1009 FatMouse' Trade

最新推荐文章于 2022-06-07 16:17:42 发布

原创最新推荐文章于 2022-06-07 16:17:42 发布 · 525 阅读

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本文探讨了FatMouse如何利用算法最大化获得JavaBeans的数量，在有限的猫粮资源下进行最优交易决策。通过输入猫粮数量、JavaBeans库存及交易比例，输出最大可以获得的JavaBeans总量。案例展示了算法在实际问题中的应用，特别强调了处理不同输入情况的方法。

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

Sample Output

13.333
31.500

题目说的是非负数，那么输入的就有可能是0

第15行就是要解决N为0的情况。

第8行的后面是> >,中间有空格，不然OJ编译有错误！

#include <iostream>
#include <map>
#include <iomanip>
using namespace std;
int main()
{
	pair<int,int> pd;
	pair<double,pair<int,int> > pp;
	multimap<double,pair<int,int> > mymap;
	multimap<double,pair<int,int> >::reverse_iterator pos;
	int M,N,j;
	double sum;
	while (cin>>M>>N&&(M!=-1&&N!=-1))
	{
		if (N==0)
		{
			cout<<"0.000"<<endl;
			continue;
		}
		j=0;
		while (j<N)
		{
			cin>>pd.first>>pd.second;
			pp.first=(double)((double)pd.first/(double)pd.second);
			pp.second=pd;
			mymap.insert(pp);
			++j;
		}
		pos=mymap.rbegin();
		sum=0.0000;
		while (M>0)
		{
			if (M>=pos->second.second)
			{
				sum+=(pos->second.first);
				M-=(pos->second.second);
				++pos;
			}
			else
			{
				sum+=((double)M)*pos->first;
				break;
			}
		}
		cout<<fixed<<setprecision(3)<<sum<<endl;
		mymap.clear();
	}
	return 0;
}