Identifier
Identifier
Values
{{1,2}} generating graphics... => 0
{{1},{2}} generating graphics... => 1
{{1,2,3}} generating graphics... => 0
{{1},{2,3}} generating graphics... => 1
{{1,3},{2}} generating graphics... => 1
{{1,2},{3}} generating graphics... => 2
{{1},{2},{3}} generating graphics... => 3
{{1,2,3,4}} generating graphics... => 0
{{1},{2,3,4}} generating graphics... => 1
{{1,3,4},{2}} generating graphics... => 1
{{1,2,4},{3}} generating graphics... => 2
{{1,2,3},{4}} generating graphics... => 3
{{1,2},{3,4}} generating graphics... => 2
{{1,3},{2,4}} generating graphics... => 1
{{1,4},{2,3}} generating graphics... => 1
{{1},{2},{3,4}} generating graphics... => 3
{{1},{2,4},{3}} generating graphics... => 3
{{1},{2,3},{4}} generating graphics... => 4
{{1,4},{2},{3}} generating graphics... => 3
{{1,3},{2},{4}} generating graphics... => 4
{{1,2},{3},{4}} generating graphics... => 5
{{1},{2},{3},{4}} generating graphics... => 6
{{1,2,3,4,5}} generating graphics... => 0
{{1},{2,3,4,5}} generating graphics... => 1
{{1,3,4,5},{2}} generating graphics... => 1
{{1,2,4,5},{3}} generating graphics... => 2
{{1,2,3,5},{4}} generating graphics... => 3
{{1,2,3,4},{5}} generating graphics... => 4
{{1,2},{3,4,5}} generating graphics... => 2
{{1,3},{2,4,5}} generating graphics... => 1
{{1,4},{2,3,5}} generating graphics... => 1
{{1,5},{2,3,4}} generating graphics... => 1
{{1,4,5},{2,3}} generating graphics... => 1
{{1,3,5},{2,4}} generating graphics... => 1
{{1,3,4},{2,5}} generating graphics... => 1
{{1,2,5},{3,4}} generating graphics... => 2
{{1,2,4},{3,5}} generating graphics... => 2
{{1,2,3},{4,5}} generating graphics... => 3
{{1},{2},{3,4,5}} generating graphics... => 3
{{1},{2,4,5},{3}} generating graphics... => 3
{{1},{2,3,5},{4}} generating graphics... => 4
{{1},{2,3,4},{5}} generating graphics... => 5
{{1,4,5},{2},{3}} generating graphics... => 3
{{1,3,5},{2},{4}} generating graphics... => 4
{{1,3,4},{2},{5}} generating graphics... => 5
{{1,2,5},{3},{4}} generating graphics... => 5
{{1,2,4},{3},{5}} generating graphics... => 6
{{1,2,3},{4},{5}} generating graphics... => 7
{{1},{2,3},{4,5}} generating graphics... => 4
{{1},{2,4},{3,5}} generating graphics... => 3
{{1},{2,5},{3,4}} generating graphics... => 3
{{1,3},{2},{4,5}} generating graphics... => 4
{{1,4},{2},{3,5}} generating graphics... => 3
{{1,5},{2},{3,4}} generating graphics... => 3
{{1,2},{3},{4,5}} generating graphics... => 5
{{1,4},{2,5},{3}} generating graphics... => 3
{{1,5},{2,4},{3}} generating graphics... => 3
{{1,2},{3,5},{4}} generating graphics... => 5
{{1,3},{2,5},{4}} generating graphics... => 4
{{1,5},{2,3},{4}} generating graphics... => 4
{{1,2},{3,4},{5}} generating graphics... => 6
{{1,3},{2,4},{5}} generating graphics... => 5
{{1,4},{2,3},{5}} generating graphics... => 5
{{1},{2},{3},{4,5}} generating graphics... => 6
{{1},{2},{3,5},{4}} generating graphics... => 6
{{1},{2},{3,4},{5}} generating graphics... => 7
{{1},{2,5},{3},{4}} generating graphics... => 6
{{1},{2,4},{3},{5}} generating graphics... => 7
{{1},{2,3},{4},{5}} generating graphics... => 8
{{1,5},{2},{3},{4}} generating graphics... => 6
{{1,4},{2},{3},{5}} generating graphics... => 7
{{1,3},{2},{4},{5}} generating graphics... => 8
{{1,2},{3},{4},{5}} generating graphics... => 9
{{1},{2},{3},{4},{5}} generating graphics... => 10
{{1,2,3,4,5,6}} generating graphics... => 0
{{1},{2,3,4,5,6}} generating graphics... => 1
{{1,3,4,5,6},{2}} generating graphics... => 1
{{1,2,4,5,6},{3}} generating graphics... => 2
{{1,2,3,5,6},{4}} generating graphics... => 3
{{1,2,3,4,6},{5}} generating graphics... => 4
{{1,2,3,4,5},{6}} generating graphics... => 5
{{1,2},{3,4,5,6}} generating graphics... => 2
{{1,3},{2,4,5,6}} generating graphics... => 1
{{1,4},{2,3,5,6}} generating graphics... => 1
{{1,5},{2,3,4,6}} generating graphics... => 1
{{1,6},{2,3,4,5}} generating graphics... => 1
{{1,4,5,6},{2,3}} generating graphics... => 1
{{1,3,5,6},{2,4}} generating graphics... => 1
{{1,3,4,6},{2,5}} generating graphics... => 1
{{1,3,4,5},{2,6}} generating graphics... => 1
{{1,2,5,6},{3,4}} generating graphics... => 2
{{1,2,4,6},{3,5}} generating graphics... => 2
{{1,2,4,5},{3,6}} generating graphics... => 2
{{1,2,3,6},{4,5}} generating graphics... => 3
{{1,2,3,5},{4,6}} generating graphics... => 3
{{1,2,3,4},{5,6}} generating graphics... => 4
{{1},{2},{3,4,5,6}} generating graphics... => 3
{{1},{2,4,5,6},{3}} generating graphics... => 3
{{1},{2,3,5,6},{4}} generating graphics... => 4
{{1},{2,3,4,6},{5}} generating graphics... => 5
{{1},{2,3,4,5},{6}} generating graphics... => 6
{{1,4,5,6},{2},{3}} generating graphics... => 3
{{1,3,5,6},{2},{4}} generating graphics... => 4
{{1,3,4,6},{2},{5}} generating graphics... => 5
{{1,3,4,5},{2},{6}} generating graphics... => 6
{{1,2,5,6},{3},{4}} generating graphics... => 5
{{1,2,4,6},{3},{5}} generating graphics... => 6
{{1,2,4,5},{3},{6}} generating graphics... => 7
{{1,2,3,6},{4},{5}} generating graphics... => 7
{{1,2,3,5},{4},{6}} generating graphics... => 8
{{1,2,3,4},{5},{6}} generating graphics... => 9
{{1,2,3},{4,5,6}} generating graphics... => 3
{{1,2,4},{3,5,6}} generating graphics... => 2
{{1,2,5},{3,4,6}} generating graphics... => 2
{{1,2,6},{3,4,5}} generating graphics... => 2
{{1,3,4},{2,5,6}} generating graphics... => 1
{{1,3,5},{2,4,6}} generating graphics... => 1
{{1,3,6},{2,4,5}} generating graphics... => 1
{{1,4,5},{2,3,6}} generating graphics... => 1
{{1,4,6},{2,3,5}} generating graphics... => 1
{{1,5,6},{2,3,4}} generating graphics... => 1
{{1},{2,3},{4,5,6}} generating graphics... => 4
{{1},{2,4},{3,5,6}} generating graphics... => 3
{{1},{2,5},{3,4,6}} generating graphics... => 3
{{1},{2,6},{3,4,5}} generating graphics... => 3
{{1},{2,5,6},{3,4}} generating graphics... => 3
{{1},{2,4,6},{3,5}} generating graphics... => 3
{{1},{2,4,5},{3,6}} generating graphics... => 3
{{1},{2,3,6},{4,5}} generating graphics... => 4
{{1},{2,3,5},{4,6}} generating graphics... => 4
{{1},{2,3,4},{5,6}} generating graphics... => 5
{{1,3},{2},{4,5,6}} generating graphics... => 4
{{1,4},{2},{3,5,6}} generating graphics... => 3
{{1,5},{2},{3,4,6}} generating graphics... => 3
{{1,6},{2},{3,4,5}} generating graphics... => 3
{{1,2},{3},{4,5,6}} generating graphics... => 5
{{1,2},{3,5,6},{4}} generating graphics... => 5
{{1,2},{3,4,6},{5}} generating graphics... => 6
{{1,2},{3,4,5},{6}} generating graphics... => 7
{{1,4},{2,5,6},{3}} generating graphics... => 3
{{1,5},{2,4,6},{3}} generating graphics... => 3
{{1,6},{2,4,5},{3}} generating graphics... => 3
{{1,3},{2,5,6},{4}} generating graphics... => 4
{{1,3},{2,4,6},{5}} generating graphics... => 5
{{1,3},{2,4,5},{6}} generating graphics... => 6
{{1,5},{2,3,6},{4}} generating graphics... => 4
{{1,6},{2,3,5},{4}} generating graphics... => 4
{{1,4},{2,3,6},{5}} generating graphics... => 5
{{1,4},{2,3,5},{6}} generating graphics... => 6
{{1,6},{2,3,4},{5}} generating graphics... => 5
{{1,5},{2,3,4},{6}} generating graphics... => 6
{{1,5,6},{2},{3,4}} generating graphics... => 3
{{1,4,6},{2},{3,5}} generating graphics... => 3
{{1,4,5},{2},{3,6}} generating graphics... => 3
{{1,3,6},{2},{4,5}} generating graphics... => 4
{{1,3,5},{2},{4,6}} generating graphics... => 4
{{1,3,4},{2},{5,6}} generating graphics... => 5
{{1,5,6},{2,4},{3}} generating graphics... => 3
{{1,4,6},{2,5},{3}} generating graphics... => 3
{{1,4,5},{2,6},{3}} generating graphics... => 3
{{1,5,6},{2,3},{4}} generating graphics... => 4
{{1,4,6},{2,3},{5}} generating graphics... => 5
{{1,4,5},{2,3},{6}} generating graphics... => 6
{{1,3,6},{2,5},{4}} generating graphics... => 4
{{1,3,5},{2,6},{4}} generating graphics... => 4
{{1,3,6},{2,4},{5}} generating graphics... => 5
{{1,3,5},{2,4},{6}} generating graphics... => 6
{{1,3,4},{2,6},{5}} generating graphics... => 5
{{1,3,4},{2,5},{6}} generating graphics... => 6
{{1,2,6},{3},{4,5}} generating graphics... => 5
