0/1 Knapsack

Explore how to approach the 0 1 Knapsack problem by selecting items to maximize total value without exceeding capacity limits. Understand the problem constraints and apply dynamic programming concepts to implement an efficient solution within this lesson.

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Statement

You are given $n$ items whose weights and values are known, as well as a knapsack to carry these items. The knapsack cannot carry more than a certain maximum weight, known as its capacity.

You need to maximize the total value of the items in your knapsack, while ensuring that the sum of the weights of the selected items does not exceed the capacity of the knapsack.

If there is no combination of weights whose sum is within the capacity constraint, return $0$ .

Notes:

An item may not be broken up to fit

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