

'''simple docstring'''





def 							_lowerCAmelCase (      __magic_name__	:    str      ,   __magic_name__	:    list[str]	)							->     str:
						lowercase   :       List[str]								=''''''
						for word_or_phrase in separated:
												if not isinstance(__magic_name__      ,   __magic_name__	):
																		raise Exception('''join() accepts only strings to be joined'''	)
												joined += word_or_phrase + separator
						return joined.strip(__magic_name__	)


if __name__ == "__main__":
							from doctest import testmod

							testmod()








'''simple docstring'''





from __future__ import annotations






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






def 							_lowerCAmelCase (      __magic_name__	:    list[list[int]]      ,   __magic_name__	:    int      ,   __magic_name__	:    int      ,   __magic_name__	:    list[list[int]]	)							->     bool:
						lowercase   :       Optional[int]								=len(__magic_name__	)
						# Final check point.
						if i == j == (size - 1):
												lowercase   :       Optional[int]								=1
												return True

						lowercase   :       Optional[int]								=(not i < 0) and (not j < 0)  # Check lower bounds
						lowercase   :       Tuple								=(i < size) and (j < size)  # Check upper bounds

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

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

																		lowercase   :       str								=0
																		return False
						return False


if __name__ == "__main__":
							import doctest

							doctest.testmod()





