Created
April 27, 2016 21:28
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Given various ways to score points, represented by an arbitrary array w, count how many ways you can add up to a score s. Raw
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| function waysToScore(awards, score) { | |
| var ways = new Array(score + 1).fill(0); | |
| // There's one way to score 0 points | |
| ways[0] = 1; | |
| // Loop through the awards | |
| for (var a = 0; a < awards.length; a++){ | |
| // Loop through each integer from the award value up to the score | |
| for (var s = awards[a]; s <= score; s++){ | |
| // Calculate what the score must have been prior to award | |
| let previousScore = ways[s - awards[a]]; | |
| // Add each of the ways of getting previousScore to current ways | |
| ways[s] += previousScore; | |
| } | |
| } | |
| // return the score (or 0 if it is still undefined) | |
| return ways[score]; | |
| } | |
| waysToScore([2, 3, 7, 8], 0); // 1 | |
| waysToScore([2, 3, 7, 8], 1); // 0 | |
| waysToScore([2, 3, 7, 8], 2); // 1 | |
| waysToScore([2, 3, 7, 8], 3); // 1 | |
| waysToScore([2, 3, 7, 8], 4); // 1 | |
| waysToScore([2, 3, 7, 8], 5); // 1 | |
| waysToScore([2, 3, 7, 8], 6); // 2 | |
| waysToScore([2, 3, 7, 8], 7); // 2 | |
| waysToScore([2, 3, 7, 8], 8); // 3 | |
| waysToScore([2, 3, 7, 8], 9); // 3 | |
| waysToScore([2, 3, 7, 8], 26); // 23 |
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