Showing posts with label Number. Show all posts
Showing posts with label Number. Show all posts

Sunday, December 26, 2010

A Number Game Guide! Sudoku Answers




Are you bored?





Do you wish to be entertained?





One way to divert you from boredom is to take up a hobby. A good suggestion is to try answering puzzles. It does not just keep you from word-weariness; it also sharpens your mind.





A puzzle is a problem-solving game to challenge the different mind strategies that you know of. There are different kinds of puzzle – some are easy to deal with, however others are highly crucial as if you are solving Math or Logic problems.





An example of a puzzle that is more likely related to logic is Number Place or sometimes referred to as Sudoku.





Sudoku has the aim to complete a nine by nine (9 x 9) grid from three by three (3 x 3) regions by entering the numbers 1 to 9 in each cell of the grid. The tricky part is that no single number should be repeated in the 9 x 9 grid.





At first glance, the Number Place seems to be a fun and easy game. However in the long run it requires the player to be in deep thought of what strategies to formulate to solve the puzzle.





There are three suggested ways to answer Sudoku. One can choose to use scanning as his method of solving the puzzle. Others can prefer marking up to come up with a solved puzzle. For some they can be comfortable with the analysis method of puzzle solving.





Scanning is a method wherein the process of elimination reigns. Under the scanning method, one can either choose cross-hatching or counting. Cross-hatching requires a systematic course of action wherein to scan rows or columns in a particular region can give you hints of the possibility where numbers can or cannot be repeated. On the other hand, counting requires the basic counting where the player would count numerals 1 to 9 in rows, columns, and regions to find the missing numeral.





To answer your next Sudoku game, try the marking up method. This method is normally used when you exhaust all the possibilities of solving the puzzle from scanning. To mark, you should be able to use notations. Commonly, what is being used as notation to mark-up are dots and subscript. However, it is best to use notation wherein you will be comfortable using such as lines, shapes or other codes. It is also good to assign which notation would be used for candidate numerals that are most likely to repeat and notation that is likely to be in the said grid. One drawback of using notations is when Sudoku is being played from newspaper or magazine pages where grids are usually small to note into.





Third suggested way to solve Sudoku puzzles is through analysis. There are two main tactics to use the analysis method – the candidate elimination and what-if method. Through the word itself, candidate elimination method does away with candidate numerals from the grids to set aside just one option. Scanning can also be utilized together with the candidate elimination. Another way to answer Number Place with the analysis method is the what-if technique. With the use of this approach the player will guess which is which from the two remaining numbers.





If for instance, you will be seeking answers of Sudoku via a computer program there are also recommended ways to finish the puzzle.





First, try to act and be like a human when solving. You can still use the suggested solving procedures given above. Additionally, with the use of a computer program you will be able to devise the level of difficulty for each puzzle game.





Secondly, plan or search for a good computation that will help you solve the puzzle more rapidly.





You as the player can use a combination of the methods or can even formulate new solutions that will work best for you and other people. Take things one step at a time. Learn the basics of the game. Let go of line of attacks that are boggling your mind. Pick the pieces of information where you think you succeed, learn from where you fall apart. It is a game; you must learn to take risks.





Just thinking of how Sudoku will work, boredom just fades.


Friday, December 24, 2010

Print a Sudoku Puzzle: Test your Logic and Number Skills




Have passion in playing logic and numbers? Maybe you are now an expert when it comes to Rubik’s cube or the magic square. But have you already tested your logic and number skills in a Sudoku game? Whether you are unfamiliar with this game or you have already spent 2 days solving a single Sudoku puzzle, then this article is just right for you.





About Sudoku





Also known as Number Place, Sudoku is a logic-based placement puzzle. The puzzle is composed of a 9 x 9 grid which is further divided into nine 3 x 3 sub-grids or also known as regions. Before you start completing the puzzle, you are given some cells that are initially filled up with numbers from 1 to 9 (number of cells initially filled-up depends on the difficulty level of the puzzle).





