n = int(input())

users = {}
logged = {}

for i in range(n):
    a = input().split()
    if a[0] == 'register':
        if a[1] in users:
            print('fail: user already exists')
        else:
            print('success: new user added')
            users[a[1]] = a[2]
            logged[a[1]] = False
    elif a[0] == 'login':
        if a[1] not in logged:
            print('fail: no such user')
            continue
        if not users[a[1]] == a[2]:
            print('fail: incorrect password')
            continue
        if users[a[1]] == a[2] and not logged[a[1]]:
            print('success: user logged in')
            logged[a[1]] = True
        else:
            print('fail: already logged in')
    elif a[0] == 'logout':
        if a[1] not in users:
            print('fail: no such user')
        elif not logged[a[1]]:
            print('fail: already logged out')
        else:
            print('success: user logged out')
            logged[a[1]] = False