Knapsack problem
The Knapsack Problem is a classic optimization challenge where you have a backpack (knapsack) that can carry a limited weight, and you need to choose items to pack based on their value and weight. The goal is to maximize the total value of the items without exceeding the weight capacity. Imagine you have a selection of treasures, each with a value (how much you want it) and a weight (how heavy it is). The problem involves finding the best combination of items that gives you the most value while staying within the weight limit of your backpack.
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The knapsack problem is a well-known optimization issue in which you have a backpack (the knapsack) and a set of items, each with a weight and a value. The goal is to determine the most valuable combination of items you can carry without exceeding the backpack’s weight limit. This problem symbolizes decision-making where you must balance limited resources against maximum benefit, applicable in various fields, such as finance, logistics, and resource allocation, helping to choose the best options when faced with constraints.