Identifier
Identifier
Values
[.,.] generating graphics... => 0
[.,[.,.]] generating graphics... => 0
[[.,.],.] generating graphics... => 0
[.,[.,[.,.]]] generating graphics... => 0
[.,[[.,.],.]] generating graphics... => 0
[[.,.],[.,.]] generating graphics... => 1
[[.,[.,.]],.] generating graphics... => 0
[[[.,.],.],.] generating graphics... => 0
[.,[.,[.,[.,.]]]] generating graphics... => 0
[.,[.,[[.,.],.]]] generating graphics... => 0
[.,[[.,.],[.,.]]] generating graphics... => 1
[.,[[.,[.,.]],.]] generating graphics... => 0
[.,[[[.,.],.],.]] generating graphics... => 0
[[.,.],[.,[.,.]]] generating graphics... => 1
[[.,.],[[.,.],.]] generating graphics... => 1
[[.,[.,.]],[.,.]] generating graphics... => 1
[[[.,.],.],[.,.]] generating graphics... => 1
[[.,[.,[.,.]]],.] generating graphics... => 0
[[.,[[.,.],.]],.] generating graphics... => 0
[[[.,.],[.,.]],.] generating graphics... => 1
[[[.,[.,.]],.],.] generating graphics... => 0
[[[[.,.],.],.],.] generating graphics... => 0
[.,[.,[.,[.,[.,.]]]]] generating graphics... => 0
[.,[.,[.,[[.,.],.]]]] generating graphics... => 0
[.,[.,[[.,.],[.,.]]]] generating graphics... => 1
[.,[.,[[.,[.,.]],.]]] generating graphics... => 0
[.,[.,[[[.,.],.],.]]] generating graphics... => 0
[.,[[.,.],[.,[.,.]]]] generating graphics... => 1
[.,[[.,.],[[.,.],.]]] generating graphics... => 1
[.,[[.,[.,.]],[.,.]]] generating graphics... => 1
[.,[[[.,.],.],[.,.]]] generating graphics... => 1
[.,[[.,[.,[.,.]]],.]] generating graphics... => 0
[.,[[.,[[.,.],.]],.]] generating graphics... => 0
[.,[[[.,.],[.,.]],.]] generating graphics... => 1
[.,[[[.,[.,.]],.],.]] generating graphics... => 0
[.,[[[[.,.],.],.],.]] generating graphics... => 0
[[.,.],[.,[.,[.,.]]]] generating graphics... => 1
[[.,.],[.,[[.,.],.]]] generating graphics... => 1
[[.,.],[[.,.],[.,.]]] generating graphics... => 2
[[.,.],[[.,[.,.]],.]] generating graphics... => 1
[[.,.],[[[.,.],.],.]] generating graphics... => 1
[[.,[.,.]],[.,[.,.]]] generating graphics... => 1
[[.,[.,.]],[[.,.],.]] generating graphics... => 1
[[[.,.],.],[.,[.,.]]] generating graphics... => 1
[[[.,.],.],[[.,.],.]] generating graphics... => 1
[[.,[.,[.,.]]],[.,.]] generating graphics... => 1
[[.,[[.,.],.]],[.,.]] generating graphics... => 1
[[[.,.],[.,.]],[.,.]] generating graphics... => 2
[[[.,[.,.]],.],[.,.]] generating graphics... => 1
[[[[.,.],.],.],[.,.]] generating graphics... => 1
[[.,[.,[.,[.,.]]]],.] generating graphics... => 0
[[.,[.,[[.,.],.]]],.] generating graphics... => 0
[[.,[[.,.],[.,.]]],.] generating graphics... => 1
[[.,[[.,[.,.]],.]],.] generating graphics... => 0
[[.,[[[.,.],.],.]],.] generating graphics... => 0
[[[.,.],[.,[.,.]]],.] generating graphics... => 1
[[[.,.],[[.,.],.]],.] generating graphics... => 1
[[[.,[.,.]],[.,.]],.] generating graphics... => 1
[[[[.,.],.],[.,.]],.] generating graphics... => 1
[[[.,[.,[.,.]]],.],.] generating graphics... => 0
[[[.,[[.,.],.]],.],.] generating graphics... => 0
[[[[.,.],[.,.]],.],.] generating graphics... => 1
[[[[.,[.,.]],.],.],.] generating graphics... => 0
[[[[[.,.],.],.],.],.] generating graphics... => 0
[.,[.,[.,[.,[.,[.,.]]]]]] generating graphics... => 0
[.,[.,[.,[.,[[.,.],.]]]]] generating graphics... => 0
[.,[.,[.,[[.,.],[.,.]]]]] generating graphics... => 1
[.,[.,[.,[[.,[.,.]],.]]]] generating graphics... => 0
[.,[.,[.,[[[.,.],.],.]]]] generating graphics... => 0
[.,[.,[[.,.],[.,[.,.]]]]] generating graphics... => 1
[.,[.,[[.,.],[[.,.],.]]]] generating graphics... => 1
[.,[.,[[.,[.,.]],[.,.]]]] generating graphics... => 1
[.,[.,[[[.,.],.],[.,.]]]] generating graphics... => 1
[.,[.,[[.,[.,[.,.]]],.]]] generating graphics... => 0
[.,[.,[[.,[[.,.],.]],.]]] generating graphics... => 0
[.,[.,[[[.,.],[.,.]],.]]] generating graphics... => 1
[.,[.,[[[.,[.,.]],.],.]]] generating graphics... => 0
[.,[.,[[[[.,.],.],.],.]]] generating graphics... => 0
[.,[[.,.],[.,[.,[.,.]]]]] generating graphics... => 1
[.,[[.,.],[.,[[.,.],.]]]] generating graphics... => 1
[.,[[.,.],[[.,.],[.,.]]]] generating graphics... => 2
[.,[[.,.],[[.,[.,.]],.]]] generating graphics... => 1
[.,[[.,.],[[[.,.],.],.]]] generating graphics... => 1
[.,[[.,[.,.]],[.,[.,.]]]] generating graphics... => 1
[.,[[.,[.,.]],[[.,.],.]]] generating graphics... => 1
[.,[[[.,.],.],[.,[.,.]]]] generating graphics... => 1
[.,[[[.,.],.],[[.,.],.]]] generating graphics... => 1
[.,[[.,[.,[.,.]]],[.,.]]] generating graphics... => 1
[.,[[.,[[.,.],.]],[.,.]]] generating graphics... => 1
[.,[[[.,.],[.,.]],[.,.]]] generating graphics... => 2
