Consider the following recursive code snippet: public int mystery (int n, int m) if (n = (0) return 0; if (n 1) == %3%3D { return m; return m + mystery (n - 1, m); What value is returned from a call to mystery (2, 5)E
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- T/F 6. Consider the following recursive sum method:public int sum(int x){if (x == 0) return 0;else return sum(x - 1) + 1;}Public class Utilities { getDigits Method: public static java.lang.String getDigits(java.lang.String str) Returns a string with the digits (if any) present in the str parameter. You can assume str will never be null. You can use Character.isDigit() to determine whether a character is a digit. You may not use an auxiliary method in order to implement this method. Your implementation must be recursive and you may not use any loop construct. From the String class, the only methods you can use are length(), isEmpty(), charAt() and substring. 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: str - Returns: String with digits or empty stringJAVA 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…
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- Java 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)=1Consider the following recursive function: public static int mystery (int n) { if ((float)(n)/2 < 1) return 1; else return 1 + mystery(n/2); } Write a description of what this program. i.e. if n is the input, describe the output.One remarkably simple formula for calculating the value of p is the so-called Madhava-Leibniz series: p4 = 1-13+15-17+19-.... Consider the recursive function below to calculate the first n terms of this formula: double computePI(int n) { if (n <= 1) { return 1.0;} int oddnum = 2 * n - 1; if ((n % 2) == 0 { } return -1.0 oddnum + computePI(n − 1); } else { } return 1.0 / oddnum + computePI (n - 1); Which statements about the run-time performance of this function are true? 1.Each time this function is called it will invoke at least two more recursive calls II.The number of recursive calls this function will make is approximately equal to the value of the parameter variable n III.Not counting overhead, this function will be about as efficient as an iterative implementation of the same formula
- The following recursive method called z is created. This method accepts two parameters: A string s, and an integer index The code in the method is: if (index == s.length()) return ""; <------ base case if(index % 2 == 0) return ""+ s.charAt(index) + z(s,index+1); <---- recursive call else return z(s,index+1); <----- recursive call What would be the output with the call: z("javajavajava",0);Consider the following recursive method: public int recursiveMethod (int n) if (n <= 0) return 0; else int smaller = n - 1; return recursiveMethod (smaller) + n (n - 1); What is the integer return of a call recursiveMethod (5)? 36 39 40 44 Next Page Previous PageGiven the following recursive method, what is the return value of a call to mystery(18)? public static int mystery(int z){ if (z == 0){ return 2; } else{ return z * mystery(z - 3); }}