The Number of Inequality Signs in the Design of Futoshiki Puzzle

• Item type: Journal(1)
• 公開日: 2012-11-15
• タイトル: The Number of Inequality Signs in the Design of Futoshiki Puzzle
• タイトル / 言語: en
• タイトル: The Number of Inequality Signs in the Design of Futoshiki Puzzle
• 言語: eng
• キーワード / 主題Scheme: Other
• キーワード / 主題: [特集：ゲームプログラミング] Puzzle construction, Futoshiki puzzle, Latin square
• 資源タイプ / 資源タイプ識別子: http://purl.org/coar/resource_type/c_6501
• 資源タイプ: journal article
• 著者所属: Faculty of Science and Engineering, Ishinomaki Senshu University
• 著者所属(英): en
• 著者所属(英): Faculty of Science and Engineering, Ishinomaki Senshu University
• 著者名: Kazuya, Haraguchi
• 著者名(英): Kazuya, Haraguchi
• 論文抄録 / 内容記述タイプ: Other
• 論文抄録 / 内容記述: In this paper, we study how many inequality signs we should include in the design of Futoshiki puzzle. A problem instance of Futoshiki puzzle is given as an n × n grid of cells such that some cells are empty, other cells are filled with integers in [n] = {1,2,...,n}, and some pairs of two adjacent cells have inequality signs. A solver is then asked to fill all the empty cells with integers in [n] so that the n2 integers in the grid form an n × n Latin square and satisfy all the inequalities. In the design of a Futoshiki instance, we assert that the number of inequality signs should be an intermediate one. To draw this assertion, we compare Futoshiki instances that have different numbers of inequality signs from each other. The criterion is the degree to which the condition on inequality is used to solve the instance. If this degree were small, then the instance would be no better than one of a simple Latin square completion puzzle like Sudoku, with unnecessary inequality signs. Since we are considering Futoshiki puzzle, it is natural to take an interest in instances with large degrees. As a result of the experiments, the Futoshiki instances which have an intermediate number of inequality signs tend to achieve the largest evaluation values, rather than the ones which have few or many inequality signs.; ------------------------------; This is a preprint of an article intended for publication Journal of; Information Processing(JIP). This preprint should not be cited. This; article should be cited as: Journal of Information Processing Vol.21(2013) No.1 (online); DOI http://dx.doi.org/10.2197/ipsjjip.21.26; ------------------------------
• 論文抄録(英) / 内容記述タイプ: Other
• 論文抄録(英) / 内容記述: In this paper, we study how many inequality signs we should include in the design of Futoshiki puzzle. A problem instance of Futoshiki puzzle is given as an n × n grid of cells such that some cells are empty, other cells are filled with integers in [n] = {1,2,...,n}, and some pairs of two adjacent cells have inequality signs. A solver is then asked to fill all the empty cells with integers in [n] so that the n2 integers in the grid form an n × n Latin square and satisfy all the inequalities. In the design of a Futoshiki instance, we assert that the number of inequality signs should be an intermediate one. To draw this assertion, we compare Futoshiki instances that have different numbers of inequality signs from each other. The criterion is the degree to which the condition on inequality is used to solve the instance. If this degree were small, then the instance would be no better than one of a simple Latin square completion puzzle like Sudoku, with unnecessary inequality signs. Since we are considering Futoshiki puzzle, it is natural to take an interest in instances with large degrees. As a result of the experiments, the Futoshiki instances which have an intermediate number of inequality signs tend to achieve the largest evaluation values, rather than the ones which have few or many inequality signs.; ------------------------------; This is a preprint of an article intended for publication Journal of; Information Processing(JIP). This preprint should not be cited. This; article should be cited as: Journal of Information Processing Vol.21(2013) No.1 (online); DOI http://dx.doi.org/10.2197/ipsjjip.21.26; ------------------------------
• 書誌レコードID / 収録物識別子タイプ: NCID
• 書誌レコードID / 収録物識別子: AN00116647
• 書誌情報: 情報処理学会論文誌; 巻 53, 号 11, 発行日 2012-11-15
• ISSN / 収録物識別子タイプ: ISSN
• ISSN / 収録物識別子: 1882-7764