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OPM 2023 Problem 1

  • Final day 1

Ana, Bruno and Carolina played table tennis with each other. In each game, only two of the friends played, with the third one resting. Every time one of the friends won a game, they rested during the next game. Ana played 1212 games, Bruno played 2121 games and Carolina rested for 88 games. Who rested in the last game?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Portuguese Mathematical Olympiad 2023 official paper, page 1.

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