


import colorsys

from PIL import Image  # type: ignore





def   _lowerCAmelCase				(   UpperCamelCase__:     float							,					UpperCamelCase__:     float							,					UpperCamelCase__:     int						) ->   float:





	"""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   _lowerCAmelCase				(   UpperCamelCase__:     float						) ->   tuple:





	"""simple docstring"""







	if distance == 1:
		return (0, 0, 0)
	else:
		return (2_55, 2_55, 2_55)





def   _lowerCAmelCase				(   UpperCamelCase__:     float						) ->   tuple:





	"""simple docstring"""







	if distance == 1:
		return (0, 0, 0)
	else:
		return tuple(round(i * 2_55						) for i in colorsys.hsv_to_rgb(UpperCamelCase__							,					1							,					1						)						)





def   _lowerCAmelCase				(   UpperCamelCase__:     int = 8_00							,					UpperCamelCase__:     int = 6_00							,					UpperCamelCase__:     float = -0.6							,					UpperCamelCase__:     float = 0							,					UpperCamelCase__:     float = 3.2							,					UpperCamelCase__:     int = 50							,					UpperCamelCase__:     bool = True							,					) ->   Image.Image:





	"""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
				_lowercase       :      Optional[int]	=	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 __future__ import annotations

import requests





def   _lowerCAmelCase				(   UpperCamelCase__:     str						) ->   dict:





	"""simple docstring"""







	A								=				f'https://hacker-news.firebaseio.com/v0/item/{story_id}.json?print=pretty'
	return requests.get(UpperCamelCase__						).json()





def   _lowerCAmelCase				(   UpperCamelCase__:     int = 10						) ->   list[dict]:





	"""simple docstring"""







	A								=				"""https://hacker-news.firebaseio.com/v0/topstories.json?print=pretty"""
	A								=				requests.get(UpperCamelCase__						).json()[:max_stories]
	return [get_hackernews_story(UpperCamelCase__						) for story_id in story_ids]





def   _lowerCAmelCase				(   UpperCamelCase__:     int = 10						) ->   str:





	"""simple docstring"""







	A								=				hackernews_top_stories(UpperCamelCase__						)
	return "\n".join("""* [{title}]({url})""".format(**UpperCamelCase__						) for story in stories						)


if __name__ == "__main__":
				print(hackernews_top_stories_as_markdown())



