def sum_heights(nodes_array):
    result = 0
    for node in nodes_array:
        result = result + node.height
    return result


def sum_widths(depth_nodes):
    result = 0
    for depth in depth_nodes:
        max_width = 0
        for node in depth_nodes[depth]:
            if max_width < node.width:
                max_width = node.width
        result = result + max_width
    return result