A supposedly "world's most difficult Sudoku"was designed by the Finnish mathematician Arto Inkala. For this sudoku the methodconsiders 18936 different grids while solving the puzzle, but it still solves in lessthan a second on my machine (a MacBook Pro with an Apple M1 Pro chip).

The Art of Computer Programming, Volume 4B, Section 7.2.2.1, alsoconsiders sudoku puzzles along with a method for solving them and otherinteresting information on these puzzles and backtracking in general.


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So far I have not faced any sudokus this script can not solve. Please do write to report bugs or unsolved sudokus. The code was slow but I updated it to work faster. I have also included a 'clear' button for operational ease and a few more bug fixes.

The GUI can be run with sudokuSolver.m

If anyone wants to skip the GUI and use the basic code only, then comment the first line and uncomment the next few lines in sudokuB.m file and run the script. A file selection window will pop up where CSV format file can be selected as input. Few sample files are provided here.

Welcome to 24/7 Sudoku -- the best in free, online sudoku games! 24/7 Sudoku offers all the difficulties a beginner or seasoned sudoku player will enjoy! This free sudoku website features hundreds of Easy Sudoku puzzles, Medium Sudoku puzzles, Hard Sudoku puzzles, and Expert Sudoku puzzles! 24/7 Sudoku is sure to keep you playing this great sudoku game all day, every day!

Sudoku is a brain challenging number game, played on a 9x9 sudoku board. The sudoku board is broken down into nine 3x3 squares. The object of the sudoku game is simple. Every row, column, and 3x3 box in the sudoku board must contain the digits 1 through 9 only once! As the difficulty progresses, the sudoku game becomes harder, and you'll have to employ more advanced and strategic logic to solve the puzzles.

To play 24/7 Sudoku, employ the basic object of the game by clicking an open space and either typing the number that belongs, or selecting it from the numbers on the side of the sudoku board. If the number is correct, the sudoku tile will slide into its correct slot. If not, the number will return to the outside and time will be added to your overall sudoku game time. To highlight numbers, click a number that has aready been placed inside the sudoku puzzle. As the game progesses, you may want to use notes. Click the pencil in the right bottom corner to turn the numbers into notes. Just click it again to return to puzzle number form.

Posh Easy Sudoku combines a wonderfully attractive package with 100 easy Sudoku puzzles. These Sudoku puzzles have been specifically created to be simple and fast to solve. So whether the puzzler wants a quick puzzle to work or is a beginner solver, this puzzle book will be the perfect fit.

Ready to get started with some easy sudoku puzzles? Sudoku is an excellent way to exercise your powers of deductive reasoning and visual acuity. They are also just plain fun and entertaining!The puzzles you will find here are all rated easy.You will like them if you are new to sudoku or are just looking to take a break with an easy puzzle.Kids and Adults: They would be fine for most beginners from age 8 and up.Party Games: Print out the same puzzle for each participant and see who can solve it the fastest.Speed Training: Even if you find them easy, these sudoku can be used to train yourself to be a fast solver. Print out several, time yourself, and try to increase your speed as you progress.Get Started Playing SudokuIf you want to see if you like these type of puzzles, we have some free ones that you can download and print right away. These are all in PDF format so they will print perfectly to your home printer. You will need to have Adobe Acrobat Reader installed on your computer (most people already do!) to view and print thEasy Sudoku 1 and Solution

Easy Sudoku 2 and SolutionEasy Sudoku 3 and Solution

Easy Sudoku 4 and SolutionGet Lots More Puzzling Fun

We've got lots more for you, so don't slow down! Keep training your brain and having fun with our high quality printable puzzle book. It includes 60 easy sudoku and their solutions and is available for immediate download. Even better, you can have a peek inside before you decide to purchase.Easy Sudoku Puzzles For You:

 60 Grids and Their Solutions.More Puzzles for You: 

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Jigsaw Sudokus(function(d, s, id) {var js, fjs = d.getElementsByTagName(s)[0];if (d.getElementById(id)) return;js = d.createElement(s); js.id = id;js.src = "//forms.aweber.com/form/46/1425219846.js";fjs.parentNode.insertBefore(js, fjs);}(document, "script", "aweber-wjs-liisxt8w4")); Brain Teasers

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The RePEc plagiarism page A simple approach to constructing quasi-Sudoku-based sliced space-filling designsDiane Donovan, Benjamin Haaland (Obfuscate( 'gatech.edu', 'bhaaland3' )) and David J. Nott

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Diane Donovan: University of Queensland

Benjamin Haaland: Georgia Institute of Technology

David J. Nott: National University of SingaporeAnnals of the Institute of Statistical Mathematics, 2017, vol. 69, issue 4, No 6, 865-878Abstract:Abstract Sliced Sudoku-based space-filling designs and, more generally, quasi-sliced orthogonal array-based space-filling designs are useful experimental designs in several contexts, including computer experiments with categorical in addition to quantitative inputs and cross-validation. Here, we provide a straightforward construction of doubly orthogonal quasi-Sudoku Latin squares which can be used to generate quasi-sliced orthogonal arrays and, in turn, sliced space-filling designs which achieve uniformity in one- and two-dimensional projections for the full design and uniformity in two-dimensional projections for each slice. These constructions are very practical to implement and yield a spectrum of design sizes and numbers of factors not currently broadly available.Keywords: Computer experiments; Space-filling designs; Sudoku; Sliced experimental designs (search for similar items in EconPapers)

Date: 2017

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Perfect irreducible Sudoku-like problems do exist (the ordinary Sudoku problem in the end of David Eppstein's arXiv paper is one such). It is natural then to look for "simpler" perfect irreducible Sudoku-like problems,i.e. with the smallest possible value for $r$, and with as few hypergarph edges as possible. It is easy to see that we must have $r>2$. Are there examples with $r=3$ ?

I have a hard time interpreting "simple" in this context. "Simple" might be a fully colored object (so there is no work to do), or an object with few r-subsets present. Let me suggest a related but possibly alternative route.

Given an underlying set X and a collection of r-subsets of X all of which are to be rainbow colored, we call a subset U of X universal iff [for any (unique) allowed coloring of X, there is a unique induced coloring on U and vice versa] . U is a minimal universal set if no proper subset stirctly contained in U is universal. Simple here is again ambiguous: X may be a simple universal set, or X - {x} for any singleton set {x}. Or it may be those U which are minimal universal. I prefer to look at the latter out of mathematical interest.

Some unverified results of mine are minimal universal sets of size 5 for the 4-color, 16-square sudoku, and 48 for the popular 81-square version. It strikes me that projective planes and certain other combinatorial designs are also good candidates for the study of your generalized Sudoku problems.

You know, you should takepleasure in the simple things in life; the smell of fresh-cutgrass, the smile of a beautiful woman (on a poster or otherwise), a joke shared with friends,or a game of Sensible Soccer on the train. Simplicity canbe bliss. However, as the spartan Sudoku Easy Vol. 1 proves,simplest isn't always best.

Eliminating excessive erasing and messy mistakes, Infinite Sudoku removes the need for pen and paper by allowing players to test their answers on the computer screen with a simple click-and-enter method. For when you're on the move and a PC isn't accessible, you can print the puzzles - along with the correct solutions if required - and take them with you.

Thus the simplest reduction process is to look at the set of all values from the solved cells in the row, column and block to which a cell belongs and eliminating those values from the current set of value choices for that cell. (Hint: HashSet.removeAll() does exactly what you want!) To reduce a cell set is to reduce every cell in that cell set. To reduce a board is to reduce every cell in any collection of cell sets -- do you need to reduce every collection of cell sets? ff782bc1db

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