






import requests

try:
			from django.contrib.auth import authenticate, login
			from django.shortcuts import redirect, render
except ImportError:
			UpperCAmelCase__			 =	UpperCAmelCase__			 =	UpperCAmelCase__			 =	UpperCAmelCase__			 =	print







def 						a_      (__A			)							->	Dict:



					"""simple docstring"""
					# Enter your recaptcha secret key here
					__a				:	Union[str, Any]			=				"secretKey"
					__a				:	int			=				"https://www.google.com/recaptcha/api/siteverify"

					# when method is not POST, direct user to login page
					if request.method != "POST":
										return render(__A							,					"login.html"			)

					# from the frontend, get username, password, and client_key
					__a				:	List[str]			=				request.POST.get("username"			)
					__a				:	Any			=				request.POST.get("password"			)
					__a				:	Any			=				request.POST.get("g-recaptcha-response"			)

					# post recaptcha response to Google's recaptcha api
					__a				:	int			=				requests.post(__A							,					data={"secret": secret_key, "response": client_key}			)
					# if the recaptcha api verified our keys
					if response.json().get("success"							,					__A			):
										# authenticate the user
										__a				:	List[Any]			=				authenticate(__A							,					username=__A							,					password=__A			)
										if user_in_database:
															login(__A							,					__A			)
															return redirect("/your-webpage"			)
					return render(__A							,					"login.html"			)













import math







def 						a_      (__A			)							->	bool:



					"""simple docstring"""

					if 1 < number < 4:
										# 2 and 3 are primes
										return True
					elif number < 2 or number % 2 == 0 or number % 3 == 0:
										# Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
										return False

					# All primes number are in format of 6k +/- 1
					for i in range(5							,					int(math.sqrt(__A			) + 1			)							,					6			):
										if number % i == 0 or number % (i + 2) == 0:
															return False
					return True







def 						a_      (__A = 1_000							,					__A = 1_000			)							->	int:



					"""simple docstring"""
					__a				:	Optional[int]			=				[0, 0, 0]  # length, a, b
					for a in range((a_limit * -1) + 1							,					__A			):
										for b in range(2							,					__A			):
															if is_prime(__A			):
																				__a				:	Any			=				0
																				__a				:	List[str]			=				0
																				while is_prime((n**2) + (a * n) + b			):
																									count += 1
																									n += 1
																				if count > longest[0]:
																									__a				:	Any			=				[count, a, b]
					__a				:	str			=				longest[1] * longest[2]
					return ans


if __name__ == "__main__":
			print(solution(1000, 1000))





