

from __future__ import annotations

import math
def      a      (			A__	:   Union[str, Any]      ,   A__	:   List[Any]      ,   A__	:   List[str]      ,   A__	:   Any      ,   A__	:   Dict     )    ->      int:





      """simple docstring"""



      if depth < 0:
            raise ValueError('Depth cannot be less than 0'     )

      if len(A__     ) == 0:
            raise ValueError('Scores cannot be empty'     )

      if depth == height:
            return scores[node_index]

      if is_max:
            return max(
                minimax(depth + 1      ,   node_index * 2      ,   A__      ,   A__      ,   A__     )      ,   minimax(depth + 1      ,   node_index * 2 + 1      ,   A__      ,   A__      ,   A__     )      ,   )

      return min(
          minimax(depth + 1      ,   node_index * 2      ,   A__      ,   A__      ,   A__     )      ,   minimax(depth + 1      ,   node_index * 2 + 1      ,   A__      ,   A__      ,   A__     )      ,   )
def      a      (			)    ->      None:





      """simple docstring"""



      _lowercase	       =[90, 23, 6, 33, 21, 65, 123, 34423]
      _lowercase	       =math.log(len(A__     )      ,   2     )
      print('Optimal value : '      ,   end=''     )
      print(minimax(0      ,   0      ,   A__      ,   A__      ,   A__     )     )


if __name__ == "__main__":
  import doctest

  doctest.testmod()
  main()









import colorsys

from PIL import Image  # type: ignore







def  _SCREAMING_SNAKE_CASE				(   a					,						a					,						a  )      ->      float:
					__A	:						List[str]       =				x
					__A	:						str       =				y
					for step in range(a  ):  # noqa: B007
										__A	:						Union[str, Any]       =				a * a - b * b + x
										__A	:						Optional[int]       =				2 * a * b + y
										__A	:						List[str]       =				a_new

										# divergence happens for all complex number with an absolute value
										# greater than 4
										if a * a + b * b > 4:
															break
					return step / (max_step - 1)







def  _SCREAMING_SNAKE_CASE				(   a  )      ->      tuple:
					if distance == 1:
										return (0, 0, 0)
					else:
										return (2_55, 2_55, 2_55)







def  _SCREAMING_SNAKE_CASE				(   a  )      ->      tuple:
					if distance == 1:
										return (0, 0, 0)
					else:
										return tuple(round(i * 2_55  ) for i in colorsys.hsv_to_rgb(a					,						1					,						1  )  )







def  _SCREAMING_SNAKE_CASE				(   a = 8_00					,						a = 6_00					,						a = -0.6					,						a = 0					,						a = 3.2					,						a = 50					,						a = True					,						)      ->      Image.Image:
					__A	:						str       =				Image.new('RGB'					,						(image_width, image_height)  )
					__A	:						Dict       =				img.load()

					# loop through the image-coordinates
					for image_x in range(a  ):
										for image_y in range(a  ):
															# determine the figure-coordinates based on the image-coordinates
															__A	:						Dict       =				figure_width / image_width * image_height
															__A	:						Union[str, Any]       =				figure_center_x + (image_x / image_width - 0.5) * figure_width
															__A	:						Optional[Any]       =				figure_center_y + (image_y / image_height - 0.5) * figure_height

															__A	:						Union[str, Any]       =				get_distance(a					,						a					,						a  )

															# color the corresponding pixel based on the selected coloring-function
															if use_distance_color_coding:
																				__A	:						Optional[Any]       =				get_color_coded_rgb(a  )
															else:
																				__A	:						Dict       =				get_black_and_white_rgb(a  )

					return img


if __name__ == "__main__":
				import doctest

				doctest.testmod()

				# colored version, full figure
				UpperCAmelCase						:   str			  =     get_image()

				# uncomment for colored version, different section, zoomed in
				# img = get_image(figure_center_x = -0.6, figure_center_y = -0.4,
				# figure_width = 0.8)

				# uncomment for black and white version, full figure
				# img = get_image(use_distance_color_coding = False)

				# uncomment to save the image
				# img.save("mandelbrot.png")

				img.show()




