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Sudoku can be solved using stochastic (random-based) algorithms. [9][10] 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.
A Sudoku whose regions are not (necessarily) square or rectangular is known as a Jigsaw Sudoku. In particular, an N × N square where N is prime can only be tiled with irregular N -ominoes . For small values of N the number of ways to tile the square (excluding symmetries) has been computed (sequence A172477 in the OEIS ). [ 10 ]
Taking Sudoku Seriously. Taking Sudoku Seriously: The math behind the world's most popular pencil puzzle is a book on the mathematics of Sudoku. It was written by Jason Rosenhouse and Laura Taalman, and published in 2011 by the Oxford University Press. The Basic Library List Committee of the Mathematical Association of America has suggested its ...
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.
The algorithm is still in NP--perhaps it is very fast for solving all proper 9x9 sudoku puzzles, but from a complexity theoretic point of view, this algorithm is still in the same category as the rest (still in NP, still in superpolynomial time on classical computers).
e. The P versus NP problem is a major unsolved problem in theoretical computer science. Informally, it asks whether any problem whose solution can be quickly verified can also be quickly solved. Here, quickly means an algorithm that solves the task and runs in polynomial time exists, meaning the task completion time is bounded above by a ...
A Sudoku solved by backtracking. Examples where backtracking can be used to solve puzzles or problems include: Puzzles such as eight queens puzzle, crosswords, verbal arithmetic, Sudoku [nb 1], and Peg Solitaire. Combinatorial optimization problems such as parsing and the knapsack problem.
Killer sudoku. Killer sudoku (also killer su doku, sumdoku, sum doku, sumoku, addoku, or samunamupure) 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, however, can take hours ...
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