






from collections.abc import Iterable
from typing import Any


class   __SCREAMING_SNAKE_CASE:
							def __init__(     self:      Optional[int]       ,	UpperCamelCase:      int | None = None						)		->		Any:
											snake_case__									=     value
											snake_case__									=     None  # Added in order to delete a node easier
											snake_case__									=     None
											snake_case__									=     None


							def __repr__(     self:      Optional[int]						)		->		str:
											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:
							def __init__(     self:      Tuple       ,	UpperCamelCase:      Node | None = None						)		->		Union[str, Any]:
											snake_case__									=     root
							def __str__(     self:      Union[str, Any]						)		->		str:
											return str(self.root						)
							def lowerCAmelCase_ (     self:      int       ,	UpperCamelCase:      Node       ,	UpperCamelCase:      Node | None						)		->		None:
											if new_children is not None:  # reset its kids
															snake_case__									=     node.parent
											if node.parent is not None:  # reset its parent
															if self.is_right(UpperCamelCase						):  # If it is the right children
																			snake_case__									=     new_children
															else:
																			snake_case__									=     new_children
											else:
															snake_case__									=     new_children
							def lowerCAmelCase_ (     self:      List[str]       ,	UpperCamelCase:      Node						)		->		bool:
											if node.parent and node.parent.right:
															return node == node.parent.right
											return False
							def lowerCAmelCase_ (     self:      str						)		->		bool:
											return self.root is None
							def lowerCAmelCase_ (     self:      Optional[int]       ,	UpperCamelCase:      List[Any]						)		->		None:
											snake_case__									=     Node(UpperCamelCase						)  # create a new Node
											if self.empty():  # if Tree is empty
															snake_case__									=     new_node  # set its root
											else:  # Tree is not empty
															snake_case__									=     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:
																											snake_case__									=     new_node  # We insert the new node in a leaf
																											break
																							else:
																											snake_case__									=     parent_node.left
																			else:
																							if parent_node.right is None:
																											snake_case__									=     new_node
																											break
																							else:
																											snake_case__									=     parent_node.right
															snake_case__									=     parent_node
							def lowerCAmelCase_ (     self:      Any       ,	*UpperCamelCase:      Tuple						)		->		None:
											for value in values:
															self.__insert(UpperCamelCase						)
							def lowerCAmelCase_ (     self:      Dict       ,	UpperCamelCase:      Optional[Any]						)		->		Node | None:
											if self.empty():
															raise IndexError('Warning: Tree is empty! please use another.'						)
											else:
															snake_case__									=     self.root
															# use lazy evaluation here to avoid NoneType Attribute error
															while node is not None and node.value is not value:
																			snake_case__									=     node.left if value < node.value else node.right
															return node
							def lowerCAmelCase_ (     self:      Any       ,	UpperCamelCase:      Node | None = None						)		->		Node | None:
											if node is None:
															if self.root is None:
																			return None
															snake_case__									=     self.root

											if not self.empty():
															while node.right is not None:
																			snake_case__									=     node.right
											return node
							def lowerCAmelCase_ (     self:      Optional[Any]       ,	UpperCamelCase:      Node | None = None						)		->		Node | None:
											if node is None:
															snake_case__									=     self.root
											if self.root is None:
															return None
											if not self.empty():
															snake_case__									=     self.root
															while node.left is not None:
																			snake_case__									=     node.left
											return node
							def lowerCAmelCase_ (     self:      List[str]       ,	UpperCamelCase:      int						)		->		None:
											snake_case__									=     self.search(UpperCamelCase						)  # 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(UpperCamelCase       ,	UpperCamelCase						)
															elif node.left is None:  # Has only right children
																			self.__reassign_nodes(UpperCamelCase       ,	node.right						)
															elif node.right is None:  # Has only left children
																			self.__reassign_nodes(UpperCamelCase       ,	node.left						)
															else:
																			snake_case__									=     self.get_max(
																			    node.left						)  # Gets the max value of the left branch
																			self.remove(tmp_node.value						)  # type: ignore
																			snake_case__									=     (
																			    tmp_node.value  # type: ignore
																			)  # Assigns the value to the node to delete and keep tree structure
							def lowerCAmelCase_ (     self:      Tuple       ,	UpperCamelCase:      Node | None						)		->		Iterable:
											if node is not None:
															yield node  # Preorder Traversal
															yield from self.preorder_traverse(node.left						)
															yield from self.preorder_traverse(node.right						)
							def lowerCAmelCase_ (     self:      Any       ,	UpperCamelCase:      int=None						)		->		Any:
											if traversal_function is None:
															return self.preorder_traverse(self.root						)
											else:
															return traversal_function(self.root						)
							def lowerCAmelCase_ (     self:      Tuple       ,	UpperCamelCase:      list       ,	UpperCamelCase:      Node | None						)		->		None:
											if node:
															self.inorder(UpperCamelCase       ,	node.left						)
															arr.append(node.value						)
															self.inorder(UpperCamelCase       ,	node.right						)


							def lowerCAmelCase_ (     self:      Union[str, Any]       ,	UpperCamelCase:      int       ,	UpperCamelCase:      Node						)		->		int:
											snake_case__									=     []
											self.inorder(UpperCamelCase       ,	UpperCamelCase						)  # append all values to list using inorder traversal
											return arr[k - 1]


def      a_ (      _A  )			->			list[Node]:







				"""simple docstring"""
				snake_case__									=     []
				if curr_node is not None:
								snake_case__									=     postorder(curr_node.left  ) + postorder(curr_node.right  ) + [curr_node]
				return node_list
def      a_ (      )			->			None:







				"""simple docstring"""
				snake_case__									=     (8, 3, 6, 1, 10, 14, 13, 4, 7)
				snake_case__									=     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)












def      a_ (      _A = 4000000  )			->			int:







				"""simple docstring"""
				snake_case__									=     [0, 1]
				snake_case__									=     0
				while fib[i] <= n:
								fib.append(fib[i] + fib[i + 1]  )
								if fib[i + 2] > n:
												break
								i += 1
				snake_case__									=     0
				for j in range(len(_A  ) - 1  ):
								if fib[j] % 2 == 0:
												total += fib[j]

				return total


if __name__ == "__main__":
							print(f'''{solution() = }''')




