Modular inverse
Built-in:
say 42.modinv(2017)
Algorithm implementation:
func invmod(a, n) {
var (t, nt, r, nr) = (0, 1, n, a % n)
while (nr != 0) {
var quot = int((r - (r % nr)) / nr);
(nt, t) = (t - quot*nt, nt);
(nr, r) = (r - quot*nr, nr);
}
r > 1 && return()
t < 0 && (t += n)
t
}
say invmod(42, 2017)
Output:
1969