EBK DATA STRUCTURES AND ALGORITHMS IN C
4th Edition
ISBN: 9781285415017
Author: DROZDEK
Publisher: YUZU
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Question
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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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){
for C++
write a progam for the greatest common divisor of integers x and y is the largest integer that evenly divides both x and y. Write a recursive function gcd that returns the greatest common divisor of x and y. The gcd of x and y is defined recursively as follows. If y is 0 the answer is x; otherwise gcd(x, y) is gcd(y, x%y).
Write a recursive function in f#, named specialSum, that has the followeing signature: int * int -> int, where
sum(m,n) = m + (m +1) + (m+2) + ... + (m + (n-1)) + (m+n)
for m >= 0 and n >= 0: (Hint use two clauses with (m,0) and (m,n) A PATTERNS.)
start code with
let rec specialSum (m,n)
match m,n with
| m,0 ->
| m,n - >
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
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