1000 + Mega Jigsaw Killer Sudoku 6X6 : Logic Puzzles

Total Page:16

File Type:pdf, Size:1020Kb

1000 + Mega Jigsaw Killer Sudoku 6X6 : Logic Puzzles 1,000 + MEGA JIGSAW KILLER SUDOKU 6X6 : LOGIC PUZZLES EASY - MEDIUM LEVELS PDF, EPUB, EBOOK Basford Holmes | 256 pages | 04 Sep 2019 | Independently Published | 9781691016310 | English | none 1,000 + Mega jigsaw killer sudoku 6x6 : Logic puzzles easy - medium levels PDF Book Sudoku rules : You must fill a 16x16 grid so that the numbers 1 to 9 and the letters A to F appear once in each row, column and 4X4 box. Solutions to the weekly puzzle are posted a week later, also in the archives. If you want a real challenge try the 16x16 or 20x20 sized Sudoku puzzles. New Version 1. Offers thousands of free graded puzzles. You have to find the location of all dominoes on the grid. Perfect fitness, warm- up, training and positive energy for the brain. Larger puzzles are much harder than smaller puzzles e. Your purchase and Amazon review helps support this website! This book contains 50 puzzles at size 5x5 75 at 6x6 and 75 at 7x7 all sorted in order of increasing logical difficulty. Minimum monthly payments are required. The remaining possibilities may be written in "pencil". Play medium 16x16 super sudoku online for free. Answers for retro skyscraper style crossword clue. Usually they don 39 t even have a valid solution. This Jigsaw Sudoku can be completed directly on the web page - just enter numbers in the cells. Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. Sudoku Medium. A traditional Sudoku puzzle consists of a board of 9x9 cells as seen in the picture below. Dec 9. Mega Sudoku Play new puzzles each week. Online Read The free 16x16 sudoku puzzles to play online are divided into 5 levels: easy, medium, difficult, expert and diabolical in order to continue your progress. Free Printable Crossword Puzzles. Print free sudoku puzzles, from 4 to 6 per page and according to 5 levels: easy, medium, difficult, expert and evil. Compatible with all browsers, tablets and phones including iPhone, iPad and Android. It had such a massive craze. First Name. The aim of the game is to enter the numbers in the grid knowing that in any position of the rows this looks very dope probably even better than my brute force approach put all row permutations in a three dimensional array map based off how many towers you can see from the left and the right as the indexes then simply iterating through the permutations that satisfy quot the left and right quot numbers until we find those five that satisfy the top and bottom numbers and the sudoku constraint as sudoku skyscraper solver for Free Download More information about sudoku skyscraper solver Android Apps sudoku skyscraper solver apk Ratings download links Related Apps and like it. Noah Richardson 1 views. Your heart will choose NyanberPlace. Aug 20 Sudoku Skyscrapers also known as Towers is a game of riddles in which a grid of variable size in this game you can play 4x4 and 5x5 grids and up to 9x9 in subsequent updates is a district of a city. Each Irregular Sudoku puzzle consists of a 6x6, 9x9 or 12x12 grid containing given clues in various places. 1,000 + Mega jigsaw killer sudoku 6x6 : Logic puzzles easy - medium levels Writer Force it to a circle. Look at most relevant Sudoku Variations apps. The document is in pdf format. I 39 ll explain below about the specifics of how to play but basically they are a great way to help our students think about perspective while thinking strategically through each puzzle. Stay connected and keep in touch with your friends with our new Puzzles mobile app. Clear Pencil Marks[X] It's free to create an account! SCORE: 0. Marijuana Grow Room Design amp Construction Setting up a medical marijuana grow room or grow warehouse can be very difficult to design and build as well as very costly. Here you are able to enter an arbitrary matrix. These compound movements are very effective for getting stronger and building muscles at the same time. Some people call it newspapers saver because it boosts their sales and keeps the reader audience Sudoku 16x The Book of Sudoku. The rules of Star Battle are simple You have to place stars on the grid according to the rules 2 stars cannot be adjacent horizontally vertically or diagonally. Includes E Card Record solve times are also kept exclusively for registered members. Clues outside the grid indicate the visible buildings within each row or column from that vantage point. With letters, each letter must be used but only one time in each row, column, and subsection. Wait for the program to find the solution then follow the steps to solve your cube. This increased the speed slightly as it gave the puzzle solver more information about the puzzle. Classic Sudoku rules apply to these distorted boxes. On a 4x4 cube there were no fixed center pieces however on a 5x5 cube and all odd layered cubes there are fixed center pieces. 