





"""simple docstring"""




from collections.abc import Iterable
from typing import Any


class        __UpperCamelCase				:






							def __init__(   self      ,					lowerCAmelCase__ = None      )	-> List[str]:
								a      :		Optional[Any]	=				value
								a      :		Node | None	=				None  # Added in order to delete a node easier
								a      :		Node | None	=				None
								a      :		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        __UpperCamelCase				:






							def __init__(   self      ,					lowerCAmelCase__ = None      )	-> Tuple:
								a      :		Dict	=				root






							def __str__(   self      )	-> str:
								return str(self.root      )






							def     __a   (   self      ,					lowerCAmelCase__      ,					lowerCAmelCase__      )	-> None:
								if new_children is not None:  # reset its kids
									a      :		Dict	=				node.parent
								if node.parent is not None:  # reset its parent
									if self.is_right(lowerCAmelCase__      ):  # If it is the right children
										a      :		Any	=				new_children
									else:
										a      :		Dict	=				new_children
								else:
									a      :		Any	=				new_children






							def     __a   (   self      ,					lowerCAmelCase__      )	-> bool:
								if node.parent and node.parent.right:
									return node == node.parent.right
								return False






							def     __a   (   self      )	-> bool:
								return self.root is None






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






							def     __a   (   self      ,					*lowerCAmelCase__      )	-> None:
								for value in values:
									self.__insert(lowerCAmelCase__      )






							def     __a   (   self      ,					lowerCAmelCase__      )	-> Node | None:
								if self.empty():
									raise IndexError("Warning: Tree is empty! please use another."      )
								else:
									a      :		Any	=				self.root
									# use lazy evaluation here to avoid NoneType Attribute error
									while node is not None and node.value is not value:
										a      :		Tuple	=				node.left if value < node.value else node.right
									return node






							def     __a   (   self      ,					lowerCAmelCase__ = None      )	-> Node | None:
								if node is None:
									if self.root is None:
										return None
									a      :		List[str]	=				self.root

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






							def     __a   (   self      ,					lowerCAmelCase__ = None      )	-> Node | None:
								if node is None:
									a      :		str	=				self.root
								if self.root is None:
									return None
								if not self.empty():
									a      :		Any	=				self.root
									while node.left is not None:
										a      :		Dict	=				node.left
								return node






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






							def     __a   (   self      ,					lowerCAmelCase__      )	-> 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     __a   (   self      ,					lowerCAmelCase__=None      )	-> Any:
								if traversal_function is None:
									return self.preorder_traverse(self.root      )
								else:
									return traversal_function(self.root      )






							def     __a   (   self      ,					lowerCAmelCase__      ,					lowerCAmelCase__      )	-> None:
								if node:
									self.inorder(lowerCAmelCase__      ,					node.left      )
									arr.append(node.value      )
									self.inorder(lowerCAmelCase__      ,					node.right      )






							def     __a   (   self      ,					lowerCAmelCase__      ,					lowerCAmelCase__      )	-> int:
								a      :		list[int]	=				[]
								self.inorder(lowerCAmelCase__      ,					lowerCAmelCase__      )  # append all values to list using inorder traversal
								return arr[k - 1]






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






	'''simple docstring'''






	a      :		List[str]	=				[]
	if curr_node is not None:
		a      :		Dict	=				postorder(curr_node.left					) + postorder(curr_node.right					) + [curr_node]
	return node_list






def       _SCREAMING_SNAKE_CASE		(	) ->None:






	'''simple docstring'''






	a      :		Dict	=				(8, 3, 6, 1, 10, 14, 13, 4, 7)
	a      :		Union[str, Any]	=				BinarySearchTree()
	for i in testlist:
		t.insert(_lowercase					)

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

	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(_lowercase					)
		print(_lowercase					)


if __name__ == "__main__":
		import doctest

		doctest.testmod(verbose=True)




import importlib
import sys
from argparse import REMAINDER, ArgumentParser
from pathlib import Path

import torch_xla.distributed.xla_multiprocessing as xmp






def 							UpperCAmelCase_		(							):
	lowercase       =    ArgumentParser(
	    description=(
	        'PyTorch TPU distributed training launch '
	        'helper utility that will spawn up '
	        'multiple distributed processes'
	    )							)

	# Optional arguments for the launch helper
	parser.add_argument('--num_cores' ,							type=__SCREAMING_SNAKE_CASE ,							default=1 ,							help='Number of TPU cores to use (1 or 8).'							)

	# positional
	parser.add_argument(
	    'training_script' ,							type=__SCREAMING_SNAKE_CASE ,							help=(
	        'The full path to the single TPU training '
	        'program/script to be launched in parallel, '
	        'followed by all the arguments for the '
	        'training script'
	    ) ,							)

	# rest from the training program
	parser.add_argument('training_script_args' ,							nargs=__SCREAMING_SNAKE_CASE							)

	return parser.parse_args()






def 							UpperCAmelCase_		(							):
	lowercase       =    parse_args()

	# Import training_script as a module.
	lowercase       =    Path(args.training_script							)
	sys.path.append(str(script_fpath.parent.resolve()							)							)
	lowercase       =    script_fpath.stem
	lowercase       =    importlib.import_module(__SCREAMING_SNAKE_CASE							)

	# Patch sys.argv
	lowercase       =    [args.training_script] + args.training_script_args + ['--tpu_num_cores', str(args.num_cores							)]
	xmp.spawn(mod._mp_fn ,							args=() ,							nprocs=args.num_cores							)


if __name__ == "__main__":
	main()

