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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Costello, M.J.: The greatest puzzles of all time. Prentice-Hall, Englewood Cliffs (1988)
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)
Kaye, R.: Minesweeper is NP-complete. Mathematical Intelligencer 22, 9–15 (2000)
Culberson, J.: Sokoban is PSPACE-complete. In: Proceedings of the International Conference on Fun with Algorithms, Carleton Scientific, pp. 65–76 (1998)
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)
Garey, M.R., Johnson, D.S.: Computers and Intractability: A Guide to the Theory of NP-Completeness. W.H. Freeman & Co, New York (1979)
Andersson, D.: Reduce 3-SAT to HIROIMONO, http://purl.org/net/koda/s2h.php
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2007 Springer Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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)