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2 Understanding Sudoku: The Number Puzzle Game That Has Taken The World by Storm Topics Covered: The History of the Sudoku Number Puzzle Game The Development of Sudoku Rules in Playing Sudoku How to Play Sudoku How to Play and Solve Sudoku Challenge Yourself with Sudoku Games Samurai Sudoku: A Different Challenge 7 Careful Steps on How to Solve Sudoku Easy and Difficult Ways in Solving Sudoku A Number Game Guide! Sudoku Answers Sudoku Game: A Worldwide Trend That Tends to Stay Forever Sudoku Hints: The Secret to Solving the Sudoku 1

3 Understanding Sudoku: The Number Puzzle Game That Has Taken The World by Storm 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 life are 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 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 OSX appeared just last 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, 2

4 which is a more difficult version of the original game. Kappa publications print 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 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 Sudoku 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, Sudoku puzzles were first printed by The Daily Telegraph of Sydney last May 20, 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 an edge over competitors. 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, 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, 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, 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. 3

5 Who could ve thought that a simple number puzzle on paper in 1979 would conquer the world like the common cold? The Development of Sudoku Ancient civilization is known for its creativity and intelligence. They also have different forms of entertainment. Unlike today, people are dependent on the benefit of modern technology. In every corner you will see inventions such as radios and televisions. This is how people today make use of their spare time. Sometimes, people also get bored with modern technology and turn to their mind and formulate their own brain twister in a form of riddles. This is how people explore their way of thinking and also their creativity. People naturally love activities that could twist their mind and form new ideas. History speaks that some of the recent games that mankind have today are based on the ideas of early people, although with some innovations applied. Sudoku is one of the games that have existed since the ancient times. Perhaps this is the first time that you heard about the term. You might ask yourself what Sudoku is all about and where it originated. The other name for Sudoku is number place. As you might think, it was derived from the Japanese language. This refers to a logic based placement. In other words, this is a type of puzzle game. It was published first in one of the magazines in United States in the year 1979 then followed in Japan until it gained its popularity. If you are going to translate the name Sudoku into an English phrase, it means that the digits must remain single. It gathered various manners of pronunciation in different countries. Nevertheless, whatever the articulation is, the standards set on the game are never altered. According to the people who discovered Sudoku, the puzzle enhances your critical thinking. It makes you utilize arithmetic relationship between numbers that are not relevant with each other. There are also basic rules that are set for you to play Sudoku puzzle. You are probably getting interested with Sudoku as you read this article. Well, to cut your interest first, you should first know the story behind the game. When was it introduced? During his late 70 s, Howard Garns anonymously designed the puzzle Sudoku. He was known to be a retired architect and indeed a freelance puzzle constructor. Obviously, he has ideas on how to create the tricks of a puzzle because it has been a profession for him for quite long time. He deduced his idea from that of the Latin Square designed by Euler. Thus, he just placed some additional alterations to the game, which he called the third dimension. He also provides the player with a partially-completed grid that will require the solver to complete the rest of the blank grids. 4

