Identifier
Identifier
Values
[[1,3,4,5,7,8,9],[2,6]] generating graphics... => 4
[[1,2,3,5,6,7,9],[4,8]] generating graphics... => 9
[[1,2,3,4,6,7,8],[5,9]] generating graphics... => 11
[[1,2,4,5,6,8,9],[3],[7]] generating graphics... => 8
[[1,2,3,5,6,7,9],[4],[8]] generating graphics... => 10
[[1,2,5,6,8,9],[3,4,7]] generating graphics... => 6
[[1,3,4,6,8,9],[2,5,7]] generating graphics... => 6
[[1,2,3,6,8,9],[4,5,7]] generating graphics... => 10
[[1,2,4,5,8,9],[3,6,7]] generating graphics... => 10
[[1,2,3,5,8,9],[4,6,7]] generating graphics... => 11
[[1,3,4,6,7,9],[2,5,8]] generating graphics... => 7
[[1,2,4,6,7,9],[3,5,8]] generating graphics... => 10
[[1,2,3,6,7,9],[4,5,8]] generating graphics... => 11
[[1,2]] generating graphics... => 0
[[1],[2]] generating graphics... => 1
[[1,2,3]] generating graphics... => 0
[[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
[[1,3,4],[2]] generating graphics... => 1
[[1,2,4],[3]] generating graphics... => 2
[[1,2,3],[4]] generating graphics... => 3
[[1,3],[2,4]] generating graphics... => 2
[[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
[[1,3,4,5],[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
[[1,3,5],[2,4]] generating graphics... => 2
[[1,2,5],[3,4]] generating graphics... => 4
[[1,3,4],[2,5]] generating graphics... => 3
[[1,2,4],[3,5]] generating graphics... => 5
[[1,2,3],[4,5]] generating graphics... => 6
[[1,4,5],[2],[3]] generating graphics... => 3
[[1,3,5],[2],[4]] generating graphics... => 4
[[1,2,5],[3],[4]] generating graphics... => 5
[[1,3,4],[2],[5]] generating graphics... => 5
[[1,2,4],[3],[5]] generating graphics... => 6
[[1,2,3],[4],[5]] generating graphics... => 7
[[1,4],[2,5],[3]] generating graphics... => 4
[[1,3],[2,5],[4]] generating graphics... => 5
[[1,2],[3,5],[4]] generating graphics... => 7
[[1,3],[2,4],[5]] generating graphics... => 6
[[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
[[1,3,4,5,6],[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
[[1,3,5,6],[2,4]] generating graphics... => 2
[[1,2,5,6],[3,4]] generating graphics... => 4
[[1,3,4,6],[2,5]] generating graphics... => 3
[[1,2,4,6],[3,5]] generating graphics... => 5
[[1,2,3,6],[4,5]] generating graphics... => 6
[[1,3,4,5],[2,6]] generating graphics... => 4
[[1,2,4,5],[3,6]] generating graphics... => 6
[[1,2,3,5],[4,6]] generating graphics... => 7
[[1,2,3,4],[5,6]] generating graphics... => 8
[[1,4,5,6],[2],[3]] generating graphics... => 3
[[1,3,5,6],[2],[4]] generating graphics... => 4
[[1,2,5,6],[3],[4]] generating graphics... => 5
[[1,3,4,6],[2],[5]] generating graphics... => 5
[[1,2,4,6],[3],[5]] generating graphics... => 6
[[1,2,3,6],[4],[5]] generating graphics... => 7
[[1,3,4,5],[2],[6]] generating graphics... => 6
[[1,2,4,5],[3],[6]] generating graphics... => 7
[[1,2,3,5],[4],[6]] generating graphics... => 8
[[1,2,3,4],[5],[6]] generating graphics... => 9
[[1,3,5],[2,4,6]] generating graphics... => 3
[[1,2,5],[3,4,6]] generating graphics... => 5
[[1,3,4],[2,5,6]] generating graphics... => 5
[[1,2,4],[3,5,6]] generating graphics... => 8
[[1,2,3],[4,5,6]] generating graphics... => 9
[[1,4,6],[2,5],[3]] generating graphics... => 4
[[1,3,6],[2,5],[4]] generating graphics... => 5
[[1,2,6],[3,5],[4]] generating graphics... => 7
[[1,3,6],[2,4],[5]] generating graphics... => 6
[[1,2,6],[3,4],[5]] generating graphics... => 8
[[1,4,5],[2,6],[3]] generating graphics... => 5
[[1,3,5],[2,6],[4]] generating graphics... => 6
[[1,2,5],[3,6],[4]] generating graphics... => 8
[[1,3,4],[2,6],[5]] generating graphics... => 7
[[1,2,4],[3,6],[5]] generating graphics... => 9
[[1,2,3],[4,6],[5]] generating graphics... => 10
[[1,3,5],[2,4],[6]] generating graphics... => 7
[[1,2,5],[3,4],[6]] generating graphics... => 9
[[1,3,4],[2,5],[6]] generating graphics... => 8
[[1,2,4],[3,5],[6]] generating graphics... => 10
[[1,2,3],[4,5],[6]] generating graphics... => 11
[[1,5,6],[2],[3],[4]] generating graphics... => 6
[[1,4,6],[2],[3],[5]] generating graphics... => 7
[[1,3,6],[2],[4],[5]] generating graphics... => 8
[[1,2,6],[3],[4],[5]] generating graphics... => 9
[[1,4,5],[2],[3],[6]] generating graphics... => 8
[[1,3,5],[2],[4],[6]] generating graphics... => 9
[[1,2,5],[3],[4],[6]] generating graphics... => 10
[[1,3,4],[2],[5],[6]] generating graphics... => 10
[[1,2,4],[3],[5],[6]] generating graphics... => 11
[[1,2,3],[4],[5],[6]] generating graphics... => 12
[[1,4],[2,5],[3,6]] generating graphics... => 6
[[1,3],[2,5],[4,6]] generating graphics... => 7
[[1,2],[3,5],[4,6]] generating graphics... => 10
[[1,3],[2,4],[5,6]] generating graphics... => 10
[[1,2],[3,4],[5,6]] generating graphics... => 12
[[1,5],[2,6],[3],[4]] generating graphics... => 7
[[1,4],[2,6],[3],[5]] generating graphics... => 8
[[1,3],[2,6],[4],[5]] generating graphics... => 9
[[1,2],[3,6],[4],[5]] generating graphics... => 11
[[1,4],[2,5],[3],[6]] generating graphics... => 9
[[1,3],[2,5],[4],[6]] generating graphics... => 10
[[1,2],[3,5],[4],[6]] generating graphics... => 12
[[1,3],[2,4],[5],[6]] generating graphics... => 11
[[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
[[1,3,4,5,6,7],[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
[[1,3,5,6,7],[2,4]] generating graphics... => 2
[[1,2,5,6,7],[3,4]] generating graphics... => 4
[[1,3,4,6,7],[2,5]] generating graphics... => 3
[[1,2,4,6,7],[3,5]] generating graphics... => 5
[[1,2,3,6,7],[4,5]] generating graphics... => 6
[[1,3,4,5,7],[2,6]] generating graphics... => 4
[[1,2,4,5,7],[3,6]] generating graphics... => 6
[[1,2,3,5,7],[4,6]] generating graphics... => 7
[[1,2,3,4,7],[5,6]] generating graphics... => 8
[[1,3,4,5,6],[2,7]] generating graphics... => 5
[[1,2,4,5,6],[3,7]] generating graphics... => 7
[[1,2,3,5,6],[4,7]] generating graphics... => 8
[[1,2,3,4,6],[5,7]] generating graphics... => 9
[[1,2,3,4,5],[6,7]] generating graphics... => 10
[[1,4,5,6,7],[2],[3]] generating graphics... => 3
[[1,3,5,6,7],[2],[4]] generating graphics... => 4
[[1,2,5,6,7],[3],[4]] generating graphics... => 5
[[1,3,4,6,7],[2],[5]] generating graphics... => 5
[[1,2,4,6,7],[3],[5]] generating graphics... => 6
[[1,2,3,6,7],[4],[5]] generating graphics... => 7
[[1,3,4,5,7],[2],[6]] generating graphics... => 6
[[1,2,4,5,7],[3],[6]] generating graphics... => 7
[[1,2,3,5,7],[4],[6]] generating graphics... => 8
[[1,2,3,4,7],[5],[6]] generating graphics... => 9
[[1,3,4,5,6],[2],[7]] generating graphics... => 7
[[1,2,4,5,6],[3],[7]] generating graphics... => 8
[[1,2,3,5,6],[4],[7]] generating graphics... => 9
[[1,2,3,4,6],[5],[7]] generating graphics... => 10
[[1,2,3,4,5],[6],[7]] generating graphics... => 11
[[1,3,5,7],[2,4,6]] generating graphics... => 3
[[1,2,5,7],[3,4,6]] generating graphics... => 5
[[1,3,4,7],[2,5,6]] generating graphics... => 5
[[1,2,4,7],[3,5,6]] generating graphics... => 8
[[1,2,3,7],[4,5,6]] generating graphics... => 9
[[1,3,5,6],[2,4,7]] generating graphics... => 4
[[1,2,5,6],[3,4,7]] generating graphics... => 6
[[1,3,4,6],[2,5,7]] generating graphics... => 6
[[1,2,4,6],[3,5,7]] generating graphics... => 9
[[1,2,3,6],[4,5,7]] generating graphics... => 10
[[1,3,4,5],[2,6,7]] generating graphics... => 7
[[1,2,4,5],[3,6,7]] generating graphics... => 10
[[1,2,3,5],[4,6,7]] generating graphics... => 11
[[1,2,3,4],[5,6,7]] generating graphics... => 12
[[1,4,6,7],[2,5],[3]] generating graphics... => 4
[[1,3,6,7],[2,5],[4]] generating graphics... => 5
[[1,2,6,7],[3,5],[4]] generating graphics... => 7
[[1,3,6,7],[2,4],[5]] generating graphics... => 6
[[1,2,6,7],[3,4],[5]] generating graphics... => 8
[[1,4,5,7],[2,6],[3]] generating graphics... => 5
[[1,3,5,7],[2,6],[4]] generating graphics... => 6
[[1,2,5,7],[3,6],[4]] generating graphics... => 8
[[1,3,4,7],[2,6],[5]] generating graphics... => 7
[[1,2,4,7],[3,6],[5]] generating graphics... => 9
[[1,2,3,7],[4,6],[5]] generating graphics... => 10
[[1,3,5,7],[2,4],[6]] generating graphics... => 7
[[1,2,5,7],[3,4],[6]] generating graphics... => 9
[[1,3,4,7],[2,5],[6]] generating graphics... => 8
