




import random
import sys

__snake_case     =		'''ABCDEFGHIJKLMNOPQRSTUVWXYZ'''






def 						_A						(						)			->				int:


     """simple docstring"""


     __UpperCamelCase				=	input('Enter message: '				)
     __UpperCamelCase				=	'LFWOAYUISVKMNXPBDCRJTQEGHZ'
     __UpperCamelCase				=	input('Encrypt/Decrypt [e/d]: '				)

     check_valid_key(SCREAMING_SNAKE_CASE_				)

     if resp.lower().startswith('e'				):
          __UpperCamelCase				=	'encrypt'
          __UpperCamelCase				=	encrypt_message(SCREAMING_SNAKE_CASE_			,       SCREAMING_SNAKE_CASE_				)
     elif resp.lower().startswith('d'				):
          __UpperCamelCase				=	'decrypt'
          __UpperCamelCase				=	decrypt_message(SCREAMING_SNAKE_CASE_			,       SCREAMING_SNAKE_CASE_				)

     print(f'''\n{mode.title()}ion: \n{translated}'''				)






def 						_A						(						_lowercase				)			->				Union[str, Any]:


     """simple docstring"""


     __UpperCamelCase				=	list(SCREAMING_SNAKE_CASE_				)
     __UpperCamelCase				=	list(SCREAMING_SNAKE_CASE_				)
     key_list.sort()
     letters_list.sort()

     if key_list != letters_list:
          sys.exit('Error in the key or symbol set.'				)






def 						_A						(						_lowercase			,       _lowercase				)			->				Optional[Any]:


     """simple docstring"""


     return translate_message(SCREAMING_SNAKE_CASE_			,       SCREAMING_SNAKE_CASE_			,       'encrypt'				)






def 						_A						(						_lowercase			,       _lowercase				)			->				Optional[int]:


     """simple docstring"""


     return translate_message(SCREAMING_SNAKE_CASE_			,       SCREAMING_SNAKE_CASE_			,       'decrypt'				)






def 						_A						(						_lowercase			,       _lowercase			,       _lowercase				)			->				str:


     """simple docstring"""


     __UpperCamelCase				=	''
     __UpperCamelCase				=	LETTERS
     __UpperCamelCase				=	key

     if mode == "decrypt":
          __UpperCamelCase,  __UpperCamelCase				=	chars_b, chars_a

     for symbol in message:
          if symbol.upper() in chars_a:
               __UpperCamelCase				=	chars_a.find(symbol.upper()				)
               if symbol.isupper():
                    translated += chars_b[sym_index].upper()
               else:
                    translated += chars_b[sym_index].lower()
          else:
               translated += symbol

     return translated






def 						_A						(						)			->				Dict:


     """simple docstring"""


     __UpperCamelCase				=	list(SCREAMING_SNAKE_CASE_				)
     random.shuffle(SCREAMING_SNAKE_CASE_				)
     return "".join(SCREAMING_SNAKE_CASE_				)


if __name__ == "__main__":
    main()






import math






def 						_A						(						_lowercase				)			->				list:


     """simple docstring"""


     if n <= 0:
          raise ValueError('Only positive integers have prime factors'				)
     __UpperCamelCase				=	[]
     while n % 2 == 0:
          pf.append(2				)
          __UpperCamelCase				=	int(n / 2				)
     for i in range(3			,       int(math.sqrt(_lowercase				)				) + 1			,       2				):
          while n % i == 0:
               pf.append(_lowercase				)
               __UpperCamelCase				=	int(n / i				)
     if n > 2:
          pf.append(_lowercase				)
     return pf






def 						_A						(						_lowercase				)			->				int:


     """simple docstring"""


     if n <= 0:
          raise ValueError('Only positive numbers are accepted'				)
     __UpperCamelCase				=	1
     __UpperCamelCase				=	1
     while n % 2 == 0:
          temp += 1
          __UpperCamelCase				=	int(n / 2				)
     div *= temp
     for i in range(3			,       int(math.sqrt(_lowercase				)				) + 1			,       2				):
          __UpperCamelCase				=	1
          while n % i == 0:
               temp += 1
               __UpperCamelCase				=	int(n / i				)
          div *= temp
     if n > 1:
          div *= 2
     return div






def 						_A						(						_lowercase				)			->				int:


     """simple docstring"""


     if n <= 0:
          raise ValueError('Only positive numbers are accepted'				)
     __UpperCamelCase				=	1
     __UpperCamelCase				=	1
     while n % 2 == 0:
          temp += 1
          __UpperCamelCase				=	int(n / 2				)
     if temp > 1:
          s *= (2**temp - 1) / (2 - 1)
     for i in range(3			,       int(math.sqrt(_lowercase				)				) + 1			,       2				):
          __UpperCamelCase				=	1
          while n % i == 0:
               temp += 1
               __UpperCamelCase				=	int(n / i				)
          if temp > 1:
               s *= (i**temp - 1) / (i - 1)
     return int(_lowercase				)






def 						_A						(						_lowercase				)			->				int:


     """simple docstring"""


     __UpperCamelCase				=	n
     for x in set(prime_factors(_lowercase				)				):
          s *= (x - 1) / x
     return int(_lowercase				)


if __name__ == "__main__":
    import doctest

    doctest.testmod()


