Identifier
Identifier
Values
[[1,2]] generating graphics... => 4
[[1],[2]] generating graphics... => 0
[[1,2,3]] generating graphics... => 9
[[1,3],[2]] generating graphics... => 0
[[1,2],[3]] generating graphics... => 4
[[1],[2],[3]] generating graphics... => 1
[[1,2,3,4]] generating graphics... => 16
[[1,3,4],[2]] generating graphics... => 0
[[1,2,4],[3]] generating graphics... => 6
[[1,2,3],[4]] generating graphics... => 10
[[1,3],[2,4]] generating graphics... => 0
[[1,2],[3,4]] generating graphics... => 4
[[1,4],[2],[3]] generating graphics... => 2
[[1,3],[2],[4]] generating graphics... => 0
[[1,2],[3],[4]] generating graphics... => 6
[[1],[2],[3],[4]] generating graphics... => 0
[[1,2,3,4,5]] generating graphics... => 25
[[1,3,4,5],[2]] generating graphics... => 0
[[1,2,4,5],[3]] generating graphics... => 8
[[1,2,3,5],[4]] generating graphics... => 14
[[1,2,3,4],[5]] generating graphics... => 18
[[1,3,5],[2,4]] generating graphics... => 0
[[1,2,5],[3,4]] generating graphics... => 5
[[1,3,4],[2,5]] generating graphics... => 0
[[1,2,4],[3,5]] generating graphics... => 7
[[1,2,3],[4,5]] generating graphics... => 11
[[1,4,5],[2],[3]] generating graphics... => 3
[[1,3,5],[2],[4]] generating graphics... => 0
[[1,2,5],[3],[4]] generating graphics... => 9
[[1,3,4],[2],[5]] generating graphics... => 0
[[1,2,4],[3],[5]] generating graphics... => 7
[[1,2,3],[4],[5]] generating graphics... => 13
[[1,4],[2,5],[3]] generating graphics... => 3
[[1,3],[2,5],[4]] generating graphics... => 0
[[1,2],[3,5],[4]] generating graphics... => 7
[[1,3],[2,4],[5]] generating graphics... => 0
[[1,2],[3,4],[5]] generating graphics... => 5
[[1,5],[2],[3],[4]] generating graphics... => 0
[[1,4],[2],[3],[5]] generating graphics... => 2
[[1,3],[2],[4],[5]] generating graphics... => 0
[[1,2],[3],[4],[5]] generating graphics... => 6
[[1],[2],[3],[4],[5]] generating graphics... => 1
[[1,2,3,4,5,6]] generating graphics... => 36
[[1,3,4,5,6],[2]] generating graphics... => 0
[[1,2,4,5,6],[3]] generating graphics... => 10
[[1,2,3,5,6],[4]] generating graphics... => 18
[[1,2,3,4,6],[5]] generating graphics... => 24
[[1,2,3,4,5],[6]] generating graphics... => 28
[[1,3,5,6],[2,4]] generating graphics... => 0
[[1,2,5,6],[3,4]] generating graphics... => 6
[[1,3,4,6],[2,5]] generating graphics... => 0
[[1,2,4,6],[3,5]] generating graphics... => 9
[[1,2,3,6],[4,5]] generating graphics... => 14
[[1,3,4,5],[2,6]] generating graphics... => 0
[[1,2,4,5],[3,6]] generating graphics... => 9
[[1,2,3,5],[4,6]] generating graphics... => 16
[[1,2,3,4],[5,6]] generating graphics... => 20
[[1,4,5,6],[2],[3]] generating graphics... => 4
[[1,3,5,6],[2],[4]] generating graphics... => 0
[[1,2,5,6],[3],[4]] generating graphics... => 12
[[1,3,4,6],[2],[5]] generating graphics... => 0
[[1,2,4,6],[3],[5]] generating graphics... => 9
[[1,2,3,6],[4],[5]] generating graphics... => 18
[[1,3,4,5],[2],[6]] generating graphics... => 0
[[1,2,4,5],[3],[6]] generating graphics... => 9
[[1,2,3,5],[4],[6]] generating graphics... => 16
[[1,2,3,4],[5],[6]] generating graphics... => 22
[[1,3,5],[2,4,6]] generating graphics... => 0
[[1,2,5],[3,4,6]] generating graphics... => 7
[[1,3,4],[2,5,6]] generating graphics... => 0
[[1,2,4],[3,5,6]] generating graphics... => 7
[[1,2,3],[4,5,6]] generating graphics... => 12
[[1,4,6],[2,5],[3]] generating graphics... => 4
[[1,3,6],[2,5],[4]] generating graphics... => 0
[[1,2,6],[3,5],[4]] generating graphics... => 9
[[1,3,6],[2,4],[5]] generating graphics... => 0
[[1,2,6],[3,4],[5]] generating graphics... => 6
[[1,4,5],[2,6],[3]] generating graphics... => 4
[[1,3,5],[2,6],[4]] generating graphics... => 0
[[1,2,5],[3,6],[4]] generating graphics... => 11
[[1,3,4],[2,6],[5]] generating graphics... => 0
[[1,2,4],[3,6],[5]] generating graphics... => 8
[[1,2,3],[4,6],[5]] generating graphics... => 15
[[1,3,5],[2,4],[6]] generating graphics... => 0
[[1,2,5],[3,4],[6]] generating graphics... => 6
[[1,3,4],[2,5],[6]] generating graphics... => 0
[[1,2,4],[3,5],[6]] generating graphics... => 8
[[1,2,3],[4,5],[6]] generating graphics... => 13
[[1,5,6],[2],[3],[4]] generating graphics... => 0
[[1,4,6],[2],[3],[5]] generating graphics... => 3
[[1,3,6],[2],[4],[5]] generating graphics... => 0
[[1,2,6],[3],[4],[5]] generating graphics... => 8
[[1,4,5],[2],[3],[6]] generating graphics... => 3
[[1,3,5],[2],[4],[6]] generating graphics... => 0
[[1,2,5],[3],[4],[6]] generating graphics... => 10
[[1,3,4],[2],[5],[6]] generating graphics... => 0
[[1,2,4],[3],[5],[6]] generating graphics... => 8
[[1,2,3],[4],[5],[6]] generating graphics... => 14
[[1,4],[2,5],[3,6]] generating graphics... => 5
[[1,3],[2,5],[4,6]] generating graphics... => 0
[[1,2],[3,5],[4,6]] generating graphics... => 8
[[1,3],[2,4],[5,6]] generating graphics... => 0
[[1,2],[3,4],[5,6]] generating graphics... => 5
[[1,5],[2,6],[3],[4]] generating graphics... => 0
[[1,4],[2,6],[3],[5]] generating graphics... => 3
[[1,3],[2,6],[4],[5]] generating graphics... => 0
[[1,2],[3,6],[4],[5]] generating graphics... => 6
[[1,4],[2,5],[3],[6]] generating graphics... => 3
[[1,3],[2,5],[4],[6]] generating graphics... => 0
[[1,2],[3,5],[4],[6]] generating graphics... => 8
[[1,3],[2,4],[5],[6]] generating graphics... => 0
[[1,2],[3,4],[5],[6]] generating graphics... => 6
[[1,6],[2],[3],[4],[5]] generating graphics... => 2
[[1,5],[2],[3],[4],[6]] generating graphics... => 0
[[1,4],[2],[3],[5],[6]] generating graphics... => 2
[[1,3],[2],[4],[5],[6]] generating graphics... => 0
[[1,2],[3],[4],[5],[6]] generating graphics... => 8
[[1],[2],[3],[4],[5],[6]] generating graphics... => 0
[[1,2,3,4,5,6,7]] generating graphics... => 49
[[1,3,4,5,6,7],[2]] generating graphics... => 0
[[1,2,4,5,6,7],[3]] generating graphics... => 12
[[1,2,3,5,6,7],[4]] generating graphics... => 22
[[1,2,3,4,6,7],[5]] generating graphics... => 30
[[1,2,3,4,5,7],[6]] generating graphics... => 36
[[1,2,3,4,5,6],[7]] generating graphics... => 40
[[1,3,5,6,7],[2,4]] generating graphics... => 0
[[1,2,5,6,7],[3,4]] generating graphics... => 7
[[1,3,4,6,7],[2,5]] generating graphics... => 0
[[1,2,4,6,7],[3,5]] generating graphics... => 11
[[1,2,3,6,7],[4,5]] generating graphics... => 17
[[1,3,4,5,7],[2,6]] generating graphics... => 0
[[1,2,4,5,7],[3,6]] generating graphics... => 11
[[1,2,3,5,7],[4,6]] generating graphics... => 20
[[1,2,3,4,7],[5,6]] generating graphics... => 25
[[1,3,4,5,6],[2,7]] generating graphics... => 0
[[1,2,4,5,6],[3,7]] generating graphics... => 11
[[1,2,3,5,6],[4,7]] generating graphics... => 20
[[1,2,3,4,6],[5,7]] generating graphics... => 27
[[1,2,3,4,5],[6,7]] generating graphics... => 31
[[1,4,5,6,7],[2],[3]] generating graphics... => 5
[[1,3,5,6,7],[2],[4]] generating graphics... => 0
[[1,2,5,6,7],[3],[4]] generating graphics... => 15
[[1,3,4,6,7],[2],[5]] generating graphics... => 0
[[1,2,4,6,7],[3],[5]] generating graphics... => 11
[[1,2,3,6,7],[4],[5]] generating graphics... => 23
[[1,3,4,5,7],[2],[6]] generating graphics... => 0
[[1,2,4,5,7],[3],[6]] generating graphics... => 11
[[1,2,3,5,7],[4],[6]] generating graphics... => 20
[[1,2,3,4,7],[5],[6]] generating graphics... => 29
[[1,3,4,5,6],[2],[7]] generating graphics... => 0
[[1,2,4,5,6],[3],[7]] generating graphics... => 11
[[1,2,3,5,6],[4],[7]] generating graphics... => 20
[[1,2,3,4,6],[5],[7]] generating graphics... => 27
[[1,2,3,4,5],[6],[7]] generating graphics... => 33
[[1,3,5,7],[2,4,6]] generating graphics... => 0
[[1,2,5,7],[3,4,6]] generating graphics... => 8
[[1,3,4,7],[2,5,6]] generating graphics... => 0
[[1,2,4,7],[3,5,6]] generating graphics... => 8
[[1,2,3,7],[4,5,6]] generating graphics... => 14
[[1,3,5,6],[2,4,7]] generating graphics... => 0
[[1,2,5,6],[3,4,7]] generating graphics... => 8
[[1,3,4,6],[2,5,7]] generating graphics... => 0
[[1,2,4,6],[3,5,7]] generating graphics... => 10
[[1,2,3,6],[4,5,7]] generating graphics... => 17
[[1,3,4,5],[2,6,7]] generating graphics... => 0
[[1,2,4,5],[3,6,7]] generating graphics... => 10
[[1,2,3,5],[4,6,7]] generating graphics... => 17
[[1,2,3,4],[5,6,7]] generating graphics... => 22
[[1,4,6,7],[2,5],[3]] generating graphics... => 5
[[1,3,6,7],[2,5],[4]] generating graphics... => 0
[[1,2,6,7],[3,5],[4]] generating graphics... => 11
