Web Reference: The knapsack problem is the following problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine which items to include in the collection so that the total weight is less than or equal to a given limit and the total value is as large as possible. The meaning of KNAPSACK is a bag (as of canvas or nylon) strapped on the back and used for carrying supplies or personal belongings : backpack. How to use knapsack in a sentence. Mar 6, 2026 · For each item, there are two choices: either include the item in the knapsack or skip it, depending on whether its weight allows it to fit within the remaining capacity.
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