Problem A

Statement
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Description:
Alice and Bob are bored, so they decide to play a game with their wallets. Alice has $$$a$$$ coins in her wallet, while Bob has $$$b$$$ coins in his wallet.

Both players take turns playing, with Alice making the first move. In each turn, the player will perform the following steps in order:

1. Choose to exchange wallets with their opponent, or to keep their current wallets.
2. Remove $$$1$$$ coin from the player's current wallet. The current wallet cannot have $$$0$$$ coins before performing this step.

The player who cannot make a valid move on their turn loses. If both Alice and Bob play optimally, determine who will win the game.

Input Format:
Each test contains multiple test cases. The first line contains a single integer $$$t$$$ ($$$1 \leq t \leq 1000$$$) — the number of test cases. The description of the test cases follows.

The first and only line of each test case contains two integers $$$a$$$ and $$$b$$$ ($$$1 \le a, b \le 10^9$$$) — the number of coins in Alice's and Bob's wallets, respectively.

Output Format:
For each test case, output "Alice" if Alice will win the game, and "Bob" if Bob will win the game.

Note:
In the first test case, an example of the game is shown below:

- Alice chooses to not swap wallets with Bob in step 1 of her move. Now, $$$a=0$$$ and $$$b=1$$$.
- Since Alice's wallet is empty, Bob must choose to not swap their wallets in step 1 of his move. Now, $$$a=0$$$ and $$$b=0$$$.
- Since both Alice's and Bob's wallets are empty, Alice is unable to make a move. Hence, Bob wins.

In the second test case, an example of the game is shown below:

- Alice chooses to swap wallets with Bob in step 1 of her move. Now, $$$a=3$$$ and $$$b=1$$$.
- Bob chooses to swap wallets with Alice in step 1 of his move. Now, $$$a=1$$$ and $$$b=2$$$.
- Alice chooses to not swap wallets with Bob in step 1 of her move. Now, $$$a=0$$$ and $$$b=2$$$.
- Since Alice's wallet is empty, Bob can only choose to not swap wallets with Alice in step 1 of his move. Now, $$$a=0$$$ and $$$b=1$$$.
- Since Alice's wallet is empty, Alice can only choose to swap wallets with Bob in step 1 of her move. Now, $$$a=0$$$ and $$$b=0$$$.
- Since both Alice's wallet and Bob's wallet are empty, Bob is unable to make a move. Hence, Alice wins.