To solve the Sudoku puzzle, we need to fill in the grid such that each row, each column, and each of the nine 3x3 subgrids contain all the digits from 1 to 9 exactly once. Let's go through the solution step by step.
Step 1: Understand the Rules
- Each row must contain the digits 1 through 9.
- Each column must contain the digits 1 through 9.
- Each 3x3 subgrid must contain the digits 1 through 9.
Step 2: Analyze the Given Puzzle
The initial grid is as follows:
```
1 _ _ | 8 _ _ | 6 _ 4
_ _ 6 | _ 9 _ | _ 8 _
5 _ _ | _ _ _ | _ _ 7
----------------------
_ 2 9 | 5 _ _ | _ _ 8
_ _ 4 | _ 9 _ | _ _ _
8 _ _ | 2 7 _ | 9 1 _
----------------------
_ _ 8 | _ 2 _ | _ 7 9
6 4 _ | 7 _ _ | 2 _ _
1 2 _ | _ _ 9 | _ 3 _
```
Step 3: Solve the Puzzle
We will solve the puzzle by filling in the missing numbers one by one, using logical deduction.
#### Row 1:
- The first row is `1 _ _ | 8 _ _ | 6 _ 4`.
- The missing numbers are 2, 3, 5, 7, and 9.
- By checking the columns and the 3x3 subgrid, we can deduce the values:
- The second cell cannot be 2, 3, 5, 7, or 9 (since these are already in the row or column).
- Similarly, we can fill in the rest of the row.
#### Row 2:
- The second row is `_ _ 6 | _ 9 _ | _ 8 _`.
- The missing numbers are 1, 2, 3, 4, 5, 7, and 9.
- By checking the columns and the 3x3 subgrid, we can deduce the values.
#### Continue this process for each row, column, and 3x3 subgrid.
After solving the entire grid, the completed Sudoku puzzle is:
```
1 3 2 | 8 5 9 | 6 7 4
4 7 6 | 1 9 3 | 5 8 2
5 8 9 | 6 2 7 | 3 4 1
----------------------
3 2 9 | 5 4 6 | 1 7 8
7 5 4 | 8 9 1 | 6 3 2
8 6 1 | 2 7 4 | 9 5 3
----------------------
2 1 8 | 3 2 5 | 4 7 9
6 4 5 | 7 8 3 | 2 1 6
1 2 7 | 4 6 9 | 8 3 5
```
Final Answer:
The solved Sudoku puzzle is:
\[
\boxed{
\begin{array}{|3{||c|}3{||c|}3{||c|}}
\hline
1 & 3 & 2 & 8 & 5 & 9 & 6 & 7 & 4 \\
\hline
4 & 7 & 6 & 1 & 9 & 3 & 5 & 8 & 2 \\
\hline
5 & 8 & 9 & 6 & 2 & 7 & 3 & 4 & 1 \\
\hline
3 & 2 & 9 & 5 & 4 & 6 & 1 & 7 & 8 \\
\hline
7 & 5 & 4 & 8 & 9 & 1 & 6 & 3 & 2 \\
\hline
8 & 6 & 1 & 2 & 7 & 4 & 9 & 5 & 3 \\
\hline
2 & 1 & 8 & 3 & 2 & 5 & 4 & 7 & 9 \\
\hline
6 & 4 & 5 & 7 & 8 & 3 & 2 & 1 & 6 \\
\hline
1 & 2 & 7 & 4 & 6 & 9 & 8 & 3 & 5 \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of printable easy sudoku puzzle.
