



'''simple docstring'''



from __future__ import annotations







def _lowercase   (  __A       ):



 '''simple docstring'''



 __UpperCamelCase				      =  [0] * max_one

 for i in range(0							,UpperCamelCase__       ):
  __UpperCamelCase				      =  i

 for i in range(2							,UpperCamelCase__       ):
  if totients[i] == i:
   for j in range(UpperCamelCase__							,UpperCamelCase__							,UpperCamelCase__       ):
    totients[j] -= totients[j] // i

 return totients







def _lowercase   (  __A							,__A       ):



 '''simple docstring'''



 return sorted(str(UpperCamelCase__       )       ) == sorted(str(UpperCamelCase__       )       )







def _lowercase   (  __A = 10_000_000       ):



 '''simple docstring'''



 __UpperCamelCase				      =  1  # i
 __UpperCamelCase				      =  0  # φ(i)
 __UpperCamelCase				      =  get_totients(max_n + 1       )

 for i in range(2							,max_n + 1       ):
  __UpperCamelCase				      =  totients[i]

  if i * min_denominator < min_numerator * t and has_same_digits(UpperCamelCase__							,UpperCamelCase__       ):
   __UpperCamelCase				      =  i
   __UpperCamelCase				      =  t

 return min_numerator


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










'''simple docstring'''



a__						:			str										=			[chr(i) for i in range(3_2, 1_2_6)]
a__						:			List[Any]										=			list(range(len(alphabets)))
a__						:			Union[str, Any]										=			list(range(len(alphabets)))
a__						:			Dict										=			list(range(len(alphabets)))
a__						:			Union[str, Any]										=			list(reversed(range(len(alphabets))))
a__						:			List[str]										=			[]
a__						:			int										=			0







def _lowercase   (  ):



 '''simple docstring'''



 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 _lowercase   (  __A       ):



 '''simple docstring'''



 __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__						:			Any										=			list(input('Type your message:\n'))
 while True:
  try:
   a__						:			List[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!'
 )





