





from __future__ import annotations







def  lowerCAmelCase__(		lowercase    :      list[int]			)	->      list[int]:
  if not list_of_ints:
    return []

  if min(lowercase			) < 0:
    raise ValueError("All numbers must be positive"			)

  __snake_case				:			Dict            =    max(len(bin(lowercase			)[2:]			) for x in list_of_ints			)
  return _msd_radix_sort(lowercase				,       lowercase			)







def  lowerCAmelCase__(		lowercase    :      list[int]				,       lowercase    :      int			)	->      list[int]:
  if bit_position == 0 or len(lowercase			) in [0, 1]:
    return list_of_ints

  __snake_case				:			List[str]            =    []
  __snake_case				:			str            =    []
  # Split numbers based on bit at bit_position from the right
  for number in list_of_ints:
    if (number >> (bit_position - 1)) & 1:
      # number has a one at bit bit_position
      ones.append(lowercase			)
    else:
      # number has a zero at bit bit_position
      zeros.append(lowercase			)

    # recursively split both lists further
  __snake_case				:			List[str]            =    _msd_radix_sort(lowercase				,       bit_position - 1			)
  __snake_case				:			int            =    _msd_radix_sort(lowercase				,       bit_position - 1			)

  # recombine lists
  __snake_case				:			Optional[int]            =    zeros
  res.extend(lowercase			)

  return res







def  lowerCAmelCase__(		lowercase    :      list[int]			)	->      str:
  __snake_case				:			List[str]            =    len(lowercase			)
  if not list_of_ints or length == 1:
    return

  if min(lowercase			) < 0:
    raise ValueError("All numbers must be positive"			)

  __snake_case				:			Optional[int]            =    max(len(bin(lowercase			)[2:]			) for x in list_of_ints			)
  _msd_radix_sort_inplace(lowercase				,       lowercase				,       0				,       lowercase			)







def  lowerCAmelCase__(		lowercase    :      list[int]				,       lowercase    :      int				,       lowercase    :      int				,       lowercase    :      int			)	->      str:
  if bit_position == 0 or end_index - begin_index <= 1:
    return

  bit_position -= 1

  __snake_case				:			Optional[Any]            =    begin_index
  __snake_case				:			Tuple            =    end_index - 1
  while i <= j:
    __snake_case				:			List[str]            =    False
    if not (list_of_ints[i] >> bit_position) & 1:
      # found zero at the beginning
      i += 1
      __snake_case				:			Optional[Any]            =    True
    if (list_of_ints[j] >> bit_position) & 1:
      # found one at the end
      j -= 1
      __snake_case				:			str            =    True

    if changed:
      continue

    __snake_case      ,				__snake_case				:			List[str]            =    list_of_ints[j], list_of_ints[i]
    j -= 1
    if j != i:
      i += 1

  _msd_radix_sort_inplace(lowercase				,       lowercase				,       lowercase				,       lowercase			)
  _msd_radix_sort_inplace(lowercase				,       lowercase				,       lowercase				,       lowercase			)


if __name__ == "__main__":
     import doctest

     doctest.testmod()








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







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







def  lowerCAmelCase__(		lowercase    :      Tuple			)	->      Union[str, Any]:
  __snake_case				:			Union[str, Any]            =    alphabets.index(lowercase			)
  __snake_case				:			Tuple            =    gear_one[target]
  __snake_case				:			Union[str, Any]            =    gear_two[target]
  __snake_case				:			int            =    gear_three[target]
  __snake_case				:			Optional[int]            =    reflector[target]
  __snake_case				:			Union[str, Any]            =    gear_three.index(lowercase			)
  __snake_case				:			Optional[Any]            =    gear_two.index(lowercase			)
  __snake_case				:			int            =    gear_one.index(lowercase			)
  code.append(alphabets[target]			)
  rotator()


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

