Question: Give pseudocode for Euclids Algorithm and Euclids-Extended Algorithm. What is the complexity of each Algorithm? Prove that your answers are correct. Prove that If gcd(a,n)

Give pseudocode for Euclids Algorithm and Euclids-Extended Algorithm. What is the complexity of each Algorithm? Prove that your answers are correct. Prove that If gcd(a,n) = 1 then there is an integer b such that ab = 1 (mod n). Describe how to compute b given that gcd(a,n) = 1.

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