Jang-Woo Park, Ali Doğan, Ricardo Teixeira

Block Josephus Problem: When the reality is more cruel than the old story

In the Josephus Problem, there are $n$ people numbered from $0$ to $n-1$ around a circle and proceeding around the circle every second person is executed until no one survives. Determining where to stand on the circle to be the last survivor is called the Josephus Problem. In this paper, we present a generalized version of the Josephus Problem and study cases where multiple executions occur at each iteration. Especially, we focus on the Block Josephus problem where the number of skips and the number of executions are the same. In particular, we present nonrecursive formulas for the initial positions of survivors in the Block Josephus Problem.

Keywords:

Discrete Mathematics, Josephus problem, function iterations,

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Hacettepe Journal of Mathematics and Statistics-Cover

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

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