
import dataclasses
import json
import sys
import types
from argparse import ArgumentDefaultsHelpFormatter, ArgumentParser, ArgumentTypeError
from copy import copy
from enum import Enum
from inspect import isclass
from pathlib import Path
from typing import Any, Callable, Dict, Iterable, List, Literal, NewType, Optional, Tuple, Union, get_type_hints

import yaml


_A     :   List[str]     =  NewType("DataClass", Any)
_A     :   Optional[int]     =  NewType("DataClassType", Any)






def      lowerCamelCase__       (       __lowerCAmelCase						:						Dict       ):




			"""simple docstring"""


			if isinstance(__lowerCAmelCase					,							__lowerCAmelCase       ):
						return v
			if v.lower() in ("yes", "true", "t", "y", "1"):
						return True
			elif v.lower() in ("no", "false", "f", "n", "0"):
						return False
			else:
						raise ArgumentTypeError(
						    F"""Truthy value expected: got {v} but expected one of yes/no, true/false, t/f, y/n, 1/0 (case insensitive)."""       )






def      lowerCamelCase__       (       __lowerCAmelCase						:						list       ):




			"""simple docstring"""


			lowerCAmelCase_      			=			{str(__lowerCAmelCase       ): choice for choice in choices}
			return lambda __lowerCAmelCase       : str_to_choice.get(__lowerCAmelCase					,							__lowerCAmelCase       )






def      lowerCamelCase__       (       *,
    __lowerCAmelCase						:						Union[str, List[str]] = None					,							__lowerCAmelCase						:						str = None					,							__lowerCAmelCase						:						Any = dataclasses.MISSING					,							__lowerCAmelCase						:						Callable[[], Any] = dataclasses.MISSING					,							__lowerCAmelCase						:						dict = None					,							**__lowerCAmelCase						:						Optional[Any]					,							):




			"""simple docstring"""


			if metadata is None:
						# Important, don't use as default param in function signature because dict is mutable and shared across function calls
						lowerCAmelCase_      			=			{}
			if aliases is not None:
						lowerCAmelCase_      			=			aliases
			if help is not None:
						lowerCAmelCase_      			=			help

			return dataclasses.field(metadata=__lowerCAmelCase					,							default=__lowerCAmelCase					,							default_factory=__lowerCAmelCase					,							**__lowerCAmelCase       )





class 			_lowerCAmelCase      (			lowercase__ ):
				_lowercase    	=42




				def __init__(      self       ,       _UpperCamelCase       ,       **_UpperCamelCase  )       ->   Optional[int]:
							# To make the default appear when using --help
							if "formatter_class" not in kwargs:
										lowerCAmelCase_      			=			ArgumentDefaultsHelpFormatter
							super().__init__(**UpperCAmelCase__  )
							if dataclasses.is_dataclass(UpperCAmelCase__  ):
										lowerCAmelCase_      			=			[dataclass_types]
							lowerCAmelCase_      			=			list(UpperCAmelCase__  )
							for dtype in self.dataclass_types:
										self._add_dataclass_arguments(UpperCAmelCase__  )




				@staticmethod
				def   __a		(      _UpperCamelCase       ,       _UpperCamelCase  )       ->   List[str]:
							lowerCAmelCase_      			=			f"""--{field.name}"""
							lowerCAmelCase_      			=			field.metadata.copy()
							# field.metadata is not used at all by Data Classes,
							# it is provided as a third-party extension mechanism.
							if isinstance(field.type       ,       UpperCAmelCase__  ):
										raise RuntimeError(
										    "Unresolved type detected, which should have been done with the help of "
										    "`typing.get_type_hints` method by default"  )

							lowerCAmelCase_      			=			kwargs.pop("aliases"       ,       []  )
							if isinstance(UpperCAmelCase__       ,       UpperCAmelCase__  ):
										lowerCAmelCase_      			=			[aliases]

