18, 6, 5, 7 Wheel

[BushHappy]

Here is a 18, 6, 5, 7 Wheel in 232 Lines. This is the best I could do. I am sure it can be reduced to below 232. Can anyone assist?

1 2 3 4 10 16
1 2 3 6 7 11
1 2 3 12 13 17
1 2 4 5 8 12
1 2 4 6 14 16
1 2 4 7 9 12
1 2 4 9 17 18
1 2 4 10 11 15
1 2 5 7 13 17
1 2 5 7 14 15
1 2 5 11 14 18
1 2 6 9 12 13
1 2 6 12 15 17
1 2 7 8 15 17
1 2 8 9 13 15
1 2 8 10 11 16
1 2 8 10 12 17
1 2 9 14 16 17
1 2 10 11 17 18
1 2 10 12 14 18
1 2 10 13 15 18
1 3 4 5 6 8
1 3 4 5 9 11
1 3 4 6 9 15
1 3 4 7 13 14
1 3 4 12 13 18
1 3 5 6 15 16
1 3 5 7 8 14
1 3 5 7 11 18
1 3 5 10 14 17
1 3 5 11 16 17
1 3 5 12 16 17
1 3 5 13 14 15
1 3 6 7 9 16
1 3 6 8 10 18
1 3 6 11 12 18
1 3 6 12 14 17
1 3 6 16 17 18
1 3 7 9 13 17
1 3 7 10 12 15
1 3 8 9 11 18
1 3 9 12 14 15
1 3 11 15 16 18
1 3 14 15 17 18
1 4 5 6 13 15
1 4 5 9 15 17
1 4 6 9 11 14
1 4 6 12 17 18
1 4 7 8 11 15
1 4 7 8 14 17
1 4 7 9 10 18
1 4 7 11 13 16
1 4 8 10 13 17
1 4 8 13 16 18
1 4 9 10 14 16
1 4 10 11 12 16
1 5 6 7 10 13
1 5 6 7 10 18
1 5 6 8 9 17
1 5 7 8 16 18
1 5 9 10 12 18
1 5 9 10 13 16
1 5 9 13 14 18
1 5 10 11 13 15
1 5 11 12 13 15
1 6 7 8 12 18
1 6 7 14 15 18
1 6 8 10 12 14
1 6 8 11 13 17
1 6 10 15 16 17
1 6 11 13 16 17
1 7 8 9 12 13
1 7 10 11 12 17
1 7 11 12 14 18
1 7 12 15 16 18
1 8 9 14 15 16
1 8 12 13 14 16
1 9 10 11 14 17
1 9 13 15 16 17
1 10 11 13 14 15
2 3 4 6 17 18
2 3 4 7 8 14
2 3 4 8 11 14
2 3 4 9 13 15
2 3 4 12 14 15
2 3 5 6 8 13
2 3 5 6 9 14
2 3 5 7 9 10
2 3 5 8 9 17
2 3 5 8 12 18
2 3 6 9 10 15
2 3 7 9 13 18
2 3 7 12 14 16
2 3 7 12 17 18
2 3 8 10 14 16
2 3 8 10 14 18
2 3 8 12 13 15
2 3 8 15 16 18
2 3 9 11 13 17
2 3 11 12 14 15
2 4 5 7 11 17
2 4 5 8 9 10
2 4 6 7 8 18
2 4 6 7 13 16
2 4 6 8 10 17
2 4 6 8 14 15
2 4 6 11 12 16
2 4 7 10 12 13
2 4 7 10 13 16
2 4 7 11 12 16
2 4 8 14 16 17
2 4 9 11 15 16
2 4 9 12 14 17
2 4 11 12 13 18
2 5 6 7 11 15
2 5 6 9 15 18
2 5 7 8 9 12
2 5 7 13 16 18
2 5 8 9 12 17
2 5 9 11 16 18
2 5 10 11 12 13
2 5 10 12 15 16
2 5 10 13 14 17
2 5 15 16 17 18
2 6 7 8 16 17
2 6 7 9 16 17
2 6 7 10 13 14
2 6 8 11 12 13
2 6 9 10 11 12
2 6 10 12 16 18
2 6 11 14 15 17
2 7 8 9 14 18
2 7 8 11 13 16
2 7 9 10 11 15
2 7 12 14 15 17
2 8 9 10 11 17
2 9 12 13 16 18
2 11 13 14 15 16
3 4 5 7 15 18
3 4 5 9 14 18
3 4 5 13 14 16
3 4 6 7 11 12
3 4 6 8 9 13
3 4 6 8 12 16
3 4 6 10 14 15
3 4 7 8 10 17
3 4 8 11 14 17
3 4 9 13 15 16
3 4 10 11 16 18
3 4 10 12 15 17
3 5 6 8 10 15
3 5 6 10 12 14
3 5 6 11 17 18
3 5 7 10 13 18
3 5 8 10 11 15
3 5 8 10 13 15
3 5 9 11 12 16
3 5 12 13 17 18
3 6 7 8 14 15
3 6 9 10 15 17
3 6 10 11 16 17
3 6 11 13 15 18
3 6 13 14 16 18
3 7 8 9 11 16
3 7 8 10 12 13
3 7 9 10 16 18
3 7 11 14 15 17
3 7 13 15 16 17
3 8 9 12 16 17
3 9 10 11 13 14
3 10 11 12 13 18
4 5 6 7 9 15
4 5 6 9 16 17
4 5 6 10 11 13
4 5 6 10 12 18
4 5 7 8 10 16
4 5 7 8 13 17
4 5 7 12 14 16
4 5 8 11 13 18
4 5 8 15 16 17
4 5 9 12 13 17
4 5 10 11 12 14
4 5 10 14 15 18
4 6 7 8 9 16
4 6 7 10 15 17
4 6 8 9 13 14
4 6 11 14 16 18
4 7 10 11 13 16
4 7 13 14 15 18
4 7 14 16 17 18
4 8 9 10 12 15
4 8 9 11 17 18
4 9 10 12 14 18
4 9 11 12 15 18
4 11 13 14 15 17
4 12 13 15 16 17
5 6 7 11 12 16
5 6 7 12 14 17
5 6 8 9 10 11
5 6 8 11 14 16
5 6 9 14 15 16
5 6 12 13 14 18
5 7 8 9 12 18
5 7 8 10 12 15
5 7 9 11 13 14
5 7 9 11 15 17
5 8 9 13 14 15
5 8 10 16 17 18
5 8 11 12 15 17
5 8 11 13 16 18
5 11 12 14 15 16
6 7 8 9 10 11
6 7 9 12 13 15
6 7 9 14 17 18
6 8 9 12 16 18
6 8 10 13 15 16
6 8 11 12 15 18
6 8 13 14 17 18
6 9 10 13 14 18
6 9 11 15 16 18
6 10 12 13 16 17
7 8 10 11 14 18
7 8 13 15 17 18
7 9 10 14 16 17
7 9 11 13 17 18
7 10 11 14 15 16
8 9 11 12 13 14
8 12 14 15 17 18
9 10 12 14 15 16
9 10 13 15 17 18
10 13 14 16 17 18
11 12 14 16 17 18