6 However, after Garns was able to develop it and introduce it in the US magazine, it was captured again in Japan by a person name Nikoli. That was the time that Maiki, President of Nikoli Sudoku was named because during the time of Garns he also has his own English translation. Before, the game is played manually when it started to get published in the newspaper of Japan and United States. It was in the year 1989 when a computer version of Sudoku was made available for the users under the Loadstar Publishing followed by the Apple Macintosh. In the year 2005, it totally came at its peak of popularity. Behind the popularity of the Sudoku puzzle is the acknowledgment to Rubik s cube. This is another puzzle game that was popular during the year In fact, some of the attributes of Sudoku was also patterned from Rubik s puzzle. In the year 1997, the popularity of Sudoku in the media was overwhelming. Even the Hong Kong judge named Wayne Gould also became inclined to the game up to the point that he also developed his own version of the computerized version of Sudoku. Nationwide, there was a press release that was published regularly in Japan that took the newspaper to sell the prints very quickly. It even reached the world media and was acknowledged as the fastest growing puzzle in the world. There is no doubt that until now, the history of Sudoku remains in the thoughts of people. They owe much gratitude to the development and discovery of Sudoku puzzles because without the people behind Sudoku they are not able to enjoy the pleasures that have been brought to them by the puzzle. Rules in Playing Sudoku If you re fond of playing puzzles, solving math problems, and think in logical reasoning you can actually combine them all in playing the Sudoku puzzle. Sudoku was first seen in a magazine published in New York in the late 70 s by specialist puzzle publisher Dell Magazines under the name of Number Place. Suî means number in Japanese, and doku means the single place on the puzzle board so that each numeral can be fit into. Although its name sounds like Japanese, its origins came from Europe and America in which the game shows the very best in thinking and reasoning. Sudoku initially caught Japan in 1986 and gained international prominence in Unlike many other games that were known within the span of time, nothing can beat Sudoku s challenge. Sudoku, commonly known as the Number Place, is a logic type placement puzzle. The aim of the puzzle is to place numerical digits from 1 to 9 in each cell of a 9x9 grids that is made up of 3x3 subgrids or regions. To start playing the game, you are given in some empty cells numerals which are called givens. The goal of the puzzle is to put the numbers 1-9 to which it must contain only once in each subgrids, rows, and columns. 5

7 Basic rules Rules in playing the game are very simple: - Sudoku is played over a 9x9 grid, divided in 3x3 subgrid. - Begins the play with some given numerals from 1-9 that are placed in grid cells. - A number can only appear once on each row. - A numeral can only appear once on each column. - Digit can only appear once on each region. Now you finally know the basic rules in playing the game, but you re really just starting the process of making solutions to how finish the game. There are some solutions methods that can help you and these are: - Scanning - it can be performed from the very beginning and throughout the solution process. Scanning basically has two techniques, first the cross-hatching. Cross-hatching techniques can identify which line in a particular region may contain a digit that can be eliminated. The second is counting the region, columns and rows in identifying missing numbers. Counting based upon the last digit discovered may actually speed up the corresponding search. - Marking Up - the candidate numbers are simply written in subscript in the cell. The disadvantage of this is that some first puzzles are printed in magazines and newspapers, which are usually too small to accommodate many preferred numbers. Unlike some newly designed Sudoku game boards, all inputs are done electronically. You can also use a pattern of dots within the cell, wherein the position of the dot corresponds a number from 1-9. Dot notation can be an advantage to a sudoku that is printed in paper. In playing sudoku in print, using a sharp pencil with an eraser is highly recommended. - By Analysis - you can approach the game by either candidate elimination or what if. In candidate elimination, numerals from one or more cells are eliminated and leaving just one choice. After each answer is placed, another scan can be done. You can check to see the effect of the contingencies. In the what if approach, a cell can be placed with two candidate numbers then a guess should be made. Difficulty ratings Published Sudoku puzzles are ranked depending of rate of difficulty. For you to understand, the numbers that are given has nothing to do on a puzzle s difficulty. A sudoku puzzle with less number of givens may be very easy for you to solve. A sudoku puzzle with more number of givens can still be very difficult for you to solve as the difficulty rate of the puzzle depends on the relevance and positioning of the given numerals rather than the number of given placed in the grids. Computer solvers find the range of difficulties for a human to find a certain solution, based on the complexity of the techniques needed. For in this kind of estimation it allows publishers to make Sudoku puzzles to be very demanding. Some sort of publications rate their Sudoku puzzles into four levels, which are easy, intermediate, hard, and challenging. 6

