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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.

Related Terms

Event-Driven Architecture
A software design pattern where components communicate by producing and consuming events rather than direct method calls.
Binary Search
An efficient search algorithm that finds a target value in a sorted array by repeatedly dividing the search interval in half.
Code Smell
A surface indication in code that usually corresponds to a deeper problem in the system, suggesting the need for refactoring.
Immutable Object
An object whose state cannot be modified after creation, providing thread safety and predictable behavior in concurrent systems.
Recursion
A programming technique where a function calls itself to solve a problem by breaking it into smaller subproblems.
Concurrency
The ability of a program to manage multiple tasks that can make progress during overlapping time periods.
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