





class 							snake_case_		:







		def __init__(		self )					-> Dict:
				lowerCamelCase :			str    		=[0]
				lowerCamelCase :			List[str]    		=0







		def       __lowercase (		self      ,  __lowercase )					-> None:
				lowerCamelCase :			int    		=self.__heap[i]
				while i // 2 > 0:
						if self.__heap[i] > self.__heap[i // 2]:
								lowerCamelCase :			Dict    		=self.__heap[i // 2]
								lowerCamelCase :			Union[str, Any]    		=temporary
						i //= 2







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







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







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







		@property
		def       __lowercase (		self )					-> int:
				return self.__heap[1:]







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


if __name__ == "__main__":
				import doctest

				doctest.testmod()
				# create an instance of BinaryHeap
				snake_case_				=      BinaryHeap()
				binary_heap.insert(6)
				binary_heap.insert(1_0)
				binary_heap.insert(1_5)
				binary_heap.insert(1_2)
				# 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))








def        A__						(							SCREAMING_SNAKE_CASE_ = 1_0_0_0		) ->  int:
		lowerCamelCase :			Dict    		=[]
		lowerCamelCase :			Dict    		=[]
		lowerCamelCase :			Union[str, Any]    		=3
		lowerCamelCase :			List[str]    		=5
		lowerCamelCase :			Union[str, Any]    		=1
		while True:
				lowerCamelCase :			Dict    		=z * temp
				if result < n:
						zmulti.append(SCREAMING_SNAKE_CASE_		)
						temp += 1
				else:
						lowerCamelCase :			List[Any]    		=1
						break
		while True:
				lowerCamelCase :			Optional[Any]    		=x * temp
				if result < n:
						xmulti.append(SCREAMING_SNAKE_CASE_		)
						temp += 1
				else:
						break
		lowerCamelCase :			str    		=list(set(xmulti + zmulti		)		)
		return sum(SCREAMING_SNAKE_CASE_		)


if __name__ == "__main__":
				print(F"""{solution() = }""")

