HDU 1009 FatMouse' Trade

本文介绍了一种通过计算性价比来实现最优资源交换的方法。该方法应用于一只胖老鼠与守卫仓库的猫之间的交易,通过将猫粮转换为最爱的食物——Java豆。文章详细解释了如何根据猫粮和Java豆的数量及价值进行计算,以最大化获取Java豆的数量。

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A - 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 Ji pounds of JavaBeans and requires Fi pounds of cat food. FatMouse does not have to trade for all the JavaBeans in the room, instead, he may get Ji* a% pounds of JavaBeans if he pays Fi

* 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 Ji

and Fi

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

 

 

按性价比排序,然后再拿总猫粮去诱惑猫,并取得食物;

第一个数据表示能拿几个

第二个数据表示有几组

输入的是总的猫粮对应的价值

要除一下算性价比。

 

 

 

 

 

#include<stdio.h>

#include<algorithm>

using namespace std;

struct hanshu

{

    double a;

    double b;

    double shang;

}c[10000];

int cmp(struct hanshu q,struct hanshu w)

{

    return q.shang>w.shang;

}

int main()

{

    int m,n,i;

    while(scanf("%d%d",&m,&n)!=EOF)

    {

        double sum=0;

        if(m==-1&&n==-1)

            break;

        for(i=0;i<n;i++)

        {

            scanf("%lf%lf",&c[i].a,&c[i].b);

            c[i].shang=c[i].a/c[i].b;

        }

        sort(c,c+n,cmp);

        for(i=0;i<n;i++)

        {

            if(m>c[i].b)

            {

                m=m-c[i].b;

                sum=sum+c[i].a;

            }

            else

            {

                sum=sum+m*c[i].shang;

                break;

            }

        }

        printf("%.3lf\n",sum);

    }

    return 0;

}

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