[.,[[[.,[.,.]],.],[.,.]]] generating graphics... => 1
[.,[[[[.,.],.],.],[.,.]]] generating graphics... => 1
[.,[[.,[.,[.,[.,.]]]],.]] generating graphics... => 0
[.,[[.,[.,[[.,.],.]]],.]] generating graphics... => 0
[.,[[.,[[.,.],[.,.]]],.]] generating graphics... => 1
[.,[[.,[[.,[.,.]],.]],.]] generating graphics... => 0
[.,[[.,[[[.,.],.],.]],.]] generating graphics... => 0
[.,[[[.,.],[.,[.,.]]],.]] generating graphics... => 1
[.,[[[.,.],[[.,.],.]],.]] generating graphics... => 1
[.,[[[.,[.,.]],[.,.]],.]] generating graphics... => 1
[.,[[[[.,.],.],[.,.]],.]] generating graphics... => 1
[.,[[[.,[.,[.,.]]],.],.]] generating graphics... => 0
[.,[[[.,[[.,.],.]],.],.]] generating graphics... => 0
[.,[[[[.,.],[.,.]],.],.]] generating graphics... => 1
[.,[[[[.,[.,.]],.],.],.]] generating graphics... => 0
[.,[[[[[.,.],.],.],.],.]] generating graphics... => 0
[[.,.],[.,[.,[.,[.,.]]]]] generating graphics... => 1
[[.,.],[.,[.,[[.,.],.]]]] generating graphics... => 1
[[.,.],[.,[[.,.],[.,.]]]] generating graphics... => 2
[[.,.],[.,[[.,[.,.]],.]]] generating graphics... => 1
[[.,.],[.,[[[.,.],.],.]]] generating graphics... => 1
[[.,.],[[.,.],[.,[.,.]]]] generating graphics... => 2
[[.,.],[[.,.],[[.,.],.]]] generating graphics... => 2
[[.,.],[[.,[.,.]],[.,.]]] generating graphics... => 2
[[.,.],[[[.,.],.],[.,.]]] generating graphics... => 2
[[.,.],[[.,[.,[.,.]]],.]] generating graphics... => 1
[[.,.],[[.,[[.,.],.]],.]] generating graphics... => 1
[[.,.],[[[.,.],[.,.]],.]] generating graphics... => 2
[[.,.],[[[.,[.,.]],.],.]] generating graphics... => 1
[[.,.],[[[[.,.],.],.],.]] generating graphics... => 1
[[.,[.,.]],[.,[.,[.,.]]]] generating graphics... => 1
[[.,[.,.]],[.,[[.,.],.]]] generating graphics... => 1
[[.,[.,.]],[[.,.],[.,.]]] generating graphics... => 2
[[.,[.,.]],[[.,[.,.]],.]] generating graphics... => 1
[[.,[.,.]],[[[.,.],.],.]] generating graphics... => 1
[[[.,.],.],[.,[.,[.,.]]]] generating graphics... => 1
[[[.,.],.],[.,[[.,.],.]]] generating graphics... => 1
[[[.,.],.],[[.,.],[.,.]]] generating graphics... => 2
[[[.,.],.],[[.,[.,.]],.]] generating graphics... => 1
[[[.,.],.],[[[.,.],.],.]] generating graphics... => 1
[[.,[.,[.,.]]],[.,[.,.]]] generating graphics... => 1
[[.,[.,[.,.]]],[[.,.],.]] generating graphics... => 1
[[.,[[.,.],.]],[.,[.,.]]] generating graphics... => 1
[[.,[[.,.],.]],[[.,.],.]] generating graphics... => 1
[[[.,.],[.,.]],[.,[.,.]]] generating graphics... => 2
[[[.,.],[.,.]],[[.,.],.]] generating graphics... => 2
[[[.,[.,.]],.],[.,[.,.]]] generating graphics... => 1
[[[.,[.,.]],.],[[.,.],.]] generating graphics... => 1
[[[[.,.],.],.],[.,[.,.]]] generating graphics... => 1
[[[[.,.],.],.],[[.,.],.]] generating graphics... => 1
[[.,[.,[.,[.,.]]]],[.,.]] generating graphics... => 1
[[.,[.,[[.,.],.]]],[.,.]] generating graphics... => 1
[[.,[[.,.],[.,.]]],[.,.]] generating graphics... => 2
[[.,[[.,[.,.]],.]],[.,.]] generating graphics... => 1
[[.,[[[.,.],.],.]],[.,.]] generating graphics... => 1
[[[.,.],[.,[.,.]]],[.,.]] generating graphics... => 2
[[[.,.],[[.,.],.]],[.,.]] generating graphics... => 2
[[[.,[.,.]],[.,.]],[.,.]] generating graphics... => 2
[[[[.,.],.],[.,.]],[.,.]] generating graphics... => 2
[[[.,[.,[.,.]]],.],[.,.]] generating graphics... => 1
[[[.,[[.,.],.]],.],[.,.]] generating graphics... => 1
[[[[.,.],[.,.]],.],[.,.]] generating graphics... => 2
[[[[.,[.,.]],.],.],[.,.]] generating graphics... => 1
[[[[[.,.],.],.],.],[.,.]] generating graphics... => 1
[[.,[.,[.,[.,[.,.]]]]],.] generating graphics... => 0
[[.,[.,[.,[[.,.],.]]]],.] generating graphics... => 0
[[.,[.,[[.,.],[.,.]]]],.] generating graphics... => 1
[[.,[.,[[.,[.,.]],.]]],.] generating graphics... => 0
[[.,[.,[[[.,.],.],.]]],.] generating graphics... => 0
[[.,[[.,.],[.,[.,.]]]],.] generating graphics... => 1
[[.,[[.,.],[[.,.],.]]],.] generating graphics... => 1
[[.,[[.,[.,.]],[.,.]]],.] generating graphics... => 1
[[.,[[[.,.],.],[.,.]]],.] generating graphics... => 1
[[.,[[.,[.,[.,.]]],.]],.] generating graphics... => 0
[[.,[[.,[[.,.],.]],.]],.] generating graphics... => 0
[[.,[[[.,.],[.,.]],.]],.] generating graphics... => 1
[[.,[[[.,[.,.]],.],.]],.] generating graphics... => 0
[[.,[[[[.,.],.],.],.]],.] generating graphics... => 0
[[[.,.],[.,[.,[.,.]]]],.] generating graphics... => 1
[[[.,.],[.,[[.,.],.]]],.] generating graphics... => 1
[[[.,.],[[.,.],[.,.]]],.] generating graphics... => 2
[[[.,.],[[.,[.,.]],.]],.] generating graphics... => 1
[[[.,.],[[[.,.],.],.]],.] generating graphics... => 1