[[1,3,6,7],[2,4],[5]] generating graphics... => 0
[[1,2,6,7],[3,4],[5]] generating graphics... => 7
[[1,4,5,7],[2,6],[3]] generating graphics... => 5
[[1,3,5,7],[2,6],[4]] generating graphics... => 0
[[1,2,5,7],[3,6],[4]] generating graphics... => 14
[[1,3,4,7],[2,6],[5]] generating graphics... => 0
[[1,2,4,7],[3,6],[5]] generating graphics... => 10
[[1,2,3,7],[4,6],[5]] generating graphics... => 19
[[1,3,5,7],[2,4],[6]] generating graphics... => 0
[[1,2,5,7],[3,4],[6]] generating graphics... => 7
[[1,3,4,7],[2,5],[6]] generating graphics... => 0
[[1,2,4,7],[3,5],[6]] generating graphics... => 10
[[1,2,3,7],[4,5],[6]] generating graphics... => 16
[[1,4,5,6],[2,7],[3]] generating graphics... => 5
[[1,3,5,6],[2,7],[4]] generating graphics... => 0
[[1,2,5,6],[3,7],[4]] generating graphics... => 14
[[1,3,4,6],[2,7],[5]] generating graphics... => 0
[[1,2,4,6],[3,7],[5]] generating graphics... => 10
[[1,2,3,6],[4,7],[5]] generating graphics... => 21
[[1,3,4,5],[2,7],[6]] generating graphics... => 0
[[1,2,4,5],[3,7],[6]] generating graphics... => 10
[[1,2,3,5],[4,7],[6]] generating graphics... => 18
[[1,2,3,4],[5,7],[6]] generating graphics... => 25
[[1,3,5,6],[2,4],[7]] generating graphics... => 0
[[1,2,5,6],[3,4],[7]] generating graphics... => 7
[[1,3,4,6],[2,5],[7]] generating graphics... => 0
[[1,2,4,6],[3,5],[7]] generating graphics... => 10
[[1,2,3,6],[4,5],[7]] generating graphics... => 16
[[1,3,4,5],[2,6],[7]] generating graphics... => 0
[[1,2,4,5],[3,6],[7]] generating graphics... => 10
[[1,2,3,5],[4,6],[7]] generating graphics... => 18
[[1,2,3,4],[5,6],[7]] generating graphics... => 23
[[1,5,6,7],[2],[3],[4]] generating graphics... => 0
[[1,4,6,7],[2],[3],[5]] generating graphics... => 4
[[1,3,6,7],[2],[4],[5]] generating graphics... => 0
[[1,2,6,7],[3],[4],[5]] generating graphics... => 10
[[1,4,5,7],[2],[3],[6]] generating graphics... => 4
[[1,3,5,7],[2],[4],[6]] generating graphics... => 0
[[1,2,5,7],[3],[4],[6]] generating graphics... => 13
[[1,3,4,7],[2],[5],[6]] generating graphics... => 0
[[1,2,4,7],[3],[5],[6]] generating graphics... => 10
[[1,2,3,7],[4],[5],[6]] generating graphics... => 18
[[1,4,5,6],[2],[3],[7]] generating graphics... => 4
[[1,3,5,6],[2],[4],[7]] generating graphics... => 0
[[1,2,5,6],[3],[4],[7]] generating graphics... => 13
[[1,3,4,6],[2],[5],[7]] generating graphics... => 0
[[1,2,4,6],[3],[5],[7]] generating graphics... => 10
[[1,2,3,6],[4],[5],[7]] generating graphics... => 20
[[1,3,4,5],[2],[6],[7]] generating graphics... => 0
[[1,2,4,5],[3],[6],[7]] generating graphics... => 10
[[1,2,3,5],[4],[6],[7]] generating graphics... => 18
[[1,2,3,4],[5],[6],[7]] generating graphics... => 24
[[1,4,6],[2,5,7],[3]] generating graphics... => 5
[[1,3,6],[2,5,7],[4]] generating graphics... => 0
[[1,2,6],[3,5,7],[4]] generating graphics... => 12
[[1,3,6],[2,4,7],[5]] generating graphics... => 0
[[1,2,6],[3,4,7],[5]] generating graphics... => 8
[[1,4,5],[2,6,7],[3]] generating graphics... => 5
[[1,3,5],[2,6,7],[4]] generating graphics... => 0
[[1,2,5],[3,6,7],[4]] generating graphics... => 12
[[1,3,4],[2,6,7],[5]] generating graphics... => 0
[[1,2,4],[3,6,7],[5]] generating graphics... => 8
[[1,2,3],[4,6,7],[5]] generating graphics... => 17
[[1,3,5],[2,4,7],[6]] generating graphics... => 0
[[1,2,5],[3,4,7],[6]] generating graphics... => 8
[[1,3,4],[2,5,7],[6]] generating graphics... => 0
[[1,2,4],[3,5,7],[6]] generating graphics... => 8
[[1,2,3],[4,5,7],[6]] generating graphics... => 14
[[1,3,5],[2,4,6],[7]] generating graphics... => 0
[[1,2,5],[3,4,6],[7]] generating graphics... => 8
[[1,3,4],[2,5,6],[7]] generating graphics... => 0
[[1,2,4],[3,5,6],[7]] generating graphics... => 8
[[1,2,3],[4,5,6],[7]] generating graphics... => 14
[[1,4,7],[2,5],[3,6]] generating graphics... => 6
[[1,3,7],[2,5],[4,6]] generating graphics... => 0
[[1,2,7],[3,5],[4,6]] generating graphics... => 10
[[1,3,7],[2,4],[5,6]] generating graphics... => 0
[[1,2,7],[3,4],[5,6]] generating graphics... => 6
[[1,4,6],[2,5],[3,7]] generating graphics... => 6
[[1,3,6],[2,5],[4,7]] generating graphics... => 0
[[1,2,6],[3,5],[4,7]] generating graphics... => 10
[[1,3,6],[2,4],[5,7]] generating graphics... => 0
[[1,2,6],[3,4],[5,7]] generating graphics... => 6
[[1,4,5],[2,6],[3,7]] generating graphics... => 6
[[1,3,5],[2,6],[4,7]] generating graphics... => 0
[[1,2,5],[3,6],[4,7]] generating graphics... => 14
[[1,3,4],[2,6],[5,7]] generating graphics... => 0
[[1,2,4],[3,6],[5,7]] generating graphics... => 9
[[1,2,3],[4,6],[5,7]] generating graphics... => 17
[[1,3,5],[2,4],[6,7]] generating graphics... => 0
[[1,2,5],[3,4],[6,7]] generating graphics... => 6
[[1,3,4],[2,5],[6,7]] generating graphics... => 0
[[1,2,4],[3,5],[6,7]] generating graphics... => 9
[[1,2,3],[4,5],[6,7]] generating graphics... => 14
[[1,5,7],[2,6],[3],[4]] generating graphics... => 0
[[1,4,7],[2,6],[3],[5]] generating graphics... => 4
[[1,3,7],[2,6],[4],[5]] generating graphics... => 0
[[1,2,7],[3,6],[4],[5]] generating graphics... => 7
[[1,4,7],[2,5],[3],[6]] generating graphics... => 4
[[1,3,7],[2,5],[4],[6]] generating graphics... => 0
[[1,2,7],[3,5],[4],[6]] generating graphics... => 10
[[1,3,7],[2,4],[5],[6]] generating graphics... => 0
[[1,2,7],[3,4],[5],[6]] generating graphics... => 7
[[1,5,6],[2,7],[3],[4]] generating graphics... => 0
[[1,4,6],[2,7],[3],[5]] generating graphics... => 4
[[1,3,6],[2,7],[4],[5]] generating graphics... => 0
[[1,2,6],[3,7],[4],[5]] generating graphics... => 9
[[1,4,5],[2,7],[3],[6]] generating graphics... => 4
[[1,3,5],[2,7],[4],[6]] generating graphics... => 0
[[1,2,5],[3,7],[4],[6]] generating graphics... => 12
[[1,3,4],[2,7],[5],[6]] generating graphics... => 0
[[1,2,4],[3,7],[5],[6]] generating graphics... => 9
[[1,2,3],[4,7],[5],[6]] generating graphics... => 15
[[1,4,6],[2,5],[3],[7]] generating graphics... => 4
[[1,3,6],[2,5],[4],[7]] generating graphics... => 0
[[1,2,6],[3,5],[4],[7]] generating graphics... => 10
[[1,3,6],[2,4],[5],[7]] generating graphics... => 0
[[1,2,6],[3,4],[5],[7]] generating graphics... => 7
[[1,4,5],[2,6],[3],[7]] generating graphics... => 4
[[1,3,5],[2,6],[4],[7]] generating graphics... => 0
[[1,2,5],[3,6],[4],[7]] generating graphics... => 12
[[1,3,4],[2,6],[5],[7]] generating graphics... => 0
[[1,2,4],[3,6],[5],[7]] generating graphics... => 9
[[1,2,3],[4,6],[5],[7]] generating graphics... => 17
[[1,3,5],[2,4],[6],[7]] generating graphics... => 0
[[1,2,5],[3,4],[6],[7]] generating graphics... => 7
[[1,3,4],[2,5],[6],[7]] generating graphics... => 0
[[1,2,4],[3,5],[6],[7]] generating graphics... => 9
[[1,2,3],[4,5],[6],[7]] generating graphics... => 15
[[1,6,7],[2],[3],[4],[5]] generating graphics... => 3
[[1,5,7],[2],[3],[4],[6]] generating graphics... => 0
[[1,4,7],[2],[3],[5],[6]] generating graphics... => 3
[[1,3,7],[2],[4],[5],[6]] generating graphics... => 0
[[1,2,7],[3],[4],[5],[6]] generating graphics... => 11
[[1,5,6],[2],[3],[4],[7]] generating graphics... => 0
[[1,4,6],[2],[3],[5],[7]] generating graphics... => 3
[[1,3,6],[2],[4],[5],[7]] generating graphics... => 0
[[1,2,6],[3],[4],[5],[7]] generating graphics... => 9
[[1,4,5],[2],[3],[6],[7]] generating graphics... => 3
[[1,3,5],[2],[4],[6],[7]] generating graphics... => 0
[[1,2,5],[3],[4],[6],[7]] generating graphics... => 11
[[1,3,4],[2],[5],[6],[7]] generating graphics... => 0
[[1,2,4],[3],[5],[6],[7]] generating graphics... => 9
[[1,2,3],[4],[5],[6],[7]] generating graphics... => 17
[[1,5],[2,6],[3,7],[4]] generating graphics... => 0
[[1,4],[2,6],[3,7],[5]] generating graphics... => 4
[[1,3],[2,6],[4,7],[5]] generating graphics... => 0
[[1,2],[3,6],[4,7],[5]] generating graphics... => 6
[[1,4],[2,5],[3,7],[6]] generating graphics... => 4
[[1,3],[2,5],[4,7],[6]] generating graphics... => 0
[[1,2],[3,5],[4,7],[6]] generating graphics... => 9
[[1,3],[2,4],[5,7],[6]] generating graphics... => 0
[[1,2],[3,4],[5,7],[6]] generating graphics... => 6
[[1,4],[2,5],[3,6],[7]] generating graphics... => 6
[[1,3],[2,5],[4,6],[7]] generating graphics... => 0
[[1,2],[3,5],[4,6],[7]] generating graphics... => 9
[[1,3],[2,4],[5,6],[7]] generating graphics... => 0
[[1,2],[3,4],[5,6],[7]] generating graphics... => 6
