Category:Josephus Problem

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This category contains results about the Josephus problem.

Consider a collection of $n$ people in a circle.

Let them each be eliminated sequentially by counting out every $m$th person (closing the gap after each elimination).

For a given a number of people $n$, and a given step size $m$, the problem is to determine the initial position in the circle of the person who remains after all the others have been eliminated.