1,000 + Mega jigsaw killer sudoku 6x6 : Logic puzzles easy - medium levels Reviews Enter the numbers of the Sudoku grid you want to solve in the upper fields and click on the "Solve" button. Part of the Addicting Sudoku. An 8 x 8 with a hole in the middle, and consisting of two congruent subparts. Galaxies Puzzle. Prarie-Dog Town is fun to analyze and solve. Each puzzle has only one solution. Also make sure you don 39 t have unnecessary or redundant clues. There are a lot of irregular sudoku puzzles for download. I use a marker pen to put an "X" in the squares at coordinates 1, 1 and 8, 8 - a pair of diagonally opposing corners. All solvers will. In a 6 x 6 grid, use the numbers 1 to 6. If you like these puzzles, also check out my other puzzles. If you've worked the puzzles in the previous sections, you're ready for these 5x5 order 5 magic squares! Solvers often use a dot or a It contains several stages of varying difficulty from 5x5 grids to 25x20 grids. These intriguing math based puzzles are easier to solve than you might think, and they are a fun tool for sharpening mental arithmetic skills as well. May 17 Coincidentally we can use this calculator to approximate pi. The puzzle is packaged in a nice display box and it comes with a set of extra replacement caps in case any are lost. Want more? Never-ending variety of free Sudoku puzzles - you can play your daily Sudoku here, get a printable Sudoku or just play as many free online Sudoku as you want - all with lots of helpful features. KenKen walkthrough. You must give the correct input i. Play games and puzzles on Pantagraph. Use the Note Feature to keep track of your moves - automatically updates when you fill in a cell. Knossos is a logic puzzle quot Knossos quot is a palace on Crete this palace is connected with ancient legends such as the myth of the Labyrinth with the Minotaur. Sudoku 8x8 Each row, column, and box 4x2 must contain the numbers 1 through 8 exactly once. When you're completed sudoku puzzle, just click button I'm finished. Never-ending variety of free Sudoku puzzles - you can play your daily Sudoku here, get a printable Sudoku or just play as many free online Sudoku as you want - all with lots of helpful features. Entertaining and encouraging for anyone who needs a little enchantment, each colorful, illustrated puzzle has just pieces, making it easy enough to put together in one sitting. Play medium 16x16 super sudoku online for free. Wait for the program to find the solution then follow the steps to solve your cube. Creative thinking puzzle number 1 - The nine dot problem to help you "think out of the box" Below are nine dots arranged in a set of three rows. Super tall Skyscrapers If you are building your city in superflat you can build extremely tall skyscrapers. Being interested in where I got stuck, I looked at the output, trying to figure out what my next move would've been, but it said "Solve Level 1, Binary Puzzle Solver" inbetween and it put down a 1 and a 0 which made no sense to me whatsoever. They have puzzles ranging in size from 6x6 up to 14x14 in 4 difficulty levels, of each. Sharpen your programming skills while having fun May 26 Get stronger build muscle and burn fat with this simple and effective 5x5 weight lifting program. To put a number in a cell, click on it and select the desired number. 1,000 + Mega jigsaw killer sudoku 6x6 : Logic puzzles easy - medium levels Read Online This one is surprisingly well built and feels like it can take some rough handling or minor falls. All these are available to suit your needs to print out. There is only one rule to completing a sudoku: each 3x3 box, each row and each column, must contain each of the digits from 1 to 9 without repetition there are nine cells in every row, column and box. Play with the 3D Rubik's Cube simulator online. To reduce the size of the grid on the screen and to facilitate entering values, the possibilities are represented here by the following hexadecimal digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F. The video uses Xs instead of 1s, but is otherwise identical to a binary puzzle so everything above holds valid.
