Identifier
Identifier
Values
[1,0,1,0] generating graphics... => 1
[1,0,1,0,1,0] generating graphics... => 1
[1,0,1,1,0,0] generating graphics... => 1
[1,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,0] generating graphics... => 1
[1,1,0,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,0,0] generating graphics... => 0
[1,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,0] generating graphics... => 1
[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... => 2
[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... => 2
[1,0,1,1,0,1,0,1,0,0] generating graphics... => 1
[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... => 3
[1,0,1,1,1,0,0,1,0,0] generating graphics... => 1
[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... => 1
[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... => 2
[1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[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... => 2
[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... => 0
[1,1,0,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[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... => 0
[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... => 3
[1,1,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,0,1,0] generating graphics... => 4
[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
[1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[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... => 1
[1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 1
[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... => 2
[1,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[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... => 1
[1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 1
[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... => 2
[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... => 2
[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... => 2
[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... => 2
[1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 1
[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... => 1
[1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 1
[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... => 3
[1,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 1
[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... => 4
[1,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 1
[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... => 1
[1,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 2
[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... => 2
[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... => 2
[1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[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... => 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... => 2
[1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[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... => 2
[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... => 2
[1,1,0,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[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... => 2
[1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 3
[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... => 3
[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... => 3
[1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 0
[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... => 3
[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... => 3
[1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 4
[1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 5
[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
[1,0,1,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,0,1,0,1,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,0,1,1,1,0,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[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... => 2
[1,0,1,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,1,0,1,0,0,0] generating graphics... => 1
[1,0,1,0,1,0,1,1,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[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... => 2
[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... => 2
[1,0,1,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,0,1,1,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,1,0,1,0,0,0] generating graphics... => 1
[1,0,1,0,1,1,0,1,1,1,0,0,0,0] generating graphics... => 1
[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... => 1
[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... => 1
[1,0,1,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 1
[1,0,1,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 4
[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... => 1
[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... => 2
[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... => 2
[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... => 2
[1,0,1,1,0,0,1,1,0,0,1,0,1,0] generating graphics... => 2
[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... => 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... => 2
[1,0,1,1,0,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,0,1,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[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... => 2
[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... => 2
[1,0,1,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,0,1,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 4
[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... => 1
[1,0,1,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 1
[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... => 3
[1,0,1,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,0,1,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 3
[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... => 3
[1,0,1,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 1
[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... => 3
[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... => 1
[1,0,1,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,0,1,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,0,1,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 1
[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... => 4
[1,0,1,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 4
[1,0,1,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 4
[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... => 1
[1,0,1,1,1,1,0,0,1,0,0,0,1,0] generating graphics... => 4
[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... => 1
[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... => 1
[1,0,1,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 1
[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... => 5
[1,0,1,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 1
[1,0,1,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 1
[1,0,1,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 1
[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... => 1
[1,1,0,0,1,0,1,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[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... => 2
[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... => 2
[1,1,0,0,1,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,0,1,1,0,1,0,1,0,0] generating graphics... => 2
[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... => 3
[1,1,0,0,1,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[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... => 2
[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... => 2
[1,1,0,0,1,1,0,0,1,1,0,0,1,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,1,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,0,1,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,0,1,0,0,1,0,1,0] generating graphics... => 2
[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... => 2
[1,1,0,0,1,1,0,1,0,1,0,1,0,0] generating graphics... => 2
[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... => 3
[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... => 2
[1,1,0,0,1,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,0,1,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,0,1,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,0,1,1,1,0,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,0,1,1,0,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,0,0,1,1,1,1,0,0,0,1,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,0,1,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,0,1,0,0,0,0] generating graphics... => 2
[1,1,0,0,1,1,1,1,1,0,0,0,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,0,1,0,1,1,0,0] generating graphics... => 2
[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... => 2
[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... => 2
[1,1,0,1,0,0,1,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,0,1,0,1,0,0] generating graphics... => 2
[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... => 3
