What is Big O of nested loops?

Problem Statement

What is Big O of nested loops?

Step-by-Step Explanation

Nested loops often multiply running times, so two loops over n items commonly produce quadratic time.

1. Identify what the question is asking. In Algorithms, this usually means naming the known quantities, the unknown quantity, and the concept that connects them.
2. Write the relevant definition, rule, or relationship before substituting numbers or manipulating symbols.
3. Work one step at a time and keep units, signs, and restrictions visible.
4. Check whether the answer makes sense in the original context.

Final Answer

Nested loops often multiply running times, so two loops over n items commonly produce quadratic time. The reliable strategy is to start from the definition, apply the correct rule carefully, and then interpret the result in plain language.