Identifier
Identifier
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... => 3
[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... => 4
[1,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,0,0] generating graphics... => 3
[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... => 5
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 4
[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... => 4
[1,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,0] generating graphics... => 3
[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... => 4
[1,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[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... => 4
[1,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[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... => 3
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 3
[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... => 3
[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... => 3
[1,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[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... => 3
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 3
[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... => 6
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 5
[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... => 5
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 4
[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... => 5
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 4
[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... => 4
[1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 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... => 2
[1,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[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... => 4
[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... => 4
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[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... => 5
[1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 4
[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... => 4
[1,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 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... => 3
[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... => 5
[1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 4
[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... => 4
[1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 4
[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... => 3
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 4
[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... => 3
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 4
[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... => 3
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 2
[1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 4
[1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 4
[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... => 3
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 4
[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... => 3
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 2
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 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... => 7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 5
[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... => 6
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 5
[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... => 5
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 4
[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... => 3
[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... => 6
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 6
[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... => 5
[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... => 5
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 4
[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... => 5
[1,0,1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 4
[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... => 4
[1,0,1,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 3
[1,0,1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 3
[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... => 3
[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... => 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... => 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... => 3
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 5
[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... => 5
[1,0,1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 5
[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... => 5
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 5
[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... => 4
[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... => 5
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 5
[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... => 4
[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... => 4
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 4
[1,0,1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 3
[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... => 2
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 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... => 2
[1,0,1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 5
[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... => 4
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 5
[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... => 4
[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... => 4
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 4
[1,0,1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 4
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 4
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 4
[1,0,1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 3
[1,0,1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 2
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 3
[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... => 6
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 5
[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... => 5
[1,1,0,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 4
[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... => 5
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 4
[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... => 4
[1,1,0,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 3
[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... => 2
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[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... => 4
[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... => 4
[1,1,0,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[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... => 6
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 5
[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... => 5
[1,1,0,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 4
[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... => 5
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 4
[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... => 4
[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... => 6
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 5
[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... => 5
[1,1,0,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 4
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 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... => 4
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 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... => 5
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 4
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 4
[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... => 3
[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... => 2
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 5
[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... => 4
[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... => 4
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 5
[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... => 4
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 4
[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... => 3
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 4
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 4
[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... => 3
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 2
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 3
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 3
[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... => 5
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] generating graphics... => 4
[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... => 4
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] generating graphics... => 4
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] generating graphics... => 3
[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... => 5
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] generating graphics... => 4
[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... => 4
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] generating graphics... => 4
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] generating graphics... => 4
[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... => 3
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] generating graphics... => 4
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] generating graphics... => 4
[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... => 3
[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... => 3
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] generating graphics... => 3
[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... => 5
[1,1,1,0,1,0,0,0,1,0,1,1,0,0] generating graphics... => 4
[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... => 4
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] generating graphics... => 4
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] generating graphics... => 4
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,1,0,0,1,0,0] generating graphics... => 4
[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... => 3
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] generating graphics... => 4
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] generating graphics... => 4
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] generating graphics... => 4
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] generating graphics... => 4
[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... => 3
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] generating graphics... => 2
[1,1,1,0,1,1,0,0,0,1,0,0,1,0] generating graphics... => 4
[1,1,1,0,1,1,0,0,0,1,0,1,0,0] generating graphics... => 4
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,0,0,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,1,1,0,0,1,0,0,1,0,0] generating graphics... => 4
[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... => 3
[1,1,1,0,1,1,0,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,1,1,0,1,0,0,0,1,0,0] generating graphics... => 4
[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... => 3
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] generating graphics... => 2
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] generating graphics... => 3
[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... => 4
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] generating graphics... => 3
[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... => 4
[1,1,1,1,0,0,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,0,1,0,1,0,0,1,0] generating graphics... => 4
[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... => 3
[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... => 3
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] generating graphics... => 3
[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... => 4
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,1,0,0,1,0,0,1,0] generating graphics... => 4
[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... => 3
[1,1,1,1,0,0,1,0,1,0,0,0,1,0] generating graphics... => 4
[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... => 3
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] generating graphics... => 3
[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... => 4
