#include <iostream>
#include <string>
#include <map>
#include <set>
#include <vector>

using namespace std;

int main()
{
    vector<string> results;

    int n;
    cin >> n;
    map<string, string> system;
    set<string> logged;
    for (int i = 0; i < n; i++)
    {
        string operation, username, password;
        cin >> operation;
        if (operation == "register")
        {
            cin >> username >> password;
            if (system.find(username) == system.end())
            {
                cout << "success: new user added" << endl;
                system[username] = password;
            }
            else
            {
                cout << "fail: user already exists" << endl;
            }
        }
        if (operation == "login")
        {
            cin >> username >> password;
            if (system.find(username) == system.end())
            {
                cout << "fail: no such user" << endl;
            }
            if (system.find(username) != system.end())
            {
                 if (system[username] == password && logged.find(username) != logged.end())
                 {
                     cout << "fail: already logged in" << endl;
                 }
                 if (system[username] == password && logged.find(username) == logged.end())
                 {
                    cout << "success: user logged in" << endl;
                    logged.insert(username);
                 }
                 if (system[username] != password)
                 {
                     cout << "fail: incorrect password" << endl;
                 }
            }
        }
        if (operation == "logout")
        {
            cin >> username;
            if (system.find(username) == system.end())
            {
                cout << "fail: no such user" << endl;
            }
            else
            {
                if (logged.find(username) == logged.end())
                {
                    cout << "fail: already logged out" << endl;
                }
                else
                {
                    cout << "success: user logged out" << endl;
                    logged.erase(username);
                }
            }
        }
    }
    return 0;
}