15 puzzle (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "15 puzzle" in English language version.

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aaai.org

  • Korf, R. E. (2000), "Recent Progress in the Design and Analysis of Admissible Heuristic Functions" (PDF), in Choueiry, B. Y.; Walsh, T. (eds.), Abstraction, Reformulation, and Approximation (PDF), SARA 2000. Lecture Notes in Computer Science, vol. 1864, Springer, Berlin, Heidelberg, pp. 45–55, doi:10.1007/3-540-44914-0_3, ISBN 978-3-540-67839-7, archived from the original (PDF) on 2010-08-16, retrieved 2010-04-26
  • Ratner, Daniel; Warmuth, Manfred (1986). "Finding a Shortest Solution for the N × N Extension of the 15-PUZZLE Is Intractable" (PDF). National Conference on Artificial Intelligence. Archived (PDF) from the original on 2012-03-09.

acm.org

dl.acm.org

  • Richard E. Korf, Linear-time disk-based implicit graph search, Journal of the ACM Volume 55 Issue 6 (December 2008), Article 26, pp. 29-30. "For the 4 × 4 Fifteen Puzzle, there are 17 different states at a depth of 80 moves from an initial state with the blank in the corner, while for the 2 × 8 Fifteen Puzzle there is a unique state at the maximum state of 140 moves from the initial state."

cornellmath.wordpress.com

cubezzz.duckdns.org

cubezzz.dyndns.org

doi.org

  • Korf, R. E. (2000), "Recent Progress in the Design and Analysis of Admissible Heuristic Functions" (PDF), in Choueiry, B. Y.; Walsh, T. (eds.), Abstraction, Reformulation, and Approximation (PDF), SARA 2000. Lecture Notes in Computer Science, vol. 1864, Springer, Berlin, Heidelberg, pp. 45–55, doi:10.1007/3-540-44914-0_3, ISBN 978-3-540-67839-7, archived from the original (PDF) on 2010-08-16, retrieved 2010-04-26
  • Ratner, Daniel; Warmuth, Manfred (1990). "The (n2−1)-puzzle and related relocation problems". Journal of Symbolic Computation. 10 (2): 111–137. doi:10.1016/S0747-7171(08)80001-6.

etsu.edu

faculty.etsu.edu

iastate.edu

cs.iastate.edu

  • Korf, R. E. (2000), "Recent Progress in the Design and Analysis of Admissible Heuristic Functions" (PDF), in Choueiry, B. Y.; Walsh, T. (eds.), Abstraction, Reformulation, and Approximation (PDF), SARA 2000. Lecture Notes in Computer Science, vol. 1864, Springer, Berlin, Heidelberg, pp. 45–55, doi:10.1007/3-540-44914-0_3, ISBN 978-3-540-67839-7, archived from the original (PDF) on 2010-08-16, retrieved 2010-04-26

neverendingbooks.org

umontreal.ca

iro.umontreal.ca

  • A. Brüngger, A. Marzetta, K. Fukuda and J. Nievergelt, The parallel search bench ZRAM and its applications, Annals of Operations Research 90 (1999), pp. 45–63.
    :"Gasser found 9 positions, requiring 80 moves...We have now proved that the hardest 15-puzzle positions require, in fact, 80 moves. We have also discovered two previously unknown positions, requiring exactly 80 moves to be solved."

web.archive.org

  • Korf, R. E. (2000), "Recent Progress in the Design and Analysis of Admissible Heuristic Functions" (PDF), in Choueiry, B. Y.; Walsh, T. (eds.), Abstraction, Reformulation, and Approximation (PDF), SARA 2000. Lecture Notes in Computer Science, vol. 1864, Springer, Berlin, Heidelberg, pp. 45–55, doi:10.1007/3-540-44914-0_3, ISBN 978-3-540-67839-7, archived from the original (PDF) on 2010-08-16, retrieved 2010-04-26
  • Ratner, Daniel; Warmuth, Manfred (1986). "Finding a Shortest Solution for the N × N Extension of the 15-PUZZLE Is Intractable" (PDF). National Conference on Artificial Intelligence. Archived (PDF) from the original on 2012-03-09.
  • "m × n puzzle (current state of the art)". Sliding Tile Puzzle Corner.
  • Beeler, Robert. "The Fifteen Puzzle: A Motivating Example for the Alternating Group" (PDF). faculty.etsu.edu/. East Tennessee State University. Archived from the original (PDF) on 7 January 2021. Retrieved 26 December 2020.

youtube.com