class BinaryHeap:
    """
    A max-heap implementation in Python
    >>> binary_heap = BinaryHeap()
    >>> binary_heap.insert(6)
    >>> binary_heap.insert(10)
    >>> binary_heap.insert(15)
    >>> binary_heap.insert(12)
    >>> binary_heap.pop()
    15
    >>> binary_heap.pop()
    12
    >>> binary_heap.get_list
    [10, 6]
    >>> len(binary_heap)
    2
    """

    def __init__(self):
        self.__heap = [0]
        self.__size = 0

    def __swap_up(self, i: int) -> None:
        """ Swap the element up """
        temporary = self.__heap[i]
        while i // 2 > 0:
            if self.__heap[i] > self.__heap[i // 2]:
                self.__heap[i] = self.__heap[i // 2]
                self.__heap[i // 2] = temporary
            i //= 2

    def insert(self, value: int) -> None:
        """ Insert new element """
        self.__heap.append(value)
        self.__size += 1
        self.__swap_up(self.__size)

    def __swap_down(self, i: int) -> None:
        """ Swap the element down """
        while self.__size >= 2 * i:
            if 2 * i + 1 > self.__size:
                bigger_child = 2 * i
            else:
                if self.__heap[2 * i] > self.__heap[2 * i + 1]:
                    bigger_child = 2 * i
                else:
                    bigger_child = 2 * i + 1
            temporary = self.__heap[i]
            if self.__heap[i] < self.__heap[bigger_child]:
                self.__heap[i] = self.__heap[bigger_child]
                self.__heap[bigger_child] = temporary
            i = bigger_child

    def pop(self) -> int:
        """ Pop the root element """
        max_value = self.__heap[1]
        self.__heap[1] = self.__heap[self.__size]
        self.__size -= 1
        self.__heap.pop()
        self.__swap_down(1)
        return max_value

    @property
    def get_list(self):
        return self.__heap[1:]

    def __len__(self):
        """ Length of the array """
        return self.__size


if __name__ == "__main__":
    import doctest

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