






'''simple docstring'''



def  __UpperCAmelCase						(					SCREAMING_SNAKE_CASE__:						str,       SCREAMING_SNAKE_CASE__:						Tuple,       SCREAMING_SNAKE_CASE__:						Union[str, Any]=False     )	->      List[str]:

   """simple docstring"""

   if isinstance(SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__     ) and isinstance(SCREAMING_SNAKE_CASE__,       SCREAMING_SNAKE_CASE__     ):
      __a					  =     len(set_a.intersection(SCREAMING_SNAKE_CASE__     )     )

      if alternative_union:
         __a					  =     len(SCREAMING_SNAKE_CASE__     ) + len(SCREAMING_SNAKE_CASE__     )
      else:
         __a					  =     len(set_a.union(SCREAMING_SNAKE_CASE__     )     )

      return intersection / union

   if isinstance(SCREAMING_SNAKE_CASE__,       (list, tuple)     ) and isinstance(SCREAMING_SNAKE_CASE__,       (list, tuple)     ):
      __a					  =     [element for element in set_a if element in set_b]

      if alternative_union:
         __a					  =     len(SCREAMING_SNAKE_CASE__     ) + len(SCREAMING_SNAKE_CASE__     )
         return len(SCREAMING_SNAKE_CASE__     ) / union
      else:
         __a					  =     set_a + [element for element in set_b if element not in set_a]
         return len(SCREAMING_SNAKE_CASE__     ) / len(SCREAMING_SNAKE_CASE__     )

      return len(SCREAMING_SNAKE_CASE__     ) / len(SCREAMING_SNAKE_CASE__     )
   return None


if __name__ == "__main__":
 __UpperCamelCase   :							int         =   {"""a""", """b""", """c""", """d""", """e"""}
 __UpperCamelCase   :							List[Any]         =   {"""c""", """d""", """e""", """f""", """h""", """i"""}
 print(jaccard_similarity(set_a, set_b))







'''simple docstring'''



from math import isqrt



def  __UpperCAmelCase						(					SCREAMING_SNAKE_CASE__:						int     )	->      bool:

   """simple docstring"""
   return all(number % divisor != 0 for divisor in range(2,       isqrt(SCREAMING_SNAKE_CASE__     ) + 1     )     )



def  __UpperCAmelCase						(					SCREAMING_SNAKE_CASE__:						int = 10**6     )	->      int:

   """simple docstring"""
   __a					  =     0
   __a					  =     1
   __a					  =     7
   while prime_candidate < max_prime:
      primes_count += is_prime(SCREAMING_SNAKE_CASE__     )

      cube_index += 1
      prime_candidate += 6 * cube_index

   return primes_count


if __name__ == "__main__":
 print(f"""{solution() = }""")