Recommended publications
  • Mathematics of Sudoku I
    Mathematics of Sudoku I Bertram Felgenhauer Frazer Jarvis∗ January 25, 2006 Introduction Sudoku puzzles became extremely popular in Britain from late 2004. Sudoku, or Su Doku, is a Japanese word (or phrase) meaning something like Number Place. The idea of the puzzle is extremely simple; the solver is faced with a 9 × 9 grid, divided into nine 3 × 3 blocks: In some of these boxes, the setter puts some of the digits 1–9; the aim of the solver is to complete the grid by filling in a digit in every box in such a way that each row, each column, and each 3 × 3 box contains each of the digits 1–9 exactly once. It is a very natural question to ask how many Sudoku grids there can be. That is, in how many ways can we fill in the grid above so that each row, column and box contains the digits 1–9 exactly once. In this note, we explain how we first computed this number. This was the first computation of this number; we should point out that it has been subsequently confirmed using other (faster!) methods. First, let us notice that Sudoku grids are simply special cases of Latin squares; remember that a Latin square of order n is an n × n square containing each of the digits 1,...,n in every row and column. The calculation of the number of Latin squares is itself a difficult problem, with no general formula known. The number of Latin squares of sizes up to 11 × 11 have been worked out (see references [1], [2] and [3] for the 9 × 9, 10 × 10 and 11 × 11 squares), and the methods are broadly brute force calculations, much like the approach we sketch for Sudoku grids below.
    [Show full text]
  • Lightwood Games Makes Sudoku a Party with Unique Online Gameplay for Ios
    prMac: Publish Once, Broadcast the World :: http://prmac.com Lightwood Games makes Sudoku a Party with unique online gameplay for iOS Published on 02/10/12 UK based Lightwood Games today introduces Sudoku Party 1.0, their latest iOS app to put a new spin on a classic puzzle. As well as offering 3 different levels of difficulty for solo play, Sudoku Party introduces a unique online mode. In Party Play, two players work together to solve the same puzzle, but also compete to see who can control the largest number of squares. Once a player has placed a correct answer, their opponent has just a few seconds to respond or they lose claim to that square. Stoke-on-Trent, United Kingdom - Lightwood Games today is delighted to announce the release of Sudoku Party, their latest iPhone and iPad app to put a new spin on a classic puzzle game. Featuring puzzles by Conceptis, Sudoku Party gives individual users a daily challenge at three different levels of difficulty, and also introduces a unique multi-player mode for online play. In Party Play, two players must work together to solve the same puzzle, but at the same time compete to see who can control the largest number of squares. Once a player has placed a correct answer, their opponent has just a few seconds to respond or they lose claim to that square for ever. Players can challenge their friends or jump straight into an online game against the next available opponent. The less-pressured solo mode features a range of beautiful, symmetrical, uniquely solvable sudoku puzzles designed by Conceptis Puzzles, the world's leading supplier of logic puzzles.
    [Show full text]
  • Competition Rules
    th WORLD SUDOKU CHAMPIONSHIP 5PHILADELPHIA APR MAY 2 9 0 2 2 0 1 0 Competition Rules Lead Sponsor Competition Schedule (as of 4/25) Thursday 4/29 1-6 pm, 10-11:30 pm Registration 6:30 pm Optional transport to Visitor Center 7 – 10:00 pm Reception at Visitor Center 9:00 pm Optional transport back to hotel 9:30 – 10:30 pm Q&A for puzzles and rules Friday 4/30 8 – 10 am Breakfast 9 – 1 pm Self-guided tourism and lunch 1:15 – 5 pm Individual rounds, breaks • 1: 100 Meters (20 min) • 2: Long Jump (40 min) • 3: Shot Put (40 min) • 4: High Jump (35 min) • 5: 400 Meters (35 min) 5 – 5:15 pm Room closed for team round setup 5:15 – 6:45 pm Team rounds, breaks • 1: Weakest Link (40 min) • 2: Number Place (42 min) 7:30 – 8:30 pm Dinner 8:30 – 10 pm Game Night Saturday 5/1 7 – 9 am Breakfast 8:30 – 12:30 pm Individual rounds, breaks • 6: 110 Meter Hurdles (20 min) • 7: Discus (35 min) • 8: Pole Vault (40 min) • 9: Javelin (45 min) • 10: 1500 Meters (35 min) 12:30 – 1:30 pm Lunch 2:00 – 4:30 pm Team rounds, breaks • 3: Jigsaw Sudoku (30 min) • 4: Track & Field Relay (40 min) • 5: Pentathlon (40 min) 5 pm Individual scoring protest deadline 4:30 – 5:30 pm Room change for finals 5:30 – 6:45 pm Individual Finals 7 pm Team scoring protest deadline 7:30 – 10:30 pm Dinner and awards Sunday 5/2 Morning Breakfast All Day Departure Competition Rules 5th World Sudoku Championship The rules this year introduce some new scoring techniques and procedures.
