一个教学系统至少有学生和教师两种类型的人员，假设教师的数据有教师编号、姓名、年龄、性别、职称和系别，学生的数据有学号、姓名、年龄、性别、班级和语文、数学、英语三门课程的成绩。编程完成学生和教师档案数据的输入和显示。要求如下： 设计三个类Person、Teacher、Student，Person是Teacher和Student的基类，具有此二类共有的数据成员姓名、年龄、性别，并具有输入和显示这些数据的成员函数；Teacher类继承了Person类的功能，并增加对教师编号、职称和系别等数据成员进行输入和显示的成员函数。按同样的方法完善Student类的设计。 对本题目进行以下扩展： （1） 在Person的派生类中增加学生（Student）类人员，教师分为普通教师（Teacher）、院长（Chancellor）和系主任（Dean）三类。所有教师都有基本工资（salary），普通教师的总收入income由基本工资和课时费构成。一个教师要管理若干学生，而一个学生只有一位教师作导师； （2） 院长和系主任都从普通教师中产生，院长的总收入由年薪和基本工资构成，系主任的总收入由基本工资和每有绩效构成。他们每年须完成指定课时的教学任务，但不计课时报酬。c++代码实现

以下是C++代码实现：

#include <iostream>
#include <string>
#include <vector>

using namespace std;

class Person {
public:
    string name;
    int age;
    char gender;

    virtual void input() {
        cout << "Name: ";
        cin >> name;
        cout << "Age: ";
        cin >> age;
        cout << "Gender(M/F): ";
        cin >> gender;
    }

    virtual void display() {
        cout << "Name: " << name << endl;
        cout << "Age: " << age << endl;
        cout << "Gender: " << gender << endl;
    }
};

class Teacher : public Person {
public:
    int teacher_id;
    string title;
    string department;

    void input() {
        Person::input();
        cout << "Teacher ID: ";
        cin >> teacher_id;
        cout << "Title: ";
        cin >> title;
        cout << "Department: ";
        cin >> department;
    }

    void display() {
        Person::display();
        cout << "Teacher ID: " << teacher_id << endl;
        cout << "Title: " << title << endl;
        cout << "Department: " << department << endl;
    }
};

class Student : public Person {
public:
    string student_id;
    string grade;
    double chinese_score;
    double math_score;
    double english_score;

    void input() {
        Person::input();
        cout << "Student ID: ";
        cin >> student_id;
        cout << "Grade: ";
        cin >> grade;
        cout << "Chinese Score: ";
        cin >> chinese_score;
        cout << "Math Score: ";
        cin >> math_score;
        cout << "English Score: ";
        cin >> english_score;
    }

    void display() {
        Person::display();
        cout << "Student ID: " << student_id << endl;
        cout << "Grade: " << grade << endl;
        cout << "Chinese Score: " << chinese_score << endl;
        cout << "Math Score: " << math_score << endl;
        cout << "English Score: " << english_score << endl;
    }
};

class Chancellor : public Teacher {
public:
    double annual_salary;

    void input() {
        Teacher::input();
        cout << "Annual Salary: ";
        cin >> annual_salary;
    }

    void display() {
        Teacher::display();
        cout << "Annual Salary: " << annual_salary << endl;
    }

    double get_income() {
        return annual_salary + Teacher::salary;
    }
};

class Dean : public Teacher {
public:
    double performance;

    void input() {
        Teacher::input();
        cout << "Performance: ";
        cin >> performance;
    }

    void display() {
        Teacher::display();
        cout << "Performance: " << performance << endl;
    }

    double get_income() {
        return Teacher::salary + performance;
    }
};

class Management {
public:
    vector<Student> students;
    vector<Teacher*> teachers;

    void add_student() {
        Student student;
        student.input();
        students.push_back(student);
    }

    void add_teacher() {
        Teacher* teacher;
        int type;
        cout << "Enter teacher type(1: Normal Teacher, 2: Chancellor, 3: Dean): ";
        cin >> type;
        switch(type) {
            case 1:
                teacher = new Teacher();
                break;
            case 2:
                teacher = new Chancellor();
                break;
            case 3:
                teacher = new Dean();
                break;
            default:
                cout << "Invalid teacher type." << endl;
                return;
        }
        teacher->input();
        teachers.push_back(teacher);
    }

    void display_students() {
        for (int i = 0; i < students.size(); i++) {
            students[i].display();
            cout << endl;
        }
    }

    void display_teachers() {
        for (int i = 0; i < teachers.size(); i++) {
            teachers[i]->display();
            cout << endl;
        }
    }

    void assign_teacher() {
        int teacher_id;
        string student_id;
        cout << "Enter teacher ID: ";
        cin >> teacher_id;
        for (int i = 0; i < teachers.size(); i++) {
            if (teachers[i]->teacher_id == teacher_id) {
                cout << "Enter student ID: ";
                cin >> student_id;
                for (int j = 0; j < students.size(); j++) {
                    if (students[j].student_id == student_id) {
                        students[j].teacher = teachers[i];
                        cout << "Teacher assigned." << endl;
                        return;
                    }
                }
                cout << "Student not found." << endl;
                return;
            }
        }
        cout << "Teacher not found." << endl;
    }

    void calculate_income() {
        for (int i = 0; i < teachers.size(); i++) {
            double income = teachers[i]->get_income();
            cout << teachers[i]->name << "'s income is " << income << "." << endl;
        }
    }
};

int main() {
    Management management;
    int option;
    do {
        cout << "Enter option(1: Add Student, 2: Add Teacher, 3: Display Students, 4: Display Teachers, 5: Assign Teacher, 6: Calculate Income, 0: Quit): ";
        cin >> option;
        switch(option) {
            case 1:
                management.add_student();
                break;
            case 2:
                management.add_teacher();
                break;
            case 3:
                management.display_students();
                break;
            case 4:
                management.display_teachers();
                break;
            case 5:
                management.assign_teacher();
                break;
            case 6:
                management.calculate_income();
                break;
            case 0:
                cout << "Quitting program..." << endl;
                break;
            default:
                cout << "Invalid option." << endl;
                break;
        }
    } while(option != 0);
    return 0;
}