timus 2002. Test Task

#include <iostream>
#include <string>
#include <set>
using namespace std;

class Person { 
public:
        Person(string name, string password) : name(name), password(password) { }
        bool operator < (const Person& next) const   //don't forget const
        { return name < next.name; }
        bool operator == (const Person& next) const 
        { return name == next.name; }
        const string getPassward() const { return password; }
private:
        string name;
        string password;
};

int main()
{
    int n;
    while (cin >> n) {
        set<Person> regPerson;
        set<Person> logedPerson;
        while (n--) {
            string operation;
            cin >> operation;

            if (operation == "register") {
                string name, password;
                cin >> name >> password;
                Person p(name, password);
                if (regPerson.empty()) {
                    regPerson.insert(p);
                    cout << "success: new user added\n";
                    continue;
                }

                set<Person>::iterator it = regPerson.find(p);
                if (it == regPerson.end()) {
                    cout << "success: new user added\n";
                    regPerson.insert(p);
                } else {
                    cout << "fail: user already exists\n";
                }

            } else if (operation == "login") {
                string name, password;
                cin >> name >> password;
                Person p(name, password);
                set<Person>::iterator it = regPerson.find(p);

                if (logedPerson.empty()) {
                    if (it == regPerson.end()) {
                        cout << "fail: no such user\n";
                    } else {
                        if (p.getPassward() != it->getPassward()) {
                            cout << "fail: incorrect password\n";
                        } else {
                            cout << "success: user logged in\n";
                            logedPerson.insert(p);
                        }
                    }
                    continue;
                }

                if (it == regPerson.end()) {
                    cout << "fail: no such user\n";
                } else {
                    if (p.getPassward() != it->getPassward()) {
                        cout << "fail: incorrect password\n";
                    } else {
                        if (logedPerson.find(p) != logedPerson.end()) {
                            cout << "fail: already logged in\n";
                        } else {
                            cout << "success: user logged in\n";
                            logedPerson.insert(p);
                        }
                    }
                }

            } else if (operation == "logout") {
                string name;
                cin >> name;
                Person p(name, "");
                set<Person>::iterator it = regPerson.find(p);
                if (it == regPerson.end()) {
                    cout << "fail: no such user\n";
                } else {
                    set<Person>::iterator it = logedPerson.find(p);
                    if (it == logedPerson.end()) {
                        cout << "fail: already logged out\n";
                    } else {
                        cout << "success: user logged out\n";
                        logedPerson.erase(it);
                    }
                }
            }
        }
    }
    return 0;
}