from collections.abc import Callable


class 						a__							:



			def __init__(						self				,						UpperCAmelCase = None   )			->   None:
								# Stores actual heap items.
								__a		 =       []
								# Stores indexes of each item for supporting updates and deletion.
								__a		 =       {}
								# Stores current size of heap.
								__a		 =       0
								# Stores function used to evaluate the score of an item on which basis ordering
								# will be done.
								__a		 =       key or (lambda UpperCAmelCase   : x)



			def __SCREAMING_SNAKE_CASE							(						self				,						UpperCAmelCase   )			->   int | None:
								return int((i - 1) / 2   ) if i > 0 else None



			def __SCREAMING_SNAKE_CASE							(						self				,						UpperCAmelCase   )			->   int | None:
								__a		 =       int(2 * i + 1   )
								return left if 0 < left < self.size else None



			def __SCREAMING_SNAKE_CASE							(						self				,						UpperCAmelCase   )			->   int | None:
								__a		 =       int(2 * i + 2   )
								return right if 0 < right < self.size else None



			def __SCREAMING_SNAKE_CASE							(						self				,						UpperCAmelCase				,						UpperCAmelCase   )			->   None:
								__a ,				__a		 =       (
								    self.pos_map[self.arr[j][0]],
								    self.pos_map[self.arr[i][0]],
								)
								# Then swap the items in the list.
								__a ,				__a		 =       self.arr[j], self.arr[i]



			def __SCREAMING_SNAKE_CASE							(						self				,						UpperCAmelCase				,						UpperCAmelCase   )			->   bool:
								return self.arr[i][1] < self.arr[j][1]



			def __SCREAMING_SNAKE_CASE							(						self				,						UpperCAmelCase   )			->   int:
								__a		 =       self._left(UpperCAmelCase   )
								__a		 =       self._right(UpperCAmelCase   )
								__a		 =       i

								if left is not None and not self._cmp(UpperCAmelCase				,						UpperCAmelCase   ):
													__a		 =       left
								if right is not None and not self._cmp(UpperCAmelCase				,						UpperCAmelCase   ):
													__a		 =       right

								return valid_parent



			def __SCREAMING_SNAKE_CASE							(						self				,						UpperCAmelCase   )			->   None:
								__a		 =       self._parent(UpperCAmelCase   )
								while parent is not None and not self._cmp(UpperCAmelCase				,						UpperCAmelCase   ):
													self._swap(UpperCAmelCase				,						UpperCAmelCase   )
													__a ,				__a		 =       parent, self._parent(UpperCAmelCase   )



			def __SCREAMING_SNAKE_CASE							(						self				,						UpperCAmelCase   )			->   None:
								__a		 =       self._get_valid_parent(UpperCAmelCase   )
								while valid_parent != index:
													self._swap(UpperCAmelCase				,						UpperCAmelCase   )
													__a ,				__a		 =       valid_parent, self._get_valid_parent(UpperCAmelCase   )



			def __SCREAMING_SNAKE_CASE							(						self				,						UpperCAmelCase				,						UpperCAmelCase   )			->   None:
								if item not in self.pos_map:
													return
								__a		 =       self.pos_map[item]
								__a		 =       [item, self.key(UpperCAmelCase   )]
								# Make sure heap is right in both up and down direction.
								# Ideally only one of them will make any change.
								self._heapify_up(UpperCAmelCase   )
								self._heapify_down(UpperCAmelCase   )



			def __SCREAMING_SNAKE_CASE							(						self				,						UpperCAmelCase   )			->   None:
								if item not in self.pos_map:
													return
								__a		 =       self.pos_map[item]
								del self.pos_map[item]
								__a		 =       self.arr[self.size - 1]
								__a		 =       index
								self.size -= 1
								# Make sure heap is right in both up and down direction. Ideally only one
								# of them will make any change- so no performance loss in calling both.
								if self.size > index:
													self._heapify_up(UpperCAmelCase   )
													self._heapify_down(UpperCAmelCase   )



			def __SCREAMING_SNAKE_CASE							(						self				,						UpperCAmelCase				,						UpperCAmelCase   )			->   None:
								__a		 =       len(self.arr   )
								if arr_len == self.size:
													self.arr.append([item, self.key(UpperCAmelCase   )]   )
								else:
													__a		 =       [item, self.key(UpperCAmelCase   )]
								__a		 =       self.size
								self.size += 1
								self._heapify_up(self.size - 1   )



