


from __future__ import annotations

from collections import Counter

def  lowercase_						(						_A     :       List[str]		):

      """simple docstring"""




      lowerCamelCase__						:							Dict       =    [True] * n
      lowerCamelCase__						:							List[str]       =    False
      lowerCamelCase__						:							Dict       =    False
      lowerCamelCase__						:							Tuple       =    True

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

      lowerCamelCase__						:							Any       =    [2]

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

      return primes

def  lowercase_						(						_A     :       Optional[int]		):

      """simple docstring"""




      lowerCamelCase__						:							List[Any]       =    str(SCREAMING_SNAKE_CASE__		)
      lowerCamelCase__						:							Any       =    []
      lowerCamelCase__						:							Union[str, Any]       =    ["""0""", """1""", """2""", """3""", """4""", """5""", """6""", """7""", """8""", """9"""]

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

      return replacements

def  lowercase_						(						_A     :       Union[str, Any] = 8		):

      """simple docstring"""




      lowerCamelCase__						:							List[str]       =    set()

      # Filter primes with less than 3 replaceable digits
      lowerCamelCase__						:							Optional[int]       =    {
          x for x in set(prime_sieve(1000000		)		) if len(str(SCREAMING_SNAKE_CASE__		)		) - len(set(str(SCREAMING_SNAKE_CASE__		)		)		) >= 3
      }

      for prime in primes:
            if prime in numbers_checked:
                  continue

            lowerCamelCase__						:							List[Any]       =    digit_replacements(SCREAMING_SNAKE_CASE__		)

            for family in replacements:
                  numbers_checked.update(SCREAMING_SNAKE_CASE__		)
                  lowerCamelCase__						:							List[Any]       =    primes.intersection(SCREAMING_SNAKE_CASE__		)

                  if len(SCREAMING_SNAKE_CASE__		) != family_length:
                        continue

                  return min(SCREAMING_SNAKE_CASE__		)

      return -1


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







import cva
import numpy as np







def  _UpperCAmelCase  (				SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__  ):


						'''simple docstring'''




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







def  _UpperCAmelCase  (				SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__  ):


						'''simple docstring'''




						lowerCAmelCase	:   Any					     =					image[x_coordinate][y_coordinate]
						lowerCAmelCase	:   int					     =					[1, 2, 4, 8, 1_6, 3_2, 6_4, 1_2_8]

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

						# Starting from the top right, assigning value to pixels clockwise
						lowerCAmelCase	:   Union[str, Any]					     =					[
						    get_neighbors_pixel(SCREAMING_SNAKE_CASE__			,x_coordinate - 1			,y_coordinate + 1			,SCREAMING_SNAKE_CASE__  ),
						    get_neighbors_pixel(SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__			,y_coordinate + 1			,SCREAMING_SNAKE_CASE__  ),
						    get_neighbors_pixel(SCREAMING_SNAKE_CASE__			,x_coordinate - 1			,SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__  ),
						    get_neighbors_pixel(SCREAMING_SNAKE_CASE__			,x_coordinate + 1			,y_coordinate + 1			,SCREAMING_SNAKE_CASE__  ),
						    get_neighbors_pixel(SCREAMING_SNAKE_CASE__			,x_coordinate + 1			,SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__  ),
						    get_neighbors_pixel(SCREAMING_SNAKE_CASE__			,x_coordinate + 1			,y_coordinate - 1			,SCREAMING_SNAKE_CASE__  ),
						    get_neighbors_pixel(SCREAMING_SNAKE_CASE__			,SCREAMING_SNAKE_CASE__			,y_coordinate - 1			,SCREAMING_SNAKE_CASE__  ),
						    get_neighbors_pixel(SCREAMING_SNAKE_CASE__			,x_coordinate - 1			,y_coordinate - 1			,SCREAMING_SNAKE_CASE__  ),
						]

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


if __name__ == "__main__":
		# Reading the image and converting it to grayscale.
		lowerCAmelCase					:				Dict   	=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
		lowerCAmelCase					:				Dict   	=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]):
						lowerCAmelCase					:				Optional[int]   	=local_binary_value(image, i, j)

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

