"""simple docstring"""





def    lowercase_   (   _lowerCamelCase:	Optional[int]						,   _lowerCamelCase:	Optional[int]						,   _lowerCamelCase:	Optional[Any]=False      ) ->      Union[str, Any]:



       '''simple docstring'''

       if isinstance(lowercase_						,   lowercase_      ) and isinstance(lowercase_						,   lowercase_      ):
              __lowerCamelCase					:		Union[str, Any]		   =     len(set_a.intersection(lowercase_      )      )

              if alternative_union:
                     __lowerCamelCase					:		Union[str, Any]		   =     len(lowercase_      ) + len(lowercase_      )
              else:
                     __lowerCamelCase					:		Optional[int]		   =     len(set_a.union(lowercase_      )      )

              return intersection / union

       if isinstance(lowercase_						,   (list, tuple)      ) and isinstance(lowercase_						,   (list, tuple)      ):
              __lowerCamelCase					:		Any		   =     [element for element in set_a if element in set_b]

              if alternative_union:
                     __lowerCamelCase					:		Union[str, Any]		   =     len(lowercase_      ) + len(lowercase_      )
                     return len(lowercase_      ) / union
              else:
                     __lowerCamelCase					:		Optional[int]		   =     set_a + [element for element in set_b if element not in set_a]
                     return len(lowercase_      ) / len(lowercase_      )

              return len(lowercase_      ) / len(lowercase_      )
       return None


if __name__ == "__main__":
    __A  =				{'a', 'b', 'c', 'd', 'e'}
    __A  =				{'c', 'd', 'e', 'f', 'h', 'i'}
    print(jaccard_similarity(set_a, set_b))
"""simple docstring"""





from __future__ import annotations


def    lowercase_   (   _lowerCamelCase:	list[list[int]]      ) ->      bool:



							'''simple docstring'''

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


def    lowercase_   (   _lowerCamelCase:	list[list[int]]						,   _lowerCamelCase:	int						,   _lowerCamelCase:	int						,   _lowerCamelCase:	list[list[int]]      ) ->      bool:



							'''simple docstring'''

							__lowerCamelCase					:		Dict		   =     len(_lowerCamelCase      )
							# Final check point.
							if i == j == (size - 1):
														__lowerCamelCase					:		Optional[Any]		   =     1
														return True

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

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

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

																					__lowerCamelCase					:		List[str]		   =     0
																					return False
							return False


if __name__ == "__main__":
				import doctest

				doctest.testmod()