






"""simple docstring"""


from __future__ import annotations

from typing import Any






class 						snake_case  :





    def __init__(							self	:					List[str]				,		A	:					Any				,		A	:					Any			):  # noqa: A002


      '''simple docstring'''




      a     :			Union[str, Any]				=   item
      a     :			Any				=   next






class 						snake_case  :





    def __init__(							self	:					List[Any]			):


      '''simple docstring'''




      a     :			Node | None				=   None
      a     :			Any				=   0





    def 				lowerCamelCase__      (							self	:					Optional[int]				,		A	:					Any			):


      '''simple docstring'''




      a     :			Optional[Any]				=   Node(A				,		self.head			)
      self.size += 1





    def 				lowerCamelCase__      (							self	:					Optional[Any]			):


      '''simple docstring'''




      if self.head is None:
        return None
      else:
        a     :			Optional[int]				=   self.head.item
        a     :			Dict				=   self.head.next
        self.size -= 1
        return item





    def 				lowerCamelCase__      (							self	:					Dict			):


      '''simple docstring'''




      return self.head is None





    def __str__(							self	:					Tuple			):


      '''simple docstring'''




      if self.is_empty():
        return ""
      else:
        a     :			Dict				=   self.head
        a     :			Dict				=   ''
        a     :			list[str]				=   []
        while iterate:
          item_list.append(str(iterate.item			)			)
          a     :			str				=   iterate.next

        a     :			Union[str, Any]				=   ' --> '.join(A			)

        return item_str





    def __len__(							self	:					int			):


      '''simple docstring'''




      return self.size






"""simple docstring"""


def     _lowerCamelCase(__UpperCamelCase       )				-> list:
	_lowerCAmelCase								=[True for i in range(n + 1       )]
	_lowerCAmelCase								=[i - 1 for i in range(n + 1       )]
	_lowerCAmelCase								=[]
	for i in range(2    , n + 1       ):
		if is_prime[i]:
			primes.append(__UpperCamelCase       )
		for j in range(0    , len(__UpperCamelCase       )       ):
			if i * primes[j] >= n:
				break
			_lowerCAmelCase								=False

			if i % primes[j] == 0:
				_lowerCAmelCase								=totients[i] * primes[j]
				break

			_lowerCAmelCase								=totients[i] * (primes[j] - 1)

	return totients


if __name__ == "__main__":
			import doctest

			doctest.testmod()



