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
程序代码:
#include<iostream> #include<cstdio> #include<algorithm> using namespace std; struct node { double a,b,c; }x[1001]; int cmp(node a,node b) { return a.c>b.c;//返回较大的那个值 } int main() { int m,n,i; double j,f,sum; while(scanf("%d %d",&m,&n)&&(m!=-1&&n!=-1)) { sum=0; for(i=0;i<n;i++) { scanf("%lf %lf",&j,&f); x[i].a=j; x[i].b=f; x[i].c=j/f; } sort(x,x+n,cmp);//从大到小排序 for(int k=0;k<n;k++) { if(m>=x[k].b)//当m大于整体的b时 { sum+=x[k].a; m-=x[k].b; } else//当m不能整体交换时 { sum+=m*x[k].a/x[k].b; break; } } printf("%.3f\n",sum); } return 0; }