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Alice and Bob are playing a game with some apples and bananas. The rules are as follows.
The game starts with Alice and Bob piling up a stack of fruits consisting of apples and bananas. Alice and Bob take turns removing apples and/or bananas from the pile, starting with Alice. Each turn, Alice or Bob may remove a) one apple, b) one banana, c) three apples and one banana, or d) one apple and three bananas. Fruits may only be removed in exact numbers; it is illegal to remove one apple and two bananas in a turn. The person to remove the last fruit from the pile wins the game. If there are no fruits to begin with, Bob immediately wins the game.
Assuming Alice and Bob both play optimally, determine if Alice or Bob wins the game with the given number of apples and bananas.
The numbers of apples (a) and bananas (b), separated with a space. (0 ≤ a, b ≤ 1,000)
The name of the person who wins the game with the given number of apples and bananas.