FatMouse' Trade
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
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.
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
Author
CHEN, Yue
Source
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#include<stdio.h>
#include<stdlib.h>
#define size 1001
int m;
int n;
double max;
struct room {
double j;
double f;
double price;
} room[size];//房间结构,j为JavaBeans的数量,f为猫食,price为JavaBeans的价格
int cmp(const void*p1, const void*p2) {
return ((struct room *)p2)->price < ((struct room *)p1)->price?1:-1;
}//快排函数,price小的放在前面
int main(void) {
while (scanf("%d%d", &m, &n), m + 1) {
for (int i = 0; i < n; i++) {
scanf("%lf%lf", &room[i].j, &room[i].f);
room[i].price = room[i].f / room[i].j;
}
qsort(room, n, sizeof (room[0]),cmp);//对room数组进行排序
max = 0;
for (int i = 0; i < n; i++) {
if (m > room[i].f) {
max += room[i].j;
m -= room[i].f;
} else {
max += m / room[i].price;
break;
}
}
printf("%.3lf\n", max);
}
return 0;
}
300

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