虚拟继承和参数化构造函数

可能的重复项：
默认构造函数和虚拟继承

class Base
{
private:
    int number;
protected:
    Base(int n) : number(n) {}
public:
    virtual void write() {cout << number;}     
};
class Derived1 : virtual public Base
{
private:
    int number;
protected:
    Derived1(int n, int n2) : Base(n), number(n2) {}
public:
    virtual void write() {Base::write(); cout << number;}
};
class Derived2 : virtual public Base
{
private:
    int number;
protected:
    Derived2(int n, int n2) : Base(n), number(n2) {}
public:
    virtual void write() {Base::write(); cout << number;}
};
class Problematic : public Derived1, public Derived2
{
private:
    int number;
public:
    Problematic(int n, int n2, int n3, int n4) : Derived1(n, n2), Derived2(n, n3), number(n4) {}
    virtual void write() {Derived1::write(); Derived2::write(); cout << number;}
};
int main()
{
    Base* obj = new Problematic(1, 2, 3, 4);
    obj->write();
}

换句话说：

Base
| 
|  
|   
|    
D1   D2
|    /
|   /
|  /
| /
Problematic

我正在尝试在输出上获取"1 2 1 3 4"。然而，编译器一直抱怨我在 Base 中需要一个无参数构造函数，但是当我添加一个时，"1"变成了垃圾。关于如何处理它的任何想法？是否可以使用参数化构造函数求解菱形图案？