28Recursive methods must always contain a path that does not contain a recursive call. T OR F
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28Recursive methods must always contain a path that does not contain a recursive call.
T OR F
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- When writing a recursive method, you do not need to know ahead of time exactly how many levels of recursion will occur. you must keep count of how many recursion call levels you have traversed. you must make sure the method does not take any input parameters.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…Palindrome Detector: a palindrome is any word, phrase, or sentence that reads the same forward and backward. Here are some well-known palindromes: Able was I, ere I saw Elba A man, a plan, a canal, panama Desserts, I stressed Kayak Write a Boolean method that uses recursion to determine whether a String argument is a palindrome. The method should return true if the argument reads the same forward and backward. Demonstrate the method in a program.
- Using 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).A recursive method with no base case? 1.causes an infinite loop 2.generates no output 3.does not start 4.all of the answersPLZ help with the following: In Java Write a recursive method named contains with the following header:public static boolean contains(String haystack, String needle) The method should return true if needle is contained within haystack and false if needle is not in haystack. For example, contains("Java programming", "ogr") should return true contains("Java programming", "grammy") should return false You are not allowed to use the substring method to find a match.
- 42) Look at the following method: public static int test2 (int x, int y) if (x < y) { return -5; } else { return (test2 (x - y, y + 5) + 6) ; } } What is returned for test2 (10, 20)? A) -5 B) 1 C) 6 D) 10 43) This term is used for methods that directly call themselves. A) Simple recursion C) Absolute recursion B) Direct recursion D) Native recursion 44) If the base case in a recursive method is never reached: A) The result will always be off by one. C) The method will call itself indefinitely. B) The method will call itself only once. D) The method will never call itself. 45) A(n) is an object that is generated in memory as the result of an error or an unexpected event. A) exception C) default exception handler B) exception handler D) error message 46) All of the exceptions that you will handle are instances of classes that extend this class. A) Exception C) IOException B) RunTimeException D) Error 47) All exceptions are instances of dasses that extend this class. A) Throwable C)…Python Programming ONLY PLEASE NO JAVA Use recursion to determine the number of digits in an integer n. Hint: If n is < 10, it has one digit. Otherwise, it has one more digit than n / 10. Write the method and then write a test program to test the method Your test program must: Ask the user for a number Print the number of digits in that number. (describe the numbers printed to the console) Use program headers and method header comments in your code.Create a class Recursion. It will have two static methods: removeX and countSubstring and write each function recursively. Recursion class removeX The removeX function will take a String as a parameter. It will return a new String that is the same as the original String, but with all “x” characters removed. This method will be case insensitive. countSubstring The countSubstring function will take two strings as parameters and will return an integer that is the count of how many times the substring (the second parameter) appears in the first string without overlapping with itself. This method will be case insensitive. For example: countSubstring(“catwoman loves cats”, “cat”) would return 2 countSubstring(“aaa nice”, “aa”) would return 1 because “aa” only appears once without overlapping itself. Create a Main class to test and run your Recursion class.
- T/F The body of a method may be emptySearching and Sorting Sort a DOUBLY linked sequential list using insertion sort algorithm. Implement binary search algorithm RECURSIVELY.Instructions Complete the following methods on Searching and Sorting. You may use any language must be Java or Python to complete the tasks. If you are using JAVA, you must include the Tester class containing the main method which should test your other methods. If you are using PYTHON, make sure your code has the methods invoked through test statements. Usage of built in methods/libraries are NOT ALLOWED12 - question The following method is a recursive pow method to compute exponents, there is a logical error in this code. Please choose the line which has the error. 1. public static int pow (int x, int y) { 2. if (y>1) 3. return x * pow (x, y - 1); 4. else 5. return y; 6. } a. Line 2 b. Line 3 C. Line 4 d. Line 5