Confused about why this RNG doesn't ever generate a random first number.

rngfail.cpp

// When this program is executed multiple times, the first number generated is always the same.
// The other numbers in the 5 number sequence are random.
// I'm confused about why the first number isn't random

#include <iostream>
#include <random>
#include <time.h>

using namespace std;

int main()
{
    const int upper_bound = 100;
    const int lower_bound = 1;

    default_random_engine e(time(0));
    uniform_int_distribution<int> u(lower_bound, upper_bound);
       
    for (int counter = 1; counter <= 5; counter++)
    {
        int secret = u(e);
        cout << secret << endl;
    }   
    return 0;
}

Answered in this stack overflow question