code: 
  
  """simple docstring"""
  from .hash_table import HashTable
  from .number_theory.prime_numbers import is_prime, next_prime
  
  class 			lowerCamelCase  (					lowerCAmelCase__      ):
  
  
    '''simple docstring'''
  
  
  
  
  
  
  
    def __init__(self       ,					*_lowerCamelCase       ,					**_lowerCamelCase  ):
  
  
          """simple docstring"""
  
          super().__init__(*_lowerCamelCase       ,					**_lowerCamelCase  )
  
  
  
    def    _a			(self       ,					_lowerCamelCase       ,					_lowerCamelCase  ):
  
  
          """simple docstring"""
  
          UpperCAmelCase__ :       Union[str, Any]						=						(
              next_prime(value % self.size_table  )
              if not is_prime(value % self.size_table  )
              else value % self.size_table
          )  # gt = bigger than
          return next_prime_gt - (data % next_prime_gt)
  
  
  
    def    _a			(self       ,					_lowerCamelCase       ,					_lowerCamelCase       ,					_lowerCamelCase  ):
  
  
          """simple docstring"""
  
          return (increment * self.__hash_function_a(_lowerCamelCase       ,					_lowerCamelCase  )) % self.size_table
  
  
  
  
    def    _a			(self       ,					_lowerCamelCase       ,					_lowerCamelCase=None  ):
  
  
          """simple docstring"""
  
          UpperCAmelCase__ :       List[str]						=						1
          UpperCAmelCase__ :       List[str]						=						self.hash_function(_lowerCamelCase  )
  
          while self.values[new_key] is not None and self.values[new_key] != key:
                UpperCAmelCase__ :       Dict						=						(
                    self.__hash_double_function(_lowerCamelCase       ,					_lowerCamelCase       ,					_lowerCamelCase  )
                    if self.balanced_factor() >= self.lim_charge
                    else None
                )
                if new_key is None:
                      break
                else:
                      i += 1
  
          return new_key
  
  
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"""						)
  
  