How to Calculate Complexity?

The process of calculating algorithmic complexity, often referred to as Big O notation, involves counting the operations or steps an algorithm takes in function of the size of its input. The aim is to identify the worst-case, average-case, and best-case complexity. Generally, the main focus is on the worst-case scenario which represents the maximum number of steps taken by an algorithm. To calculate it, you consider the highest order of size (n) in your algorithm's steps. For instance, if an algorithm performs a loop 5 times for 'n' items, and then does 3 unrelated steps, it has a complexity of O(n), because the linear steps grow faster than constant ones as n increases. Other complexities include O(1) for constant complexity, O(n) for linear complexity, O(n^2) for quadratic complexity, and so on, based on how the steps increase with size.

Visit the following resources to learn more:

• @video@Time & Space Complexity
• @video@How Write and Analyze Algorithm