							lowerCAmelCase_      			=			getattr(field.type       ,       "__origin__"       ,       field.type  )
							if origin_type is Union or (hasattr(UpperCAmelCase__       ,       "UnionType"  ) and isinstance(UpperCAmelCase__       ,       types.UnionType  )):
										if str not in field.type.__args__ and (
										    len(field.type.__args__  ) != 2 or type(UpperCAmelCase__  ) not in field.type.__args__
										):
													raise ValueError(
													    "Only `Union[X, NoneType]` (i.e., `Optional[X]`) is allowed for `Union` because"
													    " the argument parser only supports one type per argument."
													    f""" Problem encountered in field \'{field.name}\'."""  )
										if type(UpperCAmelCase__  ) not in field.type.__args__:
													# filter `str` in Union
													lowerCAmelCase_      			=			field.type.__args__[0] if field.type.__args__[1] == str else field.type.__args__[1]
													lowerCAmelCase_      			=			getattr(field.type       ,       "__origin__"       ,       field.type  )
										elif bool not in field.type.__args__:
													# filter `NoneType` in Union (except for `Union[bool, NoneType]`)
													lowerCAmelCase_      			=			(
													    field.type.__args__[0] if isinstance(UpperCAmelCase__       ,       field.type.__args__[1]  ) else field.type.__args__[1]
													)
													lowerCAmelCase_      			=			getattr(field.type       ,       "__origin__"       ,       field.type  )

        # A variable to store kwargs for a boolean field, if needed
        # so that we can init a `no_*` complement argument (see below)
							lowerCAmelCase_      			=			{}
							if origin_type is Literal or (isinstance(field.type       ,       UpperCAmelCase__  ) and issubclass(field.type       ,       UpperCAmelCase__  )):
										if origin_type is Literal:
													lowerCAmelCase_      			=			field.type.__args__
										else:
													lowerCAmelCase_      			=			[x.value for x in field.type]

										lowerCAmelCase_      			=			make_choice_type_function(kwargs["choices"]  )

										if field.default is not dataclasses.MISSING:
													lowerCAmelCase_      			=			field.default
										else:
													lowerCAmelCase_      			=			True
							elif field.type is bool or field.type == Optional[bool]:
										# Copy the currect kwargs to use to instantiate a `no_*` complement argument below.
										# We do not initialize it here because the `no_*` alternative must be instantiated after the real argument
										lowerCAmelCase_      			=			copy(UpperCAmelCase__  )

										# Hack because type=bool in argparse does not behave as we want.
										lowerCAmelCase_      			=			string_to_bool
										if field.type is bool or (field.default is not None and field.default is not dataclasses.MISSING):
													# Default value is False if we have no default when of type bool.
													lowerCAmelCase_      			=			False if field.default is dataclasses.MISSING else field.default
													# This is the value that will get picked if we don't include --field_name in any way
													lowerCAmelCase_      			=			default
													# This tells argparse we accept 0 or 1 value after --field_name
													lowerCAmelCase_      			=			'''?'''
													# This is the value that will get picked if we do --field_name (without value)
													lowerCAmelCase_      			=			True
							elif isclass(UpperCAmelCase__  ) and issubclass(UpperCAmelCase__       ,       UpperCAmelCase__  ):
										lowerCAmelCase_      			=			field.type.__args__[0]
										lowerCAmelCase_      			=			'''+'''
										if field.default_factory is not dataclasses.MISSING:
													lowerCAmelCase_      			=			field.default_factory()
										elif field.default is dataclasses.MISSING:
													lowerCAmelCase_      			=			True
							else:
										lowerCAmelCase_      			=			field.type
										if field.default is not dataclasses.MISSING:
													lowerCAmelCase_      			=			field.default
										elif field.default_factory is not dataclasses.MISSING:
													lowerCAmelCase_      			=			field.default_factory()
										else:
													lowerCAmelCase_      			=			True
							parser.add_argument(UpperCAmelCase__       ,       *UpperCAmelCase__       ,       **UpperCAmelCase__  )

							# Add a complement `no_*` argument for a boolean field AFTER the initial field has already been added.
							# Order is important for arguments with the same destination!
							# We use a copy of earlier kwargs because the original kwargs have changed a lot before reaching down
							# here and we do not need those changes/additional keys.
							if field.default is True and (field.type is bool or field.type == Optional[bool]):
										lowerCAmelCase_      			=			False
										parser.add_argument(f"""--no_{field.name}"""       ,       action="store_false"       ,       dest=field.name       ,       **UpperCAmelCase__  )




				def   __a		(      self       ,       _UpperCamelCase  )       ->   List[Any]:
							if hasattr(UpperCAmelCase__       ,       "_argument_group_name"  ):
										lowerCAmelCase_      			=			self.add_argument_group(dtype._argument_group_name  )
							else:
										lowerCAmelCase_      			=			self