{{1,2,5},{3},{4,6}} generating graphics... => 5
{{1,2,4},{3},{5,6}} generating graphics... => 6
{{1,2,6},{3,5},{4}} generating graphics... => 5
{{1,2,5},{3,6},{4}} generating graphics... => 5
{{1,2,6},{3,4},{5}} generating graphics... => 6
{{1,2,5},{3,4},{6}} generating graphics... => 7
{{1,2,4},{3,6},{5}} generating graphics... => 6
{{1,2,4},{3,5},{6}} generating graphics... => 7
{{1,2,3},{4},{5,6}} generating graphics... => 7
{{1,2,3},{4,6},{5}} generating graphics... => 7
{{1,2,3},{4,5},{6}} generating graphics... => 8
{{1},{2},{3},{4,5,6}} generating graphics... => 6
{{1},{2},{3,5,6},{4}} generating graphics... => 6
{{1},{2},{3,4,6},{5}} generating graphics... => 7
{{1},{2},{3,4,5},{6}} generating graphics... => 8
{{1},{2,5,6},{3},{4}} generating graphics... => 6
{{1},{2,4,6},{3},{5}} generating graphics... => 7
{{1},{2,4,5},{3},{6}} generating graphics... => 8
{{1},{2,3,6},{4},{5}} generating graphics... => 8
{{1},{2,3,5},{4},{6}} generating graphics... => 9
{{1},{2,3,4},{5},{6}} generating graphics... => 10
{{1,5,6},{2},{3},{4}} generating graphics... => 6
{{1,4,6},{2},{3},{5}} generating graphics... => 7
{{1,4,5},{2},{3},{6}} generating graphics... => 8
{{1,3,6},{2},{4},{5}} generating graphics... => 8
{{1,3,5},{2},{4},{6}} generating graphics... => 9
{{1,3,4},{2},{5},{6}} generating graphics... => 10
{{1,2,6},{3},{4},{5}} generating graphics... => 9
{{1,2,5},{3},{4},{6}} generating graphics... => 10
{{1,2,4},{3},{5},{6}} generating graphics... => 11
{{1,2,3},{4},{5},{6}} generating graphics... => 12
{{1,2},{3,4},{5,6}} generating graphics... => 6
{{1,2},{3,5},{4,6}} generating graphics... => 5
{{1,2},{3,6},{4,5}} generating graphics... => 5
{{1,3},{2,4},{5,6}} generating graphics... => 5
{{1,3},{2,5},{4,6}} generating graphics... => 4
{{1,3},{2,6},{4,5}} generating graphics... => 4
{{1,4},{2,3},{5,6}} generating graphics... => 5
{{1,4},{2,5},{3,6}} generating graphics... => 3
{{1,4},{2,6},{3,5}} generating graphics... => 3
{{1,5},{2,3},{4,6}} generating graphics... => 4
{{1,5},{2,4},{3,6}} generating graphics... => 3
{{1,5},{2,6},{3,4}} generating graphics... => 3
{{1,6},{2,3},{4,5}} generating graphics... => 4
{{1,6},{2,4},{3,5}} generating graphics... => 3
{{1,6},{2,5},{3,4}} generating graphics... => 3
{{1},{2},{3,4},{5,6}} generating graphics... => 7
{{1},{2},{3,5},{4,6}} generating graphics... => 6
{{1},{2},{3,6},{4,5}} generating graphics... => 6
{{1},{2,4},{3},{5,6}} generating graphics... => 7
{{1},{2,5},{3},{4,6}} generating graphics... => 6
{{1},{2,6},{3},{4,5}} generating graphics... => 6
{{1},{2,3},{4},{5,6}} generating graphics... => 8
{{1},{2,5},{3,6},{4}} generating graphics... => 6
{{1},{2,6},{3,5},{4}} generating graphics... => 6
{{1},{2,3},{4,6},{5}} generating graphics... => 8
{{1},{2,4},{3,6},{5}} generating graphics... => 7
{{1},{2,6},{3,4},{5}} generating graphics... => 7
{{1},{2,3},{4,5},{6}} generating graphics... => 9
{{1},{2,4},{3,5},{6}} generating graphics... => 8
{{1},{2,5},{3,4},{6}} generating graphics... => 8
{{1,4},{2},{3},{5,6}} generating graphics... => 7
{{1,5},{2},{3},{4,6}} generating graphics... => 6
{{1,6},{2},{3},{4,5}} generating graphics... => 6
{{1,3},{2},{4},{5,6}} generating graphics... => 8
{{1,5},{2},{3,6},{4}} generating graphics... => 6
{{1,6},{2},{3,5},{4}} generating graphics... => 6
{{1,3},{2},{4,6},{5}} generating graphics... => 8
{{1,4},{2},{3,6},{5}} generating graphics... => 7
{{1,6},{2},{3,4},{5}} generating graphics... => 7
{{1,3},{2},{4,5},{6}} generating graphics... => 9
{{1,4},{2},{3,5},{6}} generating graphics... => 8
{{1,5},{2},{3,4},{6}} generating graphics... => 8
{{1,2},{3},{4},{5,6}} generating graphics... => 9
{{1,5},{2,6},{3},{4}} generating graphics... => 6
{{1,6},{2,5},{3},{4}} generating graphics... => 6
{{1,2},{3},{4,6},{5}} generating graphics... => 9
{{1,4},{2,6},{3},{5}} generating graphics... => 7
{{1,6},{2,4},{3},{5}} generating graphics... => 7
{{1,2},{3},{4,5},{6}} generating graphics... => 10
{{1,4},{2,5},{3},{6}} generating graphics... => 8
{{1,5},{2,4},{3},{6}} generating graphics... => 8
{{1,2},{3,6},{4},{5}} generating graphics... => 9
{{1,3},{2,6},{4},{5}} generating graphics... => 8
{{1,6},{2,3},{4},{5}} generating graphics... => 8
{{1,2},{3,5},{4},{6}} generating graphics... => 10
{{1,3},{2,5},{4},{6}} generating graphics... => 9
{{1,5},{2,3},{4},{6}} generating graphics... => 9
{{1,2},{3,4},{5},{6}} generating graphics... => 11
{{1,3},{2,4},{5},{6}} generating graphics... => 10
{{1,4},{2,3},{5},{6}} generating graphics... => 10
{{1},{2},{3},{4},{5,6}} generating graphics... => 10
{{1},{2},{3},{4,6},{5}} generating graphics... => 10
{{1},{2},{3},{4,5},{6}} generating graphics... => 11
{{1},{2},{3,6},{4},{5}} generating graphics... => 10
{{1},{2},{3,5},{4},{6}} generating graphics... => 11
{{1},{2},{3,4},{5},{6}} generating graphics... => 12
{{1},{2,6},{3},{4},{5}} generating graphics... => 10
{{1},{2,5},{3},{4},{6}} generating graphics... => 11
{{1},{2,4},{3},{5},{6}} generating graphics... => 12
{{1},{2,3},{4},{5},{6}} generating graphics... => 13
{{1,6},{2},{3},{4},{5}} generating graphics... => 10
{{1,5},{2},{3},{4},{6}} generating graphics... => 11
{{1,4},{2},{3},{5},{6}} generating graphics... => 12
{{1,3},{2},{4},{5},{6}} generating graphics... => 13
{{1,2},{3},{4},{5},{6}} generating graphics... => 14
{{1},{2},{3},{4},{5},{6}} generating graphics... => 15
{{1,2,3,4,5,6,7}} generating graphics... => 0
{{1},{2,3,4,5,6,7}} generating graphics... => 1
{{1,3,4,5,6,7},{2}} generating graphics... => 1
{{1,2,4,5,6,7},{3}} generating graphics... => 2
{{1,2,3,5,6,7},{4}} generating graphics... => 3
{{1,2,3,4,6,7},{5}} generating graphics... => 4
{{1,2,3,4,5,7},{6}} generating graphics... => 5
{{1,2,3,4,5,6},{7}} generating graphics... => 6
{{1,2},{3,4,5,6,7}} generating graphics... => 2
{{1,3},{2,4,5,6,7}} generating graphics... => 1
{{1,4},{2,3,5,6,7}} generating graphics... => 1
{{1,5},{2,3,4,6,7}} generating graphics... => 1
{{1,6},{2,3,4,5,7}} generating graphics... => 1
{{1,7},{2,3,4,5,6}} generating graphics... => 1
{{1,4,5,6,7},{2,3}} generating graphics... => 1
{{1,3,5,6,7},{2,4}} generating graphics... => 1
{{1,3,4,6,7},{2,5}} generating graphics... => 1
{{1,3,4,5,7},{2,6}} generating graphics... => 1
{{1,3,4,5,6},{2,7}} generating graphics... => 1
{{1,2,5,6,7},{3,4}} generating graphics... => 2
{{1,2,4,6,7},{3,5}} generating graphics... => 2
{{1,2,4,5,7},{3,6}} generating graphics... => 2
{{1,2,4,5,6},{3,7}} generating graphics... => 2
{{1,2,3,6,7},{4,5}} generating graphics... => 3
{{1,2,3,5,7},{4,6}} generating graphics... => 3
{{1,2,3,5,6},{4,7}} generating graphics... => 3
{{1,2,3,4,7},{5,6}} generating graphics... => 4
{{1,2,3,4,6},{5,7}} generating graphics... => 4
{{1,2,3,4,5},{6,7}} generating graphics... => 5
{{1},{2},{3,4,5,6,7}} generating graphics... => 3
{{1},{2,4,5,6,7},{3}} generating graphics... => 3
{{1},{2,3,5,6,7},{4}} generating graphics... => 4
{{1},{2,3,4,6,7},{5}} generating graphics... => 5
{{1},{2,3,4,5,7},{6}} generating graphics... => 6
{{1},{2,3,4,5,6},{7}} generating graphics... => 7
{{1,4,5,6,7},{2},{3}} generating graphics... => 3
{{1,3,5,6,7},{2},{4}} generating graphics... => 4
{{1,3,4,6,7},{2},{5}} generating graphics... => 5
{{1,3,4,5,7},{2},{6}} generating graphics... => 6
{{1,3,4,5,6},{2},{7}} generating graphics... => 7
{{1,2,5,6,7},{3},{4}} generating graphics... => 5
{{1,2,4,6,7},{3},{5}} generating graphics... => 6
{{1,2,4,5,7},{3},{6}} generating graphics... => 7
{{1,2,4,5,6},{3},{7}} generating graphics... => 8
{{1,2,3,6,7},{4},{5}} generating graphics... => 7
{{1,2,3,5,7},{4},{6}} generating graphics... => 8
{{1,2,3,5,6},{4},{7}} generating graphics... => 9
{{1,2,3,4,7},{5},{6}} generating graphics... => 9
{{1,2,3,4,6},{5},{7}} generating graphics... => 10
{{1,2,3,4,5},{6},{7}} generating graphics... => 11
{{1,2,3},{4,5,6,7}} generating graphics... => 3
{{1,2,4},{3,5,6,7}} generating graphics... => 2
