




from __future__ import annotations







class 				UpperCAmelCase:



	"""simple docstring"""






	def __init__(					self	,				lowerCamelCase    ) ->      None:





								"""simple docstring"""


								lowercase__  :	str        =							value
								lowercase__  :	Node | None        =							None
								lowercase__  :	Node | None        =							None







class 				UpperCAmelCase:



	"""simple docstring"""






	a     : int

	def __init__(					self    ) ->      None:





								"""simple docstring"""


								lowercase__  :	Dict        =							0

	def    __a     (					self	,				lowerCamelCase	,				lowerCamelCase    ) ->      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    __a     (					self	,				lowerCamelCase	,				lowerCamelCase = None    ) ->      int:





								"""simple docstring"""


								if node is None:
															return 0
								if target is not None:
															lowercase__  :	Tuple        =							target

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

								return self.paths


if __name__ == "__main__":
						import doctest

						doctest.testmod()





def  snake_case_					(		SCREAMING_SNAKE_CASE_    )      ->			list:
							lowercase__  :	Optional[Any]        =							len(SCREAMING_SNAKE_CASE_    )

							# Set the gap value to be decreased by a factor of 1.3
							# after each iteration
							lowercase__  :	Tuple        =							1.3

							# Continue sorting until the gap is 1
							while gap > 1:
														# Decrease the gap value
														lowercase__  :	Tuple        =							int(gap / shrink    )

														# Sort the elements using insertion sort
														for i in range(SCREAMING_SNAKE_CASE_    ,len(SCREAMING_SNAKE_CASE_    )    ):
																					lowercase__  :	int        =							collection[i]
																					lowercase__  :	Union[str, Any]        =							i
																					while j >= gap and collection[j - gap] > temp:
																												lowercase__  :	str        =							collection[j - gap]
																												j -= gap
																					lowercase__  :	List[Any]        =							temp

							return collection


if __name__ == "__main__":
						import doctest

						doctest.testmod()