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No.

The most difficult levels require you to assume that a box is filled with one number or another. You pick one of the numbers, and then, you must follow the puzzle until you either solve it, or come to a impossible situation. Using the logical reasoning of "reductio ad absurdum", you then conclude that the number you picked WASN'T the correct number and start over from that junction point. It is VERY discouraging to have to resort to that technique, so I always play the ones that you can logically solve all the way whenever possible.

If there was an easy way to mark a board and erase the wrong entries, then it wouldn't be so bad. Perhaps I could use a dry erase board with a different color when I got to a junction. That way, all I'd have to do is erase all the guesses in that color.

There is another situation where you are forced to resort to guessing.

Not all of the people who make Sudoku puzzles are aware that you must check your new puzzle for conformity to rules of what exactly makes a Sudoku puzzle. As a result, there are an amazing number of producers of puzzles that simply have no clue that what they are producing are not at all Sudoku puzzles, but something that only looks EXACTLY LIKE a Sudoku puzzle. These supposed "Sudoku puzzles" have not one, but anywhere from 2 to hundreds of solutions. Naturally, it is not possible to solve such a "puzzle" with only logic, as logic will fail to reduce the number of choices down to only 1 solution, a necessary component of actual Sudoku puzzles.

You can check online at many websites to determine whether or not the puzzle you are working on is an actual Sudoku puzzle or not. It might just save your sanity! The number of erroneous Sudoku puzzles being published out there is legion! I have a hand held game device made in China that produces almost NO useful Sudoku puzzles. My mother got it for me. Thanks, Mom! Great present! *Note to readers: Beware bargain basement clearance bins. The merchandise is in there for a reason, and sometimes, that reason is because the product in the bin doesn't do anything useful, besides take your money.

There is a famous hedge in Japan, where the vegetation was planted to produce a Sudoku puzzle. You would think that people that go to that much trouble (manufacturing and planting) would also check to make sure that they produced a useful puzzle so that their efforts would not turn out to be totally wasted, but you would be mistaken. So, don't assume that just because you are looking at a grid of what appears to be a Sudoku puzzle, that it really is one.

I only get my puzzles from trusted authors now, and I haven't run in to a non-working Sudoku puzzle for months... I suggest that you start keeping track of who does a good job for you, and then only go to those places for your puzzles.

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Q: Can all sudoku be solved without guessing?
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