{{1,2,5},{3,4,6,7}} generating graphics... => 2
{{1,2,6},{3,4,5,7}} generating graphics... => 2
{{1,2,7},{3,4,5,6}} generating graphics... => 2
{{1,3,4},{2,5,6,7}} generating graphics... => 1
{{1,3,5},{2,4,6,7}} generating graphics... => 1
{{1,3,6},{2,4,5,7}} generating graphics... => 1
{{1,3,7},{2,4,5,6}} generating graphics... => 1
{{1,4,5},{2,3,6,7}} generating graphics... => 1
{{1,4,6},{2,3,5,7}} generating graphics... => 1
{{1,4,7},{2,3,5,6}} generating graphics... => 1
{{1,5,6},{2,3,4,7}} generating graphics... => 1
{{1,5,7},{2,3,4,6}} generating graphics... => 1
{{1,6,7},{2,3,4,5}} generating graphics... => 1
{{1,5,6,7},{2,3,4}} generating graphics... => 1
{{1,4,6,7},{2,3,5}} generating graphics... => 1
{{1,4,5,7},{2,3,6}} generating graphics... => 1
{{1,4,5,6},{2,3,7}} generating graphics... => 1
{{1,3,6,7},{2,4,5}} generating graphics... => 1
{{1,3,5,7},{2,4,6}} generating graphics... => 1
{{1,3,5,6},{2,4,7}} generating graphics... => 1
{{1,3,4,7},{2,5,6}} generating graphics... => 1
{{1,3,4,6},{2,5,7}} generating graphics... => 1
{{1,3,4,5},{2,6,7}} generating graphics... => 1
{{1,2,6,7},{3,4,5}} generating graphics... => 2
{{1,2,5,7},{3,4,6}} generating graphics... => 2
{{1,2,5,6},{3,4,7}} generating graphics... => 2
{{1,2,4,7},{3,5,6}} generating graphics... => 2
{{1,2,4,6},{3,5,7}} generating graphics... => 2
{{1,2,4,5},{3,6,7}} generating graphics... => 2
{{1,2,3,7},{4,5,6}} generating graphics... => 3
{{1,2,3,6},{4,5,7}} generating graphics... => 3
{{1,2,3,5},{4,6,7}} generating graphics... => 3
{{1,2,3,4},{5,6,7}} generating graphics... => 4
{{1},{2,3},{4,5,6,7}} generating graphics... => 4
{{1},{2,4},{3,5,6,7}} generating graphics... => 3
{{1},{2,5},{3,4,6,7}} generating graphics... => 3
{{1},{2,6},{3,4,5,7}} generating graphics... => 3
{{1},{2,7},{3,4,5,6}} generating graphics... => 3
{{1},{2,5,6,7},{3,4}} generating graphics... => 3
{{1},{2,4,6,7},{3,5}} generating graphics... => 3
{{1},{2,4,5,7},{3,6}} generating graphics... => 3
{{1},{2,4,5,6},{3,7}} generating graphics... => 3
{{1},{2,3,6,7},{4,5}} generating graphics... => 4
{{1},{2,3,5,7},{4,6}} generating graphics... => 4
{{1},{2,3,5,6},{4,7}} generating graphics... => 4
{{1},{2,3,4,7},{5,6}} generating graphics... => 5
{{1},{2,3,4,6},{5,7}} generating graphics... => 5
{{1},{2,3,4,5},{6,7}} generating graphics... => 6
{{1,3},{2},{4,5,6,7}} generating graphics... => 4
{{1,4},{2},{3,5,6,7}} generating graphics... => 3
{{1,5},{2},{3,4,6,7}} generating graphics... => 3
{{1,6},{2},{3,4,5,7}} generating graphics... => 3
{{1,7},{2},{3,4,5,6}} generating graphics... => 3
{{1,2},{3},{4,5,6,7}} generating graphics... => 5
{{1,2},{3,5,6,7},{4}} generating graphics... => 5
{{1,2},{3,4,6,7},{5}} generating graphics... => 6
{{1,2},{3,4,5,7},{6}} generating graphics... => 7
{{1,2},{3,4,5,6},{7}} generating graphics... => 8
{{1,4},{2,5,6,7},{3}} generating graphics... => 3
{{1,5},{2,4,6,7},{3}} generating graphics... => 3
{{1,6},{2,4,5,7},{3}} generating graphics... => 3
{{1,7},{2,4,5,6},{3}} generating graphics... => 3
{{1,3},{2,5,6,7},{4}} generating graphics... => 4
{{1,3},{2,4,6,7},{5}} generating graphics... => 5
{{1,3},{2,4,5,7},{6}} generating graphics... => 6
{{1,3},{2,4,5,6},{7}} generating graphics... => 7
{{1,5},{2,3,6,7},{4}} generating graphics... => 4
{{1,6},{2,3,5,7},{4}} generating graphics... => 4
{{1,7},{2,3,5,6},{4}} generating graphics... => 4
{{1,4},{2,3,6,7},{5}} generating graphics... => 5
{{1,4},{2,3,5,7},{6}} generating graphics... => 6
{{1,4},{2,3,5,6},{7}} generating graphics... => 7
{{1,6},{2,3,4,7},{5}} generating graphics... => 5
{{1,7},{2,3,4,6},{5}} generating graphics... => 5
{{1,5},{2,3,4,7},{6}} generating graphics... => 6
{{1,5},{2,3,4,6},{7}} generating graphics... => 7
{{1,7},{2,3,4,5},{6}} generating graphics... => 6
{{1,6},{2,3,4,5},{7}} generating graphics... => 7
{{1,5,6,7},{2},{3,4}} generating graphics... => 3
{{1,4,6,7},{2},{3,5}} generating graphics... => 3
{{1,4,5,7},{2},{3,6}} generating graphics... => 3
{{1,4,5,6},{2},{3,7}} generating graphics... => 3
{{1,3,6,7},{2},{4,5}} generating graphics... => 4
{{1,3,5,7},{2},{4,6}} generating graphics... => 4
{{1,3,5,6},{2},{4,7}} generating graphics... => 4
{{1,3,4,7},{2},{5,6}} generating graphics... => 5
{{1,3,4,6},{2},{5,7}} generating graphics... => 5
{{1,3,4,5},{2},{6,7}} generating graphics... => 6
{{1,5,6,7},{2,4},{3}} generating graphics... => 3
{{1,4,6,7},{2,5},{3}} generating graphics... => 3
{{1,4,5,7},{2,6},{3}} generating graphics... => 3
{{1,4,5,6},{2,7},{3}} generating graphics... => 3
{{1,5,6,7},{2,3},{4}} generating graphics... => 4
{{1,4,6,7},{2,3},{5}} generating graphics... => 5
{{1,4,5,7},{2,3},{6}} generating graphics... => 6
{{1,4,5,6},{2,3},{7}} generating graphics... => 7
{{1,3,6,7},{2,5},{4}} generating graphics... => 4
{{1,3,5,7},{2,6},{4}} generating graphics... => 4
{{1,3,5,6},{2,7},{4}} generating graphics... => 4
{{1,3,6,7},{2,4},{5}} generating graphics... => 5
{{1,3,5,7},{2,4},{6}} generating graphics... => 6
{{1,3,5,6},{2,4},{7}} generating graphics... => 7
{{1,3,4,7},{2,6},{5}} generating graphics... => 5
{{1,3,4,6},{2,7},{5}} generating graphics... => 5
{{1,3,4,7},{2,5},{6}} generating graphics... => 6
{{1,3,4,6},{2,5},{7}} generating graphics... => 7
{{1,3,4,5},{2,7},{6}} generating graphics... => 6
{{1,3,4,5},{2,6},{7}} generating graphics... => 7
{{1,2,6,7},{3},{4,5}} generating graphics... => 5
{{1,2,5,7},{3},{4,6}} generating graphics... => 5
{{1,2,5,6},{3},{4,7}} generating graphics... => 5
{{1,2,4,7},{3},{5,6}} generating graphics... => 6
{{1,2,4,6},{3},{5,7}} generating graphics... => 6
{{1,2,4,5},{3},{6,7}} generating graphics... => 7
{{1,2,6,7},{3,5},{4}} generating graphics... => 5
{{1,2,5,7},{3,6},{4}} generating graphics... => 5
{{1,2,5,6},{3,7},{4}} generating graphics... => 5
{{1,2,6,7},{3,4},{5}} generating graphics... => 6
{{1,2,5,7},{3,4},{6}} generating graphics... => 7
{{1,2,5,6},{3,4},{7}} generating graphics... => 8
{{1,2,4,7},{3,6},{5}} generating graphics... => 6
{{1,2,4,6},{3,7},{5}} generating graphics... => 6
{{1,2,4,7},{3,5},{6}} generating graphics... => 7
{{1,2,4,6},{3,5},{7}} generating graphics... => 8
{{1,2,4,5},{3,7},{6}} generating graphics... => 7
{{1,2,4,5},{3,6},{7}} generating graphics... => 8
{{1,2,3,7},{4},{5,6}} generating graphics... => 7
{{1,2,3,6},{4},{5,7}} generating graphics... => 7
{{1,2,3,5},{4},{6,7}} generating graphics... => 8
{{1,2,3,7},{4,6},{5}} generating graphics... => 7
{{1,2,3,6},{4,7},{5}} generating graphics... => 7
{{1,2,3,7},{4,5},{6}} generating graphics... => 8
{{1,2,3,6},{4,5},{7}} generating graphics... => 9
{{1,2,3,5},{4,7},{6}} generating graphics... => 8
{{1,2,3,5},{4,6},{7}} generating graphics... => 9
{{1,2,3,4},{5},{6,7}} generating graphics... => 9
{{1,2,3,4},{5,7},{6}} generating graphics... => 9
{{1,2,3,4},{5,6},{7}} generating graphics... => 10
{{1},{2},{3},{4,5,6,7}} generating graphics... => 6
{{1},{2},{3,5,6,7},{4}} generating graphics... => 6
{{1},{2},{3,4,6,7},{5}} generating graphics... => 7
{{1},{2},{3,4,5,7},{6}} generating graphics... => 8
{{1},{2},{3,4,5,6},{7}} generating graphics... => 9
{{1},{2,5,6,7},{3},{4}} generating graphics... => 6
{{1},{2,4,6,7},{3},{5}} generating graphics... => 7
{{1},{2,4,5,7},{3},{6}} generating graphics... => 8
{{1},{2,4,5,6},{3},{7}} generating graphics... => 9
{{1},{2,3,6,7},{4},{5}} generating graphics... => 8
{{1},{2,3,5,7},{4},{6}} generating graphics... => 9
{{1},{2,3,5,6},{4},{7}} generating graphics... => 10
{{1},{2,3,4,7},{5},{6}} generating graphics... => 10
{{1},{2,3,4,6},{5},{7}} generating graphics... => 11
{{1},{2,3,4,5},{6},{7}} generating graphics... => 12
{{1,5,6,7},{2},{3},{4}} generating graphics... => 6
{{1,4,6,7},{2},{3},{5}} generating graphics... => 7
{{1,4,5,7},{2},{3},{6}} generating graphics... => 8
{{1,4,5,6},{2},{3},{7}} generating graphics... => 9
{{1,3,6,7},{2},{4},{5}} generating graphics... => 8
