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 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.
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.
5 3
7 2
4 3
5 2
20 3
25 18
24 15
15 10
-1 -1
13.333
31.500
有m个猫食n个房间,每个房间都有一个猫把守,每个房间都有j个你想要的东西,要得到东西,就要给猫猫食
每个猫都有规定的猫食,你给的猫食所占规定的比例就是你得到东西的比例,球最多能得多少个
简单贪心,排序,求值
2015,7,20
#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
struct node{
int j,f;
double v;
}a[1100];
bool cmp(node x,node y){
return x.v<y.v;
}
int main(){
int m,n,i;
while(~scanf("%d%d",&m,&n),!(m==-1&&n==-1)){
for(i=0;i<n;i++){
scanf("%d%d",&a[i].j,&a[i].f);
a[i].v=a[i].f*1.0/a[i].j;
}
sort(a,a+n,cmp);
double sum=0;
for(i=0;i<n;i++){
if(m>=a[i].f){
sum+=a[i].j;
m-=a[i].f;
}
else{
double c;
c=m*1.0/a[i].f;
sum+=a[i].j*c;
break;
}
}
printf("%.3lf\n",sum);
}
return 0;
}