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It is that lack of duplication that makes creating Kakuro puzzles with unique solutions possible. Like Sudoku, solving a Kakuro puzzle involves investigating combinations and permutations. There is an unwritten rule for making Kakuro puzzles that each clue must have at least two numbers that add up to it, since including only one number is ...
With 6-cell, 7-cell or 8-cell cages, correlating the combinations with their 3-cell, 2-cell, or 1-cell complements usually simplifies things. The table for 6 cell cages is the complement of the 3 cell table adding up to 45 minus the listed value; similarly, the 7 cell table complements the 2 cell table. An 8-cell cage is of course missing only ...
The killer sudoku variant combines elements of sudoku and kakuro. A killer sudoku puzzle is made up of 'cages', typically depicted by boxes outlined with dashes or colours. The sum of the numbers in a cage is written in the top left corner of the cage, and numbers cannot be repeated in a cage.
Some hobbyists have developed computer programs that will solve Sudoku puzzles using a backtracking algorithm, which is a type of brute force search. [3] Backtracking is a depth-first search (in contrast to a breadth-first search), because it will completely explore one branch to a possible solution before moving to another branch.
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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. and titled "Kashikoku naru Puzzle" (賢くなるパズル, Kashikoku naru pazuru, lit. "to become smart puzzle"). [2]
Dexterity puzzle. Ball-in-a-maze puzzle; Brain teaser; Chess puzzle. Chess problem; Computer puzzle game; Cross Sums; Crossword puzzle; Cryptic crossword; Cryptogram
Many Sudokus have been found with 17 clues, although finding them is not a trivial task. [2] [3] A 2014 paper by Gary McGuire, Bastian Tugemann, and Gilles Civario proved that the minimum number of clues in any proper Sudoku is 17 through an exhaustive computer search based on hitting set enumeration.