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DE-BUNDESWETTBEWERB 2019 Problem 5

    120120 pirates distribute 119119 gold pieces among themselves. Then the captain checks if any pirate has 1515 or more gold pieces. If he finds the first one, he must give all his gold pieces to other pirates, whereby he may not give more than one gold piece to anyone. This control is repeated as long as there is any pirate with 1515 or more gold pieces. Does this process end after a lot of checks?

    Dataset text AI-MO AoPS. Quoted with source.

    Official text: Bundeswettbewerb Mathematik 2019 official paper, page 1.

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