    [Show full text]
  • A Flowering of Mathematical Art
    A Flowering of Mathematical Art Jim Henle & Craig Kasper The Mathematical Intelligencer ISSN 0343-6993 Volume 42 Number 1 Math Intelligencer (2020) 42:36-40 DOI 10.1007/s00283-019-09945-0 1 23 Your article is protected by copyright and all rights are held exclusively by Springer Science+Business Media, LLC, part of Springer Nature. This e-offprint is for personal use only and shall not be self-archived in electronic repositories. If you wish to self- archive your article, please use the accepted manuscript version for posting on your own website. You may further deposit the accepted manuscript version in any repository, provided it is only made publicly available 12 months after official publication or later and provided acknowledgement is given to the original source of publication and a link is inserted to the published article on Springer's website. The link must be accompanied by the following text: "The final publication is available at link.springer.com”. 1 23 Author's personal copy For Our Mathematical Pleasure (Jim Henle, Editor) 1 have argued that the creation of mathematical A Flowering of structures is an art. The previous column discussed a II tiny genre of that art: numeration systems. You can’t describe that genre as ‘‘flowering.’’ But activity is most Mathematical Art definitely blossoming in another genre. Around the world, hundreds of artists are right now creating puzzles of JIM HENLE , AND CRAIG KASPER subtlety, depth, and charm. We are in the midst of a renaissance of logic puzzles. A Renaissance The flowering began with the discovery in 2004 in England, of the discovery in 1980 in Japan, of the invention in 1979 in the United States, of the puzzle type known today as sudoku.
    [Show full text]
  • PDF Download Journey Sudoku Puzzle Book : 201
    JOURNEY SUDOKU PUZZLE BOOK : 201 PUZZLES (EASY, MEDIUM AND VERY HARD) PDF, EPUB, EBOOK Gregory Dehaney | 124 pages | 21 Jul 2017 | Createspace Independent Publishing Platform | 9781548978358 | English | none Journey Sudoku Puzzle Book : 201 puzzles (Easy, Medium and Very Hard) PDF Book Currently you have JavaScript disabled. Home 1 Books 2. All rights reserved. They are a great way to keep your mind alert and nimble! A puzzle with a mini golf course consisting of the nine high-quality metal puzzle pieces with one flag and one tee on each. There is work in progress to improve this situation. Updated: February 10 th You are going to read about plants. Solve online. Receive timely lesson ideas and PD tips. You can place the rocks in different positions to alter the course You can utilize the Sudoku Printable to apply the actions for fixing the puzzle and this is going to help you out in the future. Due to the unique styles, several folks get really excited and want to understand all about Sudoku Printable. Now it becomes available to all iPhone, iPod touch and iPad puzzle lovers all over the World! We see repeatedly that the stimulation provided by these activities improves memory and brain function. And those we do have provide the same benefits. You can play a free daily game , that is absolutely addictive! The rules of Hidato are, as with Sudoku, fairly simple. These Sudokus are irreducible, that means that if you delete a single clue, they become ambigous. Let us know if we can help. Move the planks among the tree stumps to help the Hiker across.
