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International Conference on Fun with Algorithms

FUN 2007: Fun with Algorithms pp 30–39Cite as

HIROIMONO Is NP-Complete

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 4475)

Abstract

In a Hiroimono puzzle, one must collect a set of stones from a square grid, moving along grid lines, picking up stones as one encounters them, and changing direction only when one picks up a stone. We show that deciding the solvability of such puzzles is NP-complete.

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  • DOI: 10.1007/978-3-540-72914-3_5
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References

  1. Costello, M.J.: The greatest puzzles of all time. Prentice-Hall, Englewood Cliffs (1988)

    Google Scholar 

  2. Demaine, E.D., Hohenberger, S., Liben-Nowell, D.: Tetris is hard, even to approximate. In: Warnow, T.J., Zhu, B. (eds.) COCOON 2003. LNCS, vol. 2697, pp. 351–363. Springer, Heidelberg (2003)

    CrossRef  Google Scholar 

  3. Kaye, R.: Minesweeper is NP-complete. Mathematical Intelligencer 22, 9–15 (2000)

    MathSciNet  CrossRef  MATH  Google Scholar 

  4. Culberson, J.: Sokoban is PSPACE-complete. In: Proceedings of the International Conference on Fun with Algorithms, Carleton Scientific, pp. 65–76 (1998)

    Google Scholar 

  5. Yato, T., Seta, T.: Complexity and completeness of finding another solution and its application to puzzles. IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences 86, 1052–1060 (2003)

    Google Scholar 

  6. Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to the Theory of NP-Completeness. W.H. Freeman & Co, New York (1979)

    MATH  Google Scholar 

  7. Andersson, D.: Reduce 3-SAT to HIROIMONO, http://purl.org/net/koda/s2h.php

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Author information

Authors and Affiliations

  1. Department of Computer Science, University of Aarhus, Denmark

    Daniel Andersson

Authors
  1. Daniel Andersson
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Editor information

Editors and Affiliations

  1. Dipartimento di Sistemi e Informatica, Università degli Studi di Firenze, Viale Morgagni 65, 50134, Firenze, Italy

    Pierluigi Crescenzi

  2. Dipartimento di Informatica, Università degli Studi di Pisa, Largo Bruno Pontecorvo 3, 56127, Pisa, Italy

    Giuseppe Prencipe

  3. Dipartimento di Ingegneria dell’Informazione, Università degli Studi di Padova, Via Gradenigo 6/B, 35131, Padova, Italy

    Geppino Pucci

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Andersson, D. (2007). HIROIMONO Is NP-Complete. In: Crescenzi, P., Prencipe, G., Pucci, G. (eds) Fun with Algorithms. FUN 2007. Lecture Notes in Computer Science, vol 4475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-72914-3_5

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  • DOI: https://doi.org/10.1007/978-3-540-72914-3_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-72913-6

  • Online ISBN: 978-3-540-72914-3

  • eBook Packages: Computer ScienceComputer Science (R0)