Starting Out with Java: From Control Structures through Objects (6th Edition)
6th Edition
ISBN: 9780133957051
Author: Tony Gaddis
Publisher: PEARSON
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Textbook Question
Chapter 16, Problem 4MC
This is when a method explicitly calls itself.
- a. explicit recursion
- b. modal recursion
- c. direct recursion
- d. indirect recursion
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Write a recursive method which sums all the even numbers up to a given number. For example if you call it with 10, it would return 30 because 10+8+6+4+2=30 Write a RECURSIVE method called sumEven It must take in an int (the max you wish to sum to) It must return an int (the sum) If it's passed in an even number it should sum the number passed in with all the even numbers before it. For example if passed 8, it would sum 8+6+4+2=20 If it's passed an odd number it should still sum only the EVEN numbers. What we mean is that sumEven(9) should return 8+6+4+2=20. Not 9+7+5+3+1. Hint: You'll have an if statement with the base condition, an else if for even and an else if for odd. In the case of odd, just call yourself with the next lowest even number. In your main method, open a file called "Carlton.txt" for writing. Use a loop to call the method above multiple times and print a line to the file for each iteration of the loop: The sum of even numbers up to 0 is 0 The…
JAVA
Question 2:
For two integers m and n, their GCD (Greatest Common Divisor) can be computed by a recursive method. Write a recursive method gcd(m,n) to find their Greatest Common Divisor.
Method body:
If m is 0, the method returns n. If n is 0, the method returns m. If neither is 0, the method can recursively calculate the Greatest Common Divisor with two smaller parameters: One is n, the second one is m mod n (or m % n). The recursive method cannot have loops.
Note: although there are other approaches to calculate Greatest Common Divisor, please follow the instructions in this question, otherwise you will not get the credit.
main method:
Prompt and read in two numbers to find the greatest common divisor.
Call the gcd method with the two numbers as its argument. Print the result to the monitor.
Example program run:
Enter m:
12
Enter n:
28
GCD(12,28) = 4
And here is what I have so far,
package CSCI1302;import java.util.*;public class RecursionDemo {
public static void…
Indirect recursion is when function A calls
function B, which in turn calls function A.
is it true or false.
Chapter 16 Solutions
Starting Out with Java: From Control Structures through Objects (6th Edition)
Ch. 16.2 - It is said that a recursive algorithm has more...Ch. 16.2 - Prob. 16.2CPCh. 16.2 - What is a recursive case?Ch. 16.2 - What causes a recursive algorithm to stop calling...Ch. 16.2 - What is direct recursion? What is indirect...Ch. 16 - Prob. 1MCCh. 16 - This is the part of a problem that can be solved...Ch. 16 - This is the part of a problem that is solved with...Ch. 16 - This is when a method explicitly calls itself. a....Ch. 16 - Prob. 5MC
Ch. 16 - Prob. 6MCCh. 16 - True or False: An iterative algorithm will usually...Ch. 16 - True or False: Some problems can be solved through...Ch. 16 - True or False: It is not necessary to have a base...Ch. 16 - True or False: In the base case, a recursive...Ch. 16 - Find the error in the following program: public...Ch. 16 - Prob. 1AWCh. 16 - Prob. 2AWCh. 16 - What will the following program display? public...Ch. 16 - Prob. 4AWCh. 16 - What will the following program display? public...Ch. 16 - Convert the following iterative method to one that...Ch. 16 - Write an iterative version (using a loop instead...Ch. 16 - What is the difference between an iterative...Ch. 16 - What is a recursive algorithms base case? What is...Ch. 16 - What is the base case of each of the recursive...Ch. 16 - What type of recursive method do you think would...Ch. 16 - Which repetition approach is less efficient: a...Ch. 16 - When recursion is used to solve a problem, why...Ch. 16 - How is a problem usually reduced with a recursive...Ch. 16 - Prob. 1PCCh. 16 - isMember Method Write a recursive boolean method...Ch. 16 - String Reverser Write a recursive method that...Ch. 16 - maxElement Method Write a method named maxElement,...Ch. 16 - Palindrome Detector A palindrome is any word,...Ch. 16 - Character Counter Write a method that uses...Ch. 16 - Recursive Power Method Write a method that uses...Ch. 16 - Sum of Numbers Write a method that accepts an...Ch. 16 - Ackermarms Function Ackermanns function is a...Ch. 16 - Recursive Population Class In Programming...
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- Do not use static variables to implement recursive methods. USING JAVA USING: // P5 public static long computePay(int day) { } You have been offered a job that pays as follows: On the first day, you are paid 1 cent, on the second day, 2 cents, on the third day, 4 cents and so on. In other words, your pay doubles every day. Write a recursive method computePay that for a given day number computes the pay in cents. Assume that you accumulate all the money that you are paid. Write a recursive method computeSavings that computes the sum that you have accumulated on a given day. Show the output of computePay and computeSavings for day number 39.arrow_forward1. Let product(n,m) be a recursive addition-subtraction method for multiplying two positive integers. Recursive cases for m = 1 and m < 1 make this method. The return value should be n plus a recursive product() call with n and m - 1. Test a Java method.arrow_forwardUsing JAVA Recursive Power Method Write a method called powCalthat uses recursion to raise a number to a power. The method should accept two arguments: The first argument is the exponentand the second argument is the number to be raised(example”powCal(10,2)means2^10). Assume that the exponent is anonnegative integer. Demonstrate the method in a program called Recursive (This means that you need to write a program that has at least two methods: mainand powCal. The powCal method is where you implement the requirements above and the main method is where you make a method call to demonstrate how your powCalmethod work).arrow_forward
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