Task: Knapsack problem_Bounded



C#: using System;  
class program
{
    static void Main()
    {
        knapSack(40);
        var sw = System.Diagnostics.Stopwatch.StartNew();
        Console.Write(knapSack(400) + "\n" + sw.Elapsed);  
        Console.Read();
    }

    static string knapSack(uint w1)
    {
        init(); change();
        uint n = (uint)w.Length; var K = new uint[n + 1, w1 + 1];
        for (uint vi, wi, w0, x, i = 0; i < n; i++)
            for (vi = v[i], wi = w[i], w0 = 1; w0 <= w1; w0++)
            {
                x = K[i, w0];
                if (wi <= w0) x = max(vi + K[i, w0 - wi], x);
                K[i + 1, w0] = x;
            }
        string str = "";
        for (uint v1 = K[n, w1]; v1 > 0; n--)
            if (v1 != K[n - 1, w1])
            {
                v1 -= v[n - 1]; w1 -= w[n - 1]; str += items[n - 1] + "\n";
            }
        return str;
    }

    static uint max(uint a, uint b) { return a > b ? a : b; }

    static byte[] w, v; static string[] items;

    static byte[] p = { 1, 1, 2, 2, 2, 3, 3, 3, 1, 3, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2 };

    static void init()
    {
        w = new byte[] { 9, 13, 153, 50, 15, 68, 27, 39, 23, 52, 11,
                          32, 24, 48, 73, 42, 43, 22, 7, 18, 4, 30 };

        v = new byte[] { 150, 35, 200, 60, 60, 45, 60, 40, 30, 10, 70,
                          30, 15, 10, 40, 70, 75, 80, 20, 12, 50, 10 };

        items = new string[] {"map","compass","water","sandwich","glucose","tin",
                              "banana","apple","cheese","beer","suntan cream",
                              "camera","T-shirt","trousers","umbrella",
                              "waterproof trousers","waterproof overclothes",
                              "note-case","sunglasses","towel","socks","book"};
    }

    static void change()
    {
        int n = w.Length, s = 0, i, j, k; byte xi;
        for (i = 0; i < n; i++) s += p[i];
        {
            byte[] x = new byte[s];
            for (k = i = 0; i < n; i++)
                for (xi = w[i], j = p[i]; j > 0; j--) x[k++] = xi;
            w = x;
        }
        {
            byte[] x = new byte[s];
            for (k = i = 0; i < n; i++)
                for (xi = v[i], j = p[i]; j > 0; j--) x[k++] = xi;
            v = x;
        }
        string[] pItems = new string[s]; string itemI;
        for (k = i = 0; i < n; i++)
            for (itemI = items[i], j = p[i]; j > 0; j--) pItems[k++] = itemI;
        items = pItems;
    }
}



Java: package hu.pj.alg.test;

import hu.pj.alg.BoundedKnapsack;
import hu.pj.obj.Item;
import java.util.*;
import java.text.*;

public class BoundedKnapsackForTourists {
    public BoundedKnapsackForTourists() {
        BoundedKnapsack bok = new BoundedKnapsack(400); 

        
        bok.add("map", 9, 150, 1);
        bok.add("compass", 13, 35, 1);
        bok.add("water", 153, 200, 3);
        bok.add("sandwich", 50, 60, 2);
        bok.add("glucose", 15, 60, 2);
        bok.add("tin", 68, 45, 3);
        bok.add("banana", 27, 60, 3);
        bok.add("apple", 39, 40, 3);
        bok.add("cheese", 23, 30, 1);
        bok.add("beer", 52, 10, 3);
        bok.add("suntan cream", 11, 70, 1);
        bok.add("camera", 32, 30, 1);
        bok.add("t-shirt", 24, 15, 2);
        bok.add("trousers", 48, 10, 2);
        bok.add("umbrella", 73, 40, 1);
        bok.add("waterproof trousers", 42, 70, 1);
        bok.add("waterproof overclothes", 43, 75, 1);
        bok.add("note-case", 22, 80, 1);
        bok.add("sunglasses", 7, 20, 1);
        bok.add("towel", 18, 12, 2);
        bok.add("socks", 4, 50, 1);
        bok.add("book", 30, 10, 2);

        
        List<Item> itemList = bok.calcSolution();

        
        if (bok.isCalculated()) {
            NumberFormat nf  = NumberFormat.getInstance();

            System.out.println(
                "Maximal weight           = " +
                nf.format(bok.getMaxWeight() / 100.0) + " kg"
            );
            System.out.println(
                "Total weight of solution = " +
                nf.format(bok.getSolutionWeight() / 100.0) + " kg"
            );
            System.out.println(
                "Total value              = " +
                bok.getProfit()
            );
            System.out.println();
            System.out.println(
                "You can carry te following materials " +
                "in the knapsack:"
            );
            for (Item item : itemList) {
                if (item.getInKnapsack() > 0) {
                    System.out.format(
                        "%1$-10s %2$-23s %3$-3s %4$-5s %5$-15s \n",
                        item.getInKnapsack() + " unit(s) ",
                        item.getName(),
                        item.getInKnapsack() * item.getWeight(), "dag  ",
                        "(value = " + item.getInKnapsack() * item.getValue() + ")"
                    );
                }
            }
        } else {
            System.out.println(
                "The problem is not solved. " +
                "Maybe you gave wrong data."
            );
        }

    }

    public static void main(String[] args) {
        new BoundedKnapsackForTourists();
    }
}