






import numpy as np
from cva import destroyAllWindows, imread, imshow, waitKey




class        _lowerCAmelCase:





       """simple docstring"""







       def __init__(      self						,    _lowerCamelCase						,    _lowerCamelCase							):
         UpperCamelCase_:      Optional[int]					   =       0
         # max greyscale value for #FFFFFF
         UpperCamelCase_:      Tuple					   =       int(self.get_greyscale(2_5_5						,    2_5_5						,    2_5_5							)							)

         if not self.min_threshold < threshold < self.max_threshold:
           UpperCamelCase_:      str					   =       f'''Factor value should be from 0 to {self.max_threshold}'''
           raise ValueError(_lowerCamelCase							)

         UpperCamelCase_:      Dict					   =       input_img
         UpperCamelCase_:      Optional[Any]					   =       threshold
         UpperCamelCase_   ,UpperCamelCase_:      Optional[int]					   =       self.input_img.shape[1], self.input_img.shape[0]

         # error table size (+4 columns and +1 row) greater than input image because of
         # lack of if statements
         UpperCamelCase_:      Optional[int]					   =       [
             [0 for _ in range(self.height + 4							)] for __ in range(self.width + 1							)
         ]
         UpperCamelCase_:      Optional[Any]					   =       np.ones((self.width, self.height, 3)						,    np.uinta							) * 2_5_5





       @classmethod
       def     _a					(      cls						,    _lowerCamelCase						,    _lowerCamelCase						,    _lowerCamelCase							):
         return 0.1_1_4 * blue + 0.5_8_7 * green + 0.2_1_2_6 * red





       def     _a					(      self							):
         for y in range(self.height							):
           for x in range(self.width							):
             UpperCamelCase_:      Union[str, Any]					   =       int(self.get_greyscale(*self.input_img[y][x]							)							)
             if self.threshold > greyscale + self.error_table[y][x]:
               UpperCamelCase_:      Any					   =       (0, 0, 0)
               UpperCamelCase_:      str					   =       greyscale + self.error_table[x][y]
             else:
               UpperCamelCase_:      Optional[int]					   =       (2_5_5, 2_5_5, 2_5_5)
               UpperCamelCase_:      Union[str, Any]					   =       greyscale + self.error_table[x][y] - 2_5_5
             self.error_table[y][x + 1] += int(8 / 3_2 * current_error							)
             self.error_table[y][x + 2] += int(4 / 3_2 * current_error							)
             self.error_table[y + 1][x] += int(8 / 3_2 * current_error							)
             self.error_table[y + 1][x + 1] += int(4 / 3_2 * current_error							)
             self.error_table[y + 1][x + 2] += int(2 / 3_2 * current_error							)
             self.error_table[y + 1][x - 1] += int(4 / 3_2 * current_error							)
             self.error_table[y + 1][x - 2] += int(2 / 3_2 * current_error							)


if __name__ == "__main__":
   # create Burke's instances with original images in greyscale
   A_	:	str				=				[
       Burkes(imread('image_data/lena.jpg', 1), threshold)
       for threshold in (1, 126, 130, 140)
   ]

   for burkes in burkes_instances:
      burkes.process()

   for burkes in burkes_instances:
      imshow(
          F'''Original image with dithering threshold: {burkes.threshold}''',
          burkes.output_img,
      )

   waitKey(0)
   destroyAllWindows()







from math import factorial

def 						snake_case      (UpperCAmelCase__			,					UpperCAmelCase__						) ->       Dict:
  return factorial(UpperCAmelCase__						) / (factorial(UpperCAmelCase__						) * factorial(n - r						))

def 						snake_case      () ->       Optional[Any]:
  UpperCamelCase_:      int					   =       0

  for i in range(1			,					1_0_1						):
    for j in range(1			,					i + 1						):
      if combinations(UpperCAmelCase__			,					UpperCAmelCase__						) > 1E6:
        total += 1
  return total


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