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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

Refactoring
Restructuring existing code without changing its external behavior to improve readability, maintainability, and performance.
SOLID Principles
Five design principles for writing maintainable, flexible object-oriented code: Single Responsibility, Open-Closed, Liskov Substitution, Interface Segregation, and Dependency Inversion.
Event-Driven Architecture
A software design pattern where components communicate by producing and consuming events rather than direct method calls.
Algorithm
A step-by-step procedure for solving a problem or performing a computation, defined as a finite sequence of instructions.
Factory Pattern
A creational design pattern that provides an interface for creating objects without specifying their exact classes.
Unit Testing
Testing individual components or functions of a program in isolation to verify they work correctly.
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