code: 
  
  """simple docstring"""
  from __future__ import annotations
  
  
  
  
  def 				a__	(	lowerCAmelCase						)  ->   int | None:
        for r in range(1 ,  lowerCAmelCase						):
              UpperCAmelCase__ :       Any						=						[]
              for x in range(n - 1						):
                    UpperCAmelCase__ :       str						=						pow(lowerCAmelCase ,  lowerCAmelCase ,  lowerCAmelCase						)
                    if val in li:
                          break
                    li.append(lowerCAmelCase						)
              else:
                    return r
        return None
  
  
  if __name__ == "__main__":
      _A						=     int(input("""Enter a prime number q: """))
      _A						=     find_primitive(q)
      if a is None:
          print(f'''Cannot find the primitive for the value: {a!r}''')
      else:
          _A						=     int(input("""Enter private key of A: """))
          _A						=     pow(a, a_private, q)
          _A						=     int(input("""Enter private key of B: """))
          _A						=     pow(a, b_private, q)
  
          _A						=     pow(b_public, a_private, q)
          _A						=     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)
  
  
style_context: 
  
  """simple docstring"""
  import requests
  
  try:
      from django.contrib.auth import authenticate, login
      from django.shortcuts import redirect, render
  except ImportError:
      _A						=     _A						=     _A						=     _A						=     print
  
  
  
  
  def 				a__	(	lowerCAmelCase						)  ->   str:
        # Enter your recaptcha secret key here
        UpperCAmelCase__ :       int						=						"""secretKey"""
        UpperCAmelCase__ :       Any						=						"""https://www.google.com/recaptcha/api/siteverify"""
  
        # when method is not POST, direct user to login page
        if request.method != "POST":
              return render(lowerCAmelCase ,  """login.html"""						)
  
        # from the frontend, get username, password, and client_key
        UpperCAmelCase__ :       List[Any]						=						request.POST.get("""username"""						)
        UpperCAmelCase__ :       Optional[Any]						=						request.POST.get("""password"""						)
        UpperCAmelCase__ :       List[str]						=						request.POST.get("""g-recaptcha-response"""						)
  
        # post recaptcha response to Google's recaptcha api
        UpperCAmelCase__ :       Any						=						requests.post(lowerCAmelCase ,  data={"""secret""": secret_key, """response""": client_key}						)
        # if the recaptcha api verified our keys
        if response.json().get("""success""" ,  lowerCAmelCase						):
              # authenticate the user
              UpperCAmelCase__ :       List[str]						=						authenticate(lowerCAmelCase ,  username=lowerCAmelCase ,  password=lowerCAmelCase						)
              if user_in_database:
                    login(lowerCAmelCase ,  lowerCAmelCase						)
                    return redirect("""/your-webpage"""						)
        return render(lowerCAmelCase ,  """login.html"""						)
  
  