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Questions about problems that entail selecting the best element from some set of available alternatives, and methods to solve them.

24 votes
2 answers
763 views

Efficient algorithm for 'unsumming' a set of sums

Given a multiset of natural numbers X, consider the set of all possible sums: $$\textrm{sums}(X)= \left\{ \sum_{i \in A} i \,|\, A \subseteq X \right\}$$ For example, $\textrm{sums}(\left\{1,5\right …
Uri Granta's user avatar