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. 0/1 Knapsack Problem: Dynamic Programming Approach: Knapsack Problem: Knapsack is basically means bag. A bag of given capacity. We want to pack n items in your luggage. The ith item is worth v i dollars and weight w i pounds. Take as valuable a load as possible, but cannot exceed W pounds. v i w i W are integers. 0/1 Knapsack Problem: Dynamic Programming Approach: Knapsack Problem: Knapsack is basically means bag. A bag of given capacity. We want to pack n...