




def       SCREAMING_SNAKE_CASE							(     __UpperCamelCase)    ->  str:
     if not isinstance(__UpperCamelCase	,      __UpperCamelCase):
          a											=   (
              "operation can not be conducted on a object of type "
              f'''{type(__UpperCamelCase).__name__}'''
          )
          raise TypeError(__UpperCamelCase)
     a											=   ""
     for _ in range(0	,      32):
          bit_string += str(number % 2)
          a											=   number >> 1
     return bit_string

def       SCREAMING_SNAKE_CASE							(     __UpperCamelCase)    ->  str:
     if number < 0:
          raise ValueError("the value of input must be positive")
     elif isinstance(__UpperCamelCase	,      __UpperCamelCase):
          raise TypeError("Input value must be a 'int' type")
     elif isinstance(__UpperCamelCase	,      __UpperCamelCase):
          raise TypeError("'<' not supported between instances of 'str' and 'int'")
     a											=   0
     # iterator over [1 to 32],since we are dealing with 32 bit integer
     for _ in range(1	,      33):
          # left shift the bits by unity
          a											=   result << 1
          # get the end bit
          a											=   number % 2
          # right shift the bits by unity
          a											=   number >> 1
          # add that bit to our ans
          a											=   result | end_bit
     return get_reverse_bit_string(__UpperCamelCase)


if __name__ == "__main__":
   import doctest

   doctest.testmod()







from __future__ import annotations

def       SCREAMING_SNAKE_CASE							(     __UpperCamelCase)    ->  int | None:
     for r in range(1	,      __UpperCamelCase):
          a											=   []
          for x in range(n - 1):
               a											=   pow(__UpperCamelCase	,      __UpperCamelCase	,      __UpperCamelCase)
               if val in li:
                    break
               li.append(__UpperCamelCase)
          else:
               return r
     return None


if __name__ == "__main__":
   lowercase__   :    Tuple 					=      int(input("Enter a prime number q: "))
   lowercase__   :    List[Any] 					=      find_primitive(q)
   if a is None:
      print(F'Cannot find the primitive for the value: {a!r}')
   else:
      lowercase__   :    Any 					=      int(input("Enter private key of A: "))
      lowercase__   :    Optional[int] 					=      pow(a, a_private, q)
      lowercase__   :    Optional[Any] 					=      int(input("Enter private key of B: "))
      lowercase__   :    Any 					=      pow(a, b_private, q)

      lowercase__   :    Optional[Any] 					=      pow(b_public, a_private, q)
      lowercase__   :    List[str] 					=      pow(a_public, b_private, q)

      print("The key value generated by A is: ", a_secret)
      print("The key value generated by B is: ", b_secret)

