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Penny Piles

This is another two-player game. The initial position is three piles of pennies (or some other object). The first pile has 3 pennies, the second pile has 5 pennies, and the third has 7 pennies. Players alternately take turns, which consists of removing any positive number of pennies from any one pile. The winner is the player who removes the very last penny. What is a good strategy? Who will win?

Carl Lee
Wed Apr 21 08:26:07 EDT 1999