Cheers,
BushHappy

 

[Brad]

Rade Belic lists 18,6,5,7=213 on his site.
That's probably the lowest full cover you'll get. He doesn't have that wheel available for download
but if you have CoverMaster you can come down to 218 (or a maybe a bit lower with patience).
Others here may step up with a better wheel than the one below.

CM(18,6,5,7)=218

1 2 3 5 11 15
1 2 3 7 12 17
1 2 3 9 10 18
1 2 3 10 12 14
1 2 3 14 17 18
1 2 3 15 16 17
1 2 4 10 15 16
1 2 4 11 13 14
1 2 4 12 15 18
1 2 5 6 8 17
1 2 5 6 16 18
1 2 5 8 12 13
1 2 6 7 11 15
1 2 6 10 13 16
1 2 7 8 9 16
1 2 7 8 10 18
1 2 7 14 16 17
1 2 8 9 11 18
1 2 9 10 12 17
1 3 4 6 14 16
1 3 4 7 14 15
1 3 4 8 13 15
1 3 4 9 10 12
1 3 4 9 11 16
1 3 5 6 10 18
1 3 5 7 8 17
1 3 5 8 11 14
1 3 5 9 11 13
1 3 5 9 13 14
1 3 5 12 13 16
1 3 6 8 12 18
1 3 6 9 11 17
1 3 7 10 13 17
1 3 7 15 16 18
1 4 5 6 7 12
1 4 5 8 16 18
1 4 5 9 13 18
1 4 6 12 16 17
1 4 6 13 14 17
1 4 7 9 11 15
1 4 7 11 13 16
1 4 8 10 12 14
1 4 10 11 17 18
1 4 10 15 16 17
1 4 13 14 16 18
1 5 6 9 10 14
1 5 6 9 10 15
1 5 7 10 11 14
1 5 7 10 11 16
1 5 7 15 17 18
1 5 9 10 16 18
1 5 9 12 17 18
1 5 10 13 16 18
1 5 11 13 15 17
1 5 12 14 15 16
1 6 7 8 9 10
1 6 7 8 14 18
1 6 7 9 13 14
1 6 8 9 11 16
1 6 8 14 15 16
1 6 11 12 13 18
1 7 9 12 14 18
1 8 9 13 16 17
1 8 9 14 15 17
1 8 10 11 12 15
1 8 12 13 16 17
1 9 12 13 15 16
1 10 13 14 15 18
1 11 12 14 16 17
2 3 4 5 8 9
2 3 4 6 11 12
2 3 4 7 8 11
2 3 4 7 13 18
2 3 5 6 7 11
2 3 5 6 12 15
2 3 5 7 10 16
2 3 5 13 15 17
2 3 6 8 10 17
2 3 6 9 13 15
2 3 6 9 14 18
2 3 6 11 12 16
2 3 7 9 10 11
2 3 8 10 16 18
2 3 8 11 13 15
2 3 8 12 13 14
2 3 8 15 16 17
2 3 9 10 13 18
2 4 5 6 11 15
2 4 5 10 14 17
2 4 5 11 16 17
2 4 6 7 9 10
2 4 6 8 13 18
2 4 6 8 15 16
2 4 7 9 12 15
2 4 7 10 11 13
2 4 8 10 12 16
2 4 9 13 16 17
2 4 9 14 15 17
2 4 10 12 14 18
2 5 6 7 12 18
2 5 6 12 13 14
2 5 7 8 14 15
2 5 7 10 13 15
2 5 7 11 14 18
2 5 8 14 16 18
2 5 9 11 12 17
2 5 9 15 16 18
2 5 10 11 12 13
2 6 7 14 16 17
2 6 8 9 12 14
2 6 8 10 11 14
2 6 9 12 17 18
2 6 10 11 15 17
2 7 8 11 12 17
2 7 8 15 17 18
2 7 9 10 15 18
2 7 9 13 15 17
2 7 11 13 17 18
2 7 12 13 14 16
2 8 9 10 13 17
2 8 11 15 16 18
2 9 11 14 15 16
2 10 12 15 17 18
