用c++设计一个高校人员管理程序。首先设计一个基类Person（10分）,包含编号、姓名、性别数据成员以及相关的成员函数，由它派生出教师类（10分）包括编号、姓名、性别、职称和工作学院数据的输入输出；再由Person类派生出Student类（10分），Student类派生出本科生类和研究生学生类，其中本科生类（10分）包括编号、姓名、性别、班号、英语、高等数学和数据结构三门课程成绩的输入输出并计算平均分；研究生类（10分）包括编号编号、姓名、性别、研究方向、导师数据的输入输出

以下是一个可能的C++代码实现：

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

using namespace std;

// 基类Person
class Person {
public:
    Person(int id, string name, char gender) : id(id), name(name), gender(gender) {}
    virtual void displayInfo() const {
        cout << "编号：" << id << endl;
        cout << "姓名：" << name << endl;
        cout << "性别：" << gender << endl;
    }
protected:
    int id;
    string name;
    char gender;
};

// 教师类
class Teacher : public Person {
public:
    Teacher(int id, string name, char gender, string title, string college)
        : Person(id, name, gender), title(title), college(college) {}
    virtual void displayInfo() const {
        Person::displayInfo();
        cout << "职称：" << title << endl;
        cout << "学院：" << college << endl;
    }
private:
    string title;
    string college;
};

// 学生类
class Student : public Person {
public:
    Student(int id, string name, char gender, string cls) : Person(id, name, gender), cls(cls) {}
    virtual void displayInfo() const {
        Person::displayInfo();
        cout << "班号：" << cls << endl;
    }
protected:
    string cls;
};

// 本科生类
class Undergraduate : public Student {
public:
    Undergraduate(int id, string name, char gender, string cls, double english, double math, double ds)
        : Student(id, name, gender, cls), english(english), math(math), ds(ds) {}
    virtual void displayInfo() const {
        Student::displayInfo();
        cout << "英语成绩：" << english << endl;
        cout << "高等数学成绩：" << math << endl;
        cout << "数据结构成绩：" << ds << endl;
        cout << "平均分：" << calcAvg() << endl;
    }
private:
    double english;
    double math;
    double ds;
    double calcAvg() const {
        return (english + math + ds) / 3;
    }
};

// 研究生类
class Graduate : public Student {
public:
    Graduate(int id, string name, char gender, string cls, string research, string advisor)
        : Student(id, name, gender, cls), research(research), advisor(advisor) {}
    virtual void displayInfo() const {
        Student::displayInfo();
        cout << "研究方向：" << research << endl;
        cout << "导师：" << advisor << endl;
    }
private:
    string research;
    string advisor;
};

int main() {
    vector<Person*> people;
    people.push_back(new Teacher(1001, "张三", 'M', "教授", "计算机学院"));
    people.push_back(new Undergraduate(2001, "李四", 'F', "计科1班", 80, 90, 85));
    people.push_back(new Graduate(3001, "王五", 'M', "软件1班", "人工智能", "赵六"));

    for (auto p : people) {
        p->displayInfo();
        cout << endl;
    }

    for (auto p : people) {
        delete p;
    }

    return 0;
}

注意，本代码并没有包含输入数据的部分，只是展示了一个类的继承关系，并实现了派生类的部分成员函数。具体的输入和输出格式可以根据具体需求进行设计和实现。