FatMouse’ Trade
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 93617 Accepted Submission(s): 32537
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
#include<bits/stdc++.h>
using namespace std;
struct node
{
double j;
double f;
double val;
}p[1005];
bool cmp(node a,node b)
{
return a.val>b.val;
}
int main()
{
int m,n;
while(cin>>m>>n)
{
if(m==-1&&n==-1)
break;
double sum=0;
for(int i=0;i<n;i++)
{
cin>>p[i].j>>p[i].f;
p[i].val=p[i].j/p[i].f;
}
sort(p,p+n,cmp);
int cnt=0;
while(m>0&&cnt<n)
{
if(p[cnt].f<=m)
{
sum+=p[cnt].j;
m-=p[cnt].f;
cnt++;
}
else if(p[cnt].f>m)
{
sum+=m*p[cnt].val;
m=0;
cnt++;
}
}
printf("%.3lf\n",sum);
}
return 0;
}