HDU1009
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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.
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.
Input
The 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.
Output
For 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 37 24 35 220 325 1824 1515 10-1 -1
Sample Output
13.33331.500// 先找出每个的汇率a.j/a.f,然后从小到大排出,如果列出的a.f比m大,就能直接算出,比他小就乘上汇率#include <iostream>#include <cstring>#include <cstdio>#include <cmath>using namespace std;typedef struct{ int j,f; double r;} node;node a[10000],temp;int main(){ int m,n,i; while(scanf("%d%d",&m,&n)!=EOF&&(n!=-1||m!=-1)) { for(i=0; i<n; i++) { scanf("%d%d",&a[i].j,&a[i].f); a[i].r=1.0*a[i].j/a[i].f; } int e; for(i=0; i<n-1; i++) for(e=i+1; e<n; e++) if(a[i].r<a[e].r) { temp=a[i]; a[i]=a[e]; a[e]=temp; } double sum=0; for(i=0; i<n; i++) if(m>=a[i].f) { sum+=a[i].j; m-=a[i].f; } else { sum+=m*a[i].r; m=0; break; } printf("%.3lf\n",sum); } return 0;}
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