[[[.,[.,.]],[.,[.,.]]],.] generating graphics... => 1
[[[.,[.,.]],[[.,.],.]],.] generating graphics... => 1
[[[[.,.],.],[.,[.,.]]],.] generating graphics... => 1
[[[[.,.],.],[[.,.],.]],.] generating graphics... => 1
[[[.,[.,[.,.]]],[.,.]],.] generating graphics... => 1
[[[.,[[.,.],.]],[.,.]],.] generating graphics... => 1
[[[[.,.],[.,.]],[.,.]],.] generating graphics... => 2
[[[[.,[.,.]],.],[.,.]],.] generating graphics... => 1
[[[[[.,.],.],.],[.,.]],.] generating graphics... => 1
[[[.,[.,[.,[.,.]]]],.],.] generating graphics... => 0
[[[.,[.,[[.,.],.]]],.],.] generating graphics... => 0
[[[.,[[.,.],[.,.]]],.],.] generating graphics... => 1
[[[.,[[.,[.,.]],.]],.],.] generating graphics... => 0
[[[.,[[[.,.],.],.]],.],.] generating graphics... => 0
[[[[.,.],[.,[.,.]]],.],.] generating graphics... => 1
[[[[.,.],[[.,.],.]],.],.] generating graphics... => 1
[[[[.,[.,.]],[.,.]],.],.] generating graphics... => 1
[[[[[.,.],.],[.,.]],.],.] generating graphics... => 1
[[[[.,[.,[.,.]]],.],.],.] generating graphics... => 0
[[[[.,[[.,.],.]],.],.],.] generating graphics... => 0
[[[[[.,.],[.,.]],.],.],.] generating graphics... => 1
[[[[[.,[.,.]],.],.],.],.] generating graphics... => 0
[[[[[[.,.],.],.],.],.],.] generating graphics... => 0
[.,[.,[.,[.,[.,[.,[.,.]]]]]]] generating graphics... => 0
[.,[.,[.,[.,[.,[[.,.],.]]]]]] generating graphics... => 0
[.,[.,[.,[.,[[.,.],[.,.]]]]]] generating graphics... => 1
[.,[.,[.,[.,[[.,[.,.]],.]]]]] generating graphics... => 0
[.,[.,[.,[.,[[[.,.],.],.]]]]] generating graphics... => 0
[.,[.,[.,[[.,.],[.,[.,.]]]]]] generating graphics... => 1
[.,[.,[.,[[.,.],[[.,.],.]]]]] generating graphics... => 1
[.,[.,[.,[[.,[.,.]],[.,.]]]]] generating graphics... => 1
[.,[.,[.,[[[.,.],.],[.,.]]]]] generating graphics... => 1
[.,[.,[.,[[.,[.,[.,.]]],.]]]] generating graphics... => 0
[.,[.,[.,[[.,[[.,.],.]],.]]]] generating graphics... => 0
[.,[.,[.,[[[.,.],[.,.]],.]]]] generating graphics... => 1
[.,[.,[.,[[[.,[.,.]],.],.]]]] generating graphics... => 0
[.,[.,[.,[[[[.,.],.],.],.]]]] generating graphics... => 0
[.,[.,[[.,.],[.,[.,[.,.]]]]]] generating graphics... => 1
[.,[.,[[.,.],[.,[[.,.],.]]]]] generating graphics... => 1
[.,[.,[[.,.],[[.,.],[.,.]]]]] generating graphics... => 2
[.,[.,[[.,.],[[.,[.,.]],.]]]] generating graphics... => 1
[.,[.,[[.,.],[[[.,.],.],.]]]] generating graphics... => 1
[.,[.,[[.,[.,.]],[.,[.,.]]]]] generating graphics... => 1
[.,[.,[[.,[.,.]],[[.,.],.]]]] generating graphics... => 1
[.,[.,[[[.,.],.],[.,[.,.]]]]] generating graphics... => 1
[.,[.,[[[.,.],.],[[.,.],.]]]] generating graphics... => 1
[.,[.,[[.,[.,[.,.]]],[.,.]]]] generating graphics... => 1
[.,[.,[[.,[[.,.],.]],[.,.]]]] generating graphics... => 1
[.,[.,[[[.,.],[.,.]],[.,.]]]] generating graphics... => 2
[.,[.,[[[.,[.,.]],.],[.,.]]]] generating graphics... => 1
[.,[.,[[[[.,.],.],.],[.,.]]]] generating graphics... => 1
[.,[.,[[.,[.,[.,[.,.]]]],.]]] generating graphics... => 0
[.,[.,[[.,[.,[[.,.],.]]],.]]] generating graphics... => 0
[.,[.,[[.,[[.,.],[.,.]]],.]]] generating graphics... => 1
[.,[.,[[.,[[.,[.,.]],.]],.]]] generating graphics... => 0
[.,[.,[[.,[[[.,.],.],.]],.]]] generating graphics... => 0
[.,[.,[[[.,.],[.,[.,.]]],.]]] generating graphics... => 1
[.,[.,[[[.,.],[[.,.],.]],.]]] generating graphics... => 1
[.,[.,[[[.,[.,.]],[.,.]],.]]] generating graphics... => 1
[.,[.,[[[[.,.],.],[.,.]],.]]] generating graphics... => 1
[.,[.,[[[.,[.,[.,.]]],.],.]]] generating graphics... => 0
[.,[.,[[[.,[[.,.],.]],.],.]]] generating graphics... => 0
[.,[.,[[[[.,.],[.,.]],.],.]]] generating graphics... => 1
[.,[.,[[[[.,[.,.]],.],.],.]]] generating graphics... => 0
[.,[.,[[[[[.,.],.],.],.],.]]] generating graphics... => 0
[.,[[.,.],[.,[.,[.,[.,.]]]]]] generating graphics... => 1
[.,[[.,.],[.,[.,[[.,.],.]]]]] generating graphics... => 1
[.,[[.,.],[.,[[.,.],[.,.]]]]] generating graphics... => 2
[.,[[.,.],[.,[[.,[.,.]],.]]]] generating graphics... => 1
[.,[[.,.],[.,[[[.,.],.],.]]]] generating graphics... => 1
[.,[[.,.],[[.,.],[.,[.,.]]]]] generating graphics... => 2
[.,[[.,.],[[.,.],[[.,.],.]]]] generating graphics... => 2
[.,[[.,.],[[.,[.,.]],[.,.]]]] generating graphics... => 2
[.,[[.,.],[[[.,.],.],[.,.]]]] generating graphics... => 2
[.,[[.,.],[[.,[.,[.,.]]],.]]] generating graphics... => 1
[.,[[.,.],[[.,[[.,.],.]],.]]] generating graphics... => 1
[.,[[.,.],[[[.,.],[.,.]],.]]] generating graphics... => 2
[.,[[.,.],[[[.,[.,.]],.],.]]] generating graphics... => 1
[.,[[.,.],[[[[.,.],.],.],.]]] generating graphics... => 1
[.,[[.,[.,.]],[.,[.,[.,.]]]]] generating graphics... => 1
