Question: Problem 4 (5 points). Consider the following Euclidean algorithm for computing the greatest common divisor of two integers a,b>0 : 1. function Euclid(a,b) 2. while

Problem 4 (5 points). Consider the following Euclidean algorithm for computing

Problem 4 (5 points). Consider the following Euclidean algorithm for computing the greatest common divisor of two integers a,b>0 : 1. function Euclid(a,b) 2. while b>0 3. tb; 4. bamodb; 5. at 6. return a Assume a>b. Prove that the algorithm terminates in O(log2a) iterations

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