





"""simple docstring"""


from __future__ import annotations






class        lowercase__ :

			"""simple docstring"""







			def __init__(			self	,      _A = 0						):






									'''simple docstring'''







									UpperCamelCase							:		int							      = value
									UpperCamelCase							:		Node | None							      = None
									UpperCamelCase							:		Node | None							      = None


def     UpperCamelCase       (SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE    ):
						if treea is None:
												return treea
						if treea is None:
												return treea

						UpperCamelCase							:		Any							      = treea.value + treea.value
						UpperCamelCase							:		Dict							      = merge_two_binary_trees(treea.left       ,    treea.left    )
						UpperCamelCase							:		Tuple							      = merge_two_binary_trees(treea.right       ,    treea.right    )
						return treea

def     UpperCamelCase       (SCREAMING_SNAKE_CASE    ):
						if root:
												print(root.value    )
												print_preorder(root.left    )
												print_preorder(root.right    )


if __name__ == "__main__":
		__magic_name__					:				str	=				Node(1)
		__magic_name__					:				Dict	=				Node(2)
		__magic_name__					:				Optional[int]	=				Node(3)
		__magic_name__					:				List[str]	=				Node(4)

		__magic_name__					:				Dict	=				Node(2)
		__magic_name__					:				Optional[Any]	=				Node(4)
		__magic_name__					:				str	=				Node(6)
		__magic_name__					:				Any	=				Node(9)
		__magic_name__					:				Union[str, Any]	=				Node(5)

		print("""Tree1 is: """)
		print_preorder(treea)
		print("""Tree2 is: """)
		print_preorder(treea)
		__magic_name__					:				List[Any]	=				merge_two_binary_trees(treea, treea)
		print("""Merged Tree is: """)
		print_preorder(merged_tree)










"""simple docstring"""


from __future__ import annotations

def     UpperCamelCase       (SCREAMING_SNAKE_CASE    ):
						UpperCamelCase							:		Tuple							      = [0] * max_one

						for i in range(0       ,    SCREAMING_SNAKE_CASE    ):
												UpperCamelCase							:		Union[str, Any]							      = i

						for i in range(2       ,    SCREAMING_SNAKE_CASE    ):
												if totients[i] == i:
																		for j in range(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE    ):
																								totients[j] -= totients[j] // i

						return totients

def     UpperCamelCase       (SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE    ):
						return sorted(str(SCREAMING_SNAKE_CASE    )    ) == sorted(str(SCREAMING_SNAKE_CASE    )    )

def     UpperCamelCase       (SCREAMING_SNAKE_CASE = 1000_0000    ):
						UpperCamelCase							:		List[str]							      = 1  # i
						UpperCamelCase							:		Optional[int]							      = 0  # φ(i)
						UpperCamelCase							:		List[str]							      = get_totients(max_n + 1    )

						for i in range(2       ,    max_n + 1    ):
												UpperCamelCase							:		Tuple							      = totients[i]

												if i * min_denominator < min_numerator * t and has_same_digits(SCREAMING_SNAKE_CASE       ,    SCREAMING_SNAKE_CASE    ):
																		UpperCamelCase							:		str							      = i
																		UpperCamelCase							:		Tuple							      = t

						return min_numerator


if __name__ == "__main__":
		print(f'''{solution() = }''')