[.,[[.,[.,.]],[.,[[.,.],.]]]] generating graphics... => 1
[.,[[.,[.,.]],[[.,.],[.,.]]]] generating graphics... => 2
[.,[[.,[.,.]],[[.,[.,.]],.]]] generating graphics... => 1
[.,[[.,[.,.]],[[[.,.],.],.]]] generating graphics... => 1
[.,[[[.,.],.],[.,[.,[.,.]]]]] generating graphics... => 1
[.,[[[.,.],.],[.,[[.,.],.]]]] generating graphics... => 1
[.,[[[.,.],.],[[.,.],[.,.]]]] generating graphics... => 2
[.,[[[.,.],.],[[.,[.,.]],.]]] generating graphics... => 1
[.,[[[.,.],.],[[[.,.],.],.]]] generating graphics... => 1
[.,[[.,[.,[.,.]]],[.,[.,.]]]] generating graphics... => 1
[.,[[.,[.,[.,.]]],[[.,.],.]]] generating graphics... => 1
[.,[[.,[[.,.],.]],[.,[.,.]]]] generating graphics... => 1
[.,[[.,[[.,.],.]],[[.,.],.]]] generating graphics... => 1
[.,[[[.,.],[.,.]],[.,[.,.]]]] generating graphics... => 2
[.,[[[.,.],[.,.]],[[.,.],.]]] generating graphics... => 2
[.,[[[.,[.,.]],.],[.,[.,.]]]] generating graphics... => 1
[.,[[[.,[.,.]],.],[[.,.],.]]] generating graphics... => 1
[.,[[[[.,.],.],.],[.,[.,.]]]] generating graphics... => 1
[.,[[[[.,.],.],.],[[.,.],.]]] generating graphics... => 1
[.,[[.,[.,[.,[.,.]]]],[.,.]]] generating graphics... => 1
[.,[[.,[.,[[.,.],.]]],[.,.]]] generating graphics... => 1
[.,[[.,[[.,.],[.,.]]],[.,.]]] generating graphics... => 2
[.,[[.,[[.,[.,.]],.]],[.,.]]] generating graphics... => 1
[.,[[.,[[[.,.],.],.]],[.,.]]] generating graphics... => 1
[.,[[[.,.],[.,[.,.]]],[.,.]]] generating graphics... => 2
[.,[[[.,.],[[.,.],.]],[.,.]]] generating graphics... => 2
[.,[[[.,[.,.]],[.,.]],[.,.]]] generating graphics... => 2
[.,[[[[.,.],.],[.,.]],[.,.]]] generating graphics... => 2
[.,[[[.,[.,[.,.]]],.],[.,.]]] generating graphics... => 1
[.,[[[.,[[.,.],.]],.],[.,.]]] generating graphics... => 1
[.,[[[[.,.],[.,.]],.],[.,.]]] generating graphics... => 2
[.,[[[[.,[.,.]],.],.],[.,.]]] generating graphics... => 1
[.,[[[[[.,.],.],.],.],[.,.]]] generating graphics... => 1
[.,[[.,[.,[.,[.,[.,.]]]]],.]] generating graphics... => 0
[.,[[.,[.,[.,[[.,.],.]]]],.]] generating graphics... => 0
[.,[[.,[.,[[.,.],[.,.]]]],.]] generating graphics... => 1
[.,[[.,[.,[[.,[.,.]],.]]],.]] generating graphics... => 0
[.,[[.,[.,[[[.,.],.],.]]],.]] generating graphics... => 0
[.,[[.,[[.,.],[.,[.,.]]]],.]] generating graphics... => 1
[.,[[.,[[.,.],[[.,.],.]]],.]] generating graphics... => 1
[.,[[.,[[.,[.,.]],[.,.]]],.]] generating graphics... => 1
[.,[[.,[[[.,.],.],[.,.]]],.]] generating graphics... => 1
[.,[[.,[[.,[.,[.,.]]],.]],.]] generating graphics... => 0
[.,[[.,[[.,[[.,.],.]],.]],.]] generating graphics... => 0
[.,[[.,[[[.,.],[.,.]],.]],.]] generating graphics... => 1
[.,[[.,[[[.,[.,.]],.],.]],.]] generating graphics... => 0
[.,[[.,[[[[.,.],.],.],.]],.]] generating graphics... => 0
[.,[[[.,.],[.,[.,[.,.]]]],.]] generating graphics... => 1
[.,[[[.,.],[.,[[.,.],.]]],.]] generating graphics... => 1
[.,[[[.,.],[[.,.],[.,.]]],.]] generating graphics... => 2
[.,[[[.,.],[[.,[.,.]],.]],.]] generating graphics... => 1
[.,[[[.,.],[[[.,.],.],.]],.]] generating graphics... => 1
[.,[[[.,[.,.]],[.,[.,.]]],.]] generating graphics... => 1
[.,[[[.,[.,.]],[[.,.],.]],.]] generating graphics... => 1
[.,[[[[.,.],.],[.,[.,.]]],.]] generating graphics... => 1
[.,[[[[.,.],.],[[.,.],.]],.]] generating graphics... => 1
[.,[[[.,[.,[.,.]]],[.,.]],.]] generating graphics... => 1
[.,[[[.,[[.,.],.]],[.,.]],.]] generating graphics... => 1
[.,[[[[.,.],[.,.]],[.,.]],.]] generating graphics... => 2
[.,[[[[.,[.,.]],.],[.,.]],.]] generating graphics... => 1
[.,[[[[[.,.],.],.],[.,.]],.]] generating graphics... => 1
[.,[[[.,[.,[.,[.,.]]]],.],.]] generating graphics... => 0
[.,[[[.,[.,[[.,.],.]]],.],.]] generating graphics... => 0
[.,[[[.,[[.,.],[.,.]]],.],.]] generating graphics... => 1
[.,[[[.,[[.,[.,.]],.]],.],.]] generating graphics... => 0
[.,[[[.,[[[.,.],.],.]],.],.]] generating graphics... => 0
[.,[[[[.,.],[.,[.,.]]],.],.]] generating graphics... => 1
[.,[[[[.,.],[[.,.],.]],.],.]] generating graphics... => 1
[.,[[[[.,[.,.]],[.,.]],.],.]] generating graphics... => 1
[.,[[[[[.,.],.],[.,.]],.],.]] generating graphics... => 1
[.,[[[[.,[.,[.,.]]],.],.],.]] generating graphics... => 0
[.,[[[[.,[[.,.],.]],.],.],.]] generating graphics... => 0
[.,[[[[[.,.],[.,.]],.],.],.]] generating graphics... => 1
[.,[[[[[.,[.,.]],.],.],.],.]] generating graphics... => 0
[.,[[[[[[.,.],.],.],.],.],.]] generating graphics... => 0
[[.,.],[.,[.,[.,[.,[.,.]]]]]] generating graphics... => 1
[[.,.],[.,[.,[.,[[.,.],.]]]]] generating graphics... => 1
