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.
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
| 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 |
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