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Alice and Bob are playing a game with a pile of n marbles. On each turn a player removes Xi marbles such that Xi form a non-increasing sequence. For each n, determine the winner given that X1 != n. Alice goes first.
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Quantitative Researcher

Interviewed at Graviton Research Capital

4.1
Dec 15, 2025

Alice and Bob are playing a game with a pile of n marbles. On each turn a player removes Xi marbles such that Xi form a non-increasing sequence. For each n, determine the winner given that X1 != n. Alice goes first.

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