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The book also includes discussions on the nature of mathematics and the use of computers in mathematics. [4] After an introductory chapter on Sudoku and its deductive puzzle-solving techniques [1] (also touching on Euler tours and Hamiltonian cycles), [5] the book has eight more chapters and an epilogue.
The analysis of Sudoku is generally divided between analyzing the properties of unsolved puzzles (such as the minimum possible number of given clues) and analyzing the properties of solved puzzles. Initial analysis was largely focused on enumerating solutions, with results first appearing in 2004. [1] For classical Sudoku, the number of filled ...
Sudoku can be solved using stochastic (random-based) algorithms. [11] [12] An example of this method is to: Randomly assign numbers to the blank cells in the grid. Calculate the number of errors. "Shuffle" the inserted numbers until the number of mistakes is reduced to zero. A solution to the puzzle is then found.
Many Sudoku solving algorithms, such as brute force-backtracking and dancing links can solve most 9×9 puzzles efficiently, but combinatorial explosion occurs as n increases, creating practical limits to the properties of Sudokus that can be constructed, analyzed, and solved as n increases. A Sudoku puzzle can be expressed as a graph coloring ...
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 ...
A final two chapters provide brief hints and more detailed solutions to the puzzles, [2] with the solutions forming the majority of pages of the book. [3] Some of the puzzles are well known classics, some are variations of known puzzles making them more algorithmic, and some are new. [4] They include:
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