Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Textbook Question
Chapter 5, Problem 15C
Write a recursive method that will output all the subsets of a set of n elements (without repeating any subsets).
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Write a recursive method that for a positive integer returns a string with commas in the appropriate places, for example, putCommas(1234567) returns the string “1,234,567.”
1. Write a recursive method expFive(n) to compute y=5^n. For instance, if n is 0, y is 1. If n is 3,
then y is 125. If n is 4, then y is 625. The recursive method cannot have loops. Then write a
testing program to call the recursive method. If you run your program, the results should look like
this:
> run RecExpTest
Enter a number:
3
125
>run RecExpTest
Enter a number:
3125
2. For two integers m and n, their GCD(Greatest Common Divisor) can be computed by a
recursive function. Write a recursive method gcd(m,n) to find their Greatest Common
Divisor. Once m is 0, the function returns n. Once n is 0, the function returns m. If neither
is 0, the function can recursively calculate the Greatest Common Divisor with two
smaller parameters: One is n, the second one is m mod n. Although there are other
approaches to calculate Greatest Common Divisor, please follow the instructions in
this question, otherwise you will not get the credit. Meaning your code needs to follow
the given algorithm.
Then…
The following recursive method get Number Equal searches the array x of 'n integers
for occurrences of the integer val. It returns the number of integers in x that are
equal to val. For example, if x contains the 9 integers 1, 2, 4, 4, 5, 6, 7, 8, and 9,
then getNumberEqual(x, 9, 4) returns the value 2 because 4 occurs twice in x.
public static int getNumberEqual(int x[], int n, int val) {
if (n< 0) (
return 0;
}
else {
if (x[n-1) == val) {
return getNumberEqual(x, n-1, val) +1;
}
else {
return getNumber Equal(x, n-1, val);
} // end if
) // end if
} // end get Number Equal
Demonstrate that this method is recursive by listing the criteria of a recursive
solution and stating how the method meets each criterion.
Chapter 5 Solutions
Data Structures and Algorithms in Java
Ch. 5 - Prob. 1RCh. 5 - Prob. 2RCh. 5 - Prob. 3RCh. 5 - Prob. 4RCh. 5 - Prob. 5RCh. 5 - Draw the recursion trace for the execution of...Ch. 5 - Prob. 7RCh. 5 - Describe a recursive algorithm for converting a...Ch. 5 - Prob. 9RCh. 5 - Prob. 10R
Ch. 5 - Prob. 11CCh. 5 - Prob. 12CCh. 5 - Give a recursive algorithm to compute the product...Ch. 5 - In Section 5.2 we prove by induction that the...Ch. 5 - Write a recursive method that will output all the...Ch. 5 - In the Towers of Hanoi puzzle, we are given a...Ch. 5 - Write a short recursive Java method that takes a...Ch. 5 - Write a short recursive Java method that...Ch. 5 - Use recursion to write a Java method for...Ch. 5 - Write a short recursive Java method that...Ch. 5 - Prob. 21CCh. 5 - Prob. 22CCh. 5 - Prob. 23CCh. 5 - Isabel has an interesting way of summing up the...Ch. 5 - Prob. 25CCh. 5 - Prob. 26CCh. 5 - Prob. 27PCh. 5 - Write a program for solving summation puzzles by...Ch. 5 - Prob. 29PCh. 5 - Write a program that can solve instances of the...
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