[[1,2,4,7],[3,5],[6]] generating graphics... => 10
[[1,2,3,7],[4,5],[6]] generating graphics... => 11
[[1,4,5,6],[2,7],[3]] generating graphics... => 6
[[1,3,5,6],[2,7],[4]] generating graphics... => 7
[[1,2,5,6],[3,7],[4]] generating graphics... => 9
[[1,3,4,6],[2,7],[5]] generating graphics... => 8
[[1,2,4,6],[3,7],[5]] generating graphics... => 10
[[1,2,3,6],[4,7],[5]] generating graphics... => 11
[[1,3,4,5],[2,7],[6]] generating graphics... => 9
[[1,2,4,5],[3,7],[6]] generating graphics... => 11
[[1,2,3,5],[4,7],[6]] generating graphics... => 12
[[1,2,3,4],[5,7],[6]] generating graphics... => 13
[[1,3,5,6],[2,4],[7]] generating graphics... => 8
[[1,2,5,6],[3,4],[7]] generating graphics... => 10
[[1,3,4,6],[2,5],[7]] generating graphics... => 9
[[1,2,4,6],[3,5],[7]] generating graphics... => 11
[[1,2,3,6],[4,5],[7]] generating graphics... => 12
[[1,3,4,5],[2,6],[7]] generating graphics... => 10
[[1,2,4,5],[3,6],[7]] generating graphics... => 12
[[1,2,3,5],[4,6],[7]] generating graphics... => 13
[[1,2,3,4],[5,6],[7]] generating graphics... => 14
[[1,5,6,7],[2],[3],[4]] generating graphics... => 6
[[1,4,6,7],[2],[3],[5]] generating graphics... => 7
[[1,3,6,7],[2],[4],[5]] generating graphics... => 8
[[1,2,6,7],[3],[4],[5]] generating graphics... => 9
[[1,4,5,7],[2],[3],[6]] generating graphics... => 8
[[1,3,5,7],[2],[4],[6]] generating graphics... => 9
[[1,2,5,7],[3],[4],[6]] generating graphics... => 10
[[1,3,4,7],[2],[5],[6]] generating graphics... => 10
[[1,2,4,7],[3],[5],[6]] generating graphics... => 11
[[1,2,3,7],[4],[5],[6]] generating graphics... => 12
[[1,4,5,6],[2],[3],[7]] generating graphics... => 9
[[1,3,5,6],[2],[4],[7]] generating graphics... => 10
[[1,2,5,6],[3],[4],[7]] generating graphics... => 11
[[1,3,4,6],[2],[5],[7]] generating graphics... => 11
[[1,2,4,6],[3],[5],[7]] generating graphics... => 12
[[1,2,3,6],[4],[5],[7]] generating graphics... => 13
[[1,3,4,5],[2],[6],[7]] generating graphics... => 12
[[1,2,4,5],[3],[6],[7]] generating graphics... => 13
[[1,2,3,5],[4],[6],[7]] generating graphics... => 14
[[1,2,3,4],[5],[6],[7]] generating graphics... => 15
[[1,4,6],[2,5,7],[3]] generating graphics... => 5
[[1,3,6],[2,5,7],[4]] generating graphics... => 6
[[1,2,6],[3,5,7],[4]] generating graphics... => 8
[[1,3,6],[2,4,7],[5]] generating graphics... => 7
[[1,2,6],[3,4,7],[5]] generating graphics... => 9
[[1,4,5],[2,6,7],[3]] generating graphics... => 7
[[1,3,5],[2,6,7],[4]] generating graphics... => 8
[[1,2,5],[3,6,7],[4]] generating graphics... => 11
[[1,3,4],[2,6,7],[5]] generating graphics... => 9
[[1,2,4],[3,6,7],[5]] generating graphics... => 12
[[1,2,3],[4,6,7],[5]] generating graphics... => 13
[[1,3,5],[2,4,7],[6]] generating graphics... => 8
[[1,2,5],[3,4,7],[6]] generating graphics... => 10
[[1,3,4],[2,5,7],[6]] generating graphics... => 10
[[1,2,4],[3,5,7],[6]] generating graphics... => 13
[[1,2,3],[4,5,7],[6]] generating graphics... => 14
[[1,3,5],[2,4,6],[7]] generating graphics... => 9
[[1,2,5],[3,4,6],[7]] generating graphics... => 11
[[1,3,4],[2,5,6],[7]] generating graphics... => 11
[[1,2,4],[3,5,6],[7]] generating graphics... => 14
[[1,2,3],[4,5,6],[7]] generating graphics... => 15
[[1,4,7],[2,5],[3,6]] generating graphics... => 6
[[1,3,7],[2,5],[4,6]] generating graphics... => 7
[[1,2,7],[3,5],[4,6]] generating graphics... => 10
[[1,3,7],[2,4],[5,6]] generating graphics... => 10
[[1,2,7],[3,4],[5,6]] generating graphics... => 12
[[1,4,6],[2,5],[3,7]] generating graphics... => 7
[[1,3,6],[2,5],[4,7]] generating graphics... => 8
[[1,2,6],[3,5],[4,7]] generating graphics... => 11
[[1,3,6],[2,4],[5,7]] generating graphics... => 11
[[1,2,6],[3,4],[5,7]] generating graphics... => 13
[[1,4,5],[2,6],[3,7]] generating graphics... => 8
[[1,3,5],[2,6],[4,7]] generating graphics... => 9
[[1,2,5],[3,6],[4,7]] generating graphics... => 12
[[1,3,4],[2,6],[5,7]] generating graphics... => 10
[[1,2,4],[3,6],[5,7]] generating graphics... => 13
[[1,2,3],[4,6],[5,7]] generating graphics... => 14
[[1,3,5],[2,4],[6,7]] generating graphics... => 12
[[1,2,5],[3,4],[6,7]] generating graphics... => 14
[[1,3,4],[2,5],[6,7]] generating graphics... => 13
[[1,2,4],[3,5],[6,7]] generating graphics... => 15
[[1,2,3],[4,5],[6,7]] generating graphics... => 16
[[1,5,7],[2,6],[3],[4]] generating graphics... => 7
[[1,4,7],[2,6],[3],[5]] generating graphics... => 8
[[1,3,7],[2,6],[4],[5]] generating graphics... => 9
[[1,2,7],[3,6],[4],[5]] generating graphics... => 11
[[1,4,7],[2,5],[3],[6]] generating graphics... => 9
[[1,3,7],[2,5],[4],[6]] generating graphics... => 10
[[1,2,7],[3,5],[4],[6]] generating graphics... => 12
[[1,3,7],[2,4],[5],[6]] generating graphics... => 11
[[1,2,7],[3,4],[5],[6]] generating graphics... => 13
[[1,5,6],[2,7],[3],[4]] generating graphics... => 8
[[1,4,6],[2,7],[3],[5]] generating graphics... => 9
[[1,3,6],[2,7],[4],[5]] generating graphics... => 10
[[1,2,6],[3,7],[4],[5]] generating graphics... => 12
[[1,4,5],[2,7],[3],[6]] generating graphics... => 10
[[1,3,5],[2,7],[4],[6]] generating graphics... => 11
[[1,2,5],[3,7],[4],[6]] generating graphics... => 13
[[1,3,4],[2,7],[5],[6]] generating graphics... => 12
[[1,2,4],[3,7],[5],[6]] generating graphics... => 14
[[1,2,3],[4,7],[5],[6]] generating graphics... => 15
[[1,4,6],[2,5],[3],[7]] generating graphics... => 10
[[1,3,6],[2,5],[4],[7]] generating graphics... => 11
[[1,2,6],[3,5],[4],[7]] generating graphics... => 13
[[1,3,6],[2,4],[5],[7]] generating graphics... => 12
[[1,2,6],[3,4],[5],[7]] generating graphics... => 14
[[1,4,5],[2,6],[3],[7]] generating graphics... => 11
[[1,3,5],[2,6],[4],[7]] generating graphics... => 12
[[1,2,5],[3,6],[4],[7]] generating graphics... => 14
[[1,3,4],[2,6],[5],[7]] generating graphics... => 13
[[1,2,4],[3,6],[5],[7]] generating graphics... => 15
[[1,2,3],[4,6],[5],[7]] generating graphics... => 16
[[1,3,5],[2,4],[6],[7]] generating graphics... => 13
[[1,2,5],[3,4],[6],[7]] generating graphics... => 15
[[1,3,4],[2,5],[6],[7]] generating graphics... => 14
[[1,2,4],[3,5],[6],[7]] generating graphics... => 16
[[1,2,3],[4,5],[6],[7]] generating graphics... => 17
[[1,6,7],[2],[3],[4],[5]] generating graphics... => 10
[[1,5,7],[2],[3],[4],[6]] generating graphics... => 11
[[1,4,7],[2],[3],[5],[6]] generating graphics... => 12
[[1,3,7],[2],[4],[5],[6]] generating graphics... => 13
[[1,2,7],[3],[4],[5],[6]] generating graphics... => 14
[[1,5,6],[2],[3],[4],[7]] generating graphics... => 12
[[1,4,6],[2],[3],[5],[7]] generating graphics... => 13
[[1,3,6],[2],[4],[5],[7]] generating graphics... => 14
[[1,2,6],[3],[4],[5],[7]] generating graphics... => 15
[[1,4,5],[2],[3],[6],[7]] generating graphics... => 14
[[1,3,5],[2],[4],[6],[7]] generating graphics... => 15
[[1,2,5],[3],[4],[6],[7]] generating graphics... => 16
[[1,3,4],[2],[5],[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
[[1,5],[2,6],[3,7],[4]] generating graphics... => 9
[[1,4],[2,6],[3,7],[5]] generating graphics... => 10
[[1,3],[2,6],[4,7],[5]] generating graphics... => 11
[[1,2],[3,6],[4,7],[5]] generating graphics... => 14
[[1,4],[2,5],[3,7],[6]] generating graphics... => 11
[[1,3],[2,5],[4,7],[6]] generating graphics... => 12
[[1,2],[3,5],[4,7],[6]] generating graphics... => 15
[[1,3],[2,4],[5,7],[6]] generating graphics... => 15
[[1,2],[3,4],[5,7],[6]] generating graphics... => 17
[[1,4],[2,5],[3,6],[7]] generating graphics... => 12
[[1,3],[2,5],[4,6],[7]] generating graphics... => 13
[[1,2],[3,5],[4,6],[7]] generating graphics... => 16
[[1,3],[2,4],[5,6],[7]] generating graphics... => 16
[[1,2],[3,4],[5,6],[7]] generating graphics... => 18
[[1,6],[2,7],[3],[4],[5]] generating graphics... => 11
[[1,5],[2,7],[3],[4],[6]] generating graphics... => 12
[[1,4],[2,7],[3],[5],[6]] generating graphics... => 13
[[1,3],[2,7],[4],[5],[6]] generating graphics... => 14
[[1,2],[3,7],[4],[5],[6]] generating graphics... => 16
[[1,5],[2,6],[3],[4],[7]] generating graphics... => 13
[[1,4],[2,6],[3],[5],[7]] generating graphics... => 14
