EBK DATA STRUCTURES AND ALGORITHMS IN C
4th Edition
ISBN: 9781285415017
Author: DROZDEK
Publisher: YUZU
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Chapter 5, Problem 11E
Program Plan Intro
Recursive method to find Greatest Common Divisor (GCD) of two numbers:
Recursive method:
- A recursive method is any method that calls itself.
- In recursive function base case will stop recursion and return value instead of calling function.
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Consider the following recursive function:
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8- Determine if each of the following recursive definition is a valid recursive definition of a function
f from a set of non-negative integers. If f is well defined, find a formula for f(n) where n is non-
negative and prove that your formula is valid.
a. f(0) = 2,f(1) = 3, f(n) = f(n-1)-1 for n ≥ 2
b. f(0) = 1,f(1) = 2, f(n) = 2f (n-2) for n = 2
In C programming
Mathematically, given a function f, we recursively define fk(n) as follows: if k = 1, f1(n) = f(n). Otherwise, for k > 1, fk(n) = f(fk-1(n)). Assume that there is an existing function f, which takes in a single integer and returns an integer. Write a recursive function fcomp, which takes in both n and k (k > 0), and returns fk(n).
int f(int n);int fcomp(int n, int k){
Chapter 5 Solutions
EBK DATA STRUCTURES AND ALGORITHMS IN C
Ch. 5 - Prob. 1ECh. 5 - Prob. 2ECh. 5 - Prob. 3ECh. 5 - Prob. 4ECh. 5 - Prob. 5ECh. 5 - Prob. 6ECh. 5 - Prob. 7ECh. 5 - Prob. 8ECh. 5 - Prob. 9ECh. 5 - Prob. 10E
Ch. 5 - Prob. 11ECh. 5 - Prob. 12ECh. 5 - Prob. 13ECh. 5 - Prob. 14ECh. 5 - Prob. 15ECh. 5 - Prob. 16ECh. 5 - Prob. 17ECh. 5 - Prob. 18ECh. 5 - Prob. 19ECh. 5 - Prob. 20ECh. 5 - Prob. 21ECh. 5 - Prob. 22ECh. 5 - Prob. 23ECh. 5 - Prob. 24ECh. 5 - Prob. 25ECh. 5 - Prob. 26ECh. 5 - Prob. 27ECh. 5 - Prob. 28ECh. 5 - Prob. 29ECh. 5 - Prob. 1PACh. 5 - Prob. 3PACh. 5 - Prob. 4PACh. 5 - Prob. 5PA
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