Реализация ф-ции удаления элемента из списка

#include "stdafx.h"
#include "iostream"
#include "fstream"
 
using namespace std;
const int siz = 30;
class students
{
public:
    char sur[siz];
    char name[siz];
    char sex[6];
    int born, id;
    void input()
    {
        cout << "Type ID: "; cin >> id;
        cout << "Type a surname of student: "; cin >> sur;
        cout << "Type a name of student: "; cin >> name;
        cout << "Type the year of student's birth: "; cin >> born;
        cout << "Type a student's sex: "; cin >> sex;
    }
    
    friend ostream& operator<<(ostream& s, students& ob);
    void rec()
    {
        ofstream F("xxx.txt", ios::app);
        F << "Surname of the student: " << sur << endl;
        F << "Name of the student: " << name << endl;
        F << "The year of student's birth: " << born << endl;
        F << "Student's sex: " << sex << endl;
 
            F << endl;
        F.close();
    }
};
 
ostream& operator<<(ostream& s, students& ob)
    {
        cout << "ID: " << ob.id << endl;
        cout << "Surname of the student: " << ob.sur << endl;
        cout << "Name of the student: " << ob.name << endl;
        cout << "The year of student's birth: " << ob.born <<endl;
        cout << "Student's sex: " << ob.sex << endl;
        return s;
        
    }
template <class type>
struct info
{
    type data;
    int n;
    info* next;
};
template <class type>
class infolist
{
public:
    info <type>* first;
    infolist()
    {
        first = NULL;
    }
    void display();
    void additem(type d);
    void burner(type d, int k);
};
template <class type>
    void infolist <type>::additem(type d)
    {
        info <type>* newinfo = new info <type>;
        newinfo->data = d;
        newinfo->next = first;
        first = newinfo;
 
    }
 
    template <class type>
    void infolist <type>::display()
    {
 
        info <type>*current = first;
        while (current != NULL)
        {
            cout << current->data;
            current = current->next;
        }
    }
    template <class type>
 
    void infolist <type>::burner(type d, int k)
    {
        info <type>* newinfo = new info <type>;
        info <type>*current = first;
        newinfo->data = d;
 
        for (int i = 0; i < k; i++)
        {
            cout << current->data;
            if (i == k && k == d.id) { current = current->next; }
            
        }
 
            
        
    }
        
    
 
int main()
{
    infolist <students> obj;
    students baseobj;
    int k, choise, p;
    do
    {
        cout << "1. Create a list " << endl;
        cout << "2. Show me records" << endl;
        cout << "3. Delete record" << endl;
        cout << "4. Save records in file" << endl;
        cout << "5. EXIT..." << endl;
        cin >> k;
        switch (k)
        {
        case 1: {cout << "Type amount of records: "; cin >> choise;
            for (int i = 1; i <= choise; i++)
            {
                baseobj.input();
                obj.additem(baseobj);
            } break; }
        case 2: { obj.display(); break; }
        case 3: { cout << "Type id to delete record: "; cin >> p; obj.burner(baseobj,p); break; }
        case 4: {baseobj.rec(); break; }
        case 5: system("exit"); break;
        default: cout << "Ooops, something went wrong";
            break;
        }
    } while (k != 5);
    
    cout << endl;
    system("PAUSE");
    return 0;
}

void infolist <type>::burner(int k)
{
    info <type>* prev = NULL;
    info <type>* current = first;
    while (current != NULL)
    {
        if (current->data.id == k)
        {
            if (prev != NULL)
                prev->next = current->next;
            else
                first = current->next;
            delete current;
            return;
        }
        prev = current;
        current = current->next;
    }
}