Hidden Polynomials (Alan Yan)
Alice is sending a top secret polynomial, $$P(x)$$, to Bob. You want to know the equation of $$P(x)$$. In your attempts to intercept their message, you discover only two facts about $$P(x)$$:
It’s coefficients are in the set $${0, 1, 2, …, 1000}$$.
$$P(2017) = 49189926321482294101673925793095$$
The flag will be $$P(1)$$.