【UOJ Round #6】懒癌 / 题解

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Hat puzzles are logic problems that date back to as early as 1961.[1] Such hat puzzles, frequently contextualized as prisoners and hats puzzles, are induction puzzles (a kind of logic puzzle) that involve reasoning about the actions of other people, drawing in aspects of Game theory sometimes called the hierarchy of beliefs. There are many variations, but the central theme remains the same.