Please answer fast Question 1   Answer following questions and write corresponding algorithms.   Algorithm: sqrt(n) [main] 1. return sqrtHelper(Arg 1, Arg 2)   Algorithm: sqrtHelper(n,m)   1. if m*m <= n 2. return m 3. else 4. return sqrtHelper(Arg 3, Arg 4) 5. endif   (a) Write an recursive algorithm called isPrime(n) that takes a positive integer and returns True if it is prime and False otherwise. You must call the function sqrt(n) as a sub- algorithm.   Trace your algorithm for isPrime(41). You only need to show the detail in the main algorithm and its helper function (if there is any).

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
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Question 1

 

Answer following questions and write corresponding algorithms.

 

Algorithm: sqrt(n) [main]

1. return sqrtHelper(Arg 1, Arg 2)

 

Algorithm: sqrtHelper(n,m)

 

1. if m*m <= n

2. return m

3. else

4. return sqrtHelper(Arg 3, Arg 4)

5. endif

 

(a) Write an recursive algorithm called isPrime(n) that takes a positive integer and returns True if it is prime and False otherwise. You must call the function sqrt(n) as a sub- algorithm.

 

Trace your algorithm for isPrime(41). You only need to show the detail in the main algorithm and its helper function (if there is any).

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