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Can all Sudoku be solved without guessing?
The immediate answer is no. Any valid Sudoku can be solved without guessing, just by exhaustively trying all possibilities. However, there are two interesting variant interpretations of the question: Are there Sudoku puzzles that can’t be solved logically?
How do you play Sudoku without guessing?
There are more than a few techniques to solve a Sudoku puzzle, but per Conceptis Puzzles, the easiest way to a Sudoku solution is to, “Scan rows and columns within each triple-box area, eliminating numbers or squares and finding situations where only a single number can fit into a single square.” If you’re looking to …
Should you ever guess in Sudoku?
Sudoku does not require guessing. In fact, when solving Sudoku puzzles, you’re better off NOT guessing at all. Sudoku is a logic puzzle, using the power of simple deductive reasoning and process of elimination to fill in the gaps in the grid. Simply put – you don’t need luck to play Sudoku.
Can a Sudoku puzzle have more than one solution?
A Sudoku puzzle can have more than one solution, but in this case the kind of logical reasoning we described while discussing solving strategies may fall short. There are examples of rank-3 Sudoku puzzles with 17 givens that are well-formed. However, the minimum number of givens for which a rank-3 Sudoku can be well-formed is not known.
What do you do when you reach a contradiction in Sudoku?
If you reach a contradiction (a repeated digit in a row, column, or block), you should retrace your steps and undo what you’ve done until you have no contradiction. Exercise:Here is a Sudoku puzzle for you to try:
Why do you use nine placeholders in Sudoku?
The puzzle does not depend on the fact that the nine placeholders used are the digits from 1 to 9. Any nine symbols would serve just as well to create and solve the puzzles. In fact, mathematical thinking in the form of logical deduction is very useful in solving Sudokus.
How is a Sudoku of rank n well formed?
The fact discussed above can be restated as follows: If a Sudoku of rank n is well-formed, then it must have n2-1 distinct digits among the givens. It is important to note that this is not the same as stating that if a Sudoku of rank n has n2-1 distinct digits in the givens, then it is well-formed.