Question 1

How do you handle an O(N) loop followed by an O(log N) loop?

Accepted Answer

You add them: O(N + log N). Because linear time (N) grows much faster than logarithmic time (log N), N is dominant. The final complexity is just O(N).

Question 2

How do you calculate the complexity of two loops back-to-back?

Accepted Answer

You add their complexities together. O(N) + O(N) = O(2N), which is simplified by dropping the constant to O(N).

Question 3

When do you multiply loop complexities?

Accepted Answer

You multiply them only when one loop is nested completely inside the body of another loop.

Question 4

What if consecutive loops iterate over different datasets?

Accepted Answer

If Loop A iterates over array size N, and Loop B iterates over array size M, the complexity is O(N + M). You cannot drop one because you don't know which is larger.

How do you handle an O(N) loop followed by an O(log N) loop?

More FAQs in Analyzing Time Complexity of Multiple Consecutive Loops

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