Brute Force & Exhaustive Search
When facing a novel computational problem, our immediate priority as engineers is not performance, but correctness. Before we can optimize a solution, we must prove that the problem is solvable.
Divide and Conquer
The Divide and Conquer (D&C) paradigm represents one of the most powerful systemic strategies in algorithm design[cite 11]. It fundamentally shifts execution from complex global management to localized resolution and structural combination[cite: 11, 15].
Greedy Algorithms
Unlike general programming strategies that explore multiple alternative paths, Greedy Algorithms are designed strictly for optimization problems where the goal is to maximize or minimize a specific objective function.
Dynamic Programming
The Dynamic Programming (DP) paradigm stands as one of the most advanced and elegant optimization frameworks in Computer Science. Its core engineering philosophy can be summarized by a classic software axiom: those who cannot remember the past are condemned to repeat it.