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Free Printable Sudoku for More Playing and Thinking Time

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If you are looking for a puzzle game that will give your brain that ultimate challenge when it comes to numbers and logic, you might as well give Sudoku puzzle game a try. Given thousands of puzzles that were made of different levels of difficulty, you might spend your whole day around placing the numerical digits of 1 to 9 in the puzzle cells or you may wish to take a rest first and continue solving it for the next day. Patience is really needed when solving Sudoku puzzle games.

Let us discuss first the nature of Sudoku puzzle game. A typical Sudoku puzzle (we say it is “typical” because nowadays we have different variations of the puzzle game) is composed of 81 cells which is formed by merging 9 rows and 9 columns. The puzzle is further subdivided into 9 subgrids which is composed of 3 x 3 cells on each grid.

At the start of the game, the puzzle has 30 or less cells initially filled with the numbers 1 to 9, depending on the level you have selected. The rule of the game is just simple: you need to fill up the remaining cells of the numbers 1 to 9 to complete the puzzle provided that you satisfy the rule that “the numbers 1 to 9 should only appear once on each row, column, and subgrid”. For example, if you have assigned the number 5 on the 2nd column and 4th row of the puzzle that number should not anymore appear again on that specific column and row. Also, at the same manner, it must also appear once on the subgrid that it is assigned to. Because of this rule, it will really take you some time before you complete the puzzle.

So where can you find Sudoku puzzles? You can get them on weekend or daily newspapers or magazines circulating in your area. If you are just lazy to go out of your house just to buy that newspaper, you may also try surfing the Internet and search for sites that offer free Sudoku puzzle game.

As mentioned earlier it will take you some time before you complete the puzzle, especially if you are a beginner. It is relatively impractical if you will be spending most of your time sitting in front of your computer. Moreover, you also want to analyze how to solve your puzzle before bedtime or even without Internet connectivity or you are on your playhouse. In this case, you need a free printable Sudoku puzzle.

In order to get that free printable Sudoku, all you have to do is to search for websites that offers such free printable Sudoku puzzle through major search engines. After selecting the website of your choice, you can download several puzzles to your computer and you will now be able to print it.

Most of these free printable Sudoku puzzle comes in PDF file format so it is essential that you have an Acrobat Reader software installed in your computer in order to display the puzzle correctly. If you do not have one, you may wish to download one for free on the Internet.

Have your Sudoku puzzle game be printed and share the fun with other members of your family and your friends as well. You will not only have that fun and excitement, you will also learn how to develop your patience and your logical thinking skills as well.

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The Devilish Side of Samurai Sudoku Puzzle

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So you love playing Sudoku puzzle games, isn’t it? Aside from providing you the excitement that you always want for entertainment, your mind is also exercised through logical reasoning method of completing the puzzle. Such Sudoku puzzle is great as a breakfast accompaniment every morning or a dinner appetizer every evening. Because of the wide acceptance of the standard Sudoku puzzle game, different Sudoku game designers started to make some variations of the game, in this case much harder and more complicated puzzles which needs more patience and determination in completing it.

This article will feature on one of the “devil variations” of Sudoku puzzle—the Samurai Sudoku. We will be discussing its nature and how it get the tag “devil” when it comes to the level of difficulty and complexity of this puzzle game. Read on and learn more about the Samurai Sudoku.

To fully understand the nature of Samurai Sudoku, let us first make an overview of the standard Sudoku puzzle and compare the differences of it with that of the Samurai variation. A standard Sudoku puzzle is typically composed of 81 cells that were formed by intersection or merging of 9 columns and 9 rows. The puzzle is further divided into 9 subgrids which is composed of 9 cells per subgrid.

At the start of the game, your standard Sudoku puzzle have cells initially filled with numerical digits from 1 to 9. Your task is to fill in the remaining cells with the said numerical digits to complete the puzzle provided that you satisfy the rule of “each numerical digit must only appear once on each row, column, and subgrid”. For instance, you have assigned the number 4 on the 8th column and 6th row. By applying the rule, such number will not appear twice on that particular column and row. In the same manner, such number must not also appear twice on that subgrid where it is assigned.

