


from typing import List, Union

from ...configuration_utils import PretrainedConfig
from ...utils import logging


lowerCamelCase		=	logging.get_logger(__name__)

lowerCamelCase		=	{
    '''allenai/led-base-16384''': '''https://huggingface.co/allenai/led-base-16384/resolve/main/config.json''',
    # See all LED models at https://huggingface.co/models?filter=led
}





class       _a							(       _lowercase):
	_a						:						Union[str, Any]   					=							'''led'''
	_a						:						Any   					=							{
	    '''num_attention_heads''': '''encoder_attention_heads''',
	    '''hidden_size''': '''d_model''',
	    '''attention_probs_dropout_prob''': '''attention_dropout''',
	    '''initializer_range''': '''init_std''',
	}




	def __init__(      self		:	int	,      _SCREAMING_SNAKE_CASE		:	List[str]=5_0265	,      _SCREAMING_SNAKE_CASE		:	Optional[int]=1_6384	,      _SCREAMING_SNAKE_CASE		:	List[Any]=1024	,      _SCREAMING_SNAKE_CASE		:	Optional[int]=12	,      _SCREAMING_SNAKE_CASE		:	Optional[int]=4096	,      _SCREAMING_SNAKE_CASE		:	Union[str, Any]=16	,      _SCREAMING_SNAKE_CASE		:	str=12	,      _SCREAMING_SNAKE_CASE		:	List[Any]=4096	,      _SCREAMING_SNAKE_CASE		:	Optional[int]=16	,      _SCREAMING_SNAKE_CASE		:	int=0.0	,      _SCREAMING_SNAKE_CASE		:	Dict=0.0	,      _SCREAMING_SNAKE_CASE		:	str=True	,      _SCREAMING_SNAKE_CASE		:	List[Any]=True	,      _SCREAMING_SNAKE_CASE		:	Optional[Any]="gelu"	,      _SCREAMING_SNAKE_CASE		:	Any=1024	,      _SCREAMING_SNAKE_CASE		:	Optional[Any]=0.1	,      _SCREAMING_SNAKE_CASE		:	Union[str, Any]=0.0	,      _SCREAMING_SNAKE_CASE		:	int=0.0	,      _SCREAMING_SNAKE_CASE		:	Any=0.02	,      _SCREAMING_SNAKE_CASE		:	Optional[int]=2	,      _SCREAMING_SNAKE_CASE		:	List[str]=0.0	,      _SCREAMING_SNAKE_CASE		:	List[Any]=1	,      _SCREAMING_SNAKE_CASE		:	Union[str, Any]=0	,      _SCREAMING_SNAKE_CASE		:	Dict=2	,      _SCREAMING_SNAKE_CASE		:	Union[List[int], int] = 512	,      **_SCREAMING_SNAKE_CASE		:	List[Any]	,      )-> List[str]:
			lowerCAmelCase__     :    List[str]					  =      vocab_size
			lowerCAmelCase__     :    Dict					  =      max_encoder_position_embeddings
			lowerCAmelCase__     :    List[str]					  =      max_decoder_position_embeddings
			lowerCAmelCase__     :    Optional[int]					  =      d_model
			lowerCAmelCase__     :    str					  =      encoder_ffn_dim
			lowerCAmelCase__     :    List[Any]					  =      encoder_layers
			lowerCAmelCase__     :    Optional[Any]					  =      encoder_attention_heads
			lowerCAmelCase__     :    Optional[Any]					  =      decoder_ffn_dim
			lowerCAmelCase__     :    str					  =      decoder_layers
			lowerCAmelCase__     :    Tuple					  =      decoder_attention_heads
			lowerCAmelCase__     :    int					  =      dropout
			lowerCAmelCase__     :    Dict					  =      attention_dropout
			lowerCAmelCase__     :    str					  =      activation_dropout
			lowerCAmelCase__     :    Dict					  =      activation_function
			lowerCAmelCase__     :    Any					  =      init_std
			lowerCAmelCase__     :    Optional[int]					  =      encoder_layerdrop
			lowerCAmelCase__     :    Tuple					  =      decoder_layerdrop
			lowerCAmelCase__     :    Dict					  =      classifier_dropout
			lowerCAmelCase__     :    Optional[Any]					  =      use_cache
			lowerCAmelCase__     :    Tuple					  =      encoder_layers
			lowerCAmelCase__     :    Optional[Any]					  =      attention_window

			super().__init__(
			    pad_token_id=_SCREAMING_SNAKE_CASE	,      bos_token_id=_SCREAMING_SNAKE_CASE	,      eos_token_id=_SCREAMING_SNAKE_CASE	,      is_encoder_decoder=_SCREAMING_SNAKE_CASE	,      decoder_start_token_id=_SCREAMING_SNAKE_CASE	,      **_SCREAMING_SNAKE_CASE	,      )








from itertools import count
from math import asin, pi, sqrt






def   lowerCamelCase_					( _a ):




		"""simple docstring"""






		return (
		    (1 - 2 * point) * sqrt(point - point**2 ) + 2 * point + asin(sqrt(1 - point ) )
		) / 4






def   lowerCamelCase_					( _a ):




		"""simple docstring"""






		lowerCAmelCase__     :    Union[str, Any]					  =      (circles_number + 1 - sqrt(2 * circles_number )) / (
		    2 * (circles_number**2 + 1)
		)
		lowerCAmelCase__     :    Tuple					  =      circles_number * intersection_y

		lowerCAmelCase__     :    Any					  =      intersection_x * intersection_y / 2
		lowerCAmelCase__     :    Optional[Any]					  =      circle_bottom_arc_integral(
		    1 / 2 ) - circle_bottom_arc_integral(_a )

		return triangle_area + concave_region_area






def   lowerCamelCase_					( _a = 1 / 1_000 ):




		"""simple docstring"""






		lowerCAmelCase__     :    Any					  =      (1 - pi / 4) / 4

		for n in count(1 ):
				if concave_triangle_area(_a ) / l_section_area < fraction:
						return n

		return -1


if __name__ == "__main__":
		print(f'''{solution() = }''')




