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BALTIC-WAY 2025 Problem 6

    Let n≥3n \geq 3 friends play dodgeball. Initially all players are free. When a free player AA knocks out another free player BB, AA imprisons BB and frees all players currently imprisoned by BB. Two knock-outs cannot happen at the same time.

    Find the least number of knock-outs after which it is possible that among every two players at least one has freed the other one.

    Official text Baltic Way 2025 official paper, page 1. Quoted with source.

    A model read this text from the scan of the paper by OCR, with vision/local (GLM-OCR-8bit). No person has checked it against the paper yet.

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