[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... => 4
[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... => 3
[1,1,1,1,0,1,0,0,1,0,0,0,1,0] generating graphics... => 4
[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... => 3
[1,1,1,1,0,1,0,1,0,0,0,0,1,0] generating graphics... => 4
[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... => 3
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] generating graphics... => 2
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] generating graphics... => 3
[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... => 3
[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... => 3
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] generating graphics... => 3
[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... => 3
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] generating graphics... => 3
[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... => 3
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] generating graphics... => 3
[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... => 3
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] generating graphics... => 3
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] generating graphics... => 3
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] generating graphics... => 3
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] generating graphics... => 3
[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
[1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 8
[1,0,1,0,1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 7
[1,0,1,0,1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 7
[1,0,1,0,1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,1,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 7
[1,0,1,0,1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 7
[1,0,1,0,1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 7
[1,0,1,0,1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 7
[1,0,1,0,1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 6
[1,0,1,0,1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 5
[1,0,1,0,1,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 7
[1,0,1,0,1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 7
[1,0,1,0,1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 6
[1,0,1,0,1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,0,1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 6
[1,0,1,0,1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 5
[1,0,1,0,1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 5
[1,0,1,0,1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,0,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,0,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 7
[1,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 7
[1,0,1,1,0,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,0,0,1,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,0,0,1,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 6
[1,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 6
[1,0,1,1,0,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 5
[1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 5
[1,0,1,1,0,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 5
[1,0,1,1,1,0,0,0,1,0,1,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,0,1,0,0,1,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,0,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,1,0,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,1,0,1,0,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,1,0,0,1,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,1,0,1,0,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,1,0,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,1,0,1,0,0,0,1,0,1,0] generating graphics... => 6
[1,0,1,1,1,0,1,0,1,0,0,0,1,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,1,0,1,0,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,1,0,1,1,0,0,0,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,1,1,0,0,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,1,1,0,0,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,1,1,0,0,1,0,0,1,0,0] generating graphics... => 5
[1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,0] generating graphics... => 5
[1,0,1,1,1,0,1,1,0,1,0,0,0,1,0,0] generating graphics... => 5
[1,0,1,1,1,1,0,1,0,0,0,0,1,0,1,0] generating graphics... => 5
[1,0,1,1,1,1,0,1,0,0,0,1,0,0,1,0] generating graphics... => 5
[1,0,1,1,1,1,0,1,0,0,1,0,0,0,1,0] generating graphics... => 5
[1,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 7
[1,1,0,0,1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 6
[1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 6
[1,1,0,0,1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,0,0,1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 6
[1,1,0,0,1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,0,1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 7
[1,1,0,1,0,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 6
[1,1,0,1,0,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 6
[1,1,0,1,0,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,1,0,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 6
[1,1,0,1,0,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 6
[1,1,0,1,0,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,1,0,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 7
[1,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 6
[1,1,0,1,0,1,0,0,1,0,1,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 6
[1,1,0,1,0,1,0,0,1,0,1,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,1,0,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 6
[1,1,0,1,0,1,0,0,1,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,0,1,0,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 6
[1,1,0,1,0,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,1,0,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 6
[1,1,0,1,0,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 6
[1,1,0,1,0,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 5
[1,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,0,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,1,0,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 5
[1,1,0,1,1,0,0,0,1,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,1,0,0,1,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,0,1,1,0,0,1,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,0,1,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,0] generating graphics... => 6
[1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,0,1,0,1,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,0,1,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,0,1,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,1,0,0,1,1,0,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,1,0,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,0,1,1,0,1,0,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,1,0,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,1,0,0,1,0,0,1,0,1,0] generating graphics... => 6
[1,1,0,1,1,0,1,0,0,1,0,0,1,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,1,0,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,1,0,0,1,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,1,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,1,0,1,0,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,1,0,1,0,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,1,0,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,1,0,1,0,1,0,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,1,0,1,1,0,0,0,1,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,0,1,1,0,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,1,0,1,1,0,0,1,0,0,1,0,0] generating graphics... => 5
[1,1,0,1,1,1,0,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,1,1,0,0,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,1,1,0,0,1,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,1,1,0,1,0,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,0,1,1,1,0,1,0,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,0,1,1,1,0,1,0,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,0,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,1,0,0,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,0,1,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,1,0,0,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,0,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,0,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,0,0,1,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,1,0,1,0,0,0,1,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,1,0,1,0,0,0,1,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,1,0,0,0,1,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,0,0,1,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,1,0,0,1,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,1,0,1,0,0,1,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,1,0,1,0,0,1,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,1,0,0,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,0,1,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,0,1,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,0,1,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,1,0,1,0,0,0,1,0,1,0,1,0] generating graphics... => 6
[1,1,1,0,1,0,1,0,0,0,1,0,1,1,0,0] generating graphics... => 5
[1,1,1,0,1,0,1,0,0,0,1,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,1,0,1,0,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,1,0,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,1,0,0,1,0,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,1,0,1,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,1,0,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,1,0,1,0,0,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,1,0,1,1,0,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,1,0,1,1,0,0,0,1,0,1,0,0] generating graphics... => 5
[1,1,1,0,1,1,0,0,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,1,1,0,0,0,1,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,1,1,0,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,1,1,0,0,1,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,0,1,1,0,1,0,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,0,1,1,0,1,0,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,1,0,0,0,0,1,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,1,1,0,0,0,1,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,1,0,0,1,0,0,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,1,1,0,0,1,0,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,1,0,0,1,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,1,0,1,0,0,0,0,1,0,1,0,1,0] generating graphics... => 5
[1,1,1,1,0,1,0,0,0,1,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,1,0,1,0,0,1,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0] generating graphics... => 5
click to show generating function       
Description
The global dimension of the LNakayama algebra associated to a Dyck path.
An n-LNakayama algebra is a quiver algebra with a directed line as a connected quiver with $n$ points for $n \geq 2$. Number those points from the left to the right by $0,1,\ldots,n-1$.
The algebra is then uniquely determined by the dimension $c_i$ of the projective indecomposable modules at point $i$. Such algebras are then uniquely determined by lists of the form $[c_0,c_1,...,c_{n-1}]$ with the conditions: $c_{n-1}=1$ and $c_i -1 \leq c_{i+1}$ for all $i$. The number of such algebras is then the $n-1$-st Catalan number $C_{n-1}$.
One can get also an interpretation with Dyck paths by associating the top boundary of the Auslander-Reiten quiver (which is a Dyck path) to those algebras. Example: [3,4,3,3,2,1] corresponds to the Dyck path [1,1,0,1,1,0,0,1,0,0].
Conjecture: that there is an explicit bijection between $n$-LNakayama algebras with global dimension bounded by $m$ and Dyck paths with height at most $m$.
Examples:
  • For $m=2$, the number of Dyck paths with global dimension at most $m$ starts for $n \geq 2$ with 1,2, 4, 8, 16, 32, 64, 128, 256, 512, 1024, 2048, 4096, 8192.
  • For $m=3$, the number of Dyck paths with global dimension at most $m$ starts for $n \geq 2$ with 1, 2, 5, 13, 34, 89, 233, 610, 1597, 4181, 10946, 28657, 75025, 196418.
References
[1] Mare Global dimension and Dyck path combinatorics MathOverflow:259113
Code
# programm inspired by a programm from ahulpke in http://math.stackexchange.com/questions/1587593/finding-elements-of-cartesian-product-satisfying-a-set-of-constraints-in-gap. Programm builds all sequences corresponding to n-LNakayama algebras. All writen for the GAP package 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; 



