![]() ![]() Harvey, impressed with what he calls its "depth and magnitude", arranged for publication of such puzzles, starting in March 2008, in The Times. Fuhrer's company Nextoy, LLC (now holder of a trademark on "KenKen" and "KenDoku" as a name for brain-training puzzles) and chess International Master David Levy helped bring the puzzles to the attention of Michael Harvey, an editor of The Times (London). and titled "Kashikoku naru Puzzle" ( 賢くなるパズル, Kashikoku naru pazuru, lit. ![]() In 2007, toy inventor Robert Fuhrer, owner of Nextoy and creator of Gator Golf, Crocodile Dentist, and dozens of other popular toys and games, encountered KenKen books published in Japan by the educational publisher Gakken Co., Ltd. ![]() Some puzzle authors have not done this and have published puzzles that use more than two cells for these operations. Hence if the target is 1 and the operation is - (subtraction) and the number choices are 2 and 3, possible answers are 2,3 or 3,2. In the English-language KenKen books of Will Shortz, the issue of the non- associativity of division and subtraction is addressed by restricting clues based on either of those operations to cages of only two cells in which the numbers may appear in any order. The target number and operation appear in the upper left-hand corner of the cage. No operation is relevant for a single-cell cage: placing the "target" in the cell is the only possibility (thus being a "free space"). Digits may be repeated within a cage, as long as they are not in the same row or column. For example, a linear three-cell cage specifying addition and a target number of 6 in a 4×4 puzzle must be satisfied with the digits 1, 2, and 3. Additionally, KenKen grids are divided into heavily outlined groups of cells –– often called “cages” –– and the numbers in the cells of each cage must produce a certain “target” number when combined using a specified mathematical operation (one of addition, subtraction, multiplication or division). –– so that no digit appears more than once in any row or any column (a Latin square). General rules Īs in Sudoku, the goal of each puzzle is to fill a grid with digits –– 1 through 4 for a 4×4 grid, 1 through 5 for a 5×5, 1 through 6 for a 6×6, etc. The names Calcudoku and Mathdoku are sometimes used by those who do not have the rights to use the KenKen or KenDoku trademarks. The name derives from the Japanese word for cleverness ( 賢, ken, kashiko(i)). KenKen and KenDoku are trademarked names for a style of arithmetic and logic puzzle invented in 2004 by Japanese math teacher Tetsuya Miyamoto, who intended the puzzles to be an instruction-free method of training the brain. For other uses, see Kenken (disambiguation). ![]()
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