8 So, by playing the fastest growing puzzle in the world, you can be sure to challenge your way of thinking and have fun in the process. How to Play Sudoku Do you know anything about the Rubik s Cube? Who hasn t heard about it? Have you ever played with it? If you did and you are trying to go for a bigger challenge, try Sudoku. Sudoku is a number placement puzzle game that needs careful thought and intense patience. Sudoku is a great puzzle that can be found anywhere from newspapers, magazines, textbooks, and on the internet. It consists of a series of grids. The grids usually involve one big 9 x 9 grid that holds, 9 3 x 3 tiny grids. The main objective of this game is to put the numbers 1 to 9 into each of the grid units. In Sudoku, you do not have to add the numbers and look for the sum of the rows and columns. Though it is a game number, definitely there will be no addition included. However, there are three rules that must be strictly followed. And they are: 1. Each of the numbers from 1 to 9 should come out only once in each column. 2. Each number from 1 to 9 must appear once in each row. 3. Each should appear once in each small 3 x 3 grid These rules should be followed significantly to make sure that each 3 x 3 grid has the numbers from 1 to 9 to show in the series only once. In this way, it is assured that it increases the challenge and difficulty in playing the game. Sudoku game puzzle comes in different levels of complexity. The total of numbers provided in the first level in the 9 x 9 matrix differs. Many people think that the game would be easy if there are more numbers given at the first level. However, this is not so true because the assignment of the each number has an intense effect in making the puzzle difficult to solve. Now, how will you play the puzzle game? As mentioned above, you have to follow the three rules. Once you have put that in your mind, you may start playing the game. The following are steps, which you can use in playing the sudoku. - You do not have to guess everything when playing. The Sudoku puzzle can be solved sensibly. All you have to do is to think about it carefully. The best way to begin the puzzle is by searching for the clues. The majority of players begin by looking for the numbers that often appear in the first puzzle. For instance you have many 4 s in the first puzzle. Look in the 3 x 3 box if the number 4 is also there. 7

9 Now, can you find out other places where there is also the number 4? Start looking for the no. 4 in the rows and columns. These can help you locate where the other 4 s are. Remember, the number 4 must appear only once in each of the 3 x 3 box, rows or columns. If there is already a 4 in the columns 1 and 3, then there s should be no other 4 in any of those 2 columns. Thus, the missing 4 should be replaced in column 2. If you are able to remove all the potentials in the box, you will have a bigger chance of solving it correctly. - At the time that you are done looking at all the 3 x 3 boxes, you must ensure to fill in the numbers 1 to 9 in the rows and columns that hold most of the numbers. If only two numbers are not in the row or column you can always do the elimination method to know where to place the last two numbers. Check the rows and the columns to locate the missing numbers. If you have eliminated one of the possibilities on each row or column, there is a chance to fill the line you are playing. - The two steps above will help you solve the simplest or the easiest Sudoku. On the other hand, difficult puzzles need players who know how to look for the possibilities of the puzzle. The possibilities basically need someone who will solve and win the puzzle with all the given different choices in every square. There may be times that there is no way to remove a possibility, so a player will have to choose any of the numbers. When this happens, it is necessary to remember where you have chosen a number and think if your first choice was wrong. Sudoku is game of wits. Sometimes, you will feel that you are only playing a non-stop game. But, following the steps and practicing it will help you know the techniques that are helpful and will lead you to victory. How to Play and Solve Sudoku When you hear the word puzzle, what is the first thing that comes into your mind? There are so many words that could jumble in your mind; it could be a problem, a riddle, a question a mystery and a lot more. However, can you not realize it that the bottom line for every puzzle is to find a solution? This is the same thing with Sudoku puzzle. First, it is important that you need to get yourself acquainted about the basic rules and instructions about playing it. Second, you should learn to establish your own strategy for winning it and lastly is to arrive at a certain goal. After being able to know the history and the factors included in the game, you will now arrive at a very essential aspect, which is the solution method. In Sudoku, there are actually three processes that are combined together in solving the problem given to you. Scanning This is carried out at the beginning and throughout the performance of the solution. This can be done only in between the analysis period. It has two techniques namely the Cross-hatching that 8

