write a go solution for Description: Alice and Bob are playing a game. They start with a positive integer n and take alternating turns doing operations on it. Each turn a player can subtract from n one of its divisors that isn't 1 or n. The player who cannot make a move on his/her turn loses. Alice always moves first. Note that they subtract a divisor of the current number in each turn. You are asked to find out who will win the game if both players play optimally. Input Format: The first line contains a single integer t (1<=t<=10^4) — the number of test cases. Then t test cases follow. Each test case contains a single integer n (1<=n<=10^9) — the initial number. Output Format: For each test case output "Alice" if Alice will win the game or "Bob" if Bob will win, if both players play optimally. Note: In the first test case, the game ends immediately because Alice cannot make a move. In the second test case, Alice can subtract 2 making n=2, then Bob cannot make a move so Alice wins. In the third test case, Alice can subtract 3 so that n=9. Bob's only move is to subtract 3 and make n=6. Now, Alice can subtract 3 again and n=3. Then Bob cannot make a move, so Alice wins.. Output only the code with no comments, explanation, or additional text.