



import colorsys

from PIL import Image  # type: ignore



def 	UpperCAmelCase   (						_lowerCamelCase ,    _lowerCamelCase ,    _lowerCamelCase    ):
			A							:					Tuple              =						x
			A							:					List[str]              =						y
			for step in range(_lowerCamelCase    ):  # noqa: B007
						A							:					Union[str, Any]              =						a * a - b * b + x
						A							:					Tuple              =						2 * a * b + y
						A							:					Union[str, Any]              =						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 	UpperCAmelCase   (						_lowerCamelCase    ):
			if distance == 1:
						return (0, 0, 0)
			else:
						return (255, 255, 255)



def 	UpperCAmelCase   (						_lowerCamelCase    ):
			if distance == 1:
						return (0, 0, 0)
			else:
						return tuple(round(i * 255    ) for i in colorsys.hsv_to_rgb(_lowerCamelCase ,    1 ,    1    )    )



def 	UpperCAmelCase   (						_lowerCamelCase = 800 ,    _lowerCamelCase = 600 ,    _lowerCamelCase = -0.6 ,    _lowerCamelCase = 0 ,    _lowerCamelCase = 3.2 ,    _lowerCamelCase = 50 ,    _lowerCamelCase = True ,    ):
			A							:					Union[str, Any]              =						Image.new("RGB" ,    (image_width, image_height)    )
			A							:					int              =						img.load()

			# loop through the image-coordinates
			for image_x in range(_lowerCamelCase    ):
						for image_y in range(_lowerCamelCase    ):
									# determine the figure-coordinates based on the image-coordinates
									A							:					str              =						figure_width / image_width * image_height
									A							:					str              =						figure_center_x + (image_x / image_width - 0.5) * figure_width
									A							:					str              =						figure_center_y + (image_y / image_height - 0.5) * figure_height

									A							:					Union[str, Any]              =						get_distance(_lowerCamelCase ,    _lowerCamelCase ,    _lowerCamelCase    )

									# color the corresponding pixel based on the selected coloring-function
									if use_distance_color_coding:
												A							:					str              =						get_color_coded_rgb(_lowerCamelCase    )
									else:
												A							:					Dict              =						get_black_and_white_rgb(_lowerCamelCase    )

			return img


if __name__ == "__main__":
							import doctest

							doctest.testmod()

							# colored version, full figure
							__SCREAMING_SNAKE_CASE           =  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()




from collections import deque

from .hash_table import HashTable

class 	lowerCamelCase_    ( _A						):






						'''simple docstring'''







						def __init__(	self      :			Union[str, Any]	,	*__lowerCamelCase      :			Dict	,	**__lowerCamelCase      :			int )      ->				Optional[int]:
									super().__init__(*__lowerCamelCase	,	**__lowerCamelCase )







						def 			SCREAMING_SNAKE_CASE__		(	self      :			List[str]	,	__lowerCamelCase      :			List[str]	,	__lowerCamelCase      :			Union[str, Any] )      ->				Union[str, Any]:
									A							:					Optional[Any]              =						deque([] ) if self.values[key] is None else self.values[key]
									self.values[key].appendleft(__lowerCamelCase )
									A							:					Dict              =						self.values[key]







						def 			SCREAMING_SNAKE_CASE__		(	self      :			Any )      ->				str:
									return (
									    sum(self.charge_factor - len(__lowerCamelCase ) for slot in self.values )
									    / self.size_table
									    * self.charge_factor
									)







						def 			SCREAMING_SNAKE_CASE__		(	self      :			Optional[Any]	,	__lowerCamelCase      :			Any	,	__lowerCamelCase      :			List[Any]=None )      ->				Optional[int]:
									if not (
									    len(self.values[key] ) == self.charge_factor and self.values.count(__lowerCamelCase ) == 0
									):
												return key
									return super()._collision_resolution(__lowerCamelCase	,	__lowerCamelCase )