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  • 标题:Mastermind is NP-Complete
  • 本地全文:下载
  • 作者:Jeff Stuckman ; Guo-Qiang Zhang
  • 期刊名称:INFOCOMP
  • 印刷版ISSN:1807-4545
  • 出版年度:2006
  • 卷号:5
  • 期号:2
  • 页码:25-28
  • 出版社:Federal University of Lavras
  • 摘要:In this paper we show that the Mastermind Satisfiability Problem (MSP) is NPcomplete. Mastermind is a popular game which can be turned into a logical puzzle called the Mastermind Satisfiability Problem in a similar spirit to the Minesweeper puzzle [5]. By proving that MSP is NP-complete, we reveal its intrinsic computational property that makes it challenging and interesting. This serves as an addition to our knowledge about a host of other puzzles, such as Minesweeper [5], Mah-Jongg [1], and the 15-puzzle [6].
  • 关键词:Mastermind, complexity, puzzle, game
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