




class 						UpperCAmelCase  :







						'''simple docstring'''





						def __init__(		self				:	Any			,      __lowercase				:	int			,      __lowercase				:	Any=None			,      __lowercase				:	Dict=None		):






							"""simple docstring"""






							snake_case_						       =	data
							snake_case_						       =	previous
							snake_case_						       =	next_node






						def __str__(		self				:	List[str]		):






							"""simple docstring"""






							return f"{self.data}"






						def 			snake_case__		(		self				:	List[Any]		):






							"""simple docstring"""






							return self.data






						def 			snake_case__		(		self				:	Optional[int]		):






							"""simple docstring"""






							return self.next






						def 			snake_case__		(		self				:	str		):






							"""simple docstring"""






							return self.previous







class 						UpperCAmelCase  :







						'''simple docstring'''





						def __init__(		self				:	List[str]			,      __lowercase				:	Tuple		):






							"""simple docstring"""






							snake_case_						       =	head






						def __iter__(		self				:	List[str]		):






							"""simple docstring"""






							return self






						def 			snake_case__		(		self				:	Tuple		):






							"""simple docstring"""






							if not self.current:
								raise StopIteration
							else:
								snake_case_						       =	self.current.get_data()
								snake_case_						       =	self.current.get_next()
								return value







class 						UpperCAmelCase  :







						'''simple docstring'''





						def __init__(		self				:	str		):






							"""simple docstring"""






							snake_case_						       =	None  # First node in list
							snake_case_						       =	None  # Last node in list






						def __str__(		self				:	Optional[int]		):






							"""simple docstring"""






							snake_case_						       =	self.head
							snake_case_						       =	[]
							while current is not None:
								nodes.append(current.get_data()		)
								snake_case_						       =	current.get_next()
							return " ".join(str(__lowercase		) for node in nodes		)






						def __contains__(		self				:	str			,      __lowercase				:	int		):






							"""simple docstring"""






							snake_case_						       =	self.head
							while current:
								if current.get_data() == value:
									return True
								snake_case_						       =	current.get_next()
							return False






						def __iter__(		self				:	List[str]		):






							"""simple docstring"""






							return LinkedListIterator(self.head		)






						def 			snake_case__		(		self				:	List[str]		):






							"""simple docstring"""






							if self.head:
								return self.head.get_data()
							return None






						def 			snake_case__		(		self				:	Tuple		):






							"""simple docstring"""






							if self.tail:
								return self.tail.get_data()
							return None






						def 			snake_case__		(		self				:	Tuple			,      __lowercase				:	Node		):






							"""simple docstring"""






							if self.head is None:
								snake_case_						       =	node
								snake_case_						       =	node
							else:
								self.insert_before_node(self.head			,      __lowercase		)






						def 			snake_case__		(		self				:	Optional[Any]			,      __lowercase				:	Node		):






							"""simple docstring"""






							if self.head is None:
								self.set_head(__lowercase		)
							else:
								self.insert_after_node(self.tail			,      __lowercase		)






						def 			snake_case__		(		self				:	Union[str, Any]			,      __lowercase				:	int		):






							"""simple docstring"""






							snake_case_						       =	Node(__lowercase		)
							if self.head is None:
								self.set_head(__lowercase		)
							else:
								self.set_tail(__lowercase		)






						def 			snake_case__		(		self				:	List[str]			,      __lowercase				:	Node			,      __lowercase				:	Node		):






							"""simple docstring"""






							snake_case_						       =	node
							snake_case_						       =	node.previous

							if node.get_previous() is None:
								snake_case_						       =	node_to_insert
							else:
								snake_case_						       =	node_to_insert

							snake_case_						       =	node_to_insert






						def 			snake_case__		(		self				:	str			,      __lowercase				:	Node			,      __lowercase				:	Node		):






							"""simple docstring"""






							snake_case_						       =	node
							snake_case_						       =	node.next

							if node.get_next() is None:
								snake_case_						       =	node_to_insert
							else:
								snake_case_						       =	node_to_insert

							snake_case_						       =	node_to_insert






						def 			snake_case__		(		self				:	List[str]			,      __lowercase				:	int			,      __lowercase				:	int		):






							"""simple docstring"""






							snake_case_						       =	1
							snake_case_						       =	Node(__lowercase		)
							snake_case_						       =	self.head
							while node:
								if current_position == position:
									self.insert_before_node(__lowercase			,      __lowercase		)
									return
								current_position += 1
								snake_case_						       =	node.next
							self.insert_after_node(self.tail			,      __lowercase		)






						def 			snake_case__		(		self				:	str			,      __lowercase				:	int		):






							"""simple docstring"""






							snake_case_						       =	self.head
							while node:
								if node.get_data() == item:
									return node
								snake_case_						       =	node.get_next()
							raise Exception("Node not found"		)






						def 			snake_case__		(		self				:	Optional[int]			,      __lowercase				:	Dict		):






							"""simple docstring"""






							if (node := self.get_node(__lowercase		)) is not None:
								if node == self.head:
									snake_case_						       =	self.head.get_next()

								if node == self.tail:
									snake_case_						       =	self.tail.get_previous()

								self.remove_node_pointers(__lowercase		)






						@staticmethod
						def 			snake_case__		(		__lowercase				:	Node		):






							"""simple docstring"""






							if node.get_next():
								snake_case_						       =	node.previous

							if node.get_previous():
								snake_case_						       =	node.next

							snake_case_						       =	None
							snake_case_						       =	None






						def 			snake_case__		(		self				:	Any		):






							"""simple docstring"""






							return self.head is None







def 		lowerCamelCase__       (						):







	'''simple docstring'''







if __name__ == "__main__":
		import doctest

		doctest.testmod()






from __future__ import annotations

from dataclasses import dataclass
@dataclass
class 						UpperCAmelCase  :







						'''simple docstring'''





						lowerCAmelCase_							=  42
						lowerCAmelCase_							=  None
						lowerCAmelCase_							=  None







def 		lowerCamelCase__       (						_A				):







	'''simple docstring'''





	def is_valid_tree(_A				) -> bool:
		if node is None:
			return True

		if not isinstance(_A	,      _A				):
			return False

		try:
			float(node.data				)
		except (TypeError, ValueError):
			return False

		return is_valid_tree(node.left				) and is_valid_tree(node.right				)

	if not is_valid_tree(_A				):
		raise ValueError(
		    "Each node should be type of TreeNode and data should be float."				)

	def is_binary_search_tree_recursive_check(
	    _A	,      _A	,      _A				) -> bool:

		if node is None:
			return True

		return (
		    left_bound < node.data < right_bound
		    and is_binary_search_tree_recursive_check(node.left	,      _A	,      node.data				)
		    and is_binary_search_tree_recursive_check(
		        node.right	,      node.data	,      _A				)
		)

	return is_binary_search_tree_recursive_check(_A	,      -float("inf"				)	,      float("inf"				)				)


if __name__ == "__main__":
		import doctest

		doctest.testmod()
