,6,5,3,4,7]=>1 [.,[[[.,.],[[.,.],[.,.]]],.]]=>[2,4,6,5,3,7,1]=>[1,2,6,3,5,4,7]=>1 [.,[[[.,.],[[.,[.,.]],.]],.]]=>[2,5,4,6,3,7,1]=>[1,2,6,4,3,5,7]=>1 [.,[[[.,.],[[[.,.],.],.]],.]]=>[2,4,5,6,3,7,1]=>[1,2,6,3,4,5,7]=>1 [.,[[[.,[.,.]],[.,[.,.]]],.]]=>[3,2,6,5,4,7,1]=>[1,3,2,6,5,4,7]=>1 [.,[[[.,[.,.]],[[.,.],.]],.]]=>[3,2,5,6,4,7,1]=>[1,3,2,6,4,5,7]=>1 [.,[[[[.,.],.],[.,[.,.]]],.]]=>[2,3,6,5,4,7,1]=>[1,2,3,6,5,4,7]=>1 [.,[[[[.,.],.],[[.,.],.]],.]]=>[2,3,5,6,4,7,1]=>[1,2,3,6,4,5,7]=>1 [.,[[[.,[.,[.,.]]],[.,.]],.]]=>[4,3,2,6,5,7,1]=>[1,4,3,2,6,5,7]=>1 [.,[[[.,[[.,.],.]],[.,.]],.]]=>[3,4,2,6,5,7,1]=>[1,4,2,3,6,5,7]=>1 [.,[[[[.,.],[.,.]],[.,.]],.]]=>[2,4,3,6,5,7,1]=>[1,2,4,3,6,5,7]=>1 [.,[[[[.,[.,.]],.],[.,.]],.]]=>[3,2,4,6,5,7,1]=>[1,3,2,4,6,5,7]=>1 [.,[[[[[.,.],.],.],[.,.]],.]]=>[2,3,4,6,5,7,1]=>[1,2,3,4,6,5,7]=>1 [.,[[[[.,.],[.,[.,.]]],.],.]]=>[2,5,4,3,6,7,1]=>[1,2,5,4,3,6,7]=>1 [.,[[[[.,.],[[.,.],.]],.],.]]=>[2,4,5,3,6,7,1]=>[1,2,5,3,4,6,7]=>1 [.,[[[[.,[.,.]],[.,.]],.],.]]=>[3,2,5,4,6,7,1]=>[1,3,2,5,4,6,7]=>1 [.,[[[[[.,.],.],[.,.]],.],.]]=>[2,3,5,4,6,7,1]=>[1,2,3,5,4,6,7]=>1 [.,[[[[.,[.,[.,.]]],.],.],.]]=>[4,3,2,5,6,7,1]=>[1,4,3,2,5,6,7]=>1 [.,[[[[.,[[.,.],.]],.],.],.]]=>[3,4,2,5,6,7,1]=>[1,4,2,3,5,6,7]=>1 [.,[[[[[.,.],[.,.]],.],.],.]]=>[2,4,3,5,6,7,1]=>[1,2,4,3,5,6,7]=>1 [.,[[[[[.,[.,.]],.],.],.],.]]=>[3,2,4,5,6,7,1]=>[1,3,2,4,5,6,7]=>1 [.,[[[[[[.,.],.],.],.],.],.]]=>[2,3,4,5,6,7,1]=>[1,2,3,4,5,6,7]=>1
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Description
The size of the first part in the decomposition of a permutation.
For a permutation $\pi$ of $\{1,\ldots,n\}$, this is defined to be the smallest $k > 0$ such that $\{\pi(1),\ldots,\pi(k)\} = \{1,\ldots,k\}$. This statistic is undefined for the empty permutation.
For the number of parts in the decomposition see St000056The decomposition (or block) number of a permutation..
Map
Kreweras complement
Description
Sends the permutation $\pi \in \mathfrak{S}_n$ to the permutation $\pi^{-1}c$ where $c = (1,\ldots,n)$ is the long cycle.
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.