{{1,3,5,7},{2},{4},{6}} generating graphics... => 9
{{1,3,5,6},{2},{4},{7}} generating graphics... => 10
{{1,3,4,7},{2},{5},{6}} generating graphics... => 10
{{1,3,4,6},{2},{5},{7}} generating graphics... => 11
{{1,3,4,5},{2},{6},{7}} generating graphics... => 12
{{1,2,6,7},{3},{4},{5}} generating graphics... => 9
{{1,2,5,7},{3},{4},{6}} generating graphics... => 10
{{1,2,5,6},{3},{4},{7}} generating graphics... => 11
{{1,2,4,7},{3},{5},{6}} generating graphics... => 11
{{1,2,4,6},{3},{5},{7}} generating graphics... => 12
{{1,2,4,5},{3},{6},{7}} generating graphics... => 13
{{1,2,3,7},{4},{5},{6}} generating graphics... => 12
{{1,2,3,6},{4},{5},{7}} generating graphics... => 13
{{1,2,3,5},{4},{6},{7}} generating graphics... => 14
{{1,2,3,4},{5},{6},{7}} generating graphics... => 15
{{1},{2,3,4},{5,6,7}} generating graphics... => 5
{{1},{2,3,5},{4,6,7}} generating graphics... => 4
{{1},{2,3,6},{4,5,7}} generating graphics... => 4
{{1},{2,3,7},{4,5,6}} generating graphics... => 4
{{1},{2,4,5},{3,6,7}} generating graphics... => 3
{{1},{2,4,6},{3,5,7}} generating graphics... => 3
{{1},{2,4,7},{3,5,6}} generating graphics... => 3
{{1},{2,5,6},{3,4,7}} generating graphics... => 3
{{1},{2,5,7},{3,4,6}} generating graphics... => 3
{{1},{2,6,7},{3,4,5}} generating graphics... => 3
{{1,3,4},{2},{5,6,7}} generating graphics... => 5
{{1,3,5},{2},{4,6,7}} generating graphics... => 4
{{1,3,6},{2},{4,5,7}} generating graphics... => 4
{{1,3,7},{2},{4,5,6}} generating graphics... => 4
{{1,4,5},{2},{3,6,7}} generating graphics... => 3
{{1,4,6},{2},{3,5,7}} generating graphics... => 3
{{1,4,7},{2},{3,5,6}} generating graphics... => 3
{{1,5,6},{2},{3,4,7}} generating graphics... => 3
{{1,5,7},{2},{3,4,6}} generating graphics... => 3
{{1,6,7},{2},{3,4,5}} generating graphics... => 3
{{1,2,4},{3},{5,6,7}} generating graphics... => 6
{{1,2,5},{3},{4,6,7}} generating graphics... => 5
{{1,2,6},{3},{4,5,7}} generating graphics... => 5
{{1,2,7},{3},{4,5,6}} generating graphics... => 5
{{1,4,5},{2,6,7},{3}} generating graphics... => 3
{{1,4,6},{2,5,7},{3}} generating graphics... => 3
{{1,4,7},{2,5,6},{3}} generating graphics... => 3
{{1,5,6},{2,4,7},{3}} generating graphics... => 3
{{1,5,7},{2,4,6},{3}} generating graphics... => 3
{{1,6,7},{2,4,5},{3}} generating graphics... => 3
{{1,2,3},{4},{5,6,7}} generating graphics... => 7
{{1,2,5},{3,6,7},{4}} generating graphics... => 5
{{1,2,6},{3,5,7},{4}} generating graphics... => 5
{{1,2,7},{3,5,6},{4}} generating graphics... => 5
{{1,3,5},{2,6,7},{4}} generating graphics... => 4
{{1,3,6},{2,5,7},{4}} generating graphics... => 4
{{1,3,7},{2,5,6},{4}} generating graphics... => 4
{{1,5,6},{2,3,7},{4}} generating graphics... => 4
{{1,5,7},{2,3,6},{4}} generating graphics... => 4
{{1,6,7},{2,3,5},{4}} generating graphics... => 4
{{1,2,3},{4,6,7},{5}} generating graphics... => 7
{{1,2,4},{3,6,7},{5}} generating graphics... => 6
{{1,2,6},{3,4,7},{5}} generating graphics... => 6
{{1,2,7},{3,4,6},{5}} generating graphics... => 6
{{1,3,4},{2,6,7},{5}} generating graphics... => 5
{{1,3,6},{2,4,7},{5}} generating graphics... => 5
{{1,3,7},{2,4,6},{5}} generating graphics... => 5
{{1,4,6},{2,3,7},{5}} generating graphics... => 5
{{1,4,7},{2,3,6},{5}} generating graphics... => 5
{{1,6,7},{2,3,4},{5}} generating graphics... => 5
{{1,2,3},{4,5,7},{6}} generating graphics... => 8
{{1,2,4},{3,5,7},{6}} generating graphics... => 7
{{1,2,5},{3,4,7},{6}} generating graphics... => 7
{{1,2,7},{3,4,5},{6}} generating graphics... => 7
{{1,3,4},{2,5,7},{6}} generating graphics... => 6
{{1,3,5},{2,4,7},{6}} generating graphics... => 6
{{1,3,7},{2,4,5},{6}} generating graphics... => 6
{{1,4,5},{2,3,7},{6}} generating graphics... => 6
{{1,4,7},{2,3,5},{6}} generating graphics... => 6
{{1,5,7},{2,3,4},{6}} generating graphics... => 6
{{1,2,3},{4,5,6},{7}} generating graphics... => 9
{{1,2,4},{3,5,6},{7}} generating graphics... => 8
{{1,2,5},{3,4,6},{7}} generating graphics... => 8
{{1,2,6},{3,4,5},{7}} generating graphics... => 8
{{1,3,4},{2,5,6},{7}} generating graphics... => 7
{{1,3,5},{2,4,6},{7}} generating graphics... => 7
{{1,3,6},{2,4,5},{7}} generating graphics... => 7
{{1,4,5},{2,3,6},{7}} generating graphics... => 7
{{1,4,6},{2,3,5},{7}} generating graphics... => 7
{{1,5,6},{2,3,4},{7}} generating graphics... => 7
{{1,2},{3,4},{5,6,7}} generating graphics... => 6
{{1,3},{2,4},{5,6,7}} generating graphics... => 5
{{1,4},{2,3},{5,6,7}} generating graphics... => 5
{{1,2},{3,5},{4,6,7}} generating graphics... => 5
{{1,3},{2,5},{4,6,7}} generating graphics... => 4
{{1,5},{2,3},{4,6,7}} generating graphics... => 4
{{1,2},{3,6},{4,5,7}} generating graphics... => 5
{{1,3},{2,6},{4,5,7}} generating graphics... => 4
{{1,6},{2,3},{4,5,7}} generating graphics... => 4
{{1,2},{3,7},{4,5,6}} generating graphics... => 5
{{1,3},{2,7},{4,5,6}} generating graphics... => 4
{{1,7},{2,3},{4,5,6}} generating graphics... => 4
{{1,2},{3,6,7},{4,5}} generating graphics... => 5
{{1,4},{2,5},{3,6,7}} generating graphics... => 3
{{1,5},{2,4},{3,6,7}} generating graphics... => 3
{{1,2},{3,5,7},{4,6}} generating graphics... => 5
{{1,4},{2,6},{3,5,7}} generating graphics... => 3
{{1,6},{2,4},{3,5,7}} generating graphics... => 3
{{1,2},{3,5,6},{4,7}} generating graphics... => 5
{{1,4},{2,7},{3,5,6}} generating graphics... => 3
{{1,7},{2,4},{3,5,6}} generating graphics... => 3
{{1,2},{3,4,7},{5,6}} generating graphics... => 6
{{1,5},{2,6},{3,4,7}} generating graphics... => 3
{{1,6},{2,5},{3,4,7}} generating graphics... => 3
{{1,2},{3,4,6},{5,7}} generating graphics... => 6
{{1,5},{2,7},{3,4,6}} generating graphics... => 3
{{1,7},{2,5},{3,4,6}} generating graphics... => 3
{{1,2},{3,4,5},{6,7}} generating graphics... => 7
{{1,6},{2,7},{3,4,5}} generating graphics... => 3
{{1,7},{2,6},{3,4,5}} generating graphics... => 3
{{1,3},{2,6,7},{4,5}} generating graphics... => 4
{{1,4},{2,6,7},{3,5}} generating graphics... => 3
{{1,5},{2,6,7},{3,4}} generating graphics... => 3
{{1,3},{2,5,7},{4,6}} generating graphics... => 4
{{1,4},{2,5,7},{3,6}} generating graphics... => 3
{{1,6},{2,5,7},{3,4}} generating graphics... => 3
{{1,3},{2,5,6},{4,7}} generating graphics... => 4
{{1,4},{2,5,6},{3,7}} generating graphics... => 3
{{1,7},{2,5,6},{3,4}} generating graphics... => 3
{{1,3},{2,4,7},{5,6}} generating graphics... => 5
{{1,5},{2,4,7},{3,6}} generating graphics... => 3
{{1,6},{2,4,7},{3,5}} generating graphics... => 3
{{1,3},{2,4,6},{5,7}} generating graphics... => 5
{{1,5},{2,4,6},{3,7}} generating graphics... => 3
{{1,7},{2,4,6},{3,5}} generating graphics... => 3
{{1,3},{2,4,5},{6,7}} generating graphics... => 6
{{1,6},{2,4,5},{3,7}} generating graphics... => 3
{{1,7},{2,4,5},{3,6}} generating graphics... => 3
{{1,4},{2,3,7},{5,6}} generating graphics... => 5
{{1,5},{2,3,7},{4,6}} generating graphics... => 4
{{1,6},{2,3,7},{4,5}} generating graphics... => 4
{{1,4},{2,3,6},{5,7}} generating graphics... => 5
{{1,5},{2,3,6},{4,7}} generating graphics... => 4
{{1,7},{2,3,6},{4,5}} generating graphics... => 4
{{1,4},{2,3,5},{6,7}} generating graphics... => 6
{{1,6},{2,3,5},{4,7}} generating graphics... => 4
{{1,7},{2,3,5},{4,6}} generating graphics... => 4
{{1,5},{2,3,4},{6,7}} generating graphics... => 6
{{1,6},{2,3,4},{5,7}} generating graphics... => 5
{{1,7},{2,3,4},{5,6}} generating graphics... => 5
{{1,6,7},{2,3},{4,5}} generating graphics... => 4
{{1,6,7},{2,4},{3,5}} generating graphics... => 3
{{1,6,7},{2,5},{3,4}} generating graphics... => 3
{{1,5,7},{2,3},{4,6}} generating graphics... => 4
{{1,5,7},{2,4},{3,6}} generating graphics... => 3
{{1,5,7},{2,6},{3,4}} generating graphics... => 3
{{1,5,6},{2,3},{4,7}} generating graphics... => 4
{{1,5,6},{2,4},{3,7}} generating graphics... => 3
{{1,5,6},{2,7},{3,4}} generating graphics... => 3
{{1,4,7},{2,3},{5,6}} generating graphics... => 5
{{1,4,7},{2,5},{3,6}} generating graphics... => 3