2 11 12 13 16 18
3 4 5 6 10 13
3 4 5 7 9 14
3 4 5 10 11 18
3 4 5 10 15 17
3 4 5 11 12 18
3 4 6 7 13 15
3 4 6 7 17 18
3 4 6 10 11 18
3 4 8 14 15 18
3 4 9 12 15 16
3 4 10 12 14 17
3 4 11 13 16 17
3 5 6 7 9 12
3 5 6 8 14 17
3 5 6 9 16 17
3 5 7 11 15 16
3 5 8 9 12 15
3 5 8 10 14 15
3 5 10 12 16 17
3 5 12 13 17 18
3 6 7 8 9 13
3 6 7 8 12 16
3 6 7 10 12 15
3 6 7 13 14 18
3 6 10 11 14 15
3 6 11 13 14 16
3 7 8 9 17 18
3 7 11 12 14 15
3 8 9 10 14 16
3 8 10 11 13 18
3 9 11 13 14 17
3 9 11 15 17 18
3 9 12 13 16 18
3 10 11 14 16 18
3 10 13 14 15 16
3 12 14 16 17 18
4 5 7 8 9 17
4 5 7 8 13 17
4 5 7 14 16 17
4 5 8 9 10 11
4 5 9 12 14 16
4 5 12 13 17 18
4 5 13 14 15 16
4 6 8 9 15 18
4 6 8 10 13 14
4 6 9 11 14 16
4 6 9 12 13 17
4 6 12 15 16 18
4 7 8 9 14 16
4 7 8 10 15 16
4 7 8 11 12 14
4 7 8 12 13 15
4 7 9 16 17 18
4 7 10 13 16 18
4 7 10 14 15 18
4 8 9 11 12 17
4 8 11 12 15 17
4 8 12 14 17 18
4 9 10 11 13 18
4 9 11 14 17 18
4 10 11 12 13 15
5 6 7 9 11 18
5 6 7 9 13 16
5 6 8 9 15 18
5 6 8 10 15 16
5 6 8 11 13 16
5 6 9 10 11 12
5 6 11 12 14 15
5 6 11 14 15 18
5 7 8 10 12 18
5 7 8 13 15 18
5 7 11 13 14 17
5 8 10 15 17 18
5 8 11 16 17 18
5 9 10 12 13 14
5 10 13 14 17 18
6 7 8 11 15 17
6 7 10 11 12 17
6 7 11 15 16 18
6 8 10 12 13 17
6 9 10 16 17 18
6 9 12 14 15 16
6 10 12 14 16 18
6 12 13 14 15 17
6 13 15 16 17 18
7 8 9 11 12 13
7 8 13 14 15 16
7 9 10 14 15 17
7 9 12 15 16 17
7 10 11 12 16 18
8 9 11 13 14 18
8 10 11 14 16 17
9 10 11 13 15 16
9 10 12 13 15 18

Cheers

 

[BushHappy]

Brad,

Thanks for the improved wheel.

The wheel that I posted was also made with Covermaster.

PLease can you advise what tricks/techniques/settings you used to get down from 232 to 218?

Cheers,
BushHappy

 

[Brad]

No tricks, try it with 'Auto Optimize' enabled and you'll get a similar result. Run it a few times to see if it will go lower than 218, that's where the patience factor comes in.

Also, consider using an open wheel to reduce the lines even further. For example set the 'Required Cover' to 95% to get a further reduction to 135 lines (optimized). It's a compromise of course but it all depends on your playing budget.

Cheers

 

[Nick Koutras]

