class 		a__						:

					def __init__(   self				:	Tuple,_A				:	int   ):







							"""simple docstring"""






							SCREAMING_SNAKE_CASE_  :		Tuple    				=   data
							SCREAMING_SNAKE_CASE_  :		int
							SCREAMING_SNAKE_CASE_  :		Node







def 				_snake_case     (       lowerCAmelCase							:       Node     ):
		"""simple docstring"""







		SCREAMING_SNAKE_CASE_  :		Dict    				=   0
		SCREAMING_SNAKE_CASE_  :		Union[str, Any]    				=   x




def 				_snake_case     (       lowerCAmelCase							:       Node       ,			lowerCAmelCase							:       Node     ):
		"""simple docstring"""







		SCREAMING_SNAKE_CASE_				,   SCREAMING_SNAKE_CASE_  :		Dict    				=   find_set(lowerCAmelCase     ), find_set(lowerCAmelCase     )
		if x == y:
				return

		elif x.rank > y.rank:
				SCREAMING_SNAKE_CASE_  :		int    				=   x
		else:
				SCREAMING_SNAKE_CASE_  :		Optional[Any]    				=   y
				if x.rank == y.rank:
						y.rank += 1




def 				_snake_case     (       lowerCAmelCase							:       Node     ):
		"""simple docstring"""







		if x != x.parent:
				SCREAMING_SNAKE_CASE_  :		List[Any]    				=   find_set(x.parent     )
		return x.parent




def 				_snake_case     (       lowerCAmelCase							:       Node     ):
		"""simple docstring"""







		SCREAMING_SNAKE_CASE_  :		List[str]    				=   ({0, 1, 2}, {3, 4, 5})
		for s in sets:
				if node.data in s:
						return s
		SCREAMING_SNAKE_CASE_  :		int    				=   f'{node.data} is not in {sets}'
		raise ValueError(lowerCAmelCase     )




def 				_snake_case     (       ):
		"""simple docstring"""







		SCREAMING_SNAKE_CASE_  :		Dict    				=   [Node(lowerCAmelCase     ) for i in range(6     )]
		for v in vertex:
				make_set(lowerCAmelCase     )

		union_set(vertex[0]       ,			vertex[1]     )
		union_set(vertex[1]       ,			vertex[2]     )
		union_set(vertex[3]       ,			vertex[4]     )
		union_set(vertex[3]       ,			vertex[5]     )

		for nodea in vertex:
				for nodea in vertex:
						if find_python_set(lowerCAmelCase     ).isdisjoint(find_python_set(lowerCAmelCase     )     ):
								assert find_set(lowerCAmelCase     ) != find_set(lowerCAmelCase     )
						else:
								assert find_set(lowerCAmelCase     ) == find_set(lowerCAmelCase     )


if __name__ == "__main__":
		test_disjoint_set()

from __future__ import annotations






class 		a__						:

					def __init__(   self				:	Union[str, Any],_A				:	int   ):







							"""simple docstring"""






							SCREAMING_SNAKE_CASE_  :		List[Any]    				=   value
							SCREAMING_SNAKE_CASE_  :		Node | None    				=   None
							SCREAMING_SNAKE_CASE_  :		Node | None    				=   None







class 		a__						:
					A     	=							42

					def __init__(   self				:	Optional[Any]   ):







							"""simple docstring"""






							SCREAMING_SNAKE_CASE_  :		List[str]    				=   0

					def     __UpperCamelCase       (   self				:	List[Any],_A				:	Node | None,_A				:	int   ):







							"""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				:	List[str],_A				:	Node | None,_A				:	int | None = None   ):







							"""simple docstring"""






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

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

							return self.paths


if __name__ == "__main__":
		import doctest

		doctest.testmod()
