'''simple docstring'''




from __future__ import annotations

import math
import random
from typing import Any





class     __magic_name__						:







			def __init__(	self				:  Any    ):
										lowercase_					:			list[Any]										=       []
										lowercase_					:			int										=       0
										lowercase_					:			int										=       0







			def 	SCREAMING_SNAKE_CASE_     (	self				:  int    ):
										return self.head == self.tail







			def 	SCREAMING_SNAKE_CASE_     (	self				:  List[str]				,			lowercase_				:  Any    ):
										self.data.append(lowercase_    )
										lowercase_					:			Optional[Any]										=       self.tail + 1







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Optional[Any]    ):
										lowercase_					:			List[Any]										=       self.data[self.head]
										lowercase_					:			Optional[int]										=       self.head + 1
										return ret







			def 	SCREAMING_SNAKE_CASE_     (	self				:  List[str]    ):
										return self.tail - self.head







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Tuple    ):
										print(self.data    )
										print("""**************"""    )
										print(self.data[self.head : self.tail]    )





class     __magic_name__						:







			def __init__(	self				:  Any				,			lowercase_				:  Any    ):
										lowercase_					:			Optional[Any]										=       data
										lowercase_					:			MyNode | None										=       None
										lowercase_					:			MyNode | None										=       None
										lowercase_					:			int										=       1







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Tuple    ):
										return self.data







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Union[str, Any]    ):
										return self.left







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Dict    ):
										return self.right







			def 	SCREAMING_SNAKE_CASE_     (	self				:  str    ):
										return self.height







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Any				,			lowercase_				:  Any    ):
										lowercase_					:			Dict										=       data







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Union[str, Any]				,			lowercase_				:  MyNode | None    ):
										lowercase_					:			Optional[Any]										=       node







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Tuple				,			lowercase_				:  MyNode | None    ):
										lowercase_					:			str										=       node







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Any				,			lowercase_				:  int    ):
										lowercase_					:			Tuple										=       height




def 							lowerCamelCase	(      UpperCAmelCase__       :					MyNode | None )			->      int:
							if node is None:
														return 0
							return node.get_height()




def 							lowerCamelCase	(      UpperCAmelCase__       :					int      ,      UpperCAmelCase__       :					int )			->      int:
							if a > b:
														return a
							return b




def 							lowerCamelCase	(      UpperCAmelCase__       :					MyNode )			->      MyNode:
							print("""left rotation node:"""      ,      node.get_data() )
							lowercase_					:			Union[str, Any]										=       node.get_left()
							assert ret is not None
							node.set_left(ret.get_right() )
							ret.set_right(UpperCAmelCase__ )
							lowercase_					:			Any										=       my_max(get_height(node.get_right() )      ,      get_height(node.get_left() ) ) + 1
							node.set_height(UpperCAmelCase__ )
							lowercase_					:			Optional[int]										=       my_max(get_height(ret.get_right() )      ,      get_height(ret.get_left() ) ) + 1
							ret.set_height(UpperCAmelCase__ )
							return ret




def 							lowerCamelCase	(      UpperCAmelCase__       :					MyNode )			->      MyNode:
							print("""right rotation node:"""      ,      node.get_data() )
							lowercase_					:			Dict										=       node.get_right()
							assert ret is not None
							node.set_right(ret.get_left() )
							ret.set_left(UpperCAmelCase__ )
							lowercase_					:			Tuple										=       my_max(get_height(node.get_right() )      ,      get_height(node.get_left() ) ) + 1
							node.set_height(UpperCAmelCase__ )
							lowercase_					:			str										=       my_max(get_height(ret.get_right() )      ,      get_height(ret.get_left() ) ) + 1
							ret.set_height(UpperCAmelCase__ )
							return ret




def 							lowerCamelCase	(      UpperCAmelCase__       :					MyNode )			->      MyNode:
							lowercase_					:			Optional[Any]										=       node.get_left()
							assert left_child is not None
							node.set_left(left_rotation(UpperCAmelCase__ ) )
							return right_rotation(UpperCAmelCase__ )




def 							lowerCamelCase	(      UpperCAmelCase__       :					MyNode )			->      MyNode:
							lowercase_					:			Optional[Any]										=       node.get_right()
							assert right_child is not None
							node.set_right(right_rotation(UpperCAmelCase__ ) )
							return left_rotation(UpperCAmelCase__ )




