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Informally, an algorithm is a set of explicit instructions used to solve a problem (e.g. Euclid's algorithm for computing the greatest common divisor of two integers). For more specific questions on algorithms, this tag may be used in conjunction with the approximation-algorithms, algorithmic-randomness and algorithmic-topology tags.

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Knapsack problem with capacity constraint

I assume that your constraint should read $\sum_{h=1}^i p_h w_h < B < 2 \sum_{h=1}^i p_h w_h$, not $\sum_{h=1}^i w_h < B$ otherwise the trivial solution $p_h \equiv 1$ always applies. There is an redu …
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