






from collections.abc import Iterable
from typing import Any



class 							SCREAMING_SNAKE_CASE__						:





					"""simple docstring"""






					def __init__( self					:  str							,		__A					:  int | None = None	):
						snake_case__			:				Tuple       =  value
						snake_case__			:				Node | None       =  None  # Added in order to delete a node easier
						snake_case__			:				Node | None       =  None
						snake_case__			:				Node | None       =  None






					def __repr__( self					:  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__						:





					"""simple docstring"""






					def __init__( self					:  str							,		__A					:  Node | None = None	):
						snake_case__			:				List[Any]       =  root



					def __str__( self					:  Dict	):
						return str(self.root	)



					def 	_lowercase					( self					:  int							,		__A					:  Node							,		__A					:  Node | None	):
						if new_children is not None:  # reset its kids
							snake_case__			:				Tuple       =  node.parent
						if node.parent is not None:  # reset its parent
							if self.is_right(__A	):  # If it is the right children
								snake_case__			:				Optional[Any]       =  new_children
							else:
								snake_case__			:				Dict       =  new_children
						else:
							snake_case__			:				Any       =  new_children



					def 	_lowercase					( self					:  str							,		__A					:  Node	):
						if node.parent and node.parent.right:
							return node == node.parent.right
						return False



					def 	_lowercase					( self					:  Optional[Any]	):
						return self.root is None



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



					def 	_lowercase					( self					:  List[Any]							,		*__A					:  Union[str, Any]	):
						for value in values:
							self.__insert(__A	)



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



					def 	_lowercase					( self					:  Optional[int]							,		__A					:  Node | None = None	):
						if node is None:
							if self.root is None:
								return None
							snake_case__			:				List[str]       =  self.root

						if not self.empty():
							while node.right is not None:
								snake_case__			:				Dict       =  node.right
						return node



					def 	_lowercase					( self					:  int							,		__A					:  Node | None = None	):
						if node is None:
							snake_case__			:				List[Any]       =  self.root
						if self.root is None:
							return None
						if not self.empty():
							snake_case__			:				str       =  self.root
							while node.left is not None:
								snake_case__			:				Union[str, Any]       =  node.left
						return node



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



					def 	_lowercase					( self					:  Any							,		__A					:  Node | None	):
						if node is not None:
							yield node  # Preorder Traversal
							yield from self.preorder_traverse(node.left	)
							yield from self.preorder_traverse(node.right	)



					def 	_lowercase					( self					:  str							,		__A					:  Union[str, Any]=None	):
						if traversal_function is None:
							return self.preorder_traverse(self.root	)
						else:
							return traversal_function(self.root	)



					def 	_lowercase					( self					:  Union[str, Any]							,		__A					:  list							,		__A					:  Node | None	):
						if node:
							self.inorder(__A							,		node.left	)
							arr.append(node.value	)
							self.inorder(__A							,		node.right	)






					def 	_lowercase					( self					:  Tuple							,		__A					:  int							,		__A					:  Node	):
						snake_case__			:				list[int]       =  []
						self.inorder(__A							,		__A	)  # append all values to list using inorder traversal
						return arr[k - 1]







def 					SCREAMING_SNAKE_CASE    (			snake_case_ :							Node | None       ):
	snake_case__			:				Optional[int]       =  []
	if curr_node is not None:
		snake_case__			:				Dict       =  postorder(curr_node.left       ) + postorder(curr_node.right       ) + [curr_node]
	return node_list







def 					SCREAMING_SNAKE_CASE    (			):
	snake_case__			:				int       =  (8, 3, 6, 1, 10, 14, 13, 4, 7)
	snake_case__			:				str       =  BinarySearchTree()
	for i in testlist:
		t.insert(snake_case_       )

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

	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(snake_case_       )
		print(snake_case_       )


if __name__ == "__main__":
	import doctest

	doctest.testmod(verbose=True)











from datetime import datetime

import matplotlib.pyplot as plt
import torch







def 					SCREAMING_SNAKE_CASE    (			snake_case_ :							int       ):
	for param in module.parameters():
		snake_case__			:				Tuple       =  False







def 					SCREAMING_SNAKE_CASE    (			):
	snake_case__			:				Any       =  "cuda" if torch.cuda.is_available() else "cpu"
	if torch.backends.mps.is_available() and torch.backends.mps.is_built():
		snake_case__			:				List[Any]       =  "mps"
	if device == "mps":
		print(
		    "WARNING: MPS currently doesn't seem to work, and messes up backpropagation without any visible torch"
		    " errors. I recommend using CUDA on a colab notebook or CPU instead if you're facing inexplicable issues"
		    " with generations."       )
	return device







def 					SCREAMING_SNAKE_CASE    (			snake_case_ :							str       ):
	snake_case__			:				List[str]       =  plt.imshow(snake_case_       )
	fig.axes.get_xaxis().set_visible(snake_case_       )
	fig.axes.get_yaxis().set_visible(snake_case_       )
	plt.show()







def 					SCREAMING_SNAKE_CASE    (			):
	snake_case__			:				str       =  datetime.now()
	snake_case__			:				Optional[Any]       =  current_time.strftime("%H:%M:%S"       )
	return timestamp



