Brute Force Approach

The brute force approach is a problem-solving technique in computer science and mathematics that involves systematically checking all possible solutions to find the correct one, without using optimization or heuristics. It is straightforward and guaranteed to find a solution if one exists, but often has high computational complexity, making it inefficient for large-scale problems. This method is commonly used for small datasets, as a baseline for comparison, or when no better algorithm is known.

Also known as: Exhaustive Search, Naive Approach, Complete Search, Brute Force Algorithm, BF

Why learn Brute Force Approach?

Developers should learn and use the brute force approach when dealing with small problem sizes where efficiency is not critical, such as in coding interviews, educational exercises, or prototyping simple solutions. It is also valuable as a reference implementation to verify the correctness of more optimized algorithms, and in scenarios like password cracking or exhaustive search where completeness is prioritized over speed. However, it should be avoided for large inputs due to its exponential or factorial time complexity in many cases.

Learning Resources

• docs: GeeksforGeeks: Brute Force Approach
• tutorial: Khan Academy: Brute Force Algorithms
• course: Coursera: Algorithmic Toolbox
• video: YouTube: Brute Force Algorithms Explained
• book: Book: Introduction to Algorithms by Cormen et al.