{{1,4,7},{2,6},{3,5}} generating graphics... => 3
{{1,4,6},{2,3},{5,7}} generating graphics... => 5
{{1,4,6},{2,5},{3,7}} generating graphics... => 3
{{1,4,6},{2,7},{3,5}} generating graphics... => 3
{{1,4,5},{2,3},{6,7}} generating graphics... => 6
{{1,4,5},{2,6},{3,7}} generating graphics... => 3
{{1,4,5},{2,7},{3,6}} generating graphics... => 3
{{1,3,7},{2,4},{5,6}} generating graphics... => 5
{{1,3,7},{2,5},{4,6}} generating graphics... => 4
{{1,3,7},{2,6},{4,5}} generating graphics... => 4
{{1,3,6},{2,4},{5,7}} generating graphics... => 5
{{1,3,6},{2,5},{4,7}} generating graphics... => 4
{{1,3,6},{2,7},{4,5}} generating graphics... => 4
{{1,3,5},{2,4},{6,7}} generating graphics... => 6
{{1,3,5},{2,6},{4,7}} generating graphics... => 4
{{1,3,5},{2,7},{4,6}} generating graphics... => 4
{{1,3,4},{2,5},{6,7}} generating graphics... => 6
{{1,3,4},{2,6},{5,7}} generating graphics... => 5
{{1,3,4},{2,7},{5,6}} generating graphics... => 5
{{1,2,7},{3,4},{5,6}} generating graphics... => 6
{{1,2,7},{3,5},{4,6}} generating graphics... => 5
{{1,2,7},{3,6},{4,5}} generating graphics... => 5
{{1,2,6},{3,4},{5,7}} generating graphics... => 6
{{1,2,6},{3,5},{4,7}} generating graphics... => 5
{{1,2,6},{3,7},{4,5}} generating graphics... => 5
{{1,2,5},{3,4},{6,7}} generating graphics... => 7
{{1,2,5},{3,6},{4,7}} generating graphics... => 5
{{1,2,5},{3,7},{4,6}} generating graphics... => 5
{{1,2,4},{3,5},{6,7}} generating graphics... => 7
{{1,2,4},{3,6},{5,7}} generating graphics... => 6
{{1,2,4},{3,7},{5,6}} generating graphics... => 6
{{1,2,3},{4,5},{6,7}} generating graphics... => 8
{{1,2,3},{4,6},{5,7}} generating graphics... => 7
{{1,2,3},{4,7},{5,6}} generating graphics... => 7
{{1},{2},{3,4},{5,6,7}} generating graphics... => 7
{{1},{2},{3,5},{4,6,7}} generating graphics... => 6
{{1},{2},{3,6},{4,5,7}} generating graphics... => 6
{{1},{2},{3,7},{4,5,6}} generating graphics... => 6
{{1},{2},{3,6,7},{4,5}} generating graphics... => 6
{{1},{2},{3,5,7},{4,6}} generating graphics... => 6
{{1},{2},{3,5,6},{4,7}} generating graphics... => 6
{{1},{2},{3,4,7},{5,6}} generating graphics... => 7
{{1},{2},{3,4,6},{5,7}} generating graphics... => 7
{{1},{2},{3,4,5},{6,7}} generating graphics... => 8
{{1},{2,4},{3},{5,6,7}} generating graphics... => 7
{{1},{2,5},{3},{4,6,7}} generating graphics... => 6
{{1},{2,6},{3},{4,5,7}} generating graphics... => 6
{{1},{2,7},{3},{4,5,6}} generating graphics... => 6
{{1},{2,3},{4},{5,6,7}} generating graphics... => 8
{{1},{2,3},{4,6,7},{5}} generating graphics... => 8
{{1},{2,3},{4,5,7},{6}} generating graphics... => 9
{{1},{2,3},{4,5,6},{7}} generating graphics... => 10
{{1},{2,5},{3,6,7},{4}} generating graphics... => 6
{{1},{2,6},{3,5,7},{4}} generating graphics... => 6
{{1},{2,7},{3,5,6},{4}} generating graphics... => 6
{{1},{2,4},{3,6,7},{5}} generating graphics... => 7
{{1},{2,4},{3,5,7},{6}} generating graphics... => 8
{{1},{2,4},{3,5,6},{7}} generating graphics... => 9
{{1},{2,6},{3,4,7},{5}} generating graphics... => 7
{{1},{2,7},{3,4,6},{5}} generating graphics... => 7
{{1},{2,5},{3,4,7},{6}} generating graphics... => 8
{{1},{2,5},{3,4,6},{7}} generating graphics... => 9
{{1},{2,7},{3,4,5},{6}} generating graphics... => 8
{{1},{2,6},{3,4,5},{7}} generating graphics... => 9
{{1},{2,6,7},{3},{4,5}} generating graphics... => 6
{{1},{2,5,7},{3},{4,6}} generating graphics... => 6
{{1},{2,5,6},{3},{4,7}} generating graphics... => 6
{{1},{2,4,7},{3},{5,6}} generating graphics... => 7
{{1},{2,4,6},{3},{5,7}} generating graphics... => 7
{{1},{2,4,5},{3},{6,7}} generating graphics... => 8
{{1},{2,6,7},{3,5},{4}} generating graphics... => 6
{{1},{2,5,7},{3,6},{4}} generating graphics... => 6
{{1},{2,5,6},{3,7},{4}} generating graphics... => 6
{{1},{2,6,7},{3,4},{5}} generating graphics... => 7
{{1},{2,5,7},{3,4},{6}} generating graphics... => 8
{{1},{2,5,6},{3,4},{7}} generating graphics... => 9
{{1},{2,4,7},{3,6},{5}} generating graphics... => 7
{{1},{2,4,6},{3,7},{5}} generating graphics... => 7
{{1},{2,4,7},{3,5},{6}} generating graphics... => 8
{{1},{2,4,6},{3,5},{7}} generating graphics... => 9
{{1},{2,4,5},{3,7},{6}} generating graphics... => 8
{{1},{2,4,5},{3,6},{7}} generating graphics... => 9
{{1},{2,3,7},{4},{5,6}} generating graphics... => 8
{{1},{2,3,6},{4},{5,7}} generating graphics... => 8
{{1},{2,3,5},{4},{6,7}} generating graphics... => 9
{{1},{2,3,7},{4,6},{5}} generating graphics... => 8
{{1},{2,3,6},{4,7},{5}} generating graphics... => 8
{{1},{2,3,7},{4,5},{6}} generating graphics... => 9
{{1},{2,3,6},{4,5},{7}} generating graphics... => 10
{{1},{2,3,5},{4,7},{6}} generating graphics... => 9
{{1},{2,3,5},{4,6},{7}} generating graphics... => 10
{{1},{2,3,4},{5},{6,7}} generating graphics... => 10
{{1},{2,3,4},{5,7},{6}} generating graphics... => 10
{{1},{2,3,4},{5,6},{7}} generating graphics... => 11
{{1,4},{2},{3},{5,6,7}} generating graphics... => 7
{{1,5},{2},{3},{4,6,7}} generating graphics... => 6
{{1,6},{2},{3},{4,5,7}} generating graphics... => 6
{{1,7},{2},{3},{4,5,6}} generating graphics... => 6
{{1,3},{2},{4},{5,6,7}} generating graphics... => 8
{{1,3},{2},{4,6,7},{5}} generating graphics... => 8
{{1,3},{2},{4,5,7},{6}} generating graphics... => 9
{{1,3},{2},{4,5,6},{7}} generating graphics... => 10
{{1,5},{2},{3,6,7},{4}} generating graphics... => 6
{{1,6},{2},{3,5,7},{4}} generating graphics... => 6
{{1,7},{2},{3,5,6},{4}} generating graphics... => 6
{{1,4},{2},{3,6,7},{5}} generating graphics... => 7
{{1,4},{2},{3,5,7},{6}} generating graphics... => 8
{{1,4},{2},{3,5,6},{7}} generating graphics... => 9
{{1,6},{2},{3,4,7},{5}} generating graphics... => 7
{{1,7},{2},{3,4,6},{5}} generating graphics... => 7
{{1,5},{2},{3,4,7},{6}} generating graphics... => 8
{{1,5},{2},{3,4,6},{7}} generating graphics... => 9
{{1,7},{2},{3,4,5},{6}} generating graphics... => 8
{{1,6},{2},{3,4,5},{7}} generating graphics... => 9
{{1,2},{3},{4},{5,6,7}} generating graphics... => 9
{{1,2},{3},{4,6,7},{5}} generating graphics... => 9
{{1,2},{3},{4,5,7},{6}} generating graphics... => 10
{{1,2},{3},{4,5,6},{7}} generating graphics... => 11
{{1,2},{3,6,7},{4},{5}} generating graphics... => 9
{{1,2},{3,5,7},{4},{6}} generating graphics... => 10
{{1,2},{3,5,6},{4},{7}} generating graphics... => 11
{{1,2},{3,4,7},{5},{6}} generating graphics... => 11
{{1,2},{3,4,6},{5},{7}} generating graphics... => 12
{{1,2},{3,4,5},{6},{7}} generating graphics... => 13
{{1,5},{2,6,7},{3},{4}} generating graphics... => 6
{{1,6},{2,5,7},{3},{4}} generating graphics... => 6
{{1,7},{2,5,6},{3},{4}} generating graphics... => 6
{{1,4},{2,6,7},{3},{5}} generating graphics... => 7
{{1,4},{2,5,7},{3},{6}} generating graphics... => 8
{{1,4},{2,5,6},{3},{7}} generating graphics... => 9
{{1,6},{2,4,7},{3},{5}} generating graphics... => 7
{{1,7},{2,4,6},{3},{5}} generating graphics... => 7
{{1,5},{2,4,7},{3},{6}} generating graphics... => 8
{{1,5},{2,4,6},{3},{7}} generating graphics... => 9
{{1,7},{2,4,5},{3},{6}} generating graphics... => 8
{{1,6},{2,4,5},{3},{7}} generating graphics... => 9
{{1,3},{2,6,7},{4},{5}} generating graphics... => 8
{{1,3},{2,5,7},{4},{6}} generating graphics... => 9
{{1,3},{2,5,6},{4},{7}} generating graphics... => 10
{{1,3},{2,4,7},{5},{6}} generating graphics... => 10
{{1,3},{2,4,6},{5},{7}} generating graphics... => 11
{{1,3},{2,4,5},{6},{7}} generating graphics... => 12
{{1,6},{2,3,7},{4},{5}} generating graphics... => 8
{{1,7},{2,3,6},{4},{5}} generating graphics... => 8
{{1,5},{2,3,7},{4},{6}} generating graphics... => 9
{{1,5},{2,3,6},{4},{7}} generating graphics... => 10
{{1,7},{2,3,5},{4},{6}} generating graphics... => 9
{{1,6},{2,3,5},{4},{7}} generating graphics... => 10
{{1,4},{2,3,7},{5},{6}} generating graphics... => 10
{{1,4},{2,3,6},{5},{7}} generating graphics... => 11
{{1,4},{2,3,5},{6},{7}} generating graphics... => 12
{{1,7},{2,3,4},{5},{6}} generating graphics... => 10
{{1,6},{2,3,4},{5},{7}} generating graphics... => 11
