A math
class with Ò*n*Ó students sits in a circle to play *mathematical chairs*. The students choose an elimination number Ò*d*Ó and then count off in order, 1, 2, 3, É . When the count gets to *d*, that student
is eliminated from the game. The next
student starts the count over and the
students count 1, 2, 3, É . Again, when the count
gets to *d*, that student is eliminated. Continue in this manner until only one student is left. That student wins the game.

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¥** Where should you sit in order to win the game?**

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Hint:
Solve the problem first for elimination number 2 or 3 and then try to solve it for elimination number *d*.

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¥ Note: This is a version
of The Ring of Josephus problem.