#include <iostream>
#include <string>
#include <vector>
#include <iterator>
using namespace std;
int main() {
    int n;
    cin >> n;

    string command, username, password; vector <string> names, passwords; vector <int> IsLogin(n); fill(IsLogin.begin(), IsLogin.end(), 0);
    for (int i = 0; i < n; i++) {
        cin >> command;
        if (command == "register") {
            cin >> username >> password;
            if (find(names.begin(), names.end(), username) == names.end()) {
                names.push_back(username);
                passwords.push_back(password);
                cout << "success: new user added" << '\n';
            }
            else
                cout << "fail: user already exists" << '\n';
        }
        if (command == "login"){
            cin >> username >> password;
            auto f = find(names.begin(), names.end(), username);
            if (f == names.end())
                cout << "fail: no such user" << '\n';
            else if (passwords[f - names.begin()] != password)
                cout << "fail: incorrect password" << '\n';
            else if (IsLogin[f - names.begin()] == 1)
                cout << "fail: already logged in" << '\n';
            else {
                IsLogin[f - names.begin()] = 1;
                cout << "success: user logged in" << '\n';
            }
        }
        if (command == "logout") {
            cin >> username;
            auto f = find(names.begin(), names.end(), username);
            if (f == names.end())
                cout << "fail: no such user" << '\n';
            else if (IsLogin[f - names.begin()] == 0)
                cout << "fail: already logged out" << '\n';
            else {
                IsLogin[f - names.begin()] = 0;
                cout << "success: user logged out" << '\n';
            }
        }
    }
}