Birthday Paradox: C++ Simulation

#include<iostream>
#include<cstdlib>
#include<ctime>
using namespace std;

int main()
{
        srand(time(0));
        bool            birthday  [365] = {false};
        bool            done = false;
        int             count = 0;

        while (!done) {
                int             next = rand() % 365;
                count++;
                if (birthday[next] == false)
                        birthday[next] = true;
                else
                        done = true;
        }
        cout << "Count: " << count << endl;
}