The knapsack problem selects items of prescribed weights and profits under a total-weight capacity. The 0-1 knapsack problem permits each item at most once; bounded and unbounded multiplicity variants use different integer restrictions. Nonnegative weights and capacity are assumed here.
The Knapsack Problem is a classic optimization problem in computer science and mathematics that deals with selecting items to maximize the total value without exceeding a given weight limit. There are various forms of the Knapsack Problem, but the most commonly discussed are: 1. **0/1 Knapsack Problem**: In this version, you have a set of items, each with a specific weight and value. You must choose to include each item either completely or not at all (hence "0/1").
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