HDU1009FatMouse' Trade(贪心)

时间:2023-03-10 00:18:25
HDU1009FatMouse' Trade(贪心)

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

13.333
31.500

Author

CHEN, Yue

Source

ZJCPC2004
#include<stdio.h>
#include<algorithm>//sort的头文件
using namespace std;
const int maxn=+;
struct node{
double j,f;
double r;
}a[maxn];
bool cmp(node a,node b)//从大到小排序
{
return a.r>b.r;
}
int main()
{
int m,n,i;
double sum;
while(scanf("%d%d",&m,&n)==&&(m!=-&&n!=-))
{
for(i=;i<n;i++){
scanf("%lf%lf",&a[i].j,&a[i].f);
a[i].r=a[i].j/a[i].f;
}
sort(a,a+n,cmp);
sum=0.0;
for(i=;i<n;i++)
{
if(m>=a[i].f)
{
sum+=a[i].j;
m-=a[i].f;
}
else
{
sum+=(a[i].r)*m;
break;
}
}
printf("%.3lf\n",sum);
}
return ;
}