C++ basic guessing game

guessinggame.cpp

#include <iostream>

int divideAndConquer(int min, int max);
int main()
{

    int current = 50, max = 100, prev = 0;
    std::string next;
    std::string posAns = "y";
    std::string negAns = "n";
    std::string confirmation = "c";

    std::cout << "Is your number greater than " << current << "? (" << posAns << "/" << negAns << " or " << confirmation << " to confirm):" << std::endl;
    while (std::cin >> next)
    {
        if (next == posAns)
        {
            if ((max - current) == 2)
            {
                std::cout << "Your number was " << current + 1 << std::endl;
                break;
            }
            prev = current;
        }
        else if (next == negAns)
        {
            if ((current - prev) == 2)
            {
                std::cout << "Your number was " << current + 1 << std::endl;
                break;
            }
            max = current;
        }
        else if (next == confirmation)
        {
            std::cout << "Your number was " << current << std::endl;
            break;
        }
        else
        {
            break;
        }
        current = divideAndConquer(prev, max);
        std::cout << "Is your number greater than " << current << "? (" << posAns << "/" << negAns << " or " << confirmation << " to confirm):" << std::endl;
    }

    return 0;
}

int divideAndConquer(int min, int max)
{
    return min + ((max - min) / 2);
}