迷宫问题的A*算法(python实现)
时间: 2023-12-04 19:03:53 浏览: 28
很高兴回答你的问题!迷宫问题的A*算法是一种启发式搜索算法,可以帮助我们寻找两点间最短路径。以下是Python实现代码:
```python
import heapq
def heuristic(a, b):
return abs(a[0] - b[0]) + abs(a[1] - b[1])
def astar(array, start, goal):
neighbors = [(0,1),(0,-1),(1,0),(-1,0),(1,1),(1,-1),(-1,1),(-1,-1)]
close_set = set()
came_from = {}
gscore = {start:0}
fscore = {start:heuristic(start, goal)}
oheap = []
heapq.heappush(oheap, (fscore[start], start))
while oheap:
current = heapq.heappop(oheap)[1]
if current == goal:
data = []
while current in came_from:
data.append(current)
current = came_from[current]
return data[::-1]
close_set.add(current)
for i, j in neighbors:
neighbor = current[0] + i, current[1] + j
tentative_g_score = gscore[current] + heuristic(current, neighbor)
if 0 <= neighbor[0] < array.shape[0]:
if 0 <= neighbor[1] < array.shape[1]:
if array[neighbor[0]][neighbor[1]] == 1:
continue
else:
continue
else:
continue
if neighbor in close_set and tentative_g_score >= gscore.get(neighbor, 0):
continue
if tentative_g_score < gscore.get(neighbor, 0) or neighbor not in [i[1]for i in oheap]:
came_from[neighbor] = current
gscore[neighbor] = tentative_g_score
fscore[neighbor] = tentative_g_score + heuristic(neighbor, goal)
heapq.heappush(oheap, (fscore[neighbor], neighbor))
return False
if __name__ == '__main__':
n = int(input("请输入迷宫的大小:"))
maze = []
for i in range(n):
maze.append([int(x) for x in input().split()])
start = tuple(map(int, input("请输入起点坐标(从0开始):").split()))
goal = tuple(map(int, input("请输入终点坐标(从0开始):").split()))
path = astar(np.array(maze), start, goal)
print("最短路径为:", path)
```
请注意,这只是一个基础的A*算法实现。如果你需要更高效或更专业的算法实现,请参考其他资料或专业书籍。希望这个示例代码能够帮助你!