Answered: A triple (x, y, z) of positive integers…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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A triple (x, y, z) of positive integers is pythagorean if x² + y² = z². Using the functions studied in class, define a function pyth which returns the list of all pythagorean triples whose components are at most a given limit. For example, function call pyth(10) should return [(3, 4, 5), (4, 3, 5), (6, 8, 10), (8, 6, 10)]. [Hint: One way to do this is to construct a list of all triples (use unfold to create a list of integers, and then a for-comprehension to create a list of all triples), and then select the pythagorean ones.

def unfold[A, S](z: S)(f: S => Option[(A, S)]): LazyList[A] = f(z) match {

case Some((h, s)) => h #:: unfold(s)(f)

case None => LazyList()

}

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