TUYMAADA 2023 S5
- Senior
A small ship sails on an infinite coordinate sea. At the moment the ship is at the point with coordinates , where and are two polynomials of third degree. Yesterday at the ship was at the same point as at , and at , it was at the same point as at . Prove that the ship sails along a straight line.
Dataset text AI-MO AoPS. Quoted with source.
Official text: Tuymaada Olympiad 2023 official paper, page 1.
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