Kaji Maki: First He Gave Us Sudoku
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A Functional Taxonomy of Logic Puzzles
A Functional Taxonomy of Logic Puzzles Lianne V. Hufkens Cameron Browne Department of Data Science and Knowledge Engineering Maastricht University Maastricht, The Netherlands flianne.hufkens, [email protected] Abstract—There currently exists no taxonomy for the full range of puzzles including “pen & paper” Japanese logic puzzles. We present a functional taxonomy for these puzzles in prepa- ration for implementing them in digital form. This taxonomy reveals similarities and differences between these puzzles and locates them within the context of single player games. Index Terms—games, puzzles, logic, taxonomy, classification I. INTRODUCTION This work is part of a project on digitally implementing the full range of pen & paper puzzles for computer analysis. In order to model these puzzles, it is useful to devise a taxonomy to highlight differences and similarities between Fig. 1: A Sudoku challenge (left) and solution (right). them to facilitate their implementation. We define a puzzle as a problem with defined steps for books, with further examples and information on Nikoli-style achieving one or more defined solutions, such that the chal- logic puzzles obtained from online sources including [2], [3], lenge contains all information needed to achieve its own [4], [5] and [6]. solution. Puzzles are distinct from games as they lack the Some simple schemes for logically grouping logic puzzles adversarial element: ”Puzzles are solved. Games are won.”1 already exist. For example, our final taxonomy was inspired by We focus on the group of puzzles commonly known as the classification found at [2], and Nikoli [3] uses the following Japanese logic puzzles [1], of which Sudoku (Fig. -
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. -
Tatamibari Is NP-Complete
Tatamibari is NP-complete The MIT Faculty has made this article openly available. Please share how this access benefits you. Your story matters. Citation Adler, Aviv et al. “Tatamibari is NP-complete.” 10th International Conference on Fun with Algorithms, May-June 2021, Favignana Island, Italy, Schloss Dagstuhl and Leibniz Center for Informatics, 2021. © 2021 The Author(s) As Published 10.4230/LIPIcs.FUN.2021.1 Publisher Schloss Dagstuhl, Leibniz Center for Informatics Version Final published version Citable link https://hdl.handle.net/1721.1/129836 Terms of Use Creative Commons Attribution 3.0 unported license Detailed Terms https://creativecommons.org/licenses/by/3.0/ Tatamibari Is NP-Complete Aviv Adler Massachusetts Institute of Technology, Cambridge, MA, USA [email protected] Jeffrey Bosboom Massachusetts Institute of Technology, Cambridge, MA, USA [email protected] Erik D. Demaine Massachusetts Institute of Technology, Cambridge, MA, USA [email protected] Martin L. Demaine Massachusetts Institute of Technology, Cambridge, MA, USA [email protected] Quanquan C. Liu Massachusetts Institute of Technology, Cambridge, MA, USA [email protected] Jayson Lynch Massachusetts Institute of Technology, Cambridge, MA, USA [email protected] Abstract In the Nikoli pencil-and-paper game Tatamibari, a puzzle consists of an m × n grid of cells, where each cell possibly contains a clue among , , . The goal is to partition the grid into disjoint rectangles, where every rectangle contains exactly one clue, rectangles containing are square, rectangles containing are strictly longer horizontally than vertically, rectangles containing are strictly longer vertically than horizontally, and no four rectangles share a corner. We prove this puzzle NP-complete, establishing a Nikoli gap of 16 years. -
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. -
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. -
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. -
{Download PDF} Mathematical Puzzles of Sam Loyd: Volume 2
MATHEMATICAL PUZZLES OF SAM LOYD: VOLUME 2 PDF, EPUB, EBOOK Sam Loyd,Martin Gardner | 167 pages | 01 Jun 1959 | Dover Publications Inc. | 9780486204987 | English | New York, United States Mathematical Puzzles of Sam Loyd Want to Read Currently Reading Read. Other editions. Enlarge cover. Error rating book. Refresh and try again. Open Preview See a Problem? Details if other :. Thanks for telling us about the problem. Return to Book Page. Martin Gardner Editor. Bizarre imagination, originality, trickiness, and whimsy characterize puzzles of Sam Loyd, America's greatest puzzler. Present selection from fabulously rare Cyclopedia includes the famous 14—15 puzzles, the Horse of a Different Color, and others in various areas of elementary math. Get A Copy. Paperback , pages. Published June 1st by Dover Publications first published More Details Original Title. Other Editions 6. Friend Reviews. To see what your friends thought of this book, please sign up. To ask other readers questions about Mathematical Puzzles of Sam Loyd , please sign up. Be the first to ask a question about Mathematical Puzzles of Sam Loyd. Lists with This Book. This book is not yet featured on Listopia. Community Reviews. Showing Average rating 3. Rating details. More filters. Sort order. Start your review of Mathematical Puzzles of Sam Loyd. Jan 19, Jennifer rated it it was ok. I'm not all that fond of this style of puzzle. Apr 09, Lindsey Lubker rated it it was amazing Shelves: math. This is a book that has lots of mathematical puzzles. It has easy and tricky parts throughout the book. Mar 07, Julia marked it as to-read. -
