杭电1007FatMouse' Trade

Font Size: ← →

Problem Description

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.

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

Sample Output

13.33331.500

 

#include<iostream>
#include<stdio.h>
#include<stdlib.h>
using namespace std;
struct num1
{
    double a;
    double b;
    double c;
}num[10001];
int Compare(const void *a, const void *b)
{
    struct num1 *p,*q;
    p=(num1 *)a;
    q=(num1 *)b;
    if(p->c<q->c)
        return 1;
    else if(p->c>q->c)
  return -1;
 else return 0;
}
int main()
{
    int n,i,m;
    while(scanf("%d%d",&n,&m))
    {
  if(m==-1&&n==-1)
   break;
        double sum=0.0;
        for(i=0;i<m;i++)
        {
            scanf("%lf%lf",&num[i].a,&num[i].b);
            num[i].c=(num[i].a)/(num[i].b);
        }
        qsort(num,m,sizeof(num[0]),Compare);
        for(i=0;i<m&&n>0;i++)
        {
            if(n<num[i].b)
                num[i].a=num[i].c*n;
            sum=sum+num[i].a;
            n=(double)(n-num[i].b);
        }
        printf("%.3lf\n",sum);
    }
    return 0;
}
//数组排序太慢，注意compare的排序。