Problem Solving with C++ (10th Edition)
10th Edition
ISBN: 9780134448282
Author: Walter Savitch, Kenrick Mock
Publisher: PEARSON
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Textbook Question
Chapter 14, Problem 1PP
The formula for computing the number of ways of choosing r different things from a set of n things is the following:
C(n, r)=n!/(r! *(n−r)!)
The factorial function n! is defined by
n!=n*(n−1)*(n−2)*…*1
Discover a recursive version of this formula and write a recursive function that computes the value of the formula. Embed the function in a
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Write the definition of a recursive function
int simpleSqrt(int n)
The function returns the integer square root of n, meaning the biggest integer whose square is less than or equal to n. You may
assume that the function is always called with a nonnegative value for n.
Use the following algorithm:
If n is 0 then return 0.
Otherwise, call the function recursively with n-1 as the argument to get a number t. Check whether or not t+1 squared is strictly
greater than n. Based on that test, return the correct result.
For example, a call to simpleSqrt(8) would recursively call simpleSqrt(7) and get back 2 as the answer. Then we would square (2+1)
= 3 to get 9. Since 9 is bigger than 8, we know that 3 is too big, so return 2 in this case.
On the other hand a call to simpleSqrt(9) would recursively call simpleSqrt(8) and get back 2 as the answer. Again we would square
(2+1) = 3 to get back 9. So 3 is the correct return value in this case.
Write a recursive function that returns the nth Fibonacci number from the Fibonacciseries.int fib(int n);
Write a recursive function that returns the sum of the digits of an integer.int sumOfDigits(int x);
Chapter 14 Solutions
Problem Solving with C++ (10th Edition)
Ch. 14.1 - Prob. 1STECh. 14.1 - Prob. 2STECh. 14.1 - Prob. 3STECh. 14.1 - Prob. 4STECh. 14.1 - Prob. 5STECh. 14.1 - If your program produces an error message that...Ch. 14.1 - Write an iterative version of the function cheers...Ch. 14.1 - Write an iterative version of the function defined...Ch. 14.1 - Prob. 9STECh. 14.1 - Trace the recursive solution you made to Self-Test...
Ch. 14.1 - Trace the recursive solution you made to Self-Test...Ch. 14.2 - What is the output of the following program?...Ch. 14.2 - Prob. 13STECh. 14.2 - Redefine the function power so that it also works...Ch. 14.3 - Prob. 15STECh. 14.3 - Write an iterative version of the one-argument...Ch. 14 - Prob. 1PCh. 14 - Prob. 2PCh. 14 - Write a recursive version of the search function...Ch. 14 - Prob. 4PCh. 14 - Prob. 5PCh. 14 - The formula for computing the number of ways of...Ch. 14 - Write a recursive function that has an argument...Ch. 14 - Prob. 3PPCh. 14 - Prob. 4PPCh. 14 - Prob. 5PPCh. 14 - The game of Jump It consists of a board with n...Ch. 14 - Prob. 7PPCh. 14 - Prob. 8PP
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