获取树中定义的积分的总和和乘积

class TreeNode:
    def __init__(self, value):
        self.value = value
        self.children = []

def calculate_sum_and_product(root):
    if not root:
        return 0, 1
    
    total_sum = root.value
    total_product = root.value
    
    for child in root.children:
        child_sum, child_product = calculate_sum_and_product(child)
        total_sum += child_sum
        total_product *= child_product
    
    return total_sum, total_product

# 示例用法
# 创建一个树
root = TreeNode(1)
child1 = TreeNode(2)
child2 = TreeNode(3)
child3 = TreeNode(4)
child4 = TreeNode(5)

root.children = [child1, child2]
child2.children = [child3, child4]

# 计算积分的总和和乘积
total_sum, total_product = calculate_sum_and_product(root)

print("积分的总和：", total_sum)
print("积分的乘积：", total_product)