from collections.abc import Callable





class      lowerCAmelCase						:



     def __init__(					self				,      lowerCAmelCase__ = 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 lowerCAmelCase__       : x)



     def 			a__  (					self				,      lowerCAmelCase__       ):
            return int((i - 1) / 2       ) if i > 0 else None



     def 			a__  (					self				,      lowerCAmelCase__       ):
            _A=	int(2 * i + 1       )
            return left if 0 < left < self.size else None



     def 			a__  (					self				,      lowerCAmelCase__       ):
            _A=	int(2 * i + 2       )
            return right if 0 < right < self.size else None



     def 			a__  (					self				,      lowerCAmelCase__				,      lowerCAmelCase__       ):
            _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 			a__  (					self				,      lowerCAmelCase__				,      lowerCAmelCase__       ):
            return self.arr[i][1] < self.arr[j][1]



     def 			a__  (					self				,      lowerCAmelCase__       ):
            _A=	self._left(lowerCAmelCase__       )
            _A=	self._right(lowerCAmelCase__       )
            _A=	i

            if left is not None and not self._cmp(lowerCAmelCase__				,      lowerCAmelCase__       ):
                   _A=	left
            if right is not None and not self._cmp(lowerCAmelCase__				,      lowerCAmelCase__       ):
                   _A=	right

            return valid_parent



     def 			a__  (					self				,      lowerCAmelCase__       ):
            _A=	self._parent(lowerCAmelCase__       )
            while parent is not None and not self._cmp(lowerCAmelCase__				,      lowerCAmelCase__       ):
                   self._swap(lowerCAmelCase__				,      lowerCAmelCase__       )
                   _A,			_A=	parent, self._parent(lowerCAmelCase__       )



     def 			a__  (					self				,      lowerCAmelCase__       ):
            _A=	self._get_valid_parent(lowerCAmelCase__       )
            while valid_parent != index:
                   self._swap(lowerCAmelCase__				,      lowerCAmelCase__       )
                   _A,			_A=	valid_parent, self._get_valid_parent(lowerCAmelCase__       )



     def 			a__  (					self				,      lowerCAmelCase__				,      lowerCAmelCase__       ):
            if item not in self.pos_map:
                   return
            _A=	self.pos_map[item]
            _A=	[item, self.key(lowerCAmelCase__       )]
            # Make sure heap is right in both up and down direction.
            # Ideally only one of them will make any change.
            self._heapify_up(lowerCAmelCase__       )
            self._heapify_down(lowerCAmelCase__       )



     def 			a__  (					self				,      lowerCAmelCase__       ):
            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(lowerCAmelCase__       )
                   self._heapify_down(lowerCAmelCase__       )



     def 			a__  (					self				,      lowerCAmelCase__				,      lowerCAmelCase__       ):
            _A=	len(self.arr       )
            if arr_len == self.size:
                   self.arr.append([item, self.key(lowerCAmelCase__       )]       )
            else:
                   _A=	[item, self.key(lowerCAmelCase__       )]
            _A=	self.size
            self.size += 1
            self._heapify_up(self.size - 1       )



     def 			a__  (					self       ):
            return self.arr[0] if self.size else None





     def 			a__  (					self       ):
            _A=	self.get_top()
            if top_item_tuple:
                   self.delete_item(top_item_tuple[0]       )
            return top_item_tuple


def 							UpperCamelCase				(    )		->						None:




       '''simple docstring'''








if __name__ == "__main__":
      import doctest

      doctest.testmod()
from ..utils import DummyObject, requires_backends





class      lowerCAmelCase						(					metaclass=_a			):
     _SCREAMING_SNAKE_CASE     :     Optional[int]		=["""transformers""", """torch""", """note_seq"""]



     def __init__(					self				,      *lowerCAmelCase__				,      **lowerCAmelCase__       ):
            requires_backends(self				,      ['transformers', 'torch', 'note_seq']       )



     @classmethod
     def 			a__  (					cls				,      *lowerCAmelCase__				,      **lowerCAmelCase__       ):
            requires_backends(cls				,      ['transformers', 'torch', 'note_seq']       )





     @classmethod
     def 			a__  (					cls				,      *lowerCAmelCase__				,      **lowerCAmelCase__       ):
            requires_backends(cls				,      ['transformers', 'torch', 'note_seq']       )