The P=NP Problem

The P vs. NP problem is a fundamental question in computer science about how difficult certain problems are to solve. "P" refers to problems that a computer can solve quickly and efficiently, while "NP" includes problems where solutions can be verified quickly, even if finding those solutions may be hard. The big question is: if a solution to a problem can be checked quickly (NP), does that mean it can also be found quickly (P)? If yes, P equals NP; if no, they are different. Resolving this helps us understand the limits of computation and problem-solving.