





from __future__ import annotations

import math
import random
from typing import Any



class    _a     :






							"""simple docstring"""

							def __init__(      self				:     Any    )	->None:
													SCREAMING_SNAKE_CASE__     :				list[Any]   =					[]
													SCREAMING_SNAKE_CASE__     :				int   =					0
													SCREAMING_SNAKE_CASE__     :				int   =					0

							def      A_  (      self				:     List[str]    )	->bool:
													return self.head == self.tail

							def      A_  (      self				:     Optional[int]							,	a				:     Any    )	->None:
													self.data.append(a    )
													SCREAMING_SNAKE_CASE__     :				Union[str, Any]   =					self.tail + 1

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

							def      A_  (      self				:     Tuple    )	->int:
													return self.tail - self.head






							def      A_  (      self				:     Tuple    )	->None:
													print(self.data    )
													print("**************"    )
													print(self.data[self.head : self.tail]    )







class    _a     :






							"""simple docstring"""

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

							def      A_  (      self				:     int    )	->Any:
													return self.data

							def      A_  (      self				:     Union[str, Any]    )	->MyNode | None:
													return self.left

							def      A_  (      self				:     List[Any]    )	->MyNode | None:
													return self.right

							def      A_  (      self				:     Dict    )	->int:
													return self.height

							def      A_  (      self				:     Optional[Any]							,	a				:     Any    )	->None:
													SCREAMING_SNAKE_CASE__     :				List[str]   =					data

							def      A_  (      self				:     Any							,	a				:     MyNode | None    )	->None:
													SCREAMING_SNAKE_CASE__     :				List[str]   =					node

							def      A_  (      self				:     Any							,	a				:     MyNode | None    )	->None:
													SCREAMING_SNAKE_CASE__     :				List[Any]   =					node






							def      A_  (      self				:     Tuple							,	a				:     int    )	->None:
													SCREAMING_SNAKE_CASE__     :				Optional[int]   =					height







def       UpperCAmelCase							(     _lowerCamelCase      :  MyNode | None     ):





						'''simple docstring'''


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







def       UpperCAmelCase							(     _lowerCamelCase      :  int			,   _lowerCamelCase      :  int     ):





						'''simple docstring'''


						if a > b:
												return a
						return b







def       UpperCAmelCase							(     _lowerCamelCase      :  MyNode     ):





						'''simple docstring'''


						print("left rotation node:"			,   node.get_data()     )
						SCREAMING_SNAKE_CASE__     :				str   =					node.get_left()
						assert ret is not None
						node.set_left(ret.get_right()     )
						ret.set_right(_lowerCamelCase     )
						SCREAMING_SNAKE_CASE__     :				str   =					my_max(get_height(node.get_right()     )			,   get_height(node.get_left()     )     ) + 1
						node.set_height(_lowerCamelCase     )
						SCREAMING_SNAKE_CASE__     :				Tuple   =					my_max(get_height(ret.get_right()     )			,   get_height(ret.get_left()     )     ) + 1
						ret.set_height(_lowerCamelCase     )
						return ret







def       UpperCAmelCase							(     _lowerCamelCase      :  MyNode     ):





						'''simple docstring'''


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







def       UpperCAmelCase							(     _lowerCamelCase      :  MyNode     ):





						'''simple docstring'''


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







def       UpperCAmelCase							(     _lowerCamelCase      :  MyNode     ):





						'''simple docstring'''


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







def       UpperCAmelCase							(     _lowerCamelCase      :  MyNode | None			,   _lowerCamelCase      :  Any     ):





						'''simple docstring'''


						if node is None:
												return MyNode(_lowerCamelCase     )
						if data < node.get_data():
												node.set_left(insert_node(node.get_left()			,   _lowerCamelCase     )     )
												if (
												    get_height(node.get_left()     ) - get_height(node.get_right()     ) == 2
												):  # an unbalance detected
																		SCREAMING_SNAKE_CASE__     :				str   =					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__     :				List[Any]   =					right_rotation(_lowerCamelCase     )
																		else:
																								SCREAMING_SNAKE_CASE__     :				Union[str, Any]   =					lr_rotation(_lowerCamelCase     )
						else:
												node.set_right(insert_node(node.get_right()			,   _lowerCamelCase     )     )
												if get_height(node.get_right()     ) - get_height(node.get_left()     ) == 2:
																		SCREAMING_SNAKE_CASE__     :				Optional[int]   =					node.get_right()
																		assert right_child is not None
																		if data < right_child.get_data():
																								SCREAMING_SNAKE_CASE__     :				Any   =					rl_rotation(_lowerCamelCase     )
																		else:
																								SCREAMING_SNAKE_CASE__     :				List[Any]   =					left_rotation(_lowerCamelCase     )
						SCREAMING_SNAKE_CASE__     :				Union[str, Any]   =					my_max(get_height(node.get_right()     )			,   get_height(node.get_left()     )     ) + 1
						node.set_height(_lowerCamelCase     )
						return node







def       UpperCAmelCase							(     _lowerCamelCase      :  MyNode     ):





