

from __future__ import annotations





def  _snake_case		(snake_case_					:     int  )							->		int | None:
  for r in range(1    ,       snake_case_  ):
    __UpperCAmelCase	:  List[str]		=     []
    for x in range(n - 1  ):
      __UpperCAmelCase	:  Union[str, Any]		=     pow(snake_case_    ,       snake_case_    ,       snake_case_  )
      if val in li:
        break
      li.append(snake_case_  )
    else:
      return r
  return None


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

            _SCREAMING_SNAKE_CASE							 =			pow(b_public, a_private, q)
            _SCREAMING_SNAKE_CASE							 =			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)













from __future__ import annotations

# Define the Gravitational Constant G and the function
UpperCAmelCase_					:		Union[str, Any]           = 6.6_743E-11  # unit of G : m^3 * kg^-1 * s^-2

def   SCREAMING_SNAKE_CASE_				(				__magic_name__   :    float      ,     __magic_name__   :    float      ,     __magic_name__   :    float      ,     __magic_name__   :    float   )						->     dict[str, float]:






	"""simple docstring"""



	UpperCamelCase	:List[str]		=      mass_a * mass_a

	if (force, mass_a, mass_a, distance).count(0   ) != 1:
		raise ValueError("""One and only one argument must be 0"""   )
	if force < 0:
		raise ValueError("""Gravitational force can not be negative"""   )
	if distance < 0:
		raise ValueError("""Distance can not be negative"""   )
	if mass_a < 0 or mass_a < 0:
		raise ValueError("""Mass can not be negative"""   )
	if force == 0:
		UpperCamelCase	:Optional[int]		=      GRAVITATIONAL_CONSTANT * product_of_mass / (distance**2)
		return {"force": force}
	elif mass_a == 0:
		UpperCamelCase	:Any		=      (force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
		return {"mass_1": mass_a}
	elif mass_a == 0:
		UpperCamelCase	:Optional[int]		=      (force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
		return {"mass_2": mass_a}
	elif distance == 0:
		UpperCamelCase	:str		=      (GRAVITATIONAL_CONSTANT * product_of_mass / (force)) ** 0.5
		return {"distance": distance}
	raise ValueError("""One and only one argument must be 0"""   )


# Run doctest
if __name__ == "__main__":
	import doctest

	doctest.testmod()
