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KöMaL 2012 B4414

    There are 98 sticks lying on the table, their lengths are 1,2,3,...,98 units. Ann and Bill play the following game: With Ann starting the game, they take turns removing one stick of their choice. The game ends when there remain exactly three sticks on the table. Ann wins if the three sticks can form a triangle. Otherwise, Bill wins. Which player has a winning strategy?

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