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The Omnifarium - Sudoku/10.html

Notice

I am no longer posting new puzzles to this blog. For all of my Sudoku puzzles, old and new, please visit Sudoku in another section of this website. I will still create and offer new puzzles, in batches of a couple of hundred, once a week or so.

Sudoku #10

Category: Sudoku
Tue, 28 Jun 2005, 21:03

One Sudoku fan asked me where she could find the answers to my puzzles. The way to find the answer, simply, is to solve the puzzle. In this note, and several future notes, I'll discuss how to solve Sudoku puzzles.

The object, of course, is to place numbers from one to nine in the blank cells such that each row, column, and 3x3 square includes each of the digits from one to nine exactly once.

To start, look at each blank cell. The possible values for that cell are the values not found in any of the 24 other cells in its associated row, column, and 3x3 square. In each blank cell, list out its possibilities using a sharp pencil. And have a good eraser handy. The general idea is to repeatedly eliminate possibilities until only one possibility remains for all 81 cells.

Step one: While working through the solution, once a value becomes known for a cell, that value can be eliminated from the sets of possible values for all other cells in its associated row, column, and square.

Step two: If you see any cell that has only one possible value, then that must be the value for that cell. Go back to step one.

Step three: Look for a row, column, or square where some number from one to nine is found only once among the sets of possibilities in that group. That must be the value of its cell. Eliminate the other possibilities for that cell and go back to step one.

Repeat these three simple steps as often as necessary.

For many puzzles, these steps are all you need. But if you want to solve any of the puzzles here (including the one below), you'll need more. Check back in a couple of days for the first of several advanced Sudoku solving techniques.

Hans

3    
  8  
    2
     
2    
  3  
     
5 6  
  7 4
9 5  
     
     
6    
     
    4
     
     
  1 8
5 4  
  7 6
     
  7  
    1
     
6    
  8  
    9

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