






'''simple docstring'''
from __future__ import annotations

import math
import random
from typing import Any






class      __SCREAMING_SNAKE_CASE      :




	def __init__(      self	:							Union[str, Any]      )	->						int:
							SCREAMING_SNAKE_CASE__     :				list[Any]									=[]
							SCREAMING_SNAKE_CASE__     :				int									=0
							SCREAMING_SNAKE_CASE__     :				int									=0




	def      __magic_name__	(      self	:							Any      )	->						List[Any]:
							return self.head == self.tail




	def      __magic_name__	(      self	:							List[str]					,      __lowercase	:							Any      )	->						Dict:
							self.data.append(UpperCamelCase__      )
							SCREAMING_SNAKE_CASE__     :				List[Any]									=self.tail + 1




	def      __magic_name__	(      self	:							Union[str, Any]      )	->						List[str]:
							SCREAMING_SNAKE_CASE__     :				Tuple									=self.data[self.head]
							SCREAMING_SNAKE_CASE__     :				List[str]									=self.head + 1
							return ret




	def      __magic_name__	(      self	:							Dict      )	->						str:
							return self.tail - self.head




	def      __magic_name__	(      self	:							Union[str, Any]      )	->						List[str]:
							print(self.data      )
							print('''**************'''      )
							print(self.data[self.head : self.tail]      )






class      __SCREAMING_SNAKE_CASE      :




	def __init__(      self	:							str					,      __lowercase	:							List[str]      )	->						Union[str, Any]:
							SCREAMING_SNAKE_CASE__     :				Union[str, Any]									=data
							SCREAMING_SNAKE_CASE__     :				MyNode | None									=None
							SCREAMING_SNAKE_CASE__     :				MyNode | None									=None
							SCREAMING_SNAKE_CASE__     :				int									=1




	def      __magic_name__	(      self	:							Dict      )	->						List[str]:
							return self.data




	def      __magic_name__	(      self	:							Optional[Any]      )	->						Dict:
							return self.left




	def      __magic_name__	(      self	:							Tuple      )	->						Union[str, Any]:
							return self.right




	def      __magic_name__	(      self	:							Tuple      )	->						List[Any]:
							return self.height




	def      __magic_name__	(      self	:							Union[str, Any]					,      __lowercase	:							List[Any]      )	->						Dict:
							SCREAMING_SNAKE_CASE__     :				int									=data




	def      __magic_name__	(      self	:							Tuple					,      __lowercase	:							Union[str, Any]      )	->						str:
							SCREAMING_SNAKE_CASE__     :				Any									=node




	def      __magic_name__	(      self	:							List[Any]					,      __lowercase	:							Tuple      )	->						Any:
							SCREAMING_SNAKE_CASE__     :				Union[str, Any]									=node




	def      __magic_name__	(      self	:							Optional[Any]					,      __lowercase	:							str      )	->						Optional[int]:
							SCREAMING_SNAKE_CASE__     :				Tuple									=height





def  _a(  UpperCamelCase__				:						MyNode | None							):




						'''simple docstring'''






						if node is None:
												return 0
						return node.get_height()





def  _a(  UpperCamelCase__				:						int,	UpperCamelCase__				:						int							):




						'''simple docstring'''






						if a > b:
												return a
						return b





def  _a(  UpperCamelCase__				:						MyNode							):




						'''simple docstring'''






						print('''left rotation node:''',	node.get_data()							)
						SCREAMING_SNAKE_CASE__     :				Optional[int]									=node.get_left()
						assert ret is not None
						node.set_left(ret.get_right()							)
						ret.set_right(__UpperCamelCase							)
						SCREAMING_SNAKE_CASE__     :				int									=my_max(get_height(node.get_right()							),	get_height(node.get_left()							)							) + 1
						node.set_height(__UpperCamelCase							)
						SCREAMING_SNAKE_CASE__     :				Optional[Any]									=my_max(get_height(ret.get_right()							),	get_height(ret.get_left()							)							) + 1
						ret.set_height(__UpperCamelCase							)
						return ret





def  _a(  UpperCamelCase__				:						MyNode							):




