Identifier
Identifier
  • St001471: Dyck paths ⟶ ℤ (values match St001165Number of simple modules with even projective dimension in the corresponding Nakayama algebra.)
Values
[1,0] generating graphics... => 1
[1,0,1,0] generating graphics... => 2
[1,1,0,0] generating graphics... => 1
[1,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,0] generating graphics... => 1
[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... => 3
[1,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0] generating graphics... => 2
[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... => 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... => 1
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 3
[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... => 3
[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... => 3
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[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... => 2
[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... => 3
[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... => 2
[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... => 2
[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... => 3
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[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... => 3
[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... => 3
[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... => 3
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[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... => 4
[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... => 3
[1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[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... => 3
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[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... => 3
[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... => 3
[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... => 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... => 2
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 3
[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... => 3
[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... => 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... => 2
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 3
[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... => 3
[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... => 3
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[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... => 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... => 2
[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... => 3
[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... => 2
[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... => 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... => 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... => 2
[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... => 3
[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... => 2
[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... => 2
[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... => 3
[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... => 2
[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... => 2
[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... => 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... => 2
[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... => 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... => 2
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 4
[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... => 4
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 3
[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... => 3
[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... => 4
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[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... => 3
[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... => 4
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 3
[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... => 3
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 3
[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... => 3
[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... => 3
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[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... => 3
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[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... => 4
[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... => 4
[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... => 4
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 4
[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... => 3
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[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... => 3
[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... => 4
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 3
[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... => 3
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 3
[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... => 3
[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... => 3
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[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... => 3
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[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... => 4
[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... => 3
[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... => 3
[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... => 4
[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... => 3
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 3
[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... => 3
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 3
[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... => 3
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 3
[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... => 3
[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... => 3
[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... => 3
[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... => 3
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 3
[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... => 2
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 4
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[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... => 3
[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... => 3
[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... => 3
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[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... => 4
[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... => 3
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[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... => 3
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[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... => 3
[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... => 3
[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... => 3
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[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... => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 4
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[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... => 3
[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... => 3
[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... => 3
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[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... => 4
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[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... => 3
[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... => 3
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[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... => 3
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[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... => 3
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 2
[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... => 2
[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... => 4
[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... => 3
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 3
[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... => 3
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 3
[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... => 3
[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... => 3
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 3
[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... => 3
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 2
[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... => 2
[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... => 3
[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... => 3
[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... => 2
[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... => 3
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 3
[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... => 2
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] generating graphics... => 3
[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... => 3
[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... => 3
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[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... => 2
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] generating graphics... => 3
[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... => 3
[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... => 3
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[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... => 2
[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... => 3
[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... => 2
[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... => 3
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] generating graphics... => 3
[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... => 2
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] generating graphics... => 3
[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... => 3
[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... => 3
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] generating graphics... => 2
[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... => 2
[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... => 3
[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... => 3
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] generating graphics... => 3
[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... => 2
[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... => 2
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] generating graphics... => 2
[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... => 3
[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... => 2
[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... => 2
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] generating graphics... => 2
[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... => 3
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] generating graphics... => 3
[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... => 2
[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... => 3
[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... => 2
[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... => 2
[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... => 3
[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... => 2
[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... => 2
[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... => 2
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] generating graphics... => 2
[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... => 3
[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... => 2
[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... => 2
[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... => 2
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] generating graphics... => 2
[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... => 2
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] generating graphics... => 2
[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... => 3
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] generating graphics... => 2
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] generating graphics... => 2
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] generating graphics... => 1
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Description
The magnitude of a Dyck path.
The magnitude of a finite dimensional algebra with invertible Cartan matrix C is defined as the sum of all entries of the inverse of C.
We define the magnitude of a Dyck path as the magnitude of the corresponding LNakayama algebra.
References
[1] Chuang, J., King, A., Leinster, T. On the magnitude of a finite dimensional algebra. zbMATH:1333.18025
Created
Sep 27, 2019 at 17:04 by Rene Marczinzik
Updated
Sep 28, 2019 at 12:28 by Rene Marczinzik