Countdown Solver

About Countdown

The Countdown Solver calculates solutions to the numbers round of the Channel 4 television programme Countdown. If you don't know about Countdown see Wikipedia and for an extreme solution example YouTube.

This Solver

The Countdown Solver has been designed to provided one or more best solutions.

It does not show every possible solution but will show a single solution for each combination of selected numbers, unless there is already a solution provided with a subset of the selected numbers, therefore a six number solution will only be provided if no solution has been found with fewer numbers

Countdown in Numbers

Target Description Solution
30 Lowest value a combination can not achieve set [ 100, 75, 50, 2, 1, 1 ]
81 The lowest 'highest value for a combination' 3 * 3 * (2 + 1) * (2 + 1) = 81
999 Out of the 13243 valid combinations of the six selected numbers, 1226 (9.26%) can make a solution for every target up to 999 n/a
1001 For the combinations that can make every solutions up to 999, the first non solution is at 1001 for [ 50, 25, 9, 8, 6, 6 ] set [ 50, 25, 9, 8, 6, 6 ]
1912 The highest 'first non-solution' is 1913 for set [ 100, 9, 8, 5, 3, 2 ] (((100+(5*3))*2)+9)*8 = 1912
set [100,9,8,5,3,2] ≠ 1913
58661 The lowest value for which only one set of selected numbers can provide a solution. ((100-6)*(75+3)*8)+5 = 58661
937 500 000 Highest possible target solution. 100 * 75 * 50 * 25 * 10 * 10 = 937500000

and now for something completely different:

Countdown Solver

About Countdown

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