Leetcode #1391 检查网格中是否存在有效路径

第一次作深度优先算法的题,下次作广度优先算法python

P.S.web

  1. DFS和BFS的定义能够看参考文献
  2. sys.setrecursionlimit的使用说明

代码(参考了网站上的题解):算法

class Solution:
               
    def hasValidPath(self, grid) -> bool:
        # 2
        #3 1
        # 4
        # road[street_num][in]=road_out
        #代码造成过程当中的递归深度会很深,因此须要用sys.setrecursionlimit来扩充递归调用深度
        import sys   
        sys.setrecursionlimit(1000000)
        
        road=[[-1 for i in range(4)] for _ in range(6)]

        road[0][2]=2
        road[0][0]=0

        road[1][1]=1
        road[1][3]=3

        road[2][0]=3
        road[2][1]=2

        road[3][1]=0
        road[3][2]=3

        road[4][0]=1
        road[4][3]=2

        road[5][2]=1
        road[5][3]=0

        way_x=[0, -1, 0, 1]
        way_y=[1, 0, -1, 0]
                    
        leng_x=len(grid)
        leng_y=len(grid[0])       
        
        def dsf(x, y, road_in,  grid) -> bool:

            if (x==leng_x-1 and y==leng_y-1):
                if road[grid[x][y]-1][road_in]>=0:
                    return True 
            elif  (x<0 or y<0 or x>=leng_x or y>=leng_y):
                return False     

            street_num=grid[x][y]-1
            road_out=road[street_num][road_in]
                        
            x=x+way_x[road_out]
            y=y+way_y[road_out]
            
            if road_out == -1:
                return False
            else:
                return dsf(x, y, road_out, grid)
        
        for road_in in [0, 1, 2, 3]:
            if road[grid[0][0]-1][road_in]>=0:
                if dsf(0,0,road_in,grid):
                    return True
        
        return False