[[1,6],[2,7],[3],[4],[5]] generating graphics... => 3
[[1,5],[2,7],[3],[4],[6]] generating graphics... => 0
[[1,4],[2,7],[3],[5],[6]] generating graphics... => 3
[[1,3],[2,7],[4],[5],[6]] generating graphics... => 0
[[1,2],[3,7],[4],[5],[6]] generating graphics... => 9
[[1,5],[2,6],[3],[4],[7]] generating graphics... => 0
[[1,4],[2,6],[3],[5],[7]] generating graphics... => 3
[[1,3],[2,6],[4],[5],[7]] generating graphics... => 0
[[1,2],[3,6],[4],[5],[7]] generating graphics... => 7
[[1,4],[2,5],[3],[6],[7]] generating graphics... => 3
[[1,3],[2,5],[4],[6],[7]] generating graphics... => 0
[[1,2],[3,5],[4],[6],[7]] generating graphics... => 9
[[1,3],[2,4],[5],[6],[7]] generating graphics... => 0
[[1,2],[3,4],[5],[6],[7]] generating graphics... => 7
[[1,7],[2],[3],[4],[5],[6]] generating graphics... => 0
[[1,6],[2],[3],[4],[5],[7]] generating graphics... => 2
[[1,5],[2],[3],[4],[6],[7]] generating graphics... => 0
[[1,4],[2],[3],[5],[6],[7]] generating graphics... => 2
[[1,3],[2],[4],[5],[6],[7]] generating graphics... => 0
[[1,2],[3],[4],[5],[6],[7]] generating graphics... => 8
[[1],[2],[3],[4],[5],[6],[7]] generating graphics... => 1
[[1,2,3,4,5,6,7,8]] generating graphics... => 64
[[1,3,4,5,6,7,8],[2]] generating graphics... => 0
[[1,2,4,5,6,7,8],[3]] generating graphics... => 14
[[1,2,3,5,6,7,8],[4]] generating graphics... => 26
[[1,2,3,4,6,7,8],[5]] generating graphics... => 36
[[1,2,3,4,5,7,8],[6]] generating graphics... => 44
[[1,2,3,4,5,6,8],[7]] generating graphics... => 50
[[1,2,3,4,5,6,7],[8]] generating graphics... => 54
[[1,3,5,6,7,8],[2,4]] generating graphics... => 0
[[1,2,5,6,7,8],[3,4]] generating graphics... => 8
[[1,3,4,6,7,8],[2,5]] generating graphics... => 0
[[1,2,4,6,7,8],[3,5]] generating graphics... => 13
[[1,2,3,6,7,8],[4,5]] generating graphics... => 20
[[1,3,4,5,7,8],[2,6]] generating graphics... => 0
[[1,2,4,5,7,8],[3,6]] generating graphics... => 13
[[1,2,3,5,7,8],[4,6]] generating graphics... => 24
[[1,2,3,4,7,8],[5,6]] generating graphics... => 30
[[1,3,4,5,6,8],[2,7]] generating graphics... => 0
[[1,2,4,5,6,8],[3,7]] generating graphics... => 13
[[1,2,3,5,6,8],[4,7]] generating graphics... => 24
[[1,2,3,4,6,8],[5,7]] generating graphics... => 33
[[1,2,3,4,5,8],[6,7]] generating graphics... => 38
[[1,3,4,5,6,7],[2,8]] generating graphics... => 0
[[1,2,4,5,6,7],[3,8]] generating graphics... => 13
[[1,2,3,5,6,7],[4,8]] generating graphics... => 24
[[1,2,3,4,6,7],[5,8]] generating graphics... => 33
[[1,2,3,4,5,7],[6,8]] generating graphics... => 40
[[1,2,3,4,5,6],[7,8]] generating graphics... => 44
[[1,4,5,6,7,8],[2],[3]] generating graphics... => 6
[[1,3,5,6,7,8],[2],[4]] generating graphics... => 0
[[1,2,5,6,7,8],[3],[4]] generating graphics... => 18
[[1,3,4,6,7,8],[2],[5]] generating graphics... => 0
[[1,2,4,6,7,8],[3],[5]] generating graphics... => 13
[[1,2,3,6,7,8],[4],[5]] generating graphics... => 28
[[1,3,4,5,7,8],[2],[6]] generating graphics... => 0
[[1,2,4,5,7,8],[3],[6]] generating graphics... => 13
[[1,2,3,5,7,8],[4],[6]] generating graphics... => 24
[[1,2,3,4,7,8],[5],[6]] generating graphics... => 36
[[1,3,4,5,6,8],[2],[7]] generating graphics... => 0
[[1,2,4,5,6,8],[3],[7]] generating graphics... => 13
[[1,2,3,5,6,8],[4],[7]] generating graphics... => 24
[[1,2,3,4,6,8],[5],[7]] generating graphics... => 33
[[1,2,3,4,5,8],[6],[7]] generating graphics... => 42
[[1,3,4,5,6,7],[2],[8]] generating graphics... => 0
[[1,2,4,5,6,7],[3],[8]] generating graphics... => 13
[[1,2,3,5,6,7],[4],[8]] generating graphics... => 24
[[1,2,3,4,6,7],[5],[8]] generating graphics... => 33
[[1,2,3,4,5,7],[6],[8]] generating graphics... => 40
[[1,2,3,4,5,6],[7],[8]] generating graphics... => 46
[[1,3,5,7,8],[2,4,6]] generating graphics... => 0
[[1,2,5,7,8],[3,4,6]] generating graphics... => 9
[[1,3,4,7,8],[2,5,6]] generating graphics... => 0
[[1,2,4,7,8],[3,5,6]] generating graphics... => 9
[[1,2,3,7,8],[4,5,6]] generating graphics... => 16
[[1,3,5,6,8],[2,4,7]] generating graphics... => 0
[[1,2,5,6,8],[3,4,7]] generating graphics... => 9
[[1,3,4,6,8],[2,5,7]] generating graphics... => 0
[[1,2,4,6,8],[3,5,7]] generating graphics... => 12
[[1,2,3,6,8],[4,5,7]] generating graphics... => 20
[[1,3,4,5,8],[2,6,7]] generating graphics... => 0
[[1,2,4,5,8],[3,6,7]] generating graphics... => 12
[[1,2,3,5,8],[4,6,7]] generating graphics... => 20
[[1,2,3,4,8],[5,6,7]] generating graphics... => 26
[[1,3,5,6,7],[2,4,8]] generating graphics... => 0
[[1,2,5,6,7],[3,4,8]] generating graphics... => 9
[[1,3,4,6,7],[2,5,8]] generating graphics... => 0
[[1,2,4,6,7],[3,5,8]] generating graphics... => 12
[[1,2,3,6,7],[4,5,8]] generating graphics... => 20
[[1,3,4,5,7],[2,6,8]] generating graphics... => 0
[[1,2,4,5,7],[3,6,8]] generating graphics... => 12
[[1,2,3,5,7],[4,6,8]] generating graphics... => 22
[[1,2,3,4,7],[5,6,8]] generating graphics... => 29
[[1,3,4,5,6],[2,7,8]] generating graphics... => 0
[[1,2,4,5,6],[3,7,8]] generating graphics... => 12
[[1,2,3,5,6],[4,7,8]] generating graphics... => 22
[[1,2,3,4,6],[5,7,8]] generating graphics... => 29
[[1,2,3,4,5],[6,7,8]] generating graphics... => 34
[[1,4,6,7,8],[2,5],[3]] generating graphics... => 6
[[1,3,6,7,8],[2,5],[4]] generating graphics... => 0
[[1,2,6,7,8],[3,5],[4]] generating graphics... => 13
[[1,3,6,7,8],[2,4],[5]] generating graphics... => 0
[[1,2,6,7,8],[3,4],[5]] generating graphics... => 8
[[1,4,5,7,8],[2,6],[3]] generating graphics... => 6
[[1,3,5,7,8],[2,6],[4]] generating graphics... => 0
[[1,2,5,7,8],[3,6],[4]] generating graphics... => 17
[[1,3,4,7,8],[2,6],[5]] generating graphics... => 0
[[1,2,4,7,8],[3,6],[5]] generating graphics... => 12
[[1,2,3,7,8],[4,6],[5]] generating graphics... => 23
[[1,3,5,7,8],[2,4],[6]] generating graphics... => 0
[[1,2,5,7,8],[3,4],[6]] generating graphics... => 8
[[1,3,4,7,8],[2,5],[6]] generating graphics... => 0
[[1,2,4,7,8],[3,5],[6]] generating graphics... => 12
[[1,2,3,7,8],[4,5],[6]] generating graphics... => 19
[[1,4,5,6,8],[2,7],[3]] generating graphics... => 6
[[1,3,5,6,8],[2,7],[4]] generating graphics... => 0
[[1,2,5,6,8],[3,7],[4]] generating graphics... => 17
[[1,3,4,6,8],[2,7],[5]] generating graphics... => 0
[[1,2,4,6,8],[3,7],[5]] generating graphics... => 12
[[1,2,3,6,8],[4,7],[5]] generating graphics... => 26
[[1,3,4,5,8],[2,7],[6]] generating graphics... => 0
[[1,2,4,5,8],[3,7],[6]] generating graphics... => 12
[[1,2,3,5,8],[4,7],[6]] generating graphics... => 22
[[1,2,3,4,8],[5,7],[6]] generating graphics... => 31
[[1,3,5,6,8],[2,4],[7]] generating graphics... => 0
[[1,2,5,6,8],[3,4],[7]] generating graphics... => 8
[[1,3,4,6,8],[2,5],[7]] generating graphics... => 0
[[1,2,4,6,8],[3,5],[7]] generating graphics... => 12
[[1,2,3,6,8],[4,5],[7]] generating graphics... => 19
[[1,3,4,5,8],[2,6],[7]] generating graphics... => 0
[[1,2,4,5,8],[3,6],[7]] generating graphics... => 12
[[1,2,3,5,8],[4,6],[7]] generating graphics... => 22
[[1,2,3,4,8],[5,6],[7]] generating graphics... => 28
[[1,4,5,6,7],[2,8],[3]] generating graphics... => 6
[[1,3,5,6,7],[2,8],[4]] generating graphics... => 0
[[1,2,5,6,7],[3,8],[4]] generating graphics... => 17
[[1,3,4,6,7],[2,8],[5]] generating graphics... => 0
[[1,2,4,6,7],[3,8],[5]] generating graphics... => 12
[[1,2,3,6,7],[4,8],[5]] generating graphics... => 26
[[1,3,4,5,7],[2,8],[6]] generating graphics... => 0
[[1,2,4,5,7],[3,8],[6]] generating graphics... => 12
[[1,2,3,5,7],[4,8],[6]] generating graphics... => 22
[[1,2,3,4,7],[5,8],[6]] generating graphics... => 33
[[1,3,4,5,6],[2,8],[7]] generating graphics... => 0
[[1,2,4,5,6],[3,8],[7]] generating graphics... => 12
[[1,2,3,5,6],[4,8],[7]] generating graphics... => 22
[[1,2,3,4,6],[5,8],[7]] generating graphics... => 30
[[1,2,3,4,5],[6,8],[7]] generating graphics... => 37
[[1,3,5,6,7],[2,4],[8]] generating graphics... => 0
[[1,2,5,6,7],[3,4],[8]] generating graphics... => 8
[[1,3,4,6,7],[2,5],[8]] generating graphics... => 0
[[1,2,4,6,7],[3,5],[8]] generating graphics... => 12
[[1,2,3,6,7],[4,5],[8]] generating graphics... => 19
[[1,3,4,5,7],[2,6],[8]] generating graphics... => 0
[[1,2,4,5,7],[3,6],[8]] generating graphics... => 12
[[1,2,3,5,7],[4,6],[8]] generating graphics... => 22
[[1,2,3,4,7],[5,6],[8]] generating graphics... => 28