[[1,3],[2,6],[4],[5],[7]] generating graphics... => 15
[[1,2],[3,6],[4],[5],[7]] generating graphics... => 17
[[1,4],[2,5],[3],[6],[7]] generating graphics... => 15
[[1,3],[2,5],[4],[6],[7]] generating graphics... => 16
[[1,2],[3,5],[4],[6],[7]] generating graphics... => 18
[[1,3],[2,4],[5],[6],[7]] generating graphics... => 17
[[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
[[1,3,4,5,6,7,8],[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
[[1,3,5,6,7,8],[2,4]] generating graphics... => 2
[[1,2,5,6,7,8],[3,4]] generating graphics... => 4
[[1,3,4,6,7,8],[2,5]] generating graphics... => 3
[[1,2,4,6,7,8],[3,5]] generating graphics... => 5
[[1,2,3,6,7,8],[4,5]] generating graphics... => 6
[[1,3,4,5,7,8],[2,6]] generating graphics... => 4
[[1,2,4,5,7,8],[3,6]] generating graphics... => 6
[[1,2,3,5,7,8],[4,6]] generating graphics... => 7
[[1,2,3,4,7,8],[5,6]] generating graphics... => 8
[[1,3,4,5,6,8],[2,7]] generating graphics... => 5
[[1,2,4,5,6,8],[3,7]] generating graphics... => 7
[[1,2,3,5,6,8],[4,7]] generating graphics... => 8
[[1,2,3,4,6,8],[5,7]] generating graphics... => 9
[[1,2,3,4,5,8],[6,7]] generating graphics... => 10
[[1,3,4,5,6,7],[2,8]] generating graphics... => 6
[[1,2,4,5,6,7],[3,8]] generating graphics... => 8
[[1,2,3,5,6,7],[4,8]] generating graphics... => 9
[[1,2,3,4,6,7],[5,8]] generating graphics... => 10
[[1,2,3,4,5,7],[6,8]] generating graphics... => 11
[[1,2,3,4,5,6],[7,8]] generating graphics... => 12
[[1,4,5,6,7,8],[2],[3]] generating graphics... => 3
[[1,3,5,6,7,8],[2],[4]] generating graphics... => 4
[[1,2,5,6,7,8],[3],[4]] generating graphics... => 5
[[1,3,4,6,7,8],[2],[5]] generating graphics... => 5
[[1,2,4,6,7,8],[3],[5]] generating graphics... => 6
[[1,2,3,6,7,8],[4],[5]] generating graphics... => 7
[[1,3,4,5,7,8],[2],[6]] generating graphics... => 6
[[1,2,4,5,7,8],[3],[6]] generating graphics... => 7
[[1,2,3,5,7,8],[4],[6]] generating graphics... => 8
[[1,2,3,4,7,8],[5],[6]] generating graphics... => 9
[[1,3,4,5,6,8],[2],[7]] generating graphics... => 7
[[1,2,4,5,6,8],[3],[7]] generating graphics... => 8
[[1,2,3,5,6,8],[4],[7]] generating graphics... => 9
[[1,2,3,4,6,8],[5],[7]] generating graphics... => 10
[[1,2,3,4,5,8],[6],[7]] generating graphics... => 11
[[1,3,4,5,6,7],[2],[8]] generating graphics... => 8
[[1,2,4,5,6,7],[3],[8]] generating graphics... => 9
[[1,2,3,5,6,7],[4],[8]] generating graphics... => 10
[[1,2,3,4,6,7],[5],[8]] generating graphics... => 11
[[1,2,3,4,5,7],[6],[8]] generating graphics... => 12
[[1,2,3,4,5,6],[7],[8]] generating graphics... => 13
[[1,3,5,7,8],[2,4,6]] generating graphics... => 3
[[1,2,5,7,8],[3,4,6]] generating graphics... => 5
[[1,3,4,7,8],[2,5,6]] generating graphics... => 5
[[1,2,4,7,8],[3,5,6]] generating graphics... => 8
[[1,2,3,7,8],[4,5,6]] generating graphics... => 9
[[1,3,5,6,8],[2,4,7]] generating graphics... => 4
[[1,2,5,6,8],[3,4,7]] generating graphics... => 6
[[1,3,4,6,8],[2,5,7]] generating graphics... => 6
[[1,2,4,6,8],[3,5,7]] generating graphics... => 9
[[1,2,3,6,8],[4,5,7]] generating graphics... => 10
[[1,3,4,5,8],[2,6,7]] generating graphics... => 7
[[1,2,4,5,8],[3,6,7]] generating graphics... => 10
[[1,2,3,5,8],[4,6,7]] generating graphics... => 11
[[1,2,3,4,8],[5,6,7]] generating graphics... => 12
[[1,3,5,6,7],[2,4,8]] generating graphics... => 5
[[1,2,5,6,7],[3,4,8]] generating graphics... => 7
[[1,3,4,6,7],[2,5,8]] generating graphics... => 7
[[1,2,4,6,7],[3,5,8]] generating graphics... => 10
[[1,2,3,6,7],[4,5,8]] generating graphics... => 11
[[1,3,4,5,7],[2,6,8]] generating graphics... => 8
[[1,2,4,5,7],[3,6,8]] generating graphics... => 11
[[1,2,3,5,7],[4,6,8]] generating graphics... => 12
[[1,2,3,4,7],[5,6,8]] generating graphics... => 13
[[1,3,4,5,6],[2,7,8]] generating graphics... => 9
[[1,2,4,5,6],[3,7,8]] generating graphics... => 12
[[1,2,3,5,6],[4,7,8]] generating graphics... => 13
[[1,2,3,4,6],[5,7,8]] generating graphics... => 14
[[1,2,3,4,5],[6,7,8]] generating graphics... => 15
[[1,4,6,7,8],[2,5],[3]] generating graphics... => 4
[[1,3,6,7,8],[2,5],[4]] generating graphics... => 5
[[1,2,6,7,8],[3,5],[4]] generating graphics... => 7
[[1,3,6,7,8],[2,4],[5]] generating graphics... => 6
[[1,2,6,7,8],[3,4],[5]] generating graphics... => 8
[[1,4,5,7,8],[2,6],[3]] generating graphics... => 5
[[1,3,5,7,8],[2,6],[4]] generating graphics... => 6
[[1,2,5,7,8],[3,6],[4]] generating graphics... => 8
[[1,3,4,7,8],[2,6],[5]] generating graphics... => 7
[[1,2,4,7,8],[3,6],[5]] generating graphics... => 9
[[1,2,3,7,8],[4,6],[5]] generating graphics... => 10
[[1,3,5,7,8],[2,4],[6]] generating graphics... => 7
[[1,2,5,7,8],[3,4],[6]] generating graphics... => 9
[[1,3,4,7,8],[2,5],[6]] generating graphics... => 8
[[1,2,4,7,8],[3,5],[6]] generating graphics... => 10
[[1,2,3,7,8],[4,5],[6]] generating graphics... => 11
[[1,4,5,6,8],[2,7],[3]] generating graphics... => 6
[[1,3,5,6,8],[2,7],[4]] generating graphics... => 7
[[1,2,5,6,8],[3,7],[4]] generating graphics... => 9
[[1,3,4,6,8],[2,7],[5]] generating graphics... => 8
[[1,2,4,6,8],[3,7],[5]] generating graphics... => 10
[[1,2,3,6,8],[4,7],[5]] generating graphics... => 11
[[1,3,4,5,8],[2,7],[6]] generating graphics... => 9
[[1,2,4,5,8],[3,7],[6]] generating graphics... => 11
[[1,2,3,5,8],[4,7],[6]] generating graphics... => 12
[[1,2,3,4,8],[5,7],[6]] generating graphics... => 13
[[1,3,5,6,8],[2,4],[7]] generating graphics... => 8
[[1,2,5,6,8],[3,4],[7]] generating graphics... => 10
[[1,3,4,6,8],[2,5],[7]] generating graphics... => 9
[[1,2,4,6,8],[3,5],[7]] generating graphics... => 11
[[1,2,3,6,8],[4,5],[7]] generating graphics... => 12
[[1,3,4,5,8],[2,6],[7]] generating graphics... => 10
[[1,2,4,5,8],[3,6],[7]] generating graphics... => 12
[[1,2,3,5,8],[4,6],[7]] generating graphics... => 13
[[1,2,3,4,8],[5,6],[7]] generating graphics... => 14
[[1,4,5,6,7],[2,8],[3]] generating graphics... => 7
[[1,3,5,6,7],[2,8],[4]] generating graphics... => 8
[[1,2,5,6,7],[3,8],[4]] generating graphics... => 10
[[1,3,4,6,7],[2,8],[5]] generating graphics... => 9
[[1,2,4,6,7],[3,8],[5]] generating graphics... => 11
[[1,2,3,6,7],[4,8],[5]] generating graphics... => 12
[[1,3,4,5,7],[2,8],[6]] generating graphics... => 10
[[1,2,4,5,7],[3,8],[6]] generating graphics... => 12
[[1,2,3,5,7],[4,8],[6]] generating graphics... => 13
[[1,2,3,4,7],[5,8],[6]] generating graphics... => 14
[[1,3,4,5,6],[2,8],[7]] generating graphics... => 11
[[1,2,4,5,6],[3,8],[7]] generating graphics... => 13
[[1,2,3,5,6],[4,8],[7]] generating graphics... => 14
[[1,2,3,4,6],[5,8],[7]] generating graphics... => 15
[[1,2,3,4,5],[6,8],[7]] generating graphics... => 16
[[1,3,5,6,7],[2,4],[8]] generating graphics... => 9
[[1,2,5,6,7],[3,4],[8]] generating graphics... => 11
[[1,3,4,6,7],[2,5],[8]] generating graphics... => 10
[[1,2,4,6,7],[3,5],[8]] generating graphics... => 12
[[1,2,3,6,7],[4,5],[8]] generating graphics... => 13
[[1,3,4,5,7],[2,6],[8]] generating graphics... => 11
[[1,2,4,5,7],[3,6],[8]] generating graphics... => 13
[[1,2,3,5,7],[4,6],[8]] generating graphics... => 14
[[1,2,3,4,7],[5,6],[8]] generating graphics... => 15
[[1,3,4,5,6],[2,7],[8]] generating graphics... => 12
[[1,2,4,5,6],[3,7],[8]] generating graphics... => 14
[[1,2,3,5,6],[4,7],[8]] generating graphics... => 15
[[1,2,3,4,6],[5,7],[8]] generating graphics... => 16
[[1,2,3,4,5],[6,7],[8]] generating graphics... => 17
[[1,5,6,7,8],[2],[3],[4]] generating graphics... => 6
[[1,4,6,7,8],[2],[3],[5]] generating graphics... => 7
[[1,3,6,7,8],[2],[4],[5]] generating graphics... => 8
[[1,2,6,7,8],[3],[4],[5]] generating graphics... => 9
[[1,4,5,7,8],[2],[3],[6]] generating graphics... => 8
[[1,3,5,7,8],[2],[4],[6]] generating graphics... => 9
[[1,2,5,7,8],[3],[4],[6]] generating graphics... => 10
[[1,3,4,7,8],[2],[5],[6]] generating graphics... => 10
[[1,2,4,7,8],[3],[5],[6]] generating graphics... => 11
[[1,2,3,7,8],[4],[5],[6]] generating graphics... => 12
[[1,4,5,6,8],[2],[3],[7]] generating graphics... => 9