By Prof. Mcgonagall Solution to STEPS TOLD: the Grid with The
By Prof. McGonagall weeks belong to a set, such that their an- swers form this meta. Those answers are Solution to STEPS TOLD: reproduced below for your convenience. Thegridwiththewhiteandblackcircles Especially now, without a title or flavor- (ignoring the letters for now) is the Nikoli text to give outright hints, it is important logic puzzle ‘‘Masyu’’. Solving that puzzle to keep in mind Rule 9: Always be on the yieldsapaththroughthegrid. Takingeach lookout for themes and patterns. Para- letteralongthatpathspellstheinstruction graph breaks in a block of text, repeated ‘‘MAKE A CRYPTIC CLUE BY USING THE words or letters, apparent typos or non- REMAINING LETTERS IN ORDER’’. standard word selections -- these all can When read left to right, top to bottom, point to clues. Keep your eyes open, and the unused letters in the grid spell the investigate anything that looks unusual. phrase ‘‘SILLY SEATS RING RED PEERS’’. Enjoy your last day of class, and as This is read as a cryptic crossword clue: always, if you think you have the answer, the definition is ‘‘peers’’, and the wordplay submit it on our website below. tells you to mix up the letters of ‘‘seats’’ We’ll see some of you this Sunday at and place them around the letter ‘R’ (for the Berkeley Mystery Hunt! red). This results in the answer, STARES. The title is another wordplay clue to the METAPUZZLE same answer -- ‘‘told’’ indicates a homo- phone of ‘‘stairs’’, a synonym of ‘‘steps’’. DOTING Congratulations to Jevon Heath and REDUB Melinda Fricke, who first submitted the COLORED correct answer to this puzzle. ONES STARTING This now brings us to the metapuz- REDSTAR zle, a new puzzle consisting solely of the COSTARRED answers to all previous puzzles. -
Integirls Guide to Puzzle Solving
The inteGIRLS Guide to Puzzle Solving Getting Started Strategies Puzzle Anatomy Reading the Puzzle While you're reading the flavor text of the body text of the puzzle, look out for Title Title - Weird words Flavor text: jaksdjfalkdsdf - Name of the puzzle - Awkward phrasing jdfjlkajdfklajdlfkjkfjs;aasdfa - Can be a clue - Things that seem out of place These are almost always part of the solution. Body Flavor text - Full of cryptic clues Look for patterns. Count items and try to - Read and review carefully match the number to other puzzle elements. Body Think about multiple approaches, including - Substance of the puzzle the obvious ones - With the internet, this is everything you need Use the internet to your advantage. If you get stuck on a puzzle, ask a teammate Finishing a Puzzle to look over the puzzle, or take a break. Direct Answer Methods Cryptic phrase Collaborate! - Index into words (look at Sometimes, puzzles Mechanics for more info) end with a phrase. - Change from a cipher to letters This can be... Solution - Look for missing letters, extra letters, or changed letters - A clue or riddle to Every puzzle answer is a Examples - Letters are images drawn in the the final answer word or phrase in English - Kermit the puzzle - Instructions on how Frog - Eliminate letters that are not part to use elements in the Every element of the - Zimbabwe of the puzzle or isolate indicated puzzle to find the final puzzle is involved in getting - Hydrogen letters answer the answer The inteGIRLS Guide to Puzzle Solving Some Mechanics Tools - Anagramming -
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. -
X-Treme Sudoku by Editors of Nikoli Publishing
X-Treme Sudoku by Editors of Nikoli Publishing Ebook X-Treme Sudoku currently available for review only, if you need complete ebook X-Treme Sudoku please fill out registration form to access in our databases Download here >> Paperback:::: 405 pages+++Publisher:::: Workman Publishing Company (November 2, 2006)+++Language:::: English+++ISBN-10:::: 9780761146223+++ISBN-13:::: 978-0761146223+++ASIN:::: 0761146229+++Product Dimensions::::4 x 1 x 6 inches+++ ISBN10 ISBN13 Download here >> Description: The next step, like having a whole book of just Saturday Times crossword puzzles. Even more fiendish, even more fun, X-treme Sudoku proudly presents 320 puzzles rated Difficult to Very Difficult. These are the toughest, knottiest, most demanding Sudoku out there—prepare to have your brain cells crackle, your pencils melt, your mind obsessed with numbers and squares.No one is better than Nikoli at rounding up such a collection. A Japanese puzzle and game company that started the Sudoku craze over twenty years ago, Nikoli is known for creating the only handcrafted puzzles around. As Tim Preston, publishing director of Puzzler Media, Britains biggest seller of crossword and cryptogram puzzles, has said: It is a matter of great pride to get your puzzle into one of Nikolis magazines. Handmade puzzles are much better. It gives you the satisfaction that you are pitting your wits against an individual who has thought about what your next step would be and has tried to obscure the path.For X-treme Sudoku, the puzzle-makers at Nikoli went out of their way to obscure the path. There are puzzles with entire boxes empty. -
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.