【HDU 1009】FatMouse' Trade

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

题意：给你m克猫粮，n个房间分别可以用猫粮以J[i]/F[i]的比例换取至多J[i]克咖啡豆，问最多能换取多少咖啡豆

分析：先排下序再贪心

#include <stdio.h>

#include <algorithm>

using namespace std;

int n,u;

double m,ans;

struct room

{

    double j,f,p;

} r[];

int cmp(room a,room b)

{

    return a.p>b.p;

}

int main()

{

    while(scanf("%lf%d",&m,&n)&&n!=-&&m!=-)

    {

        for(int i=;i<n;i++)

        scanf("%lf%lf",&r[i].j,&r[i].f),

              r[i].p=r[i].j/r[i].f;

        sort(r,r+n,cmp);

        u=ans=;

        while(m&&u<n)

        {

            if(r[u].f>m) ans+=m*r[u].p,m=;

//剩下的猫粮不够把这个房间的咖啡豆换过来，那就能换多少换多少

            else ans+=r[u].j,m-=r[u].f;

//够的话，这间房子全部咖啡豆换过来

            u++;

        }

//        while(m>=r[u].f&&u<n) //换种写法

//        {

//            ans+=r[u].j;

//            m-=r[u].f;

//            u++;

//        }

//        if(u!=n) ans+=m*r[u].p;

        printf("%.3lf\n",ans);

    }

    return ;

}

巴特西

【HDU 1009】FatMouse' Trade

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