[[1,3,5,6,8],[2],[4],[7]] generating graphics... => 10
[[1,2,5,6,8],[3],[4],[7]] generating graphics... => 11
[[1,3,4,6,8],[2],[5],[7]] generating graphics... => 11
[[1,2,4,6,8],[3],[5],[7]] generating graphics... => 12
[[1,2,3,6,8],[4],[5],[7]] generating graphics... => 13
[[1,3,4,5,8],[2],[6],[7]] generating graphics... => 12
[[1,2,4,5,8],[3],[6],[7]] generating graphics... => 13
[[1,2,3,5,8],[4],[6],[7]] generating graphics... => 14
[[1,2,3,4,8],[5],[6],[7]] generating graphics... => 15
[[1,4,5,6,7],[2],[3],[8]] generating graphics... => 10
[[1,3,5,6,7],[2],[4],[8]] generating graphics... => 11
[[1,2,5,6,7],[3],[4],[8]] generating graphics... => 12
[[1,3,4,6,7],[2],[5],[8]] generating graphics... => 12
[[1,2,4,6,7],[3],[5],[8]] generating graphics... => 13
[[1,2,3,6,7],[4],[5],[8]] generating graphics... => 14
[[1,3,4,5,7],[2],[6],[8]] generating graphics... => 13
[[1,2,4,5,7],[3],[6],[8]] generating graphics... => 14
[[1,2,3,5,7],[4],[6],[8]] generating graphics... => 15
[[1,2,3,4,7],[5],[6],[8]] generating graphics... => 16
[[1,3,4,5,6],[2],[7],[8]] generating graphics... => 14
[[1,2,4,5,6],[3],[7],[8]] generating graphics... => 15
[[1,2,3,5,6],[4],[7],[8]] generating graphics... => 16
[[1,2,3,4,6],[5],[7],[8]] generating graphics... => 17
[[1,2,3,4,5],[6],[7],[8]] generating graphics... => 18
[[1,3,5,7],[2,4,6,8]] generating graphics... => 4
[[1,2,5,7],[3,4,6,8]] generating graphics... => 6
[[1,3,4,7],[2,5,6,8]] generating graphics... => 6
[[1,2,4,7],[3,5,6,8]] generating graphics... => 9
[[1,2,3,7],[4,5,6,8]] generating graphics... => 10
[[1,3,5,6],[2,4,7,8]] generating graphics... => 6
[[1,2,5,6],[3,4,7,8]] generating graphics... => 8
[[1,3,4,6],[2,5,7,8]] generating graphics... => 9
[[1,2,4,6],[3,5,7,8]] generating graphics... => 13
[[1,2,3,6],[4,5,7,8]] generating graphics... => 14
[[1,3,4,5],[2,6,7,8]] generating graphics... => 10
[[1,2,4,5],[3,6,7,8]] generating graphics... => 14
[[1,2,3,5],[4,6,7,8]] generating graphics... => 15
[[1,2,3,4],[5,6,7,8]] generating graphics... => 16
[[1,4,6,8],[2,5,7],[3]] generating graphics... => 5
[[1,3,6,8],[2,5,7],[4]] generating graphics... => 6
[[1,2,6,8],[3,5,7],[4]] generating graphics... => 8
[[1,3,6,8],[2,4,7],[5]] generating graphics... => 7
[[1,2,6,8],[3,4,7],[5]] generating graphics... => 9
[[1,4,5,8],[2,6,7],[3]] generating graphics... => 7
[[1,3,5,8],[2,6,7],[4]] generating graphics... => 8
[[1,2,5,8],[3,6,7],[4]] generating graphics... => 11
[[1,3,4,8],[2,6,7],[5]] generating graphics... => 9
[[1,2,4,8],[3,6,7],[5]] generating graphics... => 12
[[1,2,3,8],[4,6,7],[5]] generating graphics... => 13
[[1,3,5,8],[2,4,7],[6]] generating graphics... => 8
[[1,2,5,8],[3,4,7],[6]] generating graphics... => 10
[[1,3,4,8],[2,5,7],[6]] generating graphics... => 10
[[1,2,4,8],[3,5,7],[6]] generating graphics... => 13
[[1,2,3,8],[4,5,7],[6]] generating graphics... => 14
[[1,3,5,8],[2,4,6],[7]] generating graphics... => 9
[[1,2,5,8],[3,4,6],[7]] generating graphics... => 11
[[1,3,4,8],[2,5,6],[7]] generating graphics... => 11
[[1,2,4,8],[3,5,6],[7]] generating graphics... => 14
[[1,2,3,8],[4,5,6],[7]] generating graphics... => 15
[[1,4,6,7],[2,5,8],[3]] generating graphics... => 6
[[1,3,6,7],[2,5,8],[4]] generating graphics... => 7
[[1,2,6,7],[3,5,8],[4]] generating graphics... => 9
[[1,3,6,7],[2,4,8],[5]] generating graphics... => 8
[[1,2,6,7],[3,4,8],[5]] generating graphics... => 10
[[1,4,5,7],[2,6,8],[3]] generating graphics... => 8
[[1,3,5,7],[2,6,8],[4]] generating graphics... => 9
[[1,2,5,7],[3,6,8],[4]] generating graphics... => 12
[[1,3,4,7],[2,6,8],[5]] generating graphics... => 10
[[1,2,4,7],[3,6,8],[5]] generating graphics... => 13
[[1,2,3,7],[4,6,8],[5]] generating graphics... => 14
[[1,3,5,7],[2,4,8],[6]] generating graphics... => 9
[[1,2,5,7],[3,4,8],[6]] generating graphics... => 11
[[1,3,4,7],[2,5,8],[6]] generating graphics... => 11
[[1,2,4,7],[3,5,8],[6]] generating graphics... => 14
[[1,2,3,7],[4,5,8],[6]] generating graphics... => 15
[[1,4,5,6],[2,7,8],[3]] generating graphics... => 9
[[1,3,5,6],[2,7,8],[4]] generating graphics... => 10
[[1,2,5,6],[3,7,8],[4]] generating graphics... => 13
[[1,3,4,6],[2,7,8],[5]] generating graphics... => 11
[[1,2,4,6],[3,7,8],[5]] generating graphics... => 14
[[1,2,3,6],[4,7,8],[5]] generating graphics... => 15
[[1,3,4,5],[2,7,8],[6]] generating graphics... => 12
[[1,2,4,5],[3,7,8],[6]] generating graphics... => 15
[[1,2,3,5],[4,7,8],[6]] generating graphics... => 16
[[1,2,3,4],[5,7,8],[6]] generating graphics... => 17
[[1,3,5,6],[2,4,8],[7]] generating graphics... => 10
[[1,2,5,6],[3,4,8],[7]] generating graphics... => 12
[[1,3,4,6],[2,5,8],[7]] generating graphics... => 12
[[1,2,4,6],[3,5,8],[7]] generating graphics... => 15
[[1,2,3,6],[4,5,8],[7]] generating graphics... => 16
[[1,3,4,5],[2,6,8],[7]] generating graphics... => 13
[[1,2,4,5],[3,6,8],[7]] generating graphics... => 16
[[1,2,3,5],[4,6,8],[7]] generating graphics... => 17
[[1,2,3,4],[5,6,8],[7]] generating graphics... => 18
[[1,3,5,7],[2,4,6],[8]] generating graphics... => 10
[[1,2,5,7],[3,4,6],[8]] generating graphics... => 12
[[1,3,4,7],[2,5,6],[8]] generating graphics... => 12
[[1,2,4,7],[3,5,6],[8]] generating graphics... => 15
[[1,2,3,7],[4,5,6],[8]] generating graphics... => 16
[[1,3,5,6],[2,4,7],[8]] generating graphics... => 11
[[1,2,5,6],[3,4,7],[8]] generating graphics... => 13
[[1,3,4,6],[2,5,7],[8]] generating graphics... => 13
[[1,2,4,6],[3,5,7],[8]] generating graphics... => 16
[[1,2,3,6],[4,5,7],[8]] generating graphics... => 17
[[1,3,4,5],[2,6,7],[8]] generating graphics... => 14
[[1,2,4,5],[3,6,7],[8]] generating graphics... => 17
[[1,2,3,5],[4,6,7],[8]] generating graphics... => 18
[[1,2,3,4],[5,6,7],[8]] generating graphics... => 19
[[1,4,7,8],[2,5],[3,6]] generating graphics... => 6
[[1,3,7,8],[2,5],[4,6]] generating graphics... => 7
[[1,2,7,8],[3,5],[4,6]] generating graphics... => 10
[[1,3,7,8],[2,4],[5,6]] generating graphics... => 10
[[1,2,7,8],[3,4],[5,6]] generating graphics... => 12
[[1,4,6,8],[2,5],[3,7]] generating graphics... => 7
[[1,3,6,8],[2,5],[4,7]] generating graphics... => 8
[[1,2,6,8],[3,5],[4,7]] generating graphics... => 11
[[1,3,6,8],[2,4],[5,7]] generating graphics... => 11
[[1,2,6,8],[3,4],[5,7]] generating graphics... => 13
[[1,4,5,8],[2,6],[3,7]] generating graphics... => 8
[[1,3,5,8],[2,6],[4,7]] generating graphics... => 9
[[1,2,5,8],[3,6],[4,7]] generating graphics... => 12
[[1,3,4,8],[2,6],[5,7]] generating graphics... => 10
[[1,2,4,8],[3,6],[5,7]] generating graphics... => 13
[[1,2,3,8],[4,6],[5,7]] generating graphics... => 14
[[1,3,5,8],[2,4],[6,7]] generating graphics... => 12
[[1,2,5,8],[3,4],[6,7]] generating graphics... => 14
[[1,3,4,8],[2,5],[6,7]] generating graphics... => 13
[[1,2,4,8],[3,5],[6,7]] generating graphics... => 15
[[1,2,3,8],[4,5],[6,7]] generating graphics... => 16
[[1,4,6,7],[2,5],[3,8]] generating graphics... => 8
[[1,3,6,7],[2,5],[4,8]] generating graphics... => 9
[[1,2,6,7],[3,5],[4,8]] generating graphics... => 12
[[1,3,6,7],[2,4],[5,8]] generating graphics... => 12
[[1,2,6,7],[3,4],[5,8]] generating graphics... => 14
[[1,4,5,7],[2,6],[3,8]] generating graphics... => 9
[[1,3,5,7],[2,6],[4,8]] generating graphics... => 10
[[1,2,5,7],[3,6],[4,8]] generating graphics... => 13
[[1,3,4,7],[2,6],[5,8]] generating graphics... => 11
[[1,2,4,7],[3,6],[5,8]] generating graphics... => 14
[[1,2,3,7],[4,6],[5,8]] generating graphics... => 15
[[1,3,5,7],[2,4],[6,8]] generating graphics... => 13
[[1,2,5,7],[3,4],[6,8]] generating graphics... => 15
[[1,3,4,7],[2,5],[6,8]] generating graphics... => 14
[[1,2,4,7],[3,5],[6,8]] generating graphics... => 16
[[1,2,3,7],[4,5],[6,8]] generating graphics... => 17
[[1,4,5,6],[2,7],[3,8]] generating graphics... => 10
[[1,3,5,6],[2,7],[4,8]] generating graphics... => 11
[[1,2,5,6],[3,7],[4,8]] generating graphics... => 14
[[1,3,4,6],[2,7],[5,8]] generating graphics... => 12
[[1,2,4,6],[3,7],[5,8]] generating graphics... => 15