def 							lowerCamelCase	(      UpperCAmelCase__       :					MyNode | None      ,      UpperCAmelCase__       :					Any )			->      MyNode | None:
							if node is None:
														return MyNode(UpperCAmelCase__ )
							if data < node.get_data():
														node.set_left(insert_node(node.get_left()      ,      UpperCAmelCase__ ) )
														if (
														    get_height(node.get_left() ) - get_height(node.get_right() ) == 2
														):  # an unbalance detected
																					lowercase_					:			List[Any]										=       node.get_left()
																					assert left_child is not None
																					if (
																					    data < left_child.get_data()
																					):  # new node is the left child of the left child
																												lowercase_					:			List[Any]										=       right_rotation(UpperCAmelCase__ )
																					else:
																												lowercase_					:			Any										=       lr_rotation(UpperCAmelCase__ )
							else:
														node.set_right(insert_node(node.get_right()      ,      UpperCAmelCase__ ) )
														if get_height(node.get_right() ) - get_height(node.get_left() ) == 2:
																					lowercase_					:			Any										=       node.get_right()
																					assert right_child is not None
																					if data < right_child.get_data():
																												lowercase_					:			Optional[int]										=       rl_rotation(UpperCAmelCase__ )
																					else:
																												lowercase_					:			Optional[int]										=       left_rotation(UpperCAmelCase__ )
							lowercase_					:			Optional[int]										=       my_max(get_height(node.get_right() )      ,      get_height(node.get_left() ) ) + 1
							node.set_height(UpperCAmelCase__ )
							return node




def 							lowerCamelCase	(      UpperCAmelCase__       :					MyNode )			->      Any:
							while True:
														lowercase_					:			Any										=       root.get_right()
														if right_child is None:
																					break
														lowercase_					:			List[str]										=       right_child
							return root.get_data()




def 							lowerCamelCase	(      UpperCAmelCase__       :					MyNode )			->      Any:
							while True:
														lowercase_					:			List[Any]										=       root.get_left()
														if left_child is None:
																					break
														lowercase_					:			str										=       left_child
							return root.get_data()




def 							lowerCamelCase	(      UpperCAmelCase__       :					MyNode      ,      UpperCAmelCase__       :					Any )			->      MyNode | None:
							lowercase_					:			Union[str, Any]										=       root.get_left()
							lowercase_					:			int										=       root.get_right()
							if root.get_data() == data:
														if left_child is not None and right_child is not None:
																					lowercase_					:			Any										=       get_left_most(UpperCAmelCase__ )
																					root.set_data(UpperCAmelCase__ )
																					root.set_right(del_node(UpperCAmelCase__      ,      UpperCAmelCase__ ) )
														elif left_child is not None:
																					lowercase_					:			Dict										=       left_child
														elif right_child is not None:
																					lowercase_					:			Dict										=       right_child
														else:
																					return None
							elif root.get_data() > data:
														if left_child is None:
																					print("""No such data""" )
																					return root
														else:
																					root.set_left(del_node(UpperCAmelCase__      ,      UpperCAmelCase__ ) )
							else:  # root.get_data() < data
														if right_child is None:
																					return root
														else:
																					root.set_right(del_node(UpperCAmelCase__      ,      UpperCAmelCase__ ) )

							if get_height(UpperCAmelCase__ ) - get_height(UpperCAmelCase__ ) == 2:
														assert right_child is not None
														if get_height(right_child.get_right() ) > get_height(right_child.get_left() ):
																					lowercase_					:			str										=       left_rotation(UpperCAmelCase__ )
														else:
																					lowercase_					:			List[str]										=       rl_rotation(UpperCAmelCase__ )
							elif get_height(UpperCAmelCase__ ) - get_height(UpperCAmelCase__ ) == -2:
														assert left_child is not None
														if get_height(left_child.get_left() ) > get_height(left_child.get_right() ):
																					lowercase_					:			Optional[Any]										=       right_rotation(UpperCAmelCase__ )
														else:
																					lowercase_					:			List[str]										=       lr_rotation(UpperCAmelCase__ )
							lowercase_					:			int										=       my_max(get_height(root.get_right() )      ,      get_height(root.get_left() ) ) + 1
							root.set_height(UpperCAmelCase__ )
							return root





class     __magic_name__						:







			def __init__(	self				:  List[str]    ):
										lowercase_					:			MyNode | None										=       None







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Optional[int]    ):
										return get_height(self.root    )







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Any				,			lowercase_				:  Any    ):
										print("""insert:""" + str(lowercase_    )    )
										lowercase_					:			Dict										=       insert_node(self.root				,			lowercase_    )







