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The Battleship puzzle (sometimes called Bimaru, Yubotu, Solitaire Battleships or Battleship Solitaire) is a logic puzzle based on the Battleship guessing game. It and its variants have appeared in several puzzle contests, including the
World Puzzle Championship The World Puzzle Championship (commonly abbreviated as WPC) is an annual international puzzle competition run by the World Puzzle Federation. All the puzzles in the competition are pure-logic problems based on simple principles, designed to be play ...
, and puzzle magazines, such as ''Games'' magazine. Solitaire Battleship was invented in Argentina by Jaime Poniachik and was first featured in 1982 in the Argentine magazine '. Battleship gained more widespread popularity after its international debut at the first World Puzzle Championship in New York City in 1992. Battleship appeared in ''Games'' magazine the following year and remains a regular feature of the magazine. Variants of Battleship have emerged since the puzzle's inclusion in the first World Puzzle Championship. Battleship is played in a grid of squares that hides ships of different sizes. Numbers alongside the grid indicate how many squares in a row or column are occupied by part of a ship.


History

The
solitaire Solitaire is any tabletop game which one can play by oneself, usually with cards, but also with dominoes. The term "solitaire" is also used for single-player games of concentration and skill using a set layout tiles, pegs or stones. These game ...
version of Battleship was invented in Argentina in 1982 under the name Batalla Naval, with the first published puzzles appearing in 1982 in the Spanish magazine . Battleship was created by the magazine's founder, Jaime Poniachik, along with its editors Eduardo Abel Gimenez, Jorge Varlotta, and Daniel Samoilovich. After 1982, no more Battleship puzzles were published until 1987, when they appeared in , a renamed version of '. The publishing company of regularly publishes Battleship puzzles in its monthly magazine . Battleship made its international debut at the first
World Puzzle Championship The World Puzzle Championship (commonly abbreviated as WPC) is an annual international puzzle competition run by the World Puzzle Federation. All the puzzles in the competition are pure-logic problems based on simple principles, designed to be play ...
in New York in 1992 and met with success. The next World Puzzle Championship in 1993 featured a variant of Battleship that omitted some of the row and column numbers. Battleship was first published in ''Games'' magazine in 1993, the year after the first World Puzzle Championship. Other variants later emerged, including Hexagonal Battleship, 3D Battleship, and Diagonal Battleship.


Rules

In Battleship, an armada of battleships is hidden in a square grid of 10×10 small squares. The armada includes one
battleship A battleship is a large armored warship with a main battery consisting of large caliber guns. It dominated naval warfare in the late 19th and early 20th centuries. The term ''battleship'' came into use in the late 1880s to describe a type of ...
four squares long, two
cruiser A cruiser is a type of warship. Modern cruisers are generally the largest ships in a fleet after aircraft carriers and amphibious assault ships, and can usually perform several roles. The term "cruiser", which has been in use for several hu ...
s three squares long, three
destroyer In naval terminology, a destroyer is a fast, manoeuvrable, long-endurance warship intended to escort larger vessels in a fleet, convoy or battle group and defend them against powerful short range attackers. They were originally developed in ...
s two squares long, and four
submarine A submarine (or sub) is a watercraft capable of independent operation underwater. It differs from a submersible, which has more limited underwater capability. The term is also sometimes used historically or colloquially to refer to remotely op ...
s one square in size. Each ship occupies a number of contiguous squares on the grid, arranged horizontally or vertically. The ships are placed so that no ship touches any other ship, not even diagonally. The goal of the puzzle is to discover where the ships are located. A grid may start with clues in the form of squares that have already been solved, showing a submarine, an end piece of a ship, a middle piece of a ship, or water. Each row and column also has a number beside it, indicating the number of squares occupied by ship parts in that row or column, respectively. Variants of the standard form of solitaire battleship have included using larger or smaller grids (with comparable changes in the size of the hidden armada), as well as using a hexagonal grid.


Strategy

The basic solving strategy for a Battleship puzzle is to add segments to incomplete ships where appropriate, draw water in squares that are known not to contain a ship segment, and to complete ships in a row or column whose number is the same as the number of unsolved squares in that row or column, respectively. More advanced strategies include looking for places where the largest ship that has not yet been located can fit into the grid, and looking for rows and columns that are almost complete and determining if there is only one way to complete them.


Computers and Battleship

Battleship is an
NP-complete In computational complexity theory, a problem is NP-complete when: # it is a problem for which the correctness of each solution can be verified quickly (namely, in polynomial time) and a brute-force search algorithm can find a solution by tryi ...
problem. In 1997, former contributing editor to the Battleship column in ''Games'' magazine Moshe Rubin released ''Fathom It!'', a popular Windows implementation of Battleship.


See also

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Discrete tomography Discrete tomography Herman, G. T. and Kuba, A., Discrete Tomography: Foundations, Algorithms, and Applications, Birkhäuser Boston, 1999 Herman, G. T. and Kuba, A., Advances in Discrete Tomography and Its Applications, Birkhäuser Boston, 2007 fo ...
*
Nonogram Nonograms, also known as Hanjie, Paint by Numbers, Picross, Griddlers, and Pic-a-Pix, and by various other names, are picture logic puzzles in which cells in a grid must be colored or left blank according to numbers at the side of the grid to r ...


References


Further reading

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External links


The Battleship Omnibus
- Extensive information on variants, competitions, and strategies. {{DEFAULTSORT:Battleship (Puzzle) Logic puzzles Puzzle video games NP-complete problems