Showing posts with label Solving. Show all posts
Showing posts with label Solving. Show all posts

Thursday, December 23, 2010

Easy and Difficult Ways in 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.





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 clue 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 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.


Wednesday, December 22, 2010

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 point, 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.





Put a possible number in an empty cell and begin working on the other empty cells in the puzzle. In 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 expert already know a whole lot about Sudoku – from the techniques, solutions, strategies and hints. Remember, they will not be 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.