




'''simple docstring'''







from __future__ import annotations

from collections.abc import Iterable





class 	lowerCamelCase_				:




					'''simple docstring'''






					def __init__(       self,    __UpperCamelCase,    __UpperCamelCase					):
							_snake_case			,       _snake_case      			=			float(_lowerCAmelCase					), float(_lowerCAmelCase					)






					def __eq__(       self,    __UpperCamelCase					):
							return self.x == other.x and self.y == other.y






					def __ne__(       self,    __UpperCamelCase					):
							return not self == other






					def __gt__(       self,    __UpperCamelCase					):
							if self.x > other.x:
									return True
							elif self.x == other.x:
									return self.y > other.y
							return False






					def __lt__(       self,    __UpperCamelCase					):
							return not self > other






					def __ge__(       self,    __UpperCamelCase					):
							if self.x > other.x:
									return True
							elif self.x == other.x:
									return self.y >= other.y
							return False






					def __le__(       self,    __UpperCamelCase					):
							if self.x < other.x:
									return True
							elif self.x == other.x:
									return self.y <= other.y
							return False






					def __repr__(       self					):
							return f'''({self.x}, {self.y})'''






					def __hash__(       self					):
							return hash(self.x					)






def 						_lowercase						(      lowercase_		,				):



		'''simple docstring'''







		_snake_case      			=			[]
		if list_of_tuples:
				for p in list_of_tuples:
						if isinstance(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE    ):
								points.append(_SCREAMING_SNAKE_CASE    )
						else:
								try:
										points.append(Point(p[0]		,				p[1]    )    )
								except (IndexError, TypeError):
										print(
										    f'''Ignoring deformed point {p}. All points'''
										    " must have at least 2 coordinates."    )
		return points






def 						_lowercase						(      lowercase_    ):



		'''simple docstring'''







		if not hasattr(_SCREAMING_SNAKE_CASE		,				"__iter__"    ):
				_snake_case      			=			f'''Expecting an iterable object but got an non-iterable type {points}'''
				raise ValueError(_SCREAMING_SNAKE_CASE    )

		if not points:
				_snake_case      			=			f'''Expecting a list of points but got {points}'''
				raise ValueError(_SCREAMING_SNAKE_CASE    )

		return _construct_points(_SCREAMING_SNAKE_CASE    )






def 						_lowercase						(      lowercase_		,				lowercase_		,				lowercase_    ):



		'''simple docstring'''







		_snake_case      			=			(a.x * b.y + b.x * c.y + c.x * a.y) - (a.y * b.x + b.y * c.x + c.y * a.x)
		return det






def 						_lowercase						(      lowercase_    ):



		'''simple docstring'''







		_snake_case      			=			sorted(_validate_input(_SCREAMING_SNAKE_CASE    )    )
		_snake_case      			=			len(_SCREAMING_SNAKE_CASE    )
		_snake_case      			=			set()

		for i in range(n - 1    ):
				for j in range(i + 1		,				_SCREAMING_SNAKE_CASE    ):
						_snake_case      			=			_snake_case      			=			False
						_snake_case      			=			True
						for k in range(_SCREAMING_SNAKE_CASE    ):
								if k != i and k != j:
										_snake_case      			=			_det(points[i]		,				points[j]		,				points[k]    )

										if det_k > 0:
												_snake_case      			=			True
										elif det_k < 0:
												_snake_case      			=			True
										else:
												# point[i], point[j], point[k] all lie on a straight line
												# if point[k] is to the left of point[i] or it's to the
												# right of point[j], then point[i], point[j] cannot be
												# part of the convex hull of A
												if points[k] < points[i] or points[k] > points[j]:
														_snake_case      			=			False
														break

								if points_left_of_ij and points_right_of_ij:
										_snake_case      			=			False
										break

						if ij_part_of_convex_hull:
								convex_set.update([points[i], points[j]]    )

		return sorted(_SCREAMING_SNAKE_CASE    )






def 						_lowercase						(      lowercase_    ):



		'''simple docstring'''







		_snake_case      			=			sorted(_validate_input(_SCREAMING_SNAKE_CASE    )    )
		_snake_case      			=			len(_SCREAMING_SNAKE_CASE    )

		# divide all the points into an upper hull and a lower hull
		# the left most point and the right most point are definitely
		# members of the convex hull by definition.
		# use these two anchors to divide all the points into two hulls,
		# an upper hull and a lower hull.

		# all points to the left (above) the line joining the extreme points belong to the
		# upper hull
		# all points to the right (below) the line joining the extreme points below to the
		# lower hull
		# ignore all points on the line joining the extreme points since they cannot be
		# part of the convex hull

		_snake_case      			=			points[0]
		_snake_case      			=			points[n - 1]

		_snake_case      			=			{left_most_point, right_most_point}
		_snake_case      			=			[]
		_snake_case      			=			[]

		for i in range(1		,				n - 1    ):
				_snake_case      			=			_det(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE		,				points[i]    )

				if det > 0:
						upper_hull.append(points[i]    )
				elif det < 0:
						lower_hull.append(points[i]    )

		_construct_hull(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE    )
		_construct_hull(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE    )

		return sorted(_SCREAMING_SNAKE_CASE    )






def 						_lowercase						(      lowercase_		,				lowercase_		,				lowercase_		,				lowercase_    ):



		'''simple docstring'''







		if points:
				_snake_case      			=			None
				_snake_case      			=			float("-inf"    )
				_snake_case      			=			[]

				for p in points:
						_snake_case      			=			_det(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE    )

						if det > 0:
								candidate_points.append(_SCREAMING_SNAKE_CASE    )

								if det > extreme_point_distance:
										_snake_case      			=			det
										_snake_case      			=			p

				if extreme_point:
						_construct_hull(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE    )
						convex_set.add(_SCREAMING_SNAKE_CASE    )
						_construct_hull(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE    )






def 						_lowercase						(      lowercase_    ):



