1014. Waiting in Line (30)
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, customer1 is served at window1 while customer2 is served at window2. Customer3 will wait in front of window1 and customer4 will wait in front of window2. Customer5 will wait behind the yellow line.
At 08:01, customer1 is done and customer5 enters the line in front of window1 since that line seems shorter now. Customer2 will leave at 08:02, customer4 at 08:06, customer3 at 08:07, and finally customer5 at 08:10.
Input
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
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 Input2 2 7 5 1 2 6 4 3 534 2 3 4 5 6 7Sample Output
08:07 08:06 08:10 17:00 Sorry
推荐指数:※※※
这个题目要注意17:00开始之前的任务银行都可以办理,不管办多上时间,是否会超过17:00这个时间。
还有看来memset会破坏vector的内部的结构,导致出现内存泄露的问题。以后用vector、string之类的stl容器时要注意了。这个在这个程序上真是血泪史!!!开始手贱对wins进行了memset,悲剧啊。
#include <iostream> #include<string.h> #include<stdio.h> #include<queue> using namespace std; #define TIME 1440 #define N 1002 #define MAX_WIN 20 typedef struct wait_queue{ int now; queue<int> win; }wait_queue; void inttotime(int leave_time,int cus_time){ int hh,mm; if(leave_time-cus_time>=540){ printf("Sorry\n"); }else{ hh=8+leave_time/60; mm=leave_time%60; printf("%02d:%02d\n",hh,mm); } } int main() { int n,m,k,q,i,j; int process[N]; int query[N]; int leave[N]; wait_queue wins[MAX_WIN]; for(i=0;i<MAX_WIN;i++){ wins[i].now=0; } cin>>n; cin>>m; cin>>k; cin>>q; for(i=1;i<=k;i++){ cin>>process[i]; } for(i=0;i<q;i++){ cin>>query[i]; } for(i=0;i<k;i++){ leave[i]=-1; } int customer=1,tick=0, min_queue,min_queue_size,flag=0,free_q; while(flag==0||customer<k){ for(j=0;j<n;j++){//对于每一个队列,判断当前是否有需要离开的顾客 if(!wins[j].win.empty()){ if(leave[wins[j].win.front()]==tick){ wins[j].win.pop(); } } } do{ free_q=0; min_queue=0; min_queue_size=m; for(j=n-1;j>=0;j--){//寻找最短的队列 if(wins[j].win.size()<m) free_q++; if(wins[j].win.size()<=min_queue_size){ min_queue=j; min_queue_size=wins[j].win.size(); } } if(free_q==0) break; if(min_queue_size<m){//一个客户要进入黄线内队列当中 if(customer<=k){ wins[min_queue].win.push(customer); leave[customer]=process[customer]+wins[min_queue].now;//加入队列后,该顾客离开时间 wins[min_queue].now=leave[customer]; free_q--; customer++; } } }while(free_q>0&&customer<=k);//有空队列,无需等待 flag=1; for(j=0;j<n;j++){//对于每一个队列,判断当前是否有顾客 if(!wins[j].win.empty()) flag=0; } tick++; } for(i=0;i<q;i++){ inttotime(leave[query[i]],process[query[i]]); } return 0; }

本文介绍了一个银行排队系统的模拟算法,该算法考虑了多个服务窗口、每个窗口的最大排队人数及顾客选择最短队伍的行为特点,通过输入顾客的业务处理时间来预测每位顾客完成业务的具体时间。
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