def SCREAMING_SNAKE_CASE			(       lowercase_:		int			):
       _UpperCamelCase       :    Any					  =					[True for i in range(n + 1			)]
       _UpperCamelCase       :    Tuple					  =					[i - 1 for i in range(n + 1			)]
       _UpperCamelCase       :    List[Any]					  =					[]
       for i in range(2						,  n + 1			):
              if is_prime[i]:
                     primes.append(lowercase_			)
              for j in range(0						,  len(lowercase_			)			):
                     if i * primes[j] >= n:
                            break
                     _UpperCamelCase       :    List[Any]					  =					False

                     if i % primes[j] == 0:
                            _UpperCamelCase       :    Union[str, Any]					  =					totients[i] * primes[j]
                            break

                     _UpperCamelCase       :    Tuple					  =					totients[i] * (primes[j] - 1)

       return totients


if __name__ == "__main__":
 import doctest

 doctest.testmod()




def SCREAMING_SNAKE_CASE			(       lowercase_:		list[int]			):

       # validate:
       if not isinstance(lowercase_						,  lowercase_			) or not all(
           isinstance(lowercase_						,  lowercase_			) and item >= 0 for item in citations			):
              raise ValueError('The citations should be a list of non negative integers.'			)

       citations.sort()
       _UpperCamelCase       :    List[str]					  =					len(lowercase_			)

       for i in range(lowercase_			):
              if citations[len_citations - 1 - i] <= i:
                     return i

       return len_citations


if __name__ == "__main__":
 import doctest

 doctest.testmod()



