





"""simple docstring"""
from copy import deepcopy







class       a							:



 def __init__(     self				,       _snake_case = None				,       _snake_case = None     ):







  """simple docstring"""






  if arr is None and size is not None:
   lowerCAmelCase    				= size
   lowerCAmelCase    				= [0] * size
  elif arr is not None:
   self.init(__lowerCamelCase     )
  else:
   raise ValueError('Either arr or size must be specified'     )



 def    UpperCamelCase__  (     self				,       _snake_case     ):







  """simple docstring"""






  lowerCAmelCase    				= len(__lowerCamelCase     )
  lowerCAmelCase    				= deepcopy(__lowerCamelCase     )
  for i in range(1				,       self.size     ):
   lowerCAmelCase    				= self.next_(__lowerCamelCase     )
   if j < self.size:
    self.tree[j] += self.tree[i]



 def    UpperCamelCase__  (     self     ):







  """simple docstring"""






  lowerCAmelCase    				= self.tree[:]
  for i in range(self.size - 1				,       0				,       -1     ):
   lowerCAmelCase    				= self.next_(__lowerCamelCase     )
   if j < self.size:
    arr[j] -= arr[i]
  return arr



 @staticmethod
 def    UpperCamelCase__  (     _snake_case     ):







  """simple docstring"""






  return index + (index & (-index))



 @staticmethod
 def    UpperCamelCase__  (     _snake_case     ):







  """simple docstring"""






  return index - (index & (-index))



 def    UpperCamelCase__  (     self				,       _snake_case				,       _snake_case     ):







  """simple docstring"""






  if index == 0:
   self.tree[0] += value
   return
  while index < self.size:
   self.tree[index] += value
   lowerCAmelCase    				= self.next_(__lowerCamelCase     )



 def    UpperCamelCase__  (     self				,       _snake_case				,       _snake_case     ):







  """simple docstring"""






  self.add(__lowerCamelCase				,       value - self.get(__lowerCamelCase     )     )



 def    UpperCamelCase__  (     self				,       _snake_case     ):







  """simple docstring"""






  if right == 0:
   return 0
  lowerCAmelCase    				= self.tree[0]
  right -= 1  # make right inclusive
  while right > 0:
   result += self.tree[right]
   lowerCAmelCase    				= self.prev(__lowerCamelCase     )
  return result



 def    UpperCamelCase__  (     self				,       _snake_case				,       _snake_case     ):







  """simple docstring"""






  return self.prefix(__lowerCamelCase     ) - self.prefix(__lowerCamelCase     )



 def    UpperCamelCase__  (     self				,       _snake_case     ):







  """simple docstring"""






  return self.query(__lowerCamelCase				,       index + 1     )



 def    UpperCamelCase__  (     self				,       _snake_case     ):







  """simple docstring"""






  value -= self.tree[0]
  if value < 0:
   return -1

  lowerCAmelCase    				= 1  # Largest power of 2 <= size
  while j * 2 < self.size:
   j *= 2

  lowerCAmelCase    				= 0

  while j > 0:
   if i + j < self.size and self.tree[i + j] <= value:
    value -= self.tree[i + j]
    i += j
   j //= 2
  return i


if __name__ == "__main__":
       import doctest

       doctest.testmod()










"""simple docstring"""






from ..utils import DummyObject, requires_backends



class     UpperCAmelCase    (	metaclass=__SCREAMING_SNAKE_CASE  ):
   A__		:	Optional[int]           =  ['''torch''', '''scipy''']



   def __init__(       self    :	Any							,       *__lowerCamelCase    :	List[Any]							,       **__lowerCamelCase    :	Any				):



     """simple docstring"""
     requires_backends(self							,       ['''torch''', '''scipy''']				)



   @classmethod
   def    __UpperCAmelCase    (       cls    :	Dict							,       *__lowerCamelCase    :	List[str]							,       **__lowerCamelCase    :	Tuple				):



     """simple docstring"""
     requires_backends(cls							,       ['''torch''', '''scipy''']				)





   @classmethod
   def    __UpperCAmelCase    (       cls    :	int							,       *__lowerCamelCase    :	Union[str, Any]							,       **__lowerCamelCase    :	Tuple				):



     """simple docstring"""
     requires_backends(cls							,       ['''torch''', '''scipy''']				)





