We are given a partially filled Sudoku grid and asked to solve it. The Sudoku grid is a 9x9 grid, divided into nine 3x3 blocks. The goal is to fill the grid with numbers from 1 to 9 such that each number appears only once in each row, each column, and each 3x3 block.

Discrete MathematicsSudokuCombinatorial ProblemConstraint Satisfaction
2025/4/27

1. Problem Description

We are given a partially filled Sudoku grid and asked to solve it. The Sudoku grid is a 9x9 grid, divided into nine 3x3 blocks. The goal is to fill the grid with numbers from 1 to 9 such that each number appears only once in each row, each column, and each 3x3 block.

2. Solution Steps

I will fill in the grid by deducing the missing numbers based on the Sudoku rules.
Here's the solved Sudoku grid:
3 9 6 2 1 8 4 5 7
1 2 8 4 5 7 6 3 9
4 5 7 3 6 9 2 8 1
9 6 3 5 7 1 8 4 2
8 7 2 1 4 3 5 9 6
5 1 4 9 8 2 7 6 3
7 3 1 8 2 6 9 1 5
2 8 5 7 9 4 3 1 6
6 4 9 3 5 1 2 7 8

3. Final Answer

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

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