{{1,5},{2,3,4},{6},{7}} generating graphics... => 12
{{1,6,7},{2},{3},{4,5}} generating graphics... => 6
{{1,5,7},{2},{3},{4,6}} generating graphics... => 6
{{1,5,6},{2},{3},{4,7}} generating graphics... => 6
{{1,4,7},{2},{3},{5,6}} generating graphics... => 7
{{1,4,6},{2},{3},{5,7}} generating graphics... => 7
{{1,4,5},{2},{3},{6,7}} generating graphics... => 8
{{1,6,7},{2},{3,5},{4}} generating graphics... => 6
{{1,5,7},{2},{3,6},{4}} generating graphics... => 6
{{1,5,6},{2},{3,7},{4}} generating graphics... => 6
{{1,6,7},{2},{3,4},{5}} generating graphics... => 7
{{1,5,7},{2},{3,4},{6}} generating graphics... => 8
{{1,5,6},{2},{3,4},{7}} generating graphics... => 9
{{1,4,7},{2},{3,6},{5}} generating graphics... => 7
{{1,4,6},{2},{3,7},{5}} generating graphics... => 7
{{1,4,7},{2},{3,5},{6}} generating graphics... => 8
{{1,4,6},{2},{3,5},{7}} generating graphics... => 9
{{1,4,5},{2},{3,7},{6}} generating graphics... => 8
{{1,4,5},{2},{3,6},{7}} generating graphics... => 9
{{1,3,7},{2},{4},{5,6}} generating graphics... => 8
{{1,3,6},{2},{4},{5,7}} generating graphics... => 8
{{1,3,5},{2},{4},{6,7}} generating graphics... => 9
{{1,3,7},{2},{4,6},{5}} generating graphics... => 8
{{1,3,6},{2},{4,7},{5}} generating graphics... => 8
{{1,3,7},{2},{4,5},{6}} generating graphics... => 9
{{1,3,6},{2},{4,5},{7}} generating graphics... => 10
{{1,3,5},{2},{4,7},{6}} generating graphics... => 9
{{1,3,5},{2},{4,6},{7}} generating graphics... => 10
{{1,3,4},{2},{5},{6,7}} generating graphics... => 10
{{1,3,4},{2},{5,7},{6}} generating graphics... => 10
{{1,3,4},{2},{5,6},{7}} generating graphics... => 11
{{1,6,7},{2,5},{3},{4}} generating graphics... => 6
{{1,5,7},{2,6},{3},{4}} generating graphics... => 6
{{1,5,6},{2,7},{3},{4}} generating graphics... => 6
{{1,6,7},{2,4},{3},{5}} generating graphics... => 7
{{1,5,7},{2,4},{3},{6}} generating graphics... => 8
{{1,5,6},{2,4},{3},{7}} generating graphics... => 9
{{1,4,7},{2,6},{3},{5}} generating graphics... => 7
{{1,4,6},{2,7},{3},{5}} generating graphics... => 7
{{1,4,7},{2,5},{3},{6}} generating graphics... => 8
{{1,4,6},{2,5},{3},{7}} generating graphics... => 9
{{1,4,5},{2,7},{3},{6}} generating graphics... => 8
{{1,4,5},{2,6},{3},{7}} generating graphics... => 9
{{1,6,7},{2,3},{4},{5}} generating graphics... => 8
{{1,5,7},{2,3},{4},{6}} generating graphics... => 9
{{1,5,6},{2,3},{4},{7}} generating graphics... => 10
{{1,4,7},{2,3},{5},{6}} generating graphics... => 10
{{1,4,6},{2,3},{5},{7}} generating graphics... => 11
{{1,4,5},{2,3},{6},{7}} generating graphics... => 12
{{1,3,7},{2,6},{4},{5}} generating graphics... => 8
{{1,3,6},{2,7},{4},{5}} generating graphics... => 8
{{1,3,7},{2,5},{4},{6}} generating graphics... => 9
{{1,3,6},{2,5},{4},{7}} generating graphics... => 10
{{1,3,5},{2,7},{4},{6}} generating graphics... => 9
{{1,3,5},{2,6},{4},{7}} generating graphics... => 10
{{1,3,7},{2,4},{5},{6}} generating graphics... => 10
{{1,3,6},{2,4},{5},{7}} generating graphics... => 11
{{1,3,5},{2,4},{6},{7}} generating graphics... => 12
{{1,3,4},{2,7},{5},{6}} generating graphics... => 10
{{1,3,4},{2,6},{5},{7}} generating graphics... => 11
{{1,3,4},{2,5},{6},{7}} generating graphics... => 12
{{1,2,7},{3},{4},{5,6}} generating graphics... => 9
{{1,2,6},{3},{4},{5,7}} generating graphics... => 9
{{1,2,5},{3},{4},{6,7}} generating graphics... => 10
{{1,2,7},{3},{4,6},{5}} generating graphics... => 9
{{1,2,6},{3},{4,7},{5}} generating graphics... => 9
{{1,2,7},{3},{4,5},{6}} generating graphics... => 10
{{1,2,6},{3},{4,5},{7}} generating graphics... => 11
{{1,2,5},{3},{4,7},{6}} generating graphics... => 10
{{1,2,5},{3},{4,6},{7}} generating graphics... => 11
{{1,2,4},{3},{5},{6,7}} generating graphics... => 11
{{1,2,4},{3},{5,7},{6}} generating graphics... => 11
{{1,2,4},{3},{5,6},{7}} generating graphics... => 12
{{1,2,7},{3,6},{4},{5}} generating graphics... => 9
{{1,2,6},{3,7},{4},{5}} generating graphics... => 9
{{1,2,7},{3,5},{4},{6}} generating graphics... => 10
{{1,2,6},{3,5},{4},{7}} generating graphics... => 11
{{1,2,5},{3,7},{4},{6}} generating graphics... => 10
{{1,2,5},{3,6},{4},{7}} generating graphics... => 11
{{1,2,7},{3,4},{5},{6}} generating graphics... => 11
{{1,2,6},{3,4},{5},{7}} generating graphics... => 12
{{1,2,5},{3,4},{6},{7}} generating graphics... => 13
{{1,2,4},{3,7},{5},{6}} generating graphics... => 11
{{1,2,4},{3,6},{5},{7}} generating graphics... => 12
{{1,2,4},{3,5},{6},{7}} generating graphics... => 13
{{1,2,3},{4},{5},{6,7}} generating graphics... => 12
{{1,2,3},{4},{5,7},{6}} generating graphics... => 12
{{1,2,3},{4},{5,6},{7}} generating graphics... => 13
{{1,2,3},{4,7},{5},{6}} generating graphics... => 12
{{1,2,3},{4,6},{5},{7}} generating graphics... => 13
{{1,2,3},{4,5},{6},{7}} generating graphics... => 14
{{1},{2},{3},{4},{5,6,7}} generating graphics... => 10
{{1},{2},{3},{4,6,7},{5}} generating graphics... => 10
{{1},{2},{3},{4,5,7},{6}} generating graphics... => 11
{{1},{2},{3},{4,5,6},{7}} generating graphics... => 12
{{1},{2},{3,6,7},{4},{5}} generating graphics... => 10
{{1},{2},{3,5,7},{4},{6}} generating graphics... => 11
{{1},{2},{3,5,6},{4},{7}} generating graphics... => 12
{{1},{2},{3,4,7},{5},{6}} generating graphics... => 12
{{1},{2},{3,4,6},{5},{7}} generating graphics... => 13
{{1},{2},{3,4,5},{6},{7}} generating graphics... => 14
{{1},{2,6,7},{3},{4},{5}} generating graphics... => 10
{{1},{2,5,7},{3},{4},{6}} generating graphics... => 11
{{1},{2,5,6},{3},{4},{7}} generating graphics... => 12
{{1},{2,4,7},{3},{5},{6}} generating graphics... => 12
{{1},{2,4,6},{3},{5},{7}} generating graphics... => 13
{{1},{2,4,5},{3},{6},{7}} generating graphics... => 14
{{1},{2,3,7},{4},{5},{6}} generating graphics... => 13
{{1},{2,3,6},{4},{5},{7}} generating graphics... => 14
{{1},{2,3,5},{4},{6},{7}} generating graphics... => 15
{{1},{2,3,4},{5},{6},{7}} generating graphics... => 16
{{1,6,7},{2},{3},{4},{5}} generating graphics... => 10
{{1,5,7},{2},{3},{4},{6}} generating graphics... => 11
{{1,5,6},{2},{3},{4},{7}} generating graphics... => 12
{{1,4,7},{2},{3},{5},{6}} generating graphics... => 12
{{1,4,6},{2},{3},{5},{7}} generating graphics... => 13
{{1,4,5},{2},{3},{6},{7}} generating graphics... => 14
{{1,3,7},{2},{4},{5},{6}} generating graphics... => 13
{{1,3,6},{2},{4},{5},{7}} generating graphics... => 14
{{1,3,5},{2},{4},{6},{7}} generating graphics... => 15
{{1,3,4},{2},{5},{6},{7}} generating graphics... => 16
{{1,2,7},{3},{4},{5},{6}} generating graphics... => 14
{{1,2,6},{3},{4},{5},{7}} generating graphics... => 15
{{1,2,5},{3},{4},{6},{7}} generating graphics... => 16
{{1,2,4},{3},{5},{6},{7}} generating graphics... => 17
{{1,2,3},{4},{5},{6},{7}} generating graphics... => 18
{{1},{2,3},{4,5},{6,7}} generating graphics... => 9
{{1},{2,3},{4,6},{5,7}} generating graphics... => 8
{{1},{2,3},{4,7},{5,6}} generating graphics... => 8
{{1},{2,4},{3,5},{6,7}} generating graphics... => 8
{{1},{2,4},{3,6},{5,7}} generating graphics... => 7
{{1},{2,4},{3,7},{5,6}} generating graphics... => 7
{{1},{2,5},{3,4},{6,7}} generating graphics... => 8
{{1},{2,5},{3,6},{4,7}} generating graphics... => 6
{{1},{2,5},{3,7},{4,6}} generating graphics... => 6
{{1},{2,6},{3,4},{5,7}} generating graphics... => 7
{{1},{2,6},{3,5},{4,7}} generating graphics... => 6
{{1},{2,6},{3,7},{4,5}} generating graphics... => 6
{{1},{2,7},{3,4},{5,6}} generating graphics... => 7
{{1},{2,7},{3,5},{4,6}} generating graphics... => 6
{{1},{2,7},{3,6},{4,5}} generating graphics... => 6
{{1,3},{2},{4,5},{6,7}} generating graphics... => 9
{{1,3},{2},{4,6},{5,7}} generating graphics... => 8
{{1,3},{2},{4,7},{5,6}} generating graphics... => 8
{{1,4},{2},{3,5},{6,7}} generating graphics... => 8
{{1,4},{2},{3,6},{5,7}} generating graphics... => 7
{{1,4},{2},{3,7},{5,6}} generating graphics... => 7
{{1,5},{2},{3,4},{6,7}} generating graphics... => 8
