Shikaku

From Wikipedia, the free encyclopedia

Template:Short description

Page Template:Multiple image/styles.css has no content.

An initial configuration.

Script error: No such module "Nihongo". is a logic puzzle published by Nikoli.

History

The game was invented by Yoshinao Anpuku, a math student at the University of Kyoto, in 1989 and published by Japanese games magazine Nikoli under the name "Shikaku". The puzzle later spread to other publications and has been adapted into video games.[1]

Rules

Shikaku is played on a rectangular grid. Some of the squares in the grid are numbered. The objective is to divide the grid into rectangular and square pieces such that each piece contains exactly one number, and that number represents the area of the rectangle.[2]

Computational complexity

Determining whether a given instance of Shikaku has a valid solution has been proven to be NP-complete.[3]

See also

References

Page Template:Reflist/styles.css has no content.

  1. ^ Page Module:Citation/CS1/styles.css has no content.Bellos, Alex (May 23, 2022). "Inside Japan's Cult-Favorite Puzzle Laboratory". Atlas Obscura. Retrieved May 14, 2024.
  2. ^ Page Module:Citation/CS1/styles.css has no content.Wanko, Jeffrey J. (November 2009). "Japanese logic puzzles and proof". The Mathematics Teacher. 103 (4). National Council of Teachers of Mathematics: 266–271. doi:10.5951/mt.103.4.0266. JSTOR 20876604.
  3. ^ Page Module:Citation/CS1/styles.css has no content.Takenaga, Yasuhiko; Aoyagi, Shintaro; Iwata, Shigeki; Kasai, Takumi (2013). "Shikaku and ripple effect are NP-complete". Congressus Numerantium. 216: 119–127. MR 3220078.

Lua error in package.lua at line 80: module 'Module:Authority control/config' not found.