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A positive integer N is a power if it is of the form q^k, where q, k are positive integers and k > 1. Give

A positive integer N is a power if it is of the form q^k, where q, k are positive integers and k > 1.

Give an efficient algorithm that takes as input a number N and determines whether it is a square, that is, whether it can be written as q^2 for some positive integer q.

What is the running time of your algorithm?

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