Identifier
Identifier
  • St000024: Dyck paths ⟶ ℤ (values match St000443The number of long tunnels of a Dyck path., St001007Number of simple modules with projective dimension 1 in the Nakayama algebra corresponding to the Dyck path., St001187The number of simple modules with grade at least one in the corresponding Nakayama algebra., St001224Let X be the direct sum of all simple modules of the corresponding Nakayama algebra.)
Values
[] generating graphics... => 0
[1,0] generating graphics... => 0
[1,0,1,0] generating graphics... => 0
[1,1,0,0] generating graphics... => 1
[1,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,1,1,0,0,0,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 4
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 4
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 4
[1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 4
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 4
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 4
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 4
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 4
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 4
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 4
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 4
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 4
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 4
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 4
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 4
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 4
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 4
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 4
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 4
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 4
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 4
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 4
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 4
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 4
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 4
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 4
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 4
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 4
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 4
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 5
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] generating graphics... => 4
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] generating graphics... => 4
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] generating graphics... => 4
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] generating graphics... => 4
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] generating graphics... => 4
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] generating graphics... => 5
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] generating graphics... => 4
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] generating graphics... => 4
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] generating graphics... => 4
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] generating graphics... => 4
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] generating graphics... => 4
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] generating graphics... => 4
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] generating graphics... => 4
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] generating graphics... => 4
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] generating graphics... => 5
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] generating graphics... => 4
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] generating graphics... => 4
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] generating graphics... => 4
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] generating graphics... => 4
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] generating graphics... => 5
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] generating graphics... => 4
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] generating graphics... => 4
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] generating graphics... => 4
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] generating graphics... => 4
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] generating graphics... => 5
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] generating graphics... => 4
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] generating graphics... => 4
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] generating graphics... => 4
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] generating graphics... => 4
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] generating graphics... => 4
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] generating graphics... => 4
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] generating graphics... => 5
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] generating graphics... => 4
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] generating graphics... => 5
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] generating graphics... => 4
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] generating graphics... => 4
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] generating graphics... => 5
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] generating graphics... => 4
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] generating graphics... => 5
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] generating graphics... => 4
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] generating graphics... => 4
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] generating graphics... => 4
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] generating graphics... => 5
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] generating graphics... => 4
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] generating graphics... => 4
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] generating graphics... => 4
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] generating graphics... => 4
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] generating graphics... => 5
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] generating graphics... => 5
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] generating graphics... => 5
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] generating graphics... => 5
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] generating graphics... => 5
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] generating graphics... => 5
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] generating graphics... => 5
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] generating graphics... => 6
click to show generating function       
Description
The number of double up and double down steps of a Dyck path.
In other words, this is the number of double rises (and, equivalently, the number of double falls) of a Dyck path.
Code
def statistic(x):
    return x.number_of_double_rises()
Created
May 22, 2012 at 07:40 by Christian Stump
Updated
Sep 11, 2017 at 11:30 by Christian Stump