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Sandwich Sudoku: A Tasty Twist on the Classic Sudoku Game


Sandwich Sudoku: A Delicious Twist on the Classic Puzzle




If you love Sudoku and want to try something new, you might want to check out Sandwich Sudoku, a Sudoku variant that mixes logic and arithmetic in a tasty way. Sandwich Sudoku follows the same rules as regular Sudoku, but adds extra clues outside the grid that indicate the sum of the digits between the 1 and the 9 in each row or column. These clues are called sandwich clues, because they tell you what is "sandwiched" between the bread slices of 1 and 9.




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In this article, we will explain what Sandwich Sudoku is, how to solve it, where to find and play it online, its history and popularity, and its benefits for your brain. Let's get started!


What is Sandwich Sudoku?




Sandwich Sudoku is a Sudoku variant that uses extra numbers outside of the grid to give you more information about the puzzle. It is also sometimes known as Between 1 and 9 Sudoku or Sum Sudoku.


The basic rules




The basic rules of Sandwich Sudoku are the same as regular Sudoku. You have a 9x9 grid that is divided into nine 3x3 boxes. You need to fill in the grid with digits from 1 to 9, so that each row, column, and box contains each digit exactly once. No digit can be repeated in any row, column, or box.


The sandwich clues




The difference between Sandwich Sudoku and regular Sudoku is that Sandwich Sudoku gives you extra clues outside the grid, next to each row and column. These clues are numbers that tell you the sum of the digits that are placed between the 1 and the 9 in that row or column. For example, if a row contains the digits 6 2 9 3 4 5 1 7 8, the clue for that row would be 12, because the sum of the digits between the 1 and the 9 is 3 + 4 + 5 = 12. If there are no digits between the 1 and the 9, the clue would be 0. The largest clue possible is 35, which means that all the digits from 2 to 8 are between the 1 and the 9.


Here is an example of a Sandwich Sudoku puzzle with some clues:


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0 0 ---+-------------------+--- ---+-------------------+--- ---+-------------------+--- 067845910 ---+-------------------+--- 054678190 ---+-------------------+--- 089756420 ---+-------------------+--- 076584230 ---+-------------------+--- 045967810 ---+-------------------+--- 098412670 ---+-------------------+--- 0 0


How to Solve Sandwich Sudoku?




Solving a Sandwich Sudoku puzzle requires a combination of logic and arithmetic skills. You need to use both the sandwich clues and the regular Sudoku rules to eliminate possibilities and place the correct digits in the grid. Here are some tips and tricks to help you solve Sandwich Sudoku puzzles:


Some tips and tricks




  • Look for clues that are 0, 35, or close to them. These clues give you a lot of information about the placement of the 1 and the 9, and sometimes other digits as well. For example, if a clue is 0, it means that the 1 and the 9 are adjacent in that row or column. If a clue is 35, it means that the 1 and the 9 are at the ends of that row or column, and all the other digits are between them.



  • Look for clues that are multiples of 9. These clues tell you that the digits between the 1 and the 9 add up to a multiple of 9, which means that they must include a 9. For example, if a clue is 18, it means that there are two digits between the 1 and the 9, and one of them is a 9.



  • Look for clues that are odd or even. These clues tell you something about the parity of the digits between the 1 and the 9. For example, if a clue is odd, it means that there are an odd number of digits between the 1 and the 9, and their sum is also odd. This can help you eliminate some possibilities.



  • Look for clues that are small or large. These clues tell you something about the size of the digits between the 1 and the 9. For example, if a clue is small, it means that there are few digits between the 1 and the 9, and they are mostly small. This can help you narrow down some options.



  • Use logic and deduction to fill in the grid. Once you have some information from the sandwich clues, you can use the regular Sudoku rules to eliminate candidates and place digits in the grid. You can also use some advanced Sudoku techniques, such as naked pairs, hidden singles, or X-wings, to solve harder puzzles.



An example puzzle




Let's try to solve an example puzzle using some of these tips and tricks. Here is the puzzle:


0 0 ---+-------------------+--- ---+-------------------+--- ---+-------------------+--- 067845910 ---+-------------------+--- 054678190 ---+-------------------+--- 089756420 ---+-------------------+--- 076584230 ---+-------------------+--- 045967810 ---+-------------------+--- 098412670 ---+-------------------+--- 0 0


The first thing we notice is that there are four clues that are 0: one in each corner of the grid. This means that we can place a 1 and a 9 next to each other in those rows and columns. We can also eliminate any other candidates for those cells. Here is what we get:


0 0 ---+-------------------+--- 1 9 ---+-------------------+--- 9 1 ---+-------------------+--- 074910 ---+-------------------+--- 047190 ---+-------------------+--- 095420 ---+-------------------+--- 068230 ---+-------------------+--- 056810 ---+-------------------+--- 081670 ---+-------------------+--- 1 9


The next thing we notice is that there are two clues that are multiples of 9: one in row 2 and one in column 2. This means that we can place a 9 between the 1 and the 9 in those row and column. We can also eliminate any other candidates for those cells. Here is what we get:


0 0 ---+-------------------+--- 19 9 ---+-------------------+--- 99 1 ---+-------------------+--- 074910 ---+-------------------+--- 047190 ---+-------------------+--- 095420 ---+-------------------+--- 068230 ---+-------------------+--- 056810 ---+-------------------+--- 081670 ---+-------------------+--- 1 9


The next thing we notice is that there are two clues that are odd: one in row 3 and one in column 3. This means that we can deduce some information about the parity of the digits between the 1 and the 9 in those row and column. For example, in row 3, the clue is 11, which means that there are three digits between the 1 and the 9, and their sum is odd. This means that either two of them are odd and one is even, or all of them are odd. Since we already have a 9 in that row, we can eliminate any other odd candidates for those cells. Here is what we get:


0 0 ---+-------------------+--- 19 9 ---+-------------------+--- 99234681 ---+-------------------+--- 074910 ---+-------------------+--- 047190 ---+-------------------+--- 095420 ---+-------------------+--- 068230 ---+-------------------+--- 056810 ---+-------------------+--- 081670 ---+-------------------+--- 1 9


We can continue using these tips and tricks, along with the regular Sudoku rules, to fill in the rest of the grid. Here is the final solution:


00 ---+-------------------+--- 19 ---+-------------------+--- 91 ---+-------------------+--- 00 ---+-------------------+--- 00 ---+-------------------+--- 00 ---+-------------------+--- 00 ---+-------------------+--- 00 ---+-------------------+--- (#message) Continue writing the article. [assistant](#message) Congratulations! You have solved a Sandwich Sudoku puzzle!


Where to Find and Play Sandwich Sudoku Online?




If you want to play more Sandwich Sudoku puzzles online, you have plenty of options to choose from. There are many websites and apps that offer Sandwich Sudoku puzzles of different levels of difficulty, from easy to expert. Some of them also have features such as hints, timers, statistics, leaderboards, and more.


Some websites and apps




Here are some of the websites and apps that you can use to play Sandwich Sudoku online:


: This website has hundreds of Sandwich Sudoku puzzles that you can play