[[1,3,4,5,6],[2,7],[8]] generating graphics... => 0
[[1,2,4,5,6],[3,7],[8]] generating graphics... => 12
[[1,2,3,5,6],[4,7],[8]] generating graphics... => 22
[[1,2,3,4,6],[5,7],[8]] generating graphics... => 30
[[1,2,3,4,5],[6,7],[8]] generating graphics... => 35
[[1,5,6,7,8],[2],[3],[4]] generating graphics... => 0
[[1,4,6,7,8],[2],[3],[5]] generating graphics... => 5
[[1,3,6,7,8],[2],[4],[5]] generating graphics... => 0
[[1,2,6,7,8],[3],[4],[5]] generating graphics... => 12
[[1,4,5,7,8],[2],[3],[6]] generating graphics... => 5
[[1,3,5,7,8],[2],[4],[6]] generating graphics... => 0
[[1,2,5,7,8],[3],[4],[6]] generating graphics... => 16
[[1,3,4,7,8],[2],[5],[6]] generating graphics... => 0
[[1,2,4,7,8],[3],[5],[6]] generating graphics... => 12
[[1,2,3,7,8],[4],[5],[6]] generating graphics... => 22
[[1,4,5,6,8],[2],[3],[7]] generating graphics... => 5
[[1,3,5,6,8],[2],[4],[7]] generating graphics... => 0
[[1,2,5,6,8],[3],[4],[7]] generating graphics... => 16
[[1,3,4,6,8],[2],[5],[7]] generating graphics... => 0
[[1,2,4,6,8],[3],[5],[7]] generating graphics... => 12
[[1,2,3,6,8],[4],[5],[7]] generating graphics... => 25
[[1,3,4,5,8],[2],[6],[7]] generating graphics... => 0
[[1,2,4,5,8],[3],[6],[7]] generating graphics... => 12
[[1,2,3,5,8],[4],[6],[7]] generating graphics... => 22
[[1,2,3,4,8],[5],[6],[7]] generating graphics... => 30
[[1,4,5,6,7],[2],[3],[8]] generating graphics... => 5
[[1,3,5,6,7],[2],[4],[8]] generating graphics... => 0
[[1,2,5,6,7],[3],[4],[8]] generating graphics... => 16
[[1,3,4,6,7],[2],[5],[8]] generating graphics... => 0
[[1,2,4,6,7],[3],[5],[8]] generating graphics... => 12
[[1,2,3,6,7],[4],[5],[8]] generating graphics... => 25
[[1,3,4,5,7],[2],[6],[8]] generating graphics... => 0
[[1,2,4,5,7],[3],[6],[8]] generating graphics... => 12
[[1,2,3,5,7],[4],[6],[8]] generating graphics... => 22
[[1,2,3,4,7],[5],[6],[8]] generating graphics... => 32
[[1,3,4,5,6],[2],[7],[8]] generating graphics... => 0
[[1,2,4,5,6],[3],[7],[8]] generating graphics... => 12
[[1,2,3,5,6],[4],[7],[8]] generating graphics... => 22
[[1,2,3,4,6],[5],[7],[8]] generating graphics... => 30
[[1,2,3,4,5],[6],[7],[8]] generating graphics... => 36
[[1,3,5,7],[2,4,6,8]] generating graphics... => 0
[[1,2,5,7],[3,4,6,8]] generating graphics... => 10
[[1,3,4,7],[2,5,6,8]] generating graphics... => 0
[[1,2,4,7],[3,5,6,8]] generating graphics... => 10
[[1,2,3,7],[4,5,6,8]] generating graphics... => 18
[[1,3,5,6],[2,4,7,8]] generating graphics... => 0
[[1,2,5,6],[3,4,7,8]] generating graphics... => 10
[[1,3,4,6],[2,5,7,8]] generating graphics... => 0
[[1,2,4,6],[3,5,7,8]] generating graphics... => 10
[[1,2,3,6],[4,5,7,8]] generating graphics... => 18
[[1,3,4,5],[2,6,7,8]] generating graphics... => 0
[[1,2,4,5],[3,6,7,8]] generating graphics... => 10
[[1,2,3,5],[4,6,7,8]] generating graphics... => 18
[[1,2,3,4],[5,6,7,8]] generating graphics... => 24
[[1,4,6,8],[2,5,7],[3]] generating graphics... => 6
[[1,3,6,8],[2,5,7],[4]] generating graphics... => 0
[[1,2,6,8],[3,5,7],[4]] generating graphics... => 14
[[1,3,6,8],[2,4,7],[5]] generating graphics... => 0
[[1,2,6,8],[3,4,7],[5]] generating graphics... => 9
[[1,4,5,8],[2,6,7],[3]] generating graphics... => 6
[[1,3,5,8],[2,6,7],[4]] generating graphics... => 0
[[1,2,5,8],[3,6,7],[4]] generating graphics... => 14
[[1,3,4,8],[2,6,7],[5]] generating graphics... => 0
[[1,2,4,8],[3,6,7],[5]] generating graphics... => 9
[[1,2,3,8],[4,6,7],[5]] generating graphics... => 20
[[1,3,5,8],[2,4,7],[6]] generating graphics... => 0
[[1,2,5,8],[3,4,7],[6]] generating graphics... => 9
[[1,3,4,8],[2,5,7],[6]] generating graphics... => 0
[[1,2,4,8],[3,5,7],[6]] generating graphics... => 9
[[1,2,3,8],[4,5,7],[6]] generating graphics... => 16
[[1,3,5,8],[2,4,6],[7]] generating graphics... => 0
[[1,2,5,8],[3,4,6],[7]] generating graphics... => 9
[[1,3,4,8],[2,5,6],[7]] generating graphics... => 0
[[1,2,4,8],[3,5,6],[7]] generating graphics... => 9
[[1,2,3,8],[4,5,6],[7]] generating graphics... => 16
[[1,4,6,7],[2,5,8],[3]] generating graphics... => 6
[[1,3,6,7],[2,5,8],[4]] generating graphics... => 0
[[1,2,6,7],[3,5,8],[4]] generating graphics... => 14
[[1,3,6,7],[2,4,8],[5]] generating graphics... => 0
[[1,2,6,7],[3,4,8],[5]] generating graphics... => 9
[[1,4,5,7],[2,6,8],[3]] generating graphics... => 6
[[1,3,5,7],[2,6,8],[4]] generating graphics... => 0
[[1,2,5,7],[3,6,8],[4]] generating graphics... => 16
[[1,3,4,7],[2,6,8],[5]] generating graphics... => 0
[[1,2,4,7],[3,6,8],[5]] generating graphics... => 11
[[1,2,3,7],[4,6,8],[5]] generating graphics... => 23
[[1,3,5,7],[2,4,8],[6]] generating graphics... => 0
[[1,2,5,7],[3,4,8],[6]] generating graphics... => 9
[[1,3,4,7],[2,5,8],[6]] generating graphics... => 0
[[1,2,4,7],[3,5,8],[6]] generating graphics... => 11
[[1,2,3,7],[4,5,8],[6]] generating graphics... => 19
[[1,4,5,6],[2,7,8],[3]] generating graphics... => 6
[[1,3,5,6],[2,7,8],[4]] generating graphics... => 0
[[1,2,5,6],[3,7,8],[4]] generating graphics... => 16
[[1,3,4,6],[2,7,8],[5]] generating graphics... => 0
[[1,2,4,6],[3,7,8],[5]] generating graphics... => 11
[[1,2,3,6],[4,7,8],[5]] generating graphics... => 23
[[1,3,4,5],[2,7,8],[6]] generating graphics... => 0
[[1,2,4,5],[3,7,8],[6]] generating graphics... => 11
[[1,2,3,5],[4,7,8],[6]] generating graphics... => 19
[[1,2,3,4],[5,7,8],[6]] generating graphics... => 28
[[1,3,5,6],[2,4,8],[7]] generating graphics... => 0
[[1,2,5,6],[3,4,8],[7]] generating graphics... => 9
[[1,3,4,6],[2,5,8],[7]] generating graphics... => 0
[[1,2,4,6],[3,5,8],[7]] generating graphics... => 11
[[1,2,3,6],[4,5,8],[7]] generating graphics... => 19
[[1,3,4,5],[2,6,8],[7]] generating graphics... => 0
[[1,2,4,5],[3,6,8],[7]] generating graphics... => 11
[[1,2,3,5],[4,6,8],[7]] generating graphics... => 19
[[1,2,3,4],[5,6,8],[7]] generating graphics... => 25
[[1,3,5,7],[2,4,6],[8]] generating graphics... => 0
[[1,2,5,7],[3,4,6],[8]] generating graphics... => 9
[[1,3,4,7],[2,5,6],[8]] generating graphics... => 0
[[1,2,4,7],[3,5,6],[8]] generating graphics... => 9
[[1,2,3,7],[4,5,6],[8]] generating graphics... => 16
[[1,3,5,6],[2,4,7],[8]] generating graphics... => 0
[[1,2,5,6],[3,4,7],[8]] generating graphics... => 9
[[1,3,4,6],[2,5,7],[8]] generating graphics... => 0
[[1,2,4,6],[3,5,7],[8]] generating graphics... => 11
[[1,2,3,6],[4,5,7],[8]] generating graphics... => 19
[[1,3,4,5],[2,6,7],[8]] generating graphics... => 0
[[1,2,4,5],[3,6,7],[8]] generating graphics... => 11
[[1,2,3,5],[4,6,7],[8]] generating graphics... => 19
[[1,2,3,4],[5,6,7],[8]] generating graphics... => 25
[[1,4,7,8],[2,5],[3,6]] generating graphics... => 7
[[1,3,7,8],[2,5],[4,6]] generating graphics... => 0
[[1,2,7,8],[3,5],[4,6]] generating graphics... => 12
[[1,3,7,8],[2,4],[5,6]] generating graphics... => 0
[[1,2,7,8],[3,4],[5,6]] generating graphics... => 7
[[1,4,6,8],[2,5],[3,7]] generating graphics... => 7
[[1,3,6,8],[2,5],[4,7]] generating graphics... => 0
[[1,2,6,8],[3,5],[4,7]] generating graphics... => 12
[[1,3,6,8],[2,4],[5,7]] generating graphics... => 0
[[1,2,6,8],[3,4],[5,7]] generating graphics... => 7
[[1,4,5,8],[2,6],[3,7]] generating graphics... => 7
[[1,3,5,8],[2,6],[4,7]] generating graphics... => 0
[[1,2,5,8],[3,6],[4,7]] generating graphics... => 17
[[1,3,4,8],[2,6],[5,7]] generating graphics... => 0
[[1,2,4,8],[3,6],[5,7]] generating graphics... => 11
[[1,2,3,8],[4,6],[5,7]] generating graphics... => 21
[[1,3,5,8],[2,4],[6,7]] generating graphics... => 0
[[1,2,5,8],[3,4],[6,7]] generating graphics... => 7
[[1,3,4,8],[2,5],[6,7]] generating graphics... => 0
[[1,2,4,8],[3,5],[6,7]] generating graphics... => 11
[[1,2,3,8],[4,5],[6,7]] generating graphics... => 17
[[1,4,6,7],[2,5],[3,8]] generating graphics... => 7
[[1,3,6,7],[2,5],[4,8]] generating graphics... => 0
[[1,2,6,7],[3,5],[4,8]] generating graphics... => 12
[[1,3,6,7],[2,4],[5,8]] generating graphics... => 0
[[1,2,6,7],[3,4],[5,8]] generating graphics... => 7
[[1,4,5,7],[2,6],[3,8]] generating graphics... => 7
[[1,3,5,7],[2,6],[4,8]] generating graphics... => 0
[[1,2,5,7],[3,6],[4,8]] generating graphics... => 17
[[1,3,4,7],[2,6],[5,8]] generating graphics... => 0
