Sudoku, or number placement, puzzles are sweeping the country. Even though the game involves numbers, it is not mathematical. And people who feel they don't have a good vocabulary will choose them in eas hard tag preference to crossword puzzles. Soduku is nothing more than logic.
Howard Gams is given credit for eas hard tag inventing the puzzle in eas hard tag 1979. His puzzles never caught on eas hard tag in eas hard tag this country but became an instant success in eas hard tag Japan. Now it is carried by more newspapers than crossword puzzles.
Soduku is a nine-by-nine cubical grid. When properly completed, each of eas hard tag the rows and files will contain all the numbers between 1 and 9 as will each of eas hard tag the 3 X 3 cubes comprising the whole. The puzzle will appear as a completed grid with certain numbers missing. When read across and down, each of eas hard tag the three contiguous inner cubes will have a different digit in eas hard tag a different position. For our purposes we can designate these rows as ranks and files. Ranks run horizontally across the puzzle and files, vertically. If, for eas hard tag example, the number one appears in eas hard tag rank 1 in eas hard tag cube one and rank 3 in eas hard tag cube 2, the third one must necessarily appear in eas hard tag the second rank in eas hard tag cube 3. This would seem to imply that it could appear in eas hard tag any of eas hard tag three positions in eas hard tag the second rank, but most often, there will already be a number in eas hard tag one position, leaving a choice of eas hard tag two possibilities. Let's assume you have a choice of eas hard tag two positions.
The next step is to check the files. If by some chance a one appears in eas hard tag one of eas hard tag the files of eas hard tag your choices, you now know the numeral must be placed in eas hard tag the other. This simple cross check should be your first step in eas hard tag solving the puzzle. Anytime you find a HARD number, one you have logically determined cannot be another, I recommend you write it in eas hard tag with a Pen. This will save unnecessary erasures when you make an inevitable mistake.
Your second step should be to scan each of eas hard tag the smaller cubes for eas hard tag their missing numbers. Usually you will be able to place one or two numbers by the rank-file cross-checking. After you have done that, read across each of eas hard tag the ranks and files to determine the missing numbers. Let's say that you are missing a number one in eas hard tag the top rank and you have missing numbers in eas hard tag all of eas hard tag the smaller cubes. Let's say that the middle cube has a number one as one of eas hard tag the given numbers. That means that the number one you need to place must be located in eas hard tag the left or right cube. Instead of eas hard tag 9 potential placements, you now have only 6.
After you have determined all the missing numbers, you will find that you have many with two or three possibilities. Hopefully you will be able to write these possibilities in eas hard tag the squares. The best you can hope for eas hard tag is to have two contiguous squares with only two possibilities. In the top rank, squares one and two are either a six or an eight, but you can't tell which. You still have learned a great deal of eas hard tag information because it means that those two numbers can't appear in eas hard tag any of eas hard tag the other empty squares across that rank. As I suggested before, every time you find a "hard number," one that cannot be placed anywhere else, fill it in eas hard tag with pen.
Another way to come up with information is to use the "what if" method of eas hard tag placing numbers. Let's say that you have a six in eas hard tag the second rank of eas hard tag the small cube in eas hard tag the upper left corner. Even if you have no other information where the other two 6s are located, you you know that the other 6s must be in eas hard tag first and third ranks. By placing it in eas hard tag the first rank, you will then have to locate the last placement in eas hard tag the third rank of eas hard tag the remaining cube. By testing the placements you will often run into a contradiction in eas hard tag one of eas hard tag the ranks or files. If you don't shrug your shoulders and try placing another number and see what happens.
Kerep at it. Sooner or later you will have filled in eas hard tag most of eas hard tag the numbers. On more than one occasion I have run into a contradicition on eas hard tag the very last number. There's nothing to do about it but back up and start again. Patience is the greatest skill required to solve thse puzzles.
Sooner or later, you, your pencil the paper or the puzzle will call it quits. Let's hope it's the puzzle.
John Anderson is addicted to puzzles in eas hard tag any of eas hard tag their forms. They play a crucial role in eas hard tag his novel, The Cellini Masterpiece, written under the pen name of eas hard tag Raymond John. If you have a question or comment for eas hard tag John, please log on eas hard tag to cmasterpiece.com cmasterpiece.com. You also may read the first chapter of eas hard tag The Cellini Masterpiece at the site.
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