This question concerns computational complexity. In this question, the perfect square problem is the problem of determining if a positive integer, n, is a perfect square i.e. if n = x^2 where x is a positive integer. (c) Given that Heron's algorithm always overestimates the square root, explain how Heron's algorithm can be adapted into a decision algorithm for the perfect square problem. (d) Based on the Heron-adapted algorithm, what is the complexity class of the perfect square problem? Show your reasoning.

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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This question concerns computational complexity.
In this question, the perfect square problem is the problem of determining if a positive integer, n, is a perfect square i.e. if n = x^2 where x is a positive integer.

(c) Given that Heron's algorithm always overestimates the square root, explain how Heron's algorithm can be adapted into a decision algorithm for the perfect square problem.

(d) Based on the Heron-adapted algorithm, what is the complexity class of the perfect square problem? Show your reasoning.

 

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