

def  _snake_case		(snake_case_					:     list  )							->		bool:
  if not isinstance(snake_case_    ,       snake_case_  ):
    raise ValueError('Input series is not valid, valid series - [1, 2/3, 2]'  )
  if len(snake_case_  ) == 0:
    raise ValueError('Input list must be a non empty list'  )
  if len(snake_case_  ) == 1 and series[0] != 0:
    return True
  __UpperCAmelCase	:  Optional[Any]		=     []
  __UpperCAmelCase	:  Optional[int]		=     len(snake_case_  )
  for i in range(0    ,       snake_case_  ):
    if series[i] == 0:
      raise ValueError('Input series cannot have 0 as an element'  )
    rec_series.append(1 / series[i]  )
  __UpperCAmelCase	:  List[str]		=     rec_series[1] - rec_series[0]
  for index in range(2    ,       snake_case_  ):
    if rec_series[index] - rec_series[index - 1] != common_diff:
      return False
  return True





def  _snake_case		(snake_case_					:     list  )							->		float:
  if not isinstance(snake_case_    ,       snake_case_  ):
    raise ValueError('Input series is not valid, valid series - [2, 4, 6]'  )
  if len(snake_case_  ) == 0:
    raise ValueError('Input list must be a non empty list'  )
  __UpperCAmelCase	:  Optional[int]		=     0
  for val in series:
    answer += 1 / val
  return len(snake_case_  ) / answer


if __name__ == "__main__":
      import doctest

      doctest.testmod()







'''simple docstring'''
A__ :		Optional[Any]					=[chr(i) for i in range(32, 126)]
A__ :		Tuple					=list(range(len(alphabets)))
A__ :		int					=list(range(len(alphabets)))
A__ :		Optional[Any]					=list(range(len(alphabets)))
A__ :		Any					=list(reversed(range(len(alphabets))))
A__ :		Optional[int]					=[]
A__ :		Tuple					=0







def 							A_  (    )					->							Any:





  """simple docstring"""

  global gear_one_pos
  global gear_two_pos
  global gear_three_pos
  __A		:  Any       				=		gear_one[0]
  gear_one.append(__SCREAMING_SNAKE_CASE			)
  del gear_one[0]
  gear_one_pos += 1
  if gear_one_pos % int(len(__SCREAMING_SNAKE_CASE			)			) == 0:
    __A		:  Any       				=		gear_two[0]
    gear_two.append(__SCREAMING_SNAKE_CASE			)
    del gear_two[0]
    gear_two_pos += 1
    if gear_two_pos % int(len(__SCREAMING_SNAKE_CASE			)			) == 0:
      __A		:  str       				=		gear_three[0]
      gear_three.append(__SCREAMING_SNAKE_CASE			)
      del gear_three[0]
      gear_three_pos += 1







def 							A_  (    __SCREAMING_SNAKE_CASE    :	str			)					->							List[str]:





  """simple docstring"""

  __A		:  Union[str, Any]       				=		alphabets.index(__SCREAMING_SNAKE_CASE			)
  __A		:  Dict       				=		gear_one[target]
  __A		:  int       				=		gear_two[target]
  __A		:  List[str]       				=		gear_three[target]
  __A		:  List[Any]       				=		reflector[target]
  __A		:  List[Any]       				=		gear_three.index(__SCREAMING_SNAKE_CASE			)
  __A		:  Tuple       				=		gear_two.index(__SCREAMING_SNAKE_CASE			)
  __A		:  List[str]       				=		gear_one.index(__SCREAMING_SNAKE_CASE			)
  code.append(alphabets[target]			)
  rotator()


if __name__ == "__main__":
     A__ :		int					=list(input('Type your message:\n'))
     while True:
          try:
               A__ :		Any					=int(input('Please set token:(must be only digits)\n'))
               break
          except Exception as error:
               print(error)
     for _ in range(token):
          rotator()
     for j in decode:
          engine(j)
     print('\n' + ''.join(code))
     print(
         F"\nYour Token is {token} please write it down.\nIf you want to decode "
         'this message again you should input same digits as token!'
     )



