What is the P vs NP problem?

Computational Theory Questions



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What is the P vs NP problem?

The P vs NP problem is a major unsolved question in computer science and mathematics. It asks whether every problem for which a solution can be verified in polynomial time can also be solved in polynomial time. In simpler terms, it investigates whether problems that are easy to check for correctness (P) are also easy to solve (P), or if there are problems that are difficult to solve but easy to verify (NP). The resolution of this problem has significant implications for various fields, including cryptography, optimization, and artificial intelligence.