BuildSequencesLNak:=function(n)

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

all:=[[1]]; #last number is always 1

range:=[2..n]; except for the last entry the minimum is 2 and the maximum n (first entry)

for len in [1..n-1] do # this ken could also be named j. it only is needed in this code for the right number of repetitions of the loop.
	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;

#Next programm calculate the global dimension.
 
DeclareOperation("gldim", [IsList]);

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


local list, n, i, j, f, temp, temp2, temp3, u;

list:=L;

n:=Size(L);

f := function (x,y)
	local c, z;
	c:=(x+y) mod n; if c=0 then c:=n; fi;
	z:=(x+1) mod n; if z=0 then z:=n; fi;
	return([c,list[z]-y]);
	end;

temp2:=[];
for i in [0..n-1] do
	Append(temp2,[[i,1]]);
od;


temp:=[];
for i in [0..n-1] do
	u:=temp2[i+1];
	Append(temp,[[u]]);
od;




for i in [0..n-1] do
	j:=1;
	while j<(2*n+3) do
		Append(temp[i+1],[f(temp[i+1][j][1],temp[i+1][j][2])]);
		j:=j+1;
	od;
od;



temp3:=[];
for i in [1..n] do
	temp2:=[];
	for j in [1..(2*n+3)] do
		if temp[i][j][2]=0 then Append(temp2,[j]); fi;
	od;
	if Size(temp2)>0 then
		u:=Minimum(temp2);
		Append(temp3,[u]);
	else 
		temp3:="inf"; break; 
	fi;
od;

if IsString(temp3)=false then
	temp3:=(Maximum(temp3))-2;
fi;

return(temp3);



end
);

#Example: 
gap> L:=[3,4,3,3,2,1];;gldim(L);
3





Created
Jan 10, 2017 at 12:41 by Rene Marczinzik
Updated
Jan 12, 2017 at 09:16 by Christian Stump