LD(18,6,5,7)=213

1 2 3 4 5 6
1 2 3 7 8 9
1 2 3 7 10 13
1 2 3 7 14 15
1 2 3 10 11 12
1 2 4 8 13 15
1 2 4 10 11 16
1 2 4 14 17 18
1 2 5 8 9 11
1 2 5 10 15 17
1 2 6 7 16 17
1 2 6 8 13 14
1 2 6 11 12 18
1 2 7 9 13 18
1 2 9 10 14 16
1 2 9 12 14 17
1 2 9 15 16 18
1 2 11 12 15 17
1 2 12 13 14 15
1 3 4 7 11 13
1 3 4 9 16 18
1 3 4 10 13 18
1 3 4 12 15 16
1 3 5 8 12 17
1 3 5 8 14 15
1 3 5 9 17 18
1 3 5 11 15 16
1 3 6 9 13 15
1 3 6 11 14 18
1 3 7 8 10 17
1 3 7 12 13 14
1 3 8 9 11 17
1 3 8 14 16 18
1 3 11 13 16 17
1 4 5 6 11 16
1 4 5 7 11 17
1 4 5 12 13 18
1 4 6 7 8 11
1 4 6 7 10 12
1 4 6 8 17 18
1 4 6 9 10 15
1 4 7 9 16 17
1 4 8 12 14 16
1 4 9 12 13 17
1 4 9 14 15 18
1 5 6 7 9 14
1 5 6 7 10 12
1 5 6 10 13 16
1 5 7 8 10 18
1 5 7 9 12 15
1 5 9 11 13 16
1 5 10 11 13 14
1 5 12 14 16 18
1 5 13 15 17 18
1 6 7 9 11 15
1 6 7 10 15 18
1 6 8 10 11 15
1 6 8 10 13 17
1 6 8 11 13 18
1 6 9 11 12 16
1 6 10 14 16 17
1 7 8 11 12 14
1 7 8 13 15 16
1 7 11 13 16 18
1 7 14 15 17 18
1 8 9 10 12 18
1 8 10 12 15 16
1 8 13 14 16 17
1 9 10 11 14 17
2 3 4 5 15 16
2 3 4 7 8 10
2 3 4 9 13 14
2 3 4 12 15 18
2 3 5 7 11 12
2 3 5 8 14 17
2 3 5 8 16 18
2 3 6 7 9 10
2 3 6 8 13 15
2 3 6 10 11 13
2 3 6 12 16 18
2 3 9 10 15 17
2 3 9 11 17 18
2 3 10 16 17 18
2 3 12 13 16 17
2 3 13 15 17 18
2 4 5 6 10 14
2 4 5 7 8 12
2 4 5 11 12 16
2 4 5 11 13 18
2 4 5 14 16 17
2 4 6 8 9 11
2 4 6 8 13 16
2 4 7 9 11 15
2 4 7 12 13 17
2 4 7 15 16 18
2 4 8 9 12 17
2 5 6 8 12 13
2 5 6 9 16 17
2 5 6 11 14 15
2 5 7 12 17 18
2 5 7 13 14 16
2 5 8 10 15 16
2 5 9 10 12 13
2 5 9 10 14 18
2 6 7 10 13 15
2 6 7 11 14 18
2 6 8 9 15 18
2 6 8 10 17 18
2 6 10 12 15 16
2 6 11 12 13 17
2 7 8 11 13 17
2 7 8 11 15 18
2 7 9 12 14 16
2 7 10 11 16 17
2 8 10 12 14 15
2 8 11 14 16 18
2 8 12 13 16 18
2 9 11 13 15 16
2 10 11 13 14 18
3 4 5 7 10 16
3 4 5 8 10 11
3 4 5 9 12 14
3 4 5 13 16 17
3 4 6 7 9 17
3 4 6 8 12 14
3 4 6 11 15 17
3 4 7 8 11 18
3 4 8 11 13 14
3 4 8 15 16 17
3 4 10 12 14 17
3 4 11 14 16 17
3 5 6 8 9 13
3 5 6 10 11 18
3 5 6 14 15 17
3 5 7 9 13 17
3 5 7 9 15 18
3 5 9 10 12 16
3 5 10 12 15 17
3 5 12 13 14 18
3 6 7 8 11 16
3 6 7 12 17 18
3 6 7 13 14 18
3 6 8 10 14 16
3 6 9 12 14 15
3 6 11 12 13 16
3 7 8 12 16 18
3 7 9 10 11 14
3 7 11 12 15 16
3 8 9 11 14 16
3 8 9 12 13 15
3 8 10 13 15 18
3 9 10 13 15 16
3 9 11 13 15 18
3 10 14 15 17 18
4 5 6 9 12 18
4 5 6 12 13 15
4 5 7 8 9 13
4 5 7 9 10 17
4 5 7 11 14 18
4 5 8 9 15 16
4 5 8 14 15 17
4 5 10 15 17 18
4 6 7 14 15 16
4 6 9 10 13 18
4 6 10 11 16 18
4 6 11 13 14 16
4 6 13 14 15 17
4 6 13 14 16 18
4 7 8 13 17 18
4 7 9 11 12 18
4 7 10 13 14 15
4 8 9 10 14 18
4 8 10 11 13 17
4 8 11 12 15 18
4 9 10 12 13 16
4 10 11 12 14 15
4 11 12 16 17 18
5 6 7 8 15 17
5 6 7 9 16 18
5 6 7 11 13 15
5 6 8 12 15 18
5 6 11 12 14 17
5 6 13 14 17 18
5 7 8 10 11 12
5 7 12 14 16 17
5 8 9 10 13 14
5 8 10 12 16 17
5 8 11 16 17 18
5 8 13 15 16 18
5 9 10 11 12 18
5 9 11 13 15 17
5 10 11 14 15 16
5 10 13 14 15 16
6 7 8 10 14 17
6 7 8 12 13 16
6 7 8 12 15 17
6 8 9 14 16 17
6 9 10 11 12 17
6 9 10 12 13 14
6 9 11 15 17 18
6 12 15 16 17 18
7 8 9 10 11 16
7 8 9 14 15 17
7 9 10 12 13 15
7 9 11 13 14 17
7 10 12 14 16 18
7 10 13 15 16 17
8 9 11 12 14 18
8 9 13 16 17 18
8 10 11 15 16 17
8 11 12 13 14 15
9 14 15 16 17 18
10 11 12 13 17 18

 

[BushHappy]

I see the record is 208 - listed by Dragan Stojiljkovic at http://www.geocities.com/dragans2000/
213 is only 5 from the record.

