Consider a recursive method below. static void mysteryRecursion (String x) { if (x.length () < 1) { System.out.println(x); } else { System.out.println(x.charAt (0) + " " + x.charAt (x.length () - 1)); mysteryRecursion(x.substring(1, x.length() - 1)); What gets printed if I make the method call mysteryRecursion("helloworld");
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- import java.util.Scanner; public class LabProgram { // Recursive method to draw the triangle public static void drawTriangle(int baseLength, int currentLength) { if (currentLength <= 0) { return; // Base case: stop when currentLength is 0 or negative } // Calculate the number of spaces needed for formatting int spaces = (baseLength - currentLength) / 2; if (currentLength == baseLength) { // If it's the first line, don't output spaces before the first '*' System.out.println(" ".repeat(spaces) + "*".repeat(currentLength)); } else { // Output spaces and asterisks System.out.println(" ".repeat(spaces) + "*".repeat(currentLength)); } // Recursively call drawTriangle with the reduced currentLength drawTriangle(baseLength, currentLength - 2); } public static void drawTriangle(int baseLength) { drawTriangle(baseLength, baseLength); } public…The method is in fact faulty. Give a test input (String) that will make the method to fail -- i.e., it will throw an exception when it is executed with the input).public static void simpleLoop(int total) { String tmp = ""; for (int x = 0; x < total; x++) { tmp + (x + ","); } } } System.out.println(tmp.length()); public static void main(String[] args) { simpleLoop (2);
- 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…import java.util.Scanner; public class LabProgram { // Recursive method to reverse a string public static String reverseString(String str) { // Base case: if the string is empty or has only one character, return the string as is if (str.isEmpty() || str.length() == 1) { return str; } else { // Recursive step: move the first character to the end and reverse the remaining substring return reverseString(str.substring(1)) + str.charAt(0); } } public static void main(String[] args) { Scanner scnr = new Scanner(System.in); String input, result; input = scnr.nextLine(); // Call the reverseString() method result = reverseString(input); // Output the result System.out.printf("Reverse of \"%s\" is \"%s\".%n", input, result); }}Write a recursive method that displaysa string reversely on the console using the following header: public static void reverseDisplay(String value) For example, reverseDisplay("abcd") displays dcba. Write a test programthat prompts the user to enter a string and displays its reversal.
- This method uses recursion to find the area of a triangle with a given width. public int getArea(){ if (width == 1) { return 1; } else { Triangle smallerTriangle = new Triangle(width - 1); int smallerArea = smallerTriangle.getArea(); return smallerArea + width; } Using this example, outline, but do not implement, a recursive solution for finding the smallest value in an array. For example, suppose we have an Integer array with elements [12, 15, 28, 32, 3, 7, 21]. Outline how we can use recursion to find the smallest element, 3, in the array.Note: Java Consider the following recursive method: public static int Fun(int x) { if(x == 0) //line 1 return 0 //line 2 else if( x == 1) //line 3 return 1; //line 4 else //line 5 return (x*Fun(x-1)); //line 5 } a) Is Fun(4) a valid call? If so, what is the value? If not, explain why? Answer: b) Is Fun(-4) is a valid call? If so, what is the value? If not, explain why? Answer: (c) Consider the following method. public static int res(int[] list, int first, int last) { if (first == last) return list[first]; else return list[first] + res(list, first + 1, last); } Given the declaration int[] A = {2, 4, 6, 8, 10}; What is the output of the following statement? out.println(res(A, 0, 2)); out.println(res(A, 0,…Write a program that has a main() function that calls a recursive method repeatPrint(String s, .....) that prints out the strings as shown in the example below: repeat Print ("CHICAGO", ....); C CH CHI CHIC CHICA CHICAG CHICAGO CHICAGO HICAGO ICAGO CAGO AGO GO 0
- The word ladder game was invented by Lewis Carroll in 1877. The idea is to begin with a start word and then change one letter at a time until you arrive at an end word. Each word along the way must be an English word. For example, starting from FISH, you can arrive at MAST through the following word ladder:FISH, WISH, WASH, MASH, MAST Write a program that uses recursion to find the word ladder given a start word and an end word, or that determines no word ladder exists. Use the file words.txt that is available online with the source code for the book as your dictionary of valid words. This file contains 87,314 words. Your program does not need to find the shortest word ladder between words; any word ladder will do if one exists. list aalii aardvark aardvarks aardwolf aba abaca abaci abacist aback abacus abacuses abaft abalone abalones abamp abampere abandon abandoned abandonee abandoner abandonersJava Program: Recursive Method There are n people in a room where n is an integer greater then or equal to 2. Each person shakes hands once with every other person. What is the total number of handshakes in the room? Write a recursive method to solve this problem with the following header:public static int handshake(int n)where handshake(n) returns the total number of handshakes for n people in the room. To get you started if there are only one or two people in the room, then:handshake(1)=0handshake(2)=11. 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…