10 involves the process of eliminating numbers from the rows or columns. Second is the Counting method. This is utilized in identifying the missing numerals that will help in speeding up your search. A player usually explores all the possible contingencies during the process of scanning. Marking up This follows when scanning ends. This is the time when the player couldn t find any further numerals that can be discovered. It is the turning point for your logical analysis. It is helpful if you can make use of some notations that will be placed on the blank cell for your guidance. Your notation can be represented by either a subscript or a dot, depending on your preference. Analysis This is now the final process that you will have to do. It involves two main approaches, the socalled candidate elimination and the what-if. On the first approach, progress is done by sequentially removing the candidate numerals to the point that there will only be a single choice that will be left. For every solution achieved, another scanning can be done. Several methods of candidate elimination can also be applicable; it can be through matching of the cells or matching of the numerals. The what if approach will somehow include guessing, although you will still need to follow your logical choice of number. A cell that has only two candidate numerals is chosen and then you can make your own guess. In Computer solutions, it also uses a distinct approach whereas algorithm is commonly used. However, other more effective general approaches have been found. It constitutes Sudoku solving programs such as the following: - The emulation of the solving methodology of man as closely as possible. This will allow the determination of the level of difficulty of any inputted puzzle. - One should have the capability of solving the problem given on a puzzle as efficient as possible. Through this, man can create a faster resort for computation. It is a fact that it is possible for computers to find a solution for the puzzle problem as quick as you want it. However, you should also be able to determine if the method used by the computer is valid or not. In other words, it should only have one exact solution for every problem. Some of the computer analysis could even imitate a human solver, such as the marking up approach. Rapid solvers can as well use the trial and error method process so that they can create the best possible solution for the problem. In Sudoku puzzle, it is also quite ironic unlike other types of puzzle games. The lesser the numerical figures that are given is easier to solve while the more average numbers given are more difficult. Thus, the level of difficulty is not being gauged on the quantity of the given number but with the positioning of the digit. No matter what approach you seize in playing Sudoku puzzle, as long as you know its proper rules and strategy in every move that you make, you can surely win the game. 9

11 Challenge Yourself with Sudoku Games Japan is a country well known for its advanced nature and high technology. In fact, it has been able to surpass most of its neighboring countries. This is not surprising since Japan at present is one of the world s best producers of high-tech equipment and machines. In addition Japan is also well known for creating some of the best pc games and online games. And once again they have proven their ability to create games that will transcend all other games available when they have introduced sudoku to the world. Sudoku is a number placing game invented and popularized in Japan. It was later launched on the internet and became one of the most popular games in the world today. The concept behind sudoku was taken from another puzzle game which is the crossword puzzle. The only difference between these two puzzle games is the fact that sudoku makes use of numbers instead of letters. The numbers used range from 1 to 9. These numbers are to be placed correctly on the rows and columns that are located on a 3x3 square. The numbers should appear in their correct orders and that is where the challenge sets in. If you are one of those people that love brain teasers then sudoku is the game for you. I just want to point out that although sudoku games deal with numbers, it is not considered a math game for the very simple reason that it does not involve the use of any mathematical formulas or concept. Sudoku games call for lateral thinking and this is also one of the reasons why it has created such a big impact around the globe. Sudoku games are very simple to play. There are no complicated instructions involved and the best thing about this game is that you can compete with other sudoku players around the world. How? Well all you need is to have a computer, an internet connection and don t forget to register to a sudoku game provider online. The registration is entirely free so it s all fun and games for you. You will be able to compete with other registered players from every part of the globe. Is that cool or what? Aside from that all the winners on the competition are going to be posted on the leader board of the web site. And before I forget the winner of the sudoku game is chosen based on the speed of solving the puzzle. There is no age limit in playing sudoku games everybody is welcome to join and enjoy the game. This makes sudoku games ideal for families that want to spend quality time together. Sudoku number placing games are also ideal in exercising the brain. Imagine a game that lets you enjoy and learn at the same time. Although there are also games that can provide you the same benefit but the overall effect on you is different. Aside from that, most educational games online would usually interest a player for a short period of time but sudoku number puzzles are very different from them since the more a player plays it the more he or she becomes addicted to the game. And unlike any other games that have a certain maximum level to reach (and after reaching it the game is complete or finished) sudoku games are not restricted by levels. This is also the reason why people continuously play this game. 10

