#include <iostream>
#include <stdio.h>
#include <string>
#include <iomanip>
#include <stack>
#include <vector>
#include <algorithm>
#include <cmath>
#include <queue>
#include <map>

using namespace std;

struct status { //status - password and online
    string password;
    bool online = false;
};

map <string, status> database; //user database


int main () {
    int n; cin >> n; //number of queries
    typedef std::map<std::string, status> db; // use this typedef for using an iterator
    while (n--){
        string com, login; //command and login
        status query; //for status input
        cin >> com;
        if (com == "register"){
            cin >> login >> query.password;
            db::iterator it = database.find(login); //returning an iterator
            if (it != database.end()) { //each el from database is in [begin, end). it = database.end() means that there is no such element in db
                cout << "fail: user already exists\n";
            }
            else {
                database[login].password = query.password; // register
                cout << "success: new user added\n";
            }
        }
        //user can log in if he isn't online but he is registered
        if (com == "login") {
            cin >> login >> query.password;
            db::iterator it = database.find(login);
            if (it != database.end()){
                if (query.password == database[login].password){
                    if(!database[login].online){
                        database[login].online = true;
                        cout << "success: user logged in\n";
                    }
                    else cout << "fail: already logged in\n";
                }
                else cout << "fail: incorrect password\n";
            }
            else cout << "fail: no such user\n";
        }
        //logout
        if (com == "logout") {
            cin >> login;
            if (database.find(login) == database.end()) cout << "fail: no such user\n";
            else {
                if (!database[login].online) cout << "fail: already logged out\n";
                else {

                    database[login].online = false;
                    cout << "success: user logged out\n";
                }
            }
        }
    }
    return 0;
}