4. (20 marks) Let p EN, P prime, p > 4, and h EN such that 1 p, {a,b,c} CE. We have that 8(q, a) = q + (p - 2)h mod p, for all states q E Q. In these conditions: (a) show by induction on n that for all n > 0 and q

4, and h EN such that 1 p, {a,b,c} CE. We have that 8(q, a) = q + (p - 2)h mod p, for all states q E Q. In these conditions: (a) show by induction on n that for all n > 0 and q