12 Sudoku games can give you a degree of confidence as well as a sense of achievement especially after solving a very hard puzzle. Another important thing to remember about sudoku games is that each number puzzle has a unique solution that can be obtained using logic and without resorting to guessing. Plus you can never cheat on a sudoku puzzle, which makes sudoku even more challenging and worthwhile. Aside from the internet you may also find sudoku games on newspapers, magazines and the likes. You may also download a sudoku game on your mobile phone and on your personal computer. Simply choose the downloader that is suitable for your computer. There are also printable e-books available that you can purchase online. Samurai Sudoku: A Different Challenge Do you want to use you leisure time but do not know how to spend it? You may be tired and used to conventional games you play. You are maybe fed up with the same old games you do during your leisure time. Maybe you are thinking about venturing to other games that is worth spending your valuable leisure time on. If you are going to choose a game, make sure that the game you choose will not only give you enjoyment. Make sure that the game you will be choosing also exercises your brain and your logical thinking as well. Crossword puzzles may be boring as you may have always played with it every single day of your life. Why not try to indulge into more productive games available. If you do not know what to try, this article will give you the best puzzle games available today. Continue reading and learn more about sudoku and its very famous kind. What is sudoku and how are you going to play with it? Sudoku is a puzzle game that most of the people go crazy over. It is the newest craze when it comes to puzzle games. In sudoku, you will only have to finish the goal which is to complete the puzzle. You will use only numbers from 1 to 9 by filling it up to the blank spaces on the box provided. The game is preloaded with several numbers and your job will be to supply the missing number on the box provided. The game is composed of columns and rows. You will be matching the numbers to each other to perfect the game. You can spend only almost 10 to 30 minutes of your time on playing the games. It sometimes depends on the intensity level and the expertise of the player. There are 6 levels available for sudoku. It is the light, easy, moderate hard, difficult and very difficult. It is better if you start over the easiest one so you will add level each time you finish one. And once you finish all it, you can try doing other kinds of sudoku. The funny thing about it is that although it is consist of number, you do not have to be an expert in number to solve it. It does not require mathematical skills even if it is played using numbers. You will not be using methodical solutions such as addition, subtraction, multiplication and division. You do not need to be a mathematical wizard to be able to play with the game. All you need is a logical mind and a powerful reasoning power. You also need to have range of methods and tactics to be able to finish the games. 11

13 There are several variations of sudoku. And with these different variations, you can choose which one will be the best game puzzle to make you enjoy. There is this particular type that is difficult but enjoyable to play with. It is called Samurai sudoku. The most famous kind is the samurai sudoku, which is another variation of sudoku. Samurai sudoku is made popular by the Times Newspaper. The mode of playing the game is the same as the conventional one but the only difference is that; samurai sudoku consists of five sudokus. They are linked to one another forming one puzzle game. You need to be an expert in sudoku if you want to perfect it. It is based on a Japanese type of crossword that requires logical thinking and only that. Aside from giving your brain a tiny twist you can exercise your logical thinking as well. You can energize your neurons to think faster by playing with samurai sudoku. Finding it is never a difficulty, you can try logging onto some websites to find printable samurai sudoku. You only have to choose which website is the best source of samurai sudoku. Search engines can be a good help to your search. Magazines, newspapers and other reading materials are also the best source of samurai sudoku. They best part of it is that it is free. You do not have top spend money to play with it. Enjoy playing with sudoku and have the most enjoyable time in your office break. 7 Careful Steps on How to Solve Sudoku It is expected that many are familiar with the puzzle game Sudoku. It may seem to be very hard in the first try, but many gamers that it is not as difficult as it looks. The objective of this game is to complete the whole grid with the numbers 1 to 9. Depending on the level of the puzzle, it can be very simple and yet be very difficult. In order to solve the puzzle, the game requires the player to use a little logic and intense analysis. You must also remember the rule in solving the Sudoku: you must fill in each cell of the 9 x 9 grid with the numbers from 1 to 9. However, each of the numbers must only appear once in every row, every column and in every cell of the 3 x 3 boxes. The fastest way to solve it is to look for the possible numbers that can go in each row, column or cell. You can simply ask yourself what numbers could possibly take in each location. Once you place a number in a box, no other box in that row, column or block can take that number. In this way, it lessens the possible numbers in a box. Always keep a record that could go in every box and eventually have a little or no choice in the end. The following are steps used on how to solve Sudoku. Follow these steps to easily complete the puzzle. 1. Write all the possible numbers that can be in each row, column or block in a large piece of paper. Make a grid consisting of a 9 x 9 box, which has numbers from 1 to 9. 12

