0/1 Knapsack Problem-C#

As per the Wikipedia

The knapsack 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 included in a collection so that the total weight is less than or equal to a given limit and the total amount is as large as possible

In this article, I will show you the implementation of the Knapsack in C#.

using System;

public class Knapsack
{
    static int nbObjects = 8;
    static int[] weight = { 2, 3, 5, 2, 4, 6, 3, 1 };
    static int[] utility = { 5, 8, 14, 6, 13, 17, 10, 4 };
    static int weightmax = 12;
    static int[,] array;
    static void Display()
    {
        int i, u, w;
        u = 0;
        w = weightmax;
        for (i = nbObjects - 1; i >= 1; i--)
        {
            if (array[i, w] != array[i - 1, w])
            {
                Console.Write((i + 1) + " ");
                w = w - weight[i];
                u = u + utility[i];
            }
        }

        if (array[0, w] != 0)
        {
            Console.WriteLine("1");
            w = w - weight[0];
            u = u + utility[0];
        }
    }
    public static void SolveDP()
    {
        array = new int[nbObjects, weightmax + 1];
        // initialize the first row
        for (int j = 0; j <= weightmax; j++)
            if (j < weight[0])
            {
                array[0, j] = 0;

            }
            else
            {
                array[0, j] = utility[0];

            }
        // for all other rows
        for (int i = 1; i < nbObjects; i++)
        {
            for (int j = 0; j <= weightmax; j++)
            {
                if (j - weight[i] < 0)
                    array[i, j] = array[i - 1, j];
                else
                    array[i, j] = Math.Max(array[i - 1, j], array[i - 1, j - weight[i]] + utility[i]);
            }
        }
        Display();
    }

}