Question: Using C , implement the Extended Euclidean Algorithm, see page below. This algorithm is useful for RSA cryptography. Demonstrate that it works on some examples.

Using C, implement the "Extended Euclidean Algorithm", see page below. This algorithm is useful for RSA cryptography. Demonstrate that it works on some examples.

Using C, implement the "Extended Euclidean Algorithm", see page below. This algorithm

Algorithm 8.4.1 Extended Euclidean Algorithm [Given integers A and B with A> B > 0, this algorithm com- putes gcd(A, B) and finds integers s and t such that sA +tB- gcd(A, B)] Input: A, B [integers with A > B 0] Algorithm Body: Ipre-condtion: a - SA +tB and b-uA vB] while (b t 0) loop invariant: a-SA +tB and b-uA +vB, gcd(a, b-gcd(A. B)] a mod b, q:a div b end while gcd:a Ipost-condition: gcd(A. B)-a sA +tB Output: gcd/a positive integer], s, t [integers]

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