code: 
  
  
  '''simple docstring'''
  
  
  
  class 							__UpperCamelCase       :
  
  
  
  
  	def __init__(     self							):
  
  						'''simple docstring'''
  
  
  
  
  
  						__a    : Optional[int]      					=						[0]
  						__a    : str      					=						0
  
  
  
  
  	def    __UpperCAmelCase							(     self		,       __a							):
  
  						'''simple docstring'''
  
  
  
  
  
  						__a    : Optional[int]      					=						self.__heap[i]
  						while i // 2 > 0:
  											if self.__heap[i] > self.__heap[i // 2]:
  																__a    : Optional[Any]      					=						self.__heap[i // 2]
  																__a    : str      					=						temporary
  											i //= 2
  
  
  
  
  	def    __UpperCAmelCase							(     self		,       __a							):
  
  						'''simple docstring'''
  
  
  
  
  
  						self.__heap.append(__a							)
  						self.__size += 1
  						self.__swap_up(self.__size							)
  
  
  
  
  	def    __UpperCAmelCase							(     self		,       __a							):
  
  						'''simple docstring'''
  
  
  
  
  
  						while self.__size >= 2 * i:
  											if 2 * i + 1 > self.__size:
  																__a    : List[Any]      					=						2 * i
  											else:
  																if self.__heap[2 * i] > self.__heap[2 * i + 1]:
  																					__a    : List[Any]      					=						2 * i
  																else:
  																					__a    : Tuple      					=						2 * i + 1
  											__a    : List[Any]      					=						self.__heap[i]
  											if self.__heap[i] < self.__heap[bigger_child]:
  																__a    : Optional[Any]      					=						self.__heap[bigger_child]
  																__a    : Any      					=						temporary
  											__a    : str      					=						bigger_child
  
  
  
  
  	def    __UpperCAmelCase							(     self							):
  
  						'''simple docstring'''
  
  
  
  
  
  						__a    : List[Any]      					=						self.__heap[1]
  						__a    : Union[str, Any]      					=						self.__heap[self.__size]
  						self.__size -= 1
  						self.__heap.pop()
  						self.__swap_down(1							)
  						return max_value
  
  
  
  
  	@property
  	def    __UpperCAmelCase							(     self							):
  
  						'''simple docstring'''
  
  
  
  
  
  						return self.__heap[1:]
  
  
  
  
  
  	def __len__(     self							):
  
  						'''simple docstring'''
  
  
  
  
  
  						return self.__size
  
  
  if __name__ == "__main__":
  	import doctest
  
  	doctest.testmod()
  	# create an instance of BinaryHeap
  	__lowercase			:		Dict =			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))
  
  
  
  
style_context: 
  
  
  '''simple docstring'''
  
  
  
  def 						lowerCamelCase							(_SCREAMING_SNAKE_CASE   :     set		,   _SCREAMING_SNAKE_CASE   :     set     ):
  					assert isinstance(_SCREAMING_SNAKE_CASE		,   _SCREAMING_SNAKE_CASE     ), F"""The input value of [set_a={set_a}] is not a set"""
  					assert isinstance(_SCREAMING_SNAKE_CASE		,   _SCREAMING_SNAKE_CASE     ), F"""The input value of [set_b={set_b}] is not a set"""
  
  					return {a + b for a in set_a for b in set_b}
  
  
  if __name__ == "__main__":
  	from doctest import testmod
  
  	testmod()
  
  
  
  