Hi Dennis,
Yesterday I could not log on the board
and I let LottoDesignerXL work on what
we discuss the previous night,
It generated some designs and all 4 of them they are
new world records as of the quantity of blocks they use.
All these designs generate a profit, assuming that
the payoff for 5 numbers in Que. is 250$ as it is in ON.
I will create a list as of what the number of blocks is
for 16-20 numbers and slowly I'll fill in the designs.
I'll concentrate on the one's that the blocks are less that 250.
LD(13,5,5,8)=42 <== New World Record, was 43 blocks
5 9 10 11 13
2 4 6 7 12
2 4 5 8 9
2 3 6 9 13
2 4 8 11 13
1 6 8 9 11
1 2 6 10 12
2 3 5 6 11
1 4 5 8 11
6 10 11 12 13
1 2 3 11 13
1 9 10 12 13
3 4 8 10 12
5 9 11 12 13
1 3 4 6 8
6 7 8 12 13
1 7 9 11 13
3 7 8 10 13
1 2 4 7 10
4 7 8 10 12
1 3 10 11 12
2 6 7 8 10
3 6 9 10 12
1 2 5 6 13
1 4 5 7 12
3 4 5 8 13
4 6 7 10 13
1 4 6 9 11
3 4 8 9 11
1 2 7 8 12
2 9 10 11 12
3 4 7 12 13
1 3 5 6 13
1 4 8 9 13
1 5 7 8 10
1 2 3 5 9
5 6 7 9 11
3 5 7 8 12
3 4 5 7 10
2 5 10 12 13
2 3 7 9 11
4 6 8 10 12
================================================
LD(14,5,5,8)=76 New World Record, was 77 blocks
1 5 7 8 11
4 5 8 13 14
1 3 4 6 7
2 3 4 7 9
3 6 8 11 14
2 3 4 12 14
1 6 8 11 13
3 6 7 8 10
1 5 7 10 14
1 4 7 10 11
2 3 6 11 12
3 5 6 9 13
4 6 8 12 14
1 3 5 7 12
2 8 10 11 13
1 2 3 10 13
1 4 7 9 13
2 7 10 12 13
2 9 11 13 14
1 4 6 11 14
5 6 7 8 14
1 2 4 5 8
1 2 7 11 12
2 3 5 7 8
4 6 7 9 11
4 5 6 7 13
3 8 9 10 12
1 4 7 8 14
7 10 11 12 14
8 9 10 13 14
1 6 7 9 12
1 2 6 8 10
2 5 6 11 13
3 4 9 10 14
4 5 8 9 10
2 6 7 8 9
2 4 7 8 12
1 7 9 13 14
2 8 10 11 14
1 4 10 11 12
1 2 9 10 12
7 8 11 12 13
1 7 10 12 13
5 6 9 12 14
2 3 4 11 13
2 3 7 8 14
2 3 5 11 14
3 5 9 12 13
4 5 10 13 14
1 2 8 12 13
4 5 7 11 12
3 4 8 9 14
1 6 9 10 11
3 5 6 10 11
2 6 7 10 14
4 6 7 11 13
1 2 5 6 10
1 2 4 13 14
5 6 8 10 12
1 11 12 13 14
3 7 9 11 13
1 3 7 11 14
5 7 9 10 13
1 3 5 9 11
3 5 8 11 12
3 4 5 6 12
3 4 8 10 13
2 5 7 9 12
2 4 6 10 11
4 6 9 12 13
3 5 8 10 14
1 2 5 6 14
1 8 9 11 12
2 4 5 9 11
1 2 3 8 9
3 6 12 13 14
LD(14,5,5,8,L=2)=116
For parameter L>1 (guarantee of the design) there is not repository of records
and I also assume that this design shall be a record too.
