






class 							_A :
    """simple docstring"""

    def __init__(							self			:    Optional[Any]			)			->       Any:
           __UpperCAmelCase    							=[0]
           __UpperCAmelCase    							=0



    def _a       (							self			:    Optional[Any]   ,    __SCREAMING_SNAKE_CASE			:    int			)			->       None:
           __UpperCAmelCase    							=self.__heap[i]
           while i // 2 > 0:
                  if self.__heap[i] > self.__heap[i // 2]:
                         __UpperCAmelCase    							=self.__heap[i // 2]
                         __UpperCAmelCase    							=temporary
                  i //= 2



    def _a       (							self			:    List[str]   ,    __SCREAMING_SNAKE_CASE			:    int			)			->       None:
           self.__heap.append(__SCREAMING_SNAKE_CASE			)
           self.__size += 1
           self.__swap_up(self.__size			)



    def _a       (							self			:    Any   ,    __SCREAMING_SNAKE_CASE			:    int			)			->       None:
           while self.__size >= 2 * i:
                  if 2 * i + 1 > self.__size:
                         __UpperCAmelCase    							=2 * i
                  else:
                         if self.__heap[2 * i] > self.__heap[2 * i + 1]:
                                __UpperCAmelCase    							=2 * i
                         else:
                                __UpperCAmelCase    							=2 * i + 1
                  __UpperCAmelCase    							=self.__heap[i]
                  if self.__heap[i] < self.__heap[bigger_child]:
                         __UpperCAmelCase    							=self.__heap[bigger_child]
                         __UpperCAmelCase    							=temporary
                  __UpperCAmelCase    							=bigger_child



    def _a       (							self			:    int			)			->       int:
           __UpperCAmelCase    							=self.__heap[1]
           __UpperCAmelCase    							=self.__heap[self.__size]
           self.__size -= 1
           self.__heap.pop()
           self.__swap_down(1			)
           return max_value



    @property
    def _a       (							self			:    List[str]			)			->       Optional[Any]:
           return self.__heap[1:]



    def __len__(							self			:    Optional[int]			)			->       List[str]:
           return self.__size


if __name__ == "__main__":
   import doctest

   doctest.testmod()
   # create an instance of BinaryHeap
   __A  							=			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))












__A  							=  [0.485, 0.456, 0.406]
__A  							=  [0.229, 0.224, 0.225]
__A  							=  [0.5, 0.5, 0.5]
__A  							=  [0.5, 0.5, 0.5]
__A  							=  [0.4814_5466, 0.457_8275, 0.4082_1073]
__A  							=  [0.2686_2954, 0.2613_0258, 0.2757_7711]




