World Library  
Flag as Inappropriate
Email this Article

Hitori

Article Id: WHEBN0002068275
Reproduction Date:

Title: Hitori  
Author: World Heritage Encyclopedia
Language: English
Subject: GNOME Games, Puzzle, Recreational mathematics, World Puzzle Championship
Collection: Japanese Words and Phrases, Logic Puzzles, Np-Complete Problems
Publisher: World Heritage Encyclopedia
Publication
Date:
 

Hitori

Example of an incomplete Hitori puzzle (see bottom of page for solution)

Hitori (Japanese for: Alone or one person) (ひとりにしてくれ Hitori ni shite kure; literally "leave me alone") is a type of logic puzzle published by Nikoli.

Contents

  • Rules 1
  • Solving techniques 2
  • History 3
  • In media 4
  • See also 5
  • References 6
  • External links 7

Rules

Hitori is played with a grid of squares or cells, and each cell contains a number. The objective is to eliminate numbers by filling in the squares such that remaining cells do not contain numbers that appear more than once in either a given row or column.

Filled-in cells cannot be horizontally or vertically adjacent, although they can be diagonally adjacent. The remaining un-filled cells must form a single component connected horizontally and vertically.

Solving techniques

  • When it is confirmed that a cell must be black, one can see all orthogonally adjacent cells must not be black. Some players find it useful to circle any numbers which must be white as it makes the puzzle easier to read as you progress.
  • If a number has been circled to show that it must be white, any cells containing the same number in that row and column must also be black.
  • If a cell would separate a white area of the grid if it were painted black, the cell must be white.
  • In a sequence of three identical, adjacent numbers; the centre number must be white (and cells on either side must be black). If one of the end numbers were white this would result in either two adjacent filled in cells or two white cells in the same row/column, neither of which are allowed.
  • In a sequence of two identical, adjacent numbers; if the same row or column contains another cell of the same number the number standing on its own must be black. If it were white this would result in either two adjacent filled in cells or two white cells in the same row/column, neither of which are allowed.
  • Any number that has two identical numbers on opposite sides of itself must be white, because one of the two identical numbers must be black, and it cannot be adjacent to another black cell.
  • When four identical numbers are in a two by two square on the grid, two of them must be black along a diagonal. There are only two possible combinations, and it is sometimes possible to decide which is correct by determining if one variation will cut white squares off from the remainder of the grid.
  • When four identical numbers form a square in the corner of a grid, the corner square and the one diagonally opposite must be black. The alternative would leave the corner square isolated from the other white numbers.

History

Hitori is an original puzzle of Nikoli; it first appeared in Puzzle Communication Nikoli in issue #29 (March 1990).

Example of a completed Hitori puzzle (see top of page for incomplete puzzle)

In media

  • Episode 11 of xxxHolic: Kei is titled Hitori in reference to this.

See also

References

  • Puzzle Cyclopedia, Nikoli, 2004. ISBN.

External links

  • Sample Hitori puzzles on the Nikoli web site
  • Hitori tutorials on the Nikoli website
  • Hitori Number Puzzle Game Play online at Funmin
This article was sourced from Creative Commons Attribution-ShareAlike License; additional terms may apply. World Heritage Encyclopedia content is assembled from numerous content providers, Open Access Publishing, and in compliance with The Fair Access to Science and Technology Research Act (FASTR), Wikimedia Foundation, Inc., Public Library of Science, The Encyclopedia of Life, Open Book Publishers (OBP), PubMed, U.S. National Library of Medicine, National Center for Biotechnology Information, U.S. National Library of Medicine, National Institutes of Health (NIH), U.S. Department of Health & Human Services, and USA.gov, which sources content from all federal, state, local, tribal, and territorial government publication portals (.gov, .mil, .edu). Funding for USA.gov and content contributors is made possible from the U.S. Congress, E-Government Act of 2002.
 
Crowd sourced content that is contributed to World Heritage Encyclopedia is peer reviewed and edited by our editorial staff to ensure quality scholarly research articles.
 
By using this site, you agree to the Terms of Use and Privacy Policy. World Heritage Encyclopedia™ is a registered trademark of the World Public Library Association, a non-profit organization.
 


Copyright © World Library Foundation. All rights reserved. eBooks from Project Gutenberg are sponsored by the World Library Foundation,
a 501c(4) Member's Support Non-Profit Organization, and is NOT affiliated with any governmental agency or department.