[1,1,0,1,0,0,1,1,1,0,0,1,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,1,0,1,0,0,0] generating graphics... => 2
[1,1,0,1,0,0,1,1,1,1,0,0,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,0,1,0,1,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,0,0,1,0,1,1,0,0] generating graphics... => 2
[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... => 2
[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... => 2
[1,1,0,1,0,1,0,1,0,0,1,1,0,0] generating graphics... => 2
[1,1,0,1,0,1,0,1,0,1,0,0,1,0] generating graphics... => 2
[1,1,0,1,0,1,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,0,1,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,0,1,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,0,1,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,1,0,1,1,0,0,0] generating graphics... => 0
[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... => 0
[1,1,0,1,1,0,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,0,1,1,0,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,0,1,1,0,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,0,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,0,0,1,0,1,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,0,0,1,1,0,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,0,1,0,0,1,0] generating graphics... => 4
[1,1,0,1,1,1,0,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,0,1,1,0,0,0] generating graphics... => 0
[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... => 0
[1,1,0,1,1,1,0,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,0,1,1,0,0,0,0] generating graphics... => 0
[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... => 0
[1,1,0,1,1,1,0,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,1,0,0,0,0,0,1,0] generating graphics... => 5
[1,1,0,1,1,1,1,0,0,0,0,1,0,0] generating graphics... => 0
[1,1,0,1,1,1,1,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,1,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,1,0,1,0,0,0,0,0] generating graphics... => 0
[1,1,0,1,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,0,0,1,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,0,1,1,1,0,0,0] generating graphics... => 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... => 3
[1,1,1,0,0,0,1,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,0,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,0,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,1,0,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,1,0,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,0,1,1,1,1,0,0,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,0,1,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,0,1,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,1,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,0,1,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,0,1,1,1,0,0,0,0,1,0] generating graphics... => 4
[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... => 0
[1,1,1,0,0,1,1,1,0,1,0,0,0,0] generating graphics... => 0
[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... => 3
[1,1,1,0,1,0,0,0,1,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,0,1,1,0,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,0,1,1,1,0,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,0,1,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,0,1,0,1,1,0,0,0] generating graphics... => 0
[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... => 0
[1,1,1,0,1,0,0,1,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,0,1,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,0,0,1,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,0,1,1,0,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,1,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,1,0,0,0,1,0] generating graphics... => 3
[1,1,1,0,1,0,1,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,0,1,0,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,0,1,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,0,0,1,0,1,0] generating graphics... => 4
[1,1,1,0,1,1,0,0,0,0,1,1,0,0] generating graphics... => 4
[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... => 0
[1,1,1,0,1,1,0,0,0,1,1,0,0,0] generating graphics... => 0
[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... => 0
[1,1,1,0,1,1,0,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,0,1,1,0,0,0,0] generating graphics... => 0
[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... => 0
[1,1,1,0,1,1,0,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,1,0,0,0,0,0,1,0] generating graphics... => 5
[1,1,1,0,1,1,1,0,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,0,1,1,1,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,1,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,1,0,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,0,1,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,0,1,0,1,0,1,0] generating graphics... => 4
[1,1,1,1,0,0,0,0,1,0,1,1,0,0] generating graphics... => 4
[1,1,1,1,0,0,0,0,1,1,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,0,0,0,1,1,0,1,0,0] generating graphics... => 4
[1,1,1,1,0,0,0,0,1,1,1,0,0,0] generating graphics... => 4
[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... => 4
[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... => 0
[1,1,1,1,0,0,0,1,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,1,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,0,0,1,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,0,1,1,0,1,0,0,0] generating graphics... => 0
[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... => 4
[1,1,1,1,0,0,1,0,0,0,1,1,0,0] generating graphics... => 4
[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... => 0
[1,1,1,1,0,0,1,0,0,1,1,0,0,0] generating graphics... => 0
[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... => 0
[1,1,1,1,0,0,1,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,1,0,0,0,0,1,0] generating graphics... => 4
[1,1,1,1,0,0,1,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,0,1,1,0,1,0,0,0,0] generating graphics... => 0
[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... => 4
[1,1,1,1,0,1,0,0,0,0,1,1,0,0] generating graphics... => 4
[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... => 0
[1,1,1,1,0,1,0,0,0,1,1,0,0,0] generating graphics... => 0
[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... => 0
[1,1,1,1,0,1,0,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,0,1,1,0,0,0,0] generating graphics... => 0
[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... => 0
[1,1,1,1,0,1,0,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,0,0,0,0,1,0] generating graphics... => 5
[1,1,1,1,0,1,1,0,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,0,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,0,1,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,0,1,0,1,0] generating graphics... => 5
[1,1,1,1,1,0,0,0,0,0,1,1,0,0] generating graphics... => 5
[1,1,1,1,1,0,0,0,0,1,0,0,1,0] generating graphics... => 5
[1,1,1,1,1,0,0,0,0,1,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,0,1,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,1,0,0,0,1,0] generating graphics... => 5
[1,1,1,1,1,0,0,0,1,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,1,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,0,1,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,0,0,0,0,1,0] generating graphics... => 5
[1,1,1,1,1,0,0,1,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,0,1,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,0,0,0,0,0,1,0] generating graphics... => 5
[1,1,1,1,1,0,1,0,0,0,0,1,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,0,0,0,1,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,0,0,1,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,0,1,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,0,1,1,0,0,0,0,0,0] generating graphics... => 0
[1,1,1,1,1,1,0,0,0,0,0,0,1,0] generating graphics... => 6
[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
Description
The normalised height of a Nakayama algebra with magnitude 1.
We use the bijection (see code) suggested by Christian Stump, to have a bijection between such Nakayama algebras with magnitude 1 and Dyck paths. The normalised height is the height of the (periodic) Dyck path given by the top of the Auslander-Reiten quiver. Thus when having a CNakayama algebra it is the Loewy length minus the number of simple modules and for the LNakayama algebras it is the usual height.
Code

sage: def to_dyck(seq):
....:     n = len(seq)
....:     assert( seq.count(n) == 1 )
....:     i = seq.index(n)
....:     seq = seq[i+1:] + seq[:i]
....:     a = i = 0
....:     low_seq = [0]
....:     high_seq = []
....:     for i,a in enumerate(seq):
....:         if a < n:
....:             low_seq.append(n-a)
....:         else:
....:             high_seq.append(a-n-1)
....:     Ds = DyckWords()
....:     high_seq = high_seq[::-1]
....:     return DyckWord(list(Ds.from_area_sequence(high_seq)) +
list(Ds.from_area_sequence(low_seq).reverse()))
Created
Nov 17, 2019 at 18:47 by Rene Marczinzik
Updated
Nov 17, 2019 at 18:47 by Rene Marczinzik