Countdown Solver

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

Countdown Solver