code: 
  
  import requests
  
  try:
         from django.contrib.auth import authenticate, login
         from django.shortcuts import redirect, render
  except ImportError:
         lowerCamelCase     =      lowerCamelCase     =      lowerCamelCase     =      lowerCamelCase     =      print
  
  
  
  
  def     UpperCAmelCase__       (    _A   :				List[Any]							):
  
  
  
  
  
    '''simple docstring'''
  
  
  
  
  
  
  
    a__						='secretKey'
    a__						='https://www.google.com/recaptcha/api/siteverify'
  
    # when method is not POST, direct user to login page
    if request.method != "POST":
      return render(lowercase_			,   '''login.html'''							)
  
    # from the frontend, get username, password, and client_key
    a__						=request.POST.get('''username'''							)
    a__						=request.POST.get('''password'''							)
    a__						=request.POST.get('''g-recaptcha-response'''							)
  
    # post recaptcha response to Google's recaptcha api
    a__						=requests.post(lowercase_			,   data={'''secret''': secret_key, '''response''': client_key}							)
    # if the recaptcha api verified our keys
    if response.json().get('''success'''			,   lowercase_							):
      # authenticate the user
      a__						=authenticate(lowercase_			,   username=lowercase_			,   password=lowercase_							)
      if user_in_database:
        login(lowercase_			,   lowercase_							)
        return redirect('''/your-webpage'''							)
    return render(lowercase_			,   '''login.html'''							)
  
style_context: 
  
  import math
  from decimal import Decimal, getcontext
  
  
  
  
  def     UpperCAmelCase__       (    _A   :				int = 4_00_00_00							):
  
  
  
  
  
    '''simple docstring'''
  
  
  
  
  
  
  
    try:
      a__						=int(_A							)
    except (TypeError, ValueError):
      raise TypeError('''Parameter n must be int or castable to int.'''							)
    if n <= 0:
      raise ValueError('''Parameter n must be greater than or equal to one.'''							)
    a__						=1_00
    a__						=(Decimal(5							) ** Decimal(0.5							) + 1) / Decimal(2							)
  
    a__						=(math.floor(math.log(n * (phi + 2)			,   _A							) - 1							) // 3) * 3 + 2
    a__						=Decimal(round(phi ** Decimal(index + 1							)							)							) / (phi + 2)
    a__						=num // 2
    return int(_A							)
  
  
  if __name__ == "__main__":
         print(f"""{solution() = }""")
  