/** * @param {number} lineNumber - zero based. * @return {number[]} */ export default function pascalTriangleRecursive(lineNumber) { if (lineNumber === 0) { return [1]; } const currentLineSize = lineNumber + 1; const previousLineSize = currentLineSize - 1; // Create container for current line values. const currentLine = []; // We'll calculate current line based on previous one. const previousLine = pascalTriangleRecursive(lineNumber - 1); // Let's go through all elements of current line except the first and // last one (since they were and will be filled with 1's) and calculate // current coefficient based on previous line. for (let numIndex = 0; numIndex < currentLineSize; numIndex += 1) { const leftCoefficient = (numIndex - 1) >= 0 ? previousLine[numIndex - 1] : 0; const rightCoefficient = numIndex < previousLineSize ? previousLine[numIndex] : 0; currentLine[numIndex] = leftCoefficient + rightCoefficient; } return currentLine; }