2 3 4 8 14
3 4 7 11 14
2 3 6 8 10
1 2 4 8 13
2 3 5 6 12
4 5 9 10 13
5 7 8 11 13
1 3 5 11 13
5 6 7 8 14
1 3 4 5 9
4 8 9 10 14
2 3 5 8 9
1 3 6 7 14
2 6 7 11 14
1 3 9 12 13
3 5 6 7 9
2 4 5 8 10
3 5 8 10 11
1 3 5 7 8
5 7 9 10 14
3 5 6 11 14
1 4 6 7 10
1 4 5 7 14
5 9 11 13 14
2 5 7 11 12
4 6 7 8 13
1 3 6 8 12
1 5 6 8 9
2 6 12 13 14
3 7 9 10 13
1 5 7 10 13
4 5 7 12 13
3 6 10 12 13
1 4 10 11 14
6 8 10 13 14
1 2 5 6 10
1 4 10 12 13
1 2 6 8 9
2 4 6 8 12
4 6 9 12 13
7 10 11 13 14
2 6 7 9 13
3 6 9 11 13
1 2 11 12 13
3 4 5 12 14
2 3 5 7 13
5 7 10 11 12
3 7 8 11 12
2 4 7 9 12
3 6 8 9 14
1 3 8 10 13
1 2 4 5 8
4 6 8 10 11
2 3 4 7 11
2 6 10 11 13
2 3 4 10 13
1 2 3 4 12
4 7 8 10 12
4 7 8 9 11
1 2 7 9 11
2 5 8 11 14
8 9 11 12 13
1 4 8 12 14
5 6 8 9 12
3 4 5 6 7
2 7 9 12 14
1 3 5 10 12
4 8 11 13 14
4 5 6 11 13
1 5 6 11 12
1 2 3 10 11
1 4 6 9 14
2 4 9 13 14
3 7 8 12 14
2 8 9 13 14
1 5 7 9 12
1 3 4 6 11
1 2 3 13 14
6 7 9 10 11
1 9 10 12 14
3 4 5 8 13
1 3 4 7 9
1 8 9 13 14
1 8 11 12 14
3 5 10 12 14
3 4 9 10 12
1 6 9 10 13
1 4 7 11 13
4 6 7 11 12
1 3 9 11 14
5 8 10 12 13
2 3 9 11 12
2 7 8 12 13
2 5 10 13 14
1 6 7 8 11
2 7 8 9 10
7 9 12 13 14
2 6 10 12 14
1 6 7 10 12
2 3 8 11 13
2 5 9 10 11
2 4 5 6 9
3 4 6 10 14
1 2 5 12 14
2 6 7 12 13
3 11 12 13 14
6 9 11 12 14
2 4 10 11 12
1 5 6 13 14
2 3 9 10 14
4 5 9 11 12
4 5 6 10 14
1 2 9 10 12
1 8 9 10 11
1 2 7 10 14
3 4 7 13 14
LD(15,5,5,8)=119 <== New World Record, was 120
1 3 8 9 11
2 5 9 10 12
1 5 7 8 14
1 2 7 9 11
5 7 8 11 14
2 4 8 9 14
2 9 11 14 15
8 10 11 13 15
1 2 4 5 12
3 11 12 14 15
2 5 9 10 14
1 4 5 8 13
1 3 6 9 13
3 6 9 10 14
2 7 8 9 15
1 3 6 11 12
3 6 10 12 13
1 3 9 11 13
3 7 8 13 14
2 3 7 11 13
2 4 5 7 9
3 5 9 11 14
2 3 6 11 15
2 5 10 11 12
2 6 8 9 11
1 2 12 13 15
3 7 12 13 15
5 6 10 11 14
3 7 9 14 15
1 5 6 7 10
4 5 8 10 15
4 7 11 13 14
1 4 6 7 11
1 2 3 6 10
5 6 7 13 15
1 2 8 12 15
4 5 8 10 11
2 7 12 13 14
1 3 4 9 10
1 6 11 13 14
6 8 9 10 12
4 6 10 14 15
9 10 12 14 15
1 3 8 9 15
1 2 3 5 7
3 6 8 12 15
6 9 11 12 13
2 3 4 11 14
3 4 8 12 14
1 4 6 9 12
2 7 10 12 15
2 4 8 11 12
3 4 6 7 9
2 4 6 7 12
1 2 9 13 14
1 2 3 8 14
2 3 5 6 8
1 7 13 14 15
3 5 9 11 15
1 5 10 13 15
4 6 8 13 14
7 8 9 12 13
2 3 5 14 15
1 3 4 7 12
2 4 6 9 11
5 6 7 8 15
3 7 10 11 12
3 8 9 10 13
2 7 9 10 13
1 6 7 8 15
1 8 10 11 13
1 4 10 11 15
5 7 9 11 12
2 3 10 13 14
4 5 7 14 15
4 6 8 14 15
3 4 5 9 13
1 7 9 10 12
2 4 10 12 13
2 3 9 12 15
1 4 5 6 14
1 3 12 14 15
3 5 7 8 12
4 5 11 13 15
2 4 6 9 15
3 5 12 13 14
2 3 4 6 13
3 4 9 11 15
4 7 9 10 14
3 4 5 6 12
5 7 10 13 14
2 5 6 9 13
3 5 6 7 10
4 9 12 13 14
2 5 8 12 13
2 6 11 12 14
1 4 8 13 15
1 5 8 11 15
2 3 4 7 15
6 7 10 11 15
5 6 9 12 15
4 6 7 10 13
1 2 4 8 9
1 2 6 7 12
8 9 11 12 14
1 7 11 14 15
2 5 6 12 14
6 8 13 14 15
4 5 7 12 14
1 4 5 10 11
3 8 9 12 14
6 7 8 11 13
1 6 8 10 14
4 7 9 12 15
1 2 6 9 15
4 7 8 10 14
2 3 7 8 10
1 5 9 12 14
1 10 11 12 14