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A minimal puzzle is a proper puzzle from which no clue can be removed without introducing additional solutions. Solving Sudokus from the viewpoint of a player has been explored in Denis Berthier's book "The Hidden Logic of Sudoku" (2007) [7] which considers strategies such as "hidden xy-chains".
This book is intended for a general audience interested in recreational mathematics, [7] including mathematically inclined high school students. [4] It is intended to counter the widespread misimpression that Sudoku is not mathematical, [5] [6] [8] and could help students appreciate the distinction between mathematical reasoning and rote calculation.
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.
Another variant on the logic of the solution is "Clueless Sudoku", in which nine 9×9 Sudoku grids are each placed in a 3×3 array. The center cell in each 3×3 grid of all nine puzzles is left blank and forms a tenth Sudoku puzzle without any cell completed; hence, "clueless". [24] Examples and other variants can be found in the Glossary of ...
Find answers to the latest online sudoku and crossword puzzles that were published in USA TODAY Network's local newspapers. Puzzle solutions for Wednesday, Dec. 18, 2024 Skip to main content
Killer sudoku (also killer su doku, sumdoku, sum doku, sumoku, addoku, or samunanpure サムナンプレ sum-num(ber) pla(ce)) is a puzzle that combines elements of sudoku and kakuro. Despite the name, the simpler killer sudokus can be easier to solve than regular sudokus, depending on the solver's skill at mental arithmetic ; the hardest ones ...
Find answers to the latest online sudoku and crossword puzzles that were published in USA TODAY Network's local newspapers. ... Puzzle solutions for Sunday, Aug. 11, 2024. USA TODAY.
SUDOKU. Play the USA TODAY Sudoku Game.. JUMBLE. Jumbles: FORTY HUTCH HAGGLE CHILLY. Answer: He’d planned to cut the tree so it ended up away from the house, but his plans — FELL THROUGH