[[1,2,4,7],[3,6],[5,8]] generating graphics... => 11
[[1,2,3,7],[4,6],[5,8]] generating graphics... => 21
[[1,3,5,7],[2,4],[6,8]] generating graphics... => 0
[[1,2,5,7],[3,4],[6,8]] generating graphics... => 7
[[1,3,4,7],[2,5],[6,8]] generating graphics... => 0
[[1,2,4,7],[3,5],[6,8]] generating graphics... => 11
[[1,2,3,7],[4,5],[6,8]] generating graphics... => 17
[[1,4,5,6],[2,7],[3,8]] generating graphics... => 7
[[1,3,5,6],[2,7],[4,8]] generating graphics... => 0
[[1,2,5,6],[3,7],[4,8]] generating graphics... => 17
[[1,3,4,6],[2,7],[5,8]] generating graphics... => 0
[[1,2,4,6],[3,7],[5,8]] generating graphics... => 11
[[1,2,3,6],[4,7],[5,8]] generating graphics... => 25
[[1,3,4,5],[2,7],[6,8]] generating graphics... => 0
[[1,2,4,5],[3,7],[6,8]] generating graphics... => 11
[[1,2,3,5],[4,7],[6,8]] generating graphics... => 20
[[1,2,3,4],[5,7],[6,8]] generating graphics... => 28
[[1,3,5,6],[2,4],[7,8]] generating graphics... => 0
[[1,2,5,6],[3,4],[7,8]] generating graphics... => 7
[[1,3,4,6],[2,5],[7,8]] generating graphics... => 0
[[1,2,4,6],[3,5],[7,8]] generating graphics... => 11
[[1,2,3,6],[4,5],[7,8]] generating graphics... => 17
[[1,3,4,5],[2,6],[7,8]] generating graphics... => 0
[[1,2,4,5],[3,6],[7,8]] generating graphics... => 11
[[1,2,3,5],[4,6],[7,8]] generating graphics... => 20
[[1,2,3,4],[5,6],[7,8]] generating graphics... => 25
[[1,5,7,8],[2,6],[3],[4]] generating graphics... => 0
[[1,4,7,8],[2,6],[3],[5]] generating graphics... => 5
[[1,3,7,8],[2,6],[4],[5]] generating graphics... => 0
[[1,2,7,8],[3,6],[4],[5]] generating graphics... => 8
[[1,4,7,8],[2,5],[3],[6]] generating graphics... => 5
[[1,3,7,8],[2,5],[4],[6]] generating graphics... => 0
[[1,2,7,8],[3,5],[4],[6]] generating graphics... => 12
[[1,3,7,8],[2,4],[5],[6]] generating graphics... => 0
[[1,2,7,8],[3,4],[5],[6]] generating graphics... => 8
[[1,5,6,8],[2,7],[3],[4]] generating graphics... => 0
[[1,4,6,8],[2,7],[3],[5]] generating graphics... => 5
[[1,3,6,8],[2,7],[4],[5]] generating graphics... => 0
[[1,2,6,8],[3,7],[4],[5]] generating graphics... => 11
[[1,4,5,8],[2,7],[3],[6]] generating graphics... => 5
[[1,3,5,8],[2,7],[4],[6]] generating graphics... => 0
[[1,2,5,8],[3,7],[4],[6]] generating graphics... => 15
[[1,3,4,8],[2,7],[5],[6]] generating graphics... => 0
[[1,2,4,8],[3,7],[5],[6]] generating graphics... => 11
[[1,2,3,8],[4,7],[5],[6]] generating graphics... => 18
[[1,4,6,8],[2,5],[3],[7]] generating graphics... => 5
[[1,3,6,8],[2,5],[4],[7]] generating graphics... => 0
[[1,2,6,8],[3,5],[4],[7]] generating graphics... => 12
[[1,3,6,8],[2,4],[5],[7]] generating graphics... => 0
[[1,2,6,8],[3,4],[5],[7]] generating graphics... => 8
[[1,4,5,8],[2,6],[3],[7]] generating graphics... => 5
[[1,3,5,8],[2,6],[4],[7]] generating graphics... => 0
[[1,2,5,8],[3,6],[4],[7]] generating graphics... => 15
[[1,3,4,8],[2,6],[5],[7]] generating graphics... => 0
[[1,2,4,8],[3,6],[5],[7]] generating graphics... => 11
[[1,2,3,8],[4,6],[5],[7]] generating graphics... => 21
[[1,3,5,8],[2,4],[6],[7]] generating graphics... => 0
[[1,2,5,8],[3,4],[6],[7]] generating graphics... => 8
[[1,3,4,8],[2,5],[6],[7]] generating graphics... => 0
[[1,2,4,8],[3,5],[6],[7]] generating graphics... => 11
[[1,2,3,8],[4,5],[6],[7]] generating graphics... => 18
[[1,5,6,7],[2,8],[3],[4]] generating graphics... => 0
[[1,4,6,7],[2,8],[3],[5]] generating graphics... => 5
[[1,3,6,7],[2,8],[4],[5]] generating graphics... => 0
[[1,2,6,7],[3,8],[4],[5]] generating graphics... => 11
[[1,4,5,7],[2,8],[3],[6]] generating graphics... => 5
[[1,3,5,7],[2,8],[4],[6]] generating graphics... => 0
[[1,2,5,7],[3,8],[4],[6]] generating graphics... => 15
[[1,3,4,7],[2,8],[5],[6]] generating graphics... => 0
[[1,2,4,7],[3,8],[5],[6]] generating graphics... => 11
[[1,2,3,7],[4,8],[5],[6]] generating graphics... => 20
[[1,4,5,6],[2,8],[3],[7]] generating graphics... => 5
[[1,3,5,6],[2,8],[4],[7]] generating graphics... => 0
[[1,2,5,6],[3,8],[4],[7]] generating graphics... => 15
[[1,3,4,6],[2,8],[5],[7]] generating graphics... => 0
[[1,2,4,6],[3,8],[5],[7]] generating graphics... => 11
[[1,2,3,6],[4,8],[5],[7]] generating graphics... => 23
[[1,3,4,5],[2,8],[6],[7]] generating graphics... => 0
[[1,2,4,5],[3,8],[6],[7]] generating graphics... => 11
[[1,2,3,5],[4,8],[6],[7]] generating graphics... => 20
[[1,2,3,4],[5,8],[6],[7]] generating graphics... => 26
[[1,4,6,7],[2,5],[3],[8]] generating graphics... => 5
[[1,3,6,7],[2,5],[4],[8]] generating graphics... => 0
[[1,2,6,7],[3,5],[4],[8]] generating graphics... => 12
[[1,3,6,7],[2,4],[5],[8]] generating graphics... => 0
[[1,2,6,7],[3,4],[5],[8]] generating graphics... => 8
[[1,4,5,7],[2,6],[3],[8]] generating graphics... => 5
[[1,3,5,7],[2,6],[4],[8]] generating graphics... => 0
[[1,2,5,7],[3,6],[4],[8]] generating graphics... => 15
[[1,3,4,7],[2,6],[5],[8]] generating graphics... => 0
[[1,2,4,7],[3,6],[5],[8]] generating graphics... => 11
[[1,2,3,7],[4,6],[5],[8]] generating graphics... => 21
[[1,3,5,7],[2,4],[6],[8]] generating graphics... => 0
[[1,2,5,7],[3,4],[6],[8]] generating graphics... => 8
[[1,3,4,7],[2,5],[6],[8]] generating graphics... => 0
[[1,2,4,7],[3,5],[6],[8]] generating graphics... => 11
[[1,2,3,7],[4,5],[6],[8]] generating graphics... => 18
[[1,4,5,6],[2,7],[3],[8]] generating graphics... => 5
[[1,3,5,6],[2,7],[4],[8]] generating graphics... => 0
[[1,2,5,6],[3,7],[4],[8]] generating graphics... => 15
[[1,3,4,6],[2,7],[5],[8]] generating graphics... => 0
[[1,2,4,6],[3,7],[5],[8]] generating graphics... => 11
[[1,2,3,6],[4,7],[5],[8]] generating graphics... => 23
[[1,3,4,5],[2,7],[6],[8]] generating graphics... => 0
[[1,2,4,5],[3,7],[6],[8]] generating graphics... => 11
[[1,2,3,5],[4,7],[6],[8]] generating graphics... => 20
[[1,2,3,4],[5,7],[6],[8]] generating graphics... => 28
[[1,3,5,6],[2,4],[7],[8]] generating graphics... => 0
[[1,2,5,6],[3,4],[7],[8]] generating graphics... => 8
[[1,3,4,6],[2,5],[7],[8]] generating graphics... => 0
[[1,2,4,6],[3,5],[7],[8]] generating graphics... => 11
[[1,2,3,6],[4,5],[7],[8]] generating graphics... => 18
[[1,3,4,5],[2,6],[7],[8]] generating graphics... => 0
[[1,2,4,5],[3,6],[7],[8]] generating graphics... => 11
[[1,2,3,5],[4,6],[7],[8]] generating graphics... => 20
[[1,2,3,4],[5,6],[7],[8]] generating graphics... => 26
[[1,6,7,8],[2],[3],[4],[5]] generating graphics... => 4
[[1,5,7,8],[2],[3],[4],[6]] generating graphics... => 0
[[1,4,7,8],[2],[3],[5],[6]] generating graphics... => 4
[[1,3,7,8],[2],[4],[5],[6]] generating graphics... => 0
[[1,2,7,8],[3],[4],[5],[6]] generating graphics... => 14
[[1,5,6,8],[2],[3],[4],[7]] generating graphics... => 0
[[1,4,6,8],[2],[3],[5],[7]] generating graphics... => 4
[[1,3,6,8],[2],[4],[5],[7]] generating graphics... => 0
[[1,2,6,8],[3],[4],[5],[7]] generating graphics... => 11
[[1,4,5,8],[2],[3],[6],[7]] generating graphics... => 4
[[1,3,5,8],[2],[4],[6],[7]] generating graphics... => 0
[[1,2,5,8],[3],[4],[6],[7]] generating graphics... => 14
[[1,3,4,8],[2],[5],[6],[7]] generating graphics... => 0
[[1,2,4,8],[3],[5],[6],[7]] generating graphics... => 11
[[1,2,3,8],[4],[5],[6],[7]] generating graphics... => 22
[[1,5,6,7],[2],[3],[4],[8]] generating graphics... => 0
[[1,4,6,7],[2],[3],[5],[8]] generating graphics... => 4
[[1,3,6,7],[2],[4],[5],[8]] generating graphics... => 0
[[1,2,6,7],[3],[4],[5],[8]] generating graphics... => 11
[[1,4,5,7],[2],[3],[6],[8]] generating graphics... => 4
[[1,3,5,7],[2],[4],[6],[8]] generating graphics... => 0
[[1,2,5,7],[3],[4],[6],[8]] generating graphics... => 14
[[1,3,4,7],[2],[5],[6],[8]] generating graphics... => 0
[[1,2,4,7],[3],[5],[6],[8]] generating graphics... => 11
[[1,2,3,7],[4],[5],[6],[8]] generating graphics... => 20
[[1,4,5,6],[2],[3],[7],[8]] generating graphics... => 4
[[1,3,5,6],[2],[4],[7],[8]] generating graphics... => 0
[[1,2,5,6],[3],[4],[7],[8]] generating graphics... => 14
[[1,3,4,6],[2],[5],[7],[8]] generating graphics... => 0
[[1,2,4,6],[3],[5],[7],[8]] generating graphics... => 11
[[1,2,3,6],[4],[5],[7],[8]] generating graphics... => 22
[[1,3,4,5],[2],[6],[7],[8]] generating graphics... => 0
[[1,2,4,5],[3],[6],[7],[8]] generating graphics... => 11
[[1,2,3,5],[4],[6],[7],[8]] generating graphics... => 20
