PrepBytes Interview Puzzle Series: Coins Circular Table

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Suppose two players, player A and player B have the infinite number of coins. Now they are sitting near a perfectly round table and going to play a game. The game is, in each turn, a player will put one coin anywhere on the table (not on the top of coin already placed on the table, but on the surface of the table). And the player who places the last coin on the table will win the game. Given player A will always move first suggest a strategy such that player A will always win, no matter how player B will play.
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If there are two players, Player A and B . Player A put his first coin at center of table and let player B place the coin wherever he wants, then Player( A ) place coin in the place where it will form a straight line from previously player B's coin and previously Player A's coin. By following this strategy Player A always Win .

saisumanth