ACM FatMouse' Trade
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
- #include<bits/stdc++.h>
- using namespace std;
- struct node{
- int j; /*理想下越大越好*/
- int f; /*理想下越小越好*/
- double rate; /*性价比*/
- }jb[];
- bool cmp(node a,node b)
- {
- if(a.rate != b.rate)
- return a.rate > b.rate;
- else
- return a.f < b.f;
- }
- int main()
- {
- int m,n;
- while(cin>>m>>n) /*m(固定的猫粮) n(房间数)*/
- {
- if(m==-&&n==-)
- break;
- for(int i = ; i< n; i++)
- {
- scanf("%d%d",&jb[i].j,&jb[i].f); /*j(房间内最多的JB数量)f(换购猫粮)*/
- 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*/
- }
- sort(jb,jb+n,cmp);
- double ans = ;
- for(int i = ; i < n; i++)
- {
- //cout<<jb[i].rate<<" "<<jb[i].f<<endl;
- if(m >= jb[i].f)
- {
- ans+=jb[i].j;
- m -= jb[i].f;
- }else{
- ans += jb[i].rate*m; /*根据计算公式推导*/
- break;
- }
- }
- printf("%.3lf\n",ans);
- }
- return ;
- }
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