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USING RECURSIONN!!! JAVA CODE Coin game: Alice and Bob are playing a game using a bunch of coins. The players pick several coins out of

USING RECURSIONN!!! JAVA CODE

Coin game: Alice and Bob are playing a game using a bunch of coins. The players pick several coins out of the bunch in turn. Each time a player is allowed to pick 1, 2 or 4 coins, and the player that gets the last coin is the winner. Assume that both players are very smart and he/she will try his/her best to work out a strategy to win the game. For example, if there are 2 coins and Alice is the rst player to pick, she will denitely pick 2 coins and win. If there are 3 coins and Alice is still the rst player to pick, no matter she picks 1 or 2 coins, Bob will get the last coin and win the game. Given the number of coins and the order of players (which means the rst and the second players to pick the coins), you are required to write a program pickcoin.java to calculate the winner of the game, and calculate how many different strategies there are for he/she to win the game. You should use recursion to solve the problem, and the parameters are read from the command line. You can assume that there are no more than 35 coins.

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