






"""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"""





def   a    (     __UpperCAmelCase      :    int      ,   __UpperCAmelCase      :    int  )    ->							int:
						while b:
												__magic_name__,			__magic_name__:	Optional[int]							=       b, a % b
						return a



def   a    (     __UpperCAmelCase      :    int      ,   __UpperCAmelCase      :    int  )    ->							int:
						return a if b == 0 else euclidean_gcd_recursive(__UpperCAmelCase      ,   a % b  )



def   a    (     )    ->							List[Any]:
						print(f'euclidean_gcd(3, 5) = {euclidean_gcd(3      ,   5  )}'  )
						print(f'euclidean_gcd(5, 3) = {euclidean_gcd(5      ,   3  )}'  )
						print(f'euclidean_gcd(1, 3) = {euclidean_gcd(1      ,   3  )}'  )
						print(f'euclidean_gcd(3, 6) = {euclidean_gcd(3      ,   6  )}'  )
						print(f'euclidean_gcd(6, 3) = {euclidean_gcd(6      ,   3  )}'  )

						print(f'euclidean_gcd_recursive(3, 5) = {euclidean_gcd_recursive(3      ,   5  )}'  )
						print(f'euclidean_gcd_recursive(5, 3) = {euclidean_gcd_recursive(5      ,   3  )}'  )
						print(f'euclidean_gcd_recursive(1, 3) = {euclidean_gcd_recursive(1      ,   3  )}'  )
						print(f'euclidean_gcd_recursive(3, 6) = {euclidean_gcd_recursive(3      ,   6  )}'  )
						print(f'euclidean_gcd_recursive(6, 3) = {euclidean_gcd_recursive(6      ,   3  )}'  )


if __name__ == "__main__":
							main()