{{1,5},{2},{3,6},{4,7}} generating graphics... => 6
{{1,5},{2},{3,7},{4,6}} generating graphics... => 6
{{1,6},{2},{3,4},{5,7}} generating graphics... => 7
{{1,6},{2},{3,5},{4,7}} generating graphics... => 6
{{1,6},{2},{3,7},{4,5}} generating graphics... => 6
{{1,7},{2},{3,4},{5,6}} generating graphics... => 7
{{1,7},{2},{3,5},{4,6}} generating graphics... => 6
{{1,7},{2},{3,6},{4,5}} generating graphics... => 6
{{1,2},{3},{4,5},{6,7}} generating graphics... => 10
{{1,2},{3},{4,6},{5,7}} generating graphics... => 9
{{1,2},{3},{4,7},{5,6}} generating graphics... => 9
{{1,4},{2,5},{3},{6,7}} generating graphics... => 8
{{1,4},{2,6},{3},{5,7}} generating graphics... => 7
{{1,4},{2,7},{3},{5,6}} generating graphics... => 7
{{1,5},{2,4},{3},{6,7}} generating graphics... => 8
{{1,5},{2,6},{3},{4,7}} generating graphics... => 6
{{1,5},{2,7},{3},{4,6}} generating graphics... => 6
{{1,6},{2,4},{3},{5,7}} generating graphics... => 7
{{1,6},{2,5},{3},{4,7}} generating graphics... => 6
{{1,6},{2,7},{3},{4,5}} generating graphics... => 6
{{1,7},{2,4},{3},{5,6}} generating graphics... => 7
{{1,7},{2,5},{3},{4,6}} generating graphics... => 6
{{1,7},{2,6},{3},{4,5}} generating graphics... => 6
{{1,2},{3,5},{4},{6,7}} generating graphics... => 10
{{1,2},{3,6},{4},{5,7}} generating graphics... => 9
{{1,2},{3,7},{4},{5,6}} generating graphics... => 9
{{1,3},{2,5},{4},{6,7}} generating graphics... => 9
{{1,3},{2,6},{4},{5,7}} generating graphics... => 8
{{1,3},{2,7},{4},{5,6}} generating graphics... => 8
{{1,5},{2,3},{4},{6,7}} generating graphics... => 9
{{1,5},{2,6},{3,7},{4}} generating graphics... => 6
{{1,5},{2,7},{3,6},{4}} generating graphics... => 6
{{1,6},{2,3},{4},{5,7}} generating graphics... => 8
{{1,6},{2,5},{3,7},{4}} generating graphics... => 6
{{1,6},{2,7},{3,5},{4}} generating graphics... => 6
{{1,7},{2,3},{4},{5,6}} generating graphics... => 8
{{1,7},{2,5},{3,6},{4}} generating graphics... => 6
{{1,7},{2,6},{3,5},{4}} generating graphics... => 6
{{1,2},{3,4},{5},{6,7}} generating graphics... => 11
{{1,2},{3,6},{4,7},{5}} generating graphics... => 9
{{1,2},{3,7},{4,6},{5}} generating graphics... => 9
{{1,3},{2,4},{5},{6,7}} generating graphics... => 10
{{1,3},{2,6},{4,7},{5}} generating graphics... => 8
{{1,3},{2,7},{4,6},{5}} generating graphics... => 8
{{1,4},{2,3},{5},{6,7}} generating graphics... => 10
{{1,4},{2,6},{3,7},{5}} generating graphics... => 7
{{1,4},{2,7},{3,6},{5}} generating graphics... => 7
{{1,6},{2,3},{4,7},{5}} generating graphics... => 8
{{1,6},{2,4},{3,7},{5}} generating graphics... => 7
{{1,6},{2,7},{3,4},{5}} generating graphics... => 7
{{1,7},{2,3},{4,6},{5}} generating graphics... => 8
{{1,7},{2,4},{3,6},{5}} generating graphics... => 7
{{1,7},{2,6},{3,4},{5}} generating graphics... => 7
{{1,2},{3,4},{5,7},{6}} generating graphics... => 11
{{1,2},{3,5},{4,7},{6}} generating graphics... => 10
{{1,2},{3,7},{4,5},{6}} generating graphics... => 10
{{1,3},{2,4},{5,7},{6}} generating graphics... => 10
{{1,3},{2,5},{4,7},{6}} generating graphics... => 9
{{1,3},{2,7},{4,5},{6}} generating graphics... => 9
{{1,4},{2,3},{5,7},{6}} generating graphics... => 10
{{1,4},{2,5},{3,7},{6}} generating graphics... => 8
{{1,4},{2,7},{3,5},{6}} generating graphics... => 8
{{1,5},{2,3},{4,7},{6}} generating graphics... => 9
{{1,5},{2,4},{3,7},{6}} generating graphics... => 8
{{1,5},{2,7},{3,4},{6}} generating graphics... => 8
{{1,7},{2,3},{4,5},{6}} generating graphics... => 9
{{1,7},{2,4},{3,5},{6}} generating graphics... => 8
{{1,7},{2,5},{3,4},{6}} generating graphics... => 8
{{1,2},{3,4},{5,6},{7}} generating graphics... => 12
{{1,2},{3,5},{4,6},{7}} generating graphics... => 11
{{1,2},{3,6},{4,5},{7}} generating graphics... => 11
{{1,3},{2,4},{5,6},{7}} generating graphics... => 11
{{1,3},{2,5},{4,6},{7}} generating graphics... => 10
{{1,3},{2,6},{4,5},{7}} generating graphics... => 10
{{1,4},{2,3},{5,6},{7}} generating graphics... => 11
{{1,4},{2,5},{3,6},{7}} generating graphics... => 9
{{1,4},{2,6},{3,5},{7}} generating graphics... => 9
{{1,5},{2,3},{4,6},{7}} generating graphics... => 10
{{1,5},{2,4},{3,6},{7}} generating graphics... => 9
{{1,5},{2,6},{3,4},{7}} generating graphics... => 9
{{1,6},{2,3},{4,5},{7}} generating graphics... => 10
{{1,6},{2,4},{3,5},{7}} generating graphics... => 9
{{1,6},{2,5},{3,4},{7}} generating graphics... => 9
{{1},{2},{3},{4,5},{6,7}} generating graphics... => 11
{{1},{2},{3},{4,6},{5,7}} generating graphics... => 10
{{1},{2},{3},{4,7},{5,6}} generating graphics... => 10
{{1},{2},{3,5},{4},{6,7}} generating graphics... => 11
{{1},{2},{3,6},{4},{5,7}} generating graphics... => 10
{{1},{2},{3,7},{4},{5,6}} generating graphics... => 10
{{1},{2},{3,4},{5},{6,7}} generating graphics... => 12
{{1},{2},{3,6},{4,7},{5}} generating graphics... => 10
{{1},{2},{3,7},{4,6},{5}} generating graphics... => 10
{{1},{2},{3,4},{5,7},{6}} generating graphics... => 12
{{1},{2},{3,5},{4,7},{6}} generating graphics... => 11
{{1},{2},{3,7},{4,5},{6}} generating graphics... => 11
{{1},{2},{3,4},{5,6},{7}} generating graphics... => 13
{{1},{2},{3,5},{4,6},{7}} generating graphics... => 12
{{1},{2},{3,6},{4,5},{7}} generating graphics... => 12
{{1},{2,5},{3},{4},{6,7}} generating graphics... => 11
{{1},{2,6},{3},{4},{5,7}} generating graphics... => 10
{{1},{2,7},{3},{4},{5,6}} generating graphics... => 10
{{1},{2,4},{3},{5},{6,7}} generating graphics... => 12
{{1},{2,6},{3},{4,7},{5}} generating graphics... => 10
{{1},{2,7},{3},{4,6},{5}} generating graphics... => 10
{{1},{2,4},{3},{5,7},{6}} generating graphics... => 12
{{1},{2,5},{3},{4,7},{6}} generating graphics... => 11
{{1},{2,7},{3},{4,5},{6}} generating graphics... => 11
{{1},{2,4},{3},{5,6},{7}} generating graphics... => 13
{{1},{2,5},{3},{4,6},{7}} generating graphics... => 12
{{1},{2,6},{3},{4,5},{7}} generating graphics... => 12
{{1},{2,3},{4},{5},{6,7}} generating graphics... => 13
{{1},{2,6},{3,7},{4},{5}} generating graphics... => 10
{{1},{2,7},{3,6},{4},{5}} generating graphics... => 10
{{1},{2,3},{4},{5,7},{6}} generating graphics... => 13
{{1},{2,5},{3,7},{4},{6}} generating graphics... => 11
{{1},{2,7},{3,5},{4},{6}} generating graphics... => 11
{{1},{2,3},{4},{5,6},{7}} generating graphics... => 14
{{1},{2,5},{3,6},{4},{7}} generating graphics... => 12
{{1},{2,6},{3,5},{4},{7}} generating graphics... => 12
{{1},{2,3},{4,7},{5},{6}} generating graphics... => 13
{{1},{2,4},{3,7},{5},{6}} generating graphics... => 12
{{1},{2,7},{3,4},{5},{6}} generating graphics... => 12
{{1},{2,3},{4,6},{5},{7}} generating graphics... => 14
{{1},{2,4},{3,6},{5},{7}} generating graphics... => 13
{{1},{2,6},{3,4},{5},{7}} generating graphics... => 13
{{1},{2,3},{4,5},{6},{7}} generating graphics... => 15
{{1},{2,4},{3,5},{6},{7}} generating graphics... => 14
{{1},{2,5},{3,4},{6},{7}} generating graphics... => 14
{{1,5},{2},{3},{4},{6,7}} generating graphics... => 11
{{1,6},{2},{3},{4},{5,7}} generating graphics... => 10
{{1,7},{2},{3},{4},{5,6}} generating graphics... => 10
{{1,4},{2},{3},{5},{6,7}} generating graphics... => 12
{{1,6},{2},{3},{4,7},{5}} generating graphics... => 10
{{1,7},{2},{3},{4,6},{5}} generating graphics... => 10
{{1,4},{2},{3},{5,7},{6}} generating graphics... => 12
{{1,5},{2},{3},{4,7},{6}} generating graphics... => 11
{{1,7},{2},{3},{4,5},{6}} generating graphics... => 11
{{1,4},{2},{3},{5,6},{7}} generating graphics... => 13
{{1,5},{2},{3},{4,6},{7}} generating graphics... => 12
{{1,6},{2},{3},{4,5},{7}} generating graphics... => 12
{{1,3},{2},{4},{5},{6,7}} generating graphics... => 13
{{1,6},{2},{3,7},{4},{5}} generating graphics... => 10
{{1,7},{2},{3,6},{4},{5}} generating graphics... => 10
{{1,3},{2},{4},{5,7},{6}} generating graphics... => 13
{{1,5},{2},{3,7},{4},{6}} generating graphics... => 11
{{1,7},{2},{3,5},{4},{6}} generating graphics... => 11
{{1,3},{2},{4},{5,6},{7}} generating graphics... => 14
{{1,5},{2},{3,6},{4},{7}} generating graphics... => 12