[[1,2,3,6],[4,7],[5,8]] generating graphics... => 16
[[1,3,4,5],[2,7],[6,8]] generating graphics... => 13
[[1,2,4,5],[3,7],[6,8]] generating graphics... => 16
[[1,2,3,5],[4,7],[6,8]] generating graphics... => 17
[[1,2,3,4],[5,7],[6,8]] generating graphics... => 18
[[1,3,5,6],[2,4],[7,8]] generating graphics... => 14
[[1,2,5,6],[3,4],[7,8]] generating graphics... => 16
[[1,3,4,6],[2,5],[7,8]] generating graphics... => 15
[[1,2,4,6],[3,5],[7,8]] generating graphics... => 17
[[1,2,3,6],[4,5],[7,8]] generating graphics... => 18
[[1,3,4,5],[2,6],[7,8]] generating graphics... => 16
[[1,2,4,5],[3,6],[7,8]] generating graphics... => 18
[[1,2,3,5],[4,6],[7,8]] generating graphics... => 19
[[1,2,3,4],[5,6],[7,8]] generating graphics... => 20
[[1,5,7,8],[2,6],[3],[4]] generating graphics... => 7
[[1,4,7,8],[2,6],[3],[5]] generating graphics... => 8
[[1,3,7,8],[2,6],[4],[5]] generating graphics... => 9
[[1,2,7,8],[3,6],[4],[5]] generating graphics... => 11
[[1,4,7,8],[2,5],[3],[6]] generating graphics... => 9
[[1,3,7,8],[2,5],[4],[6]] generating graphics... => 10
[[1,2,7,8],[3,5],[4],[6]] generating graphics... => 12
[[1,3,7,8],[2,4],[5],[6]] generating graphics... => 11
[[1,2,7,8],[3,4],[5],[6]] generating graphics... => 13
[[1,5,6,8],[2,7],[3],[4]] generating graphics... => 8
[[1,4,6,8],[2,7],[3],[5]] generating graphics... => 9
[[1,3,6,8],[2,7],[4],[5]] generating graphics... => 10
[[1,2,6,8],[3,7],[4],[5]] generating graphics... => 12
[[1,4,5,8],[2,7],[3],[6]] generating graphics... => 10
[[1,3,5,8],[2,7],[4],[6]] generating graphics... => 11
[[1,2,5,8],[3,7],[4],[6]] generating graphics... => 13
[[1,3,4,8],[2,7],[5],[6]] generating graphics... => 12
[[1,2,4,8],[3,7],[5],[6]] generating graphics... => 14
[[1,2,3,8],[4,7],[5],[6]] generating graphics... => 15
[[1,4,6,8],[2,5],[3],[7]] generating graphics... => 10
[[1,3,6,8],[2,5],[4],[7]] generating graphics... => 11
[[1,2,6,8],[3,5],[4],[7]] generating graphics... => 13
[[1,3,6,8],[2,4],[5],[7]] generating graphics... => 12
[[1,2,6,8],[3,4],[5],[7]] generating graphics... => 14
[[1,4,5,8],[2,6],[3],[7]] generating graphics... => 11
[[1,3,5,8],[2,6],[4],[7]] generating graphics... => 12
[[1,2,5,8],[3,6],[4],[7]] generating graphics... => 14
[[1,3,4,8],[2,6],[5],[7]] generating graphics... => 13
[[1,2,4,8],[3,6],[5],[7]] generating graphics... => 15
[[1,2,3,8],[4,6],[5],[7]] generating graphics... => 16
[[1,3,5,8],[2,4],[6],[7]] generating graphics... => 13
[[1,2,5,8],[3,4],[6],[7]] generating graphics... => 15
[[1,3,4,8],[2,5],[6],[7]] generating graphics... => 14
[[1,2,4,8],[3,5],[6],[7]] generating graphics... => 16
[[1,2,3,8],[4,5],[6],[7]] generating graphics... => 17
[[1,5,6,7],[2,8],[3],[4]] generating graphics... => 9
[[1,4,6,7],[2,8],[3],[5]] generating graphics... => 10
[[1,3,6,7],[2,8],[4],[5]] generating graphics... => 11
[[1,2,6,7],[3,8],[4],[5]] generating graphics... => 13
[[1,4,5,7],[2,8],[3],[6]] generating graphics... => 11
[[1,3,5,7],[2,8],[4],[6]] generating graphics... => 12
[[1,2,5,7],[3,8],[4],[6]] generating graphics... => 14
[[1,3,4,7],[2,8],[5],[6]] generating graphics... => 13
[[1,2,4,7],[3,8],[5],[6]] generating graphics... => 15
[[1,2,3,7],[4,8],[5],[6]] generating graphics... => 16
[[1,4,5,6],[2,8],[3],[7]] generating graphics... => 12
[[1,3,5,6],[2,8],[4],[7]] generating graphics... => 13
[[1,2,5,6],[3,8],[4],[7]] generating graphics... => 15
[[1,3,4,6],[2,8],[5],[7]] generating graphics... => 14
[[1,2,4,6],[3,8],[5],[7]] generating graphics... => 16
[[1,2,3,6],[4,8],[5],[7]] generating graphics... => 17
[[1,3,4,5],[2,8],[6],[7]] generating graphics... => 15
[[1,2,4,5],[3,8],[6],[7]] generating graphics... => 17
[[1,2,3,5],[4,8],[6],[7]] generating graphics... => 18
[[1,2,3,4],[5,8],[6],[7]] generating graphics... => 19
[[1,4,6,7],[2,5],[3],[8]] generating graphics... => 11
[[1,3,6,7],[2,5],[4],[8]] generating graphics... => 12
[[1,2,6,7],[3,5],[4],[8]] generating graphics... => 14
[[1,3,6,7],[2,4],[5],[8]] generating graphics... => 13
[[1,2,6,7],[3,4],[5],[8]] generating graphics... => 15
[[1,4,5,7],[2,6],[3],[8]] generating graphics... => 12
[[1,3,5,7],[2,6],[4],[8]] generating graphics... => 13
[[1,2,5,7],[3,6],[4],[8]] generating graphics... => 15
[[1,3,4,7],[2,6],[5],[8]] generating graphics... => 14
[[1,2,4,7],[3,6],[5],[8]] generating graphics... => 16
[[1,2,3,7],[4,6],[5],[8]] generating graphics... => 17
[[1,3,5,7],[2,4],[6],[8]] generating graphics... => 14
[[1,2,5,7],[3,4],[6],[8]] generating graphics... => 16
[[1,3,4,7],[2,5],[6],[8]] generating graphics... => 15
[[1,2,4,7],[3,5],[6],[8]] generating graphics... => 17
[[1,2,3,7],[4,5],[6],[8]] generating graphics... => 18
[[1,4,5,6],[2,7],[3],[8]] generating graphics... => 13
[[1,3,5,6],[2,7],[4],[8]] generating graphics... => 14
[[1,2,5,6],[3,7],[4],[8]] generating graphics... => 16
[[1,3,4,6],[2,7],[5],[8]] generating graphics... => 15
[[1,2,4,6],[3,7],[5],[8]] generating graphics... => 17
[[1,2,3,6],[4,7],[5],[8]] generating graphics... => 18
[[1,3,4,5],[2,7],[6],[8]] generating graphics... => 16
[[1,2,4,5],[3,7],[6],[8]] generating graphics... => 18
[[1,2,3,5],[4,7],[6],[8]] generating graphics... => 19
[[1,2,3,4],[5,7],[6],[8]] generating graphics... => 20
[[1,3,5,6],[2,4],[7],[8]] generating graphics... => 15
[[1,2,5,6],[3,4],[7],[8]] generating graphics... => 17
[[1,3,4,6],[2,5],[7],[8]] generating graphics... => 16
[[1,2,4,6],[3,5],[7],[8]] generating graphics... => 18
[[1,2,3,6],[4,5],[7],[8]] generating graphics... => 19
[[1,3,4,5],[2,6],[7],[8]] generating graphics... => 17
[[1,2,4,5],[3,6],[7],[8]] generating graphics... => 19
[[1,2,3,5],[4,6],[7],[8]] generating graphics... => 20
[[1,2,3,4],[5,6],[7],[8]] generating graphics... => 21
[[1,6,7,8],[2],[3],[4],[5]] generating graphics... => 10
[[1,5,7,8],[2],[3],[4],[6]] generating graphics... => 11
[[1,4,7,8],[2],[3],[5],[6]] generating graphics... => 12
[[1,3,7,8],[2],[4],[5],[6]] generating graphics... => 13
[[1,2,7,8],[3],[4],[5],[6]] generating graphics... => 14
[[1,5,6,8],[2],[3],[4],[7]] generating graphics... => 12
[[1,4,6,8],[2],[3],[5],[7]] generating graphics... => 13
[[1,3,6,8],[2],[4],[5],[7]] generating graphics... => 14
[[1,2,6,8],[3],[4],[5],[7]] generating graphics... => 15
[[1,4,5,8],[2],[3],[6],[7]] generating graphics... => 14
[[1,3,5,8],[2],[4],[6],[7]] generating graphics... => 15
[[1,2,5,8],[3],[4],[6],[7]] generating graphics... => 16
[[1,3,4,8],[2],[5],[6],[7]] generating graphics... => 16
[[1,2,4,8],[3],[5],[6],[7]] generating graphics... => 17
[[1,2,3,8],[4],[5],[6],[7]] generating graphics... => 18
[[1,5,6,7],[2],[3],[4],[8]] generating graphics... => 13
[[1,4,6,7],[2],[3],[5],[8]] generating graphics... => 14
[[1,3,6,7],[2],[4],[5],[8]] generating graphics... => 15
[[1,2,6,7],[3],[4],[5],[8]] generating graphics... => 16
[[1,4,5,7],[2],[3],[6],[8]] generating graphics... => 15
[[1,3,5,7],[2],[4],[6],[8]] generating graphics... => 16
[[1,2,5,7],[3],[4],[6],[8]] generating graphics... => 17
[[1,3,4,7],[2],[5],[6],[8]] generating graphics... => 17
[[1,2,4,7],[3],[5],[6],[8]] generating graphics... => 18
[[1,2,3,7],[4],[5],[6],[8]] generating graphics... => 19
[[1,4,5,6],[2],[3],[7],[8]] generating graphics... => 16
[[1,3,5,6],[2],[4],[7],[8]] generating graphics... => 17
[[1,2,5,6],[3],[4],[7],[8]] generating graphics... => 18
[[1,3,4,6],[2],[5],[7],[8]] generating graphics... => 18
[[1,2,4,6],[3],[5],[7],[8]] generating graphics... => 19
[[1,2,3,6],[4],[5],[7],[8]] generating graphics... => 20
[[1,3,4,5],[2],[6],[7],[8]] generating graphics... => 19
[[1,2,4,5],[3],[6],[7],[8]] generating graphics... => 20
[[1,2,3,5],[4],[6],[7],[8]] generating graphics... => 21
[[1,2,3,4],[5],[6],[7],[8]] generating graphics... => 22
[[1,4,7],[2,5,8],[3,6]] generating graphics... => 7
[[1,3,7],[2,5,8],[4,6]] generating graphics... => 8
[[1,2,7],[3,5,8],[4,6]] generating graphics... => 11
[[1,3,7],[2,4,8],[5,6]] generating graphics... => 11
