FatMouse' Trade -HZNU寒假集训

FatMouse' Trade

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

题解:我建立了一个结构体,然后将食物价值用r表示,然后把结构体排序,依次从最大的开始递减,可以保证价值最大。

#include<iostream>
#include<cstdlib>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<algorithm>
#include<vector>
using namespace std;
struct food
{
double j;
double f;
double r;
}fo[];
bool compare(food a,food b)
{
return a.r>b.r;
}
int main()
{
int m,n;
while(scanf("%d %d",&m,&n),m!=-,n!=-)
{
for(int i=;i<n;i++)
{
scanf("%lf %lf",&fo[i].j,&fo[i].f);
fo[i].r=fo[i].j/fo[i].f;
}
sort(fo,fo+n,compare);
double ans=;
for(int i=;i<n;i++)
{
if(m>=fo[i].f)
{
ans+=fo[i].j;
m-=fo[i].f;
}
else
{
ans+=m*fo[i].r;
break;
}
}
printf("%.3lf\n",ans);
}
return ;
}
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