数独游戏及其解法

数独是一种受欢迎的逻辑游戏,它的目标是在一个9x9的格子中填入数字1到9,使得每一行、每一列和每个3x3的子网格内都包含了所有数字。数独游戏的解法有很多种,本文将介绍一种使用Java语言实现的数独解法。

数独的规则

数独游戏的规则非常简单,玩家需要根据以下规则填写每个格子:

  1. 每个格子只能填入1到9的数字;
  2. 每一行中的数字不能重复;
  3. 每一列中的数字不能重复;
  4. 每个3x3的子网格中的数字不能重复。

下图展示了一个已解答的数独游戏的示例:

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