[[1,2,7],[3,4,8],[5,6]] generating graphics... => 13
[[1,4,6],[2,5,8],[3,7]] generating graphics... => 8
[[1,3,6],[2,5,8],[4,7]] generating graphics... => 9
[[1,2,6],[3,5,8],[4,7]] generating graphics... => 12
[[1,3,6],[2,4,8],[5,7]] generating graphics... => 12
[[1,2,6],[3,4,8],[5,7]] generating graphics... => 14
[[1,4,5],[2,6,8],[3,7]] generating graphics... => 10
[[1,3,5],[2,6,8],[4,7]] generating graphics... => 11
[[1,2,5],[3,6,8],[4,7]] generating graphics... => 15
[[1,3,4],[2,6,8],[5,7]] generating graphics... => 12
[[1,2,4],[3,6,8],[5,7]] generating graphics... => 16
[[1,2,3],[4,6,8],[5,7]] generating graphics... => 17
[[1,3,5],[2,4,8],[6,7]] generating graphics... => 13
[[1,2,5],[3,4,8],[6,7]] generating graphics... => 15
[[1,3,4],[2,5,8],[6,7]] generating graphics... => 15
[[1,2,4],[3,5,8],[6,7]] generating graphics... => 18
[[1,2,3],[4,5,8],[6,7]] generating graphics... => 19
[[1,4,6],[2,5,7],[3,8]] generating graphics... => 9
[[1,3,6],[2,5,7],[4,8]] generating graphics... => 10
[[1,2,6],[3,5,7],[4,8]] generating graphics... => 13
[[1,3,6],[2,4,7],[5,8]] generating graphics... => 13
[[1,2,6],[3,4,7],[5,8]] generating graphics... => 15
[[1,4,5],[2,6,7],[3,8]] generating graphics... => 11
[[1,3,5],[2,6,7],[4,8]] generating graphics... => 12
[[1,2,5],[3,6,7],[4,8]] generating graphics... => 16
[[1,3,4],[2,6,7],[5,8]] generating graphics... => 13
[[1,2,4],[3,6,7],[5,8]] generating graphics... => 17
[[1,2,3],[4,6,7],[5,8]] generating graphics... => 18
[[1,3,5],[2,4,7],[6,8]] generating graphics... => 14
[[1,2,5],[3,4,7],[6,8]] generating graphics... => 16
[[1,3,4],[2,5,7],[6,8]] generating graphics... => 16
[[1,2,4],[3,5,7],[6,8]] generating graphics... => 19
[[1,2,3],[4,5,7],[6,8]] generating graphics... => 20
[[1,3,5],[2,4,6],[7,8]] generating graphics... => 15
[[1,2,5],[3,4,6],[7,8]] generating graphics... => 17
[[1,3,4],[2,5,6],[7,8]] generating graphics... => 17
[[1,2,4],[3,5,6],[7,8]] generating graphics... => 20
[[1,2,3],[4,5,6],[7,8]] generating graphics... => 21
[[1,5,7],[2,6,8],[3],[4]] generating graphics... => 8
[[1,4,7],[2,6,8],[3],[5]] generating graphics... => 9
[[1,3,7],[2,6,8],[4],[5]] generating graphics... => 10
[[1,2,7],[3,6,8],[4],[5]] generating graphics... => 12
[[1,4,7],[2,5,8],[3],[6]] generating graphics... => 10
[[1,3,7],[2,5,8],[4],[6]] generating graphics... => 11
[[1,2,7],[3,5,8],[4],[6]] generating graphics... => 13
[[1,3,7],[2,4,8],[5],[6]] generating graphics... => 12
[[1,2,7],[3,4,8],[5],[6]] generating graphics... => 14
[[1,5,6],[2,7,8],[3],[4]] generating graphics... => 10
[[1,4,6],[2,7,8],[3],[5]] generating graphics... => 11
[[1,3,6],[2,7,8],[4],[5]] generating graphics... => 12
[[1,2,6],[3,7,8],[4],[5]] generating graphics... => 15
[[1,4,5],[2,7,8],[3],[6]] generating graphics... => 12
[[1,3,5],[2,7,8],[4],[6]] generating graphics... => 13
[[1,2,5],[3,7,8],[4],[6]] generating graphics... => 16
[[1,3,4],[2,7,8],[5],[6]] generating graphics... => 14
[[1,2,4],[3,7,8],[5],[6]] generating graphics... => 17
[[1,2,3],[4,7,8],[5],[6]] generating graphics... => 18
[[1,4,6],[2,5,8],[3],[7]] generating graphics... => 11
[[1,3,6],[2,5,8],[4],[7]] generating graphics... => 12
[[1,2,6],[3,5,8],[4],[7]] generating graphics... => 14
[[1,3,6],[2,4,8],[5],[7]] generating graphics... => 13
[[1,2,6],[3,4,8],[5],[7]] generating graphics... => 15
[[1,4,5],[2,6,8],[3],[7]] generating graphics... => 13
[[1,3,5],[2,6,8],[4],[7]] generating graphics... => 14
[[1,2,5],[3,6,8],[4],[7]] generating graphics... => 17
[[1,3,4],[2,6,8],[5],[7]] generating graphics... => 15
[[1,2,4],[3,6,8],[5],[7]] generating graphics... => 18
[[1,2,3],[4,6,8],[5],[7]] generating graphics... => 19
[[1,3,5],[2,4,8],[6],[7]] generating graphics... => 14
[[1,2,5],[3,4,8],[6],[7]] generating graphics... => 16
[[1,3,4],[2,5,8],[6],[7]] generating graphics... => 16
[[1,2,4],[3,5,8],[6],[7]] generating graphics... => 19
[[1,2,3],[4,5,8],[6],[7]] generating graphics... => 20
[[1,4,6],[2,5,7],[3],[8]] generating graphics... => 12
[[1,3,6],[2,5,7],[4],[8]] generating graphics... => 13
[[1,2,6],[3,5,7],[4],[8]] generating graphics... => 15
[[1,3,6],[2,4,7],[5],[8]] generating graphics... => 14
[[1,2,6],[3,4,7],[5],[8]] generating graphics... => 16
[[1,4,5],[2,6,7],[3],[8]] generating graphics... => 14
[[1,3,5],[2,6,7],[4],[8]] generating graphics... => 15
[[1,2,5],[3,6,7],[4],[8]] generating graphics... => 18
[[1,3,4],[2,6,7],[5],[8]] generating graphics... => 16
[[1,2,4],[3,6,7],[5],[8]] generating graphics... => 19
[[1,2,3],[4,6,7],[5],[8]] generating graphics... => 20
[[1,3,5],[2,4,7],[6],[8]] generating graphics... => 15
[[1,2,5],[3,4,7],[6],[8]] generating graphics... => 17
[[1,3,4],[2,5,7],[6],[8]] generating graphics... => 17
[[1,2,4],[3,5,7],[6],[8]] generating graphics... => 20
[[1,2,3],[4,5,7],[6],[8]] generating graphics... => 21
[[1,3,5],[2,4,6],[7],[8]] generating graphics... => 16
[[1,2,5],[3,4,6],[7],[8]] generating graphics... => 18
[[1,3,4],[2,5,6],[7],[8]] generating graphics... => 18
[[1,2,4],[3,5,6],[7],[8]] generating graphics... => 21
[[1,2,3],[4,5,6],[7],[8]] generating graphics... => 22
[[1,5,8],[2,6],[3,7],[4]] generating graphics... => 9
[[1,4,8],[2,6],[3,7],[5]] generating graphics... => 10
[[1,3,8],[2,6],[4,7],[5]] generating graphics... => 11
[[1,2,8],[3,6],[4,7],[5]] generating graphics... => 14
[[1,4,8],[2,5],[3,7],[6]] generating graphics... => 11
[[1,3,8],[2,5],[4,7],[6]] generating graphics... => 12
[[1,2,8],[3,5],[4,7],[6]] generating graphics... => 15
[[1,3,8],[2,4],[5,7],[6]] generating graphics... => 15
[[1,2,8],[3,4],[5,7],[6]] generating graphics... => 17
[[1,4,8],[2,5],[3,6],[7]] generating graphics... => 12
[[1,3,8],[2,5],[4,6],[7]] generating graphics... => 13
[[1,2,8],[3,5],[4,6],[7]] generating graphics... => 16
[[1,3,8],[2,4],[5,6],[7]] generating graphics... => 16
[[1,2,8],[3,4],[5,6],[7]] generating graphics... => 18
[[1,5,7],[2,6],[3,8],[4]] generating graphics... => 10
[[1,4,7],[2,6],[3,8],[5]] generating graphics... => 11
[[1,3,7],[2,6],[4,8],[5]] generating graphics... => 12
[[1,2,7],[3,6],[4,8],[5]] generating graphics... => 15
[[1,4,7],[2,5],[3,8],[6]] generating graphics... => 12
[[1,3,7],[2,5],[4,8],[6]] generating graphics... => 13
[[1,2,7],[3,5],[4,8],[6]] generating graphics... => 16
[[1,3,7],[2,4],[5,8],[6]] generating graphics... => 16
[[1,2,7],[3,4],[5,8],[6]] generating graphics... => 18
[[1,5,6],[2,7],[3,8],[4]] generating graphics... => 11
[[1,4,6],[2,7],[3,8],[5]] generating graphics... => 12
[[1,3,6],[2,7],[4,8],[5]] generating graphics... => 13
[[1,2,6],[3,7],[4,8],[5]] generating graphics... => 16
[[1,4,5],[2,7],[3,8],[6]] generating graphics... => 13
[[1,3,5],[2,7],[4,8],[6]] generating graphics... => 14
[[1,2,5],[3,7],[4,8],[6]] generating graphics... => 17
[[1,3,4],[2,7],[5,8],[6]] generating graphics... => 15
[[1,2,4],[3,7],[5,8],[6]] generating graphics... => 18
[[1,2,3],[4,7],[5,8],[6]] generating graphics... => 19
[[1,4,6],[2,5],[3,8],[7]] generating graphics... => 13
[[1,3,6],[2,5],[4,8],[7]] generating graphics... => 14
[[1,2,6],[3,5],[4,8],[7]] generating graphics... => 17
[[1,3,6],[2,4],[5,8],[7]] generating graphics... => 17
[[1,2,6],[3,4],[5,8],[7]] generating graphics... => 19
[[1,4,5],[2,6],[3,8],[7]] generating graphics... => 14
[[1,3,5],[2,6],[4,8],[7]] generating graphics... => 15
[[1,2,5],[3,6],[4,8],[7]] generating graphics... => 18
[[1,3,4],[2,6],[5,8],[7]] generating graphics... => 16
[[1,2,4],[3,6],[5,8],[7]] generating graphics... => 19
[[1,2,3],[4,6],[5,8],[7]] generating graphics... => 20
[[1,3,5],[2,4],[6,8],[7]] generating graphics... => 18
[[1,2,5],[3,4],[6,8],[7]] generating graphics... => 20
[[1,3,4],[2,5],[6,8],[7]] generating graphics... => 19
[[1,2,4],[3,5],[6,8],[7]] generating graphics... => 21
[[1,2,3],[4,5],[6,8],[7]] generating graphics... => 22
[[1,4,7],[2,5],[3,6],[8]] generating graphics... => 13
[[1,3,7],[2,5],[4,6],[8]] generating graphics... => 14
[[1,2,7],[3,5],[4,6],[8]] generating graphics... => 17