    [Show full text]
  • THE MATHEMATICS BEHIND SUDOKU Sudoku Is One of the More Interesting and Potentially Addictive Number Puzzles. It's Modern Vers
    THE MATHEMATICS BEHIND SUDOKU Sudoku is one of the more interesting and potentially addictive number puzzles. It’s modern version (adapted from the Latin Square of Leonard Euler) was invented by the American Architect Howard Ganz in 1979 and brought to worldwide attention through promotion efforts in Japan. Today the puzzle appears weekly in newspapers throughout the world. The puzzle basis is a square n x n array of elements for which only a few of the n2 elements are specified beforehand. The idea behind the puzzle is to find the value of the remaining elements following certain rules. The rules are- (1)-Each row and column of the n x n square matrix must contain each of n numbers only once so that the sum in each row or column of n numbers always equals- n n(n 1) k k 1 2 (2)-The n x n matrix is broken up into (n/b)2 square sub-matrixes, where b is an integer divisor of n. Each sub-matrix must also contain all n elements just once and the sum of the elements in each sub-matrix must also equal n(n+1)/2. It is our purpose here to look at the mathematical aspects behind Sudoku solutions. To make things as simple as possible, we will start with a 4 x 4 Sudoku puzzle of the form- 1 3 1 4 3 2 Here we have 6 elements given at the outset and we are asked to find the remaining 10 elements shown as dashes. There are four rows and four columns each plus 4 sub- matrixes of 2 x 2 size which read- 1 3 4 3 A B C and D 1 2 Any element in the 4 x 4 square matrix is identified by the symbol ai,j ,where i is the row number and j the column number.
    [Show full text]
  • Rebuilding Objects with Linear Algebra
    The Shattered Urn: Rebuilding Objects with Linear Algebra John Burkardt Department of Mathematics University of South Carolina 20 November 2018 1 / 94 The Shattered Urn: Rebuilding Objects with Linear Algebra Computational Mathematics Seminar sponsored by: Mathematics Department University of Pittsburgh ... 10:00-11:00, 20 November 2018 427 Thackeray Hall References: http://people.math.sc.edu/burkardt/presentations/polyominoes 2018 pitt.pdf Marcus Garvie, John Burkardt, A New Mathematical Model for Tiling Finite Regions of the Plane with Polyominoes, submitted. 2 / 94 The Portland Vase 25AD - A Reconstruction Problem 3 / 94 Ostomachion - Archimedes, 287-212 BC 4 / 94 Tangrams - Song Dynasty, 960-1279 5 / 94 Dudeney - The Broken Chessboard (1919) 6 / 94 Golomb - Polyominoes (1965) 7 / 94 Puzzle Statement 8 / 94 Tile Variations: Reflections, Rotations, All Orientations 9 / 94 Puzzle Variations: Holes or Infinite Regions 10 / 94 Is It Math? \One can guess that there are several tilings of a 6 × 10 rectangle using the twelve pentominoes. However, one might not predict just how many there are. An exhaustive computer search has found that there are 2339 such tilings. These questions make nice puzzles, but are not the kind of interesting mathematical problem that we are looking for." \Tilings" - Federico Ardila, Richard Stanley 11 / 94 Is it \Simple" Computer Science? 12 / 94 Sequential Solution: Backtracking 13 / 94 Is it \Clever" Computer Science? 14 / 94 Simultaneous Solution: Linear Algebra? 15 / 94 Exact Cover Knuth: \Tiling is a version
    [Show full text]
  • Lee, Goodwin, & Johnson-Laird 2008 Sudoku THINKING & REASONING
    THINKING & REASONING, 2008, 14 (4), 342 – 364 The psychological puzzle of Sudoku N. Y. Louis Lee The Chinese University of Hong Kong, Shatin, Hong Kong SAR of China Geoffrey P. Goodwin University of Pennsylvania, Philadelphia, PA, USA P. N. Johnson-Laird Princeton University, NJ, USA Sudoku puzzles, which are popular worldwide, require individuals to infer the missing digits in a 9 6 9arrayaccordingtothegeneralrulethateverydigit from 1 to 9 must occur once in each row, in each column, and in each of the 3- by-3 boxes in the array. We present a theory of how individuals solve these puzzles. It postulates that they rely solely on pure deductions, and that they spontaneously acquire various deductive tactics, which differ in their difficulty depending on their ‘‘relational complexity’’, i.e., the number of constraints on which they depend. A major strategic shift is necessary to acquire tactics for more difficult puzzles: solvers have to keep track of possible digits in a cell. We report three experiments corroborating this theory. We also discuss their implications for theories of reasoning that downplay the role of deduction in everyday reasoning. Keywords: Deduction; Problem solving; Reasoning; Inferential strategies. Downloaded By: [University of Pennsylvania] At: 15:18 18 February 2009 Correspondence should be addressed to N. Y. Louis Lee, Department of Educational Psychology, The Chinese University of Hong Kong, Shatin, New Territories, Hong Kong SAR of China. E-mail: [email protected] We thank the editor for useful advice about the framing of the paper; Vittorio Girotto and two anonymous reviewers for helpful criticisms; Sam Glucksberg, Adele Goldberg, and Fabien Savary for helpful suggestions; and Winton Au and Fanny Cheung for their assistance in Hong Kong.
