Created
August 30, 2019 10:01
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Pascal's triangle with n level
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// Time complexity: O(n ^ 2) where is the number of levels and | |
// another n is for the number of elements in each level. | |
// Space complexity: O(2n + 1) to hold all elements, which is linear space. | |
function pascalTriangle(level) { | |
if (level === 0) return []; | |
if (level === 1) return [1]; | |
if (level === 2) return [1, 1]; | |
const d = Array.from(Array(level), () => []); | |
d[0] = [1]; | |
d[1] = [1, 1]; | |
for (let i = 2; i < level; i += 1) { | |
const arr = Array.from(Array(i + 1), () => 1); | |
for (let j = 1; j < i; j += 1) { | |
arr[j] = d[i - 1][j - 1] + d[i - 1][j]; | |
} | |
d[i] = arr; | |
} | |
return d; | |
} | |
function main() { | |
Array.from(Array(20), (_, i) => { | |
console.log(`Pascal's triangle with %d level(s): `, i, pascalTriangle(i)); | |
}); | |
} | |
console.clear(); | |
main(); |
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