[[1,3,7],[2,4],[5,6],[8]] generating graphics... => 17
[[1,2,7],[3,4],[5,6],[8]] generating graphics... => 19
[[1,4,6],[2,5],[3,7],[8]] generating graphics... => 14
[[1,3,6],[2,5],[4,7],[8]] generating graphics... => 15
[[1,2,6],[3,5],[4,7],[8]] generating graphics... => 18
[[1,3,6],[2,4],[5,7],[8]] generating graphics... => 18
[[1,2,6],[3,4],[5,7],[8]] generating graphics... => 20
[[1,4,5],[2,6],[3,7],[8]] generating graphics... => 15
[[1,3,5],[2,6],[4,7],[8]] generating graphics... => 16
[[1,2,5],[3,6],[4,7],[8]] generating graphics... => 19
[[1,3,4],[2,6],[5,7],[8]] generating graphics... => 17
[[1,2,4],[3,6],[5,7],[8]] generating graphics... => 20
[[1,2,3],[4,6],[5,7],[8]] generating graphics... => 21
[[1,3,5],[2,4],[6,7],[8]] generating graphics... => 19
[[1,2,5],[3,4],[6,7],[8]] generating graphics... => 21
[[1,3,4],[2,5],[6,7],[8]] generating graphics... => 20
[[1,2,4],[3,5],[6,7],[8]] generating graphics... => 22
[[1,2,3],[4,5],[6,7],[8]] generating graphics... => 23
[[1,6,8],[2,7],[3],[4],[5]] generating graphics... => 11
[[1,5,8],[2,7],[3],[4],[6]] generating graphics... => 12
[[1,4,8],[2,7],[3],[5],[6]] generating graphics... => 13
[[1,3,8],[2,7],[4],[5],[6]] generating graphics... => 14
[[1,2,8],[3,7],[4],[5],[6]] generating graphics... => 16
[[1,5,8],[2,6],[3],[4],[7]] generating graphics... => 13
[[1,4,8],[2,6],[3],[5],[7]] generating graphics... => 14
[[1,3,8],[2,6],[4],[5],[7]] generating graphics... => 15
[[1,2,8],[3,6],[4],[5],[7]] generating graphics... => 17
[[1,4,8],[2,5],[3],[6],[7]] generating graphics... => 15
[[1,3,8],[2,5],[4],[6],[7]] generating graphics... => 16
[[1,2,8],[3,5],[4],[6],[7]] generating graphics... => 18
[[1,3,8],[2,4],[5],[6],[7]] generating graphics... => 17
[[1,2,8],[3,4],[5],[6],[7]] generating graphics... => 19
[[1,6,7],[2,8],[3],[4],[5]] generating graphics... => 12
[[1,5,7],[2,8],[3],[4],[6]] generating graphics... => 13
[[1,4,7],[2,8],[3],[5],[6]] generating graphics... => 14
[[1,3,7],[2,8],[4],[5],[6]] generating graphics... => 15
[[1,2,7],[3,8],[4],[5],[6]] generating graphics... => 17
[[1,5,6],[2,8],[3],[4],[7]] generating graphics... => 14
[[1,4,6],[2,8],[3],[5],[7]] generating graphics... => 15
[[1,3,6],[2,8],[4],[5],[7]] generating graphics... => 16
[[1,2,6],[3,8],[4],[5],[7]] generating graphics... => 18
[[1,4,5],[2,8],[3],[6],[7]] generating graphics... => 16
[[1,3,5],[2,8],[4],[6],[7]] generating graphics... => 17
[[1,2,5],[3,8],[4],[6],[7]] generating graphics... => 19
[[1,3,4],[2,8],[5],[6],[7]] generating graphics... => 18
[[1,2,4],[3,8],[5],[6],[7]] generating graphics... => 20
[[1,2,3],[4,8],[5],[6],[7]] generating graphics... => 21
[[1,5,7],[2,6],[3],[4],[8]] generating graphics... => 14
[[1,4,7],[2,6],[3],[5],[8]] generating graphics... => 15
[[1,3,7],[2,6],[4],[5],[8]] generating graphics... => 16
[[1,2,7],[3,6],[4],[5],[8]] generating graphics... => 18
[[1,4,7],[2,5],[3],[6],[8]] generating graphics... => 16
[[1,3,7],[2,5],[4],[6],[8]] generating graphics... => 17
[[1,2,7],[3,5],[4],[6],[8]] generating graphics... => 19
[[1,3,7],[2,4],[5],[6],[8]] generating graphics... => 18
[[1,2,7],[3,4],[5],[6],[8]] generating graphics... => 20
[[1,5,6],[2,7],[3],[4],[8]] generating graphics... => 15
[[1,4,6],[2,7],[3],[5],[8]] generating graphics... => 16
[[1,3,6],[2,7],[4],[5],[8]] generating graphics... => 17
[[1,2,6],[3,7],[4],[5],[8]] generating graphics... => 19
[[1,4,5],[2,7],[3],[6],[8]] generating graphics... => 17
[[1,3,5],[2,7],[4],[6],[8]] generating graphics... => 18
[[1,2,5],[3,7],[4],[6],[8]] generating graphics... => 20
[[1,3,4],[2,7],[5],[6],[8]] generating graphics... => 19
[[1,2,4],[3,7],[5],[6],[8]] generating graphics... => 21
[[1,2,3],[4,7],[5],[6],[8]] generating graphics... => 22
[[1,4,6],[2,5],[3],[7],[8]] generating graphics... => 17
[[1,3,6],[2,5],[4],[7],[8]] generating graphics... => 18
[[1,2,6],[3,5],[4],[7],[8]] generating graphics... => 20
[[1,3,6],[2,4],[5],[7],[8]] generating graphics... => 19
[[1,2,6],[3,4],[5],[7],[8]] generating graphics... => 21
[[1,4,5],[2,6],[3],[7],[8]] generating graphics... => 18
[[1,3,5],[2,6],[4],[7],[8]] generating graphics... => 19
[[1,2,5],[3,6],[4],[7],[8]] generating graphics... => 21
[[1,3,4],[2,6],[5],[7],[8]] generating graphics... => 20
[[1,2,4],[3,6],[5],[7],[8]] generating graphics... => 22
[[1,2,3],[4,6],[5],[7],[8]] generating graphics... => 23
[[1,3,5],[2,4],[6],[7],[8]] generating graphics... => 20
[[1,2,5],[3,4],[6],[7],[8]] generating graphics... => 22
[[1,3,4],[2,5],[6],[7],[8]] generating graphics... => 21
[[1,2,4],[3,5],[6],[7],[8]] generating graphics... => 23
[[1,2,3],[4,5],[6],[7],[8]] generating graphics... => 24
[[1,7,8],[2],[3],[4],[5],[6]] generating graphics... => 15
[[1,6,8],[2],[3],[4],[5],[7]] generating graphics... => 16
[[1,5,8],[2],[3],[4],[6],[7]] generating graphics... => 17
[[1,4,8],[2],[3],[5],[6],[7]] generating graphics... => 18
[[1,3,8],[2],[4],[5],[6],[7]] generating graphics... => 19
[[1,2,8],[3],[4],[5],[6],[7]] generating graphics... => 20
[[1,6,7],[2],[3],[4],[5],[8]] generating graphics... => 17
[[1,5,7],[2],[3],[4],[6],[8]] generating graphics... => 18
[[1,4,7],[2],[3],[5],[6],[8]] generating graphics... => 19
[[1,3,7],[2],[4],[5],[6],[8]] generating graphics... => 20
[[1,2,7],[3],[4],[5],[6],[8]] generating graphics... => 21
[[1,5,6],[2],[3],[4],[7],[8]] generating graphics... => 19
[[1,4,6],[2],[3],[5],[7],[8]] generating graphics... => 20
[[1,3,6],[2],[4],[5],[7],[8]] generating graphics... => 21
[[1,2,6],[3],[4],[5],[7],[8]] generating graphics... => 22
[[1,4,5],[2],[3],[6],[7],[8]] generating graphics... => 21
[[1,3,5],[2],[4],[6],[7],[8]] generating graphics... => 22
[[1,2,5],[3],[4],[6],[7],[8]] generating graphics... => 23
[[1,3,4],[2],[5],[6],[7],[8]] generating graphics... => 23
[[1,2,4],[3],[5],[6],[7],[8]] generating graphics... => 24
[[1,2,3],[4],[5],[6],[7],[8]] generating graphics... => 25
[[1,5],[2,6],[3,7],[4,8]] generating graphics... => 12
[[1,4],[2,6],[3,7],[5,8]] generating graphics... => 13
[[1,3],[2,6],[4,7],[5,8]] generating graphics... => 14
[[1,2],[3,6],[4,7],[5,8]] generating graphics... => 18
[[1,4],[2,5],[3,7],[6,8]] generating graphics... => 14
[[1,3],[2,5],[4,7],[6,8]] generating graphics... => 15
[[1,2],[3,5],[4,7],[6,8]] generating graphics... => 19
[[1,3],[2,4],[5,7],[6,8]] generating graphics... => 20
[[1,2],[3,4],[5,7],[6,8]] generating graphics... => 22
[[1,4],[2,5],[3,6],[7,8]] generating graphics... => 18
[[1,3],[2,5],[4,6],[7,8]] generating graphics... => 19
[[1,2],[3,5],[4,6],[7,8]] generating graphics... => 22
[[1,3],[2,4],[5,6],[7,8]] generating graphics... => 22
[[1,2],[3,4],[5,6],[7,8]] generating graphics... => 24
[[1,6],[2,7],[3,8],[4],[5]] generating graphics... => 13
[[1,5],[2,7],[3,8],[4],[6]] generating graphics... => 14
[[1,4],[2,7],[3,8],[5],[6]] generating graphics... => 15
[[1,3],[2,7],[4,8],[5],[6]] generating graphics... => 16
[[1,2],[3,7],[4,8],[5],[6]] generating graphics... => 19
[[1,5],[2,6],[3,8],[4],[7]] generating graphics... => 15
[[1,4],[2,6],[3,8],[5],[7]] generating graphics... => 16
[[1,3],[2,6],[4,8],[5],[7]] generating graphics... => 17
[[1,2],[3,6],[4,8],[5],[7]] generating graphics... => 20
[[1,4],[2,5],[3,8],[6],[7]] generating graphics... => 17
[[1,3],[2,5],[4,8],[6],[7]] generating graphics... => 18
[[1,2],[3,5],[4,8],[6],[7]] generating graphics... => 21
[[1,3],[2,4],[5,8],[6],[7]] generating graphics... => 21
[[1,2],[3,4],[5,8],[6],[7]] generating graphics... => 23
[[1,5],[2,6],[3,7],[4],[8]] generating graphics... => 16
[[1,4],[2,6],[3,7],[5],[8]] generating graphics... => 17
[[1,3],[2,6],[4,7],[5],[8]] generating graphics... => 18
[[1,2],[3,6],[4,7],[5],[8]] generating graphics... => 21
[[1,4],[2,5],[3,7],[6],[8]] generating graphics... => 18
[[1,3],[2,5],[4,7],[6],[8]] generating graphics... => 19
[[1,2],[3,5],[4,7],[6],[8]] generating graphics... => 22
[[1,3],[2,4],[5,7],[6],[8]] generating graphics... => 22
[[1,2],[3,4],[5,7],[6],[8]] generating graphics... => 24