Cheers,
BushHappy

 

[mathex]

Hi guys
Could someone please check this for me...
At 196 lines it has to have a flaw..
CD(18,6,5,7)196

1 2 3 4 6 10 12
1 2 3 4 8 11 13
1 2 3 4 8 12 17
1 2 3 5 10 12 15
1 2 3 6 7 11 15
1 2 3 6 10 16 18
1 2 3 6 12 14 17
1 2 3 7 8 9 18
1 2 3 7 9 11 12
1 2 3 13 14 16 17
1 2 4 5 6 7 13
1 2 4 5 8 10 17
1 2 4 5 9 13 14
1 2 4 6 8 9 18
1 2 4 7 11 15 17
1 2 4 8 13 14 18
1 2 4 11 13 16 18
1 2 5 6 8 15 16
1 2 5 6 11 12 18
1 2 5 7 12 16 17
1 2 5 10 11 14 18
1 2 6 7 12 13 15
1 2 6 7 14 15 18
1 2 6 11 13 14 16
1 2 7 12 13 17 18
1 2 8 9 10 11 17
1 2 8 9 10 14 15
1 2 8 11 14 15 16
1 2 9 10 11 13 15
1 3 4 5 6 10 16
1 3 4 5 9 10 13
1 3 4 5 15 17 18
1 3 4 7 9 13 15
1 3 4 7 15 16 18
1 3 5 6 8 12 14
1 3 5 6 9 15 17
1 3 5 7 13 14 18
1 3 5 9 11 16 18
1 3 6 7 9 16 17
1 3 6 8 11 12 15
1 3 6 8 13 14 15
1 3 6 9 13 15 18
1 3 7 8 10 14 17
1 3 8 9 13 17 18
1 3 9 11 12 14 17
1 3 10 11 12 13 16
1 4 5 7 8 11 15
1 4 6 7 10 14 18
1 4 6 8 12 13 17
1 4 6 9 11 16 17
1 4 7 9 11 12 18
1 4 7 10 11 12 15
1 4 7 11 12 14 16
1 4 8 9 10 15 16
1 4 8 14 16 17 18
1 4 9 10 12 15 17
1 4 10 11 13 14 15
1 4 12 14 15 16 18
1 5 6 9 14 17 18
1 5 6 11 13 14 17
1 5 7 8 9 12 17
1 5 7 9 11 17 18
1 5 7 10 11 16 18
1 5 8 11 12 13 14
1 5 9 10 12 14 16
1 5 9 11 15 16 18
1 5 10 12 13 15 18
1 5 12 13 15 16 17
1 6 7 8 10 13 16
1 6 7 9 10 13 17
1 6 8 9 12 13 16
1 6 8 11 13 17 18
1 6 10 11 14 15 17
1 7 8 11 13 16 18
1 7 8 12 15 16 18
1 7 9 13 14 15 16
1 7 12 14 15 17 18
1 8 10 12 16 17 18
2 3 4 5 6 7 18
2 3 4 5 9 16 17
2 3 4 5 11 14 15
2 3 4 6 10 11 16
2 3 4 7 10 14 17
2 3 4 9 12 15 16
2 3 4 13 14 15 16
2 3 5 6 8 13 18
2 3 5 7 8 13 16
2 3 5 10 11 14 17
2 3 6 8 9 14 16
2 3 6 9 11 13 15
2 3 7 8 10 12 13
2 3 7 8 15 16 17
2 3 8 11 14 17 18
2 3 9 11 13 16 17
2 3 9 12 14 16 18
2 3 10 15 16 17 18
2 3 11 12 13 16 18
2 4 5 8 9 11 14
2 4 5 10 12 14 16
2 4 5 11 12 14 17
2 4 6 8 10 15 18
2 4 6 8 12 16 18
2 4 7 8 9 10 16
2 4 7 8 10 11 18
2 4 7 8 12 13 15
2 4 7 14 15 16 18
2 4 9 12 13 17 18
2 5 6 7 9 10 15
2 5 6 11 12 15 17
2 5 7 8 10 12 14
2 5 7 9 11 16 18
2 5 8 9 12 15 18
2 5 8 10 11 13 17
2 5 9 10 13 16 18
2 5 9 13 14 15 17
2 6 7 8 11 14 17
2 6 7 9 11 12 13
2 6 7 9 12 14 17
2 6 7 10 12 13 14
2 6 8 10 13 16 17
2 6 9 10 12 17 18
2 6 9 12 14 15 18
2 6 9 15 16 17 18
2 7 8 13 15 17 18
2 7 10 11 13 14 18
2 7 10 12 14 15 16
2 8 12 14 15 16 17
3 4 5 6 9 12 13
3 4 5 7 8 11 12
3 4 5 8 10 13 18
3 4 5 8 11 16 17
3 4 5 12 13 14 18
3 4 6 7 8 15 17
3 4 6 7 11 13 17
3 4 6 9 10 13 14
3 4 6 11 14 17 18
3 4 8 9 12 14 16
3 4 9 10 11 17 18
3 4 9 10 12 14 18
3 5 6 8 9 10 11
3 5 6 10 14 15 16
3 5 6 12 13 16 17
3 5 7 8 9 13 14
3 5 7 10 12 17 18
3 5 7 11 13 15 16
3 6 7 8 12 15 18
3 6 7 11 12 14 16
3 6 8 9 15 16 17
3 7 8 9 10 12 16
3 7 9 10 11 13 18
3 7 9 12 14 15 17
3 8 10 11 14 15 18
3 8 10 12 13 15 17
3 9 10 13 14 15 18
3 9 11 12 15 16 18
3 11 13 15 16 17 18
4 5 6 7 8 14 18
4 5 6 7 9 12 16
4 5 6 9 12 14 15
4 5 6 11 12 15 18
4 5 7 9 11 14 16
4 5 7 10 14 15 17
4 5 8 9 13 15 16
4 5 8 12 16 17 18
4 5 9 10 11 12 13
4 5 10 13 15 17 18
4 6 7 9 13 16 18
4 6 7 15 16 17 18
4 6 8 10 11 12 14
4 6 8 11 13 16 18
4 6 13 14 15 16 17
4 7 8 9 13 14 17
4 7 10 12 13 16 17
4 8 9 11 15 17 18
4 11 12 13 14 15 17
5 6 7 8 10 13 15
5 6 7 8 14 16 17
5 6 7 10 11 12 17
5 6 8 9 10 17 18
5 6 11 13 14 16 18
5 7 9 10 14 15 18
5 7 11 12 13 15 18
5 7 13 14 16 17 18
5 8 10 11 12 15 16
5 8 14 15 16 17 18
6 7 8 9 11 14 15
6 7 9 10 11 14 18
6 9 10 11 12 13 15
6 10 11 12 15 16 18
6 10 12 13 14 17 18
7 8 9 11 12 16 17
7 8 10 13 14 16 18
7 9 10 11 15 16 17
8 9 11 12 13 14 18
8 10 11 13 14 16 18
9 10 11 12 14 16 17

