Alice and Bob are playing badminton. The winning conditions for each game of badminton are as follows: If a player reaches at least 21 points and leads the opponent by at least 2 points, they win. If a player reaches 30 points, they win.

Given the current score $a : b$, where Alice's score is $a$ and Bob's score is $b$, you, as the referee, need to determine if anyone has already won.

Input

The input consists of a single line containing two non-negative integers $a, b$ ($0 \le a, b \le 30$), representing the scores of Alice and Bob, respectively. It is guaranteed that the given score is one that could occur during a game.

Output

If Alice has won, output Alice. If Bob has won, output Bob. If no one has won yet, output Underway.

Examples

Input 1

21 15

Output 1

Alice

Input 2

29 30

Output 2

Bob

Input 3

22 21

Output 3

Underway