




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

class      UpperCAmelCase						:






   def __init__(	self   :       Optional[Any]						,					UpperCamelCase_   :       str						,					UpperCamelCase_   :       int     )->			List[Any]:
     _lowercase: int						     =    0
     # max greyscale value for #FFFFFF
     _lowercase: List[str]						     =    int(self.get_greyscale(2_55						,					2_55						,					2_55     )     )

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

     _lowercase: List[Any]						     =    input_img
     _lowercase: List[Any]						     =    threshold
     _lowercase: Dict						     =    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
     _lowercase: List[str]						     =    [
         [0 for _ in range(self.height + 4     )] for __ in range(self.width + 1     )
     ]
     _lowercase: str						     =    np.ones((self.width, self.height, 3)						,					np.uinta     ) * 2_55






   @classmethod
   def  _a						(	cls   :       int						,					UpperCamelCase_   :       int						,					UpperCamelCase_   :       int						,					UpperCamelCase_   :       int     )->			float:
     return 0.114 * blue + 0.587 * green + 0.2_126 * red






   def  _a						(	self   :       List[str]     )->			None:
     for y in range(self.height     ):
       for x in range(self.width     ):
         _lowercase: List[Any]						     =    int(self.get_greyscale(*self.input_img[y][x]     )     )
         if self.threshold > greyscale + self.error_table[y][x]:
           _lowercase: List[Any]						     =    (0, 0, 0)
           _lowercase: int						     =    greyscale + self.error_table[x][y]
         else:
           _lowercase: Tuple						     =    (2_55, 2_55, 2_55)
           _lowercase: List[str]						     =    greyscale + self.error_table[x][y] - 2_55
         self.error_table[y][x + 1] += int(8 / 32 * current_error     )
         self.error_table[y][x + 2] += int(4 / 32 * current_error     )
         self.error_table[y + 1][x] += int(8 / 32 * current_error     )
         self.error_table[y + 1][x + 1] += int(4 / 32 * current_error     )
         self.error_table[y + 1][x + 2] += int(2 / 32 * current_error     )
         self.error_table[y + 1][x - 1] += int(4 / 32 * current_error     )
         self.error_table[y + 1][x - 2] += int(2 / 32 * current_error     )


if __name__ == "__main__":
   # create Burke's instances with original images in greyscale
   UpperCAmelCase__						:       int							=    [
       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()






import math


def 		_lowerCamelCase				(					UpperCamelCase							)			->		int:





  """simple docstring"""





  return sum(int(UpperCamelCase							) for digit in str(UpperCamelCase							)							)


def 		_lowerCamelCase				(					UpperCamelCase = 30							)			->		int:





  """simple docstring"""





  _lowercase: int						     =    []
  for digit in range(2					,     100							):
    for power in range(2					,     100							):
      _lowercase: int						     =    int(math.pow(UpperCamelCase					,     UpperCamelCase							)							)
      if digit == digit_sum(UpperCamelCase							):
        digit_to_powers.append(UpperCamelCase							)

  digit_to_powers.sort()
  return digit_to_powers[n - 1]


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