


'''simple docstring'''





import colorsys

from PIL import Image  # type: ignore






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: Any,_SCREAMING_SNAKE_CASE					: Any,_SCREAMING_SNAKE_CASE					: Any ):






			"""simple docstring"""




			__A=	x
			__A=	y
			for step in range(__UpperCAmelCase ):  # noqa: B007
						__A=	a * a - b * b + x
						__A=	2 * a * b + y
						__A=	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__(				_SCREAMING_SNAKE_CASE					: Union[str, Any] ):






			"""simple docstring"""




			if distance == 1:
						return (0, 0, 0)
			else:
						return (255, 255, 255)






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: Optional[Any] ):






			"""simple docstring"""




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






def 						UpperCAmelCase__(				_SCREAMING_SNAKE_CASE					: str = 800,_SCREAMING_SNAKE_CASE					: List[Any] = 600,_SCREAMING_SNAKE_CASE					: Optional[Any] = -0.6,_SCREAMING_SNAKE_CASE					: Optional[int] = 0,_SCREAMING_SNAKE_CASE					: str = 3.2,_SCREAMING_SNAKE_CASE					: str = 50,_SCREAMING_SNAKE_CASE					: Any = True,):






			"""simple docstring"""




			__A=	Image.new('RGB',(image_width, image_height) )
			__A=	img.load()

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

									__A=	get_distance(__UpperCAmelCase,__UpperCAmelCase,__UpperCAmelCase )

									# color the corresponding pixel based on the selected coloring-function
									if use_distance_color_coding:
												__A=	get_color_coded_rgb(__UpperCAmelCase )
									else:
												__A=	get_black_and_white_rgb(__UpperCAmelCase )

			return img


if __name__ == "__main__":
					import doctest

					doctest.testmod()

					# colored version, full figure
					UpperCAmelCase__  			=				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()








'''simple docstring'''

import unittest

from knapsack import knapsack as k






class 						a_		(     unittest.TestCase    ):


							def    UpperCamelCase     (				self   :						str			)			->					List[Any]:
										snake_case:    Optional[Any]      							=0
										snake_case:    List[str]      							=[0]
										snake_case:    List[str]      							=[0]
										snake_case:    Union[str, Any]      							=len(a_			)
										self.assertEqual(k.knapsack(a_      ,						a_      ,						a_      ,						a_			)      ,						0			)

										snake_case:    Union[str, Any]      							=[6_0]
										snake_case:    str      							=[1_0]
										snake_case:    List[str]      							=len(a_			)
										self.assertEqual(k.knapsack(a_      ,						a_      ,						a_      ,						a_			)      ,						0			)


							def    UpperCamelCase     (				self   :						int			)			->					Optional[Any]:
										snake_case:    Optional[int]      							=3
										snake_case:    Dict      							=[1, 2, 3]
										snake_case:    List[Any]      							=[3, 2, 1]
										snake_case:    Tuple      							=len(a_			)
										self.assertEqual(k.knapsack(a_      ,						a_      ,						a_      ,						a_			)      ,						5			)




							def    UpperCamelCase     (				self   :						List[str]			)			->					str:
										snake_case:    Any      							=5_0
										snake_case:    str      							=[6_0, 1_0_0, 1_2_0]
										snake_case:    Any      							=[1_0, 2_0, 3_0]
										snake_case:    Tuple      							=len(a_			)
										self.assertEqual(k.knapsack(a_      ,						a_      ,						a_      ,						a_			)      ,						2_2_0			)


if __name__ == "__main__":
	unittest.main()