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Any				,			lowercase_				:  Any    ):
										print("""delete:""" + str(lowercase_    )    )
										if self.root is None:
																	print("""Tree is empty!"""    )
																	return
										lowercase_					:			int										=       del_node(self.root				,			lowercase_    )







			def __str__(	self				:  Optional[int]				,			):  # a level traversale, gives a more intuitive look on the tree
										lowercase_					:			int										=       """"""
										lowercase_					:			Optional[int]										=       MyQueue()
										q.push(self.root    )
										lowercase_					:			Optional[Any]										=       self.get_height()
										if layer == 0:
																	return output
										lowercase_					:			Optional[int]										=       0
										while not q.is_empty():
																	lowercase_					:			Any										=       q.pop()
																	lowercase_					:			List[Any]										=       """ """ * int(math.pow(2				,			layer - 1    )    )
																	output += space
																	if node is None:
																								output += "*"
																								q.push(lowercase_    )
																								q.push(lowercase_    )
																	else:
																								output += str(node.get_data()    )
																								q.push(node.get_left()    )
																								q.push(node.get_right()    )
																	output += space
																	lowercase_					:			Union[str, Any]										=       cnt + 1
																	for i in range(100    ):
																								if cnt == math.pow(2				,			lowercase_    ) - 1:
																															lowercase_					:			Optional[Any]										=       layer - 1
																															if layer == 0:
																																						output += "\n*************************************"
																																						return output
																															output += "\n"
																															break
										output += "\n*************************************"
										return output




def 							lowerCamelCase	(      )			->      None:
							import doctest

							doctest.testmod()


if __name__ == "__main__":
						_test()
						_lowercase						: Optional[Any]						=						AVLtree()
						_lowercase						: Optional[Any]						=						list(range(10))
						random.shuffle(lst)
						for i in lst:
												t.insert(i)
												print(str(t))
						random.shuffle(lst)
						for i in lst:
												t.del_node(i)
												print(str(t))






'''simple docstring'''




import baseaa
import io
import json
import os
from copy import deepcopy

from ..optimizer import AcceleratedOptimizer
from ..scheduler import AcceleratedScheduler





class     __magic_name__						:







			def __init__(	self				:  str				,			lowercase_				:  Dict    ):
										if isinstance(lowercase_				,			lowercase_    ):
																	# Don't modify user's data should they want to reuse it (e.g. in tests), because once we
																	# modified it, it will not be accepted here again, since `auto` values would have been overridden
																	lowercase_					:			List[Any]										=       deepcopy(lowercase_    )
										elif os.path.exists(lowercase_    ):
																	with io.open(lowercase_				,			"""r"""				,			encoding="""utf-8"""    ) as f:
																								lowercase_					:			Union[str, Any]										=       json.load(lowercase_    )
										else:
																	try:
																								lowercase_					:			int										=       baseaa.urlsafe_baadecode(lowercase_    ).decode("""utf-8"""    )
																								lowercase_					:			str										=       json.loads(lowercase_    )
																	except (UnicodeDecodeError, AttributeError, ValueError):
																								raise ValueError(
																								    f'''Expected a string path to an existing deepspeed config, or a dictionary, or a base64 encoded string. Received: {config_file_or_dict}'''    )

										lowercase_					:			Any										=       config

										self.set_stage_and_offload()







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Union[str, Any]    ):
										# zero stage - this is done as early as possible, before model is created, to allow
										# ``is_deepspeed_zero3_enabled`` query and getting to the early deepspeed config object
										# during ``zero.Init()`` which needs to know the dtype, and some other hparams.
										lowercase_					:			Tuple										=       self.get_value("""zero_optimization.stage"""				,			-1    )

										# offload
										lowercase_					:			str										=       False
										if self.is_zeroa() or self.is_zeroa():
																	lowercase_					:			Dict										=       set(["""cpu""", """nvme"""]    )
																	lowercase_					:			List[Any]										=       set(
																	    [
																	        self.get_value("""zero_optimization.offload_optimizer.device"""    ),
																	        self.get_value("""zero_optimization.offload_param.device"""    ),
																	    ]    )
																	if len(offload_devices & offload_devices_valid    ) > 0:
																								lowercase_					:			Tuple										=       True







			def 	SCREAMING_SNAKE_CASE_     (	self				:  List[Any]				,			lowercase_				:  Any    ):
										lowercase_					:			Optional[Any]										=       self.config

										# find the config node of interest if it exists
										lowercase_					:			Tuple										=       ds_key_long.split("""."""    )
										lowercase_					:			Union[str, Any]										=       nodes.pop()
										for node in nodes:
																	lowercase_					:			List[str]										=       config.get(lowercase_    )
																	if config is None:
																								return None, ds_key

										return config, ds_key







			def 	SCREAMING_SNAKE_CASE_     (	self				:  str				,			lowercase_				:  List[str]				,			lowercase_				:  List[str]=None    ):
										lowercase_						,						lowercase_					:			List[Any]										=       self.find_config_node(lowercase_    )
										if config is None:
																	return default
										return config.get(lowercase_				,			lowercase_    )







			def 	SCREAMING_SNAKE_CASE_     (	self				:  List[str]				,			lowercase_				:  Optional[int]				,			lowercase_				:  int=False    ):
										lowercase_					:			int										=       self.config

