منابع مشابه
Fillmat is NP-Complete and ASP-Complete
We study the computational complexity of a packing puzzle Fillmat, which is a type of pencil-and-paper puzzles made by Japanese puzzle publisher Nikoli. We show that the problem to decide if a given instance of Fillmat has a solution is NP-complete by a reduction from the circuit-satisfiability problem (Circuit-SAT). Our reduction is carefully designed so that we can also prove ASP-completeness...
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We study the computational complexity of packing puzzles of identical polyominoes. Packing dominoes (i.e., 1 × 2 rectangles) into grid polygons can be solved in polynomial time by reducing to a bipartite matching problem. On the other hand, packing 2 × 2 squares is known to be NP-complete. In this paper, we fill the gap between dominoes and 2 × 2 squares, that is, we consider the packing puzzle...
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We show that overloading is NP-complete. This solves exercise 6.25 in the 1986 version of the Dragon book.
متن کاملMastermind is NP-Complete
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 ...
متن کاملBLOCKSUM is NP-Complete
SUMMARY BlockSum, also known as KeisanBlock in Japanese, is a Latin square filling type puzzle, such as Sudoku. In this paper, we prove that the decision problem whether a given instance of BlockSum has a solution or not is NP-complete.
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ژورنال
عنوان ژورنال: Journal of Information Processing
سال: 2015
ISSN: 1882-6652
DOI: 10.2197/ipsjjip.23.310