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:
- 每个格子只能填入1到9的数字;
- 每一行中的数字不能重复;
- 每一列中的数字不能重复;
- 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 |
+---+---+---+---+---+---