Identifier
Identifier
Values
[1,0] generating graphics... => 0
[1,0,1,0] generating graphics... => 0
[1,1,0,0] generating graphics... => 0
[1,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,0,0] generating graphics... => 0
[1,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,0] generating graphics... => 0
[1,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,0] generating graphics... => 0
[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... => 0
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,0,0,0] generating graphics... => 0
[1,0,1,1,1,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 0
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,0,0] generating graphics... => 1
[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... => 0
[1,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 0
[1,1,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,0,1,0] generating graphics... => 0
[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... => 0
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 0
[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... => 0
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,0,0] generating graphics... => 0
[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... => 0
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 1
[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... => 0
[1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 0
[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... => 0
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[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... => 1
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[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... => 3
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 0
[1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 1
[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... => 0
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 0
[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... => 0
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 0
[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... => 4
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 0
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 1
[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... => 0
[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... => 0
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 0
[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... => 0
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 0
[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... => 0
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 0
[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... => 0
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 0
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[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... => 0
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 0
[1,0,1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 0
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 0
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 2
[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... => 0
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 1
[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... => 0
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 0
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 0
[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... => 0
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 0
[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... => 0
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 0
[1,1,0,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 2
[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... => 1
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[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... => 2
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[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... => 2
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 2
[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... => 3
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 4
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 0
[1,1,0,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 2
[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... => 0
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,0,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 1
[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... => 0
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 0
[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... => 0
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 0
[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... => 0
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 0
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[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... => 2
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] generating graphics... => 2
[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... => 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... => 6
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] generating graphics... => 1
[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... => 0
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] generating graphics... => 1
[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... => 1
[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... => 1
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[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... => 1
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] generating graphics... => 1
[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... => 3
[1,1,1,0,1,0,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] generating graphics... => 2
[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... => 0
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] generating graphics... => 1
[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... => 0
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] generating graphics... => 0
[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... => 0
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] generating graphics... => 0
[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... => 0
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] generating graphics... => 0
[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... => 3
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] generating graphics... => 6
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,0,1,0,1,0,0] generating graphics... => 0
[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... => 4
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] generating graphics... => 0
[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... => 0
[1,1,1,1,0,0,1,0,0,1,0,1,0,0] generating graphics... => 0
[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... => 0
[1,1,1,1,0,0,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] generating graphics... => 1
[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... => 0
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,0,1,0,1,0,0] generating graphics... => 0
[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... => 0
[1,1,1,1,0,1,0,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,1,0,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] generating graphics... => 0
[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... => 0
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] generating graphics... => 0
[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... => 0
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,1,0,0,0,0,0,0,0] generating graphics... => 0
click to show generating function       
Description
The dimension of $Hom(I,P)$ for the LNakayama algebra of a Dyck path.
In this expression, $I$ is the direct sum of all injective non-projective indecomposable modules and $P$ is the direct sum of all projective non-injective indecomposable modules.
This statistic was discussed in [Theorem 5.7, 1].
Code
# CodeLanguage: GAP4 with QPA
BuildSequencesLNak:=function(n)

local all,range,len,new,seq,i,sel;

all:=[[1]];

range:=[2..n];

for len in [1..n-1] do
	new:=[];
	for seq in all do
		sel:=Filtered(range, x->x<=1+seq[1]);
		for i in sel do
			Add(new,Concatenation([i],seq));
		od;
	od;
all:=new;
od;

return all;

end; 



DeclareOperation("QF1Homtest", [IsList]);

InstallMethod(QF1Homtest, "for a representation of a quiver", [IsList],0,function(L)


local list, n, temp1, Liste_d, j, i, k, r, kk;



A:=NakayamaAlgebra(GF(3),L);

projA:=IndecProjectiveModules(A);injA:=IndecInjectiveModules(A);rprojA:=Filtered(projA,x->IsInjectiveModule(x)=false);rinjA:=Filtered(injA,x->IsProjectiveModule(x)=false);M:=DirectSumOfQPAModules(rinjA);N:=DirectSumOfQPAModules(rprojA);


return(Size(HomOverAlgebra(M,N)));

end
);

#Example: gap> z:=5;;L:=BuildSequencesLNak(z);;temp:=[];;for i in L do Append(temp,[[i,QF1Homtest(i)]]);od;temp;
[ [ [ 2, 2, 2, 2, 1 ], 0 ], [ [ 3, 2, 2, 2, 1 ], 0 ], [ [ 2, 3, 2, 2, 1 ], 0 ], [ [ 3, 3, 2, 2, 1 ], 0 ], [ [ 4, 3, 2, 2, 1 ], 0 ], 
  [ [ 2, 2, 3, 2, 1 ], 0 ], [ [ 3, 2, 3, 2, 1 ], 1 ], [ [ 2, 3, 3, 2, 1 ], 0 ], [ [ 3, 3, 3, 2, 1 ], 0 ], [ [ 4, 3, 3, 2, 1 ], 0 ], [ [ 2, 4, 3, 2, 1 ], 0 ], [ [ 3, 4, 3, 2, 1 ], 0 ], 
  [ [ 4, 4, 3, 2, 1 ], 0 ], [ [ 5, 4, 3, 2, 1 ], 0 ] ]

Created
Jan 12, 2017 at 02:00 by Rene Marczinzik
Updated
Jan 12, 2017 at 09:12 by Christian Stump