code: '''simple docstring'''
  
  
  
  
  
  from __future__ import annotations
  
  import random
  import string
  
  
  class _lowercase					:
  
  
  
  
  
  							"""simple docstring"""
  
  
  
  
  							def __init__(    self     ,   UpperCAmelCase = None  ):
  
  
  
  
  
  
  
  														'''simple docstring'''
  
  
  
  
  
  
  														_lowercase				=	passcode or self.__passcode_creator()
  														_lowercase				=	self.__make_key_list()
  														_lowercase				=	self.__make_shift_key()
  
  
  
  							def __str__(    self  ):
  
  
  
  
  
  
  
  														'''simple docstring'''
  
  
  
  
  
  
  														return "".join(self.__passcode  )
  
  
  
  							def     _UpperCAmelCase       (    self     ,   UpperCAmelCase  ):
  
  
  
  
  
  
  
  														'''simple docstring'''
  
  
  
  
  
  
  														for i in range(1     ,   len(UpperCAmelCase  )     ,   2  ):
  																					iterlist[i] *= -1
  														return iterlist
  
  
  
  							def     _UpperCAmelCase       (    self  ):
  
  
  
  
  
  
  
  														'''simple docstring'''
  
  
  
  
  
  
  														_lowercase				=	string.ascii_letters + string.digits
  														_lowercase				=	[random.choice(UpperCAmelCase  ) for _ in range(random.randint(10     ,   20  )  )]
  														return password
  
  
  
  							def     _UpperCAmelCase       (    self  ):
  
  
  
  
  
  
  
  														'''simple docstring'''
  
  
  
  
  
  
  														_lowercase				=	(
  														    string.ascii_letters + string.digits + string.punctuation + """ \t\n"""
  														)
  
  														_lowercase				=	[]
  
  														# creates points known as breakpoints to break the key_list_options at those
  														# points and pivot each substring
  														_lowercase				=	sorted(set(self.__passcode  )  )
  														_lowercase				=	[]
  
  														# algorithm for creating a new shuffled list, keys_l, out of key_list_options
  														for i in key_list_options:
  																					temp_list.extend(UpperCAmelCase  )
  
  																					# checking breakpoints at which to pivot temporary sublist and add it into
  																					# keys_l
  																					if i in breakpoints or i == key_list_options[-1]:
  																												keys_l.extend(temp_list[::-1]  )
  																												temp_list.clear()
  
          # returning a shuffled keys_l to prevent brute force guessing of shift key
  														return keys_l
  
  
  
  							def     _UpperCAmelCase       (    self  ):
  
  
  
  
  
  
  
  														'''simple docstring'''
  
  
  
  
  
  
  														_lowercase				=	sum(self.__neg_pos([ord(UpperCAmelCase  ) for x in self.__passcode]  )  )
  														return num if num > 0 else len(self.__passcode  )
  
  
  
  							def     _UpperCAmelCase       (    self     ,   UpperCAmelCase  ):
  
  
  
  
  
  
  
  														'''simple docstring'''
  
  
  
  
  
  
  														_lowercase				=	""""""
  
  														# decoding shift like Caesar cipher algorithm implementing negative shift or
  														# reverse shift or left shift
  														for i in encoded_message:
  																					_lowercase				=	self.__key_list.index(UpperCAmelCase  )
  																					decoded_message += self.__key_list[
  																					    (position - self.__shift_key) % -len(self.__key_list  )
  																					]
  
  														return decoded_message
  
  
  
  							def     _UpperCAmelCase       (    self     ,   UpperCAmelCase  ):
  
  
  
  
  
  
  
  														'''simple docstring'''
  
  
  
  
  
  
  														_lowercase				=	""""""
  
  														# encoding shift like Caesar cipher algorithm implementing positive shift or
  														# forward shift or right shift
  														for i in plaintext:
  																					_lowercase				=	self.__key_list.index(UpperCAmelCase  )
  																					encoded_message += self.__key_list[
  																					    (position + self.__shift_key) % len(self.__key_list  )
  																					]
  
  														return encoded_message
  
  
  
  
  
  
  def 					__lowerCAmelCase			(  _A = "Hello, this is a modified Caesar cipher"					):
  
  
  
  							"""simple docstring"""
  
  
  							_lowercase				=	ShuffledShiftCipher()
  							return cipa.decrypt(cipa.encrypt(_A					)					)
  
  
  if __name__ == "__main__":
  				import doctest
  
  				doctest.testmod()
  
  
  
style_context: import math
  from timeit import timeit
  
  
  def 					__lowerCAmelCase			(  _A					):
  
  
  
  							"""simple docstring"""
  
  
  							_lowercase				=	0
  							_lowercase				=	abs(_A					)
  							while True:
  														_lowercase				=	n // 10
  														digits += 1
  														if n == 0:
  																					break
  							return digits
  
  
  def 					__lowerCAmelCase			(  _A					):
  
  
  
  							"""simple docstring"""
  
  
  							return 1 if n == 0 else math.floor(math.log(abs(_A					) ,10					) + 1					)
  
  
  def 					__lowerCAmelCase			(  _A					):
  
  
  
  							"""simple docstring"""
  
  
  							return len(str(abs(_A					)					)					)
  
  
  def 					__lowerCAmelCase			(  ):
  
  
  
  							"""simple docstring"""
  
  
  							from collections.abc import Callable
  
  							def benchmark_a_function(_A ,_A					) -> None:
  														_lowercase				=	f'''{func.__name__}({value})'''
  														_lowercase				=	timeit(f'''__main__.{call}''' ,setup="""import __main__"""					)
  														print(f'''{call}: {func(_A					)} -- {timing} seconds'''					)
  
  							for value in (262_144, 1_125_899_906_842_624, 1_267_650_600_228_229_401_496_703_205_376):
  														for func in (num_digits, num_digits_fast, num_digits_faster):
  																					benchmark_a_function(_A ,_A					)
  														print()
  
  
  if __name__ == "__main__":
  				import doctest
  
  				doctest.testmod()
  				benchmark()
  
  
  