			def __SCREAMING_SNAKE_CASE							(						self   )			->   tuple | None:
								return self.arr[0] if self.size else None







			def __SCREAMING_SNAKE_CASE							(						self   )			->   tuple | None:
								__a		 =       self.get_top()
								if top_item_tuple:
													self.delete_item(top_item_tuple[0]   )
								return top_item_tuple






def 							lowerCAmelCase(     ):
					pass


if __name__ == "__main__":
	import doctest

	doctest.testmod()





from ..utils import DummyObject, requires_backends


class 						a__							(       metaclass=__snake_case		):
			A__    :       List[Any]        =      ['torch', 'transformers', 'onnx']



			def __init__(						self				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   Any:
								requires_backends(self				,						['torch', 'transformers', 'onnx']   )



			@classmethod
			def __SCREAMING_SNAKE_CASE							(						cls				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   Union[str, Any]:
								requires_backends(cls				,						['torch', 'transformers', 'onnx']   )







			@classmethod
			def __SCREAMING_SNAKE_CASE							(						cls				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   List[str]:
								requires_backends(cls				,						['torch', 'transformers', 'onnx']   )






class 						a__							(       metaclass=__snake_case		):
			A__    :       Union[str, Any]        =      ['torch', 'transformers', 'onnx']



			def __init__(						self				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   int:
								requires_backends(self				,						['torch', 'transformers', 'onnx']   )



			@classmethod
			def __SCREAMING_SNAKE_CASE							(						cls				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   int:
								requires_backends(cls				,						['torch', 'transformers', 'onnx']   )







			@classmethod
			def __SCREAMING_SNAKE_CASE							(						cls				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   Dict:
								requires_backends(cls				,						['torch', 'transformers', 'onnx']   )






class 						a__							(       metaclass=__snake_case		):
			A__    :       Dict        =      ['torch', 'transformers', 'onnx']



			def __init__(						self				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   Union[str, Any]:
								requires_backends(self				,						['torch', 'transformers', 'onnx']   )



			@classmethod
			def __SCREAMING_SNAKE_CASE							(						cls				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   Any:
								requires_backends(cls				,						['torch', 'transformers', 'onnx']   )







			@classmethod
			def __SCREAMING_SNAKE_CASE							(						cls				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   int:
								requires_backends(cls				,						['torch', 'transformers', 'onnx']   )






class 						a__							(       metaclass=__snake_case		):
			A__    :       Union[str, Any]        =      ['torch', 'transformers', 'onnx']



			def __init__(						self				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   Optional[Any]:
								requires_backends(self				,						['torch', 'transformers', 'onnx']   )



			@classmethod
			def __SCREAMING_SNAKE_CASE							(						cls				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   int:
								requires_backends(cls				,						['torch', 'transformers', 'onnx']   )







			@classmethod
			def __SCREAMING_SNAKE_CASE							(						cls				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   Union[str, Any]:
								requires_backends(cls				,						['torch', 'transformers', 'onnx']   )






class 						a__							(       metaclass=__snake_case		):
			A__    :       Dict        =      ['torch', 'transformers', 'onnx']



			def __init__(						self				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   Optional[int]:
								requires_backends(self				,						['torch', 'transformers', 'onnx']   )



			@classmethod
			def __SCREAMING_SNAKE_CASE							(						cls				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   Any:
								requires_backends(cls				,						['torch', 'transformers', 'onnx']   )







			@classmethod
			def __SCREAMING_SNAKE_CASE							(						cls				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   str:
								requires_backends(cls				,						['torch', 'transformers', 'onnx']   )






class 						a__							(       metaclass=__snake_case		):
			A__    :       Tuple        =      ['torch', 'transformers', 'onnx']



			def __init__(						self				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   int:
								requires_backends(self				,						['torch', 'transformers', 'onnx']   )



			@classmethod
			def __SCREAMING_SNAKE_CASE							(						cls				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   List[str]:
								requires_backends(cls				,						['torch', 'transformers', 'onnx']   )







			@classmethod
			def __SCREAMING_SNAKE_CASE							(						cls				,						*UpperCAmelCase				,						**UpperCAmelCase   )			->   Any:
								requires_backends(cls				,						['torch', 'transformers', 'onnx']   )