The main objective of this game is to completely fill-up all the remaining vacant cells with the numbers 1 to 9 provided that you adhere to the “single number per direction” rule of the game. That is, every column, row, and sub-grid (which is referred to as the direction) must contain only one instance of each number. For instance, you have an initially-placed number 5 at the 5th column and on the 7th row of the puzzle. Such number must only appear once on that particular column and row. Furthermore, it must also appear only once on its assigned sub-grid or region.





Print a Sudoku





Because of the complexity of the “single number per direction” rule of Sudoku, many beginners are having a hard time completing it in matter of a single day. That is why most Sudoku beginners are encouraged to have a hard copy of a Sudoku puzzle so that they can spend more time solving it without actually logging on their personal computer.





Even easy puzzles are difficult to complete, so it would be impractical if you will be solving it in front of your computer especially if you are playing a Sudoku puzzle online. A printed Sudoku puzzle is advisable for Sudoku players especially for beginners.





All you have to do is to locate Sudoku sites that offer printable Sudoku puzzles through search engines. Download it in your personal computer. After download, you can now print and produce more copies so that other family members can get involve in solving Sudoku puzzles.





Most of downloadable Sudoku puzzles are on PDF format. Your computer must have an Acrobat Reader software in order to display it correctly. In case you do not have an Acrobat Reader, you can download it for free on the Internet.





Here are some of the common versions of Sudoku puzzles which you can download from the Internet and print in your personal computer.





• Classic Sudoku- this is the regular Sudoku puzzle that is described earlier in this article. It features varying levels of complexity that will attest your patience and determination in completing it. You can also have the strategies and hints as well as the solution to be downloaded and printed for immediate reference.





• Monster Sudoku- it is quite different from the classic Sudoku game. It is made up of a 16 x 16 grid (instead of the normal 9 x 9 grid), 4 x 4 sub-grids (instead of the 3 x 3 sub-grids), and 256 cells. In addition, the mechanics are now different. In a standard Sudoku puzzle, you will only be placing the numbers 1 to 9 for the remaining unfilled cells. In a Monster Sudoku, you will now place numbers form 1 to 16 and letters from A to F in each cell, column, row, and 4 x 4 sub-grids. However, the same rules as the classic Sudoku game still apply on the Monster Sudoku.





• Kids Sudoku- it is a puzzle designed for kids of age above seven years old to develop their logic skills and at the same time having fun solving the puzzle. This type of puzzle is very easy compared to the intermediate Sudoku puzzle.





• Squiggly Sudoku- the same mechanics and rules as the classic Sudoku puzzle still apply in this game. The only difference is instead of a grid, it is now divided into 9 different shapes.





Aside from individual Sudoku puzzles, there are also free printable Sudoku books on the Web. It contains at least 25 puzzles per book which is classified as easy and medium difficulty puzzles. These free printable Sudoku books are in PDF format so you need to have Acrobat Reader software in your personal computer.





Test your logic and number skills now and start printing hard copies of Sudoku puzzles for you and other family members.


Tuesday, December 21, 2010

The History of the Sudoku Number Puzzle Game




Sudoku is one of the most addictive number puzzle games to hit the puzzle world. Millions of people from all walks of like have caught up with the Sudoku puzzle game in every form and version that exists today. People can play this by themselves, or against another person in a timed game.





So you have to ask… what is this Sudoku game anyway?





Sudoku was invented in 1979 by a 74–year old retired architect named Howard Garnes, who was also a freelance puzzle maker. It was a puzzle that had a grid that was partially filled with numbers. The solver had to fill in the rest of the squares with the right combination of numbers. The game first appeared on the New York publication Dell Pencil Puzzles and Word Games under the name Number Place.