[[1,4],[2,5],[3,6],[7],[8]] generating graphics... => 19
[[1,3],[2,5],[4,6],[7],[8]] generating graphics... => 20
[[1,2],[3,5],[4,6],[7],[8]] generating graphics... => 23
[[1,3],[2,4],[5,6],[7],[8]] generating graphics... => 23
[[1,2],[3,4],[5,6],[7],[8]] generating graphics... => 25
[[1,7],[2,8],[3],[4],[5],[6]] generating graphics... => 16
[[1,6],[2,8],[3],[4],[5],[7]] generating graphics... => 17
[[1,5],[2,8],[3],[4],[6],[7]] generating graphics... => 18
[[1,4],[2,8],[3],[5],[6],[7]] generating graphics... => 19
[[1,3],[2,8],[4],[5],[6],[7]] generating graphics... => 20
[[1,2],[3,8],[4],[5],[6],[7]] generating graphics... => 22
[[1,6],[2,7],[3],[4],[5],[8]] generating graphics... => 18
[[1,5],[2,7],[3],[4],[6],[8]] generating graphics... => 19
[[1,4],[2,7],[3],[5],[6],[8]] generating graphics... => 20
[[1,3],[2,7],[4],[5],[6],[8]] generating graphics... => 21
[[1,2],[3,7],[4],[5],[6],[8]] generating graphics... => 23
[[1,5],[2,6],[3],[4],[7],[8]] generating graphics... => 20
[[1,4],[2,6],[3],[5],[7],[8]] generating graphics... => 21
[[1,3],[2,6],[4],[5],[7],[8]] generating graphics... => 22
[[1,2],[3,6],[4],[5],[7],[8]] generating graphics... => 24
[[1,4],[2,5],[3],[6],[7],[8]] generating graphics... => 22
[[1,3],[2,5],[4],[6],[7],[8]] generating graphics... => 23
[[1,2],[3,5],[4],[6],[7],[8]] generating graphics... => 25
[[1,3],[2,4],[5],[6],[7],[8]] generating graphics... => 24
[[1,2],[3,4],[5],[6],[7],[8]] generating graphics... => 26
[[1,8],[2],[3],[4],[5],[6],[7]] generating graphics... => 21
[[1,7],[2],[3],[4],[5],[6],[8]] generating graphics... => 22
[[1,6],[2],[3],[4],[5],[7],[8]] generating graphics... => 23
[[1,5],[2],[3],[4],[6],[7],[8]] generating graphics... => 24
[[1,4],[2],[3],[5],[6],[7],[8]] generating graphics... => 25
[[1,3],[2],[4],[5],[6],[7],[8]] generating graphics... => 26
[[1,2],[3],[4],[5],[6],[7],[8]] generating graphics... => 27
[[1],[2],[3],[4],[5],[6],[7],[8]] generating graphics... => 28
[[1,2,3,4,5,6,7,8,9]] generating graphics... => 0
[[1,2,3,4,5,6,7,8],[9]] generating graphics... => 8
[[1,2,3,4,5,6,7],[8,9]] generating graphics... => 14
[[1,2,3,4,5,6,7],[8],[9]] generating graphics... => 15
[[1,3,4,5,6,7,8,9],[2]] generating graphics... => 1
[[1,2,5,6,7,8,9],[3,4]] generating graphics... => 4
[[1,4,5,6,7,8,9],[2],[3]] generating graphics... => 3
[[1,2,3,7,8,9],[4,5,6]] generating graphics... => 9
[[1,3,5,7,8,9],[2,4,6]] generating graphics... => 3
[[1,3,5,6,7,8,9],[2,4]] generating graphics... => 2
[[1,2,3,4,5,6,8],[7,9]] generating graphics... => 13
[[1,2,4,5,6,7,8,9],[3]] generating graphics... => 2
[[1,2,3,4,7,8,9],[5,6]] generating graphics... => 8
[[1,2,5,6,7,8,9],[3],[4]] generating graphics... => 5
[[1,2,3,4,5,6,7,9],[8]] generating graphics... => 7
[[1,3,4,5,6,7,8],[2,9]] generating graphics... => 7
[[1,2,3,4,5,6,8,9],[7]] generating graphics... => 6
[[1,3,4,5,6,7,8],[2],[9]] generating graphics... => 9
[[1,3,5,6,7,8,9],[2],[4]] generating graphics... => 4
[[1,2,4,5,6,7,8],[3],[9]] generating graphics... => 10
[[1,2,3,4,5,6,9],[7,8]] generating graphics... => 12
[[1,2,3,4,5,7,9],[6,8]] generating graphics... => 11
[[1,2,3,6,7,8,9],[4,5]] generating graphics... => 6
[[1,2,4,6,7,8,9],[3,5]] generating graphics... => 5
[[1,3,4,5,6,7,9],[2,8]] generating graphics... => 6
[[1,2,4,5,6,7,8],[3,9]] generating graphics... => 9
[[1,2,4,6,8,9],[3,5,7]] generating graphics... => 9
[[1,2,3,5,7,9],[4,6,8]] generating graphics... => 12
[[1,2,3,4,5,6,9],[7],[8]] generating graphics... => 13
[[1,2,3,4,5,8,9],[6,7]] generating graphics... => 10
[[1,2,3,6,7,8,9],[4],[5]] generating graphics... => 7
[[1,2,3,5,6,7,8,9],[4]] generating graphics... => 3
[[1,2,3,4,6,7,8],[5],[9]] generating graphics... => 12
[[1,3,4,5,7,8,9],[2],[6]] generating graphics... => 6
[[1,2,3,4,5,7,8],[6],[9]] generating graphics... => 13
[[1,3,4,5,6,8,9],[2],[7]] generating graphics... => 7
[[1,3,4,6,7,8,9],[2],[5]] generating graphics... => 5
[[1,2,3,5,6,7,8],[4],[9]] generating graphics... => 11
[[1,2,3,4,6,7,9],[5],[8]] generating graphics... => 11
[[1,2,4,5,7,8,9],[3],[6]] generating graphics... => 7
[[1,3,4,5,6,7,9],[2],[8]] generating graphics... => 8
[[1,2,3,4,5,6,8],[7],[9]] generating graphics... => 14
[[1,2,3,4,5,7,8],[6,9]] generating graphics... => 12
[[1,2,4,5,6,7,9],[3,8]] generating graphics... => 8
[[1,2,3,5,6,7,8],[4,9]] generating graphics... => 10
[[1,3,4,6,7,8,9],[2,5]] generating graphics... => 3
[[1,2,3,4,5,7,9],[6],[8]] generating graphics... => 12
[[1,2,4,5,6,7,9],[3],[8]] generating graphics... => 9
[[1,2,3,4,6,7,9],[5,8]] generating graphics... => 10
[[1,3,4,5,6,8,9],[2,7]] generating graphics... => 5
[[1,2,5,6,7,9],[3,4,8]] generating graphics... => 7
[[1,3,4,7,8,9],[2,5,6]] generating graphics... => 5
[[1,2,4,6,7,8,9],[3],[5]] generating graphics... => 6
[[1,2,3,5,7,8,9],[4,6]] generating graphics... => 7
[[1,2,4,7,8,9],[3,5,6]] generating graphics... => 8
[[1,2,3,4,6,8,9],[5,7]] generating graphics... => 9
[[1,3,4,5,7,9],[2,6,8]] generating graphics... => 8
[[1,2,4,5,7,9],[3,6,8]] generating graphics... => 11
[[1,3,5,6,7,9],[2,4,8]] generating graphics... => 5
[[1,2,3,4,5,8,9],[6],[7]] generating graphics... => 11
[[1,2,3,4,5,7,8,9],[6]] generating graphics... => 5
[[1,2,3,5,6,8,9],[4],[7]] generating graphics... => 9
[[1,2,3,4,6,7,8,9],[5]] generating graphics... => 4
[[1,3,4,5,8,9],[2,6,7]] generating graphics... => 7
[[1,2,4,5,7,8,9],[3,6]] generating graphics... => 6
[[1,3,5,6,8,9],[2,4,7]] generating graphics... => 4
[[1,2,3,4,7,8,9],[5],[6]] generating graphics... => 9
[[1,2,3,5,6,8,9],[4,7]] generating graphics... => 8
[[1,2,3,5,7,8,9],[4],[6]] generating graphics... => 8
[[1,2,5,7,8,9],[3,4,6]] generating graphics... => 5
[[1,2,3,4,8,9],[5,6,7]] generating graphics... => 12
[[1,2,3,4,6,8,9],[5],[7]] generating graphics... => 10
[[1,2,4,5,6,8,9],[3,7]] generating graphics... => 7
click to show generating function       
Description
The inversion number of a standard tableau as defined by Haglund and Stevens.
Their inversion number is the total number of inversion pairs for the tableau. An inversion pair is defined as a pair of cells (a,b), (x,y) such that the content of (x,y) is greater than the content of (a,b) and (x,y) is north of the inversion path of (a,b), where the inversion path is defined in detail in [1].
References
[1] Haglund, J., Stevens, L. An extension of the Foata map to standard Young tableaux MathSciNet:2264944
Code
def statistic(T):
    """
    sage: T = StandardTableau([[1,4],[2,5],[3]])
    sage: statistic(T)
    [(2, 1), (5, 4), (3, 1), (3, 2)]
    """
    def inversion_path(T, i, j):
        """Return the inversion path of the cell i, j, as a list of column
        indices.
    
        Given this list ``p``, cells below the path are those in
        ``T[k][l]`` with ``0<=k<len(p)`` and ``l >= p[k]``.
    
        EXAMPLES::
    
            sage: T = StandardTableau([[1,2,4,8],[3,7,11,12],[5,9,13,14],[6,10,15,16]])
            sage: inversion_path(T, 3, 3)
            [0, 2, 2]
        
            sage: T = StandardTableau([[1,2],[3,4]])
            sage: inversion_path(T, 1, 1)
            [0]
        
            sage: T = StandardTableau([[1,3],[2,4]])
            sage: inversion_path(T, 1, 1)
            [1]
    
        """
        columns = []
        while True:
            if j == 0:
                columns.extend([0]*i)
                return columns[::-1]
            elif i == 0:
                return columns[::-1]
    
            elif T[i-1][j] > T[i][j-1]:
                columns.append(j)
                i -= 1
    
            elif T[i-1][j] < T[i][j-1]:
                j -= 1

    I = []
    for i,j in T.cells():
        c = T[i][j]
        p = inversion_path(T, i, j)
        for row, col in enumerate(p):
            for d in T[row][col:]:
                if d < c:
                    I.append((c, d))
    return len(I)

Created
Apr 09, 2013 at 21:30 by Bryan D'Amico
Updated
Mar 31, 2019 at 21:21 by Martin Rubey