Problem Solving with C++ (9th Edition)
9th Edition
ISBN: 9780133591743
Author: Walter Savitch
Publisher: PEARSON
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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.
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X272: Recursion Programming Exercise: Is
Reverse
For function isReverse, write the two missing base case conditions. Given two strings, this
function returns true if the two strings are identical, but are in reverse order. Otherwise it
returns false. For example, if the inputs are "tac" and "cat", then the function should return true.
Examples:
isReverse("tac", "cat") -> true
Your Answer:
1 public boolean isReverse(String s1, String s2) {
2.
if >
3.
4.
else if >
return true;
return false;
5.
6.
else {
String s1first =
String s2last
return s1first.equals (s2last) &&
51. substring(0, 1);
s2, substring(s2.length() 1);
7.
8.
6.
isReverse(s1.substring(1), s2.substring(0, s2.length() 1));
{
12}
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b For func x C Solved
X b Answer X
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X270: Recursion Programming Exercise:
Count Characters
For function countChr() write the missing part of the recursive call. This function should
return the number of times that the letter "A" appears in string "str".
Recall that str.substring(a) will return the substring of str from position a to the end of
str, while str.substring (a, b) will return the substring of str starting at position a and
continuing to (but not including) the character at position b.
Examples:
countChr ("ctcoWCAt") -> 1
Your AnsSwer:
1 public int countChr(String str) {
2.
if (str.length()
return 0;
} (0
4.
{
int count = 0;
www.
5.
9.
if (str.substring(0, 1).equals("A")) {
count = 1
7.
{
9.
return count + >
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Chapter 14 Solutions
Problem Solving with C++ (9th 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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