		'''simple docstring'''







		_snake_case      			=			sorted(_validate_input(_SCREAMING_SNAKE_CASE    )    )
		_snake_case      			=			len(_SCREAMING_SNAKE_CASE    )

		_snake_case      			=			points[:2]
		for i in range(2		,				_SCREAMING_SNAKE_CASE    ):
				_snake_case      			=			_det(convex_hull[1]		,				convex_hull[0]		,				points[i]    )
				if det > 0:
						convex_hull.insert(0		,				points[i]    )
						break
				elif det < 0:
						convex_hull.append(points[i]    )
						break
				else:
						_snake_case      			=			points[i]
		i += 1

		for j in range(_SCREAMING_SNAKE_CASE		,				_SCREAMING_SNAKE_CASE    ):
				if (
				    _det(convex_hull[0]		,				convex_hull[-1]		,				points[j]    ) > 0
				    and _det(convex_hull[-1]		,				convex_hull[0]		,				points[1]    ) < 0
				):
						# The point lies within the convex hull
						continue

				convex_hull.insert(0		,				points[j]    )
				convex_hull.append(points[j]    )
				while _det(convex_hull[0]		,				convex_hull[1]		,				convex_hull[2]    ) >= 0:
						del convex_hull[1]
				while _det(convex_hull[-1]		,				convex_hull[-2]		,				convex_hull[-3]    ) <= 0:
						del convex_hull[-2]

    # `convex_hull` is contains the convex hull in circular order
		return sorted(convex_hull[1:] if len(_SCREAMING_SNAKE_CASE    ) > 3 else convex_hull    )






def 						_lowercase						(      ):



		'''simple docstring'''







		_snake_case      			=			[
		    (0, 3),
		    (2, 2),
		    (1, 1),
		    (2, 1),
		    (3, 0),
		    (0, 0),
		    (3, 3),
		    (2, -1),
		    (2, -4),
		    (1, -3),
		]
		# the convex set of points is
		# [(0, 0), (0, 3), (1, -3), (2, -4), (3, 0), (3, 3)]
		_snake_case      			=			convex_hull_bf(_SCREAMING_SNAKE_CASE    )

		_snake_case      			=			convex_hull_recursive(_SCREAMING_SNAKE_CASE    )
		assert results_bf == results_recursive

		_snake_case      			=			convex_hull_melkman(_SCREAMING_SNAKE_CASE    )
		assert results_bf == results_melkman

		print(_SCREAMING_SNAKE_CASE    )


if __name__ == "__main__":
						main()










from typing import List, Union

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


UpperCAmelCase_          =				logging.get_logger(__name__)

UpperCAmelCase_          =				{
    "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 		UpperCAmelCase    (    snake_case_					):
   SCREAMING_SNAKE_CASE__					      =  '''led'''
   SCREAMING_SNAKE_CASE__					      =  {
       '''num_attention_heads''': '''encoder_attention_heads''',
       '''hidden_size''': '''d_model''',
       '''attention_probs_dropout_prob''': '''attention_dropout''',
       '''initializer_range''': '''init_std''',
   }





   def __init__(						self							,  _lowerCAmelCase=50_265							,  _lowerCAmelCase=16_384							,  _lowerCAmelCase=1_024							,  _lowerCAmelCase=12							,  _lowerCAmelCase=4_096							,  _lowerCAmelCase=16							,  _lowerCAmelCase=12							,  _lowerCAmelCase=4_096							,  _lowerCAmelCase=16							,  _lowerCAmelCase=0.0							,  _lowerCAmelCase=0.0							,  _lowerCAmelCase=True							,  _lowerCAmelCase=True							,  _lowerCAmelCase="gelu"							,  _lowerCAmelCase=1_024							,  _lowerCAmelCase=0.1							,  _lowerCAmelCase=0.0							,  _lowerCAmelCase=0.0							,  _lowerCAmelCase=0.02							,  _lowerCAmelCase=2							,  _lowerCAmelCase=0.0							,  _lowerCAmelCase=1							,  _lowerCAmelCase=0							,  _lowerCAmelCase=2							,  _lowerCAmelCase = 512							,  **_lowerCAmelCase							,  ):
         _lowerCAmelCase			      =	vocab_size
         _lowerCAmelCase			      =	max_encoder_position_embeddings
         _lowerCAmelCase			      =	max_decoder_position_embeddings
         _lowerCAmelCase			      =	d_model
         _lowerCAmelCase			      =	encoder_ffn_dim
         _lowerCAmelCase			      =	encoder_layers
         _lowerCAmelCase			      =	encoder_attention_heads
         _lowerCAmelCase			      =	decoder_ffn_dim
         _lowerCAmelCase			      =	decoder_layers
         _lowerCAmelCase			      =	decoder_attention_heads
         _lowerCAmelCase			      =	dropout
         _lowerCAmelCase			      =	attention_dropout
         _lowerCAmelCase			      =	activation_dropout
         _lowerCAmelCase			      =	activation_function
         _lowerCAmelCase			      =	init_std
         _lowerCAmelCase			      =	encoder_layerdrop
         _lowerCAmelCase			      =	decoder_layerdrop
         _lowerCAmelCase			      =	classifier_dropout
         _lowerCAmelCase			      =	use_cache
         _lowerCAmelCase			      =	encoder_layers
         _lowerCAmelCase			      =	attention_window

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