14 2. One by one, add all the recognized numbers to the grid. 3. Remove all the numbers that cannot go to the cell because a recognized number of the same value should be in the same row, column or 9 x 9 blocks. Perhaps, there is recognized possible numbers that can go in the cell. 4. Once you already know which of the nine numbers should not be in the cell, you can now decide what the possible numbers are. In some instances, there is only one choice left for the player. Do the steps 2 and 4 again using that number. While in other instances, you will need to search for possible numbers that should appear once in each row, each column and each block. 5. There are chances that you might wind up with circumstances (such as you have already tried everything) there is more than a single choice. If this happens, this may become a bit difficult. If you are fortunate enough then, you can select any of the numbers and go on with steps 2 and 4 again. This is usually a characteristic of an easy Sudoku, not the hard Sudoku, so be wary and alert. The best way to do is to begin by using a soft pencil and eraser. 6. In the same style with step 3, remove all the numbers that cannot possibly go in the cell. This is because a recognized number of similar values should be the same row or column since it should not be placed anywhere else in the 9 x 9 grid. This may be a bit confusing so please be careful. For example, if two cells already have 2 or 6 and both should be in the cell, other empty cells in the row or column should not contain either of these two numbers. If there will be an opportunity for any success, you can always return and do step 3 again. Or else, it would be great if you again use your pencil to solve the problem. 7. Lastly, always check for the result. When you add all the numbers of each row, column or block the total must be 45. Add them all up and find out why you had to use a piece of paper. All the seven steps may seem to be very difficult to follow. However, read each step and try to analyze what it is trying to imply and you will realize that it is not as difficult as you may think it is. When solving Sudoku, it requires patience and careful thinking. Remember it is a number puzzle game, not a crossword. So, it can really be difficult, sometimes. Easy and Difficult Ways of Solving Sudoku Sudoku is an addicting number puzzle game that is played in all parts of the world. It is a very thrilling and exciting game. However, the Sudoku can be very difficult and tricky. The rule for this game is to place all the numbers from 1 to 9 in each cell in the grid. The limitation is that the numbers should not be repeated in each row, column and 3 x 3 block. 13

