What is time complexity and how do I calculate it?

What is time complexity and how do I calculate it?

Time complexity measures the amount of time an algorithm takes to complete as a function of the length of the input. You can calculate it by analyzing the algorithm's loops and recursive calls.

Can you give me an example of calculating time complexity?

Sure! For a simple loop that runs 'n' times, the time complexity is O(n). If you have nested loops, like two loops each running 'n' times, the time complexity would be O(n^2).

What about recursive functions?

For recursive functions, you can use the Master Theorem or recurrence relations to determine time complexity. For example, the Fibonacci sequence has a time complexity of O(2^n) if implemented naively.

How does big O notation relate to time complexity?

Big O notation is a mathematical representation that describes the upper limit of an algorithm's time complexity, helping to classify algorithms based on their performance.