						'''simple docstring'''


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







def       UpperCAmelCase							(     _lowerCamelCase      :  MyNode     ):





						'''simple docstring'''


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







def       UpperCAmelCase							(     _lowerCamelCase      :  MyNode			,   _lowerCamelCase      :  Any     ):





						'''simple docstring'''


						SCREAMING_SNAKE_CASE__     :				List[Any]   =					root.get_left()
						SCREAMING_SNAKE_CASE__     :				int   =					root.get_right()
						if root.get_data() == data:
												if left_child is not None and right_child is not None:
																		SCREAMING_SNAKE_CASE__     :				Dict   =					get_left_most(_lowerCamelCase     )
																		root.set_data(_lowerCamelCase     )
																		root.set_right(del_node(_lowerCamelCase			,   _lowerCamelCase     )     )
												elif left_child is not None:
																		SCREAMING_SNAKE_CASE__     :				List[str]   =					left_child
												elif right_child is not None:
																		SCREAMING_SNAKE_CASE__     :				Optional[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(_lowerCamelCase			,   _lowerCamelCase     )     )
						else:  # root.get_data() < data
												if right_child is None:
																		return root
												else:
																		root.set_right(del_node(_lowerCamelCase			,   _lowerCamelCase     )     )

						if get_height(_lowerCamelCase     ) - get_height(_lowerCamelCase     ) == 2:
												assert right_child is not None
												if get_height(right_child.get_right()     ) > get_height(right_child.get_left()     ):
																		SCREAMING_SNAKE_CASE__     :				str   =					left_rotation(_lowerCamelCase     )
												else:
																		SCREAMING_SNAKE_CASE__     :				List[str]   =					rl_rotation(_lowerCamelCase     )
						elif get_height(_lowerCamelCase     ) - get_height(_lowerCamelCase     ) == -2:
												assert left_child is not None
												if get_height(left_child.get_left()     ) > get_height(left_child.get_right()     ):
																		SCREAMING_SNAKE_CASE__     :				str   =					right_rotation(_lowerCamelCase     )
												else:
																		SCREAMING_SNAKE_CASE__     :				Tuple   =					lr_rotation(_lowerCamelCase     )
						SCREAMING_SNAKE_CASE__     :				Dict   =					my_max(get_height(root.get_right()     )			,   get_height(root.get_left()     )     ) + 1
						root.set_height(_lowerCamelCase     )
						return root



class    _a     :






							"""simple docstring"""

							def __init__(      self				:     List[Any]    )	->None:
													SCREAMING_SNAKE_CASE__     :				MyNode | None   =					None

							def      A_  (      self				:     Optional[Any]    )	->int:
													return get_height(self.root    )

							def      A_  (      self				:     Optional[Any]							,	a				:     Any    )	->None:
													print("insert:" + str(a    )    )
													SCREAMING_SNAKE_CASE__     :				Dict   =					insert_node(self.root							,	a    )

							def      A_  (      self				:     Any							,	a				:     Any    )	->None:
													print("delete:" + str(a    )    )
													if self.root is None:
																			print("Tree is empty!"    )
																			return
													SCREAMING_SNAKE_CASE__     :				str   =					del_node(self.root							,	a    )






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







def       UpperCAmelCase							(     ):





						'''simple docstring'''


						import doctest

						doctest.testmod()


if __name__ == "__main__":
				_test()
				__lowercase       :int       =  AVLtree()
				__lowercase       :str       =  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))













from collections import OrderedDict
from typing import TYPE_CHECKING, Any, List, Mapping, Optional, Union

from ...configuration_utils import PretrainedConfig
from ...onnx import OnnxConfig
from ...utils import TensorType, logging


if TYPE_CHECKING:
				from ...onnx.config import PatchingSpec
				from ...tokenization_utils_base import PreTrainedTokenizerBase


__lowercase       :List[Any]       =  logging.get_logger(__name__)

__lowercase       :Optional[int]       =  {
    "allenai/longformer-base-4096": "https://huggingface.co/allenai/longformer-base-4096/resolve/main/config.json",
    "allenai/longformer-large-4096": "https://huggingface.co/allenai/longformer-large-4096/resolve/main/config.json",
    "allenai/longformer-large-4096-finetuned-triviaqa": (
        "https://huggingface.co/allenai/longformer-large-4096-finetuned-triviaqa/resolve/main/config.json"
    ),
    "allenai/longformer-base-4096-extra.pos.embd.only": (
        "https://huggingface.co/allenai/longformer-base-4096-extra.pos.embd.only/resolve/main/config.json"
    ),
    "allenai/longformer-large-4096-extra.pos.embd.only": (
        "https://huggingface.co/allenai/longformer-large-4096-extra.pos.embd.only/resolve/main/config.json"
    ),
}



class    _a     (				lowercase__							):