Number Place was introduced in Japan in April 1984 by the Nikoli company in its paper, the Monthly Nikolist. Kaji Maki, Nikoli’s president, named the game “Suuji wa dokushin ni kagiru”, meaning the number must be single, or the number must occur only once. Later, the name was abbreviated to Sudoku. In 1986, two innovations to the game were introduced by Nikoli:



a) a maximum of 32 numbers will be given in each puzzle; and



b) the numbers were distributed in rotationally balanced squares.





These innovations made Sudoku very popular with puzzle solvers. Though Sudoku is currently published in almost all mainstream publications in Japan, like the Asahi Shimbun, Nikoli has the copyright to the name Sudoku.





Due to the similarity of the logic behind Sudoku and the legendary Rubik’s Cube, Sudoku was dubbed as “The 21st Century Rubik’s Cube”.





The first computer version of Sudoku was Digit Hunt, created by Loadstar/Softdisk Publishing and released on the Commodore 64 console platform in 1989.





Another running version that still exists is Single Number, which was created by Yoshimitsu Kanai. Single Number is a computerized puzzle generator that first appeared in 1995 for the Apple Macintosh PC platform. A PDA version appeared in 1996, and the most recent version for the Mac OS–X appeared just last 2005.





Dell Magazines still publishes Number Place. But it has added two new Sudoku magazines, Original Sudoku, which highlights the original version of Number Place, and Extreme Sudoku, which is a more difficult version of the original game. Kappa publications prints the Nikoli Sudoku as Squared Away in GAMES Magazine. Various American newspapers like The Boston Globe, The Examiner, The New York Post, and USA Today also print daily puzzles of Squared Away.





Though Sudoku was very popular in Japan and the USA before, Europe virtually had no idea that the game existed. But thanks to a retired Hong Kong judge, Wayne Gould, Europe would also catch the Sudoku fever.





Gould saw a partially completed Sudoku puzzle in a Japanese bookstore in 1997. He bought the book, and created a computer program that could generate puzzles quickly and easily, developing it over 6 years in Pappocom, his software company. Then, he promoted Sudoku to the British newspaper, The Times, with knowledge regarding its history of publishing puzzles. On November 12, 2004, the first Su Doku puzzle was introduced to the Britons. Pappocom’s puzzles are being printed daily by The Times since that day.





Various British versions of Sudoku then started popping up. There was Codenumber, The Daily Mail’s version, which was derived from Michael Mepham’s puzzles, and first printed on January 19, 2005. 5 Sudoku puzzles were first printed by The Daily Telegraph of Sydney last May 20, 2005. And when the British Telegraph introduced Sudoku daily on its front pages, starting last February 23, 2005, other British newspapers started to take real interest in the game. Due to the popularity of the game, The Times published the first Sudoku book to gain its edge over competitors. Due to its popularity, Sudoku was dubbed as 2005’s "fastest growing puzzle in the world".





Sudoku conquered not only the print media, but also broadcast and electronic media! Channel 4 introduced the first TV Sudoku game last July 2005 when it included daily Sudoku puzzles in its Teletext service. The Radio Times, BBC’s program guide, started featuring Super Sudoku, a weekly puzzle game last August 2, 2005. Dutch mobile phone company Mobile Excellence International also released the first mobile phone version of Sudoku last September 2005 in Europe.





Sky One also produced the first Sudoku TV show, Sudoku Live, which started airing last July 1, 2005. Hosted by Carol Vorderman, Sudoku Live featured 9 teams composed of 9 players per team, representing different geographical regions, that had to solve the show’s puzzle. Each team had a celebrity member and 8 ordinary citizens. While the studio version was being played, home viewers had their own interactive version to play with.





CBS started the broadcasting stories regarding Sudoku, including on the Early Show last summer 2005, and on the CBS Evening News last October 26, 2005.





The US TV series HOUSE M.D. also showed Dr. House solving a Sudoku puzzle during the December 13, 2005 episode. Due to its addictive nature, Sudoku was banned on the set due to the cast constantly playing it.