    [Show full text]
  • The Mathematics of Sudoku Tom Davis [email protected] (Preliminary) June 5, 2006
    The Mathematics of Sudoku Tom Davis [email protected] http://www.geometer.org/mathcircles (Preliminary) June 5, 2006 1 Introduction Sudoku is a (sometimes addictive) puzzle presented on a square grid that is usually 9 × 9, but is sometimes 16 × 16 or other sizes. We will consider here only the 9 × 9 case, although most of what follows can be extended to larger puzzles. Sudoku puzzles can be found in many daily newspapers, and there are thousands of references to it on the internet. Most puzzles are ranked as to difficulty, but the rankings vary from puzzle designer to puzzle designer. Sudoku is an abbreviation for a Japanese phrase meaning ”the digits must remain single”, and it was in Japan that the puzzle first became popular. The puzzle is also known as ”Number Place”. Sudoku (although it was not originally called that) was apparently invented by Howard Garns in 1979. It was first published by Dell Magazines (which continues to do so), but now is available in hundreds of publications. At the time of publication of this article, sudoku 1 2 3 4 5 6 7 8 9 is very popular, but it is of course difficult to predict whether it will remain so. It does have a 4 8 many features of puzzles that remain popular: b puzzles are available of all degrees of difficulty, 9 4 6 7 the rules are very simple, your ability to solve c 5 6 1 4 them improves with time, and it is the sort of puzzle where the person solving it makes con- d 2 1 6 5 tinuous progress toward a solution, as is the case e 5 8 7 9 4 1 with crossword puzzles.
    [Show full text]
  • Adult Puzzles. Big Samurai and Calcudoku 9X9 Sudoku. Hard - Extreme Levels
    ADULT PUZZLES. BIG SAMURAI AND CALCUDOKU 9X9 SUDOKU. HARD - EXTREME LEVELS. : VERY LARGE FONT. PDF, EPUB, EBOOK Basford Holmes | 146 pages | 06 Jul 2019 | Independently Published | 9781078462143 | English | none Adult puzzles. Big Samurai and Calcudoku 9x9 Sudoku. Hard - extreme levels. : Very large font. PDF Book Parnell Hall 4. The puzzles are now syndicated daily in newspapers in Australia, Germany, Scandinavia, Italy and Spain, and the mania for Sudoku has just reached us. Makes it look very pretty outside! Will Shortz 4. Great fun for the whole family! Teach your kids to develop critical thinking and logic skills with the addicting fun of sudoku! Sudoku puzzles are fun and engaging, while providing your brain with a little stimulation! These addictive puzzles are easy to understandjust fill the grid with numbers according to the few simple rulesbut incredibly fun and engaging to complete. Puzzles that form mysteriously beautiful symmetries, but demand a calculating logic to solve. I went out by foot today to the drugstore, mainly for the walk, since I will not be leaving my apartment for a few days. It's the most challenging sudoku book we've ever published! Game Nest 4. Features: hard puzzlesBig grids for easy solvingIntroduction by legendary puzzlemaster Will Shortz less. Learn more. Sudoku Plus-Vol. Loco Sudoku Djape 4. Wayne Gould 4. UK Check out my page 1. Become a master in solving CalcuDoku 9x9. Kat Andrews 4. You must solve all five grids together to complete the entire puzzle. BeeBoo Puzzles 4. But only in a theoretcial way. This hefty tome features twice the number of puzzles than most books.
