题目描述
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.
输入描述:
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.
输出描述:
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.
示例1
输入
5 3
7 2
4 3
5 2
20 3
25 18
24 15
15 10
-1 -1
输出
13.333
31.500
解题思路:典型的贪心算法,我之前反复抄了很多遍还是不会做,这次竟然一次性AC.
//贪心
#include<cstdio>
#include<cstring>
#include<algorithm>
using namespace std;
struct E{
int J;
int F;
double value; //性价比
bool operator < (const E &b)const{
return value > b.value;
}
}E[1000];
int main(){
int m,n;
while(scanf("%d%d",&m,&n) != EOF){
if(m == -1 && n == -1) break;
for(int i = 0;i < n;i++){
scanf("%d%d",&E[i].J,&E[i].F);
E[i].value = E[i].J*1.0/E[i].F;
}
sort(E,E+n);
double sum=0;
for(int i = 0;i < n;i++){
if(m > E[i].F){
sum += E[i].J;
m -= E[i].F;
}else{
sum += E[i].value * m;
break;
}
}
printf("%.3f\n",sum);
}
return 0;
}