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Exercise 5

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

function test(n) {
  let result = [];
  for (let i = 0; i < n; i++) {
    result.push(i);
    for (let j = 0; j < n; j++) {
      result[i] += j;
    }
  }
  return result;
}

Solution

The time complexity is O(N^2) due to the nested loop structure, where both loops run n times.

The space complexity is O(N). Note that in the inner loop, we are not adding new values to the result array but we are modifying existing values. This is why the space complexity is not O(N^2).

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