[[.,.],[.,[.,[[.,.],[.,.]]]]] generating graphics... => 2
[[.,.],[.,[.,[[.,[.,.]],.]]]] generating graphics... => 1
[[.,.],[.,[.,[[[.,.],.],.]]]] generating graphics... => 1
[[.,.],[.,[[.,.],[.,[.,.]]]]] generating graphics... => 2
[[.,.],[.,[[.,.],[[.,.],.]]]] generating graphics... => 2
[[.,.],[.,[[.,[.,.]],[.,.]]]] generating graphics... => 2
[[.,.],[.,[[[.,.],.],[.,.]]]] generating graphics... => 2
[[.,.],[.,[[.,[.,[.,.]]],.]]] generating graphics... => 1
[[.,.],[.,[[.,[[.,.],.]],.]]] generating graphics... => 1
[[.,.],[.,[[[.,.],[.,.]],.]]] generating graphics... => 2
[[.,.],[.,[[[.,[.,.]],.],.]]] generating graphics... => 1
[[.,.],[.,[[[[.,.],.],.],.]]] generating graphics... => 1
[[.,.],[[.,.],[.,[.,[.,.]]]]] generating graphics... => 2
[[.,.],[[.,.],[.,[[.,.],.]]]] generating graphics... => 2
[[.,.],[[.,.],[[.,.],[.,.]]]] generating graphics... => 3
[[.,.],[[.,.],[[.,[.,.]],.]]] generating graphics... => 2
[[.,.],[[.,.],[[[.,.],.],.]]] generating graphics... => 2
[[.,.],[[.,[.,.]],[.,[.,.]]]] generating graphics... => 2
[[.,.],[[.,[.,.]],[[.,.],.]]] generating graphics... => 2
[[.,.],[[[.,.],.],[.,[.,.]]]] generating graphics... => 2
[[.,.],[[[.,.],.],[[.,.],.]]] generating graphics... => 2
[[.,.],[[.,[.,[.,.]]],[.,.]]] generating graphics... => 2
[[.,.],[[.,[[.,.],.]],[.,.]]] generating graphics... => 2
[[.,.],[[[.,.],[.,.]],[.,.]]] generating graphics... => 3
[[.,.],[[[.,[.,.]],.],[.,.]]] generating graphics... => 2
[[.,.],[[[[.,.],.],.],[.,.]]] generating graphics... => 2
[[.,.],[[.,[.,[.,[.,.]]]],.]] generating graphics... => 1
[[.,.],[[.,[.,[[.,.],.]]],.]] generating graphics... => 1
[[.,.],[[.,[[.,.],[.,.]]],.]] generating graphics... => 2
[[.,.],[[.,[[.,[.,.]],.]],.]] generating graphics... => 1
[[.,.],[[.,[[[.,.],.],.]],.]] generating graphics... => 1
[[.,.],[[[.,.],[.,[.,.]]],.]] generating graphics... => 2
[[.,.],[[[.,.],[[.,.],.]],.]] generating graphics... => 2
[[.,.],[[[.,[.,.]],[.,.]],.]] generating graphics... => 2
[[.,.],[[[[.,.],.],[.,.]],.]] generating graphics... => 2
[[.,.],[[[.,[.,[.,.]]],.],.]] generating graphics... => 1
[[.,.],[[[.,[[.,.],.]],.],.]] generating graphics... => 1
[[.,.],[[[[.,.],[.,.]],.],.]] generating graphics... => 2
[[.,.],[[[[.,[.,.]],.],.],.]] generating graphics... => 1
[[.,.],[[[[[.,.],.],.],.],.]] generating graphics... => 1
[[.,[.,.]],[.,[.,[.,[.,.]]]]] generating graphics... => 1
[[.,[.,.]],[.,[.,[[.,.],.]]]] generating graphics... => 1
[[.,[.,.]],[.,[[.,.],[.,.]]]] generating graphics... => 2
[[.,[.,.]],[.,[[.,[.,.]],.]]] generating graphics... => 1
[[.,[.,.]],[.,[[[.,.],.],.]]] generating graphics... => 1
[[.,[.,.]],[[.,.],[.,[.,.]]]] generating graphics... => 2
[[.,[.,.]],[[.,.],[[.,.],.]]] generating graphics... => 2
[[.,[.,.]],[[.,[.,.]],[.,.]]] generating graphics... => 2
[[.,[.,.]],[[[.,.],.],[.,.]]] generating graphics... => 2
[[.,[.,.]],[[.,[.,[.,.]]],.]] generating graphics... => 1
[[.,[.,.]],[[.,[[.,.],.]],.]] generating graphics... => 1
[[.,[.,.]],[[[.,.],[.,.]],.]] generating graphics... => 2
[[.,[.,.]],[[[.,[.,.]],.],.]] generating graphics... => 1
[[.,[.,.]],[[[[.,.],.],.],.]] generating graphics... => 1
[[[.,.],.],[.,[.,[.,[.,.]]]]] generating graphics... => 1
[[[.,.],.],[.,[.,[[.,.],.]]]] generating graphics... => 1
[[[.,.],.],[.,[[.,.],[.,.]]]] generating graphics... => 2
[[[.,.],.],[.,[[.,[.,.]],.]]] generating graphics... => 1
[[[.,.],.],[.,[[[.,.],.],.]]] generating graphics... => 1
[[[.,.],.],[[.,.],[.,[.,.]]]] generating graphics... => 2
[[[.,.],.],[[.,.],[[.,.],.]]] generating graphics... => 2
[[[.,.],.],[[.,[.,.]],[.,.]]] generating graphics... => 2
[[[.,.],.],[[[.,.],.],[.,.]]] generating graphics... => 2
[[[.,.],.],[[.,[.,[.,.]]],.]] generating graphics... => 1
[[[.,.],.],[[.,[[.,.],.]],.]] generating graphics... => 1
[[[.,.],.],[[[.,.],[.,.]],.]] generating graphics... => 2
[[[.,.],.],[[[.,[.,.]],.],.]] generating graphics... => 1
[[[.,.],.],[[[[.,.],.],.],.]] generating graphics... => 1
[[.,[.,[.,.]]],[.,[.,[.,.]]]] generating graphics... => 1
[[.,[.,[.,.]]],[.,[[.,.],.]]] generating graphics... => 1
[[.,[.,[.,.]]],[[.,.],[.,.]]] generating graphics... => 2
[[.,[.,[.,.]]],[[.,[.,.]],.]] generating graphics... => 1
[[.,[.,[.,.]]],[[[.,.],.],.]] generating graphics... => 1
[[.,[[.,.],.]],[.,[.,[.,.]]]] generating graphics... => 1
[[.,[[.,.],.]],[.,[[.,.],.]]] generating graphics... => 1
[[.,[[.,.],.]],[[.,.],[.,.]]] generating graphics... => 2
[[.,[[.,.],.]],[[.,[.,.]],.]] generating graphics... => 1
[[.,[[.,.],.]],[[[.,.],.],.]] generating graphics... => 1
