PTA-1014 Waiting in Line (30 分)

Suppose a bank has N windows open for service. There is a yellow line in front of the windows which devides the waiting area into two parts. The rules for the customers to wait in line are:

  • The space inside the yellow line in front of each window is enough to contain a line with M customers. Hence when all the N lines are full, all the customers after (and including) the (NM+1)st one will have to wait in a line behind the yellow line.
  • Each customer will choose the shortest line to wait in when crossing the yellow line. If there are two or more lines with the same length, the customer will always choose the window with the smallest number.
  • Customer​i​​ will take T​i​​ minutes to have his/her transaction processed.
  • The first N customers are assumed to be served at 8:00am.

Now given the processing time of each customer, you are supposed to tell the exact time at which a customer has his/her business done.

For example, suppose that a bank has 2 windows and each window may have 2 custmers waiting inside the yellow line. There are 5 customers waiting with transactions taking 1, 2, 6, 4 and 3 minutes, respectively. At 08:00 in the morning, customer​1​​ is served at window​1​​ while customer​2​​ is served at window​2​​. Customer​3​​ will wait in front of window​1​​ and customer​4​​ will wait in front of window​2​​. Customer​5​​ will wait behind the yellow line.

At 08:01, customer​1​​ is done and customer​5​​ enters the line in front of window​1​​ since that line seems shorter now. Customer​2​​ will leave at 08:02, customer​4​​ at 08:06, customer​3​​ at 08:07, and finally customer​5​​ at 08:10.

Input Specification:

Each input file contains one test case. Each case starts with a line containing 4 positive integers: N (≤20, number of windows), M (≤10, the maximum capacity of each line inside the yellow line), K (≤1000, number of customers), and Q (≤1000, number of customer queries).

The next line contains K positive integers, which are the processing time of the K customers.

The last line contains Q positive integers, which represent the customers who are asking about the time they can have their transactions done. The customers are numbered from 1 to K.

Output Specification:

For each of the Q customers, print in one line the time at which his/her transaction is finished, in the format HH:MM where HH is in [08, 17] and MM is in [00, 59]. Note that since the bank is closed everyday after 17:00, for those customers who cannot be served before 17:00, you must output Sorry instead.

Sample Input:

2 2 7 5
1 2 6 4 3 534 2
3 4 5 6 7

Sample Output:

08:07
08:06
08:10
17:00
Sorry

 题意:模拟银行排队,银行有n个窗口,每个窗口的最大排队人数为m,剩余的人在后面等着,有a个人来办业务,经过k次询问,对每次询问给出客户办完业务的时间。银行八点开始营业,下午五点关门,超过五点办完的业务都输出Sorry

#include
#include
#include
#include
using namespace std;
int serve_time[1001];
int ans[1001];
queue Q[21];
int main(void)
{
 int w,cap,cus,k;//分别记录窗口数量、窗口最大人数、顾客数量和查询数量
 int i,j;
 scanf("%d%d%d%d",&w,&cap,&cus,&k);
  for(i = 1; i <= cus; i ++)
   scanf("%d",&serve_time[i]);
 	int sum = 0;
   int count = 1;
   for(int ti = 0; ti < 540; ti = ti + 1)
   {//以时间来作为循环,这个很关键
   for(i = 0; i < w; i ++)
   {
    for(j = 0; j < Q[i].size(); j ++)
	{
     if(ti == ans[Q[i].front()])
	 {//如果当前队伍的人服务结束了
      Q[i].pop();
       sum --;
     if(!Q[i].empty())
	  {//并且计算当前队伍下一个人的结束时间
       int tmp = Q[i].front();
       ans[tmp] = ti + serve_time[tmp];//结束时间为当前时间+顾客的服务时间
      }
     }
    }
   }
   
   while(sum < w * cap && count <= cus)
   {
    int min = 0;
    for(i = 0; i < w; i++){
     if(Q[min].size() > Q[i].size())
	 {
      min = i;
     }//找到人最少的那个队伍
     if(Q[min].size() == 0)  
	 	ans[count] = ti + serve_time[count];//如果队伍没人则直接开始服务,并且计算结束时间
     if(Q[min].size() < cap && count <= cus)
	 {
      Q[min].push(count);//否则把让下一个顾客进队
      count ++;
      sum ++;
     }
    }
   }
  }
 
  for(i = 0; i < k; i ++)
  {
   int query;
   scanf("%d",&query);
   if(ans[query] == 0)
   	puts("Sorry");//值为0说明没有被开始服务,只能Sorry
   else
   {
    int hour,min;
    hour = 8 + ans[query] / 60;
    min = ans[query] % 60;
    printf("%02d:%02d\n",hour,min);//把时间转换为标准格式并输出
   }
  }
 return 0;
}

 

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