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滑块游戏

用下图表示8个滑块(0表示空位)

3 0 4
5 2 8
1 6 7

每一步只能将空位相邻的滑块移动到空位上。算法的目标是用尽可能少的步骤将滑块变为如下:

1 2 3
4 5 6
7 8 0

输出:

2 move up
6 move up
7 move left
8 move down
4 move down
2 move right
6 move up
5 move right
1 move up
7 move left
5 move down
4 move left
2 move down
6 move right
3 move right
1 move up
4 move left
2 move left
6 move down
3 move right
2 move up
5 move up
8 move left

遗留问题:

在A*算法中,采用曼哈顿距离估算预计距离,因此不一定是最短的路径。

但确实在向尽可能短的方向找,比普通的BFS要快得多。

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