KöMaL 2025 C1838
We have written numbers 1, 2, 3, , 2024, 2025 on the blackboard. Farkas and Piroska take turns deleting the numbers from the blackboard until only two numbers remain on the blackboard. Piroska wins if the sum of the last two numbers is divisible by 11. How can Piroska win this game, if she starts the game? (Based on a German competition problem)
Official text KöMaL. Quoted with source.
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