

'''simple docstring'''

from __future__ import annotations

def 				__UpperCamelCase							(	lowercase__						:  int ):






     '''simple docstring'''





     for r in range(1,					lowercase__ ):
          __lowercase					=[]
          for x in range(n - 1 ):
               __lowercase					=pow(lowercase__,					lowercase__,					lowercase__ )
               if val in li:
                    break
               li.append(lowercase__ )
          else:
               return r
     return None


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

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





'''simple docstring'''

from __future__ import annotations

# Define the Gravitational Constant G and the function
UpperCAmelCase				   =  6.6_7_4_3E-1_1  # unit of G : m^3 * kg^-1 * s^-2

def 				__UpperCamelCase							(	lowercase__						:  float,					lowercase__						:  float,					lowercase__						:  float,					lowercase__						:  float ):






     '''simple docstring'''





     __lowercase					=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:
          __lowercase					=GRAVITATIONAL_CONSTANT * product_of_mass / (distance**2)
          return {"force": force}
     elif mass_a == 0:
          __lowercase					=(force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
          return {"mass_1": mass_a}
     elif mass_a == 0:
          __lowercase					=(force) * (distance**2) / (GRAVITATIONAL_CONSTANT * mass_a)
          return {"mass_2": mass_a}
     elif distance == 0:
          __lowercase					=(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()


