invoking the method maxValueKnapsack() KnapsackExample knapObj = new KnapsackExample() instantiating the class KnapsackExample Int val2 = maxknapSackVal(C, wt, v, l - 1) Int val1 = maxknapSackVal(C - wt, wt, v, l - 1) The capacity C of the knapsack is less Public int maxknapSackVal(int C, int wt, int v, int l) capacity c by applying brute force with the help of recursion A method that returns the maximum value that the maximum of the two numbers a1 and a2 The following program implements the brute force approach using recursion. The set that generates the maximum value is the answer. In this approach, every set of items are tried, and for every set, the value is calculated. Using Exhaustive SearchĮxhaustive search means applying the brute force approach. A knapsack can also be considered as a bag and the problem is to fill the bag with the objects in such a way that the profit is maximized. The knapsack examples help in real-world such as resource allocation problems. The knapsack problem can be solved either by using the exhaustive search or using dynamic programming. The Knapsack problem is used in logistics, mathematics, cryptography, computer science, and more. Since it is a 0 - 1 knapsack problem hence, splitting the item is not allowed, i.e., one can never break any given item, either do not pick it or pick it (0 - 1 property). Also, the sum of weights of all the items present in the knapsack should not exceed the capacity C. One has to put these items in a knapsack of capacity C such that the knapsack has the maximum value. Given values and weights of n different items. One of the prominent combinatorial optimization problems is the Knapsack problem Java.
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