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Programming Concepts Intermediate

What is Big O Notation?

A mathematical notation that describes the worst-case performance of an algorithm as input size grows.

Big O describes how an algorithm scales. O(1) is constant time (hash lookup). O(log n) is logarithmic (binary search). O(n) is linear (simple loop). O(n log n) is linearithmic (efficient sorting). O(nยฒ) is quadratic (nested loops). O(2^n) is exponential.

Understanding Big O helps choose the right algorithm and data structure. For example, searching a sorted array with binary search O(log n) is vastly faster than linear search O(n) for large datasets.

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