Here is a question about proof by strong induction on Greatest Common Divisor. I
ID: 3824165 • Letter: H
Question
Here is a question about proof by strong induction on Greatest Common Divisor. I appreciate your help, and I will give thumbs up if your answer is on the right track.
(a) Prove by (strong) induction on b that for all a and b, (i.e. a and b are integers and they can be positive or negative and a can be zero, which means your answer needs to cover all different range of a&b), there exists and t such that gcd(a, b) = sa + tb.
(b) Use your proof to nd s and t such that s * 93 + t * 16 = 1.
Thanks so much!!