The fewest clues problem of picross 3D

Kei Kimura, Takuya Kamehashi, Toshihiro Fujito

研究成果: Chapter in Book/Report/Conference proceedingConference contribution

2 被引用数 (Scopus)

抄録

Picross 3D is a popular single-player puzzle video game for the Nintendo DS. It is a 3D variant of Nonogram, which is a popular pencil-and-paper puzzle. While Nonogram provides a rectangular grid of squares that must be filled in to create a picture, Picross 3D presents a rectangular parallelepiped (i.e., rectangular box) made of unit cubes, some of which must be removed to construct an image in three dimensions. Each row or column has at most one integer on it, and the integer indicates how many cubes in the corresponding 1D slice remain when the image is complete. It is shown by Kusano et al. that Picross 3D is NP-complete. We in this paper show that the fewest clues problem of Picross 3D is ΣP 2 -complete and that the counting version and the another solution problem of Picross 3D are #P-complete and NP-complete, respectively.

本文言語英語
ホスト出版物のタイトル9th International Conference on Fun with Algorithms, FUN 2018
編集者Giuseppe Prencipe, Hiro Ito, Stefano Leonardi, Linda Pagli
出版社Schloss Dagstuhl- Leibniz-Zentrum fur Informatik GmbH, Dagstuhl Publishing
ページ251-2513
ページ数2263
ISBN(電子版)9783959770675
DOI
出版ステータス出版済み - 6 1 2018
外部発表はい
イベント9th International Conference on Fun with Algorithms, FUN 2018 - La Maddalena Island, イタリア
継続期間: 6 13 20186 15 2018

出版物シリーズ

名前Leibniz International Proceedings in Informatics, LIPIcs
100
ISSN(印刷版)1868-8969

会議

会議9th International Conference on Fun with Algorithms, FUN 2018
国/地域イタリア
CityLa Maddalena Island
Period6/13/186/15/18

All Science Journal Classification (ASJC) codes

  • ソフトウェア

引用スタイル