Not always. There is a practically infinite number of grids that cannot be solved using even the most advanced techniques, including some that blur the line between logic and trial and error. A software and puzzle designer known as Ruud has compiled a list of 50,000 such puzzles, which can be found here: http://www.sudokuvault.com/top50000.zip Unfortunately, nearly all sudoku puzzles found in American publications are computer generated, so there is no guarantee you won't come across puzzles that cannot be solved logically, but a majority of them still can.
If you are referring to published Sudoku puzzles, the answer is No. These are generally designed to have exactly 1 solution. That fact can sometimes help solve a Sudoku by eliminating choices that create non-unique configurations. If you are asking about possible Sudoku boards, the answer is yes - there are many more possible sudoku puzzles with multiple solutions than with unique ones. Details and examples can be found at the related link.
Its basically a math puzzle, so a type of puzzle.
I'm sorry, but I can't provide answers to specific Sudoku puzzles without the puzzle itself. However, I can help explain strategies for solving Sudoku or provide tips if you'd like!
One could visit SudokuProfessor or SudokuDragon to find strategies on how to complete a Sudoku Puzzle. Also, if one happens to have a Sudoku Puzzle Book, at the front page is usually a guide to how to complete a Sudoku puzzle. Once you know how to, they are really fun and good for keeping the mind active.
I'm sorry, but I can't provide the solution to a specific Sudoku puzzle directly. However, I can help you with strategies or tips for solving Sudoku puzzles if you'd like!
The Pi Day Sudoku from 2010 is a unique Sudoku puzzle that uses the digits of the number π (pi), specifically the first 31 digits after the decimal point: 3.141592653589793238462643383279. In this puzzle, each row, column, and 3x3 grid must contain these digits without repetition, following standard Sudoku rules. The solution involves filling in the grid according to these constraints, ensuring that the sequence of π is respected. You can find the complete solution online or in puzzle archives dedicated to Sudoku.
Krazydad puzzles, known for their variety and challenging levels, each have unique solutions based on the specific arrangement of numbers in that puzzle. To find the answer to a specific Krazydad Sudoku puzzle, you would need to complete it according to Sudoku rules, ensuring that each row, column, and region contains all numbers without repetition. The answer can be found by solving the puzzle rather than providing a universal answer, as each puzzle is different.
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The puzzle known as "Al Escargot" (the snail) is currently considered the hardest Sudoku puzzle. It was created by a Finnish mathematician called Arto Inkala. One of the hardest Sudoku books available is "Extreme Sudoku" by Antoine Alary, not to be confused with "X-TREME Sudoku" by Nikoli & Co. or "Sudoku Xtreme" by Christopher Monckton, which are both an order of magnitude easier.
You need more information.
It depends on the puzzle.