}
    printf("There are %u antinodes within the map.\n", nanti);
}

/* === aoc202407 =======================================================
   Part one looks easy
   Part two also easy
   ===================================================================== */

static unsigned long long concat(unsigned long long a, unsigned long long b) {
        unsigned long long r = a, t = b;
        while (b) {
                r *= 10;
                b /= 10;
        }
        return r + t;
}

static int operatorsrequired(unsigned long long v, unsigned long long *a, size_t n, int minop) {
        // assumes no unsigned long long overflowing
        if (n == 1) {
                if (v == *a) return minop;
                return 0;
    }
    unsigned long long tmp = a[1];
    int pplus, pmult, pconcat = 0;
    a[1] = a[0] + tmp;
    pplus = operatorsrequired(v, a+1, n-1, 2);
    a[1] = tmp;
    a[1] = a[0] * tmp;