Easy and Hard Sudoku Printables Kids Activities Blog - Free Printable

Sudoku Puzzle Solution

The provided image is a Sudoku puzzle. The goal of Sudoku is to fill the 9x9 grid with digits from 1 to 9 such that each column, each row, and each of the nine 3x3 subgrids (also called "boxes" or "regions") contain all of the digits from 1 to 9 exactly once.

#### Initial Grid:
Here is the initial state of the Sudoku grid as shown in the image:

```
| | | 8 | | 6 | 2 | | | |
| | 3 | | 8 | 4 | | 9 | | 2 |
| 9 | 6 | | | | | | 1 | 4 |
|---+---+---+---+---+---+---+---+---|
| | 1 | 2 | | | 8 | 6 | | |
| 3 | | | 7 | 9 | | 2 | | |
| 6 | | 1 | | | | | 3 | 7 |
|---+---+---+---+---+---+---+---+---|
| | | 1 | 7 | 8 | | | 3 | |
| 6 | 8 | 5 | 2 | | | 7 | 4 | |
| 4 | | | | 9 | 6 | | | 1 |
```

---

Step-by-Step Solution

#### Step 1: Fill in obvious numbers
We start by looking for rows, columns, or boxes where only one number can fit in a particular cell.

1. Row 1, Column 9: The only missing number in Row 1 is 7.
```
| | | 8 | | 6 | 2 | | | 7 |
```

2. Row 3, Column 7: The only missing number in Row 3 is 5.
```
| 9 | 6 | | | | | 5 | 1 | 4 |
```

3. Row 6, Column 8: The only missing number in Row 6 is 5.
```
| 6 | | 1 | | | | | 5 | 7 |
```

4. Row 8, Column 6: The only missing number in Row 8 is 3.
```
| 6 | 8 | 5 | 2 | | 3 | 7 | 4 | |
```

5. Row 9, Column 5: The only missing number in Row 9 is 8.
```
| 4 | | | | 8 | 6 | | | 1 |
```

#### Step 2: Use elimination and logic
We continue filling in the grid using the process of elimination and logical deduction.

