






"""simple docstring"""





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



def      __lowercase       (     a			:					Optional[Any]							,		a			:					Tuple			)       ->       Dict:
      __snake_case      ,					__snake_case   :     Any	      =image.shape
      __snake_case   :     Tuple	      =cols - block_size[1] + 1
      __snake_case   :     Union[str, Any]	      =rows - block_size[0] + 1
      __snake_case   :     Tuple	      =zeros((dst_height * dst_width, block_size[1] * block_size[0])			)
      __snake_case   :     Optional[Any]	      =0
      for i in range(0							,		a			):
            for j in range(0							,		a			):
                  __snake_case   :     int	      =ravel(image[i : i + block_size[0], j : j + block_size[1]]			)
                  __snake_case   :     Union[str, Any]	      =window
                  row += 1

      return image_array



def      __lowercase       (     a			:					str							,		a			:					List[str]			)       ->       List[Any]:
      __snake_case      ,					__snake_case   :     Optional[Any]	      =image.shape[0], image.shape[1]
      __snake_case   :     Optional[Any]	      =filter_kernel.shape[0]
      __snake_case   :     Any	      =k_size // 2
      # Pads image with the edge values of array.
      __snake_case   :     int	      =pad(a							,		a							,		mode='''edge'''			)

      # im2col, turn the k_size*k_size pixels into a row and np.vstack all rows
      __snake_case   :     List[str]	      =imacol(a							,		(k_size, k_size)			)

      #  turn the kernel into shape(k*k, 1)
      __snake_case   :     List[Any]	      =ravel(a			)
      # reshape and get the dst image
      __snake_case   :     Optional[Any]	      =dot(a							,		a			).reshape(a							,		a			)
      return dst


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










"""simple docstring"""





from itertools import combinations, product



def      __lowercase       (     a			:					int							,		a			:					int							,		a			:					int							,		a			:					int			)       ->       bool:
      if xa == ya == 0 or xa == ya == 0:
            return False
      __snake_case   :     Any	      =xa * xa + ya * ya
      __snake_case   :     Tuple	      =xa * xa + ya * ya
      __snake_case   :     List[Any]	      =(xa - xa) * (xa - xa) + (ya - ya) * (ya - ya)
      return (
          a_square + b_square == c_square
          or a_square + c_square == b_square
          or b_square + c_square == a_square
      )



def      __lowercase       (     a			:					int = 50			)       ->       int:
      return sum(
          1
          for pta, pta in combinations(product(range(limit + 1			)							,		repeat=2			)							,		2			)
          if is_right(*a							,		*a			)			)


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


