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Exercise 4

What is the time complexity of the function test? What is its space complexity?

function test(n) {
  let sum = 0;
  for (let i = 1; i <= n; i++) {
    for (let j = 1; j <= i; j++) {
      sum += 1;
    }
  }
  return sum;
}

Solution

The time complexity in this problem is O(N^2) as we have two nested loops.

Unlike the previous problem, the space complexity is O(1). The sum variable holds an integer value so there is no additional space used that grows with n.

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