[[[.,.],[.,.]],[.,[.,[.,.]]]] generating graphics... => 2
[[[.,.],[.,.]],[.,[[.,.],.]]] generating graphics... => 2
[[[.,.],[.,.]],[[.,.],[.,.]]] generating graphics... => 3
[[[.,.],[.,.]],[[.,[.,.]],.]] generating graphics... => 2
[[[.,.],[.,.]],[[[.,.],.],.]] generating graphics... => 2
[[[.,[.,.]],.],[.,[.,[.,.]]]] generating graphics... => 1
[[[.,[.,.]],.],[.,[[.,.],.]]] generating graphics... => 1
[[[.,[.,.]],.],[[.,.],[.,.]]] generating graphics... => 2
[[[.,[.,.]],.],[[.,[.,.]],.]] generating graphics... => 1
[[[.,[.,.]],.],[[[.,.],.],.]] generating graphics... => 1
[[[[.,.],.],.],[.,[.,[.,.]]]] generating graphics... => 1
[[[[.,.],.],.],[.,[[.,.],.]]] generating graphics... => 1
[[[[.,.],.],.],[[.,.],[.,.]]] generating graphics... => 2
[[[[.,.],.],.],[[.,[.,.]],.]] generating graphics... => 1
[[[[.,.],.],.],[[[.,.],.],.]] generating graphics... => 1
[[.,[.,[.,[.,.]]]],[.,[.,.]]] generating graphics... => 1
[[.,[.,[.,[.,.]]]],[[.,.],.]] generating graphics... => 1
[[.,[.,[[.,.],.]]],[.,[.,.]]] generating graphics... => 1
[[.,[.,[[.,.],.]]],[[.,.],.]] generating graphics... => 1
[[.,[[.,.],[.,.]]],[.,[.,.]]] generating graphics... => 2
[[.,[[.,.],[.,.]]],[[.,.],.]] generating graphics... => 2
[[.,[[.,[.,.]],.]],[.,[.,.]]] generating graphics... => 1
[[.,[[.,[.,.]],.]],[[.,.],.]] generating graphics... => 1
[[.,[[[.,.],.],.]],[.,[.,.]]] generating graphics... => 1
[[.,[[[.,.],.],.]],[[.,.],.]] generating graphics... => 1
[[[.,.],[.,[.,.]]],[.,[.,.]]] generating graphics... => 2
[[[.,.],[.,[.,.]]],[[.,.],.]] generating graphics... => 2
[[[.,.],[[.,.],.]],[.,[.,.]]] generating graphics... => 2
[[[.,.],[[.,.],.]],[[.,.],.]] generating graphics... => 2
[[[.,[.,.]],[.,.]],[.,[.,.]]] generating graphics... => 2
[[[.,[.,.]],[.,.]],[[.,.],.]] generating graphics... => 2
[[[[.,.],.],[.,.]],[.,[.,.]]] generating graphics... => 2
[[[[.,.],.],[.,.]],[[.,.],.]] generating graphics... => 2
[[[.,[.,[.,.]]],.],[.,[.,.]]] generating graphics... => 1
[[[.,[.,[.,.]]],.],[[.,.],.]] generating graphics... => 1
[[[.,[[.,.],.]],.],[.,[.,.]]] generating graphics... => 1
[[[.,[[.,.],.]],.],[[.,.],.]] generating graphics... => 1
[[[[.,.],[.,.]],.],[.,[.,.]]] generating graphics... => 2
[[[[.,.],[.,.]],.],[[.,.],.]] generating graphics... => 2
[[[[.,[.,.]],.],.],[.,[.,.]]] generating graphics... => 1
[[[[.,[.,.]],.],.],[[.,.],.]] generating graphics... => 1
[[[[[.,.],.],.],.],[.,[.,.]]] generating graphics... => 1
[[[[[.,.],.],.],.],[[.,.],.]] generating graphics... => 1
[[.,[.,[.,[.,[.,.]]]]],[.,.]] generating graphics... => 1
[[.,[.,[.,[[.,.],.]]]],[.,.]] generating graphics... => 1
[[.,[.,[[.,.],[.,.]]]],[.,.]] generating graphics... => 2
[[.,[.,[[.,[.,.]],.]]],[.,.]] generating graphics... => 1
[[.,[.,[[[.,.],.],.]]],[.,.]] generating graphics... => 1
[[.,[[.,.],[.,[.,.]]]],[.,.]] generating graphics... => 2
[[.,[[.,.],[[.,.],.]]],[.,.]] generating graphics... => 2
[[.,[[.,[.,.]],[.,.]]],[.,.]] generating graphics... => 2
[[.,[[[.,.],.],[.,.]]],[.,.]] generating graphics... => 2
[[.,[[.,[.,[.,.]]],.]],[.,.]] generating graphics... => 1
[[.,[[.,[[.,.],.]],.]],[.,.]] generating graphics... => 1
[[.,[[[.,.],[.,.]],.]],[.,.]] generating graphics... => 2
[[.,[[[.,[.,.]],.],.]],[.,.]] generating graphics... => 1
[[.,[[[[.,.],.],.],.]],[.,.]] generating graphics... => 1
[[[.,.],[.,[.,[.,.]]]],[.,.]] generating graphics... => 2
[[[.,.],[.,[[.,.],.]]],[.,.]] generating graphics... => 2
[[[.,.],[[.,.],[.,.]]],[.,.]] generating graphics... => 3
[[[.,.],[[.,[.,.]],.]],[.,.]] generating graphics... => 2
[[[.,.],[[[.,.],.],.]],[.,.]] generating graphics... => 2
[[[.,[.,.]],[.,[.,.]]],[.,.]] generating graphics... => 2
[[[.,[.,.]],[[.,.],.]],[.,.]] generating graphics... => 2
[[[[.,.],.],[.,[.,.]]],[.,.]] generating graphics... => 2
[[[[.,.],.],[[.,.],.]],[.,.]] generating graphics... => 2
[[[.,[.,[.,.]]],[.,.]],[.,.]] generating graphics... => 2
[[[.,[[.,.],.]],[.,.]],[.,.]] generating graphics... => 2
[[[[.,.],[.,.]],[.,.]],[.,.]] generating graphics... => 3
[[[[.,[.,.]],.],[.,.]],[.,.]] generating graphics... => 2
[[[[[.,.],.],.],[.,.]],[.,.]] generating graphics... => 2
[[[.,[.,[.,[.,.]]]],.],[.,.]] generating graphics... => 1
[[[.,[.,[[.,.],.]]],.],[.,.]] generating graphics... => 1
[[[.,[[.,.],[.,.]]],.],[.,.]] generating graphics... => 2
[[[.,[[.,[.,.]],.]],.],[.,.]] generating graphics... => 1
[[[.,[[[.,.],.],.]],.],[.,.]] generating graphics... => 1
[[[[.,.],[.,[.,.]]],.],[.,.]] generating graphics... => 2
