






"""simple docstring"""




from cva import COLOR_BGR2GRAY, cvtColor, imread, imshow, waitKey
from numpy import array, dot, pad, ravel, uinta, zeros

def     lowerCAmelCase__  (  UpperCamelCase__  ,     UpperCamelCase__       ):



  '''simple docstring'''
  _a   ,						_a						: Any    =			image.shape
  _a						: int    =			cols - block_size[1] + 1
  _a						: str    =			rows - block_size[0] + 1
  _a						: Any    =			zeros((dst_height * dst_width, block_size[1] * block_size[0])       )
  _a						: Union[str, Any]    =			0
  for i in range(0  ,     UpperCamelCase__       ):
    for j in range(0  ,     UpperCamelCase__       ):
      _a						: List[str]    =			ravel(image[i : i + block_size[0], j : j + block_size[1]]       )
      _a						: List[str]    =			window
      row += 1

  return image_array

def     lowerCAmelCase__  (  UpperCamelCase__  ,     UpperCamelCase__       ):



  '''simple docstring'''
  _a   ,						_a						: List[Any]    =			image.shape[0], image.shape[1]
  _a						: Optional[int]    =			filter_kernel.shape[0]
  _a						: List[Any]    =			k_size // 2
  # Pads image with the edge values of array.
  _a						: int    =			pad(UpperCamelCase__  ,     UpperCamelCase__  ,     mode="""edge"""       )

  # im2col, turn the k_size*k_size pixels into a row and np.vstack all rows
  _a						: int    =			imacol(UpperCamelCase__  ,     (k_size, k_size)       )

  #  turn the kernel into shape(k*k, 1)
  _a						: Dict    =			ravel(UpperCamelCase__       )
  # reshape and get the dst image
  _a						: str    =			dot(UpperCamelCase__  ,     UpperCamelCase__       ).reshape(UpperCamelCase__  ,     UpperCamelCase__       )
  return dst


if __name__ == "__main__":
 # read original image
 _snake_case					   =     imread(r'../image_data/lena.jpg')
 # turn image in gray scale value
 _snake_case					   =     cvtColor(img, COLOR_BGR2GRAY)
 # Laplace operator
 _snake_case					   =     array([[0, 1, 0], [1, -4, 1], [0, 1, 0]])
 _snake_case					   =     img_convolve(gray, Laplace_kernel).astype(uinta)
 imshow('Laplacian', out)
 waitKey(0)









"""simple docstring"""




from __future__ import annotations

import math
from itertools import permutations

def     lowerCAmelCase__  (  UpperCamelCase__       ):



  '''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(UpperCamelCase__       ) + 1       )  ,     6       ):
    if number % i == 0 or number % (i + 2) == 0:
      return False
  return True

def     lowerCAmelCase__  (  UpperCamelCase__ = 7       ):



  '''simple docstring'''
  _a						: Tuple    =			"""""".join(str(UpperCamelCase__       ) for i in range(1  ,     n + 1       )       )
  _a						: str    =			[int("""""".join(UpperCamelCase__       )       ) for i in permutations(UpperCamelCase__  ,     UpperCamelCase__       )]
  _a						: Union[str, Any]    =			[num for num in perm_list if is_prime(UpperCamelCase__       )]
  return max(UpperCamelCase__       ) if pandigitals else 0


if __name__ == "__main__":
 print(F'''{solution() = }''')