{{1,6},{2},{3,5},{4},{7}} generating graphics... => 12
{{1,3},{2},{4,7},{5},{6}} generating graphics... => 13
{{1,4},{2},{3,7},{5},{6}} generating graphics... => 12
{{1,7},{2},{3,4},{5},{6}} generating graphics... => 12
{{1,3},{2},{4,6},{5},{7}} generating graphics... => 14
{{1,4},{2},{3,6},{5},{7}} generating graphics... => 13
{{1,6},{2},{3,4},{5},{7}} generating graphics... => 13
{{1,3},{2},{4,5},{6},{7}} generating graphics... => 15
{{1,4},{2},{3,5},{6},{7}} generating graphics... => 14
{{1,5},{2},{3,4},{6},{7}} generating graphics... => 14
{{1,2},{3},{4},{5},{6,7}} generating graphics... => 14
{{1,6},{2,7},{3},{4},{5}} generating graphics... => 10
{{1,7},{2,6},{3},{4},{5}} generating graphics... => 10
{{1,2},{3},{4},{5,7},{6}} generating graphics... => 14
{{1,5},{2,7},{3},{4},{6}} generating graphics... => 11
{{1,7},{2,5},{3},{4},{6}} generating graphics... => 11
{{1,2},{3},{4},{5,6},{7}} generating graphics... => 15
{{1,5},{2,6},{3},{4},{7}} generating graphics... => 12
{{1,6},{2,5},{3},{4},{7}} generating graphics... => 12
{{1,2},{3},{4,7},{5},{6}} generating graphics... => 14
{{1,4},{2,7},{3},{5},{6}} generating graphics... => 12
{{1,7},{2,4},{3},{5},{6}} generating graphics... => 12
{{1,2},{3},{4,6},{5},{7}} generating graphics... => 15
{{1,4},{2,6},{3},{5},{7}} generating graphics... => 13
{{1,6},{2,4},{3},{5},{7}} generating graphics... => 13
{{1,2},{3},{4,5},{6},{7}} generating graphics... => 16
{{1,4},{2,5},{3},{6},{7}} generating graphics... => 14
{{1,5},{2,4},{3},{6},{7}} generating graphics... => 14
{{1,2},{3,7},{4},{5},{6}} generating graphics... => 14
{{1,3},{2,7},{4},{5},{6}} generating graphics... => 13
{{1,7},{2,3},{4},{5},{6}} generating graphics... => 13
{{1,2},{3,6},{4},{5},{7}} generating graphics... => 15
{{1,3},{2,6},{4},{5},{7}} generating graphics... => 14
{{1,6},{2,3},{4},{5},{7}} generating graphics... => 14
{{1,2},{3,5},{4},{6},{7}} generating graphics... => 16
{{1,3},{2,5},{4},{6},{7}} generating graphics... => 15
{{1,5},{2,3},{4},{6},{7}} generating graphics... => 15
{{1,2},{3,4},{5},{6},{7}} generating graphics... => 17
{{1,3},{2,4},{5},{6},{7}} generating graphics... => 16
{{1,4},{2,3},{5},{6},{7}} generating graphics... => 16
{{1},{2},{3},{4},{5},{6,7}} generating graphics... => 15
{{1},{2},{3},{4},{5,7},{6}} generating graphics... => 15
{{1},{2},{3},{4},{5,6},{7}} generating graphics... => 16
{{1},{2},{3},{4,7},{5},{6}} generating graphics... => 15
{{1},{2},{3},{4,6},{5},{7}} generating graphics... => 16
{{1},{2},{3},{4,5},{6},{7}} generating graphics... => 17
{{1},{2},{3,7},{4},{5},{6}} generating graphics... => 15
{{1},{2},{3,6},{4},{5},{7}} generating graphics... => 16
{{1},{2},{3,5},{4},{6},{7}} generating graphics... => 17
{{1},{2},{3,4},{5},{6},{7}} generating graphics... => 18
{{1},{2,7},{3},{4},{5},{6}} generating graphics... => 15
{{1},{2,6},{3},{4},{5},{7}} generating graphics... => 16
{{1},{2,5},{3},{4},{6},{7}} generating graphics... => 17
{{1},{2,4},{3},{5},{6},{7}} generating graphics... => 18
{{1},{2,3},{4},{5},{6},{7}} generating graphics... => 19
{{1,7},{2},{3},{4},{5},{6}} generating graphics... => 15
{{1,6},{2},{3},{4},{5},{7}} generating graphics... => 16
{{1,5},{2},{3},{4},{6},{7}} generating graphics... => 17
{{1,4},{2},{3},{5},{6},{7}} generating graphics... => 18
{{1,3},{2},{4},{5},{6},{7}} generating graphics... => 19
{{1,2},{3},{4},{5},{6},{7}} generating graphics... => 20
{{1},{2},{3},{4},{5},{6},{7}} generating graphics... => 21
{{1,2,3,4,5,6,7,8}} generating graphics... => 0
{{1},{2,3,4,5,6,7,8}} generating graphics... => 1
{{1,3,4,5,6,7,8},{2}} generating graphics... => 1
{{1,2,4,5,6,7,8},{3}} generating graphics... => 2
{{1,2,3,5,6,7,8},{4}} generating graphics... => 3
{{1,2,3,4,6,7,8},{5}} generating graphics... => 4
{{1,2,3,4,5,7,8},{6}} generating graphics... => 5
{{1,2,3,4,5,6,8},{7}} generating graphics... => 6
{{1,2,3,4,5,6,7},{8}} generating graphics... => 7
{{1,2},{3,4,5,6,7,8}} generating graphics... => 2
{{1,3},{2,4,5,6,7,8}} generating graphics... => 1
{{1,4},{2,3,5,6,7,8}} generating graphics... => 1
{{1,5},{2,3,4,6,7,8}} generating graphics... => 1
{{1,6},{2,3,4,5,7,8}} generating graphics... => 1
{{1,7},{2,3,4,5,6,8}} generating graphics... => 1
{{1,8},{2,3,4,5,6,7}} generating graphics... => 1
{{1,4,5,6,7,8},{2,3}} generating graphics... => 1
{{1,3,5,6,7,8},{2,4}} generating graphics... => 1
{{1,3,4,6,7,8},{2,5}} generating graphics... => 1
{{1,3,4,5,7,8},{2,6}} generating graphics... => 1
{{1,3,4,5,6,8},{2,7}} generating graphics... => 1
{{1,3,4,5,6,7},{2,8}} generating graphics... => 1
{{1,2,5,6,7,8},{3,4}} generating graphics... => 2
{{1,2,4,6,7,8},{3,5}} generating graphics... => 2
{{1,2,4,5,7,8},{3,6}} generating graphics... => 2
{{1,2,4,5,6,8},{3,7}} generating graphics... => 2
{{1,2,4,5,6,7},{3,8}} generating graphics... => 2
{{1,2,3,6,7,8},{4,5}} generating graphics... => 3
{{1,2,3,5,7,8},{4,6}} generating graphics... => 3
{{1,2,3,5,6,8},{4,7}} generating graphics... => 3
{{1,2,3,5,6,7},{4,8}} generating graphics... => 3
{{1,2,3,4,7,8},{5,6}} generating graphics... => 4
{{1,2,3,4,6,8},{5,7}} generating graphics... => 4
{{1,2,3,4,6,7},{5,8}} generating graphics... => 4
{{1,2,3,4,5,8},{6,7}} generating graphics... => 5
{{1,2,3,4,5,7},{6,8}} generating graphics... => 5
{{1,2,3,4,5,6},{7,8}} generating graphics... => 6
{{1},{2},{3,4,5,6,7,8}} generating graphics... => 3
{{1},{2,4,5,6,7,8},{3}} generating graphics... => 3
{{1},{2,3,5,6,7,8},{4}} generating graphics... => 4
{{1},{2,3,4,6,7,8},{5}} generating graphics... => 5
{{1},{2,3,4,5,7,8},{6}} generating graphics... => 6
{{1},{2,3,4,5,6,8},{7}} generating graphics... => 7
{{1},{2,3,4,5,6,7},{8}} generating graphics... => 8
{{1,4,5,6,7,8},{2},{3}} generating graphics... => 3
{{1,3,5,6,7,8},{2},{4}} generating graphics... => 4
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Description
The rob statistic of a set partition.
Let $S = B_1,\ldots,B_k$ be a set partition with ordered blocks $B_i$ and with $\operatorname{min} B_a < \operatorname{min} B_b$ for $a < b$.
According to [1, Definition 3], a rob (right-opener-bigger) of $S$ is given by a pair $i < j$ such that $j = \operatorname{min} B_b$ and $i \in B_a$ for $a < b$.
This is also the number of occurrences of the pattern {{1}, {2}}, such that 2 is the minimal element of a block.
References
[1] Steingrimsson, E. Statistics on ordered partitions of sets arXiv:math/0605670
Code
def statistic(S):
    S = sorted( sorted(B) for B in S )
    n = sum( len(B) for B in S )
    rob = 0
    for k in range(len(S)):
        j = S[k][0]
        for l in range(k):
            for i in S[l]:
                if i < j:
                    rob += 1
    return rob

def statistic_alt(pi):
    return len(pattern_occurrences(pi, [[1],[2]], [2], [], [], []))

def pattern_occurrences(pi, P, First, Last, Arcs, Consecutives):
    """We assume that pi is a SetPartition of {1,2,...,n} and P is a
    SetPartition of {1,2,...,k}.
    """
    occurrences = []
    pi = SetPartition(pi)
    P = SetPartition(P)

    openers = [min(B) for B in pi]
    closers = [max(B) for B in pi]
    pi_sorted = sorted([sorted(b) for b in pi])
    edges = [(a,b) for B in pi_sorted for (a,b) in zip(B, B[1:])]

    for s in Subsets(pi.base_set(), P.size()):
        s = sorted(s)
        pi_r = pi.restriction(s)
        if pi_r.standardization() != P:
            continue

        X = pi_r.base_set()

        if any(X[i-1] not in openers for i in First):
            continue

        if any(X[i-1] not in closers for i in Last):
            continue

        if any((X[i-1], X[j-1]) not in edges for (i,j) in Arcs):
            continue

        if any(abs(X[i-1]-X[j-1]) != 1 for (i,j) in Consecutives):
            continue

        occurrences += [s]
    return occurrences
Created
May 18, 2016 at 12:25 by Christian Stump
Updated
Aug 11, 2016 at 09:49 by Martin Rubey