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HDU 1009 FatMouse' Trade【贪心】

2024-08-08 09:37:16   218人阅读

解题思路：一只老鼠共有m的猫粮，给出n个房间，每一间房间可以用f[i]的猫粮换取w[i]的豆，问老鼠最多能够获得豆的数量 sum

             即每一间房间的豆的单价为v[i]=f[i]/w[i],要想买到最多的豆，一定是先买最便宜的，再买第二便宜的，再买第三便宜的

             -----m的值为0的时候求得的sum即为最大值   所以先将v[i]从小到大排序。

 

FatMouse‘ Trade

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 45970    Accepted Submission(s): 15397
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<stdio.h>void bubblesort(double v[],int w[],int f[],int n){    int i,j;    double t;    for(i=1;i<=n;i++)    {        for(j=i+1;j<=n;j++)        {            if(v[i]>v[j])            {                t=v[i];                v[i]=v[j];                v[j]=t;                                t=f[i];                f[i]=f[j];                f[j]=t;				                  t=w[i];                w[i]=w[j];                w[j]=t;                                         }        }    }}int main(){	int n,m,i,j,w[1000],f[1000];	double v[1000],sum;	while(scanf("%d %d",&m,&n)!=EOF&&(n!=-1)&&(m!=-1))	{		for(i=1;i<=n;i++)		{		scanf("%d %d",&w[i],&f[i]);		v[i]=f[i]*1.0/w[i];	    }	    bubblesort(v,w,f,n);	   	    sum=0;	    for(i=1;i<=n&&v[i]<=m&&m>0;i++) //如果v[i]>m,则单价大于总价，不能进行交换，跳出循环 	    {	    		    	if(m>=f[i]) //总价能够买到该房间所有的豆 	    	{	    		sum+=w[i];	    		m=m-f[i];	    	}	    	else	    	{	    		sum+=m*1.0/v[i]; //总价只能买到该房间部分的豆，说明买完这间房间的豆，总价也用完了 	    		m=0;	    	}		    }	    printf("%.3lf\n",sum);	    	}}

　　

 

HDU 1009 FatMouse' Trade【贪心】


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