hdu 4442 Physical Examination

文章讨论了一名大学生在医院进行体检时如何通过最优排队策略,以最短的时间完成所有检查项目的问题。通过输入不同数量的检查项目和每项检查所需时间,文章提供了计算最短完成时间的方法,并给出了一个具体的实例来说明计算过程。

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Physical Examination

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 27    Accepted Submission(s): 3


Problem Description
WANGPENG is a freshman. He is requested to have a physical examination when entering the university.
Now WANGPENG arrives at the hospital. Er….. There are so many students, and the number is increasing!
There are many examination subjects to do, and there is a queue for every subject. The queues are getting longer as time goes by. Choosing the queue to stand is always a problem. Please help WANGPENG to determine an exam sequence, so that he can finish all the physical examination subjects as early as possible.
 

Input
There are several test cases. Each test case starts with a positive integer n in a line, meaning the number of subjects(queues).
Then n lines follow. The i-th line has a pair of integers (ai, bi) to describe the i-th queue:
1. If WANGPENG follows this queue at time 0, WANGPENG has to wait for ai seconds to finish this subject.
2. As the queue is getting longer, the waiting time will increase bi seconds every second while WANGPENG is not in the queue.
The input ends with n = 0.
For all test cases, 0<n≤100000, 0≤a i,b i<2 31.
 

Output
For each test case, output one line with an integer: the earliest time (counted by seconds) that WANGPENG can finish all exam subjects. Since WANGPENG is always confused by years, just print the seconds mod 365×24×60×60.
 

Sample Input
  
5 1 2 2 3 3 4 4 5 5 6 0
 

Sample Output
  
1419
Hint
In the Sample Input, WANGPENG just follow the given order. He spends 1 second in the first queue, 5 seconds in the 2th queue, 27 seconds in the 3th queue, 169 seconds in the 4th queue, and 1217 seconds in the 5th queue. So the total time is 1419s. WANGPENG has computed all possible orders in his 120-core-parallel head, and decided that this is the optimal choice.
 

Source
 

分析:不愧是板刷题,和hdu4310排序类似

#include<cstdio>
#include<algorithm>
using namespace std;
#define ll long long
const int N=100002;
const int M=31536000;
struct node
{
	int a,b;
	bool operator <(node p)const{return (double)b/a>(double)p.b/p.a;}
}s[N];
int main()
{
	int n,i;
	while(scanf("%d",&n),n)
	{
		for(i=0;i<n;i++)scanf("%d%d",&s[i].a,&s[i].b);
		sort(s,s+n);
		ll ans=0,t=0;
		for(i=0;i<n;i++)
		{
			t=(s[i].a%M+s[i].b*ans%M)%M;
			ans=(ans+t)%M;
		}
		printf("%lld\n",ans);
	}
	return 0;
}



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