前几天逛博客时看到了这样一道问题,感觉比较有趣,就自己思考了下方案顺便用python实现了一下。题目如下:
用一个二维数组表示一个简单的迷宫,用0表示通路,用1表示阻断,老鼠在每个点上可以移动相邻的东南西北四个点,设计一个算法,模拟老鼠走迷宫,找到从入口到出口的一条路径。
如图所示:
先说下我的思路吧:
1、首先用一个列表source存储迷宫图,一个列表route_stack存储路线图,一个列表route_history存储走过的点,起点(0,0),终点(4,4)。
2、老鼠在每个点都有上下左右四种方案可选,需要定义这些方案的执行方法。
3、最后做一个循环,如果当前点不是(4,4)的话就依次执行上下左右四种方法,但是有些限制,比如尝试走过的点不会再尝试走,(0,x)点无法再执行向上的方法等等。
贴一下代码:
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# _*_ coding:utf-8 _*_ route_stack = [[ 0 , 0 ]] route_history = [[ 0 , 0 ]] source = [[ 0 , 0 , 1 , 0 , 1 ],[ 1 , 0 , 0 , 0 , 1 ],[ 0 , 0 , 1 , 1 , 0 ],[ 0 , 1 , 0 , 0 , 0 ],[ 0 , 0 , 0 , 1 , 0 ]] def up(location): #横坐标为0,无法再向上走 if location[ 1 ] = = 0 : return False else : new_location = [location[ 0 ],location[ 1 ] - 1 ] #已经尝试过的点不会尝试第二次 if new_location in route_history: return False #碰到墙不走 elif source[new_location[ 0 ]][new_location[ 1 ]] = = 1 : return False else : route_stack.append(new_location) route_history.append(new_location) return True def down(location): if location[ 1 ] = = 4 : return False else : new_location = [location[ 0 ],location[ 1 ] + 1 ] if new_location in route_history: return False elif source[new_location[ 0 ]][new_location[ 1 ]] = = 1 : return False else : route_stack.append(new_location) route_history.append(new_location) return True def left(location): if location[ 0 ] = = 0 : return False else : new_location = [location[ 0 ] - 1 ,location[ 1 ]] if new_location in route_history: return False elif source[new_location[ 0 ]][new_location[ 1 ]] = = 1 : return False else : route_stack.append(new_location) route_history.append(new_location) return True def right(location): if location[ 0 ] = = 4 : return False else : new_location = [location[ 0 ] + 1 ,location[ 1 ]] if new_location in route_history: return False elif source[new_location[ 0 ]][new_location[ 1 ]] = = 1 : return False else : route_stack.append(new_location) route_history.append(new_location) return True lo = [ 0 , 0 ] while route_stack[ - 1 ] ! = [ 4 , 4 ]: if up(lo): lo = route_stack[ - 1 ] continue if down(lo): lo = route_stack[ - 1 ] continue if left(lo): lo = route_stack[ - 1 ] continue if right(lo): lo = route_stack[ - 1 ] continue route_stack.pop() lo = route_stack[ - 1 ] print route_stack |
执行结果如下:
题目出处有另一种解题思路,但是我觉得有点烦,自己的这个比较好理解点,实现起来也比较方便。
以上就是本文的全部内容,希望对大家的学习有所帮助,也希望大家多多支持服务器之家。
原文链接:http://blog.csdn.net/sinly100/article/details/72832805