Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4950820 | Information Processing Letters | 2017 | 5 Pages |
Abstract
Morpion Solitaire is a pencil-and-paper game for a single player. A move in this game consists of putting a cross at a lattice point and then drawing a line segment that passes through exactly five consecutive crosses. The objective is to make as many moves as possible, starting from a standard initial configuration of crosses. For one of the variants of this game, called 5D, we prove an upper bound of 121 on the number of moves. This is done by introducing line-based analysis, and improves the known upper bound of 138 obtained by potential-based analysis.
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Related Topics
Physical Sciences and Engineering
Computer Science
Computational Theory and Mathematics
Authors
Akitoshi Kawamura, Yuichi Tatsu, Yushi Uno, Masahide Yamato,