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A Sudoku puzzle can be expressed as a graph coloring problem. [27] The aim is to construct a 9-coloring of a particular graph, given a partial 9-coloring. The fewest clues possible for a proper Sudoku is 17. [28] Tens of thousands of distinct Sudoku puzzles have only 17 clues. [29]
For classical Sudoku, the number of filled grids is 6,670,903,752,021,072,936,960 (6.671 × 10 21), which reduces to 5,472,730,538 essentially different solutions under the validity-preserving transformations. There are 26 possible types of symmetry, but they can only be found in about 0.005% of all filled grids. An ordinary puzzle with a ...
[4] [5] [7] In MAA Reviews (a publication of the Mathematical Association of America), reviewer Mark Hunacek called it called it "a delightful book which I thoroughly enjoyed reading" and said "a person with very limited background in mathematics, or a person without much experience solving Sudoku puzzles, could still find something of interest ...
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A typical Sudoku puzzle. A standard Sudoku contains 81 cells, in a 9×9 grid, and has 9 boxes, each box being the intersection of the first, middle, or last 3 rows, and the first, middle, or last 3 columns. Each cell may contain a number from one to nine, and each number can only occur once in each row, column, and box.
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 ...