							try:
										lowerCAmelCase_      			=			get_type_hints(UpperCAmelCase__  )
							except NameError:
										raise RuntimeError(
										    f"""Type resolution failed for {dtype}. Try declaring the class in global scope or """
										    "removing line of `from __future__ import annotations` which opts in Postponed "
										    "Evaluation of Annotations (PEP 563)"  )
							except TypeError as ex:
										# Remove this block when we drop Python 3.9 support
										if sys.version_info[:2] < (3, 10) and "unsupported operand type(s) for |" in str(UpperCAmelCase__  ):
													lowerCAmelCase_      			=			'''.'''.join(map(UpperCAmelCase__       ,       sys.version_info[:3]  )  )
													raise RuntimeError(
													    f"""Type resolution failed for {dtype} on Python {python_version}. Try removing """
													    "line of `from __future__ import annotations` which opts in union types as "
													    "`X | Y` (PEP 604) via Postponed Evaluation of Annotations (PEP 563). To "
													    "support Python versions that lower than 3.10, you need to use "
													    "`typing.Union[X, Y]` instead of `X | Y` and `typing.Optional[X]` instead of "
													    "`X | None`."  ) from ex
										raise

							for field in dataclasses.fields(UpperCAmelCase__  ):
										if not field.init:
													continue
										lowerCAmelCase_      			=			type_hints[field.name]
										self._parse_dataclass_field(UpperCAmelCase__       ,       UpperCAmelCase__  )




				def   __a		(      self       ,       _UpperCamelCase=None       ,       _UpperCamelCase=False       ,       _UpperCamelCase=True       ,       _UpperCamelCase=None       ,       _UpperCamelCase=None       ,       )       ->   Tuple:

							if args_file_flag or args_filename or (look_for_args_file and len(sys.argv  )):
										lowerCAmelCase_      			=			[]

										if args_filename:
													args_files.append(Path(UpperCAmelCase__  )  )
										elif look_for_args_file and len(sys.argv  ):
													args_files.append(Path(sys.argv[0]  ).with_suffix(".args"  )  )

										# args files specified via command line flag should overwrite default args files so we add them last
										if args_file_flag:
													# Create special parser just to extract the args_file_flag values
													lowerCAmelCase_      			=			ArgumentParser()
													args_file_parser.add_argument(UpperCAmelCase__       ,       type=UpperCAmelCase__       ,       action="append"  )

													# Use only remaining args for further parsing (remove the args_file_flag)
													lowerCAmelCase_      			=			args_file_parser.parse_known_args(args=UpperCAmelCase__  )
													lowerCAmelCase_      			=			vars(UpperCAmelCase__  ).get(args_file_flag.lstrip("-"  )       ,       UpperCAmelCase__  )

													if cmd_args_file_paths:
																args_files.extend([Path(UpperCAmelCase__  ) for p in cmd_args_file_paths]  )

										lowerCAmelCase_      			=			[]
										for args_file in args_files:
													if args_file.exists():
																file_args += args_file.read_text().split()

            # in case of duplicate arguments the last one has precedence
            # args specified via the command line should overwrite args from files, so we add them last
										lowerCAmelCase_      			=			file_args + args if args is not None else file_args + sys.argv[1:]
							lowerCAmelCase_      			=			self.parse_known_args(args=UpperCAmelCase__  )
							lowerCAmelCase_      			=			[]
							for dtype in self.dataclass_types:
										lowerCAmelCase_      			=			{f.name for f in dataclasses.fields(UpperCAmelCase__  ) if f.init}
										lowerCAmelCase_      			=			{k: v for k, v in vars(UpperCAmelCase__  ).items() if k in keys}
										for k in keys:
													delattr(UpperCAmelCase__       ,       UpperCAmelCase__  )
										lowerCAmelCase_      			=			dtype(**UpperCAmelCase__  )
										outputs.append(UpperCAmelCase__  )
							if len(namespace.__dict__  ) > 0:
										# additional namespace.
										outputs.append(UpperCAmelCase__  )
							if return_remaining_strings:
										return (*outputs, remaining_args)
							else:
										if remaining_args:
													raise ValueError(f"""Some specified arguments are not used by the HfArgumentParser: {remaining_args}"""  )

										return (*outputs,)