						'''simple docstring'''






						print('''right rotation node:''',	node.get_data()							)
						SCREAMING_SNAKE_CASE__     :				Union[str, Any]									=node.get_right()
						assert ret is not None
						node.set_right(ret.get_left()							)
						ret.set_left(__UpperCamelCase							)
						SCREAMING_SNAKE_CASE__     :				Optional[int]									=my_max(get_height(node.get_right()							),	get_height(node.get_left()							)							) + 1
						node.set_height(__UpperCamelCase							)
						SCREAMING_SNAKE_CASE__     :				List[str]									=my_max(get_height(ret.get_right()							),	get_height(ret.get_left()							)							) + 1
						ret.set_height(__UpperCamelCase							)
						return ret





def  _a(  UpperCamelCase__				:						MyNode							):




						'''simple docstring'''






						SCREAMING_SNAKE_CASE__     :				Dict									=node.get_left()
						assert left_child is not None
						node.set_left(left_rotation(__UpperCamelCase							)							)
						return right_rotation(__UpperCamelCase							)





def  _a(  UpperCamelCase__				:						MyNode							):




						'''simple docstring'''






						SCREAMING_SNAKE_CASE__     :				List[str]									=node.get_right()
						assert right_child is not None
						node.set_right(right_rotation(__UpperCamelCase							)							)
						return left_rotation(__UpperCamelCase							)





def  _a(  UpperCamelCase__				:						MyNode | None,	UpperCamelCase__				:						Any							):




						'''simple docstring'''






						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
																		SCREAMING_SNAKE_CASE__     :				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
																								SCREAMING_SNAKE_CASE__     :				int									=right_rotation(__UpperCamelCase							)
																		else:
																								SCREAMING_SNAKE_CASE__     :				Dict									=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:
																		SCREAMING_SNAKE_CASE__     :				List[Any]									=node.get_right()
																		assert right_child is not None
																		if data < right_child.get_data():
																								SCREAMING_SNAKE_CASE__     :				List[Any]									=rl_rotation(__UpperCamelCase							)
																		else:
																								SCREAMING_SNAKE_CASE__     :				Optional[Any]									=left_rotation(__UpperCamelCase							)
						SCREAMING_SNAKE_CASE__     :				Optional[Any]									=my_max(get_height(node.get_right()							),	get_height(node.get_left()							)							) + 1
						node.set_height(__UpperCamelCase							)
						return node





def  _a(  UpperCamelCase__				:						MyNode							):




						'''simple docstring'''






						while True:
												SCREAMING_SNAKE_CASE__     :				Optional[Any]									=root.get_right()
												if right_child is None:
																		break
												SCREAMING_SNAKE_CASE__     :				Union[str, Any]									=right_child
						return root.get_data()





def  _a(  UpperCamelCase__				:						MyNode							):




						'''simple docstring'''






						while True:
												SCREAMING_SNAKE_CASE__     :				str									=root.get_left()
												if left_child is None:
																		break
												SCREAMING_SNAKE_CASE__     :				List[str]									=left_child
						return root.get_data()





def  _a(  UpperCamelCase__				:						MyNode,	UpperCamelCase__				:						Any							):




						'''simple docstring'''