 

[Nick Koutras]

Hi guys
Could someone please check this for me...
At 196 lines it has to have a flaw..
CD(18,6,5,7)196

1 2 3 4 6 10 12
1 2 3 4 8 11 13
1 2 3 4 8 12 17
1 2 3 5 10 12 15
1 2 3 6 7 11 15
1 2 3 6 10 16 18
1 2 3 6 12 14 17
1 2 3 7 8 9 18
1 2 3 7 9 11 12
1 2 3 13 14 16 17
1 2 4 5 6 7 13
1 2 4 5 8 10 17
1 2 4 5 9 13 14
1 2 4 6 8 9 18
1 2 4 7 11 15 17
1 2 4 8 13 14 18
1 2 4 11 13 16 18
1 2 5 6 8 15 16
1 2 5 6 11 12 18
1 2 5 7 12 16 17
1 2 5 10 11 14 18
1 2 6 7 12 13 15
1 2 6 7 14 15 18
1 2 6 11 13 14 16
1 2 7 12 13 17 18
1 2 8 9 10 11 17
1 2 8 9 10 14 15
1 2 8 11 14 15 16
1 2 9 10 11 13 15
1 3 4 5 6 10 16
1 3 4 5 9 10 13
1 3 4 5 15 17 18
1 3 4 7 9 13 15
1 3 4 7 15 16 18
1 3 5 6 8 12 14
1 3 5 6 9 15 17
1 3 5 7 13 14 18
1 3 5 9 11 16 18
1 3 6 7 9 16 17
1 3 6 8 11 12 15
1 3 6 8 13 14 15
1 3 6 9 13 15 18
1 3 7 8 10 14 17
1 3 8 9 13 17 18
1 3 9 11 12 14 17
1 3 10 11 12 13 16
1 4 5 7 8 11 15
1 4 6 7 10 14 18
1 4 6 8 12 13 17
1 4 6 9 11 16 17
1 4 7 9 11 12 18
1 4 7 10 11 12 15
1 4 7 11 12 14 16
1 4 8 9 10 15 16
1 4 8 14 16 17 18
1 4 9 10 12 15 17
1 4 10 11 13 14 15
1 4 12 14 15 16 18
1 5 6 9 14 17 18
1 5 6 11 13 14 17
1 5 7 8 9 12 17
1 5 7 9 11 17 18
1 5 7 10 11 16 18
1 5 8 11 12 13 14
1 5 9 10 12 14 16
1 5 9 11 15 16 18
1 5 10 12 13 15 18
1 5 12 13 15 16 17
1 6 7 8 10 13 16
1 6 7 9 10 13 17
1 6 8 9 12 13 16
1 6 8 11 13 17 18
1 6 10 11 14 15 17
1 7 8 11 13 16 18
1 7 8 12 15 16 18
1 7 9 13 14 15 16
1 7 12 14 15 17 18
1 8 10 12 16 17 18
2 3 4 5 6 7 18
2 3 4 5 9 16 17
2 3 4 5 11 14 15
2 3 4 6 10 11 16
2 3 4 7 10 14 17
2 3 4 9 12 15 16
2 3 4 13 14 15 16
2 3 5 6 8 13 18
2 3 5 7 8 13 16
2 3 5 10 11 14 17
2 3 6 8 9 14 16
2 3 6 9 11 13 15
2 3 7 8 10 12 13
2 3 7 8 15 16 17
2 3 8 11 14 17 18
2 3 9 11 13 16 17
2 3 9 12 14 16 18
2 3 10 15 16 17 18
2 3 11 12 13 16 18
2 4 5 8 9 11 14
2 4 5 10 12 14 16
2 4 5 11 12 14 17
2 4 6 8 10 15 18
2 4 6 8 12 16 18
2 4 7 8 9 10 16
2 4 7 8 10 11 18
2 4 7 8 12 13 15
2 4 7 14 15 16 18
2 4 9 12 13 17 18
2 5 6 7 9 10 15
2 5 6 11 12 15 17
2 5 7 8 10 12 14
2 5 7 9 11 16 18
2 5 8 9 12 15 18
2 5 8 10 11 13 17
2 5 9 10 13 16 18
2 5 9 13 14 15 17
2 6 7 8 11 14 17
2 6 7 9 11 12 13
2 6 7 9 12 14 17
2 6 7 10 12 13 14
2 6 8 10 13 16 17
2 6 9 10 12 17 18
2 6 9 12 14 15 18
2 6 9 15 16 17 18
2 7 8 13 15 17 18
2 7 10 11 13 14 18
2 7 10 12 14 15 16
2 8 12 14 15 16 17
3 4 5 6 9 12 13
3 4 5 7 8 11 12
3 4 5 8 10 13 18
3 4 5 8 11 16 17
3 4 5 12 13 14 18
3 4 6 7 8 15 17
3 4 6 7 11 13 17
3 4 6 9 10 13 14
3 4 6 11 14 17 18
3 4 8 9 12 14 16
3 4 9 10 11 17 18
3 4 9 10 12 14 18
3 5 6 8 9 10 11
3 5 6 10 14 15 16
3 5 6 12 13 16 17
3 5 7 8 9 13 14
3 5 7 10 12 17 18
3 5 7 11 13 15 16
3 6 7 8 12 15 18
3 6 7 11 12 14 16
3 6 8 9 15 16 17
3 7 8 9 10 12 16
3 7 9 10 11 13 18
3 7 9 12 14 15 17
3 8 10 11 14 15 18
3 8 10 12 13 15 17
3 9 10 13 14 15 18
3 9 11 12 15 16 18
3 11 13 15 16 17 18
4 5 6 7 8 14 18
4 5 6 7 9 12 16
4 5 6 9 12 14 15
4 5 6 11 12 15 18
4 5 7 9 11 14 16
4 5 7 10 14 15 17
4 5 8 9 13 15 16
4 5 8 12 16 17 18
4 5 9 10 11 12 13
4 5 10 13 15 17 18
4 6 7 9 13 16 18
4 6 7 15 16 17 18
4 6 8 10 11 12 14
4 6 8 11 13 16 18
4 6 13 14 15 16 17
4 7 8 9 13 14 17
4 7 10 12 13 16 17
4 8 9 11 15 17 18
4 11 12 13 14 15 17
5 6 7 8 10 13 15
5 6 7 8 14 16 17
5 6 7 10 11 12 17
5 6 8 9 10 17 18
5 6 11 13 14 16 18
5 7 9 10 14 15 18
5 7 11 12 13 15 18
5 7 13 14 16 17 18
5 8 10 11 12 15 16
5 8 14 15 16 17 18
6 7 8 9 11 14 15
6 7 9 10 11 14 18
6 9 10 11 12 13 15
6 10 11 12 15 16 18
6 10 12 13 14 17 18
7 8 9 11 12 16 17
7 8 10 13 14 16 18
7 9 10 11 15 16 17
8 9 11 12 13 14 18
8 10 11 13 14 16 18
9 10 11 12 14 16 17