[[[[.,.],[[.,.],.]],.],[.,.]] generating graphics... => 2
[[[[.,[.,.]],[.,.]],.],[.,.]] generating graphics... => 2
[[[[[.,.],.],[.,.]],.],[.,.]] generating graphics... => 2
[[[[.,[.,[.,.]]],.],.],[.,.]] generating graphics... => 1
[[[[.,[[.,.],.]],.],.],[.,.]] generating graphics... => 1
[[[[[.,.],[.,.]],.],.],[.,.]] generating graphics... => 2
[[[[[.,[.,.]],.],.],.],[.,.]] generating graphics... => 1
[[[[[[.,.],.],.],.],.],[.,.]] generating graphics... => 1
[[.,[.,[.,[.,[.,[.,.]]]]]],.] generating graphics... => 0
[[.,[.,[.,[.,[[.,.],.]]]]],.] generating graphics... => 0
[[.,[.,[.,[[.,.],[.,.]]]]],.] generating graphics... => 1
[[.,[.,[.,[[.,[.,.]],.]]]],.] generating graphics... => 0
[[.,[.,[.,[[[.,.],.],.]]]],.] generating graphics... => 0
[[.,[.,[[.,.],[.,[.,.]]]]],.] generating graphics... => 1
[[.,[.,[[.,.],[[.,.],.]]]],.] generating graphics... => 1
[[.,[.,[[.,[.,.]],[.,.]]]],.] generating graphics... => 1
[[.,[.,[[[.,.],.],[.,.]]]],.] generating graphics... => 1
[[.,[.,[[.,[.,[.,.]]],.]]],.] generating graphics... => 0
[[.,[.,[[.,[[.,.],.]],.]]],.] generating graphics... => 0
[[.,[.,[[[.,.],[.,.]],.]]],.] generating graphics... => 1
[[.,[.,[[[.,[.,.]],.],.]]],.] generating graphics... => 0
[[.,[.,[[[[.,.],.],.],.]]],.] generating graphics... => 0
[[.,[[.,.],[.,[.,[.,.]]]]],.] generating graphics... => 1
[[.,[[.,.],[.,[[.,.],.]]]],.] generating graphics... => 1
[[.,[[.,.],[[.,.],[.,.]]]],.] generating graphics... => 2
[[.,[[.,.],[[.,[.,.]],.]]],.] generating graphics... => 1
[[.,[[.,.],[[[.,.],.],.]]],.] generating graphics... => 1
[[.,[[.,[.,.]],[.,[.,.]]]],.] generating graphics... => 1
[[.,[[.,[.,.]],[[.,.],.]]],.] generating graphics... => 1
[[.,[[[.,.],.],[.,[.,.]]]],.] generating graphics... => 1
[[.,[[[.,.],.],[[.,.],.]]],.] generating graphics... => 1
[[.,[[.,[.,[.,.]]],[.,.]]],.] generating graphics... => 1
[[.,[[.,[[.,.],.]],[.,.]]],.] generating graphics... => 1
[[.,[[[.,.],[.,.]],[.,.]]],.] generating graphics... => 2
[[.,[[[.,[.,.]],.],[.,.]]],.] generating graphics... => 1
[[.,[[[[.,.],.],.],[.,.]]],.] generating graphics... => 1
[[.,[[.,[.,[.,[.,.]]]],.]],.] generating graphics... => 0
[[.,[[.,[.,[[.,.],.]]],.]],.] generating graphics... => 0
[[.,[[.,[[.,.],[.,.]]],.]],.] generating graphics... => 1
[[.,[[.,[[.,[.,.]],.]],.]],.] generating graphics... => 0
[[.,[[.,[[[.,.],.],.]],.]],.] generating graphics... => 0
[[.,[[[.,.],[.,[.,.]]],.]],.] generating graphics... => 1
[[.,[[[.,.],[[.,.],.]],.]],.] generating graphics... => 1
[[.,[[[.,[.,.]],[.,.]],.]],.] generating graphics... => 1
[[.,[[[[.,.],.],[.,.]],.]],.] generating graphics... => 1
[[.,[[[.,[.,[.,.]]],.],.]],.] generating graphics... => 0
[[.,[[[.,[[.,.],.]],.],.]],.] generating graphics... => 0
[[.,[[[[.,.],[.,.]],.],.]],.] generating graphics... => 1
[[.,[[[[.,[.,.]],.],.],.]],.] generating graphics... => 0
[[.,[[[[[.,.],.],.],.],.]],.] generating graphics... => 0
[[[.,.],[.,[.,[.,[.,.]]]]],.] generating graphics... => 1
[[[.,.],[.,[.,[[.,.],.]]]],.] generating graphics... => 1
[[[.,.],[.,[[.,.],[.,.]]]],.] generating graphics... => 2
[[[.,.],[.,[[.,[.,.]],.]]],.] generating graphics... => 1
[[[.,.],[.,[[[.,.],.],.]]],.] generating graphics... => 1
[[[.,.],[[.,.],[.,[.,.]]]],.] generating graphics... => 2
[[[.,.],[[.,.],[[.,.],.]]],.] generating graphics... => 2
[[[.,.],[[.,[.,.]],[.,.]]],.] generating graphics... => 2
[[[.,.],[[[.,.],.],[.,.]]],.] generating graphics... => 2
[[[.,.],[[.,[.,[.,.]]],.]],.] generating graphics... => 1
[[[.,.],[[.,[[.,.],.]],.]],.] generating graphics... => 1
[[[.,.],[[[.,.],[.,.]],.]],.] generating graphics... => 2
[[[.,.],[[[.,[.,.]],.],.]],.] generating graphics... => 1
[[[.,.],[[[[.,.],.],.],.]],.] generating graphics... => 1
[[[.,[.,.]],[.,[.,[.,.]]]],.] generating graphics... => 1
[[[.,[.,.]],[.,[[.,.],.]]],.] generating graphics... => 1
[[[.,[.,.]],[[.,.],[.,.]]],.] generating graphics... => 2
[[[.,[.,.]],[[.,[.,.]],.]],.] generating graphics... => 1
[[[.,[.,.]],[[[.,.],.],.]],.] generating graphics... => 1
[[[[.,.],.],[.,[.,[.,.]]]],.] generating graphics... => 1
[[[[.,.],.],[.,[[.,.],.]]],.] generating graphics... => 1
[[[[.,.],.],[[.,.],[.,.]]],.] generating graphics... => 2
[[[[.,.],.],[[.,[.,.]],.]],.] generating graphics... => 1
[[[[.,.],.],[[[.,.],.],.]],.] generating graphics... => 1
[[[.,[.,[.,.]]],[.,[.,.]]],.] generating graphics... => 1
[[[.,[.,[.,.]]],[[.,.],.]],.] generating graphics... => 1
[[[.,[[.,.],.]],[.,[.,.]]],.] generating graphics... => 1
[[[.,[[.,.],.]],[[.,.],.]],.] generating graphics... => 1
