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1) a) b) Consider the following recursive function. You can assume that it will be invoked with non-negative integers. int mystery (int n, { } = m) if (n == return n; int m) else if (n == 0) return m; else if (m == 0) return n; else return mystery(m, n % m); Trace the execution of the three function calls mystery(363, 55), mystery(126, 49), and mystery(81, 37). For each of these three cases, how many calls do each of them make until they return the answer? What are the values of the parameters in each of the calls? Which base case do they reach? What does the mystery function actually do? Can you connect it to a known algorithm for solving this problem?

1) a) b) Consider the following recursive function. You can assume that it will be invoked with non-negative integers. int mystery (int n, { } = m) if (n == return n; int m) else if (n == 0) return m; else if (m == 0) return n; else return mystery(m, n % m); Trace the execution of the three function calls mystery(363, 55), mystery(126, 49), and mystery(81, 37). For each of these three cases, how many calls do each of them make until they return the answer? What are the values of the parameters in each of the calls? Which base case do they reach? What does the mystery function actually do? Can you connect it to a known algorithm for solving this problem?

C++ Programming: From Problem Analysis to Program Design
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
Problem 8SA
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Solve the questions on recursive function; please refer to the screenshot;

1) a) b) Consider the following recursive function. You can assume that it will be invoked with non-negative integers. int mystery (int n, { } = m) if (n == return n; int m) else if (n == 0) return m; else if (m == 0) return n; else return mystery(m, n % m); Trace the execution of the three function calls mystery(363, 55), mystery(126, 49), and mystery(81, 37). For each of these three cases, how many calls do each of them make until they return the answer? What are the values of the parameters in each of the calls? Which base case do they reach? What does the mystery function actually do? Can you connect it to a known algorithm for solving this problem?
Transcribed Image Text:1) a) b) Consider the following recursive function. You can assume that it will be invoked with non-negative integers. int mystery (int n, { } = m) if (n == return n; int m) else if (n == 0) return m; else if (m == 0) return n; else return mystery(m, n % m); Trace the execution of the three function calls mystery(363, 55), mystery(126, 49), and mystery(81, 37). For each of these three cases, how many calls do each of them make until they return the answer? What are the values of the parameters in each of the calls? Which base case do they reach? What does the mystery function actually do? Can you connect it to a known algorithm for solving this problem?
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