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In [[computer science]] and [[operations research]], '''exact algorithms''' are [[algorithm]]s that always solve an optimization problem to optimality.
Unless [[P = NP]], an exact algorithm for an [[NP-hardness | NP-hard]] optimization problem cannot run in worst-case [[polynomial time]]. There has been extensive research on finding exact algorithms whose running time is exponential with a low base.<ref>{{citation
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|last2=Kratsch|first2=Dieter
|title=Exact Exponential Algorithms
|url=https://archive.org/details/exactexponential00fvfo|url-access=limited|publisher=Springer
|year=2010
|isbn=978-3-642-16532-0
|page=[https://archive.org/details/exactexponential00fvfo/page/n217 203]
}}</ref>
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