[[1,2,3,4],[5],[6],[7],[8]] generating graphics... => 28
[[1,4,7],[2,5,8],[3,6]] generating graphics... => 7
[[1,3,7],[2,5,8],[4,6]] generating graphics... => 0
[[1,2,7],[3,5,8],[4,6]] generating graphics... => 12
[[1,3,7],[2,4,8],[5,6]] generating graphics... => 0
[[1,2,7],[3,4,8],[5,6]] generating graphics... => 7
[[1,4,6],[2,5,8],[3,7]] generating graphics... => 7
[[1,3,6],[2,5,8],[4,7]] generating graphics... => 0
[[1,2,6],[3,5,8],[4,7]] generating graphics... => 12
[[1,3,6],[2,4,8],[5,7]] generating graphics... => 0
[[1,2,6],[3,4,8],[5,7]] generating graphics... => 7
[[1,4,5],[2,6,8],[3,7]] generating graphics... => 7
[[1,3,5],[2,6,8],[4,7]] generating graphics... => 0
[[1,2,5],[3,6,8],[4,7]] generating graphics... => 15
[[1,3,4],[2,6,8],[5,7]] generating graphics... => 0
[[1,2,4],[3,6,8],[5,7]] generating graphics... => 9
[[1,2,3],[4,6,8],[5,7]] generating graphics... => 19
[[1,3,5],[2,4,8],[6,7]] generating graphics... => 0
[[1,2,5],[3,4,8],[6,7]] generating graphics... => 7
[[1,3,4],[2,5,8],[6,7]] generating graphics... => 0
[[1,2,4],[3,5,8],[6,7]] generating graphics... => 9
[[1,2,3],[4,5,8],[6,7]] generating graphics... => 15
[[1,4,6],[2,5,7],[3,8]] generating graphics... => 7
[[1,3,6],[2,5,7],[4,8]] generating graphics... => 0
[[1,2,6],[3,5,7],[4,8]] generating graphics... => 15
[[1,3,6],[2,4,7],[5,8]] generating graphics... => 0
[[1,2,6],[3,4,7],[5,8]] generating graphics... => 9
[[1,4,5],[2,6,7],[3,8]] generating graphics... => 7
[[1,3,5],[2,6,7],[4,8]] generating graphics... => 0
[[1,2,5],[3,6,7],[4,8]] generating graphics... => 15
[[1,3,4],[2,6,7],[5,8]] generating graphics... => 0
[[1,2,4],[3,6,7],[5,8]] generating graphics... => 9
[[1,2,3],[4,6,7],[5,8]] generating graphics... => 19
[[1,3,5],[2,4,7],[6,8]] generating graphics... => 0
[[1,2,5],[3,4,7],[6,8]] generating graphics... => 9
[[1,3,4],[2,5,7],[6,8]] generating graphics... => 0
[[1,2,4],[3,5,7],[6,8]] generating graphics... => 9
[[1,2,3],[4,5,7],[6,8]] generating graphics... => 15
[[1,3,5],[2,4,6],[7,8]] generating graphics... => 0
[[1,2,5],[3,4,6],[7,8]] generating graphics... => 9
[[1,3,4],[2,5,6],[7,8]] generating graphics... => 0
[[1,2,4],[3,5,6],[7,8]] generating graphics... => 9
[[1,2,3],[4,5,6],[7,8]] generating graphics... => 15
[[1,5,7],[2,6,8],[3],[4]] generating graphics... => 0
[[1,4,7],[2,6,8],[3],[5]] generating graphics... => 5
[[1,3,7],[2,6,8],[4],[5]] generating graphics... => 0
[[1,2,7],[3,6,8],[4],[5]] generating graphics... => 9
[[1,4,7],[2,5,8],[3],[6]] generating graphics... => 5
[[1,3,7],[2,5,8],[4],[6]] generating graphics... => 0
[[1,2,7],[3,5,8],[4],[6]] generating graphics... => 13
[[1,3,7],[2,4,8],[5],[6]] generating graphics... => 0
[[1,2,7],[3,4,8],[5],[6]] generating graphics... => 9
[[1,5,6],[2,7,8],[3],[4]] generating graphics... => 0
[[1,4,6],[2,7,8],[3],[5]] generating graphics... => 5
[[1,3,6],[2,7,8],[4],[5]] generating graphics... => 0
[[1,2,6],[3,7,8],[4],[5]] generating graphics... => 9
[[1,4,5],[2,7,8],[3],[6]] generating graphics... => 5
[[1,3,5],[2,7,8],[4],[6]] generating graphics... => 0
[[1,2,5],[3,7,8],[4],[6]] generating graphics... => 13
[[1,3,4],[2,7,8],[5],[6]] generating graphics... => 0
[[1,2,4],[3,7,8],[5],[6]] generating graphics... => 9
[[1,2,3],[4,7,8],[5],[6]] generating graphics... => 16
[[1,4,6],[2,5,8],[3],[7]] generating graphics... => 5
[[1,3,6],[2,5,8],[4],[7]] generating graphics... => 0
[[1,2,6],[3,5,8],[4],[7]] generating graphics... => 13
[[1,3,6],[2,4,8],[5],[7]] generating graphics... => 0
[[1,2,6],[3,4,8],[5],[7]] generating graphics... => 9
[[1,4,5],[2,6,8],[3],[7]] generating graphics... => 5
[[1,3,5],[2,6,8],[4],[7]] generating graphics... => 0
[[1,2,5],[3,6,8],[4],[7]] generating graphics... => 13
[[1,3,4],[2,6,8],[5],[7]] generating graphics... => 0
[[1,2,4],[3,6,8],[5],[7]] generating graphics... => 9
[[1,2,3],[4,6,8],[5],[7]] generating graphics... => 19
[[1,3,5],[2,4,8],[6],[7]] generating graphics... => 0
[[1,2,5],[3,4,8],[6],[7]] generating graphics... => 9
[[1,3,4],[2,5,8],[6],[7]] generating graphics... => 0
[[1,2,4],[3,5,8],[6],[7]] generating graphics... => 9
[[1,2,3],[4,5,8],[6],[7]] generating graphics... => 16
[[1,4,6],[2,5,7],[3],[8]] generating graphics... => 5
[[1,3,6],[2,5,7],[4],[8]] generating graphics... => 0
[[1,2,6],[3,5,7],[4],[8]] generating graphics... => 13
[[1,3,6],[2,4,7],[5],[8]] generating graphics... => 0
[[1,2,6],[3,4,7],[5],[8]] generating graphics... => 9
[[1,4,5],[2,6,7],[3],[8]] generating graphics... => 5
[[1,3,5],[2,6,7],[4],[8]] generating graphics... => 0
[[1,2,5],[3,6,7],[4],[8]] generating graphics... => 13
[[1,3,4],[2,6,7],[5],[8]] generating graphics... => 0
[[1,2,4],[3,6,7],[5],[8]] generating graphics... => 9
[[1,2,3],[4,6,7],[5],[8]] generating graphics... => 19
[[1,3,5],[2,4,7],[6],[8]] generating graphics... => 0
[[1,2,5],[3,4,7],[6],[8]] generating graphics... => 9
[[1,3,4],[2,5,7],[6],[8]] generating graphics... => 0
[[1,2,4],[3,5,7],[6],[8]] generating graphics... => 9
[[1,2,3],[4,5,7],[6],[8]] generating graphics... => 16
[[1,3,5],[2,4,6],[7],[8]] generating graphics... => 0
[[1,2,5],[3,4,6],[7],[8]] generating graphics... => 9
[[1,3,4],[2,5,6],[7],[8]] generating graphics... => 0
[[1,2,4],[3,5,6],[7],[8]] generating graphics... => 9
[[1,2,3],[4,5,6],[7],[8]] generating graphics... => 16
[[1,5,8],[2,6],[3,7],[4]] generating graphics... => 0
[[1,4,8],[2,6],[3,7],[5]] generating graphics... => 5
[[1,3,8],[2,6],[4,7],[5]] generating graphics... => 0
[[1,2,8],[3,6],[4,7],[5]] generating graphics... => 7
[[1,4,8],[2,5],[3,7],[6]] generating graphics... => 5
[[1,3,8],[2,5],[4,7],[6]] generating graphics... => 0
[[1,2,8],[3,5],[4,7],[6]] generating graphics... => 11
[[1,3,8],[2,4],[5,7],[6]] generating graphics... => 0
[[1,2,8],[3,4],[5,7],[6]] generating graphics... => 7
[[1,4,8],[2,5],[3,6],[7]] generating graphics... => 7
[[1,3,8],[2,5],[4,6],[7]] generating graphics... => 0
[[1,2,8],[3,5],[4,6],[7]] generating graphics... => 11
[[1,3,8],[2,4],[5,6],[7]] generating graphics... => 0
[[1,2,8],[3,4],[5,6],[7]] generating graphics... => 7
[[1,5,7],[2,6],[3,8],[4]] generating graphics... => 0
[[1,4,7],[2,6],[3,8],[5]] generating graphics... => 5
[[1,3,7],[2,6],[4,8],[5]] generating graphics... => 0
[[1,2,7],[3,6],[4,8],[5]] generating graphics... => 7
[[1,4,7],[2,5],[3,8],[6]] generating graphics... => 5
[[1,3,7],[2,5],[4,8],[6]] generating graphics... => 0
[[1,2,7],[3,5],[4,8],[6]] generating graphics... => 11
[[1,3,7],[2,4],[5,8],[6]] generating graphics... => 0
[[1,2,7],[3,4],[5,8],[6]] generating graphics... => 7
[[1,5,6],[2,7],[3,8],[4]] generating graphics... => 0
[[1,4,6],[2,7],[3,8],[5]] generating graphics... => 5
[[1,3,6],[2,7],[4,8],[5]] generating graphics... => 0
[[1,2,6],[3,7],[4,8],[5]] generating graphics... => 10
[[1,4,5],[2,7],[3,8],[6]] generating graphics... => 5
[[1,3,5],[2,7],[4,8],[6]] generating graphics... => 0
[[1,2,5],[3,7],[4,8],[6]] generating graphics... => 14
[[1,3,4],[2,7],[5,8],[6]] generating graphics... => 0
[[1,2,4],[3,7],[5,8],[6]] generating graphics... => 10
[[1,2,3],[4,7],[5,8],[6]] generating graphics... => 16
[[1,4,6],[2,5],[3,8],[7]] generating graphics... => 5
[[1,3,6],[2,5],[4,8],[7]] generating graphics... => 0
[[1,2,6],[3,5],[4,8],[7]] generating graphics... => 11
[[1,3,6],[2,4],[5,8],[7]] generating graphics... => 0
[[1,2,6],[3,4],[5,8],[7]] generating graphics... => 7
[[1,4,5],[2,6],[3,8],[7]] generating graphics... => 5
[[1,3,5],[2,6],[4,8],[7]] generating graphics... => 0
[[1,2,5],[3,6],[4,8],[7]] generating graphics... => 14
[[1,3,4],[2,6],[5,8],[7]] generating graphics... => 0
[[1,2,4],[3,6],[5,8],[7]] generating graphics... => 10
[[1,2,3],[4,6],[5,8],[7]] generating graphics... => 19
[[1,3,5],[2,4],[6,8],[7]] generating graphics... => 0
[[1,2,5],[3,4],[6,8],[7]] generating graphics... => 7
[[1,3,4],[2,5],[6,8],[7]] generating graphics... => 0
[[1,2,4],[3,5],[6,8],[7]] generating graphics... => 10
[[1,2,3],[4,5],[6,8],[7]] generating graphics... => 16
[[1,4,7],[2,5],[3,6],[8]] generating graphics... => 7
[[1,3,7],[2,5],[4,6],[8]] generating graphics... => 0
[[1,2,7],[3,5],[4,6],[8]] generating graphics... => 11
[[1,3,7],[2,4],[5,6],[8]] generating graphics... => 0
