To solve the Sudoku puzzle, we need to fill in the empty cells 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:
```
6 _ _ | 6 5 1 | _ _ 1
1 7 _ | _ _ _ | 6 _ 2
_ 2 _ | 3 5 _ | _ 9 4
------+-------+------
_ _ 3 | _ _ _ | 2 _ _
4 8 _ | 9 7 _ | 3 _ 6
_ _ _ | _ _ _ | _ 4 _
------+-------+------
9 6 _ | 7 9 4 | _ _ 8
_ _ 5 | _ _ _ | _ 7 _
_ _ _ | _ _ _ | _ _ 7
```
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 `6 _ _ | 6 5 1 | _ _ 1`.
- The missing numbers are 2, 3, 4, 7, 8, and 9.
- The last cell in the row is already 1, so we need to place the other numbers.
- By checking the columns and the 3x3 subgrid, we can deduce the values.
#### Row 2:
- The second row is `1 7 _ | _ _ _ | 6 _ 2`.
- The missing numbers are 3, 4, 5, 8, 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 puzzle step by step, the completed Sudoku grid is:
```
6 3 8 | 6 5 1 | 7 4 9
1 7 9 | 4 8 3 | 6 5 2
5 2 4 | 3 5 7 | 8 9 1
------+-------+------
7 1 3 | 8 6 9 | 2 8 5
4 8 2 | 9 7 5 | 3 1 6
9 5 6 | 2 4 8 | 1 7 3
------+-------+------
9 6 1 | 7 9 4 | 5 2 8
8 4 5 | 1 2 6 | 9 7 3
2 9 7 | 5 3 8 | 4 6 1
```
Final Answer:
\[
\boxed{
\begin{array}{|3{||c|}3{||c|}3{||c|}}
\hline
6 & 3 & 8 & 6 & 5 & 1 & 7 & 4 & 9 \\
\hline
1 & 7 & 9 & 4 & 8 & 3 & 6 & 5 & 2 \\
\hline
5 & 2 & 4 & 3 & 5 & 7 & 8 & 9 & 1 \\
\hline
\hline
7 & 1 & 3 & 8 & 6 & 9 & 2 & 8 & 5 \\
\hline
4 & 8 & 2 & 9 & 7 & 5 & 3 & 1 & 6 \\
\hline
9 & 5 & 6 & 2 & 4 & 8 & 1 & 7 & 3 \\
\hline
\hline
9 & 6 & 1 & 7 & 9 & 4 & 5 & 2 & 8 \\
\hline
8 & 4 & 5 & 1 & 2 & 6 & 9 & 7 & 3 \\
\hline
2 & 9 & 7 & 5 & 3 & 8 & 4 & 6 & 1 \\
\hline
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of easy printable free sudoku.
