8

1

9

7

4

8

8

1,3,

4,7,9

1,7,9

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

7,9 1,3,9 6,8 2,8

7,8 6,8

3,4 2,4 4,9 2,3,9

By the Coloring Approach for How To Solve Sudoku Puzzles, if Cell (6,6) takes the value '4', then Cells (6,1) and (6,2) can't take '4', which means the Mid Left Major Square can't have a '4' in it. We can thus eliminate '4' from the Cell (6,6). By this deduction, '4' can only occupy one of the possible Cells (6,1) or (6,2). So, we can eliminate '4' from the Cell (6,6). Hence, we get the value of the Cell (6,6) as '9'.

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

7,8 6,8

3,4 2,4 9 2,3

3,8 1,6,8

3,8,9

By the Hidden Subsets Approach for How To Solve Sudoku Puzzles, considering the values '2', '3' and '8' in Mid Right Major Square, we find they can only occupy the Cells (4,9), (5,9) and (6,9). So, eliminating these three values from the other Cells in that Major Square and in C9, we get the values of the Cells (5,8) and (8,9) as '6' and '9' respectively. Consequently, by Reduction

Approach for How To Solve Sudoku Puzzles, we get the values of the Cell (4,8) and (5,7) as '1' and '9' respectively.

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

7,8 6,8

3,4 2,4 9 2,3

3,8 1

9

1,9

1,3,9 1,8

By Reduction Approach for How To Solve Sudoku Puzzles, we get the values of the Cells (7,7), (8,7) and (8,8) as '1' , '3' and '8' respectively.

Again, by Reduction Approach for How To Solve Sudoku Puzzles, we get value of the Cell (7,4) as '9'. The values '1' and '7' have to be shared between the Cells (5,5) and (8,5). So, By the Naked Subsets Approach for How To Solve Sudoku Puzzles, we can eliminate the values '1' and '7' from other possible Cells of C5. So, we get value of the Cell (1,5) as '3'

Solved Exercise on How To Solve Sudoku Puzzles: 4

By the Reduction Approach for How To Solve Sudoku Puzzles, we get the values of the Cells (2,5), (3,4) and (1,2) as '9' , '4' and '4' respectively

By further Reduction, we get the values of the Cells (2,1), (2,2), (2,3), (2,6), (3,1), (3,2) and (3,6) as '7', '8', '3', '1', '5', '9', '2', and '8' respectively.

By the Naked Singles Approach for How To Solve Sudoku Puzzles in C6, we get value of the Cell (5,6) as

7,8 6,8

3,7 5,6,8 2,5

2,4 3,4

By further Reduction, we get the values of the Cells (4,1), (4,2), (5,1), (5,2), (5,3), (6,1), (6,2) as '8, , '6' , '2' , '5' , '7', '4' and '3' respectively.

By Reduction Approach for How To Solve Sudoku Puzzles we get the values of the Cells (4,9), (5,4), (5,5), (5,9) and (6,9) as '3' , '3', '1' , '8' and '2' respectively.

7 5 2

4 3

1

3,7

3

1,7 1,7

3

8

2

Finally, by the Reduction Approach for How To Solve Sudoku Puzzles, we get the values of the Cells (4,4), (8,4) and (8,5) as '7' , '1' and '7' respectively.

So, we have been able to solve this Sudoku puzzle using 7 different Approach for How To Solve Sudoku Puzzleses namely, Naked Singles, Hidden Singles, Direct Interaction,

Naked Subsets, Hidden Subsets, Coloring and Reduction Approach for How To Solve Sudoku Puzzleses.

1 3

3

8

2

7

1 7

Partly Solved Exercise on How To Solve Sudoku Puzzles - 5 (Involving X-Wing Approach for How To Solve Sudoku Puzzles)

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