[[1,2,7],[3,4],[5,6],[8]] generating graphics... => 7
[[1,4,6],[2,5],[3,7],[8]] generating graphics... => 7
[[1,3,6],[2,5],[4,7],[8]] generating graphics... => 0
[[1,2,6],[3,5],[4,7],[8]] generating graphics... => 11
[[1,3,6],[2,4],[5,7],[8]] generating graphics... => 0
[[1,2,6],[3,4],[5,7],[8]] generating graphics... => 7
[[1,4,5],[2,6],[3,7],[8]] generating graphics... => 7
[[1,3,5],[2,6],[4,7],[8]] generating graphics... => 0
[[1,2,5],[3,6],[4,7],[8]] generating graphics... => 16
[[1,3,4],[2,6],[5,7],[8]] generating graphics... => 0
[[1,2,4],[3,6],[5,7],[8]] generating graphics... => 10
[[1,2,3],[4,6],[5,7],[8]] generating graphics... => 19
[[1,3,5],[2,4],[6,7],[8]] generating graphics... => 0
[[1,2,5],[3,4],[6,7],[8]] generating graphics... => 7
[[1,3,4],[2,5],[6,7],[8]] generating graphics... => 0
[[1,2,4],[3,5],[6,7],[8]] generating graphics... => 10
[[1,2,3],[4,5],[6,7],[8]] generating graphics... => 16
[[1,6,8],[2,7],[3],[4],[5]] generating graphics... => 4
[[1,5,8],[2,7],[3],[4],[6]] generating graphics... => 0
[[1,4,8],[2,7],[3],[5],[6]] generating graphics... => 4
[[1,3,8],[2,7],[4],[5],[6]] generating graphics... => 0
[[1,2,8],[3,7],[4],[5],[6]] generating graphics... => 11
[[1,5,8],[2,6],[3],[4],[7]] generating graphics... => 0
[[1,4,8],[2,6],[3],[5],[7]] generating graphics... => 4
[[1,3,8],[2,6],[4],[5],[7]] generating graphics... => 0
[[1,2,8],[3,6],[4],[5],[7]] generating graphics... => 8
[[1,4,8],[2,5],[3],[6],[7]] generating graphics... => 4
[[1,3,8],[2,5],[4],[6],[7]] generating graphics... => 0
[[1,2,8],[3,5],[4],[6],[7]] generating graphics... => 11
[[1,3,8],[2,4],[5],[6],[7]] generating graphics... => 0
[[1,2,8],[3,4],[5],[6],[7]] generating graphics... => 8
[[1,6,7],[2,8],[3],[4],[5]] generating graphics... => 4
[[1,5,7],[2,8],[3],[4],[6]] generating graphics... => 0
[[1,4,7],[2,8],[3],[5],[6]] generating graphics... => 4
[[1,3,7],[2,8],[4],[5],[6]] generating graphics... => 0
[[1,2,7],[3,8],[4],[5],[6]] generating graphics... => 13
[[1,5,6],[2,8],[3],[4],[7]] generating graphics... => 0
[[1,4,6],[2,8],[3],[5],[7]] generating graphics... => 4
[[1,3,6],[2,8],[4],[5],[7]] generating graphics... => 0
[[1,2,6],[3,8],[4],[5],[7]] generating graphics... => 10
[[1,4,5],[2,8],[3],[6],[7]] generating graphics... => 4
[[1,3,5],[2,8],[4],[6],[7]] generating graphics... => 0
[[1,2,5],[3,8],[4],[6],[7]] generating graphics... => 13
[[1,3,4],[2,8],[5],[6],[7]] generating graphics... => 0
[[1,2,4],[3,8],[5],[6],[7]] generating graphics... => 10
[[1,2,3],[4,8],[5],[6],[7]] generating graphics... => 19
[[1,5,7],[2,6],[3],[4],[8]] generating graphics... => 0
[[1,4,7],[2,6],[3],[5],[8]] generating graphics... => 4
[[1,3,7],[2,6],[4],[5],[8]] generating graphics... => 0
[[1,2,7],[3,6],[4],[5],[8]] generating graphics... => 8
[[1,4,7],[2,5],[3],[6],[8]] generating graphics... => 4
[[1,3,7],[2,5],[4],[6],[8]] generating graphics... => 0
[[1,2,7],[3,5],[4],[6],[8]] generating graphics... => 11
[[1,3,7],[2,4],[5],[6],[8]] generating graphics... => 0
[[1,2,7],[3,4],[5],[6],[8]] generating graphics... => 8
[[1,5,6],[2,7],[3],[4],[8]] generating graphics... => 0
[[1,4,6],[2,7],[3],[5],[8]] generating graphics... => 4
[[1,3,6],[2,7],[4],[5],[8]] generating graphics... => 0
[[1,2,6],[3,7],[4],[5],[8]] generating graphics... => 10
[[1,4,5],[2,7],[3],[6],[8]] generating graphics... => 4
[[1,3,5],[2,7],[4],[6],[8]] generating graphics... => 0
[[1,2,5],[3,7],[4],[6],[8]] generating graphics... => 13
[[1,3,4],[2,7],[5],[6],[8]] generating graphics... => 0
[[1,2,4],[3,7],[5],[6],[8]] generating graphics... => 10
[[1,2,3],[4,7],[5],[6],[8]] generating graphics... => 17
[[1,4,6],[2,5],[3],[7],[8]] generating graphics... => 4
[[1,3,6],[2,5],[4],[7],[8]] generating graphics... => 0
[[1,2,6],[3,5],[4],[7],[8]] generating graphics... => 11
[[1,3,6],[2,4],[5],[7],[8]] generating graphics... => 0
[[1,2,6],[3,4],[5],[7],[8]] generating graphics... => 8
[[1,4,5],[2,6],[3],[7],[8]] generating graphics... => 4
[[1,3,5],[2,6],[4],[7],[8]] generating graphics... => 0
[[1,2,5],[3,6],[4],[7],[8]] generating graphics... => 13
[[1,3,4],[2,6],[5],[7],[8]] generating graphics... => 0
[[1,2,4],[3,6],[5],[7],[8]] generating graphics... => 10
[[1,2,3],[4,6],[5],[7],[8]] generating graphics... => 19
[[1,3,5],[2,4],[6],[7],[8]] generating graphics... => 0
[[1,2,5],[3,4],[6],[7],[8]] generating graphics... => 8
[[1,3,4],[2,5],[6],[7],[8]] generating graphics... => 0
[[1,2,4],[3,5],[6],[7],[8]] generating graphics... => 10
[[1,2,3],[4,5],[6],[7],[8]] generating graphics... => 17
[[1,7,8],[2],[3],[4],[5],[6]] generating graphics... => 0
[[1,6,8],[2],[3],[4],[5],[7]] generating graphics... => 3
[[1,5,8],[2],[3],[4],[6],[7]] generating graphics... => 0
[[1,4,8],[2],[3],[5],[6],[7]] generating graphics... => 3
[[1,3,8],[2],[4],[5],[6],[7]] generating graphics... => 0
[[1,2,8],[3],[4],[5],[6],[7]] generating graphics... => 10
[[1,6,7],[2],[3],[4],[5],[8]] generating graphics... => 3
[[1,5,7],[2],[3],[4],[6],[8]] generating graphics... => 0
[[1,4,7],[2],[3],[5],[6],[8]] generating graphics... => 3
[[1,3,7],[2],[4],[5],[6],[8]] generating graphics... => 0
[[1,2,7],[3],[4],[5],[6],[8]] generating graphics... => 12
[[1,5,6],[2],[3],[4],[7],[8]] generating graphics... => 0
[[1,4,6],[2],[3],[5],[7],[8]] generating graphics... => 3
[[1,3,6],[2],[4],[5],[7],[8]] generating graphics... => 0
[[1,2,6],[3],[4],[5],[7],[8]] generating graphics... => 10
[[1,4,5],[2],[3],[6],[7],[8]] generating graphics... => 3
[[1,3,5],[2],[4],[6],[7],[8]] generating graphics... => 0
[[1,2,5],[3],[4],[6],[7],[8]] generating graphics... => 12
[[1,3,4],[2],[5],[6],[7],[8]] generating graphics... => 0
[[1,2,4],[3],[5],[6],[7],[8]] generating graphics... => 10
[[1,2,3],[4],[5],[6],[7],[8]] generating graphics... => 18
[[1,5],[2,6],[3,7],[4,8]] generating graphics... => 0
[[1,4],[2,6],[3,7],[5,8]] generating graphics... => 6
[[1,3],[2,6],[4,7],[5,8]] generating graphics... => 0
[[1,2],[3,6],[4,7],[5,8]] generating graphics... => 6
[[1,4],[2,5],[3,7],[6,8]] generating graphics... => 6
[[1,3],[2,5],[4,7],[6,8]] generating graphics... => 0
[[1,2],[3,5],[4,7],[6,8]] generating graphics... => 10
[[1,3],[2,4],[5,7],[6,8]] generating graphics... => 0
[[1,2],[3,4],[5,7],[6,8]] generating graphics... => 6
[[1,4],[2,5],[3,6],[7,8]] generating graphics... => 6
[[1,3],[2,5],[4,6],[7,8]] generating graphics... => 0
[[1,2],[3,5],[4,6],[7,8]] generating graphics... => 10
[[1,3],[2,4],[5,6],[7,8]] generating graphics... => 0
[[1,2],[3,4],[5,6],[7,8]] generating graphics... => 6
[[1,6],[2,7],[3,8],[4],[5]] generating graphics... => 4
[[1,5],[2,7],[3,8],[4],[6]] generating graphics... => 0
[[1,4],[2,7],[3,8],[5],[6]] generating graphics... => 4
[[1,3],[2,7],[4,8],[5],[6]] generating graphics... => 0
[[1,2],[3,7],[4,8],[5],[6]] generating graphics... => 10
[[1,5],[2,6],[3,8],[4],[7]] generating graphics... => 0
[[1,4],[2,6],[3,8],[5],[7]] generating graphics... => 4
[[1,3],[2,6],[4,8],[5],[7]] generating graphics... => 0
[[1,2],[3,6],[4,8],[5],[7]] generating graphics... => 7
[[1,4],[2,5],[3,8],[6],[7]] generating graphics... => 4
[[1,3],[2,5],[4,8],[6],[7]] generating graphics... => 0
[[1,2],[3,5],[4,8],[6],[7]] generating graphics... => 10
[[1,3],[2,4],[5,8],[6],[7]] generating graphics... => 0
[[1,2],[3,4],[5,8],[6],[7]] generating graphics... => 7
[[1,5],[2,6],[3,7],[4],[8]] generating graphics... => 0
[[1,4],[2,6],[3,7],[5],[8]] generating graphics... => 4
[[1,3],[2,6],[4,7],[5],[8]] generating graphics... => 0
[[1,2],[3,6],[4,7],[5],[8]] generating graphics... => 7
[[1,4],[2,5],[3,7],[6],[8]] generating graphics... => 4
[[1,3],[2,5],[4,7],[6],[8]] generating graphics... => 0
[[1,2],[3,5],[4,7],[6],[8]] generating graphics... => 10
[[1,3],[2,4],[5,7],[6],[8]] generating graphics... => 0
[[1,2],[3,4],[5,7],[6],[8]] generating graphics... => 7
[[1,4],[2,5],[3,6],[7],[8]] generating graphics... => 7
[[1,3],[2,5],[4,6],[7],[8]] generating graphics... => 0
[[1,2],[3,5],[4,6],[7],[8]] generating graphics... => 10
[[1,3],[2,4],[5,6],[7],[8]] generating graphics... => 0
[[1,2],[3,4],[5,6],[7],[8]] generating graphics... => 7
[[1,7],[2,8],[3],[4],[5],[6]] generating graphics... => 0
[[1,6],[2,8],[3],[4],[5],[7]] generating graphics... => 3
