




class 	UpperCamelCase__			:

				'''simple docstring'''



				def __init__(					self  )  ->   Tuple:
											lowerCamelCase     :   Dict    				=      [0]
											lowerCamelCase     :   Union[str, Any]    				=      0







				def 					_lowercase  (					self  ,						UpperCamelCase__  )  ->   None:
											lowerCamelCase     :   Tuple    				=      self.__heap[i]
											while i // 2 > 0:
																		if self.__heap[i] > self.__heap[i // 2]:
																									lowerCamelCase     :   int    				=      self.__heap[i // 2]
																									lowerCamelCase     :   Any    				=      temporary
																		i //= 2







				def 					_lowercase  (					self  ,						UpperCamelCase__  )  ->   None:
											self.__heap.append(UpperCamelCase__  )
											self.__size += 1
											self.__swap_up(self.__size  )







				def 					_lowercase  (					self  ,						UpperCamelCase__  )  ->   None:
											while self.__size >= 2 * i:
																		if 2 * i + 1 > self.__size:
																									lowerCamelCase     :   int    				=      2 * i
																		else:
																									if self.__heap[2 * i] > self.__heap[2 * i + 1]:
																																lowerCamelCase     :   List[Any]    				=      2 * i
																									else:
																																lowerCamelCase     :   int    				=      2 * i + 1
																		lowerCamelCase     :   Tuple    				=      self.__heap[i]
																		if self.__heap[i] < self.__heap[bigger_child]:
																									lowerCamelCase     :   str    				=      self.__heap[bigger_child]
																									lowerCamelCase     :   Tuple    				=      temporary
																		lowerCamelCase     :   Optional[Any]    				=      bigger_child







				def 					_lowercase  (					self  )  ->   int:
											lowerCamelCase     :   List[str]    				=      self.__heap[1]
											lowerCamelCase     :   Optional[Any]    				=      self.__heap[self.__size]
											self.__size -= 1
											self.__heap.pop()
											self.__swap_down(1  )
											return max_value







				@property
				def 					_lowercase  (					self  )  ->   Dict:
											return self.__heap[1:]







				def __len__(					self  )  ->   Any:
											return self.__size


if __name__ == "__main__":
							import doctest

							doctest.testmod()
							# create an instance of BinaryHeap
							SCREAMING_SNAKE_CASE__ :   List[str]						=     BinaryHeap()
							binary_heap.insert(6)
							binary_heap.insert(10)
							binary_heap.insert(15)
							binary_heap.insert(12)
							# pop root(max-values because it is max heap)
							print(binary_heap.pop())  # 15
							print(binary_heap.pop())  # 12
							# get the list and size after operations
							print(binary_heap.get_list)
							print(len(binary_heap))












from __future__ import annotations

def   A   (   _SCREAMING_SNAKE_CASE					)			->				list[int]:
       assert (
           isinstance(_SCREAMING_SNAKE_CASE				,_SCREAMING_SNAKE_CASE					) and mask > 0
       ), f'''mask needs to be positive integer, your input {mask}'''
       lowerCamelCase     :   str    				=      []
       lowerCamelCase     :   Any    				=      mask

       while submask:
              all_submasks.append(_SCREAMING_SNAKE_CASE					)
              lowerCamelCase     :   Union[str, Any]    				=      (submask - 1) & mask

       return all_submasks


if __name__ == "__main__":
       import doctest

       doctest.testmod()






