



'''simple docstring'''

def     __UpperCamelCase					(				_lowercase       )			->      tuple[int, int]:
	# base case
	if len(_lowercase       ) == 1:
		return a[0], a[0]
	else:
		# split A into half.
		_lowercase       :							Union[str, Any]  	=		a[: len(_lowercase       ) // 2]
		_lowercase       :							str  	=		a[len(_lowercase       ) // 2 :]

		# 2 sub problems, 1/2 of original size.
		_lowercase	,     _lowercase       :							List[Any]  	=		max_difference(_lowercase       )
		_lowercase	,     _lowercase       :							Dict  	=		max_difference(_lowercase       )

		# get min of first and max of second
		# linear time
		_lowercase       :							List[str]  	=		min(_lowercase       )
		_lowercase       :							Optional[int]  	=		max(_lowercase       )

		# 3 cases, either (small1, big1),
		# (min_first, max_second), (small2, big2)
		# constant comparisons
		if biga - smalla > max_second - min_first and biga - smalla > biga - smalla:
			return smalla, biga
		elif biga - smalla > max_second - min_first:
			return smalla, biga
		else:
			return min_first, max_second


if __name__ == "__main__":
		import doctest

		doctest.testmod()





'''simple docstring'''

from __future__ import annotations



class 		lowerCamelCase__   :




					'''simple docstring'''



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



						'''simple docstring'''





						_lowercase       :							Any  	=		value
						_lowercase       :							Node | None  	=		None
						_lowercase       :							Node | None  	=		None






class 		lowerCamelCase__   :




					'''simple docstring'''



					A_         =    42




					def __init__(	self					:						List[Any]       )	->							None:



						'''simple docstring'''





						_lowercase       :							Optional[int]  	=		0




					def     __UpperCAmelCase  (	self					:						str  ,	UpperCamelCase_					:						Node | None  ,	UpperCamelCase_					:						int       )	->							None:



						'''simple docstring'''





						if node is None:
							return

						if path_sum == self.target:
							self.paths += 1

						if node.left:
							self.depth_first_search(node.left  ,	path_sum + node.left.value       )
						if node.right:
							self.depth_first_search(node.right  ,	path_sum + node.right.value       )




					def     __UpperCAmelCase  (	self					:						Optional[int]  ,	UpperCamelCase_					:						Node | None  ,	UpperCamelCase_					:						int | None = None       )	->							int:



						'''simple docstring'''





						if node is None:
							return 0
						if target is not None:
							_lowercase       :							Union[str, Any]  	=		target

						self.depth_first_search(UpperCamelCase_  ,	node.value       )
						self.path_sum(node.left       )
						self.path_sum(node.right       )

						return self.paths


if __name__ == "__main__":
		import doctest

		doctest.testmod()