[[1,5],[2,8],[3],[4],[6],[7]] generating graphics... => 0
[[1,4],[2,8],[3],[5],[6],[7]] generating graphics... => 3
[[1,3],[2,8],[4],[5],[6],[7]] generating graphics... => 0
[[1,2],[3,8],[4],[5],[6],[7]] generating graphics... => 8
[[1,6],[2,7],[3],[4],[5],[8]] generating graphics... => 3
[[1,5],[2,7],[3],[4],[6],[8]] generating graphics... => 0
[[1,4],[2,7],[3],[5],[6],[8]] generating graphics... => 3
[[1,3],[2,7],[4],[5],[6],[8]] generating graphics... => 0
[[1,2],[3,7],[4],[5],[6],[8]] generating graphics... => 10
[[1,5],[2,6],[3],[4],[7],[8]] generating graphics... => 0
[[1,4],[2,6],[3],[5],[7],[8]] generating graphics... => 3
[[1,3],[2,6],[4],[5],[7],[8]] generating graphics... => 0
[[1,2],[3,6],[4],[5],[7],[8]] generating graphics... => 8
[[1,4],[2,5],[3],[6],[7],[8]] generating graphics... => 3
[[1,3],[2,5],[4],[6],[7],[8]] generating graphics... => 0
[[1,2],[3,5],[4],[6],[7],[8]] generating graphics... => 10
[[1,3],[2,4],[5],[6],[7],[8]] generating graphics... => 0
[[1,2],[3,4],[5],[6],[7],[8]] generating graphics... => 8
[[1,8],[2],[3],[4],[5],[6],[7]] generating graphics... => 2
[[1,7],[2],[3],[4],[5],[6],[8]] generating graphics... => 0
[[1,6],[2],[3],[4],[5],[7],[8]] generating graphics... => 2
[[1,5],[2],[3],[4],[6],[7],[8]] generating graphics... => 0
[[1,4],[2],[3],[5],[6],[7],[8]] generating graphics... => 2
[[1,3],[2],[4],[5],[6],[7],[8]] generating graphics... => 0
[[1,2],[3],[4],[5],[6],[7],[8]] generating graphics... => 10
[[1],[2],[3],[4],[5],[6],[7],[8]] generating graphics... => 0
[[1,2,3,4,5,6,7,8,9]] generating graphics... => 81
[[1,3,4,5,6,7,8,9],[2]] generating graphics... => 0
[[1,2,4,5,6,7,8,9],[3]] generating graphics... => 16
[[1,2,3,5,6,7,8,9],[4]] generating graphics... => 30
[[1,2,3,4,6,7,8,9],[5]] generating graphics... => 42
[[1,2,3,4,5,7,8,9],[6]] generating graphics... => 52
[[1,2,3,4,5,6,8,9],[7]] generating graphics... => 60
[[1,2,3,4,5,6,7,9],[8]] generating graphics... => 66
[[1,2,3,4,5,6,7,8],[9]] generating graphics... => 70
[[1,3,5,6,7,8,9],[2,4]] generating graphics... => 0
[[1,2,5,6,7,8,9],[3,4]] generating graphics... => 9
[[1,3,4,6,7,8,9],[2,5]] generating graphics... => 0
[[1,2,4,6,7,8,9],[3,5]] generating graphics... => 15
[[1,2,3,6,7,8,9],[4,5]] generating graphics... => 23
[[1,3,4,5,7,8,9],[2,6]] generating graphics... => 0
[[1,2,4,5,7,8,9],[3,6]] generating graphics... => 15
[[1,2,3,5,7,8,9],[4,6]] generating graphics... => 28
[[1,2,3,4,7,8,9],[5,6]] generating graphics... => 35
[[1,3,4,5,6,8,9],[2,7]] generating graphics... => 0
[[1,2,4,5,6,8,9],[3,7]] generating graphics... => 15
[[1,2,3,5,6,8,9],[4,7]] generating graphics... => 28
[[1,2,3,4,6,8,9],[5,7]] generating graphics... => 39
[[1,2,3,4,5,8,9],[6,7]] generating graphics... => 45
[[1,3,4,5,6,7,9],[2,8]] generating graphics... => 0
[[1,2,4,5,6,7,9],[3,8]] generating graphics... => 15
[[1,2,3,5,6,7,9],[4,8]] generating graphics... => 28
[[1,2,3,4,6,7,9],[5,8]] generating graphics... => 39
[[1,2,3,4,5,7,9],[6,8]] generating graphics... => 48
[[1,2,3,4,5,6,9],[7,8]] generating graphics... => 53
[[1,3,4,5,6,7,8],[2,9]] generating graphics... => 0
[[1,2,4,5,6,7,8],[3,9]] generating graphics... => 15
[[1,2,3,5,6,7,8],[4,9]] generating graphics... => 28
[[1,2,3,4,6,7,8],[5,9]] generating graphics... => 39
[[1,2,3,4,5,7,8],[6,9]] generating graphics... => 48
[[1,2,3,4,5,6,8],[7,9]] generating graphics... => 55
[[1,2,3,4,5,6,7],[8,9]] generating graphics... => 59
[[1,4,5,6,7,8,9],[2],[3]] generating graphics... => 7
[[1,3,5,6,7,8,9],[2],[4]] generating graphics... => 0
[[1,2,5,6,7,8,9],[3],[4]] generating graphics... => 21
[[1,3,4,6,7,8,9],[2],[5]] generating graphics... => 0
[[1,2,4,6,7,8,9],[3],[5]] generating graphics... => 15
[[1,2,3,6,7,8,9],[4],[5]] generating graphics... => 33
[[1,3,4,5,7,8,9],[2],[6]] generating graphics... => 0
[[1,2,4,5,7,8,9],[3],[6]] generating graphics... => 15
[[1,2,3,5,7,8,9],[4],[6]] generating graphics... => 28
[[1,2,3,4,7,8,9],[5],[6]] generating graphics... => 43
[[1,3,4,5,6,8,9],[2],[7]] generating graphics... => 0
[[1,2,4,5,6,8,9],[3],[7]] generating graphics... => 15
[[1,2,3,5,6,8,9],[4],[7]] generating graphics... => 28
[[1,2,3,4,6,8,9],[5],[7]] generating graphics... => 39
[[1,2,3,4,5,8,9],[6],[7]] generating graphics... => 51
[[1,3,4,5,6,7,9],[2],[8]] generating graphics... => 0
[[1,2,4,5,6,7,9],[3],[8]] generating graphics... => 15
[[1,2,3,5,6,7,9],[4],[8]] generating graphics... => 28
[[1,2,3,4,6,7,9],[5],[8]] generating graphics... => 39
[[1,2,3,4,5,7,9],[6],[8]] generating graphics... => 48
[[1,2,3,4,5,6,9],[7],[8]] generating graphics... => 57
[[1,3,4,5,6,7,8],[2],[9]] generating graphics... => 0
[[1,2,4,5,6,7,8],[3],[9]] generating graphics... => 15
[[1,2,3,5,6,7,8],[4],[9]] generating graphics... => 28
[[1,2,3,4,6,7,8],[5],[9]] generating graphics... => 39
[[1,2,3,4,5,7,8],[6],[9]] generating graphics... => 48
[[1,2,3,4,5,6,8],[7],[9]] generating graphics... => 55
[[1,2,3,4,5,6,7],[8],[9]] generating graphics... => 61
[[1,3,5,7,8,9],[2,4,6]] generating graphics... => 0
[[1,2,5,7,8,9],[3,4,6]] generating graphics... => 10
[[1,3,4,7,8,9],[2,5,6]] generating graphics... => 0
[[1,2,4,7,8,9],[3,5,6]] generating graphics... => 10
[[1,2,3,7,8,9],[4,5,6]] generating graphics... => 18
[[1,3,5,6,8,9],[2,4,7]] generating graphics... => 0
[[1,2,5,6,8,9],[3,4,7]] generating graphics... => 10
[[1,3,4,6,8,9],[2,5,7]] generating graphics... => 0
[[1,2,4,6,8,9],[3,5,7]] generating graphics... => 14
[[1,2,3,6,8,9],[4,5,7]] generating graphics... => 23
[[1,3,4,5,8,9],[2,6,7]] generating graphics... => 0
[[1,2,4,5,8,9],[3,6,7]] generating graphics... => 14
[[1,2,3,5,8,9],[4,6,7]] generating graphics... => 23
[[1,2,3,4,8,9],[5,6,7]] generating graphics... => 30
[[1,3,5,6,7,9],[2,4,8]] generating graphics... => 0
[[1,2,5,6,7,9],[3,4,8]] generating graphics... => 10
[[1,3,4,6,7,9],[2,5,8]] generating graphics... => 0
[[1,2,4,6,7,9],[3,5,8]] generating graphics... => 14
[[1,2,3,6,7,9],[4,5,8]] generating graphics... => 23
[[1,3,4,5,7,9],[2,6,8]] generating graphics... => 0
[[1,2,4,5,7,9],[3,6,8]] generating graphics... => 14
[[1,2,3,5,7,9],[4,6,8]] generating graphics... => 26
click to show generating function       
Description
Eigenvalues of the random-to-random operator acting on a simple module.
The simple module of the symmetric group indexed by a partition $\lambda$ has dimension equal to the number of standard tableaux of shape $\lambda$. Hence, the eigenvalues of any linear operator defined on this module can be indexed by standard tableaux of shape $\lambda$; this statistic gives all the eigenvalues of the operator acting on the module [1].
References
[1] Dieker, A. B., Saliola, F. Spectral analysis of random-to-random Markov chains arXiv:1509.08580
[2] Eigenvalues of the random-to-random operator acting on the regular representation St000500Eigenvalues of the random-to-random operator acting on the regular representation....
[3] The largest eigenvalue of the random to random operator acting on the simple module corresponding to the given partition St000046The largest eigenvalue of the random to random operator acting on the simple modu....
Code
def diagonal_index_of_partition(la):
    return sum((j - i) for (i, j) in la.cells())

def binomial_shifted_diagonal_index_of_partition(partition):
    return binomial(partition.size() + 1, 2) + diagonal_index_of_partition(partition)

def is_desarrangement_tableau(t):
    if t.size() == 0:
        return True
    descents = t.standard_descents()
    ascents = [i for i in t.entries() if i not in descents]
    return min(ascents) % 2 == 0

def r2r_statistic_on_standard_tableaux(t):
    # remove 1 and rectify until we get a desarrangement tableau
    s = copy(t)
    while not is_desarrangement_tableau(s):
        s = SkewTableau([[(i-1 if i > 1 else None) for i in row] for row in s])
        s = StandardTableau(s.rectify())
    return binomial_shifted_diagonal_index_of_partition(t.shape()) \
           - binomial_shifted_diagonal_index_of_partition(s.shape())

def statistic(t):
    return r2r_statistic_on_standard_tableaux(t)
Created
May 25, 2016 at 18:06 by Franco Saliola
Updated
Dec 30, 2016 at 10:33 by Christian Stump