Identifier
Identifier
  • St000053: Dyck paths ⟶ ℤ (values match St000015The number of peaks of a Dyck path., St001068Number of torsionless simple modules in the corresponding Nakayama algebra., St001169Number of simple modules with projective dimension at least two in the corresponding Nakayama algebra.)
Values
[1,0] generating graphics... => 0
[1,0,1,0] generating graphics... => 1
[1,1,0,0] generating graphics... => 0
[1,0,1,0,1,0] generating graphics... => 2
[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... => 0
[1,0,1,0,1,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[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... => 3
[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... => 3
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[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... => 1
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 3
[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... => 1
[1,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[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... => 3
[1,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[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... => 1
[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... => 1
[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... => 1
[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... => 1
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 4
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 4
[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... => 5
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 4
[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... => 5
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 4
[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... => 4
[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... => 4
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 4
[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... => 4
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 4
[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... => 2
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 4
[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... => 4
[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... => 4
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[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... => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 4
[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... => 5
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 4
[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... => 4
[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... => 4
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 4
[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... => 4
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 4
[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... => 2
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 4
[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... => 2
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 4
[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... => 4
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 4
[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... => 2
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 4
[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... => 4
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 4
[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... => 4
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 4
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 4
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 4
[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... => 4
[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... => 4
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[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... => 2
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 4
[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... => 2
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 4
[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... => 4
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 4
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 4
[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... => 4
[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... => 4
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[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... => 2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 4
[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... => 5
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 4
[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... => 4
[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... => 4
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 4
[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... => 4
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 4
[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... => 2
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 4
[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... => 2
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 4
[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... => 4
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 4
[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... => 2
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 4
[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... => 4
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 4
[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... => 4
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 4
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] generating graphics... => 4
[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... => 2
[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... => 2
[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... => 2
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] generating graphics... => 4
[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... => 2
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] generating graphics... => 4
[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... => 4
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] generating graphics... => 4
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] generating graphics... => 4
[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... => 2
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] generating graphics... => 4
[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... => 4
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] generating graphics... => 4
[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... => 2
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] generating graphics... => 4
[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... => 4
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] generating graphics... => 4
[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... => 4
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] generating graphics... => 4
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] generating graphics... => 1
[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... => 2
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] generating graphics... => 1
[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... => 2
[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... => 2
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] generating graphics... => 1
[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... => 2
[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... => 2
[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... => 2
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,1,1,1,0,0,0,0,0] generating graphics... => 1
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] generating graphics... => 0
click to show generating function       
Description
The number of valleys of the Dyck path.
Code
def statistic(r):
    return r.number_of_valleys()
Created
Mar 25, 2013 at 17:36 by Jessica Striker
Updated
Feb 17, 2015 at 17:43 by Martin Rubey