




from __future__ import annotations

import random
import string






class       A      :
     """simple docstring"""

     def __init__(     self	: Optional[Any]						,	A__	: Dict = None      )					->							str:
           lowerCamelCase__   	=					passcode or self.__passcode_creator()
           lowerCamelCase__   	=					self.__make_key_list()
           lowerCamelCase__   	=					self.__make_shift_key()




     def __str__(     self	: Optional[Any]      )					->							Dict:
           return "".join(self.__passcode      )




     def 			__snake_case (     self	: int						,	A__	: Union[str, Any]      )					->							Tuple:
           for i in range(1						,	len(UpperCAmelCase_      )						,	2      ):
                 iterlist[i] *= -1
           return iterlist




     def 			__snake_case (     self	: List[Any]      )					->							str:
           lowerCamelCase__   	=					string.ascii_letters + string.digits
           lowerCamelCase__   	=					[random.choice(UpperCAmelCase_      ) for _ in range(random.randint(1_0						,	2_0      )      )]
           return password




     def 			__snake_case (     self	: Dict      )					->							Optional[Any]:
           lowerCamelCase__   	=					(
               string.ascii_letters + string.digits + string.punctuation + """ \t\n"""
           )

           lowerCamelCase__   	=					[]

           # creates points known as breakpoints to break the key_list_options at those
           # points and pivot each substring
           lowerCamelCase__   	=					sorted(set(self.__passcode      )      )
           lowerCamelCase__   	=					[]

           # 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 			__snake_case (     self	: Dict      )					->							Tuple:
           lowerCamelCase__   	=					sum(self.__neg_pos([ord(UpperCAmelCase_      ) for x in self.__passcode]      )      )
           return num if num > 0 else len(self.__passcode      )




     def 			__snake_case (     self	: Any						,	A__	: Any      )					->							Any:
           lowerCamelCase__   	=					""""""

           # decoding shift like Caesar cipher algorithm implementing negative shift or
           # reverse shift or left shift
           for i in encoded_message:
                 lowerCamelCase__   	=					self.__key_list.index(UpperCAmelCase_      )
                 decoded_message += self.__key_list[
                     (position - self.__shift_key) % -len(self.__key_list      )
                 ]

           return decoded_message




     def 			__snake_case (     self	: Dict						,	A__	: str      )					->							List[Any]:
           lowerCamelCase__   	=					""""""

           # encoding shift like Caesar cipher algorithm implementing positive shift or
           # forward shift or right shift
           for i in plaintext:
                 lowerCamelCase__   	=					self.__key_list.index(UpperCAmelCase_      )
                 encoded_message += self.__key_list[
                     (position + self.__shift_key) % len(self.__key_list      )
                 ]

           return encoded_message

def       lowerCAmelCase_      (	lowerCamelCase:							Optional[Any] = "Hello, this is a modified Caesar cipher"    )       ->      Union[str, Any]:


      '''simple docstring'''




      lowerCamelCase__   	=					ShuffledShiftCipher()
      return cipa.decrypt(cipa.encrypt(__UpperCAmelCase    )    )


if __name__ == "__main__":
      import doctest

      doctest.testmod()




"""simple docstring"""







import math
from collections.abc import Generator


def  __SCREAMING_SNAKE_CASE (  __UpperCAmelCase      ):
		_lowercase				: Generator     =   (i for i in range(1   ,				(max_n + 1)      ))
		for i in (n for n in numbers if n > 1):
				for j in range(2   ,				__UpperCAmelCase      ):
						if (i % j) == 0:
								break
				else:
						yield i


def  __SCREAMING_SNAKE_CASE (  __UpperCAmelCase      ):
		_lowercase				: Generator     =   (i for i in range(1   ,				(max_n + 1)      ))
		for i in (n for n in numbers if n > 1):
				# only need to check for factors up to sqrt(i)
				_lowercase				: Union[str, Any]     =   int(math.sqrt(__UpperCAmelCase      )      ) + 1
				for j in range(2   ,				__UpperCAmelCase      ):
						if (i % j) == 0:
								break
				else:
						yield i


def  __SCREAMING_SNAKE_CASE (  __UpperCAmelCase      ):
		_lowercase				: Generator     =   (i for i in range(1   ,				(max_n + 1)   ,				2      ))
		# It's useless to test even numbers as they will not be prime
		if max_n > 2:
				yield 2  # Because 2 will not be tested, it's necessary to yield it now
		for i in (n for n in numbers if n > 1):
				_lowercase				: str     =   int(math.sqrt(__UpperCAmelCase      )      ) + 1
				for j in range(3   ,				__UpperCAmelCase   ,				2      ):
						# As we removed the even numbers, we don't need them now
						if (i % j) == 0:
								break
				else:
						yield i


def  __SCREAMING_SNAKE_CASE (  ):
		from timeit import timeit

		_lowercase				: Tuple     =   """from __main__ import slow_primes, primes, fast_primes"""
		print(timeit("""slow_primes(1_000_000_000_000)"""   ,				setup=__UpperCAmelCase   ,				number=1000000      )      )
		print(timeit("""primes(1_000_000_000_000)"""   ,				setup=__UpperCAmelCase   ,				number=1000000      )      )
		print(timeit("""fast_primes(1_000_000_000_000)"""   ,				setup=__UpperCAmelCase   ,				number=1000000      )      )


if __name__ == "__main__":
		UpperCAmelCase:  int			     =				int(input("""Calculate primes up to:\n>> """).strip())
		for ret in primes(number):
				print(ret)
		benchmark()



