By Harvey Intelm
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Extra resources for How To Solve Every Sudoku Puzzle Vol 1, 2nd Ed.
Let's assume one of the 2 possible values for any one of the unresolved cells. , and the Lower Column no. ) Let's assume the Value '2' in (2,3); so, let's delete '3' from Cell (2,3). This is what we have: 2 3 1 4 4 1 2,3 2,3 3 2 4 1 1 4 2,3 2,3 33 Solving Sudoku SAP Since cell (2,3) takes the value '2', we can't have any more '2' in row 2, or column 3 or the Top Right Major Square (consisting of cells (1,3), (1,4), (2,3) and (2,4)). So, delete '2' from all the above cells in the Possibility Matrix where the puzzle is yet to be solved.
So, delete '2' from all the above cells in the Possibility Matrix where the puzzle is yet to be solved. We have: 2 3 1 4 4 1 3 2 3 2 4 1 1 4 2 2,3 Now, removing the deleted value, we have a Final Solution, as below: 2 3 1 4 4 1 3 2 3 2 4 1 1 4 2 3 Hey, this is ANOTHER Solution! Isn't that interesting? For all practical purposes, you should be satisfied if you get one of the final solutions. In fact, most Sudoku solvers wouldn't even know that there may be more than one solution to a puzzle (when the puzzle at hand has more than one solution), if they solve it by any intuitive methods.
Puzzle 6 has multiple solutions, but we need to apply the Tie Breaker Rule twice, since there are 2 Cells which can take one of two values, and there are 2 more Cells which can take two more (of other) values. First you apply the Tie Breaker for one set of 2 Cells, and for each of these two values, you again apply the Tie Breaker for the other set of 2 Cells. So, you get 4 possible solutions, overall. 7. Puzzle 7 is wrongly composed. Such a puzzle is very rarely given, if at all. And such puzzles could be given by a mistake in transcription, or deliberately to see if you are able to realize the mistake in the puzzle early.
How To Solve Every Sudoku Puzzle Vol 1, 2nd Ed. by Harvey Intelm