






"""simple docstring"""





def   a    (     __UpperCAmelCase      :    str      ,   __UpperCAmelCase      :    int  )    ->							list:
						__magic_name__:	List[str]							=       word.split()

						def justify(__UpperCAmelCase      :    list      ,   __UpperCAmelCase      :    int      ,   __UpperCAmelCase      :    int  ) -> str:
												__magic_name__:	Dict							=       max_width - width
												__magic_name__:	Dict							=       len(__UpperCAmelCase  )
												if len(__UpperCAmelCase  ) == 1:
																		# if there is only word in line
																		# just insert overall_spaces_count for the remainder of line
																		return line[0] + " " * overall_spaces_count
												else:
																		__magic_name__:	List[Any]							=       words_count - 1
																		# num_spaces_between_words_list[i] : tells you to insert
																		# num_spaces_between_words_list[i] spaces
																		# after word on line[i]
																		__magic_name__:	Tuple							=       spaces_to_insert_between_words * [
																		    overall_spaces_count // spaces_to_insert_between_words
																		]
																		__magic_name__:	List[Any]							=       (
																		    overall_spaces_count % spaces_to_insert_between_words
																		)
																		# distribute spaces via round robin to the left words
																		for i in range(__UpperCAmelCase  ):
																								num_spaces_between_words_list[i] += 1
																		__magic_name__:	Dict							=       []
																		for i in range(__UpperCAmelCase  ):
																								# add the word
																								aligned_words_list.append(line[i]  )
																								# add the spaces to insert
																								aligned_words_list.append(num_spaces_between_words_list[i] * """ """  )
																		# just add the last word to the sentence
																		aligned_words_list.append(line[-1]  )
																		# join the aligned words list to form a justified line
																		return "".join(__UpperCAmelCase  )

						__magic_name__:	Any							=       []
						__magic_name__:	list[str]							=       []
						__magic_name__:	List[str]							=       0
						for word in words:
												if width + len(__UpperCAmelCase  ) + len(__UpperCAmelCase  ) <= max_width:
																		# keep adding words until we can fill out max_width
																		# width = sum of length of all words (without overall_spaces_count)
																		# len(word) = length of current word
																		# len(line) = number of overall_spaces_count to insert between words
																		line.append(__UpperCAmelCase  )
																		width += len(__UpperCAmelCase  )
												else:
																		# justify the line and add it to result
																		answer.append(justify(__UpperCAmelCase      ,   __UpperCAmelCase      ,   __UpperCAmelCase  )  )
																		# reset new line and new width
																		__magic_name__,			__magic_name__:	List[Any]							=       [word], len(__UpperCAmelCase  )
						__magic_name__:	Dict							=       max_width - width - len(__UpperCAmelCase  )
						answer.append(""" """.join(__UpperCAmelCase  ) + (remaining_spaces + 1) * """ """  )
						return answer


if __name__ == "__main__":
							from doctest import testmod

							testmod()






'''simple docstring'''



import colorsys

from PIL import Image  # type: ignore


def       snake_case   (	snake_case      : float					,		snake_case      : float					,		snake_case      : int			) ->  float:


    """simple docstring"""


    lowerCAmelCase 						=							x
    lowerCAmelCase 						=							y
    for step in range(snake_case			):  # noqa: B007
        lowerCAmelCase 						=							a * a - b * b + x
        lowerCAmelCase 						=							2 * a * b + y
        lowerCAmelCase 						=							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       snake_case   (	snake_case      : float			) ->  tuple:


    """simple docstring"""


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


def       snake_case   (	snake_case      : float			) ->  tuple:


    """simple docstring"""


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


def       snake_case   (	snake_case      : int = 800					,		snake_case      : int = 600					,		snake_case      : float = -0.6					,		snake_case      : float = 0					,		snake_case      : float = 3.2					,		snake_case      : int = 50					,		snake_case      : bool = True					,		) ->  Image.Image:


    """simple docstring"""


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

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

            lowerCAmelCase 						=							get_distance(snake_case					,		snake_case					,		snake_case			)

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

    return img


if __name__ == "__main__":
     import doctest

     doctest.testmod()

     # colored version, full figure
     _UpperCamelCase						:  Dict							       =				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()





