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A problem in combinatorial optimization. Given a set of items with both weight and value, determine the number of each item to include in a collection so that the total weight is at most a given limit and the value of the collection is maximized.

2 votes
1 answer
486 views

Output of well-known algorithms for the Subset sum problem

According to Wikipedia: In computer science, the subset sum problem is an important problem in complexity theory and cryptography. The problem is this: given a set (or multiset) of integers, is th …
2 votes
1 answer
1k views

Subset sum algorithm in O(n³ log n)?

I think that I have found an algorithm which resolve exactly the subset sum problem in $O(N^3)$ in the worst case, only for positive numbers. After my research, I'm lost between all the algorithms fo …