43 lines
1.2 KiB
JavaScript
43 lines
1.2 KiB
JavaScript
function maximumTrianglePathSum(triangle) {
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function distilLastLine() {
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let lastLine = triangle.pop(),
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aboveLine = triangle.pop();
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for (let i = 0; i < aboveLine.length; i++)
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aboveLine[i] = Math.max(
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aboveLine[i] + lastLine[i],
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aboveLine[i] + lastLine[i + 1]
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);
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triangle.push(aboveLine);
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}
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do {
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distilLastLine();
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} while (triangle.length > 1);
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return triangle[0][0];
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}
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// testing
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let theTriangle = [
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[55],
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[94, 48],
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[95, 30, 96],
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[77, 71, 26, 67],
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[97, 13, 76, 38, 45],
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[ 7, 36, 79, 16, 37, 68],
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[48, 7, 9, 18, 70, 26, 6],
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[18, 72, 79, 46, 59, 79, 29, 90],
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[20, 76, 87, 11, 32, 7, 7, 49, 18],
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[27, 83, 58, 35, 71, 11, 25, 57, 29, 85],
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[14, 64, 36, 96, 27, 11, 58, 56, 92, 18, 55],
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[ 2, 90, 3, 60, 48, 49, 41, 46, 33, 36, 47, 23],
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[92, 50, 48, 2, 36, 59, 42, 79, 72, 20, 82, 77, 42],
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[56, 78, 38, 80, 39, 75, 2, 71, 66, 66, 1, 3, 55, 72],
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[44, 25, 67, 84, 71, 67, 11, 61, 40, 57, 58, 89, 40, 56, 36],
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[85, 32, 25, 85, 57, 48, 84, 35, 47, 62, 17, 1, 1, 99, 89, 52],
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[ 6, 71, 28, 75, 94, 48, 37, 10, 23, 51, 6, 48, 53, 18, 74, 98, 15],
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[27, 2, 92, 23, 8, 71, 76, 84, 15, 52, 92, 63, 81, 10, 44, 10, 69, 93]
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];
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console.log(maximumTrianglePathSum(theTriangle));
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