Question: Project description: Euclids algorithm is based on applying repeatedly the equality gcd(m, n) = gcd(n, m mod n), where m mod n is the remainder

Project description:

Euclids algorithm is based on applying repeatedly the equality gcd(m, n) = gcd(n, m mod n), where m mod n is the remainder of the division of m by n, until m mod n is equal to 0.

Write a program to implement Euclids algorithm to find the following:

1. Maximum number of divisions (mod operation) made by Euclids algorithm among all inputs 1 m, n 512 (50 points)

2. Average number of divisions (mod operation) made by Euclids algorithm among all inputs 1 m, n 512 (50 points)

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