Big Java Late Objects
2nd Edition
ISBN: 9781119330455
Author: Horstmann
Publisher: WILEY
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Textbook Question
Chapter 5.9, Problem 38SC
Consider this recursive method:
public static int mystery(int n)
{
if (n <= 0) { return 0; }
return mystery(n / 2) + 1;
}
What is mystery(20)?
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Solve in javaFX
Given the following recursive method, what is the return value of a call to mystery(18)?
public static int mystery(int z){ if (z == 0){ return 2; } else{ return z * mystery(z - 3); }}
In Java
Ackermann’s Function
Ackermann’s function is a recursive mathematical algorithm that can be used to test how well a computer performs recursion.
Write a method ackermann(m, n), which solves Ackermann’s function. Use the following logic in your method:
If m = 0 then return n + 1
If n = 0 then return ackermann(m - 1, 1)
Otherwise, return ackermann(m - 1, ackermann(m, n - 1))
Test your method in a program that displays the return values of the following method calls:
ackermann(0, 0) ackermann(0, 1) ackermann(1, 1) ackermann(1, 2)ackermann(1, 3) ackermann(2, 2) ackermann(3, 2)
Chapter 5 Solutions
Big Java Late Objects
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