Parameters are:

Pool=18
Pick=6
correct=5
if drawn=7


Yours are Pick=7....

 

[mathex]

OOOPS..

How can you tell I'm new to this..?

Seriously, thanks Nick.. learnig as I go..Will have another go

 

[mathex]

Well, Ive had another bash this time using the
parameters the right way round (!)
but the best I've come up with so far is 214 lines..slowly..
There must be a quicker way to do this stuff, fascinating though it is.

Anyway, could somebody check it for me..Thanks
1 2 3 4 16 18
1 2 3 6 9 12
1 2 3 7 17 18
1 2 3 8 11 14
1 2 4 5 7 9
1 2 4 6 10 17
1 2 4 8 10 13
1 2 4 10 11 16
1 2 5 6 13 16
1 2 5 11 16 17
1 2 5 12 14 15
1 2 6 7 11 15
1 2 6 8 9 14
1 2 6 8 10 18
1 2 7 8 9 15
1 2 7 9 11 13
1 2 9 14 15 16
1 2 10 12 17 18
1 2 12 13 16 17
1 3 4 5 6 15
1 3 4 7 11 14
1 3 4 10 12 17
1 3 4 10 15 18
1 3 5 7 9 16
1 3 5 7 13 18
1 3 5 8 9 10
1 3 5 8 14 15
1 3 5 13 14 17
1 3 6 7 12 14
1 3 6 8 16 18
1 3 6 10 13 16
1 3 6 13 14 15
1 3 7 8 11 12
1 3 7 10 12 15
1 3 9 13 17 18
1 3 9 14 17 18
1 3 10 11 15 17
1 4 5 6 10 12
1 4 5 11 13 16
1 4 5 15 17 18
1 4 6 8 10 14
1 4 6 9 12 18
1 4 7 8 15 16
1 4 7 11 17 18
1 4 7 14 15 16
1 4 8 9 11 17
1 4 8 12 13 18
1 4 9 10 12 14
1 4 13 14 15 17
1 5 6 9 10 15
1 5 6 11 14 18
1 5 7 9 14 18
1 5 7 12 15 17
1 5 7 12 16 18
1 5 8 9 12 16
1 5 8 10 17 18
1 5 8 13 14 15
1 5 10 11 12 13
1 6 7 8 9 13
1 6 7 10 11 16
1 6 8 11 13 17
1 6 9 11 12 14
1 6 11 12 13 15
1 6 12 14 16 17
1 7 9 13 15 16
1 7 10 13 14 18
1 8 9 11 16 18
1 8 10 11 14 15
1 8 11 12 15 18
1 8 12 15 16 17
1 9 10 13 15 17
1 11 13 14 16 18
2 3 4 5 8 17
2 3 4 6 12 13
2 3 4 7 8 15
2 3 4 10 11 15
2 3 4 13 14 16
2 3 5 6 14 18
2 3 5 7 10 14
2 3 5 9 13 15
2 3 5 12 16 18
2 3 6 8 16 17
2 3 7 11 13 17
2 3 7 11 14 16
2 3 8 10 12 15
2 3 9 10 12 14
2 3 9 10 17 18
2 3 11 13 15 18
2 4 5 6 10 18
2 4 5 7 14 18
2 4 5 8 9 13
2 4 6 7 9 17
2 4 6 9 13 18
2 4 7 10 12 16
2 4 7 13 15 18
2 4 8 14 16 18
2 4 9 11 14 15
2 4 9 12 15 17
2 4 11 12 13 14
2 5 6 7 8 12
2 5 6 8 11 15
2 5 6 11 12 16
2 5 7 12 15 16
2 5 8 11 12 18
2 5 9 10 11 18
2 5 10 13 15 16
2 5 10 14 16 17
2 6 7 13 14 15
2 6 8 9 11 12
2 6 9 10 13 16
