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BALTIC-WAY 2021 Problem 7

  • Answer

Let n>2n>2 be an integer. Anna, Edda and Magni play a game on a hexagonal board tiled with regular hexagons, with nn tiles on each side. The figure shows a board with 5 tiles on each side. The central tile is marked.

Dataset text NuminaMath olympiads. Quoted with source.

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n \equiv 1(\bmod 3)

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