Now, it is time to discuss the Samurai Sudoku puzzle. Also called Gattai-5 Sudoku, this variation is composed of 5 overlapping grids, with one grid (that is composed of 82 cells) and the other four grids overlapping each corner grid of the center grid. The same rules apply on standard Sudoku puzzle will also be in effect on this variation where each row, column, and every 3 x 3 subgrid should only contain one of each digit.

What makes it quite “devilish” in nature is that you need to deal with five grids which are composed of 81 cells each. In this case, if you are averaging a day solving a single Sudoku puzzle, you will need now an extra 4 days solving a single Samurai Sudoku puzzle. You make it a week if you are quite busy in your work or any endeavor.

In other words, it will take you a minimum of a week before you complete a single Samurai Sudoku puzzle. Quite puzzling, isn’t it?

Just like the standard Sudoku puzzle game, a single Samurai Sudoku puzzle have only one and unique solution which cab be found by using logical reasoning technique and not by guessing alone.

There are available Samurai Sudoku puzzle on the Internet and you can either play it online or you have it printed. The solutions for this Sudoku variation can also be found on the Internet in case you can not solve it anymore.

Enjoy solving Samurai Sudoku puzzles and make the most of your day with it.

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Strategic Methods of Solver on Sudoku Puzzles

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Sudoku puzzle is a game requiring logical reasoning. Well, as a player or solver can incorporate three strategic methods upon giving solutions to the puzzle.

1. Scanning can be done on the outset all through out the solutions. It should be performed one time between periods of analysis. There are two basic methods in scanning. Advanced solvers search for contingencies while scanning. They narrow down the location of numerals within a column, rows or regions to two or three cells. If the cell cells all lie within the same column, row or region, they can be eliminated during counting and cross-hatching.

• Cross-hatching is the scanning of rows or columns identifying specific region lines containing numerals by a process of elimination. This again must be repeated for other columns or rows for getting results quickly. Remember to perform this technique systematically scanning numerals in their frequency order checking the digits from 1 to 9.

• Counting 1 to 9 regions, columns and rows for determining the missing numerals. You can speed up the search by counting from the last numeral being discovered. The easiest way to determine the value of individual cell is through reverse counting. By scanning the cell’s rows, regions and columns, the solver can see the value which cannot be placed determines which is left.

2. Marking up is another logical analysis done when you can no longer discover numerals through scanning method. There are two popular notations in marking used by solver.

• Subscripts notation refers to writing of the candidate numerals in the cells in subscript form. The only problem was that the solver finds it hard to put subscription to small shapes printed Sudoku puzzles. Solvers often make a larger copy of the puzzles or use mechanical or sharper pencil to put subscripts.

• Dot patterns notations on each square imply numbers from 1 to 9. This method can be used in the original puzzles. The solver clearly put the dots to avoid confusion using a sharp pencil having eraser in the end.

3. Analysis method, the solvers either uses the candidate elimination or what if as their approach to solving the puzzles.

• Candidate elimination is done by successively eliminating candidate numerals from one or more cells leaving just one choice. After the answers were determined, re-scanning or checking is recommended to see the contingencies effect.

• What-if approach refers to guessing of numeral values by selecting cells having two candidate numerals or givens. Then candidate elimination is repeated if duplication occurs. This method can also be a trial and error method. This also requires the use of pencil and eraser.

The above mentioned strategies used by solver can solve the Sudoku puzzle but it is proven to be computationally inefficient. Serious Sudoku solving programs are created with two approaches.

1. Adopt the human solving process as closely as possible which allows in determining the difficulty level of the inputted puzzle.

2. Solve the puzzle efficiently which allows faster computation.

Highly sophisticated and optimized backtracking programs for standard Sudoku problems are most efficient. Some solver is using the Knuth’s algorithm converting the Sudoku puzzle into a matrix cover problem because of simple and easy implementation, speed execution and availability of reference source code and documentation.

Whatever method the solver is applying, a Sudoku puzzle can still be fun and educational. Indeed, it is an engrossing game testing your logical reasoning.

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