What is the primary implication if P=NP is proven true in complexity theory?

💡 Explanation:

P (Polynomial time) is the class of problems that can be *solved* quickly (in polynomial time). NP (Non-deterministic Polynomial time) is the class of problems for which a proposed solution can be *verified* quickly. If P=NP, it implies that every problem whose solution can be quickly verified (NP) also has an efficient, deterministic algorithm to find that solution quickly (P). This would revolutionize fields like cryptography and optimization.