





'''simple docstring'''




import cva
import numpy as np



def 						__A						(       lowerCamelCase_	,	lowerCamelCase_	,	lowerCamelCase_	,	lowerCamelCase_					):


		"""simple docstring"""



		try:
				return int(image[x_coordinate][y_coordinate] >= center					)
		except (IndexError, TypeError):
				return 0



def 						__A						(       lowerCamelCase_	,	lowerCamelCase_	,	lowerCamelCase_					):


		"""simple docstring"""



		SCREAMING_SNAKE_CASE				:							Optional[Any]						=	image[x_coordinate][y_coordinate]
		SCREAMING_SNAKE_CASE				:							List[Any]						=	[1, 2, 4, 8, 16, 32, 64, 1_28]

		# skip get_neighbors_pixel if center is null
		if center is None:
				return 0

		# Starting from the top right, assigning value to pixels clockwise
		SCREAMING_SNAKE_CASE				:							Tuple						=	[
		    get_neighbors_pixel(lowerCamelCase_	,	x_coordinate - 1	,	y_coordinate + 1	,	lowerCamelCase_					),
		    get_neighbors_pixel(lowerCamelCase_	,	lowerCamelCase_	,	y_coordinate + 1	,	lowerCamelCase_					),
		    get_neighbors_pixel(lowerCamelCase_	,	x_coordinate - 1	,	lowerCamelCase_	,	lowerCamelCase_					),
		    get_neighbors_pixel(lowerCamelCase_	,	x_coordinate + 1	,	y_coordinate + 1	,	lowerCamelCase_					),
		    get_neighbors_pixel(lowerCamelCase_	,	x_coordinate + 1	,	lowerCamelCase_	,	lowerCamelCase_					),
		    get_neighbors_pixel(lowerCamelCase_	,	x_coordinate + 1	,	y_coordinate - 1	,	lowerCamelCase_					),
		    get_neighbors_pixel(lowerCamelCase_	,	lowerCamelCase_	,	y_coordinate - 1	,	lowerCamelCase_					),
		    get_neighbors_pixel(lowerCamelCase_	,	x_coordinate - 1	,	y_coordinate - 1	,	lowerCamelCase_					),
		]

		# Converting the binary value to decimal.
		return sum(
		    binary_value * power for binary_value, power in zip(lowerCamelCase_	,	lowerCamelCase_					)					)


if __name__ == "__main__":
							# Reading the image and converting it to grayscale.
							__UpperCAmelCase         =   cva.imread(
							    """digital_image_processing/image_data/lena.jpg""", cva.IMREAD_GRAYSCALE
							)

							# Create a numpy array as the same height and width of read image
							__UpperCAmelCase         =   np.zeros((image.shape[0], image.shape[1]))

							# Iterating through the image and calculating the
							# local binary pattern value for each pixel.
							for i in range(0, image.shape[0]):
														for j in range(0, image.shape[1]):
																					__UpperCAmelCase         =   local_binary_value(image, i, j)

							cva.imshow("""local binary pattern""", lbp_image)
							cva.waitKey(0)
							cva.destroyAllWindows()










'''simple docstring'''




from __future__ import annotations

from collections import Counter



def 						__A						(       lowerCamelCase_					):


		"""simple docstring"""



		SCREAMING_SNAKE_CASE				:							int						=	[True] * n
		SCREAMING_SNAKE_CASE				:							Optional[Any]						=	False
		SCREAMING_SNAKE_CASE				:							Optional[Any]						=	False
		SCREAMING_SNAKE_CASE				:							Optional[int]						=	True

		for i in range(3	,	int(n**0.5 + 1					)	,	2					):
				SCREAMING_SNAKE_CASE				:							List[Any]						=	i * 2
				while index < n:
						SCREAMING_SNAKE_CASE				:							Union[str, Any]						=	False
						SCREAMING_SNAKE_CASE				:							Optional[Any]						=	index + i

		SCREAMING_SNAKE_CASE				:							Dict						=	[2]

		for i in range(3	,	lowerCamelCase_	,	2					):
				if is_prime[i]:
						primes.append(lowerCamelCase_					)

		return primes



def 						__A						(       lowerCamelCase_					):


		"""simple docstring"""



		SCREAMING_SNAKE_CASE				:							List[str]						=	str(lowerCamelCase_					)
		SCREAMING_SNAKE_CASE				:							List[str]						=	[]
		SCREAMING_SNAKE_CASE				:							Optional[int]						=	["""0""", """1""", """2""", """3""", """4""", """5""", """6""", """7""", """8""", """9"""]

		for duplicate in Counter(lowerCamelCase_					) - Counter(set(lowerCamelCase_					)					):
				SCREAMING_SNAKE_CASE				:							Tuple						=	[int(number_str.replace(lowerCamelCase_	,	lowerCamelCase_					)					) for digit in digits]
				replacements.append(lowerCamelCase_					)

		return replacements



def 						__A						(       lowerCamelCase_ = 8					):


		"""simple docstring"""



		SCREAMING_SNAKE_CASE				:							Tuple						=	set()

		# Filter primes with less than 3 replaceable digits
		SCREAMING_SNAKE_CASE				:							Union[str, Any]						=	{
		    x for x in set(prime_sieve(1_00_00_00					)					) if len(str(lowerCamelCase_					)					) - len(set(str(lowerCamelCase_					)					)					) >= 3
		}

		for prime in primes:
				if prime in numbers_checked:
						continue

				SCREAMING_SNAKE_CASE				:							int						=	digit_replacements(lowerCamelCase_					)

				for family in replacements:
						numbers_checked.update(lowerCamelCase_					)
						SCREAMING_SNAKE_CASE				:							Dict						=	primes.intersection(lowerCamelCase_					)

						if len(lowerCamelCase_					) != family_length:
								continue

						return min(lowerCamelCase_					)

		return -1


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



