'''simple docstring'''





from collections.abc import Iterable
from typing import Any




class 		SCREAMING_SNAKE_CASE     :







				'''simple docstring'''





				def __init__(						self					:						str       ,		lowercase__					:						int | None = None					)							->int:


										'''simple docstring'''




										_UpperCamelCase			:			Dict   			=						value
										_UpperCamelCase			:			Node | None   			=						None  # Added in order to delete a node easier
										_UpperCamelCase			:			Node | None   			=						None
										_UpperCamelCase			:			Node | None   			=						None







				def __repr__(						self					:						List[Any]					)							->str:


										'''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 		SCREAMING_SNAKE_CASE     :







				'''simple docstring'''





				def __init__(						self					:						Optional[Any]       ,		lowercase__					:						Node | None = None					)							->str:


										'''simple docstring'''




										_UpperCamelCase			:			str   			=						root





				def __str__(						self					:						Any					)							->str:


										'''simple docstring'''




										return str(self.root					)





				def  snake_case__				(						self					:						Dict       ,		lowercase__					:						Node       ,		lowercase__					:						Node | None					)							->None:


										'''simple docstring'''




										if new_children is not None:  # reset its kids
																_UpperCamelCase			:			List[str]   			=						node.parent
										if node.parent is not None:  # reset its parent
																if self.is_right(lowercase__					):  # If it is the right children
																						_UpperCamelCase			:			Optional[Any]   			=						new_children
																else:
																						_UpperCamelCase			:			Tuple   			=						new_children
										else:
																_UpperCamelCase			:			Dict   			=						new_children





				def  snake_case__				(						self					:						List[Any]       ,		lowercase__					:						Node					)							->bool:


										'''simple docstring'''




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





				def  snake_case__				(						self					:						Union[str, Any]					)							->bool:


										'''simple docstring'''




										return self.root is None





				def  snake_case__				(						self					:						Optional[Any]       ,		lowercase__					:						Optional[Any]					)							->None:


										'''simple docstring'''




										_UpperCamelCase			:			Optional[int]   			=						Node(lowercase__					)  # create a new Node
										if self.empty():  # if Tree is empty
																_UpperCamelCase			:			int   			=						new_node  # set its root
										else:  # Tree is not empty
																_UpperCamelCase			:			int   			=						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:
																																		_UpperCamelCase			:			List[Any]   			=						new_node  # We insert the new node in a leaf
																																		break
																												else:
																																		_UpperCamelCase			:			Optional[int]   			=						parent_node.left
																						else:
																												if parent_node.right is None:
																																		_UpperCamelCase			:			int   			=						new_node
																																		break
																												else:
																																		_UpperCamelCase			:			Tuple   			=						parent_node.right
																_UpperCamelCase			:			Tuple   			=						parent_node





				def  snake_case__				(						self					:						int       ,		*lowercase__					:						List[str]					)							->None:


										'''simple docstring'''




										for value in values:
																self.__insert(lowercase__					)





				def  snake_case__				(						self					:						Tuple       ,		lowercase__					:						Optional[int]					)							->Node | None:


										'''simple docstring'''




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





				def  snake_case__				(						self					:						Any       ,		lowercase__					:						Node | None = None					)							->Node | None:


										'''simple docstring'''




										if node is None:
																if self.root is None:
																						return None
																_UpperCamelCase			:			List[Any]   			=						self.root

										if not self.empty():
																while node.right is not None:
																						_UpperCamelCase			:			int   			=						node.right
										return node





				def  snake_case__				(						self					:						Dict       ,		lowercase__					:						Node | None = None					)							->Node | None:


										'''simple docstring'''




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





				def  snake_case__				(						self					:						List[Any]       ,		lowercase__					:						int					)							->None:


										'''simple docstring'''




										_UpperCamelCase			:			List[Any]   			=						self.search(lowercase__					)  # 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(lowercase__       ,		lowercase__					)
																elif node.left is None:  # Has only right children
																						self.__reassign_nodes(lowercase__       ,		node.right					)
																elif node.right is None:  # Has only left children
																						self.__reassign_nodes(lowercase__       ,		node.left					)
																else:
																						_UpperCamelCase			:			Any   			=						self.get_max(
																						    node.left					)  # Gets the max value of the left branch
																						self.remove(tmp_node.value					)  # type: ignore
																						_UpperCamelCase			:			Dict   			=						(
																						    tmp_node.value  # type: ignore
																						)  # Assigns the value to the node to delete and keep tree structure





				def  snake_case__				(						self					:						Optional[int]       ,		lowercase__					:						Node | None					)							->Iterable:


										'''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  snake_case__				(						self					:						Any       ,		lowercase__					:						str=None					)							->Any:


										'''simple docstring'''




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





				def  snake_case__				(						self					:						str       ,		lowercase__					:						list       ,		lowercase__					:						Node | None					)							->None:


										'''simple docstring'''




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







				def  snake_case__				(						self					:						str       ,		lowercase__					:						int       ,		lowercase__					:						Node					)							->int:


										'''simple docstring'''




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





def 						__A							(     UpperCAmelCase					)     ->			list[Node]:




						'''simple docstring'''
						_UpperCamelCase			:			Optional[Any]   			=						[]
						if curr_node is not None:
												_UpperCamelCase			:			Optional[int]   			=						postorder(curr_node.left					) + postorder(curr_node.right					) + [curr_node]
						return node_list
def 						__A							(     )     ->			None:




						'''simple docstring'''
						_UpperCamelCase			:			Dict   			=						(8, 3, 6, 1, 1_0, 1_4, 1_3, 4, 7)
						_UpperCamelCase			:			int   			=						BinarySearchTree()
						for i in testlist:
												t.insert(UpperCAmelCase					)

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

						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(UpperCAmelCase					)
												print(UpperCAmelCase					)


if __name__ == "__main__":
			import doctest

			doctest.testmod(verbose=True)



'''simple docstring'''





lowerCAmelCase_	:		Union[str, Any]			=     """
# Transformers 설치 방법
! pip install transformers datasets
# 마지막 릴리스 대신 소스에서 설치하려면, 위 명령을 주석으로 바꾸고 아래 명령을 해제하세요.
# ! pip install git+https://github.com/huggingface/transformers.git
"""

lowerCAmelCase_	:		List[Any]			=     [{"""type""": """code""", """content""": INSTALL_CONTENT}]
lowerCAmelCase_	:		int			=     {
    """{processor_class}""": """FakeProcessorClass""",
    """{model_class}""": """FakeModelClass""",
    """{object_class}""": """FakeObjectClass""",
}


