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DE-BUNDESWETTBEWERB 2007 Problem 6

  • Round 2

At the start of the game there are rr red and gg green pieces/stones on the table. Hojoo and Kestutis make moves in turn. Hojoo starts. The person due to make a move, chooses a colour and removes kk pieces of this colour. The number kk has to be a divisor of the current number of stones of the other colour. The person removing the last piece wins. Who can force the victory?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Bundeswettbewerb Mathematik 2007 official paper, page 1.

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