



"""simple docstring"""
class 				lowerCamelCase_:





					'''simple docstring'''



					def __init__(     self					,							lowerCamelCase__					,							lowerCamelCase__=None					,							lowerCamelCase__=None ):
									_lowerCamelCase   	=					data
									_lowerCamelCase   	=					previous
									_lowerCamelCase   	=					next_node

					def __str__(     self ):
									return F"""{self.data}"""

					def       snake_case__   (     self ):
									return self.data

					def       snake_case__   (     self ):
									return self.next





					def       snake_case__   (     self ):
									return self.previous


class 				lowerCamelCase_:





					'''simple docstring'''



					def __init__(     self					,							lowerCamelCase__ ):
									_lowerCamelCase   	=					head

					def __iter__(     self ):
									return self





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


class 				lowerCamelCase_:





					'''simple docstring'''



					def __init__(     self ):
									_lowerCamelCase   	=					None  # First node in list
									_lowerCamelCase   	=					None  # Last node in list

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

					def __contains__(     self					,							lowerCamelCase__ ):
									_lowerCamelCase   	=					self.head
									while current:
													if current.get_data() == value:
																	return True
													_lowerCamelCase   	=					current.get_next()
									return False

					def __iter__(     self ):
									return LinkedListIterator(self.head )

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

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

					def       snake_case__   (     self					,							lowerCamelCase__ ):
									if self.head is None:
													_lowerCamelCase   	=					node
													_lowerCamelCase   	=					node
									else:
													self.insert_before_node(self.head					,							_a )

					def       snake_case__   (     self					,							lowerCamelCase__ ):
									if self.head is None:
													self.set_head(_a )
									else:
													self.insert_after_node(self.tail					,							_a )

					def       snake_case__   (     self					,							lowerCamelCase__ ):
									_lowerCamelCase   	=					Node(_a )
									if self.head is None:
													self.set_head(_a )
									else:
													self.set_tail(_a )

					def       snake_case__   (     self					,							lowerCamelCase__					,							lowerCamelCase__ ):
									_lowerCamelCase   	=					node
									_lowerCamelCase   	=					node.previous

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

									_lowerCamelCase   	=					node_to_insert

					def       snake_case__   (     self					,							lowerCamelCase__					,							lowerCamelCase__ ):
									_lowerCamelCase   	=					node
									_lowerCamelCase   	=					node.next

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

									_lowerCamelCase   	=					node_to_insert

					def       snake_case__   (     self					,							lowerCamelCase__					,							lowerCamelCase__ ):
									_lowerCamelCase   	=					1
									_lowerCamelCase   	=					Node(_a )
									_lowerCamelCase   	=					self.head
									while node:
													if current_position == position:
																	self.insert_before_node(_a					,							_a )
																	return
													current_position += 1
													_lowerCamelCase   	=					node.next
									self.insert_after_node(self.tail					,							_a )

					def       snake_case__   (     self					,							lowerCamelCase__ ):
									_lowerCamelCase   	=					self.head
									while node:
													if node.get_data() == item:
																	return node
													_lowerCamelCase   	=					node.get_next()
									raise Exception('''Node not found''' )

					def       snake_case__   (     self					,							lowerCamelCase__ ):
									if (node := self.get_node(_a )) is not None:
													if node == self.head:
																	_lowerCamelCase   	=					self.head.get_next()

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

													self.remove_node_pointers(_a )

					@staticmethod
					def       snake_case__   (     lowerCamelCase__ ):
									if node.get_next():
													_lowerCamelCase   	=					node.previous

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

									_lowerCamelCase   	=					None
									_lowerCamelCase   	=					None





					def       snake_case__   (     self ):
									return self.head is None



def 							lowerCAmelCase_( )						->							None:
				pass



if __name__ == "__main__":
			import doctest

			doctest.testmod()



from __future__ import annotations

from dataclasses import dataclass

@dataclass
class 							UpperCAmelCase_						:
							"""simple docstring"""







							UpperCAmelCase__			:		float
							UpperCAmelCase__			:		TreeNode | None             =       None
							UpperCAmelCase__			:		TreeNode | None             =       None



def   __UpperCAmelCase					(      __a :     TreeNode | None      )     ->	bool:

					"""simple docstring"""

					def is_valid_tree(__a :     TreeNode | None      ) -> 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 :     TreeNode | None						,__a :     float						,__a :     float      ) -> 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()



