PAT (Advanced Level) 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.
CustomeriCustomer_iCustomeri will take TiT_iTiminutes 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, customer1customer_1customer1 is served at window1window_1window1while customer2customer_2customer2 is served at window2window_2window2. Customer3Customer_3Customer3 will wait in front of window1window_1window1 and customer4customer_4customer4 will wait in front of window2window_2window2. Customer5Customer_5Customer5
will wait behind the yellow line.
At 08:01, customer1customer_1customer1 is done and customer5customer_5customer5 enters the line in front of window1window_1window1 since that line seems shorter now. Customer2Customer_2Customer2 will leave at 08:02, customer4customer_4customer4at 08:06, customer3customer_3customer3 at 08:07, and finally customer5customer_5customer5 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
这题不难,但是要注意细节,一开始Sorry首字母没大写查了好久没查出来,还有题目中说是开始时间要再17:00之前,不是结束时间。
#include <bits/stdc++.h>
using namespace std;
int pasttime[25], T[1005], ans[1005];
queue<int> line[25];
int n, m, k, q;
int out(){
int Minnum = 10000000, Minid = 1;
for (int i = 1; i <= n; i++){
if (pasttime[i] + T[line[i].front()] < Minnum){
Minnum = pasttime[i] + T[line[i].front()];
Minid = i;
}
}
pasttime[Minid] += T[line[Minid].front()];
ans[line[Minid].front()] = pasttime[Minid];
line[Minid].pop();
return Minid;
}
int main() {
cin >> n >> m >> k >> q;
for (int i = 1; i <= k; i++) cin >> T[i];
int id = 1;
for (int i = 1; i <= m; i++){
for (int j = 1; j <= n; j++){
if (id <= k) line[j].push(id++);
else break;
}
}
while (id <= k){
int win = out();
line[win].push(id++);
}
for (int i = 1; i <= n; i++){
while (line[i].size()){
pasttime[i] += T[line[i].front()];
ans[line[i].front()] = pasttime[i];
line[i].pop();
}
}
for (int i = 1; i <= q; i++){
int x, HH = 0, MM = 0;
cin >> x;
//cout << ans[x] << "\n";
if (ans[x] - T[x] >= 540) cout << "Sorry\n";
else{
HH = 8 + ans[x] / 60;
MM = ans[x] % 60;
printf("%02d:%02d\n", HH, MM);
}
}
return 0;
}
本文解析了一个PAT(Advanced Level)的算法题目,详细介绍了银行排队系统的模拟实现,包括顾客选择最短队伍、窗口服务时间和处理顾客查询的具体算法。通过实例演示了如何计算每个顾客完成交易的确切时间,并提供了完整的C++代码实现。
1352

被折叠的 条评论
为什么被折叠?



