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Vandaag is het 16 January 2018

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Cigarettes - logic puzzle

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Two men are sitting around a round table. They both have an infinite amount of cigarettes. The men are going to play a game. Each turn they have to lie down one cigarette on the table. The rules are simple: two cigarettes may never touch each other and the game will end when it is impossible to add another cigarette.

The one who lies down the last cigarette has won. Who will win this game (suppose that both players play the best possibly move), the one who starts the game or the one who plays the second cigarette?
table with cigarettes

Explanation

The man who starts should put his cigarette in the middle of the table (cigarette 1). The other man will put his cigarette on some place on the table (cigarrette 2). Then the player who started should put a cigarette on the place which is the mirror of the cigarette 2 (cigarette 3). There should always be space left there. He can continue this strategy. At some point the table is full, but that only will happen when it is the turn of the second player. Hence the one who begins will win. table with cigarettes