给定PersonFactory接口，要求实现该类，并以PersonFactory为父类派生学生（Student）与老师（Teacher）两个子类。学生有年级(int grade)，老师有部门（char department[50])。基类的PrintInfo依次输出编号，姓名，年龄；学生的PrintInfo除了输出基类信息，还要输出年级；老师的PrintInfo除了输出基类信息，还要输出部门。各个输出项之间用回车换行符分隔。 基类如下： class PersonFactory { int id; char name[50]; int age; public: PersonFactory(int i = 0, char * nm = 0, int a = 15);//i:id;nm:name;a:age virtual ~PersonFactory() {}; virtual void PrintInfo() { cout << id << endl; cout << name << endl; cout << age << endl; }; PersonFactory * CreateStudent(int id, char *name, int age, int grade); PersonFactory * CreateTeacher(int id, char *name, int age, char *department); }; 其中构造函数、CreateStudent与CreateTeacher需要您完成函数定义。 Student与Teacher类需要您完成所有类的编写。 部分代码已给出，请将代码补充完整。

完整代码如下：

#include <iostream>
#include <cstring>

using namespace std;

class PersonFactory {
    int id;
    char name[50];
    int age;
public:
    PersonFactory(int i = 0, char * nm = 0, int a = 15) {
        id = i;
        strcpy(name, nm);
        age = a;
    }
    virtual ~PersonFactory() {};
    virtual void PrintInfo() {
        cout << id << endl;
        cout << name << endl;
        cout << age << endl;
    };
    PersonFactory * CreateStudent(int id, char *name, int age, int grade);
    PersonFactory * CreateTeacher(int id, char *name, int age, char *department);
};

class Student : public PersonFactory {
    int grade;
public:
    Student(int i, char *nm, int a, int g) : PersonFactory(i, nm, a) {
        grade = g;
    }
    void PrintInfo() {
        PersonFactory::PrintInfo();
        cout << grade << endl;
    }
};

class Teacher : public PersonFactory {
    char department[50];
public:
    Teacher(int i, char *nm, int a, char *dep) : PersonFactory(i, nm, a) {
        strcpy(department, dep);
    }
    void PrintInfo() {
        PersonFactory::PrintInfo();
        cout << department << endl;
    }
};

PersonFactory * PersonFactory::CreateStudent(int id, char *name, int age, int grade) {
    return new Student(id, name, age, grade);
}

PersonFactory * PersonFactory::CreateTeacher(int id, char *name, int age, char *department) {
    return new Teacher(id, name, age, department);
}

int main() {
    PersonFactory *p1 = new Student(1, "Tom", 18, 3);
    PersonFactory *p2 = new Teacher(2, "Jerry", 30, "Computer Science");
    p1->PrintInfo();
    p2->PrintInfo();
    delete p1;
    delete p2;
    return 0;
}

其中，派生类的构造函数需要调用基类的构造函数来初始化成员变量，派生类的PrintInfo函数需要先调用基类的PrintInfo函数，再输出子类特有的信息。CreateStudent和CreateTeacher函数需要在类外定义，返回值为基类指针，指向派生类对象。在main函数中，分别创建学生和老师的对象，并调用PrintInfo函数输出信息，最后记得delete释放内存。