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SE-SKOLORNAS 2009 Problem 6

    On a table lie 289289 coins that form a square array 17×1717 \times 17 . All coins are facing with the crown up. In one move, it is possible to reverse any five coins lying in a row: vertical, horizontal or diagonal. Is it possible that after a number of such moves, all the coins to be arranged with tails up?

    Dataset text AI-MO AoPS. Quoted with source.

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