





import math







def       lowerCAmelCase__(	lowercase       :    int				) ->    float:
  __snake_case   :				Dict        =       math.log(2   ,     10				) * number
  __snake_case   :				Union[str, Any]        =       round((log_number - int(lowercase				))   ,     15				)

  return difference







def       lowerCAmelCase__(	lowercase       :    int = 67_8910				) ->    int:
  __snake_case   :				Any        =       90
  __snake_case   :				Dict        =       0

  __snake_case   :				str        =       math.log(1.2_3   ,     10				)
  __snake_case   :				str        =       math.log(1.2_4   ,     10				)
  __snake_case   :				int        =       0

  while position < number:
    __snake_case   :				int        =       log_difference(lowercase				)

    if difference >= upper_limit:
      power_iterator += 93

    elif difference < lower_limit:
      power_iterator += 196

    else:
      __snake_case   :				Optional[Any]        =       power_iterator
      power_iterator += 196
      position += 1

  return previous_power


if __name__ == "__main__":
     import doctest

     doctest.testmod()

     print(F'''{solution() = }''')








def       lowerCAmelCase__(	lowercase       :    str				) ->    int:
  __snake_case   :				List[str]        =       str(lowercase				).strip()
  if not oct_string:
    raise ValueError("Empty string was passed to the function"				)
  __snake_case   :				int        =       oct_string[0] == "-"
  if is_negative:
    __snake_case   :				Union[str, Any]        =       oct_string[1:]
  if not oct_string.isdigit() or not all(0 <= int(lowercase				) <= 7 for char in oct_string				):
    raise ValueError("Non-octal value was passed to the function"				)
  __snake_case   :				List[Any]        =       0
  for char in oct_string:
    __snake_case   :				Optional[Any]        =       8 * decimal_number + int(lowercase				)
  if is_negative:
    __snake_case   :				Any        =       -decimal_number
  return decimal_number


if __name__ == "__main__":
     from doctest import testmod

     testmod()

