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MathNet 2025-part-02 — 186 problems (EN–VI) Question 107

Math Olympiad Vault · MathNet 2025-part-02 — 186 problems (EN–VI)

Question 107

100 stones are placed next to each other in a row: black, white, black, white, ..., black, white. In each move, it is allowed to choose two black stones between which all stones are white and paint those white stones black, or choose two white stones with all stones between them black and paint those black stones white. Is it possible after several moves to get a situation where the first 50 stones in the row are black and the last 50 are white?