										# find the config node of interest if it exists
										lowercase_					:			Dict										=       ds_key_long.split("""."""    )
										for node in nodes:
																	lowercase_					:			List[Any]										=       config
																	lowercase_					:			Dict										=       config.get(lowercase_    )
																	if config is None:
																								if must_exist:
																															raise ValueError(f'''Can\'t find {ds_key_long} entry in the config: {self.config}'''    )
																								else:
																															return

        # if found remove it
										if parent_config is not None:
																	parent_config.pop(lowercase_    )







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Optional[int]				,			lowercase_				:  Tuple    ):
										lowercase_					:			str										=       self.get_value(lowercase_    )
										return False if value is None else bool(lowercase_    )







			def 	SCREAMING_SNAKE_CASE_     (	self				:  List[str]				,			lowercase_				:  Union[str, Any]    ):
										lowercase_					:			Union[str, Any]										=       self.get_value(lowercase_    )
										return False if value is None else not bool(lowercase_    )







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Dict    ):
										return self._stage == 2







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Any    ):
										return self._stage == 3







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Union[str, Any]    ):
										return self._offload





class     __magic_name__						:







			def __init__(	self				:  Any				,			lowercase_				:  Union[str, Any]    ):
										lowercase_					:			Any										=       engine







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Tuple				,			lowercase_				:  int				,			**lowercase_				:  str    ):
										# runs backpropagation and handles mixed precision
										self.engine.backward(lowercase_				,			**lowercase_    )

										# Deepspeed's `engine.step` performs the following operations:
										# - gradient accumulation check
										# - gradient clipping
										# - optimizer step
										# - zero grad
										# - checking overflow
										# - lr_scheduler step (only if engine.lr_scheduler is not None)
										self.engine.step()
										# and this plugin overrides the above calls with no-ops when Accelerate runs under
										# Deepspeed, but allows normal functionality for non-Deepspeed cases thus enabling a simple
										# training loop that works transparently under many training regimes.





class     __magic_name__						(    _UpperCAmelCase):







			def __init__(	self				:  Optional[Any]				,			lowercase_				:  Tuple    ):
										super().__init__(lowercase_				,			device_placement=lowercase_				,			scaler=lowercase_    )
										lowercase_					:			Any										=       hasattr(self.optimizer				,			"""overflow"""    )







			def 	SCREAMING_SNAKE_CASE_     (	self				:  int				,			lowercase_				:  Tuple=None    ):
										pass  # `accelerator.backward(loss)` is doing that automatically. Therefore, its implementation is not needed







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Tuple    ):
										pass  # `accelerator.backward(loss)` is doing that automatically. Therefore, its implementation is not needed







			@property
			def 	SCREAMING_SNAKE_CASE_     (	self				:  List[Any]    ):
										if self.__has_overflow__:
																	return self.optimizer.overflow
										return False





class     __magic_name__						(    _UpperCAmelCase):







			def __init__(	self				:  Dict				,			lowercase_				:  Optional[Any]				,			lowercase_				:  Tuple    ):
										super().__init__(lowercase_				,			lowercase_    )







			def 	SCREAMING_SNAKE_CASE_     (	self				:  Optional[Any]    ):
										pass  # `accelerator.backward(loss)` is doing that automatically. Therefore, its implementation is not needed





class     __magic_name__						:







			def __init__(	self				:  Any				,			lowercase_				:  Union[str, Any]				,			lowercase_				:  List[str]=0.0_01				,			lowercase_				:  List[str]=0				,			**lowercase_				:  List[Any]    ):
										lowercase_					:			str										=       params
										lowercase_					:			List[Any]										=       lr
										lowercase_					:			int										=       weight_decay
										lowercase_					:			Union[str, Any]										=       kwargs





class     __magic_name__						:







			def __init__(	self				:  Tuple				,			lowercase_				:  Optional[Any]				,			lowercase_				:  List[str]=None				,			lowercase_				:  int=0				,			**lowercase_				:  int    ):
										lowercase_					:			Union[str, Any]										=       optimizer
										lowercase_					:			List[str]										=       total_num_steps
										lowercase_					:			Dict										=       warmup_num_steps
										lowercase_					:			Dict										=       kwargs





