



"""simple docstring"""






from math import isqrt, loga






def        snake_case_  (      A_					:		int						):


       '''simple docstring'''





       _lowerCamelCase						:				Optional[Any]    			= [True] * max_number
       for i in range(2,				isqrt(max_number - 1						) + 1						):
              if is_prime[i]:
                     for j in range(i**2,				A_,				A_						):
                            _lowerCamelCase						:				str    			= False

       return [i for i in range(2,				A_						) if is_prime[i]]






def        snake_case_  (      A_					:		int = 80_08_00,				A_					:		int = 80_08_00						):


       '''simple docstring'''





       _lowerCamelCase						:				Dict    			= degree * loga(A_						)
       _lowerCamelCase						:				Any    			= int(A_						)
       _lowerCamelCase						:				List[Any]    			= calculate_prime_numbers(A_						)

       _lowerCamelCase						:				Dict    			= 0
       _lowerCamelCase						:				Dict    			= 0
       _lowerCamelCase						:				str    			= len(A_						) - 1
       while left < right:
              while (
                  prime_numbers[right] * loga(prime_numbers[left]						)
                  + prime_numbers[left] * loga(prime_numbers[right]						)
                  > upper_bound
              ):
                     right -= 1
              hybrid_integers_count += right - left
              left += 1

       return hybrid_integers_count


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







from PIL import Image






def 				A				(					_lowerCamelCase  ):





							'''simple docstring'''




							_lowerCAmelCase   ,    _lowerCAmelCase     :							int    =    image.size
							_lowerCAmelCase     :							Any    =    0
							_lowerCAmelCase     :							Tuple    =    image.load()
							for i in range(_lowerCamelCase  ):
														for j in range(_lowerCamelCase  ):
																					_lowerCAmelCase     :							Union[str, Any]    =    pixels[j, i]
																					mean += pixel
							mean //= width * height

							for j in range(_lowerCamelCase  ):
														for i in range(_lowerCamelCase  ):
																					_lowerCAmelCase     :							Optional[Any]    =    255 if pixels[i, j] > mean else 0
							return image


if __name__ == "__main__":
						_snake_case		=  mean_threshold(Image.open("path_to_image").convert("L"))
						image.save("output_image_path")
