hdu 1114(完全背包)

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=1114

思路:在背包九讲中有提到,如果是要恰好装满,那么这儿dp[]的初始化时应将dp[0]=0,由于这儿是求最小值,故应将dp[1]-dp[n]置为正无穷;若是求最大值,则置为负无穷;

View Code
 1 #include<iostream>
 2 const int N=550;
 3 const int inf=1000000000;
 4 using namespace std;
 5 
 6 struct Node{
 7     int value,weight;
 8 }node[N];
 9 int dp[N*20];
10 int E,F,V;
11 
12 
13 int main(){
14     int _case;
15     scanf("%d",&_case);
16     while(_case--){
17         scanf("%d%d",&E,&F);
18         V=F-E;
19         int n;
20         scanf("%d",&n);
21         for(int i=0;i<n;i++){
22             scanf("%d%d",&node[i].value,&node[i].weight);
23         }
24         for(int i=1;i<=V;i++){
25             dp[i]=inf;
26         }
27         dp[0]=0;
28         for(int i=0;i<n;i++){
29             for(int j=node[i].weight;j<=V;j++){
30                 dp[j]=min(dp[j],dp[j-node[i].weight]+node[i].value);
31             }
32         }
33         if(dp[V]==inf){
34             printf("This is impossible.\n");
35         }else 
36             printf("The minimum amount of money in the piggy-bank is %d.\n",dp[V]);
37     }
38     return 0;
39 }

 

 

posted @ 2013-03-13 08:50  ihge2k  阅读(182)  评论(0编辑  收藏  举报