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... => 1
[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... => 2
[1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,0,0] generating graphics... => 0
[1,1,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,0] generating graphics... => 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... => 3
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 0
[1,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[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... => 1
[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... => 2
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 0
[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... => 0
[1,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[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... => 2
[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... => 1
[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... => 1
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 1
[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... => 1
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 1
[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... => 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... => 2
[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... => 2
[1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[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... => 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... => 2
[1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 0
[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... => 0
[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... => 2
[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... => 4
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 0
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 0
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 1
[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... => 1
[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... => 3
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 1
[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... => 0
[1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 0
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[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... => 2
[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... => 2
[1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 1
[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... => 2
[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... => 5
[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... => 1
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 1
[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... => 1
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 1
[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... => 2
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 3
[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... => 0
[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... => 0
[1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 3
[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... => 2
[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... => 1
[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... => 1
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 1
[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... => 1
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 1
[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... => 5
[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... => 3
[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... => 3
[1,0,1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 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... => 2
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 1
[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... => 5
[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... => 2
[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... => 2
[1,0,1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[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... => 2
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 1
[1,0,1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 1
[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... => 0
[1,0,1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 0
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 0
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[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... => 2
[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... => 2
[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... => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 6
[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... => 2
[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... => 4
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 1
[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... => 2
[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... => 4
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 0
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 0
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 3
[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... => 0
[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... => 0
[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... => 2
[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... => 4
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 2
[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... => 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... => 2
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 0
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 0
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 1
[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... => 1
[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... => 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... => 2
[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... => 2
[1,1,0,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[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... => 2
[1,1,0,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 0
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 0
[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... => 2
[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... => 4
[1,1,0,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 2
[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... => 2
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 2
[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... => 1
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 0
[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... => 1
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[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... => 2
[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... => 2
[1,1,0,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 1
[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... => 2
[1,1,0,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 1
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 1
[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... => 1
[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... => 2
[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... => 2
[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... => 6
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 7
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 5
[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... => 4
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 1
[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... => 2
[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... => 5
[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... => 1
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 1
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[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... => 1
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 0
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 0
[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... => 2
[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... => 4
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 2
[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... => 2
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 1
[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... => 2
[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... => 4
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 2
[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... => 5
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 5
[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... => 1
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 2
[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... => 1
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 1
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 2
[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... => 2
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 2
[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... => 1
[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... => 1
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 1
[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... => 3
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] generating graphics... => 1
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] generating graphics... => 0
[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... => 1
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] generating graphics... => 0
[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... => 2
[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... => 2
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] generating graphics... => 1
[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... => 2
[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... => 5
[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... => 1
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] generating graphics... => 2
[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... => 1
[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... => 0
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] generating graphics... => 2
[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... => 1
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] generating graphics... => 0
[1,1,1,0,0,1,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,1,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,0,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[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... => 2
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] generating graphics... => 1
[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... => 1
[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... => 2
[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... => 5
[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... => 1
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] generating graphics... => 2
[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... => 1
[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... => 2
[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... => 5
[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... => 5
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] generating graphics... => 6
[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... => 1
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] generating graphics... => 2
[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... => 1
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] generating graphics... => 2
[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... => 1
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] generating graphics... => 2
[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... => 1
[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... => 1
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] generating graphics... => 1
[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... => 2
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,0,0,1,0,1,0] generating graphics... => 2
[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... => 2
[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... => 1
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,0,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] generating graphics... => 2
[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... => 1
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] generating graphics... => 2
[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... => 1
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] generating graphics... => 0
[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... => 0
[1,1,1,1,0,1,0,0,0,0,1,0,1,0] generating graphics... => 2
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] generating graphics... => 1
[1,1,1,1,0,1,0,0,0,1,0,0,1,0] generating graphics... => 2
[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... => 1
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] generating graphics... => 2
[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... => 1
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] generating graphics... => 2
[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... => 1
[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... => 1
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] generating graphics... => 1
[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... => 1
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] generating graphics... => 1
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] generating graphics... => 1
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] generating graphics... => 1
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] generating graphics... => 1
[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 number of non-projective indecomposable reflexive modules in the corresponding Nakayama algebra.
For the first 196 values the statistic coincides also with the number of fixed points of $\tau \Omega^2$ composed with its inverse, see theorem 5.8. in the reference for more details.
The number of Dyck paths of length n where the statistics returns zero seems to be 2^(n-1).
References
[1] Iyama, O., Solberg, √ėyvind Auslander-Gorenstein algebras and precluster tilting. zbMATH:06833443
Code
DeclareOperation("IsNthSyzygy",[IsList]);

InstallMethod(IsNthSyzygy, "for a representation of a quiver", [IsList],0,function(LIST)

local M,n,N,W;
M:=LIST[1];

n:=LIST[2];

N:=DualOfModule(NthSyzygy(DualOfModule(M),n));

W:=NthSyzygy(N,n);

if IsDirectSummand(M,W)=true
then
return(1);
else return(0);
fi;
end);


DeclareOperation("NumberOfReflexiveModules",[IsList]);

InstallMethod(NumberOfReflexiveModules, "for a representation of a quiver", [IsList],0,function(LIST)

local L,A,LL1,LL2;

L:=LIST[1];

A:=NakayamaAlgebra(L,GF(3));
L:=ARQuiverNak([A]);L:=Filtered(L,x->IsProjectiveModule(x)=false);
LL1:=Filtered(L,x->DominantDimensionOfModule(x,30)>=1);
LL2:=Filtered(LL1,x->IsNthSyzygy([x,2])=1);
return(Size(LL2));


end);
Created
Sep 08, 2018 at 11:49 by Rene Marczinzik
Updated
Oct 20, 2018 at 20:19 by Rene Marczinzik