ACM FatMouse' Trade

FatMouse prepared M pounds of cat food, ready to trade with the cats guarding the warehouse containing his favorite food, JavaBean. 
The warehouse has N rooms. The i-th room contains J[i] pounds of JavaBeans and requires F[i] pounds of cat food. FatMouse does not have to trade for all the JavaBeans in the room, instead, he may get J[i]* a% pounds of JavaBeans if he pays F[i]* a% pounds of cat food. Here a is a real number. Now he is assigning this homework to you: tell him the maximum amount of JavaBeans he can obtain. 

InputThe input consists of multiple test cases. Each test case begins with a line containing two non-negative integers M and N. Then N lines follow, each contains two non-negative integers J[i] and F[i] respectively. The last test case is followed by two -1's. All integers are not greater than 1000. 
OutputFor each test case, print in a single line a real number accurate up to 3 decimal places, which is the maximum amount of JavaBeans that FatMouse can obtain. 
Sample Input

5 3
7 2
4 3
5 2
20 3
25 18
24 15
15 10
-1 -1

Sample Output

13.333
31.500

 1 #include<bits/stdc++.h>
 2 using namespace std;
 3 struct node{
 4     int j;  /*理想下越大越好*/
 5     int f;   /*理想下越小越好*/
 6     double rate;  /*性价比*/
 7 }jb[1005];
 8 
 9 bool cmp(node a,node b)
10 {
11     if(a.rate != b.rate)
12         return a.rate > b.rate;
13     else
14         return a.f < b.f;
15 }
16 
17 int main()
18 {
19     int m,n;
20     while(cin>>m>>n)  /*m(固定的猫粮) n(房间数)*/
21     {
22         if(m==-1&&n==-1)
23             break;
24         for(int i = 0; i< n; i++)
25         {
26               scanf("%d%d",&jb[i].j,&jb[i].f); /*j(房间内最多的JB数量)f(换购猫粮)*/
27               jb[i].rate = jb[i].j*1.0/jb[i].f; /*记得在分子*1.0,否则出来的答案只能是int类型的*/
28         }
29         sort(jb,jb+n,cmp);
30         double ans = 0;
31 
32         for(int i = 0; i < n; i++)
33         {
34             //cout<<jb[i].rate<<" "<<jb[i].f<<endl;
35             if(m >= jb[i].f)
36             {
37                 ans+=jb[i].j;
38                 m -= jb[i].f;
39             }else{
40                 ans += jb[i].rate*m;   /*根据计算公式推导*/
41                 break;
42             }
43         }
44         printf("%.3lf\n",ans);
45     }
46     return 0;
47 }

 

posted @ 2017-08-17 11:28  听说这是最长的名字了  阅读(347)  评论(0编辑  收藏  举报