						SCREAMING_SNAKE_CASE__     :				str									=root.get_left()
						SCREAMING_SNAKE_CASE__     :				Optional[Any]									=root.get_right()
						if root.get_data() == data:
												if left_child is not None and right_child is not None:
																		SCREAMING_SNAKE_CASE__     :				str									=get_left_most(__UpperCamelCase							)
																		root.set_data(__UpperCamelCase							)
																		root.set_right(del_node(__UpperCamelCase,	__UpperCamelCase							)							)
												elif left_child is not None:
																		SCREAMING_SNAKE_CASE__     :				str									=left_child
												elif right_child is not None:
																		SCREAMING_SNAKE_CASE__     :				Any									=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()							):
																		SCREAMING_SNAKE_CASE__     :				int									=left_rotation(__UpperCamelCase							)
												else:
																		SCREAMING_SNAKE_CASE__     :				Any									=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()							):
																		SCREAMING_SNAKE_CASE__     :				Dict									=right_rotation(__UpperCamelCase							)
												else:
																		SCREAMING_SNAKE_CASE__     :				Optional[Any]									=lr_rotation(__UpperCamelCase							)
						SCREAMING_SNAKE_CASE__     :				int									=my_max(get_height(root.get_right()							),	get_height(root.get_left()							)							) + 1
						root.set_height(__UpperCamelCase							)
						return root






class      __SCREAMING_SNAKE_CASE      :




	def __init__(      self	:							int      )	->						Dict:
							SCREAMING_SNAKE_CASE__     :				MyNode | None									=None




	def      __magic_name__	(      self	:							Optional[int]      )	->						Tuple:
							return get_height(self.root      )




	def      __magic_name__	(      self	:							Any					,      __lowercase	:							int      )	->						List[str]:
							print('''insert:''' + str(UpperCamelCase__      )      )
							SCREAMING_SNAKE_CASE__     :				Tuple									=insert_node(self.root					,      UpperCamelCase__      )




	def      __magic_name__	(      self	:							Optional[int]					,      __lowercase	:							Tuple      )	->						str:
							print('''delete:''' + str(UpperCamelCase__      )      )
							if self.root is None:
													print('''Tree is empty!'''      )
													return
							SCREAMING_SNAKE_CASE__     :				Union[str, Any]									=del_node(self.root					,      UpperCamelCase__      )




	def __str__(      self	:							int					,      )	->						str:  # a level traversale, gives a more intuitive look on the tree
							SCREAMING_SNAKE_CASE__     :				Union[str, Any]									=''''''
							SCREAMING_SNAKE_CASE__     :				Union[str, Any]									=MyQueue()
							q.push(self.root      )
							SCREAMING_SNAKE_CASE__     :				int									=self.get_height()
							if layer == 0:
													return output
							SCREAMING_SNAKE_CASE__     :				List[Any]									=0
							while not q.is_empty():
													SCREAMING_SNAKE_CASE__     :				Optional[int]									=q.pop()
													SCREAMING_SNAKE_CASE__     :				int									=''' ''' * int(math.pow(2					,      layer - 1      )      )
													output += space
													if node is None:
																			output += "*"
																			q.push(UpperCamelCase__      )
																			q.push(UpperCamelCase__      )
													else:
																			output += str(node.get_data()      )
																			q.push(node.get_left()      )
																			q.push(node.get_right()      )
													output += space
													SCREAMING_SNAKE_CASE__     :				Dict									=cnt + 1
													for i in range(1_00      ):
																			if cnt == math.pow(2					,      UpperCamelCase__      ) - 1:
																									SCREAMING_SNAKE_CASE__     :				Tuple									=layer - 1
																									if layer == 0:
																															output += "\n*************************************"
																															return output
																									output += "\n"
																									break
							output += "\n*************************************"
							return output





def  _a(  ):




						'''simple docstring'''






						import doctest

						doctest.testmod()


if __name__ == "__main__":
		_test()
		a_					= AVLtree()
		a_					= list(range(1_0))
		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'''
from ...configuration_utils import PretrainedConfig
from ...utils import logging


a_					= logging.get_logger(__name__)

a_					= {
    'EleutherAI/gpt-neox-20b': 'https://huggingface.co/EleutherAI/gpt-neox-20b/resolve/main/config.json',
    # See all GPTNeoX models at https://huggingface.co/models?filter=gpt_neox
}






class      __SCREAMING_SNAKE_CASE      (			lowerCamelCase				):
 snake_case_  							=							"""gpt_neox"""




