Explain the concept of non-deterministic polynomial-time (NP)

Non-deterministic Polynomial-Time (NP) is a complexity class used in computational theory to describe a set of decision problems for which a proposed solution can be verified in polynomial time. Here's a concise explanation of the concept:

Definition of NP

• NP (Non-deterministic Polynomial-Time): A class of problems for which, if a solution to the problem is given, it can be verified as correct in polynomial time. In other words, an NP problem is one where a "certificate" or "witness" can be checked quickly (in polynomial time) to confirm whether it is a valid solution to the problem.