






"""simple docstring"""


import numpy as np
from cva import COLOR_BGR2GRAY, CV_8UC3, cvtColor, filteraD, imread, imshow, waitKey




def     snake_case						(A_   :int			,    A_   :int			,    A_   :int			,    A_   :int			,    A_   :int			,    A_   :int   ):







  '''simple docstring'''

  if (ksize % 2) == 0:
    a  :    Optional[int]       =     ksize + 1
  a  :    List[Any]       =     np.zeros((ksize, ksize)			,    dtype=np.floataa   )

  # each value
  for y in range(A_   ):
    for x in range(A_   ):
      # distance from center
      a  :    Tuple       =     x - ksize // 2
      a  :    int       =     y - ksize // 2

      # degree to radiant
      a  :    List[str]       =     theta / 1_8_0 * np.pi
      a  :    Any       =     np.cos(_theta   )
      a  :    List[Any]       =     np.sin(_theta   )

      # get kernel x
      a  :    int       =     cos_theta * px + sin_theta * py

      # get kernel y
      a  :    Tuple       =     -sin_theta * px + cos_theta * py

      # fill kernel
      a  :    Optional[int]       =     np.exp(
          -(_x**2 + gamma**2 * _y**2) / (2 * sigma**2)   ) * np.cos(2 * np.pi * _x / lambd + psi   )

  return gabor


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   # read original image
   _UpperCamelCase       :					Optional[Any]									=		imread('../image_data/lena.jpg')
   # turn image in gray scale value
   _UpperCamelCase       :					List[str]									=		cvtColor(img, COLOR_BGR2GRAY)

   # Apply multiple Kernel to detect edges
   _UpperCamelCase       :					List[Any]									=		np.zeros(gray.shape[:2])
   for theta in [0, 30, 60, 90, 120, 150]:
      _UpperCamelCase       :					Tuple									=		gabor_filter_kernel(10, 8, theta, 10, 0, 0)
      out += filteraD(gray, CV_8UC3, kernel_aa)
   _UpperCamelCase       :					List[Any]									=		out / out.max() * 255
   _UpperCamelCase       :					List[str]									=		out.astype(np.uinta)

   imshow('Original', gray)
   imshow('Gabor filter with 20x20 mask and 6 directions', out)

   waitKey(0)












"""simple docstring"""


from collections import defaultdict
from math import ceil, sqrt




def     snake_case						(A_   :int = 1_0_0_0_0_0_0			,    A_   :int = 1_0   ):







  '''simple docstring'''

  a  :    defaultdict       =     defaultdict(A_   )

  for outer_width in range(3			,    (t_limit // 4) + 2   ):
    if outer_width * outer_width > t_limit:
      a  :    Optional[Any]       =     max(
          ceil(sqrt(outer_width * outer_width - t_limit   )   )			,    1   )
    else:
      a  :    Union[str, Any]       =     1

    hole_width_lower_bound += (outer_width - hole_width_lower_bound) % 2

    for hole_width in range(A_			,    outer_width - 1			,    2   ):
      count[outer_width * outer_width - hole_width * hole_width] += 1

  return sum(1 for n in count.values() if 1 <= n <= 1_0   )


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




