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





class   lowerCAmelCase    :



     def __init__(       self					,   lowerCAmelCase__					,   lowerCAmelCase__							):
            _A=						0
            # max greyscale value for #FFFFFF
            _A=						int(self.get_greyscale(255					,   255					,   255							)							)

            if not self.min_threshold < threshold < self.max_threshold:
                   _A=						f"Factor value should be from 0 to {self.max_threshold}"
                   raise ValueError(lowerCAmelCase__							)

            _A=						input_img
            _A=						threshold
            _A,      _A=						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
            _A=						[
                [0 for _ in range(self.height + 4							)] for __ in range(self.width + 1							)
            ]
            _A=						np.ones((self.width, self.height, 3)					,   np.uinta							) * 255



     @classmethod
     def       a__	(       cls					,   lowerCAmelCase__					,   lowerCAmelCase__					,   lowerCAmelCase__							):
            return 0.114 * blue + 0.587 * green + 0.2126 * red





     def       a__	(       self							):
            for y in range(self.height							):
                   for x in range(self.width							):
                          _A=						int(self.get_greyscale(*self.input_img[y][x]							)							)
                          if self.threshold > greyscale + self.error_table[y][x]:
                                 _A=						(0, 0, 0)
                                 _A=						greyscale + self.error_table[x][y]
                          else:
                                 _A=						(255, 255, 255)
                                 _A=						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()
from __future__ import annotations

def 				UpperCamelCase					(     lowerCAmelCase_ )		->    set[int]:




       '''simple docstring'''






       _A=						{1}
       _A=						[1]
       for _ in range(2							,       depth + 1 ):
              _A=						[*previous_coefficients, 0]
              _A=						[0, *previous_coefficients]
              _A=						[]
              for x, y in zip(lowerCAmelCase_							,       lowerCAmelCase_ ):
                     coefficients.add(x + y )
                     previous_coefficients.append(x + y )
       return coefficients

def 				UpperCamelCase					(     lowerCAmelCase_ )		->    set[int]:




       '''simple docstring'''






       _A=						set()
       for number in unique_coefficients:
              _A=						2
              _A=						number
              while divisor**2 <= copy_number:
                     _A=						0
                     while copy_number % divisor == 0:
                            copy_number //= divisor
                            multiplicity += 1
                     if multiplicity >= 2:
                            non_squarefrees.add(lowerCAmelCase_ )
                            break
                     divisor += 1

       return unique_coefficients.difference(lowerCAmelCase_ )

def 				UpperCamelCase					(     lowerCAmelCase_ = 51 )		->    int:




       '''simple docstring'''






       _A=						get_pascal_triangle_unique_coefficients(lowerCAmelCase_ )
       _A=						get_squarefrees(lowerCAmelCase_ )
       return sum(lowerCAmelCase_ )


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