1026 Table Tennis

本文介绍了一个乒乓球俱乐部的调度算法,该算法旨在优化俱乐部内多个乒乓球桌的使用效率,确保每位顾客的等待时间最短。通过优先考虑VIP会员的需求,同时兼顾普通顾客,算法实现了资源的有效分配。输入包括顾客到达时间、游玩时间及是否为VIP,输出为顾客的等待时间及每张桌子的服务人数。

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1026 Table Tennis
A table tennis club has N tables available to the public. The tables are numbered from 1 to N. For any pair of players, if there are some tables open when they arrive, they will be assigned to the available table with the smallest number. If all the tables are occupied, they will have to wait in a queue. It is assumed that every pair of players can play for at most 2 hours.

Your job is to count for everyone in queue their waiting time, and for each table the number of players it has served for the day.

One thing that makes this procedure a bit complicated is that the club reserves some tables for their VIP members. When a VIP table is open, the first VIP pair in the queue will have the priviledge to take it. However, if there is no VIP in the queue, the next pair of players can take it. On the other hand, if when it is the turn of a VIP pair, yet no VIP table is available, they can be assigned as any ordinary players.

Input Specification:
Each input file contains one test case. For each case, the first line contains an integer N (≤10000) - the total number of pairs of players. Then N lines follow, each contains 2 times and a VIP tag: HH:MM:SS - the arriving time, P - the playing time in minutes of a pair of players, and tag - which is 1 if they hold a VIP card, or 0 if not. It is guaranteed that the arriving time is between 08:00:00 and 21:00:00 while the club is open. It is assumed that no two customers arrives at the same time. Following the players’ info, there are 2 positive integers: K (≤100) - the number of tables, and M (< K) - the number of VIP tables. The last line contains M table numbers.

Output Specification:
For each test case, first print the arriving time, serving time and the waiting time for each pair of players in the format shown by the sample. Then print in a line the number of players served by each table. Notice that the output must be listed in chronological order of the serving time. The waiting time must be rounded up to an integer minute(s). If one cannot get a table before the closing time, their information must NOT be printed.

Sample Input:
9
20:52:00 10 0
08:00:00 20 0
08:02:00 30 0
20:51:00 10 0
08:10:00 5 0
08:12:00 10 1
20:50:00 10 0
08:01:30 15 1
20:53:00 10 1
3 1
2
Sample Output:
08:00:00 08:00:00 0
08:01:30 08:01:30 0
08:02:00 08:02:00 0
08:12:00 08:16:30 5
08:10:00 08:20:00 10
20:50:00 20:50:00 0
20:51:00 20:51:00 0
20:52:00 20:52:00 0
3 3 2
参考代码:(来源别处)

#include<iostream>
#include<vector>
#include<string>
#include<algorithm>
#include<cmath>
#define INF 999999999
using namespace std;
struct person{
	int arrive, start, time;
	bool vip;
}tempplayer;
struct tablenode{
	int end = 8 * 3600, num = 0;
	bool vip=false;
};
bool cmp(person a, person b) {
	return a.arrive < b.arrive;
}
bool cmp2(person a, person b) {
	return a.start < b.start;
}
vector<struct person>player;
vector<tablenode>table;
void allocat(int id, int tableid) {
	if (player[id].arrive <= table[tableid].end) {
		player[id].start = table[tableid].end;
	}
	else 
		player[id].start = player[id].arrive;
		
	table[tableid].end = player[id].start + player[id].time; 
	table[tableid].num++;
}
int findnextvip(int vipid) {                //查找vip玩家
	vipid++;
	while (vipid < player.size() && !player[vipid].vip) { vipid++; };
	return vipid;
}
int main() {
	int n, m, p, hh, mm, ss, t, tag, k;
	cin >> n;
	for (int i = 1; i <= n; i++) {                             //n个玩家
		scanf("%d:%d:%d %d %d", &hh, &mm, &ss, &t, &tag);
		tempplayer.arrive = hh * 3600 + mm * 60 + ss;
		if (tempplayer.arrive >= 21 * 3600)continue;
		if (t > 120)t = 120;
		tempplayer.start = 21 * 3600;
		tempplayer.time = t * 60;
		tempplayer.vip = ((tag == 1) ? true : false);
		/*(tag) ? tempplayer.vip = true : tempplayer.vip = false;*/
		player.push_back(tempplayer);
	}
	sort(player.begin(), player.end(), cmp);

	cin >> k >> m;
	table.resize(k + 1);                       //k张桌子
	for (int i = 0; i <m; i++) {               //m张vip桌子
		int j;
		cin >> j; 
		table[j].vip = true;
	}

	int i = 0,vipid = -1;
	vipid = findnextvip(vipid);

	while (i<player.size()){                  //一玩家到了

		int  minendtime = INF,index=-1;
		for (int j = 1; j <= k; j++) {              //寻找最早出现空闲的桌子
			if (table[j].end < minendtime) {
				minendtime = table[j].end;
				index = j;
			}
		}

		if (table[index].end >= 21 * 3600)break;  
		if (player[i].vip==true&&i < vipid){//该vip玩家已找到桌子
			 i++;continue;
		}
		if (table[index].vip) {             //vip桌子
			if (player[i].vip) {            //vip玩家
				allocat(i, index);
				if (i == vipid) {  vipid = findnextvip(vipid); }

				i++;
			}
			else {
				if (vipid < player.size() && player[vipid].arrive <= table[index].end) {  //有vip玩家在排队
					allocat(vipid, index);
					vipid = findnextvip(vipid);
				}
				else {                     //无vip玩家在排队
					allocat(i, index);
					i++;
				}

			}
		}
		else {                             //普通桌子
			if (!player[i].vip) {          //普通玩家
				allocat(i, index);      

				i++;
			}
			else {                        //vip玩家
				int vindex=-1, minvipendtime = INF;
				for (int j = 1; j <= k; j++) {  
					if (table[j].vip&&table[j].end < minvipendtime) {
						vindex = j;
						minvipendtime = table[j].end;
					}
				}
				if (vindex != -1 && table[vindex].end <= player[i].arrive) {  //vip来到时,有vip桌子空闲
					allocat(i, vindex);
					if (i == vipid)vipid = findnextvip(vipid); //???
					i++;
				}
				else {
					allocat(i, index);
					if (vipid == i)vipid = findnextvip(vipid);
					i++;
				}
			}
		}
	}
	sort(player.begin(), player.end(), cmp2);
	for (auto val : player) {
		if (val.start >= 21 * 3600)break;
		printf("%02d:%02d:%02d ", val.arrive / 3600, (val.arrive % 3600) / 60, val.arrive % 3600%60);
		printf("%02d:%02d:%02d ", val.start / 3600, (val.start % 3600) / 60, val.start % 3600 % 60);
		printf("%.0f\n", round((val.start - val.arrive) / 60.0));
	}
	for (int i = 1; i <= k; i++) {
		if (i != 1)cout << " ";
		cout << table[i].num;
	}

	return 0;
}
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