							"""simple docstring"""

							snake_case_							 =						"longformer"

							def __init__(      self				:     List[str]							,	a				:     Union[List[int], int] = 5_12							,	a				:     int = 2							,	a				:     int = 1							,	a				:     int = 0							,	a				:     int = 2							,	a				:     int = 3_05_22							,	a				:     int = 7_68							,	a				:     int = 12							,	a				:     int = 12							,	a				:     int = 30_72							,	a				:     str = "gelu"							,	a				:     float = 0.1							,	a				:     float = 0.1							,	a				:     int = 5_12							,	a				:     int = 2							,	a				:     float = 0.02							,	a				:     float = 1E-12							,	a				:     bool = False							,	**a				:     Dict							,	)	->Tuple:
													super().__init__(pad_token_id=a							,	**a    )

													SCREAMING_SNAKE_CASE__     :				int   =					attention_window
													SCREAMING_SNAKE_CASE__     :				Any   =					sep_token_id
													SCREAMING_SNAKE_CASE__     :				str   =					bos_token_id
													SCREAMING_SNAKE_CASE__     :				List[str]   =					eos_token_id
													SCREAMING_SNAKE_CASE__     :				List[str]   =					vocab_size
													SCREAMING_SNAKE_CASE__     :				Optional[Any]   =					hidden_size
													SCREAMING_SNAKE_CASE__     :				List[str]   =					num_hidden_layers
													SCREAMING_SNAKE_CASE__     :				Optional[int]   =					num_attention_heads
													SCREAMING_SNAKE_CASE__     :				List[Any]   =					hidden_act
													SCREAMING_SNAKE_CASE__     :				Optional[int]   =					intermediate_size
													SCREAMING_SNAKE_CASE__     :				List[str]   =					hidden_dropout_prob
													SCREAMING_SNAKE_CASE__     :				Dict   =					attention_probs_dropout_prob
													SCREAMING_SNAKE_CASE__     :				Optional[Any]   =					max_position_embeddings
													SCREAMING_SNAKE_CASE__     :				str   =					type_vocab_size
													SCREAMING_SNAKE_CASE__     :				Any   =					initializer_range
													SCREAMING_SNAKE_CASE__     :				List[Any]   =					layer_norm_eps
													SCREAMING_SNAKE_CASE__     :				Any   =					onnx_export







class    _a     (				lowercase__							):






							"""simple docstring"""

							def __init__(      self				:     int							,	a				:     "PretrainedConfig"							,	a				:     str = "default"							,	a				:     "List[PatchingSpec]" = None    )	->str:
													super().__init__(a							,	a							,	a    )
													SCREAMING_SNAKE_CASE__     :				Any   =					True

							@property
							def      A_  (      self				:     int    )	->Mapping[str, Mapping[int, str]]:
													if self.task == "multiple-choice":
																			SCREAMING_SNAKE_CASE__     :				int   =					{0: "batch", 1: "choice", 2: "sequence"}
													else:
																			SCREAMING_SNAKE_CASE__     :				str   =					{0: "batch", 1: "sequence"}
													return OrderedDict(
													    [
													        ("input_ids", dynamic_axis),
													        ("attention_mask", dynamic_axis),
													        ("global_attention_mask", dynamic_axis),
													    ]    )

							@property
							def      A_  (      self				:     Optional[Any]    )	->Mapping[str, Mapping[int, str]]:
													SCREAMING_SNAKE_CASE__     :				Optional[Any]   =					super().outputs
													if self.task == "default":
																			SCREAMING_SNAKE_CASE__     :				List[str]   =					{0: "batch"}
													return outputs

							@property
							def      A_  (      self				:     str    )	->float:
													return 1E-4

							@property
							def      A_  (      self				:     Any    )	->int:
													# needs to be >= 14 to support tril operator
													return max(super().default_onnx_opset							,	14    )






							def      A_  (      self				:     str							,	a				:     "PreTrainedTokenizerBase"							,	a				:     int = -1							,	a				:     int = -1							,	a				:     bool = False							,	a				:     Optional[TensorType] = None							,	)	->Mapping[str, Any]:
													SCREAMING_SNAKE_CASE__     :				Tuple   =					super().generate_dummy_inputs(
													    preprocessor=a							,	batch_size=a							,	seq_length=a							,	is_pair=a							,	framework=a    )
													import torch

													# for some reason, replacing this code by inputs["global_attention_mask"] = torch.randint(2, inputs["input_ids"].shape, dtype=torch.int64)
													# makes the export fail randomly
													SCREAMING_SNAKE_CASE__     :				Any   =					torch.zeros_like(inputs["input_ids"]    )
													# make every second token global
													SCREAMING_SNAKE_CASE__     :				str   =					1

													return inputs