Tower Breakers

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    Description: In each turn, a player can choose a tower of height and reduce its height to, where and evenly divides. There are towers, each 6 units tall. Player has a choice of two moves: - remove 3 pieces from a tower to leave 3, as 6 mod 3 == 0 - remove 5 pieces to leave 1
    In what world does 5 evenly divide 6 ? This is not a test of programmers skill, but pure pure mathematics and ones ability to interprete a badly written set of requirements.