    [Show full text]
  • Arxiv:2005.10862V1 [Quant-Ph] 21 May 2020
    SUDOQ | A QUANTUM VARIANT OF THE POPULAR GAME ION NECHITA AND JORDI PILLET Abstract. We introduce SudoQ, a quantum version of the classical game Sudoku. Allowing the entries of the grid to be (non-commutative) projections instead of integers, the solution set of SudoQ puzzles can be much larger than in the classical (commutative) setting. We introduce and analyze a randomized algorithm for computing solutions of SudoQ puzzles. Finally, we state two important conjectures relating the quantum and the classical solutions of SudoQ puzzles, corroborated by analytical and numerical evidence. Contents 1. Introduction 1 2. Quantum grids, squares, and the SudoQ game3 3. Classical grids and squares5 4. SudoQ solutions7 5. A Sinkhorn-like algorithm for SudoQ9 6. Numerical experiments 11 7. Mixed SudoQ 12 8. Application: quantum Sudoku code 13 9. Conclusion 14 References 15 1. Introduction The Sudoku puzzle has become nowadays one of the most popular pen-and-paper solitaire games. Its origin can be traced back to 1892, in the pages of the French monarchist daily newspaper \Le Si`ecle",where a very similar puzzle was proposed to the readers. The Sudoku game can be seen as an extension of the older Latin square game, already introduced by Euler in the 18th century. The rules of the latter game are simple: you have to fill in a n × n grid such that each row and each column contains a permutation of the elements of f1; 2; :::; ng. A Sudoku puzzle is a n2 × n2 arXiv:2005.10862v1 [quant-ph] 21 May 2020 Latin square with the supplementary constraints that each n × n sub-square must also contain a permutation of f1; 2; :::; n2g; the most popular version of the game, usually found in newspapers, assumes n = 3, presenting the puzzle as a 9 × 9 partially filled grid.
    [Show full text]
  • On Jigsaw Sudoku Puzzles and Related Topics
    Internal Report 2010–4 March 2010 Universiteit Leiden Opleiding Informatica On Jigsaw Sudoku Puzzles and Related Topics Johan de Ruiter BACHELORSCRIPTIE Leiden Institute of Advanced Computer Science (LIACS) Leiden University Niels Bohrweg 1 2333 CA Leiden The Netherlands On Jigsaw Sudoku Puzzles and Related Topics Bachelor Thesis Johan de Ruiter, [email protected] Leiden Institute of Advanced Computer Science (LIACS) Leiden University, The Netherlands March 15, 2010 Abstract Using memoization and various other optimization techniques, the number of dissections of the n × n square into n polyominoes of size n is computed for n ≤ 8. On this task our method outperforms Donald Knuth’s Algorithm X with Dancing Links. The number of jigsaw sudoku puzzle solutions is computed for n ≤ 7. For every jigsaw sudoku puzzle polyomino cover with n ≤ 6 the size of its smallest critical sets is determined. Furthermore it is shown that for every n ≥ 4 there exists a polyomino cover that does not allow for any sudoku puzzle solution. We give a closed formula for the num- ber of possible ways to fill the border of an n × n square with num- bers while obeying Latin square constraints. We define a cannibal as a nonempty hyperpolyomino that disconnects its exterior from its interior, where the interior is exactly the size of the hyperpolyomino itself, and we present the smallest found cannibals in two and three dimensions. 1 Contents 1 Introduction 4 2 Dissecting the square 6 2.1 Generating the tiles . .6 2.2 Areas modulo n ..........................7 2.2.1 Useful holes . .8 2.2.2 Other useless areas .
    [Show full text]