0-1 Knapsack proble

 1 package Three;
 2 
 3 public class KNAPSACK {
 4     public static int [][]  KNAPSACK_DP(int[] v,int [] w,int W) 
 5     {
 6         int n=w.length-1;
 7         int[][] c=new int[n+1][W+1];
 8         for(int j=0;j<=W;j++)
 9         {
10             c [0][j]=0;
11         }
12         for(int i=0;i<=n;i++)
13         {
14             c[i][0]=0;
15         }
16         for(int i=1;i<=n;i++){//前i个物品
17             for(int j=1;j<=W;j++)
18             {
19                 //if(w[i]<=W)
20                 //{
21                     if(w[i]<=j)//当前最大容量为j
22                     {
23                         if(v[i]+c[i-1][j-w[i]]>c[i-1][j])
24                             c[i][j]=v[i]+c[i-1][j-w[i]];
25                         else c[i][j]=c[i-1][j];    
26                     }
27                 //}
28                 else c[i][j]=c[i-1][j];        
29             }
30         }
31         return c;//[n][W];
32     }
33     public static void PrintArray(int [][] array,int W)
34     { 
35         int n=array.length-1;
36         for(int i=1;i<=n;i++){
37             for(int j=1;j<=W;j++){
38                 System.out.print(array[i][j]+" ");
39             }
40             System.out.println();
41         }
42         System.out.println();
43         System.out.println("the biggist value is "+array[n][W]);
44         
45     }
46     public static void main(String[] args)
47     {
48         int [] weight={0,1,2,5,6,7};//考虑到28行有c[i-1],在前面添一个0元素
49         int [] value={0,1,6,18,22,28};
50         int[][] c=KNAPSACK_DP(value,weight,11);
51         //System.out.println("the biggist value is "+v);
52         PrintArray(c,11);
53     }
54 
55 }

 

posted @ 2016-05-09 14:02  小菁菁爱吃番茄酱  阅读(218)  评论(0编辑  收藏  举报