不可预知性是所有事件之源头
——某位哲学家
什么是Prim算法可以吃吗
引入问题
小明家后面的公园准备开张啦！公园建筑方为了美观，准备修建一个纯天然不添加的迷宫。已知迷宫为15*15，四围除出入口外都围了墙（如下图）
| # | E | # | # | # | # | # | # | # | # | # | # | # | # | # |
| # | # | |||||||||||||
| # | # | |||||||||||||
| # | # | |||||||||||||
| # | # | |||||||||||||
| # | # | |||||||||||||
| # | # | |||||||||||||
| # | # | |||||||||||||
| # | # | |||||||||||||
| # | # | |||||||||||||
| # | # | |||||||||||||
| # | # | |||||||||||||
| # | # | |||||||||||||
| # | @ | |||||||||||||
| # | # | # | # | # | # | # | # | # | # | # | # | # | # | # |
迷宫说明：
#是墙
E是入口，@是出口
Q:现在请你生成一个随机的迷宫Start your SHOW
问题求解
先给个链接自己体验一下Prim迷宫算法的美丽
下面是关于Prim算法的解释
Prim迷宫算法的文本解释
English:
1.Start with a grid full of walls.
2.Pick a cell, mark it as part of the maze. Add the walls of the cell to the wall list.
3.While there are walls in the list:
1.Pick a random wall from the list. If only one of the two cells that the wall divides is visited, then:
2.Make the wall a passage and mark the unvisited cell as part of the maze.
3.Add the neighboring walls of the cell to the wall list.
2.Remove the wall from the list.
中文：
1.让迷宫全是墙.
2.选一个单元格作为迷宫的通路，然后把它的邻墙放入列表
3.当列表里还有墙时
1.从列表里随机选一个墙，如果这面墙分隔的两个单元格只有一个单元格被访问过
1.那就从列表里移除这面墙，即把墙打通，让未访问的单元格成为迷宫的通路
2.把这个格子的墙加入列表
2.如果墙两面的单元格都已经被访问过，那就从列表里移除这面墙
————————————————
出自 维基百科
看不懂？可视版解释来一波我打这么多字你确定不给我一个赞和关注吗
Prim迷宫算法的可视版解释（栗子）
我们现在看一个缩水版的迷宫因为我懒
1.让迷宫全是墙（新增墙$）
| # | E | # | # | # | # | # |
| # | $ | $ | # | |||
| # | $ | $ | $ | $ | $ | # |
| # | $ | $ | # | |||
| # | $ | $ | $ | $ | $ | # |
| # | $ | $ | @ | |||
| # | # | # | # | # | # | # |
2.随机选择一个单元格（如下图%），此时放入列表的墙为&（红色为随机选中的单元格和墙，橙色为列表中的墙，荧光色为通路）
| # | E | # | # | # | # | # |
| # | % | & | $ | # | ||
| # | & | $ | $ | $ | $ | # |
| # | $ | $ | # | |||
| # | $ | $ | $ | $ | $ | # |
| # | $ | $ | @ | |||
| # | # | # | # | # | # | # |
3.随机选择一个墙（&），若墙对边单元格未访问，打通
| # | E | # | # | # | # | # |
| # | % | & | $ | # | ||
| # | 通 | $ | $ | $ | $ | # |
| # | $ | $ | # | |||
| # | $ | $ | $ | $ | $ | # |
| # | $ | $ | @ | |||
| # | # | # | # | # | # | # |
4.将打通后连接的单元格从第2步开始重复
| # | E | # | # | # | # | # |
| # | % | & | $ | # | ||
| # | $ | $ | $ | $ | # | |
| # | % | & | $ | # | ||
| # | & | $ | $ | $ | $ | # |
| # | $ | $ | @ | |||
| # | # | # | # | # | # | # |
| # | E | # | # | # | # | # |
| # | % | & | $ | # | ||
| # | $ | & | $ | $ | # | |
| # | % | % | & | # | ||
| # | & | $ | & | $ | $ | # |
| # | $ | $ | @ | |||
| # | # | # | # | # | # | # |
5.此时选中的墙左右都访问过了（下图），将其从列表中移除
| # | E | # | # | # | # | # |
| # | % | & | % | & | # | |
| # | $ | $ | $ | # | ||
| # | % | % | & | # | ||
| # | & | $ | & | $ | $ | # |
| # | $ | $ | @ | |||
| # | # | # | # | # | # | # |
6.重复上述过程
| # | E | # | # | # | # | # |
| # | % | $ | % | & | # | |
| # | $ | $ | $ | # | ||
| # | % | % | & | # | ||
| # | & | $ | & | $ | $ | # |
| # | $ | $ | @ | |||
| # | # | # | # | # | # | # |
| # | E | # | # | # | # | # |
| # | % | $ | % | & | # | |
| # | $ | $ | $ | # | ||
| # | % | % | & | # | ||
| # | $ | & | $ | $ | # | |
| # | % | & | $ | @ | ||
| # | # | # | # | # | # | # |
| # | E | # | # | # | # | # |
| # | % | $ | % | & | # | |
| # | $ | $ | & | # | ||
| # | % | % | % | # | ||
| # | $ | & | $ | & | # | |
| # | % | & | $ | @ | ||
| # | # | # | # | # | # | # |
| # | E | # | # | # | # | # |
| # | % | $ | % | & | # | |
| # | $ | $ | & | # | ||
| # | % | % | % | # | ||
| # | $ | $ | & | # | ||
| # | % | & | % | & | @ | |
| # | # | # | # | # | # | # |
| # | E | # | # | # | # | # |
| # | % | $ | % | & | # | |
| # | $ | $ | & | # | ||
| # | % | % | % | # | ||
| # | $ | $ | & | # | ||
| # | % | & | % | % | @ | |
| # | # | # | # | # | # | # |
| # | E | # | # | # | # | # |
| # | % | $ | % | & | # | |
| # | $ | $ | & | # | ||
| # | % | % | % | # | ||
| # | $ | $ | $ | # | ||
| # | % | & | % | % | @ | |
| # | # | # | # | # | # | # |
| # | E | # | # | # | # | # |
| # | % | $ | % | & | # | |
| # | $ | $ | & | # | ||
| # | % | % | % | # | ||
| # | $ | $ | $ | # | ||
| # | % | $ | % | % | @ | |
| # | # | # | # | # | # | # |
| # | E | # | # | # | # | # |
| # | % | $ | % | % | # | |
| # | $ | $ | & | # | ||
| # | % | % | % | # | ||
| # | $ | $ | $ | # | ||
| # | % | $ | % | % | @ | |
| # | # | # | # | # | # | # |
| # | E | # | # | # | # | # |
| # | % | $ | % | % | # | |
| # | $ | $ | $ | # | ||
| # | % | % | % | # | ||
| # | $ | $ | $ | # | ||
| # | % | $ | % | % | @ | |
| # | # | # | # | # | # | # |
迷宫生成结束，整理一下结果：
| # | E | # | # | # | # | # |
| # | $ | # | ||||
| # | $ | $ | $ | # | ||
| # | # | |||||
| # | $ | $ | $ | # | ||
| # | $ | @ | ||||
| # | # | # | # | # | # | # |
如果有其他不解之处或有可改进之处，欢迎通过邮箱（870585593@qq.com）联系我！
感谢阅读！
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