Consider the following method, written in pseudocode: function recur (n): if n <= 10 then return n* 2 return recur( recur( floor(n / 3) ) ) What does recur(35) return?
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- getSumEven Method; (Java) *Do not change method parameters* public static int getSumEven(int[] array) Returns the sum of even values (if any) present in the array parameter. You can assume array is not null. You may only use one auxiliary function. Your implementation must be recursive and you may not use any loop construct. Do not use ++ or -- in any recursive call argument. It may lead to an infinite recursion. For example, use index + 1, instead of index++. Parameters: array - Returns: Sum of even valuesJAVA 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…getSumEven Method; public static int getSumEven(int[] array) Returns the sum of even values (if any) present in the array parameter. You can assume array is not null. You may only use one auxiliary function. Your implementation must be recursive and you may not use any loop construct. Do not use ++ or -- in any recursive call argument. It may lead to an infinite recursion. For example, use index + 1, instead of index++. Parameters: array - Returns: Sum of even values
- java Write a recursive method largestDigitthat accepts an integer parameter and returns the largest digit value that appears in that integer. Your method should work for both positive and negative numbers. If a number contains only a single digit, that digit's value is by definition the largest. The following table shows several example calls: Call Value Returned largestDigit(14263203) 6 largestDigit(845) 8 largestDigit(52649) 9 largestDigit(3) 3 largestDigit(0) 0 largestDigit(-573026) 7 largestDigit(-2) 2 Obey the following restrictions in your solution: You may not use a String, Scanner, array, or any data structure (list, stack, map, etc.). Your method must be recursive and not use any loops (for, while, etc.). Your solution should run in no worse than O(N) time, where N is the number of digits in the number.In Java Ackermann’s Function Ackermann’s function is a recursive mathematical algorithm that can be used to test how well a computer performs recursion. Write a method ackermann(m, n), which solves Ackermann’s function. Use the following logic in your method: If m = 0 then return n + 1 If n = 0 then return ackermann(m - 1, 1) Otherwise, return ackermann(m - 1, ackermann(m, n - 1)) Test your method in a program that displays the return values of the following method calls: ackermann(0, 0) ackermann(0, 1) ackermann(1, 1) ackermann(1, 2)ackermann(1, 3) ackermann(2, 2) ackermann(3, 2)Write a method to add two matrices. The header ofthe method is as follows:public static double[][] addMatrix(double[][] a, double[][] b) In order to be added, the two matrices must have the same dimensions and thesame or compatible types of elements. Let c be the resulting matrix. Each elementcij is aij + bij. For example, for two 2 x 2 matrices a and b, c is given. Write a test program that prompts the user to enter two 2 x 2 matrices anddisplaystheir sum. Here is a sample run: ↵EnterEnter matrix1: 1 2 3 4 ↵EnterEnter matrix2: 0 2 4 1The matrices are added as follows1.0 2.0 0.0 2.0 1.0 4.03.0 4.0 + 4.0 1.0 = 7.0 5.0
- 6. In Java Write a static method transpose() that receives as parameter, a 2D square array numArof integers, and swaps the row and column of each element. For example:6 7 8 0 6 3 1 23 2 4 5 → 7 2 5 01 5 8 2 8 4 8 92 0 9 3 0 5 2 3Hint: Once you find the largest-sum column, you will need to swap its entries with the first column,element-by-element.Given an integer array of positive single digit values such as:int a[] = {8,4,2,6,9};1) Write a recursive arrayToN function which returns the concatenation of all array values as an integer value.This function should accept all required data as parameters and return a long integer value.ExamplesIf the array is 8 4 2 6 9 the arrayToN function returns the integer 84269.If the array is 0 2 6 8 9 3 5 1 the arrayToN function returns the integer 2689351.Public Class Utilities { replaceCharacter Method public static void replaceCharacter(char[] array, char target, char replacement) Replaces the target character in the array with the specified replacement. You can assume the array parameter will not be null. You may only use one auxiliary method. Your implementation must be recursive and you may not use any loop construct. Do not use ++ or -- in any recursive call argument. For example, use index + 1, instead of index++. Parameters: array - target - replacement -
- Write a recursive method called printReverse. The method shall take an array of char and will print the content in reverse order in the same line. The method shall use public and private method.Write a function that takes in an integer n and computes n!. Do this without recursion. In [ ]: deffactorial_iter(n):"""Takes in an integer n>0 and returns the product of all integers from 1 to n."""# YOUR CODE HEREraiseNotImplementedError() In [ ]: In [ ]: assert factorial_iter(6) == 720 assert factorial_iter(7) == 5040 assert factorial_iter(10) == 3628800TASK 7. Generic solution (Methods with Variable-Length Arguments). Review varargs, Implement the following code, test it with different input, make sure it runs without errors.