6. Row 1, Column 1: The only possible number for this cell is 5.
```
| 5 | | 8 | | 6 | 2 | | | 7 |
```

7. Row 1, Column 4: The only possible number for this cell is 1.
```
| 5 | | 8 | 1 | 6 | 2 | | | 7 |
```

8. Row 2, Column 1: The only possible number for this cell is 1.
```
| 1 | 3 | | 8 | 4 | | 9 | | 2 |
```

9. Row 2, Column 7: The only possible number for this cell is 5.
```
| 1 | 3 | | 8 | 4 | | 5 | | 2 |
```

10. Row 3, Column 3: The only possible number for this cell is 7.
```
| 9 | 6 | 7 | | | | 5 | 1 | 4 |
```

11. Row 3, Column 4: The only possible number for this cell is 2.
```
| 9 | 6 | 7 | 2 | | | 5 | 1 | 4 |
```

12. Row 4, Column 4: The only possible number for this cell is 5.
```
| | 1 | 2 | 5 | | 8 | 6 | | |
```

13. Row 4, Column 1: The only possible number for this cell is 4.
```
| 4 | 1 | 2 | 5 | | 8 | 6 | | |
```

14. Row 5, Column 2: The only possible number for this cell is 8.
```
| 3 | 8 | | 7 | 9 | | 2 | | |
```

15. Row 5, Column 3: The only possible number for this cell is 4.
```
| 3 | 8 | 4 | 7 | 9 | | 2 | | |
```

16. Row 5, Column 6: The only possible number for this cell is 5.
```
| 3 | 8 | 4 | 7 | 9 | 5 | 2 | | |
```

17. Row 6, Column 2: The only possible number for this cell is 2.
```
| 6 | 2 | 1 | | | | | 5 | 7 |
```

18. Row 6, Column 4: The only possible number for this cell is 4.
```
| 6 | 2 | 1 | 4 | | | | 5 | 7 |
```

19. Row 7, Column 1: The only possible number for this cell is 2.
```
| 2 | | 1 | 7 | 8 | | | 3 | |
```

20. Row 7, Column 2: The only possible number for this cell is 9.
```
| 2 | 9 | 1 | 7 | 8 | | | 3 | |
```

21. Row 7, Column 7: The only possible number for this cell is 4.
```
| 2 | 9 | 1 | 7 | 8 | | 4 | 3 | |
```

22. Row 8, Column 9: The only possible number for this cell is 9.
```
| 6 | 8 | 5 | 2 | | 3 | 7 | 4 | 9 |
```

23. Row 9, Column 3: The only possible number for this cell is 3.
```
| 4 | | 3 | | 8 | 6 | | | 1 |
```

24. Row 9, Column 4: The only possible number for this cell is 5.
```
| 4 | | 3 | 5 | 8 | 6 | | | 1 |
```

25. Row 9, Column 7: The only possible number for this cell is 7.
```
| 4 | | 3 | 5 | 8 | 6 | 7 | | 1 |
```

26. Row 9, Column 8: The only possible number for this cell is 9.
```
| 4 | | 3 | 5 | 8 | 6 | 7 | 9 | 1 |
```

27. Row 9, Column 2: The only possible number for this cell is 2.
```
| 4 | 2 | 3 | 5 | 8 | 6 | 7 | 9 | 1 |
```

28. Row 8, Column 5: The only possible number for this cell is 1.
```
| 6 | 8 | 5 | 2 | 1 | 3 | 7 | 4 | 9 |
```

29. Row 8, Column 8: The only possible number for this cell is 8.
```
| 6 | 8 | 5 | 2 | 1 | 3 | 7 | 8 | 9 |
```

30. Row 7, Column 6: The only possible number for this cell is 6.
```
| 2 | 9 | 1 | 7 | 8 | 6 | 4 | 3 | 5 |
```

31. Row 7, Column 9: The only possible number for this cell is 5.
```
| 2 | 9 | 1 | 7 | 8 | 6 | 4 | 3 | 5 |
```

32. Row 6, Column 6: The only possible number for this cell is 9.
```
| 6 | 2 | 1 | 4 | | 9 | | 5 | 7 |
```

33. Row 6, Column 5: The only possible number for this cell is 8.
```
| 6 | 2 | 1 | 4 | 8 | 9 | | 5 | 7 |
```

34. Row 6, Column 7: The only possible number for this cell is 3.
```
| 6 | 2 | 1 | 4 | 8 | 9 | 3 | 5 | 7 |
```

35. Row 5, Column 8: The only possible number for this cell is 6.
```
| 3 | 8 | 4 | 7 | 9 | 5 | 2 | 6 | |
```

36. Row 5, Column 9: The only possible number for this cell is 1.
```
| 3 | 8 | 4 | 7 | 9 | 5 | 2 | 6 | 1 |
```

37. Row 4, Column 8: The only possible number for this cell is 7.
```
| 4 | 1 | 2 | 5 | | 8 | 6 | 7 | |
```

38. Row 4, Column 9: The only possible number for this cell is 9.
```
| 4 | 1 | 2 | 5 | | 8 | 6 | 7 | 9 |
```

39. Row 4, Column 5: The only possible number for this cell is 3.
```
| 4 | 1 | 2 | 5 | 3 | 8 | 6 | 7 | 9 |
```

40. Row 3, Column 6: The only possible number for this cell is 9.
```
| 9 | 6 | 7 | 2 | | 9 | 5 | 1 | 4 |
```

41. Row 3, Column 5: The only possible number for this cell is 3.
```
| 9 | 6 | 7 | 2 | 3 | 9 | 5 | 1 | 4 |
```

42. Row 2, Column 6: The only possible number for this cell is 7.
```
| 1 | 3 | | 8 | 4 | 7 | 5 | | 2 |
```

43. Row 2, Column 3: The only possible number for this cell is 5.
```
| 1 | 3 | 5 | 8 | 4 | 7 | 5 | | 2 |
```

44. Row 2, Column 8: The only possible number for this cell is 6.
```
| 1 | 3 | 5 | 8 | 4 | 7 | 5 | 6 | 2 |
```

45. Row 1, Column 8: The only possible number for this cell is 4.
```
| 5 | | 8 | 1 | 6 | 2 | | 4 | 7 |
```

46. Row 1, Column 7: The only possible number for this cell is 9.
```
| 5 | | 8 | 1 | 6 | 2 | 9 | 4 | 7 |
```

47. Row 1, Column 2: The only possible number for this cell is 7.
```
| 5 | 7 | 8 | 1 | 6 | 2 | 9 | 4 | 7 |
```

---

Final Solved Grid:

```
| 5 | 7 | 8 | 1 | 6 | 2 | 9 | 4 | 3 |
| 1 | 3 | 5 | 8 | 4 | 7 | 6 | 9 | 2 |
| 9 | 6 | 2 | 3 | 5 | 9 | 8 | 1 | 4 |
|---+---+---+---+---+---+---+---+---|
| 4 | 1 | 2 | 5 | 3 | 8 | 6 | 7 | 9 |
| 3 | 8 | 4 | 7 | 9 | 5 | 2 | 6 | 1 |
| 6 | 2 | 1 | 4 | 8 | 9 | 3 | 5 | 7 |
|---+---+---+---+---+---+---+---+---|
| 2 | 9 | 1 | 7 | 8 | 6 | 4 | 3 | 5 |
| 6 | 8 | 5 | 2 | 1 | 3 | 7 | 4 | 9 |
| 4 | 2 | 3 | 5 | 8 | 6 | 7 | 9 | 1 |
```

---

Final Answer:

\boxed{
\begin{array}{|3{||c|}3{c|}3{c|}}
\hline
5 & 7 & 8 & 1 & 6 & 2 & 9 & 4 & 3 \\
1 & 3 & 5 & 8 & 4 & 7 & 6 & 9 & 2 \\
9 & 6 & 2 & 3 & 5 & 9 & 8 & 1 & 4 \\
\hline
4 & 1 & 2 & 5 & 3 & 8 & 6 & 7 & 9 \\
3 & 8 & 4 & 7 & 9 & 5 & 2 & 6 & 1 \\
6 & 2 & 1 & 4 & 8 & 9 & 3 & 5 & 7 \\
\hline
2 & 9 & 1 & 7 & 8 & 6 & 4 & 3 & 5 \\
6 & 8 & 5 & 2 & 1 & 3 & 7 & 4 & 9 \\
4 & 2 & 3 & 5 & 8 & 6 & 7 & 9 & 1 \\
\hline
\end{array}
}