Now, the Internet is teeming with millions of Sudoku versions, both online and offline, free and purchasable. With the billions of unique puzzles generated by computer programs, 2 to 4 websites will not bore a Sudoku addict for a quite a long time.





Who could’ve thought that a simple number puzzle on paper in 1979 would conquer the world like the common cold?


Sunday, December 19, 2010

Sudoku Solvers: Mastering an Addicting Number Puzzle Game




Have you ever tried playing Sudoku?





Did you solve it all by yourself or did you just put down the pen and the puzzle, and then just left? Why can’t some people solve it? Its not that Sudoku is just for people who are adept in math, some are just more skilled with this addicting puzzle game. For those having a hard time solving Sudoku puzzles or are just newbies, they can make use of a special program that can solve the puzzle for them, this are called Sudoku solvers.





Sudoku, a number puzzle that is widely popular in the world, mainly in Japan and in the United States, is commonly known as a number place in which it’s a logic-based placement puzzle where you can enter the digits 1 to 9 in each cell of a 9x9 grid and made up of 3x3 subgrids or sometimes called regions.





To start playing, you are given numerals in certain cells that you can use as your clues. Your goal is to fill all the blank cells with a digit each, so each row, column, and regions contains the numbers 1 to 9 for only once. Each numeral occurs only once in each different direction, hence the “single number” method is implied to the puzzle’s identity.





Difficulty ratings of Sudoku are published in papers, which can be downloaded in computers like a handy electronic sudoku game. Online sites can be ranked according to the number of “givens” placed in the cells. However, sometimes it has little effect or bearing on the puzzle’s difficulty. A puzzle with a minimum number of givens may actually be easy to solve while a puzzle with more than the average number of givens can be very hard to solve, the difficulty rating will depend on the relevance and positioning of the “givens” rather than on how many numbers are placed in the cells.





For in a Sudoku game, it can be solved either by logic or by help of computers. Many online sites offer games that can be solved automatically when you click on solvers. Sudoku solvers are strategies and approaches on how you can solve the puzzle game.





Think of the 9x9 grids and 3x3 subgrids. Think of the many possibilities where the “givens” are placed. With a very difficult rating, you will finish the game in hours, in days, or even in weeks. With hundreds of billions of number combination in the grid, you’ll need a Sudoku solver. But where can you find solvers?





It’s much better if you play Sudoku in a computer than in published in papers. Sudoku in papers can take a long time for you for you to solve the game, while Sudoku game in your computer or in a website can enable you to strategize much better with different options and approaches of solutions. Whereas, when the puzzle game is in a computer, Sudoku solvers can be downloaded in many versions from your preferred sudoku sites. The best thing about downloading solvers is it doesn’t only produce solutions, it can also be emailed to multiple recipients.





In downloading your Sudoku solver version, you must be familiar on how it works because in most download websites, many solver versions are accompanied with a charge of a corresponding amount for you to download it or use it. For beginners who want their solvers, there are a lot of available free but older versions. Sometimes it cannot accommodate the different kind of solutions for new Sudoku puzzles.





There are lots of varieties of Sudoku solvers out in the World Wide Web, but you must find versions that are designed to make the solutions faster and easier. Your Sudoku solvers must provide the following capabilities:





• Integrates help, which includes all the explanations regarding the rules for solving the number puzzle.



• Input capability must be enhanced.



• Improved screen appearance



• Can save and load the puzzles with its solutions.



• Can scan for input data errors.



• Quick solution times



• Can identify malformed puzzles



• With complete training mode for step-by-step solutions with corresponding commentaries.



• Can maintain multiple email templates.



• Full manual with rule explanations.





So, for sudoku solvers, it will help you to find the appropriate and proper solutions wherein you can really determine how the problem can be solved. Sudoku solvers will show different ideas in such a way that when you play again with another kind of “givens”, and you will learn and know where to start.





If you have difficulty in solving a particular Sudoku puzzle, download a Sudoku solver for you to better understand the logic and the strategy behind the puzzle.