code: 
  """simple docstring"""
  import numpy as np
  from cva import destroyAllWindows, imread, imshow, waitKey
  
  
  
  
  class   lowercase__							:
  
  
  
  
  
     def __init__(       self			,      SCREAMING_SNAKE_CASE			,      SCREAMING_SNAKE_CASE)     ->     Tuple:
        _lowerCamelCase  :				str      =		0
        # max greyscale value for #FFFFFF
        _lowerCamelCase  :				Optional[int]      =		int(self.get_greyscale(255			,      255			,      255))
  
        if not self.min_threshold < threshold < self.max_threshold:
           _lowerCamelCase  :				int      =		F'Factor value should be from 0 to {self.max_threshold}'
           raise ValueError(SCREAMING_SNAKE_CASE)
  
        _lowerCamelCase  :				Optional[Any]      =		input_img
        _lowerCamelCase  :				Any      =		threshold
        _lowerCamelCase  :				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
        _lowerCamelCase  :				Optional[Any]      =		[
            [0 for _ in range(self.height + 4)] for __ in range(self.width + 1)
        ]
        _lowerCamelCase  :				int      =		np.ones((self.width, self.height, 3)			,      np.uinta) * 255
  
  
  
  
  
     @classmethod
     def 		UpperCamelCase_     (       cls			,      SCREAMING_SNAKE_CASE			,      SCREAMING_SNAKE_CASE			,      SCREAMING_SNAKE_CASE)     ->     float:
        return 0.1_14 * blue + 0.5_87 * green + 0.21_26 * red
  
  
  
  
  
     def 		UpperCamelCase_     (       self)     ->     None:
        for y in range(self.height):
           for x in range(self.width):
              _lowerCamelCase  :				Union[str, Any]      =		int(self.get_greyscale(*self.input_img[y][x]))
              if self.threshold > greyscale + self.error_table[y][x]:
                 _lowerCamelCase  :				List[str]      =		(0, 0, 0)
                 _lowerCamelCase  :				str      =		greyscale + self.error_table[x][y]
              else:
                 _lowerCamelCase  :				Union[str, Any]      =		(255, 255, 255)
                 _lowerCamelCase  :				int      =		greyscale + self.error_table[x][y] - 255
              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   =	[
       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()
  
  
style_context: 
  
  
  """simple docstring"""
  def 							_snake_case			(      __snake_case       :			str	,   __snake_case       :			str	,   __snake_case       :			int	,   __snake_case       :			int	,   __snake_case       :			int	,   __snake_case       :			int	,   ):
  
  
  
  
     """simple docstring"""
  
  
  
  
  
  
  
     _lowerCamelCase  :				Optional[Any]      =		list(__snake_case      )
     _lowerCamelCase  :				Optional[int]      =		list(__snake_case      )
     _lowerCamelCase  :				Union[str, Any]      =		len(__snake_case      )
     _lowerCamelCase  :				Optional[int]      =		len(__snake_case      )
  
     _lowerCamelCase  :				List[str]      =		[
         [0 for _ in range(len_destination_seq + 1      )] for _ in range(len_source_seq + 1      )
     ]
     _lowerCamelCase  :				List[Any]      =		[
         ["""0""" for _ in range(len_destination_seq + 1      )] for _ in range(len_source_seq + 1      )
     ]
  
     for i in range(1	,   len_source_seq + 1      ):
        _lowerCamelCase  :				Optional[Any]      =		i * delete_cost
        _lowerCamelCase  :				Any      =		F'D{source_seq[i - 1]:c}'
  
     for i in range(1	,   len_destination_seq + 1      ):
        _lowerCamelCase  :				Dict      =		i * insert_cost
        _lowerCamelCase  :				List[str]      =		F'I{destination_seq[i - 1]:c}'
  
     for i in range(1	,   len_source_seq + 1      ):
        for j in range(1	,   len_destination_seq + 1      ):
           if source_seq[i - 1] == destination_seq[j - 1]:
              _lowerCamelCase  :				Union[str, Any]      =		costs[i - 1][j - 1] + copy_cost
              _lowerCamelCase  :				Tuple      =		F'C{source_seq[i - 1]:c}'
           else:
              _lowerCamelCase  :				Tuple      =		costs[i - 1][j - 1] + replace_cost
              _lowerCamelCase  :				List[str]      =		F'R{source_seq[i - 1]:c}' + str(destination_seq[j - 1]      )
  
           if costs[i - 1][j] + delete_cost < costs[i][j]:
              _lowerCamelCase  :				Any      =		costs[i - 1][j] + delete_cost
              _lowerCamelCase  :				Any      =		F'D{source_seq[i - 1]:c}'
  
           if costs[i][j - 1] + insert_cost < costs[i][j]:
              _lowerCamelCase  :				Dict      =		costs[i][j - 1] + insert_cost
              _lowerCamelCase  :				Union[str, Any]      =		F'I{destination_seq[j - 1]:c}'
  
     return costs, ops
  
  def 							_snake_case			(      __snake_case       :			list[list[str]]	,   __snake_case       :			int	,   __snake_case       :			int      ):
  
  
  
  
     """simple docstring"""
  
  
  
  
  
  
  
     if i == 0 and j == 0:
        return []
     else:
        if ops[i][j][0] == "C" or ops[i][j][0] == "R":
           _lowerCamelCase  :				List[Any]      =		assemble_transformation(__snake_case	,   i - 1	,   j - 1      )
           seq.append(ops[i][j]      )
           return seq
        elif ops[i][j][0] == "D":
           _lowerCamelCase  :				Optional[Any]      =		assemble_transformation(__snake_case	,   i - 1	,   __snake_case      )
           seq.append(ops[i][j]      )
           return seq
        else:
           _lowerCamelCase  :				str      =		assemble_transformation(__snake_case	,   __snake_case	,   j - 1      )
           seq.append(ops[i][j]      )
           return seq
  
  
  if __name__ == "__main__":
   UpperCAmelCase ,     UpperCAmelCase   =	compute_transform_tables("""Python""", """Algorithms""", -1, 1, 2, 2)
  
   UpperCAmelCase   =	len(operations)
   UpperCAmelCase   =	len(operations[0])
   UpperCAmelCase   =	assemble_transformation(operations, m - 1, n - 1)
  
   UpperCAmelCase   =	list("""Python""")
   UpperCAmelCase   =	0
   UpperCAmelCase   =	0
  
   with open("""min_cost.txt""", """w""") as file:
    for op in sequence:
     print("""""".join(string))
  
     if op[0] == "C":
      file.write("""%-16s""" % """Copy %c""" % op[1])
      file.write("""\t\t\t""" + """""".join(string))
      file.write("""\r\n""")
  
      cost -= 1
     elif op[0] == "R":
      UpperCAmelCase   =	op[2]
  
      file.write("""%-16s""" % ("""Replace %c""" % op[1] + """ with """ + str(op[2])))
      file.write("""\t\t""" + """""".join(string))
      file.write("""\r\n""")
  
      cost += 1
     elif op[0] == "D":
      string.pop(i)
  
      file.write("""%-16s""" % """Delete %c""" % op[1])
      file.write("""\t\t\t""" + """""".join(string))
      file.write("""\r\n""")
  
      cost += 2
     else:
      string.insert(i, op[1])
  
      file.write("""%-16s""" % """Insert %c""" % op[1])
      file.write("""\t\t\t""" + """""".join(string))
      file.write("""\r\n""")
  
      cost += 2
  
     i += 1
  
    print("""""".join(string))
    print("""Cost: """, cost)
  
    file.write("""\r\nMinimum cost: """ + str(cost))
  
  