NP-complete


NP-complete is a complexity class in computer science that represents decision problems that are both in the class NP (nondeterministic polynomial time) and NP-hard (at least as hard as the hardest problems in NP). In other words, any problem in NP can be reduced to an NP-complete problem in polynomial time. This means that if an efficient algorithm exists for solving any NP-complete problem, then it can be used to solve all problems in NP. However, no one has yet been able to prove that such an algorithm exists. The most famous NP-complete problem is the Boolean satisfiability problem (SAT), which asks whether a given Boolean formula can be satisfied by assigning truth values to its variables.


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