 def __init__(      self	:							List[Any]					,      __lowercase	:							Union[str, Any]=5_04_32					,      __lowercase	:							int=61_44					,      __lowercase	:							Tuple=44					,      __lowercase	:							List[str]=64					,      __lowercase	:							str=2_45_76					,      __lowercase	:							Dict="gelu"					,      __lowercase	:							Tuple=0.25					,      __lowercase	:							Tuple=1_00_00					,      __lowercase	:							Tuple=0.0					,      __lowercase	:							str=0.0					,      __lowercase	:							List[Any]=0.1					,      __lowercase	:							Dict=20_48					,      __lowercase	:							Any=0.02					,      __lowercase	:							Dict=1e-5					,      __lowercase	:							List[Any]=True					,      __lowercase	:							str=0					,      __lowercase	:							Optional[Any]=2					,      __lowercase	:							Tuple=False					,      __lowercase	:							List[Any]=True					,      __lowercase	:							Optional[Any]=None					,      **__lowercase	:							Any					,      )	->						Dict:
       super().__init__(bos_token_id=__lowercase					,      eos_token_id=__lowercase					,      **__lowercase      )
       SCREAMING_SNAKE_CASE__     :				Optional[int]									=vocab_size
       SCREAMING_SNAKE_CASE__     :				Union[str, Any]									=max_position_embeddings
       SCREAMING_SNAKE_CASE__     :				Any									=hidden_size
       SCREAMING_SNAKE_CASE__     :				str									=num_hidden_layers
       SCREAMING_SNAKE_CASE__     :				Any									=num_attention_heads
       SCREAMING_SNAKE_CASE__     :				Union[str, Any]									=intermediate_size
       SCREAMING_SNAKE_CASE__     :				Dict									=hidden_act
       SCREAMING_SNAKE_CASE__     :				str									=rotary_pct
       SCREAMING_SNAKE_CASE__     :				Optional[Any]									=rotary_emb_base
       SCREAMING_SNAKE_CASE__     :				List[Any]									=attention_dropout
       SCREAMING_SNAKE_CASE__     :				List[Any]									=hidden_dropout
       SCREAMING_SNAKE_CASE__     :				str									=classifier_dropout
       SCREAMING_SNAKE_CASE__     :				Any									=initializer_range
       SCREAMING_SNAKE_CASE__     :				Dict									=layer_norm_eps
       SCREAMING_SNAKE_CASE__     :				Any									=use_cache
       SCREAMING_SNAKE_CASE__     :				Tuple									=tie_word_embeddings
       SCREAMING_SNAKE_CASE__     :				Tuple									=use_parallel_residual
       SCREAMING_SNAKE_CASE__     :				Union[str, Any]									=rope_scaling
       self._rope_scaling_validation()

       if self.hidden_size % self.num_attention_heads != 0:
             raise ValueError(
                 '''The hidden size is not divisble by the number of attention heads! Make sure to update them!'''      )




 def      __magic_name__	(      self	:							Optional[Any]      )	->						Optional[Any]:
       if self.rope_scaling is None:
             return

       if not isinstance(self.rope_scaling					,      __lowercase      ) or len(self.rope_scaling      ) != 2:
             raise ValueError(
                 '''`rope_scaling` must be a dictionary with with two fields, `name` and `factor`, '''
                 F"got {self.rope_scaling}"      )
       SCREAMING_SNAKE_CASE__     :				int									=self.rope_scaling.get('''type'''					,      __lowercase      )
       SCREAMING_SNAKE_CASE__     :				Optional[int]									=self.rope_scaling.get('''factor'''					,      __lowercase      )
       if rope_scaling_type is None or rope_scaling_type not in ["linear", "dynamic"]:
             raise ValueError(
                 F"`rope_scaling`'s name field must be one of ['linear', 'dynamic'], got {rope_scaling_type}"      )
       if rope_scaling_factor is None or not isinstance(__lowercase					,      __lowercase      ) or rope_scaling_factor <= 1.0:
             raise ValueError(F"`rope_scaling`'s factor field must be an float > 1, got {rope_scaling_factor}"      )