背包问题 算法实现

动态规划算法

package algorithm;

public class T7_21 {
    public static void main(String[] args){
        int s[] = {2,3,4,5};
        int v[] = {3,4,5,7};
        int C = 9;

        System.out.println(big(s,v,C));
    }

    public static int big(int[] s,int [] v,int C){
        int L_s = s.length;
        int V[][] = new int[100][100];
        for(int i =0;i<=L_s;i++){
            V[i][0] = 0;
        }
        for(int j =0;j<=C;j++){
            V[0][j] = 0;
        }
        for(int i =1;i<=L_s;i++){
            for(int j =1;j<=C;j++){
                if(j<s[i-1]){
                    V[i][j] = V[i-1][j];
                }
                else {
                    V[i][j] = V[i][j]>(V[i-1][j-s[i-1]]+v[i-1])?V[i][j]:(V[i-1][j-s[i-1]]+v[i-1]);
                }
            }
        }
        for(int i =0;i<=L_s;i++){
            for(int j = 0;j<=C;j++){
            System.out.printf("%3d",V[i][j]);}
            System.out.println();
        }
        System.out.print("          背包的最大价值为：");
        return V[L_s][C];
    }

}