Запись объекта класса с контейнером set в бинарный файл C++

#include "pch.h"
#include <iostream>
#include <string>
#include <fstream>
#include <set>
#include <iterator>
using namespace std;
 
class Set {
private:
    set<int> s;
    int elem;
public:
    unsigned int id;
    void setElement() {
        cout << "Enter element u want to add to the set: ";
        cin >> elem;
        s.insert(elem);
    }
 
    void getdata() {
        cout << "Set #" << id << " = { ";
        //copy(s.begin(), s.end(), ostream_iterator<int>(cout, " "));
        for (auto i : s) { cout << i << " "; }
        cout << "};" << endl;
    }
};
 
 
void create_set() {
    unsigned int *uid = new unsigned int;
    cout << "\nPlease enter the ID: ";
    cin >> *uid;
    Set S;
    ifstream I;
 
    I.open("Sets.txt", ios_base::app | ios_base::binary | ios_base::in);
    while (I.read((char*)&S, sizeof(Set))) {
        if (*uid == S.id) { cout << "ERROR. ID#" << *uid << " IS ALREADY IN USE. RETURNING TO MENU...\a\n\n"; delete uid; I.close(); return; }
    }
    ofstream O;
    O.open("Sets.txt", ios_base::app | ios_base::binary | ios_base::out);
    S.id = *uid;
    //S.getdata();
    O.write((char*)&S, sizeof(Set));
    O.close();
    delete uid;
    cout << "New set has been successfully created.\n\n";
}
void inclusion_element() {
    Set S;
    ifstream I;
    I.open("Sets.txt", ios_base::binary | ios_base::in);
    if (!I.is_open()) { cout << "ERROR. FILE WITH SETS DOES NOT EXIST.\a\n\n"; return; }
    unsigned int *uid = new unsigned int;
    cout << "\nPlease enter the ID: ";
    cin >> *uid;
    bool check = false;
    ofstream O;
    O.open("Sets.txt", ios_base::app | ios_base::binary | ios_base::out);
    while (I.read((char*)&S, sizeof(S))) {
        if (S.id == *uid) {
            S.setElement();
            O.write((char*)&S, sizeof(S));
            cout << "New element has been successfully entered to the set.\n\n";
            cout << "---------------------\n";
            check = true;
        }
    }
    delete uid;
    I.close();
    O.close();
    if (check == false)cout << "ERROR. SET DOES NOT EXIST.\a\n\n";
}
 
void display_sets() {
    Set S;
    ifstream F;
    F.open("Sets.txt", ios_base::binary);
    if (!F.is_open()) { cout << "ERROR. FILE WITH RECORDS DOES NOT EXIST.\a\n\n"; return; }
    cout << "\n\t| LIST OF ALL SETS |\n";
    while (F.read((char*)&S, sizeof(S))) {
        S.getdata();
        cout << "------------------------------------------" << endl;
    }
    F.close();
}
 
void delete_file() {
    cout << "Are you sure you want to clear the file? (Enter \"YES\" or \"NO\")\n";
    string choose;
    cin >> choose;
    if (choose == "YES" || choose == "yes" || choose == "Yes") { remove("Sets.txt"); cout << "File was successfully deleted.\n\n" << endl; return; }
    else if (choose == "NO" || choose == "no" || choose == "No") { return; }
    else { delete_file(); }
}
 
 
void menu() {
    char ch;
    do {
        cout << "\n\tMAIN MENU";
        cout << "\nD. DISPLAY SETS";
        cout << "\n1. CREATE AN EMPTY SET";
        cout << "\n2. INCLUSION OF AN ELEMENT IN A SET";
        cout << "\n3. EXCLUSION OF AN ELEMENT FROM THE SET";
        cout << "\n4. CHECKING THE ENTRY OF AN ELEMENT IN A SET";
        cout << "\n5. THE UNION OF TWO SETS";
        cout << "\n6. THE INTERSECTION OF TWO SETS";
        cout << "\n7. THE DIFFERENCE OF TWO SETS";
        cout << "\n8. CHECKING THE EQUALITY OF TWO SETS";
        cout << "\n9. CLEAR THE FILE";
        cout << "\n0. EXIT";
        cout << "\n\nEnter your choice (1-9): ";
        cin >> ch;
        switch (ch)
        {
        case 'D': display_sets(); break;
        case '1': create_set(); break;
        case '2': inclusion_element(); break;
            //case '3': exclusion_element(); break;
            //case '4': check_element(); break;
            //case '5': union_of_sets(); break;
            //case '6': intersection_of_sets(); break;
            //case '7': difference_of_sets(); break;
            //case '8': check_equality(); break;
        case '9': delete_file(); break;
        case '0': break;
        default: cout << "\a"; menu();
        }
    } while (ch != '0');
}
 
 
int main() {
    menu();
    return 0;
}

class A
{
public:
    A() : m_data(new int[10]())
    { }
    ~A()
    { delete[] m_data; }
 
private:
    int * m_data;
};