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The density function of the number of moves to complete the Towers of Hanoi puzzle

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Abstract

Any sequence of legal moves leads the Towers of Hanoi puzzle to an arrangement from which the final configuration must be built up. A recursive algorithm which finishes off the puzzle is considered and, assuming a uniform distribution on the possible unfinished situations, the density function of the number of moves it takes is derived.

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Authors and Affiliations

  1. Department of Mathematics, University of Milano, via Cicognara 7, I-20129, Milano, Italy

    F. Scarioni & M. G. Speranza

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  1. F. Scarioni
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  2. M. G. Speranza
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Scarioni, F., Speranza, M.G. The density function of the number of moves to complete the Towers of Hanoi puzzle. Ann Oper Res 1, 291–303 (1984). https://doi.org/10.1007/BF01874394

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  • DOI: https://doi.org/10.1007/BF01874394

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