The 46 twins will help us find where the 4 fits in box 8. There are 37 twins in r7c9 and r8c8 (because of the 3 and 7 already in column 7) and therefore there are 46 twins in the other two empty cells r7c7 and r8c7. Now look at box 9 - it has two sets of twins that can't be solved yet, but we know they are twins. The 6 can only fit in column 5 (because of the 6 in box 5) and the 9 can only fit in r7 (because of the 9 in box 7). With the obvious clues we have the 4 can fit in any empty cell. Now let's look at this puzzle and see what is possible in these cells.īox 8 has three empty cells and is missing 469. Puzzle #88 from Sudoku To Go volume 103 by Soap Opera Digest The four cells that are circled are a place where we can use the ambiguity rule. We can take advantage of this and use it to give us clues about where numbers can go. Many puzzle solvers call this situation sudoku Unique Rectangles, or sudoku UR for short. This is what is called the sudoku ambiguity rule. During this process the designer must be careful not to remove two numbers that would cause an ambiguity (where those two numbers could be swapped and the puzzle could be completed two different ways, therefore having two solutions). One strategy for designing a puzzle is to selectively remove numbers and then try to solve the puzzle with the remaining numbers. If a given cell has a 5 in it, for example, the puzzle cannot be correctly solved with any other number in that cell. In fact, by definition, a sudoku puzzle is not a sudoku puzzle unless it only has one solution.Įvery cell in the puzzle can only have one of the nine numbers in it to be solved correctly. This means that you can not solve it in more than one way. When Sudoku puzzles are created the designers make sure that there is one and only one solution to a given puzzle. If Sudoku Primer and the YouTube channel have helped you, consider donating a little
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