[[[[.,.],[.,.]],[.,[.,.]]],.] generating graphics... => 2
[[[[.,.],[.,.]],[[.,.],.]],.] generating graphics... => 2
[[[[.,[.,.]],.],[.,[.,.]]],.] generating graphics... => 1
[[[[.,[.,.]],.],[[.,.],.]],.] generating graphics... => 1
[[[[[.,.],.],.],[.,[.,.]]],.] generating graphics... => 1
[[[[[.,.],.],.],[[.,.],.]],.] generating graphics... => 1
[[[.,[.,[.,[.,.]]]],[.,.]],.] generating graphics... => 1
[[[.,[.,[[.,.],.]]],[.,.]],.] generating graphics... => 1
[[[.,[[.,.],[.,.]]],[.,.]],.] generating graphics... => 2
[[[.,[[.,[.,.]],.]],[.,.]],.] generating graphics... => 1
[[[.,[[[.,.],.],.]],[.,.]],.] generating graphics... => 1
[[[[.,.],[.,[.,.]]],[.,.]],.] generating graphics... => 2
[[[[.,.],[[.,.],.]],[.,.]],.] generating graphics... => 2
[[[[.,[.,.]],[.,.]],[.,.]],.] generating graphics... => 2
[[[[[.,.],.],[.,.]],[.,.]],.] generating graphics... => 2
[[[[.,[.,[.,.]]],.],[.,.]],.] generating graphics... => 1
[[[[.,[[.,.],.]],.],[.,.]],.] generating graphics... => 1
[[[[[.,.],[.,.]],.],[.,.]],.] generating graphics... => 2
[[[[[.,[.,.]],.],.],[.,.]],.] generating graphics... => 1
[[[[[[.,.],.],.],.],[.,.]],.] generating graphics... => 1
[[[.,[.,[.,[.,[.,.]]]]],.],.] generating graphics... => 0
[[[.,[.,[.,[[.,.],.]]]],.],.] generating graphics... => 0
[[[.,[.,[[.,.],[.,.]]]],.],.] generating graphics... => 1
[[[.,[.,[[.,[.,.]],.]]],.],.] generating graphics... => 0
[[[.,[.,[[[.,.],.],.]]],.],.] generating graphics... => 0
[[[.,[[.,.],[.,[.,.]]]],.],.] generating graphics... => 1
[[[.,[[.,.],[[.,.],.]]],.],.] generating graphics... => 1
[[[.,[[.,[.,.]],[.,.]]],.],.] generating graphics... => 1
[[[.,[[[.,.],.],[.,.]]],.],.] generating graphics... => 1
[[[.,[[.,[.,[.,.]]],.]],.],.] generating graphics... => 0
[[[.,[[.,[[.,.],.]],.]],.],.] generating graphics... => 0
[[[.,[[[.,.],[.,.]],.]],.],.] generating graphics... => 1
[[[.,[[[.,[.,.]],.],.]],.],.] generating graphics... => 0
[[[.,[[[[.,.],.],.],.]],.],.] generating graphics... => 0
[[[[.,.],[.,[.,[.,.]]]],.],.] generating graphics... => 1
[[[[.,.],[.,[[.,.],.]]],.],.] generating graphics... => 1
[[[[.,.],[[.,.],[.,.]]],.],.] generating graphics... => 2
[[[[.,.],[[.,[.,.]],.]],.],.] generating graphics... => 1
[[[[.,.],[[[.,.],.],.]],.],.] generating graphics... => 1
[[[[.,[.,.]],[.,[.,.]]],.],.] generating graphics... => 1
[[[[.,[.,.]],[[.,.],.]],.],.] generating graphics... => 1
[[[[[.,.],.],[.,[.,.]]],.],.] generating graphics... => 1
[[[[[.,.],.],[[.,.],.]],.],.] generating graphics... => 1
[[[[.,[.,[.,.]]],[.,.]],.],.] generating graphics... => 1
[[[[.,[[.,.],.]],[.,.]],.],.] generating graphics... => 1
[[[[[.,.],[.,.]],[.,.]],.],.] generating graphics... => 2
[[[[[.,[.,.]],.],[.,.]],.],.] generating graphics... => 1
[[[[[[.,.],.],.],[.,.]],.],.] generating graphics... => 1
[[[[.,[.,[.,[.,.]]]],.],.],.] generating graphics... => 0
[[[[.,[.,[[.,.],.]]],.],.],.] generating graphics... => 0
[[[[.,[[.,.],[.,.]]],.],.],.] generating graphics... => 1
[[[[.,[[.,[.,.]],.]],.],.],.] generating graphics... => 0
[[[[.,[[[.,.],.],.]],.],.],.] generating graphics... => 0
[[[[[.,.],[.,[.,.]]],.],.],.] generating graphics... => 1
[[[[[.,.],[[.,.],.]],.],.],.] generating graphics... => 1
[[[[[.,[.,.]],[.,.]],.],.],.] generating graphics... => 1
[[[[[[.,.],.],[.,.]],.],.],.] generating graphics... => 1
[[[[[.,[.,[.,.]]],.],.],.],.] generating graphics... => 0
[[[[[.,[[.,.],.]],.],.],.],.] generating graphics... => 0
[[[[[[.,.],[.,.]],.],.],.],.] generating graphics... => 1
[[[[[[.,[.,.]],.],.],.],.],.] generating graphics... => 0
[[[[[[[.,.],.],.],.],.],.],.] generating graphics... => 0
click to show generating function       
Description
The number of occurrences of the contiguous pattern [[.,.],[.,.]] in a binary tree.
Equivalently, this is the number of branches in the tree, i.e. the number of nodes with two children. Binary trees avoiding this pattern are counted by $2^{n-2}$.
Code
# BinaryTree -> Bool
def is_leaf(b):
    return b == BinaryTree('.')

# BinaryTree -> Int
def hat_count(b):
    if is_leaf(b):
        return 0
    if not is_leaf(b[0]) and not is_leaf(b[1]):
        return 1
    return 0

# (a -> a -> a) -> (BinaryTree -> a) -> BinaryTree -> a
def fold_tree(f, g, b):
    if is_leaf(b):
        return g(b)
    else:
        return f(g(b), f(fold_tree(f, g, b[0]), fold_tree(f, g, b[1])))

def statistic(b):
    return fold_tree(lambda a,b: a+b, hat_count, b)

Created
May 15, 2014 at 08:57 by Joseph Ching
Updated
May 30, 2016 at 11:58 by Christian Stump