def 		__lowerCamelCase							(UpperCAmelCase__       :							int ,	UpperCAmelCase__       :							int					):
					while b:
										SCREAMING_SNAKE_CASE     ,				SCREAMING_SNAKE_CASE           =    b, a % b
					return a





def 		__lowerCamelCase							(UpperCAmelCase__       :							int ,	UpperCAmelCase__       :							int					):
					return a if b == 0 else euclidean_gcd_recursive(UpperCAmelCase__ ,	a % b					)





def 		__lowerCamelCase							():
					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()





from __future__ import annotations

from collections.abc import Iterator


class   lowercase      :




							def __init__(  self				:   str		,							_UpperCamelCase				:   int )   ->			None:



												'''simple docstring'''

												SCREAMING_SNAKE_CASE           =    value
												SCREAMING_SNAKE_CASE           =    None
												SCREAMING_SNAKE_CASE           =    None



class   lowercase      :




							def __init__(  self				:   str		,							_UpperCamelCase				:   Node )   ->			None:



												'''simple docstring'''

												SCREAMING_SNAKE_CASE           =    tree




							def 		__snake_case(  self				:   int		,							_UpperCamelCase				:   Node | None )   ->			int:



												'''simple docstring'''

												if node is None:
																	return 0
												return node.value + (
												    self.depth_first_search(node.left ) + self.depth_first_search(node.right )
												)





							def __iter__(  self				:   List[Any] )   ->			Iterator[int]:



												'''simple docstring'''

												yield self.depth_first_search(self.tree )


if __name__ == "__main__":
							import doctest

							doctest.testmod()