				def   __a		(      self       ,       _UpperCamelCase       ,       _UpperCamelCase = False  )       ->   List[str]:
							lowerCAmelCase_      			=			set(args.keys()  )
							lowerCAmelCase_      			=			[]
							for dtype in self.dataclass_types:
										lowerCAmelCase_      			=			{f.name for f in dataclasses.fields(UpperCAmelCase__  ) if f.init}
										lowerCAmelCase_      			=			{k: v for k, v in args.items() if k in keys}
										unused_keys.difference_update(inputs.keys()  )
										lowerCAmelCase_      			=			dtype(**UpperCAmelCase__  )
										outputs.append(UpperCAmelCase__  )
							if not allow_extra_keys and unused_keys:
										raise ValueError(f"""Some keys are not used by the HfArgumentParser: {sorted(UpperCAmelCase__  )}"""  )
							return tuple(UpperCAmelCase__  )




				def   __a		(      self       ,       _UpperCamelCase       ,       _UpperCamelCase = False  )       ->   Any:
							with open(Path(UpperCAmelCase__  )       ,       encoding="utf-8"  ) as open_json_file:
										lowerCAmelCase_      			=			json.loads(open_json_file.read()  )
							lowerCAmelCase_      			=			self.parse_dict(UpperCAmelCase__       ,       allow_extra_keys=UpperCAmelCase__  )
							return tuple(UpperCAmelCase__  )




				def   __a		(      self       ,       _UpperCamelCase       ,       _UpperCamelCase = False  )       ->   Dict:
							lowerCAmelCase_      			=			self.parse_dict(yaml.safe_load(Path(UpperCAmelCase__  ).read_text()  )       ,       allow_extra_keys=UpperCAmelCase__  )
							return tuple(UpperCAmelCase__  )





from collections.abc import Iterable
from typing import Any





class 			_lowerCAmelCase      :




				def __init__(      self       ,       _UpperCamelCase = None  )       ->   str:
							lowerCAmelCase_      			=			value
							lowerCAmelCase_      			=			None  # Added in order to delete a node easier
							lowerCAmelCase_      			=			None
							lowerCAmelCase_      			=			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 			_lowerCAmelCase      :




				def __init__(      self       ,       _UpperCamelCase = None  )       ->   Union[str, Any]:
							lowerCAmelCase_      			=			root




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




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




				def   __a		(      self       ,       _UpperCamelCase  )       ->   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       ,       _UpperCamelCase  )       ->   None:
							lowerCAmelCase_      			=			Node(_UpperCamelCase  )  # create a new Node
							if self.empty():  # if Tree is empty
										lowerCAmelCase_      			=			new_node  # set its root
							else:  # Tree is not empty
										lowerCAmelCase_      			=			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:
																			lowerCAmelCase_      			=			new_node  # We insert the new node in a leaf
																			break
																else:
																			lowerCAmelCase_      			=			parent_node.left
													else:
																if parent_node.right is None:
																			lowerCAmelCase_      			=			new_node
																			break
																else:
																			lowerCAmelCase_      			=			parent_node.right
										lowerCAmelCase_      			=			parent_node




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




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




				def   __a		(      self       ,       _UpperCamelCase = None  )       ->   Node | None:
							if node is None:
										if self.root is None:
													return None
										lowerCAmelCase_      			=			self.root

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




				def   __a		(      self       ,       _UpperCamelCase = None  )       ->   Node | None:
							if node is None:
										lowerCAmelCase_      			=			self.root
							if self.root is None:
										return None
							if not self.empty():
										lowerCAmelCase_      			=			self.root
										while node.left is not None:
													lowerCAmelCase_      			=			node.left
							return node




				def   __a		(      self       ,       _UpperCamelCase  )       ->   None:
							lowerCAmelCase_      			=			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:
													lowerCAmelCase_      			=			self.get_max(
													    node.left  )  # Gets the max value of the left branch
													self.remove(tmp_node.value  )  # type: ignore
													lowerCAmelCase_      			=			(
													    tmp_node.value  # type: ignore
													)  # Assigns the value to the node to delete and keep tree structure




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




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




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






def      lowerCamelCase__       (       __lowerCAmelCase						:						Node | None       ):




			"""simple docstring"""


			lowerCAmelCase_      			=			[]
			if curr_node is not None:
						lowerCAmelCase_      			=			postorder(curr_node.left       ) + postorder(curr_node.right       ) + [curr_node]
			return node_list






def      lowerCamelCase__       (       ):




			"""simple docstring"""


			lowerCAmelCase_      			=			(8, 3, 6, 1, 10, 14, 13, 4, 7)
			lowerCAmelCase_      			=			BinarySearchTree()
			for i in testlist:
						t.insert(__lowerCAmelCase       )

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

			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(__lowerCAmelCase       )
						print(__lowerCAmelCase       )


if __name__ == "__main__":
			import doctest

			doctest.testmod(verbose=True)



