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Fillomino is played on a rectangular grid with no standard size; the internal grid lines are often dotted. (When published as Allied Occupation in the World Puzzle Championship, the cells of the grid are circular, but this is purely an aesthetic concern.) Some cells of the grid start containing numbers, referred to as "givens".
Another form of logic puzzle, popular among puzzle enthusiasts and available in magazines dedicated to the subject, is a format in which the set-up to a scenario is given, as well as the object (for example, determine who brought what dog to a dog show, and what breed each dog was), certain clues are given ("neither Misty nor Rex is the German Shepherd"), and then the reader fills out a matrix ...
In 1897, a slightly different form of the puzzle was printed in the Brooklyn Daily Eagle, in a column by Sam Loyd. [2] Another early, printed version of Number Link can be found in Henry Ernest Dudeney 's book Amusements in mathematics (1917) as a puzzle for motorists (puzzle no. 252). [ 3 ]
The object is to draw diagonal lines in each cell of the grid, such that the number in each circle equals the number of lines extending from that circle. Additionally, it is forbidden for the diagonal lines to form an enclosed loop. Unlike many of Nikoli's similar puzzles, such as Hashiwokakero, a single network of lines is not required.
Like many other combinatory and logic puzzles, Masyu can be very difficult to solve; solving Masyu on arbitrarily large grids is an NP-complete problem. [2] However, published instances of puzzles have generally been constructed in such a way that they can be solved in a reasonable amount of time.
The popularity of Kakuro in Japan is immense, second only to Sudoku among Nikoli's famed logic-puzzle offerings. [2] The canonical Kakuro puzzle is played in a grid of filled and barred cells, "black" and "white" respectively. Puzzles are usually 16×16 in size, although these dimensions can vary widely.
Tentai Show puzzles can be solved in exponential time by going through all possible dissections of the grid and checking if it is a valid solution. Fertin, Jamshidi, and Komusiewicz (2015) showed a polynomial-time algorithm that can solve the puzzle for various cases, such as: (a) when all galaxies have size at most two, (b) when all galaxies ...
Strimko is a logic number puzzle invented by the Grabarchuk Family in 2008. It is based on the idea of Latin squares described by the Swiss mathematician and physicist Leonhard Euler in the 18th century. All Strimko puzzles are solvable with pure logic; no special knowledge is required. Strimko uses only three basic elements: rows, columns, and ...
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