



from collections.abc import Iterable
from typing import Any

class    snake_case__				:







						"""simple docstring"""




						def __init__(   self					,   __lowercase = None  )					->      Tuple:
									"""simple docstring"""




									a__   :						Tuple						       =  value
									a__   :						Any						       =  None  # Added in order to delete a node easier
									a__   :						Union[str, Any]						       =  None
									a__   :						List[Any]						       =  None

						def __repr__(   self  )					->      Dict:
									"""simple docstring"""




									from pprint import pformat

									if self.left is None and self.right is None:
												return str(self.value  )
									return pformat({F'''{self.value}''': (self.left, self.right)}					,   indent=1  )




class    snake_case__				:







						"""simple docstring"""




						def __init__(   self					,   __lowercase = None  )					->      List[Any]:
									"""simple docstring"""




									a__   :						Dict						       =  root

						def __str__(   self  )					->      Tuple:
									"""simple docstring"""




									return str(self.root  )

						def 							SCREAMING_SNAKE_CASE__(   self					,   __lowercase					,   __lowercase  )					->      str:
									"""simple docstring"""




									if new_children is not None:  # reset its kids
												a__   :						List[str]						       =  node.parent
									if node.parent is not None:  # reset its parent
												if self.is_right(_snake_case  ):  # If it is the right children
															a__   :						Dict						       =  new_children
												else:
															a__   :						Union[str, Any]						       =  new_children
									else:
												a__   :						str						       =  new_children

						def 							SCREAMING_SNAKE_CASE__(   self					,   __lowercase  )					->      str:
									"""simple docstring"""




									if node.parent and node.parent.right:
												return node == node.parent.right
									return False

						def 							SCREAMING_SNAKE_CASE__(   self  )					->      Tuple:
									"""simple docstring"""




									return self.root is None

						def 							SCREAMING_SNAKE_CASE__(   self					,   __lowercase  )					->      Dict:
									"""simple docstring"""




									a__   :						Optional[Any]						       =  Node(_snake_case  )  # create a new Node
									if self.empty():  # if Tree is empty
												a__   :						Any						       =  new_node  # set its root
									else:  # Tree is not empty
												a__   :						List[str]						       =  self.root  # from root
												if parent_node is None:
															return
												while True:  # While we don't get to a leaf
															if value < parent_node.value:  # We go left
																		if parent_node.left is None:
																					a__   :						List[Any]						       =  new_node  # We insert the new node in a leaf
																					break
																		else:
																					a__   :						List[Any]						       =  parent_node.left
															else:
																		if parent_node.right is None:
																					a__   :						Any						       =  new_node
																					break
																		else:
																					a__   :						List[Any]						       =  parent_node.right
												a__   :						List[Any]						       =  parent_node

						def 							SCREAMING_SNAKE_CASE__(   self					,   *__lowercase  )					->      Any:
									"""simple docstring"""




									for value in values:
												self.__insert(_snake_case  )

						def 							SCREAMING_SNAKE_CASE__(   self					,   __lowercase  )					->      Any:
									"""simple docstring"""




									if self.empty():
												raise IndexError("""Warning: Tree is empty! please use another."""  )
									else:
												a__   :						Tuple						       =  self.root
												# use lazy evaluation here to avoid NoneType Attribute error
												while node is not None and node.value is not value:
															a__   :						Optional[int]						       =  node.left if value < node.value else node.right
												return node

						def 							SCREAMING_SNAKE_CASE__(   self					,   __lowercase = None  )					->      int:
									"""simple docstring"""




									if node is None:
												if self.root is None:
															return None
												a__   :						Optional[Any]						       =  self.root

									if not self.empty():
												while node.right is not None:
															a__   :						Any						       =  node.right
									return node

						def 							SCREAMING_SNAKE_CASE__(   self					,   __lowercase = None  )					->      Tuple:
									"""simple docstring"""




									if node is None:
												a__   :						Dict						       =  self.root
									if self.root is None:
												return None
									if not self.empty():
												a__   :						Optional[int]						       =  self.root
												while node.left is not None:
															a__   :						Tuple						       =  node.left
									return node

						def 							SCREAMING_SNAKE_CASE__(   self					,   __lowercase  )					->      List[str]:
									"""simple docstring"""




									a__   :						List[str]						       =  self.search(_snake_case  )  # Look for the node with that label
									if node is not None:
												if node.left is None and node.right is None:  # If it has no children
															self.__reassign_nodes(_snake_case					,   _snake_case  )
												elif node.left is None:  # Has only right children
															self.__reassign_nodes(_snake_case					,   node.right  )
												elif node.right is None:  # Has only left children
															self.__reassign_nodes(_snake_case					,   node.left  )
												else:
															a__   :						Optional[Any]						       =  self.get_max(
															    node.left  )  # Gets the max value of the left branch
															self.remove(tmp_node.value  )  # type: ignore
															a__   :						Union[str, Any]						       =  (
															    tmp_node.value  # type: ignore
															)  # Assigns the value to the node to delete and keep tree structure

						def 							SCREAMING_SNAKE_CASE__(   self					,   __lowercase  )					->      int:
									"""simple docstring"""




									if node is not None:
												yield node  # Preorder Traversal
												yield from self.preorder_traverse(node.left  )
												yield from self.preorder_traverse(node.right  )

						def 							SCREAMING_SNAKE_CASE__(   self					,   __lowercase=None  )					->      str:
									"""simple docstring"""




									if traversal_function is None:
												return self.preorder_traverse(self.root  )
									else:
												return traversal_function(self.root  )

						def 							SCREAMING_SNAKE_CASE__(   self					,   __lowercase					,   __lowercase  )					->      str:
									"""simple docstring"""




									if node:
												self.inorder(_snake_case					,   node.left  )
												arr.append(node.value  )
												self.inorder(_snake_case					,   node.right  )

						def 							SCREAMING_SNAKE_CASE__(   self					,   __lowercase					,   __lowercase  )					->      Union[str, Any]:
									"""simple docstring"""




									a__   :						int						       =  []
									self.inorder(_snake_case					,   _snake_case  )  # append all values to list using inorder traversal
									return arr[k - 1]




def 	lowerCAmelCase_     (  _lowercase				:   Node | None)							->       list[Node]:







			"""simple docstring"""
			a__   :						List[Any]						       =  []
			if curr_node is not None:
						a__   :						List[str]						       =  postorder(curr_node.left) + postorder(curr_node.right) + [curr_node]
			return node_list

def 	lowerCAmelCase_     (  )							->       None:







			"""simple docstring"""
			a__   :						Any						       =  (8, 3, 6, 1, 10, 14, 13, 4, 7)
			a__   :						Any						       =  BinarySearchTree()
			for i in testlist:
						t.insert(__A)

			# Prints all the elements of the list in order traversal
			print(__A)

			if t.search(6) is not None:
						print("""The value 6 exists""")
			else:
						print("""The value 6 doesn\'t exist""")

			if t.search(-1) is not None:
						print("""The value -1 exists""")
			else:
						print("""The value -1 doesn\'t exist""")

			if not t.empty():
						print("""Max Value: """						,   t.get_max().value)  # type: ignore
						print("""Min Value: """						,   t.get_min().value)  # type: ignore

			for i in testlist:
						t.remove(__A)
						print(__A)


if __name__ == "__main__":
		import doctest

		doctest.testmod(verbose=True)










from diffusers.utils.testing_utils import require_onnxruntime







@require_onnxruntime
class __snake_case			:
   pass






