






from __future__ import annotations

def   __lowercase       (			snake_case			):







				"""simple docstring"""






				__magic_name__		:int   =   len(snake_case			)
				# We need to create solution object to save path.
				__magic_name__		:List[str]   =   [[0 for _ in range(snake_case			)] for _ in range(snake_case			)]
				__magic_name__		:Dict   =   run_maze(snake_case,	0,	0,	snake_case			)
				if solved:
								print('''\n'''.join(str(snake_case			) for row in solutions			)			)
				else:
								print('''No solution exists!'''			)
				return solved

def   __lowercase       (			snake_case,	snake_case,	snake_case,	snake_case			):







				"""simple docstring"""






				__magic_name__		:Tuple   =   len(snake_case			)
				# Final check point.
				if i == j == (size - 1):
								__magic_name__		:Optional[int]   =   1
								return True

				__magic_name__		:Union[str, Any]   =   (not i < 0) and (not j < 0)  # Check lower bounds
				__magic_name__		:Dict   =   (i < size) and (j < size)  # Check upper bounds

				if lower_flag and upper_flag:
								# check for already visited and block points.
								__magic_name__		:int   =   (not solutions[i][j]) and (not maze[i][j])
								if block_flag:
												# check visited
												__magic_name__		:Any   =   1

												# check for directions
												if (
												    run_maze(snake_case,	i + 1,	snake_case,	snake_case			)
												    or run_maze(snake_case,	snake_case,	j + 1,	snake_case			)
												    or run_maze(snake_case,	i - 1,	snake_case,	snake_case			)
												    or run_maze(snake_case,	snake_case,	j - 1,	snake_case			)
												):
																return True

												__magic_name__		:Optional[int]   =   0
												return False
				return False


if __name__ == "__main__":
					import doctest

					doctest.testmod()











from __future__ import annotations



def 		lowerCAmelCase__     (       UpperCamelCase_					:							dict			,							UpperCamelCase_					:							str						)->	set[str]:
    A__			,						A__					=       set(UpperCamelCase_						), [start]

    while stack:
        A__					=       stack.pop()
        explored.add(UpperCamelCase_						)
        # Differences from BFS:
        # 1) pop last element instead of first one
        # 2) add adjacent elements to stack without exploring them
        for adj in reversed(graph[v]						):
            if adj not in explored:
                stack.append(UpperCamelCase_						)
    return explored


_lowercase    	=		{
    "A": ["B", "C", "D"],
    "B": ["A", "D", "E"],
    "C": ["A", "F"],
    "D": ["B", "D"],
    "E": ["B", "F"],
    "F": ["C", "E", "G"],
    "G": ["F"],
}

if __name__ == "__main__":
   import doctest

   doctest.testmod()
   print(depth_first_search(G, "A"))
