Reduced Systems for the EuroDreams lottery

Practical example for the EuroDreams

Let's say in EuroDreams you want to play 10 numbers and guarantee a prize of 5 correct numbers (not 6 correct/jackpot).

• Just for comparison, in order to guarantee you 6 correct numbers (jackpot), you would need to play a Integral System of all possible 6-number combinations out of the 10 chosen numbers, which would consist of a total of 210 combinations subsets ([1, 2, 3, 4, 5, 6],[1, 2, 3, 4, 5, 7], ..., [5, 6, 7, 8, 9, 10]).
• Using a Reduced System to play 10 numbers and guarantee a win of 5 correct numbers, you can optimize your strategy and minimize costs, by only playing 15 combinations subsets ([1, 2, 3, 4, 5, 6], [2, 4, 6, 7, 9, 10], ..., [2, 3, 7, 8, 9, 10]).
  As mentioned above depending on how many of your chosen numbers match the drawn numbers, you can expect the following prizes distributions:

  Matching drawn numbers	Correct numbers odds (%)
  	1	2	3	4	5	6
  1	100.0	-	-	-	-	-
  2	-	100.0	-	-	-	-
  3	-	-	100.0	-	-	-
  4	-	-	19.52	80.48	-	-
  5	-	-	-	65.48	34.52	-
  6	-	-	-	-	92.86	7.14

  • If all your numbers match 6, you get the guaranteed a prize of 5 correct numbers, plus a chance of winning an even better prize such as a 6 correct numbers.
  • If not all your numbers match, you might still win smaller prizes depending on how many of your chosen numbers match the drawn numbers.
  • The above odds may vary depending on the quantity of numbers chosen, the guarantee desired and the Reduced System used.

Our Reduced Systems for EuroDreams

Below we present a summary table with all our Reduced Systems for EuroDreams.

The leftmost column represents the quantity of numbers you want to play, while the columns on the right correspond to the guarantees of correct numbers. The table also shows for each combination of 'Quantity of numbers to play' x 'Guaranteed correct numbers' the corresponding Reduced System in the form Quantity Guarantee Subsets.

The symbol is shown on Reduced Systems not (yet) available due to one of two reasons, either because it would consist of a considerable amount of subsets (also costs) to play or because it would require a considerable amount of time to run all our algorithms according to these conditions.

Our Algorithms

All of the Reduced Systems for EuroDreams featured on this site have been created with our own generator.

The generation of Reduced Systems uses combinatorial calculation tools that in some cases, depending on the number of numbers played and the desired guarantee, require several hours or even days to find a solution.

We use various algorithms, approaches and variants to get the best reduced solution, whenever possible the optimal solution or as close as possible to the optimal solution. Currently, in the search for the best solution, we validated and executed 7 different approaches and in the end we selected the one that obtained the smallest number of subsets. To give you an idea of the time needed to find the best solution, if for example 1 (one) of the approaches takes something like 4 hours to complete, all 7 (seven) will take something like 7 x 4 hours = 28 hours to complete and decide which of the 7 had the best (smallest) result.

If by any chance you find a smaller (reduced) solution, please let us know (Contact or Forums). We will not copy it, but rather: Confirm that the system and the guarantees are valid; Study why none of our algorithms and variants found this solution; Find a way to improve our algorithms or add new variants; Finally, if we are successful, we will rebuild all our systems taking into account this new active algorithm and publish new versions of the systems that have obtained better reduced solutions.

We never copy, use, or publish Reduced Systems from sources other than our own. Please do not copy our systems, generated by us, result of our efforts to obtain the best possible solution.