2 6 9 11 17 18
2 6 10 13 14 17
2 6 12 15 17 18
2 7 8 9 10 16
2 7 8 10 11 14
2 7 8 12 14 17
2 7 8 13 16 18
2 7 10 15 17 18
2 8 9 11 16 17
2 8 14 15 17 18
2 9 12 13 14 18
3 4 5 7 13 16
3 4 5 9 11 12
3 4 5 10 14 16
3 4 6 8 11 18
3 4 6 10 14 17
3 4 7 9 12 15
3 4 8 10 12 14
3 4 8 13 15 17
3 4 9 10 11 13
3 4 9 11 12 16
3 4 12 14 17 18
3 5 6 8 10 11
3 5 6 9 15 18
3 5 6 10 12 17
3 5 7 9 11 18
3 5 8 12 13 17
3 5 9 11 15 17
3 5 11 14 17 18
3 6 7 8 9 10
3 6 7 11 12 17
3 6 7 12 14 17
3 6 9 15 16 17
3 6 11 12 13 14
3 7 8 12 13 15
3 7 8 14 16 17
3 7 10 15 16 18
3 7 14 15 16 18
3 8 9 12 14 18
3 8 9 13 14 16
3 8 10 13 17 18
3 8 11 13 15 16
3 10 11 12 16 18
3 11 12 14 15 16
3 11 13 14 15 17
4 5 6 7 8 16
4 5 6 7 8 17
4 5 6 7 11 12
4 5 6 9 14 16
4 5 6 12 13 17
4 5 7 9 13 14
4 5 7 10 11 17
4 5 7 11 13 15
4 5 8 10 12 18
4 5 8 11 14 17
4 5 12 13 15 16
4 6 7 10 13 15
4 6 7 13 16 17
4 6 8 12 15 16
4 6 11 15 16 17
4 6 13 14 15 18
4 7 8 9 10 18
4 7 8 11 13 14
4 7 8 12 14 17
4 7 11 12 16 18
4 8 9 10 14 15
4 8 10 11 12 16
4 9 10 16 17 18
4 10 11 13 17 18
5 6 7 9 11 13
5 6 7 14 15 17
5 6 8 13 14 18
5 6 9 10 12 13
5 6 13 16 17 18
5 7 8 10 13 17
5 7 8 12 14 16
5 7 9 12 17 18
5 7 11 15 16 18
5 8 9 15 16 18
5 9 10 13 14 18
5 9 10 15 16 17
5 9 11 12 14 17
5 10 11 13 14 16
5 10 12 14 15 18
6 7 8 15 17 18
6 7 9 10 11 18
6 7 9 14 16 18
6 7 10 12 13 18
6 8 9 10 12 17
6 8 9 11 14 15
6 8 9 13 14 17
6 8 11 13 16 18
6 10 11 14 15 18
6 10 12 14 15 16
7 9 10 11 12 15
7 9 10 14 15 17
7 9 12 13 16 17
7 11 12 14 17 18
8 9 11 13 15 18
8 10 12 13 14 16
8 10 15 16 17 18
9 10 11 14 16 17
9 12 13 15 16 18
10 11 12 13 15 17

 

[mathex]

Anybody

 

[Irvin]

Yes what you have listed is (18,6,5,7)

So in a pick 6 game if 7 of your 18 chosen numbers come in you are guaranteed 100% to win a 5 number prize with the possibility of getting a 6 number prize.

 

[mathex]

Thanks Irvin
That confirms my own very slow to produce results...in BASIC which is the only language I'm familiar with (as yet)..working on it

Do you know of any wheel designer/checker/verifier programs available?..especially the algorithims used..
John