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Tatamibari
Tatamibari () is a type of logic puzzle designed and published by Nikoli. The puzzle is based on Japanese tatami mats. Rules A Tatamibari puzzle is played on a rectangular grid with three different kinds of symbols in it: +, -. and , . The solver must partition the grid into rectangular or square regions according to the following rules: * Every partition must contain exactly one symbol in it. * A + symbol must be contained in a square. * A , symbol must be contained in a rectangle with a greater height than width. * A - symbol must be contained in a rectangle with a greater width than height. * Four pieces may never share the same corner. Computational Complexity The problem of finding a solution to a particular Tatamibari configuration is 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 fin ...
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Tatamibari Puzzle
Tatamibari () is a type of logic puzzle designed and published by Nikoli. The puzzle is based on Japanese tatami mats. Rules A Tatamibari puzzle is played on a rectangular grid with three different kinds of symbols in it: +, -. and , . The solver must partition the grid into rectangular or square regions according to the following rules: * Every partition must contain exactly one symbol in it. * A + symbol must be contained in a square. * A , symbol must be contained in a rectangle with a greater height than width. * A - symbol must be contained in a rectangle with a greater width than height. * Four pieces may never share the same corner. Computational Complexity The problem of finding a solution to a particular Tatamibari configuration is NP-complete. See also * List of Nikoli puzzle types is a Japanese publisher that specializes in games and, especially, logic puzzles. ''Nikoli'' is also the nickname of a quarterly magazine (whose full name is ''Puzzle Communication ...
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Tatamibari Puzzle Solved
Tatamibari () is a type of logic puzzle designed and published by Nikoli. The puzzle is based on Japanese tatami mats. Rules A Tatamibari puzzle is played on a rectangular grid with three different kinds of symbols in it: +, -. and , . The solver must partition the grid into rectangular or square regions according to the following rules: * Every partition must contain exactly one symbol in it. * A + symbol must be contained in a square. * A , symbol must be contained in a rectangle with a greater height than width. * A - symbol must be contained in a rectangle with a greater width than height. * Four pieces may never share the same corner. Computational Complexity The problem of finding a solution to a particular Tatamibari configuration is NP-complete. See also * List of Nikoli puzzle types is a Japanese publisher that specializes in games and, especially, logic puzzles. ''Nikoli'' is also the nickname of a quarterly magazine (whose full name is ''Puzzle Communication ...
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Nikoli (publisher)
is a Japanese publisher that specializes in games and, especially, logic puzzles. ''Nikoli'' is also the nickname of a quarterly magazine (whose full name is ''Puzzle Communication Nikoli'') issued by the company in Tokyo. ''Nikoli'' was established in 1980 and became prominent worldwide with the popularity of ''Sudoku''. The name "Nikoli" comes from the racehorse who won the Irish 2,000 Guineas in 1980; the founder of Nikoli, Maki Kaji, was fond of horseracing and betting. Nikoli's claim to fame is its vast library of "culture independent" puzzles. An example of a language/culture-dependent genre of puzzle would be the crossword, which relies on a specific language and alphabet. For this reason Nikoli's puzzles are often purely logical, and often numerical. Nikoli's Sudoku, the most popular logic problem in Japan, was popularized in the English-speaking world in 2005, though that game has a history stretching back hundreds of years and across the globe. The magazine has invente ...
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List Of Nikoli Puzzle Types
is a Japanese publisher that specializes in games and, especially, logic puzzles. ''Nikoli'' is also the nickname of a quarterly magazine (whose full name is ''Puzzle Communication Nikoli'') issued by the company in Tokyo. ''Nikoli'' was established in 1980 and became prominent worldwide with the popularity of ''Sudoku''. The name "Nikoli" comes from the racehorse who won the Irish 2,000 Guineas in 1980; the founder of Nikoli, Maki Kaji, was fond of horseracing and betting. Nikoli's claim to fame is its vast library of "culture independent" puzzles. An example of a language/culture-dependent genre of puzzle would be the crossword, which relies on a specific language and alphabet. For this reason Nikoli's puzzles are often purely logical, and often numerical. Nikoli's Sudoku, the most popular logic problem in Japan, was popularized in the English-speaking world in 2005, though that game has a history stretching back hundreds of years and across the globe. The magazine has invent ...
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Logic Puzzle
A logic puzzle is a puzzle deriving from the mathematics, mathematical field of deductive reasoning, deduction. History The logic puzzle was first produced by Charles Lutwidge Dodgson, who is better known under his pen name Lewis Carroll, the author of ''Alice's Adventures in Wonderland''. In his book ''The Game of Logic'' he introduced a game to solve problems such as confirming the conclusion "Some greyhounds are not fat" from the statements "No fat creatures run well" and "Some greyhounds run well". Puzzles like this, where we are given a list of premises and asked what can be deduced from them, are known as syllogisms. Dodgson goes on to construct much more complex puzzles consisting of up to 8 premises. In the second half of the 20th century mathematician Raymond Smullyan, Raymond M. Smullyan continued and expanded the branch of logic puzzles with books such as ''The Lady or the Tiger?'', ''To Mock a Mockingbird'' and ''Alice in Puzzle-Land''. He popularized the "knights an ...
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Tatami
A is a type of mat used as a flooring material in traditional Japanese-style rooms. Tatamis are made in standard sizes, twice as long as wide, about 0.9 m by 1.8 m depending on the region. In martial arts, tatami are the floor used for training in a dojo and for competition. Tatami are covered with a weft-faced weave of (common rush), on a warp of hemp or weaker cotton. There are four warps per weft shed, two at each end (or sometimes two per shed, one at each end, to cut costs). The (core) is traditionally made from sewn-together rice straw, but contemporary tatami sometimes have compressed wood chip boards or extruded polystyrene foam in their cores, instead or as well. The long sides are usually with brocade or plain cloth, although some tatami have no edging. History The term ''tatami'' is derived from the verb , meaning 'to fold' or 'to pile'. This indicates that the early tatami were thin and could be folded up when not used or piled in layers.Kodansha Encyclope ...
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NP-completeness
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 trying all possible solutions. # the problem can be used to simulate every other problem for which we can verify quickly that a solution is correct. In this sense, NP-complete problems are the hardest of the problems to which solutions can be verified quickly. If we could find solutions of some NP-complete problem quickly, we could quickly find the solutions of every other problem to which a given solution can be easily verified. The name "NP-complete" is short for "nondeterministic polynomial-time complete". In this name, "nondeterministic" refers to nondeterministic Turing machines, a way of mathematically formalizing the idea of a brute-force search algorithm. Polynomial time refers to an amount of time that is considered "quick" for a deter ...
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