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research-article

Classic Nintendo games are (computationally) hard

Published: 27 June 2015 Publication History

Abstract

We prove NP-hardness results for five of Nintendo's largest video game franchises: Mario, Donkey Kong, Legend of Zelda, Metroid, and Pokémon. Our results apply to generalized versions of Super Mario Bros. 1-3, The Lost Levels, and Super Mario World; Donkey Kong Country 1-3; all Legend of Zelda games; all Metroid games; and all Pokémon role-playing games. In addition, we prove PSPACE-completeness of the Donkey Kong Country games and several Legend of Zelda games.

References

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Graham Cormode, The hardness of the Lemmings game, or Oh no, more NP-completeness proofs, in: Proceedings of the 3rd International Conference on Fun with Algorithms, May 2004, pp. 65-76.
[2]
Erik D. Demaine, Martin L. Demaine, Joseph O'Rourke, PushPush and Push-1 are NP-hard in 2D, in: Proceedings of the 12th Annual Canadian Conference on Computational Geometry, August 2000, pp. 211-219.
[3]
Erik D. Demaine, Michael Hoffmann, Markus Holzer, PushPush-k is PSPACE-complete, in: Proceedings of the 3rd International Conference on Fun with Algorithms, May 2004, pp. 159-170.
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Michal Forišek, Computational complexity of two-dimensional platform games, in: Proceedings of the 5th International Conference on Fun with Algorithms, June 2010, pp. 214-226.
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Giovanni Viglietta, Gaming is a hard job, but someone has to do it!, Theory Comput. Syst., 54 (2014) 595-621.
[6]
Giovanni Viglietta, Lemmings is PSPACE-complete, in: Proceedings of the 7th International Conference on Fun with Algorithms, July 2014, pp. 340-351.
[7]
. http://www.mariowiki.com/Super_Mario_Bros
[8]
. http://donkeykong.wikia.com/wiki/Donkey_Kong_Country
[9]
. http://www.zeldawiki.org/The_Legend_of_Zelda_(Game)
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. http://www.zeldawiki.org/The_Legend_of_Zelda:_A_Link_to_the_Past
[11]
. http://www.metroidwiki.org/wiki/Metroid_(game)
[12]
. http://spriters-resource.com/
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. http://www.videogamesprites.net/
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. http://www.nesmaps.com/
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. http://www.snesmaps.com/
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Masterjun, SNES Super Mario World (USA) "glitched" in 02:36.4, 2012. http://www.youtube.com/watch?v=Syo5sI-iOgY

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  • (2024)CoplayingVR: Understanding User Experience in Shared Control in Virtual RealityProceedings of the ACM on Interactive, Mobile, Wearable and Ubiquitous Technologies10.1145/36785088:3(1-25)Online publication date: 9-Sep-2024
  • (2024)PairPlayVR: Shared Hand Control for Virtual GamesProceedings of the Augmented Humans International Conference 202410.1145/3652920.3653057(311-314)Online publication date: 4-Apr-2024
  • (2024)Damage Optimization in Video Games: A Player-Driven Co-Creative ApproachProceedings of the 2024 CHI Conference on Human Factors in Computing Systems10.1145/3613904.3642643(1-16)Online publication date: 11-May-2024

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Published In

cover image Theoretical Computer Science
Theoretical Computer Science  Volume 586, Issue C
June 2015
175 pages

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Elsevier Science Publishers Ltd.

United Kingdom

Publication History

Published: 27 June 2015

Author Tags

  1. Computational complexity
  2. NP-hardness
  3. Nintendo games
  4. PSPACE-hardness
  5. Video games

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Cited By

View all
  • (2024)CoplayingVR: Understanding User Experience in Shared Control in Virtual RealityProceedings of the ACM on Interactive, Mobile, Wearable and Ubiquitous Technologies10.1145/36785088:3(1-25)Online publication date: 9-Sep-2024
  • (2024)PairPlayVR: Shared Hand Control for Virtual GamesProceedings of the Augmented Humans International Conference 202410.1145/3652920.3653057(311-314)Online publication date: 4-Apr-2024
  • (2024)Damage Optimization in Video Games: A Player-Driven Co-Creative ApproachProceedings of the 2024 CHI Conference on Human Factors in Computing Systems10.1145/3613904.3642643(1-16)Online publication date: 11-May-2024

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