Let recursive algorithm F be defined as follows: F(int n): if n=1 then return 1 else return F(n-1)*n (a) i. Assuming x is a positive integer, what mathematical expression is returned by F(x)? ii. Repeat (i) but assume the line “return 1” is replaced by “return 0”?

Let recursive algorithm F be defined as follows: F(int n): if n=1 then return 1 else return F(n-1)*n (a) i. Assuming x is a positive integer, what mathematical expression is returned by F(x)? ii. Repeat (i) but assume the line “return 1” is replaced by “return 0”?

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 17PE

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Let recursive algorithm F be defined as follows:

F(int n):
if n=1 then
return 1
else
return F(n-1)*n

(a) i. Assuming x is a positive integer, what mathematical expression is returned by F(x)?
ii. Repeat (i) but assume the line “return 1” is replaced by “return 0”?

(b) Which of the following replacements for the last line will yield a function guaranteed to terminate for all valid inputs?
i. return F(n-2)+2
ii. return F( )*2
iii. return F( )*2

Process or set of rules that allow for the solving of specific, well-defined computational problems through a specific series of commands. This topic is fundamental in computer science, especially with regard to artificial intelligence, databases, graphics, networking, operating systems, and security.

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