


from __future__ import annotations



def       lowerCAmelCase			(		lowerCAmelCase_			, lowerCAmelCase_			, lowerCAmelCase_			, )->			list[float | int]:
				if not all((nth_term, start_term_a, common_ratio_r)			):
								return []
				lowerCAmelCase_			:   Tuple     					=					[]
				lowerCAmelCase_			:   Optional[int]     					=					1
				lowerCAmelCase_			:   Optional[int]     					=					common_ratio_r
				for _ in range(int(a__			)			):
								if not series:
												series.append(a__			)
								else:
												power += 1
												series.append(float(start_term_a * multiple			)			)
												lowerCAmelCase_			:   int     					=					pow(float(a__			)			, a__			)
				return series


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						_UpperCAmelCase      :	Tuple  =float(input("""Enter the last number (n term) of the Geometric Series"""))
						_UpperCAmelCase      :	List[Any]  =float(input("""Enter the starting term (a) of the Geometric Series"""))
						_UpperCAmelCase      :	List[str]  =float(
						    input("""Enter the common ratio between two terms (r) of the Geometric Series""")
						)
						print("""Formula of Geometric Series => a + ar + ar^2 ... +ar^n""")
						print(geometric_series(nth_term, start_term_a, common_ratio_r))

_A							=       [chr(i) for i in range(32, 126)]
_A							=       list(range(len(alphabets)))
_A							=       list(range(len(alphabets)))
_A							=       list(range(len(alphabets)))
_A							=       list(reversed(range(len(alphabets))))
_A							=       []
_A							=       _A							=       _A							=       0




def 					lowerCamelCase__					(    )		->						List[str]:
       global gear_one_pos
       global gear_two_pos
       global gear_three_pos
       UpperCamelCase_											=							gear_one[0]
       gear_one.append(a__  )
       del gear_one[0]
       gear_one_pos += 1
       if gear_one_pos % int(len(a__  )  ) == 0:
              UpperCamelCase_											=							gear_two[0]
              gear_two.append(a__  )
              del gear_two[0]
              gear_two_pos += 1
              if gear_two_pos % int(len(a__  )  ) == 0:
                     UpperCamelCase_											=							gear_three[0]
                     gear_three.append(a__  )
                     del gear_three[0]
                     gear_three_pos += 1




def 					lowerCamelCase__					(    a__	:	Optional[int]  )		->						Any:
       UpperCamelCase_											=							alphabets.index(a__  )
       UpperCamelCase_											=							gear_one[target]
       UpperCamelCase_											=							gear_two[target]
       UpperCamelCase_											=							gear_three[target]
       UpperCamelCase_											=							reflector[target]
       UpperCamelCase_											=							gear_three.index(a__  )
       UpperCamelCase_											=							gear_two.index(a__  )
       UpperCamelCase_											=							gear_one.index(a__  )
       code.append(alphabets[target]  )
       rotator()


if __name__ == "__main__":
      _A							=       list(input('''Type your message:\n'''))
      while True:
            try:
                  _A							=       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!'''
      )



