The knapsack problem or rucksack problem is a problem in combinatorial optimization: Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that the total weight is less than or equal to a given limit and the total value is as large as possible. It derives its name from the problem faced by someone who is constrained by a fixed-size knapsack and must fill it with the most valuable items.

The main goal of Knapsack is:

There is a Shortcut Method for Knapsack Algorithm , see the video:

The main goal of Knapsack is:

- You have a knapsack that has capacity (weight) W.
- You have several items I1,…,In.
- Each item Ij has a weight wj and a benefit bj.You want to place a certain number of copies of each item Ij in the knapsack so that: The knapsack weight capacity is not exceeded and The total benefit is maximal.

There is a Shortcut Method for Knapsack Algorithm , see the video:

Great and Useful Article.

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