15 Now, how will you start solving the Sudoku? The following are steps from easy to difficult Sudoku, which can be very helpful to each player of the game. Easy Sudoku 1. You should use careful thought in solving the puzzle. Since you already know that duplication of the numbers is not allowed in the game, you can already use that as a hint to consider other numbers. Remember, the more difficult the Sudoku, the harder it is to start the puzzle. 2. In solving an easy Sudoku, you must first prioritize the search for possibilities. These possibilities are the numbers that are possible to be placed in the row, column or block. Therefore, if you know what the possible numbers are, it would be easier for you to choose which number is suitable to go there. 3. Start working from number 1 until you are already on your way to number 9. Since you already placed in some of the numbers, this must be your clue in searching for the other numbers. 4. If you get confused, you can always go back and be sure to look at each number you have already filled in. This will help you know if you have missed a number or not. Once everything is settled, you can continue the puzzle and complete it. Now, if you still cannot find what the problem is, start labeling each 3 x 3 box with every number that can possibly fill in the box. For instance, there is an empty box left. Fill the box with possible numbers and see the result. 5. It would be advisable to begin playing a Sudoku in a newspaper or magazine. There are newspapers or magazines, which have this puzzle in their pages. The easy puzzles are usually out during Monday and Tuesday. While the difficult ones are found on the following days. Hard Sudoku 1. Begin using the number 1. Use similar logic you used in the easy puzzle to complete each empty row, column and block with all the possible numbers. If necessary, put possibilities. The possibilities will help you at the latter part if you have two or three choices for each box but you cannot remember them. 2. Two cells in a block, row or column should be one of two numbers, you can use those to remove other possibilities. For instance, in a 3 x 3 block, there are four empty cells. From your analysis, you have established that: cell A and B can be 1, 2, 3, 4; cell C and D can be 3 or 4. From this, you will know that cell A and B can never be 3 or 4 since they already have 1 or 2. Cell C and D have to be either of 3 or 4. This information can be very helpful in completing other boxes. 3. Know that hard Sudoku can consume more time. A hard Sudoku can even take a few days to finish, but they can give players more fun, enjoyment and contentment after they have completed the puzzle. A hard Sudoku is just the same as the easy Sudoku--both will give you less clues to begin with. The best way of solving the hard Sudoku is when you already know the possible numbers that can go in each box. If you have two candidate numbers for a specific 14

16 row, column and 3 x 3 blocks, decide which of the two numbers should fill each location. This may be very confusing, but when you have applied it, you will realize that it is so simple and very useful. 4. Visit the internet. There are websites that provide Sudoku puzzles--from easy to hard. Practice on some the sample puzzles to prepare you to a more complicated Sudoku. Follow the steps in solving the Sudoku. And find out that no matter how difficult they may seem to be, in the end, the fun and excitement that you will feel is incomparable. 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 puzzles--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 15

17 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 onto. The 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. Sudoku Game: A Worldwide Trend That Tends to Stay Forever Have you ever heard of the Sudoku game? If you do, then you must be following all the trends that are happening around you. Anyway, who does not know anything about it? The children, youth and the elders know how to play the Sudoku game. Sudoku game is a new Japanese puzzle game that is taking the entire world by storm. It started as an unknown game but it already conquered Japan in the 80s. Today, there are over a million players who play it every month on the internet. For those people who do not know the Sudoku game, it is basically a game of numbers from 1 to 9. You have to start with a 9 x 9 grid which is divided into 9, 3 x 3 boxes. 16

18 The first grid should have a series of numbers, which is scattered in each row and column in random order. There is a technique behind this silly game. First, you have to make sure that you have all the numbers from 1 to 9 in every row and/or column. And second, you should not have two same numbers in each 9 x 9 grid. This may be a bit confusing (as it is a puzzle), but when you see and play the Sudoku game, you will realize that it has a great sense. Once you begin with a Sudoku game, it is expected that you will find it very difficult to stop. Most players are not at first a great fun of puzzles and crosswords but, the time they started to play for it, they were hooked by the game. They would even make sure that they have completed the game. What makes it very addicting is the continuous challenge it gives to the players. The preplanned trial and error matched techniques, which depend mainly to the clues you have given make it easier for anyone to win. Compared to crossword puzzles, the Sudoku game does not require you to know every word found in the dictionary. In addition, this is not as frustrating as the first one since players can always return to the basic level and focus on their speed than completing it. For the main part, a single Sudoku game can be done from five minutes up to a couple of hours. Actually, it all depends on the level, which you have chosen to play. If you chose the difficult level then, probably it will take you hours to solve it. However, the easier level can be completed within 5 minutes to an hour. This means that there is a game for all types of Sudoku game players. The growth of this worldwide trend is fuelled by its big prizes and rewards that are beginning to rise in the Sudoku events and tournaments in the whole world. The prizes normally range from a few thousand U.S dollars up to a number of hundred dollars. This can be very pleasing if it gets you into the Sudoku game and win it for yourself. Luckily, since Sudoku game can be very difficult, there is software available to help you with your solution if you get stumbled on the course of the game. What you should do is to set in your solution and try to solve whether it is correct or wrong. This is the best and accurate way to know if you have the correct result or not. On the other hand, if you are playing the Sudoku game offline (newspaper, magazine or books) what you should do is to get your pen and paper, then perform the traditional way of solving. The best thing about playing a Sudoku game is that it gives a fair playing ground for everybody. A five year-old kid, a 65 year-old elder, a Math major professor and a person who do not know how to speak English can play for it and win at the end. As a conclusion, the craze for the Sudoku game will stay forever. This is not just a simple trend that will vanish after three to six months. Many people learn to love it and for sure they want to keep playing for it for the rest of their lives. 17

