Knapsack Problem Dynamic Programming
Knapsack Problem Dynamic Programming: Given a set of items, each with weight and benefit, determine the items to include in a collection so that the total weight is less than or equal to a given limit and the total benefit is maximized.
For example,
With a given weight limit of 5, if we have to choose from following set of four item with weights and benefits as shown -
weight[] = {2,2,4,5}, benefit[] = {3,7,2,9}
Then to maximize the benefit, we have to choose item 0 and item 1 to get the maximum benefit possible of 10 units.
If for the same set, weight limit is changed to 10 then our algorithm should choose items 0, item 1 and item 3 to get the benefit of 19 which is maximum.
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