Sign In Pages

Implement the endpoints of three sign-in pages: Register, Login and Logout. Process n requests in order and output the return value of each request.

register username password: if the username is not registered, create the user and return Registered Successfully (registering does not log the user in); if the username already exists, return Username already exists, leaving the existing password and login state unchanged. login username password: if the user exists, the password matches and the user is not currently logged in, the login succeeds and returns Logged In Successfully; otherwise return Login Unsuccessful. A logged-in user who logs in again always fails, and the original session stays active. logout username: if the user is currently logged in, log them out and return Logged Out Successfully; if the user does not exist or is not logged in, return Logout Unsuccessful.

Initially there are no users. Requests are executed in input order. Usernames and passwords are case-sensitive, users do not affect each other's state, and a failed request changes no state.

输入格式

The first line contains n. Each of the next n lines contains one request: register username password, login username password, or logout username, with fields separated by a single space. 1≤n≤10^6; username and password are alphanumeric strings (0-9, a-z, A-Z) of length 1..10.

输出格式

Output n lines; line i is the return value of request i, which is one of Registered Successfully, Username already exists, Logged In Successfully, Login Unsuccessful, Logged Out Successfully, Logout Unsuccessful.

样例 1

输入：

5
register david david123
register adam 1Adam1
login david david123
login adam 1adam1
logout david

输出：

Registered Successfully
Registered Successfully
Logged In Successfully
Login Unsuccessful
Logged Out Successfully

样例 2

输入：

8
register Bob pw1
register Bob pw2
login Bob pw2
login Bob pw1
login Bob pw1
logout bob
logout Bob
logout Bob

输出：

Registered Successfully
Username already exists
Login Unsuccessful
Logged In Successfully
Login Unsuccessful
Logout Unsuccessful
Logged Out Successfully
Logout Unsuccessful

样例 3

输入：

5
login ghost pw
logout ghost
register ghost pw
logout ghost
login ghost pw

输出：

Login Unsuccessful
Logout Unsuccessful
Registered Successfully
Logout Unsuccessful
Logged In Successfully

样例说明

Example 1: david and adam register successfully; david logs in with the correct password; adam's password 1adam1 differs in case from 1Adam1 used at registration, so the login fails; david is logged in, so the logout succeeds. Example 2: Bob's repeated registration fails and does not overwrite the password; logging in with pw2 fails and with pw1 succeeds; logging in again while logged in fails; logout bob fails because of the different case, then Bob logs out successfully, and logging out again fails. Example 3: an unregistered user fails both to log in and to log out; a user who has just registered but has not logged in fails to log out.