19 Sudoku Hints: The Secret to Solving the Sudoku Are you tired of your boring routine? Do you want a challenging game that will really keep you busy for at least a whole day? Perhaps you want a pastime that will really test your logical skills. Then, why not play the Sudoku game. For those people who still do not have an idea, Sudoku puzzles are number games of about completing a 9 x 9 grid with numbers. The puzzle also has a 3 x 3 block, which should contain numbers from 1 to 9. The numbers however, must appear only once and not more than that. In a Sudoku puzzle, any number from 1 to 9 must occur once in each row, column and block. At the start of the puzzle, players are already provided with initial set of numbers. It would be great if there were more numbers already filled in. This is because the lesser numbers provided, the harder it is to start the puzzle and finish it. A person can be a good player of Sudoku by playing and practicing the game correctly. Once a player familiarizes him/herself with the basics of the puzzle, it is expected that he or she can get advanced techniques and hints. These hints are helpful for the player since it can make the puzzle lighter and easier to do. When Getting Started As a player, you must ensure that a good Sudoku challenge is available in front of you--may it be a piece of software on your computer or any free Sudoku sites. The following are some of the best hints ever used in completing the Sudoku puzzle. - Scanning the Puzzle Look at each row, column or block, which are already filled with numbers. Know which of the numbers are left to be filled in. You can see the numbers used for each line, column or row and eliminate them from the possibilities. See which numbers do no exist yet vertically and horizontally and you can eliminate the possibilities. As you go along, you can just interchange the choices. - Mark Up your Place If there are possible numbers remained to be placed in a cell, write them above the cell and return to it again when you have already placed in more numbers. Usually, when more boxes have already been filled in, you can remove other possible numbers in order to have the right number. Slowly but surely you can get the right numbers in. Just be patient, attentive and alert. - Educated and Careful Guessing Although in some instances, logic can really be a great help. However, in some points, there is nothing wrong with guessing. When you already have filled in all the possible numbers in the box, use the first two hints. In this way, you will have an idea about the possible numbers that you should put in the remaining empty cells. 18

20 Put a possible number in an empty cell and begin working on the other empty cells in the puzzle. At some point, you will know if your guess is correct (which is good for you!) or wrong (too bad, try again). However, you must be careful since you are getting close to completing the entire puzzle. - Do Not Be Afraid to Ask Experts It is known that most experts already know a whole lot about Sudoku--from the techniques, solutions, strategies and hints. Remember, they are not called an expert for no reason. This means that they had already solved different levels of the Sudoku game. Therefore, it will not be difficult for them to explain the hints they used every time they play the Sudoku puzzle. If you want to look for the simpler hints, there are also books and guides that are being offered in the market. These books and guides are useful especially for the beginners who would want to experience the challenge of the Sudoku. Otherwise, you can always visit any Sudoku website and look for the best hints available. The Sudoku hints given above are only some of the many hints usually used by most Sudoku players. By carefully following them, it is assured that you can start the game easily and end it successfully. As we exercise our body, we should also exercise our brains, Sudoku is a great way to do just that. 19

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