write a recursive method to schedule compatible activities that result in the maximum usage of the room.
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- You have a card on which the letter J is written on one side and K on the other. You want to seeall of the possible ways the card will land if you drop it n times. Write a recursive method thatprints each session of dropping the cards with J's and K's. For example if you drop it 4 times in agiven session, all possible ways to drop it are as follows (in exactly the specified order): J J J JJ J J KJ J K JJ J K KJ K J JJ K J KJ K K JJ K K KK J J JK J J KK J K JK J K KK K J JK K J KK K K JK K K KWhen 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.Note that you can only use recursion to solve Q1 and you cannot use any loop. You are free to add helper methods, but you are not allowed to change the method header.Question 1: Crazy seriesIn this session, you need to implement the crazy series method. In the crazy series, you will be given a starting number. Then, you need to times 2 for each number until the number is greater than 100. After the number is greater than 100, you need to divide 3 until we reach the number is less than 5. Note that the input number must be greater than 0, and you are not allowed to use loop here.For example,crazySeries(10) should return ArrayList [10.0, 20.0, 40.0, 80.0, 160.0, 53.333333333333336, 17.77777777777778, 5.9259259259259265, 1.9753086419753088]crazySeries(5) should return ArrayList [5.0, 10.0, 20.0, 40.0, 80.0, 160.0, 53.333333333333336, 17.77777777777778, 5.9259259259259265, 1.9753086419753088]crazySeries(1) should return ArrayList [1.0, 2.0, 4.0, 8.0, 16.0, 32.0, 64.0, 128.0,…
- Write a recursive solution to the problem below. You MUST use only one method, and that method must have the provided method header. You are allowed to use loops, but you must also use recursion. Given a word of length n, print every possible word of length n that can be made with those characters. Note: The order of the output does not matter, only that all possibilities are listed. Example: Input: rot Output: rot, rto, otr, ort, tro, tor Input: frog Output: frog, frgo, fogr, forg, fgro, fgor, rogf, rofg, rgfo, rgof, rfog, rfgo, ogfr, ogrf, ofrg, ofgr, orgf, orfg, gfro, gfor, grof, grfo, gofr, gorf public void printAllPossibilities (String prefix, String suffix){ }Problem 1: Create a Java class RecursiveMethods.java and create the following methods inside: ALL THE METHODS NEED TO BE COMPLETED RECURSIVLY. NO LOOPS ALLOWED. oddEvenMatch Rec: the method takes an integer array as a parameter and returns a boolean. The method returns true if every odd index contains an odd integer AND every even index contains an even integer(0 is even). Otherwise it returns false. sumNRec: The method takes an integer array A and returns the sum of all integers in the parameter array. nDownToOne: Takes an integer n and prints out the numbers from n down to 1, each number on its own line. inputAndPrintReverse: Inputs integers from the user until the user enters 0, then prints the integers in reverse order. For this method, you may NOT use an array or any type of array structure, in other words, you may not use any structure to store the user input. After completing the methods, use the main method to test them. You can hard code the tests.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…
- Given a list of integers, you want to know whether it is possible to divide the integers into two sets, so that the sum of one set is odd, and the sum of the other set is a multiple of 10. Every integer must be in one set or the other. You can write a recursive helper method that takes any number of arguments and then call it inside the method, but you cannot use any loops. Test cases: oddAndTen([5, 5, 3]) true oddAndTen ([5, 5, 4]) oddAndTen ([5, 5, 4, 1]) false trueGiven the sequence, S2 = 1, 2, 4, 5, 7, 8, 10, 11, 13, 14, … Write a RECURSIVE method called “sequence2” that takes a single int parameter (n) and returns the int value of the nth element of the sequence S2. You will need to determine any base cases and a recursive case that describes the listed sequence. Use the following code to test your answers to questions 3 and 4the output should print the two sequences given (S & S2): public class TestSequences { public static void main(String[] args) { for(int i = 0; i < 10; i++) { System.out.print(sequence(i) + " "); // 2, 4, 6, 12, 22, 40, 74, 136, 250, 460 } System.out.println(); for(int i = 0; i < 10; i++) { System.out.print(sequence2(i) + " "); // 1, 2, 4, 5, 7, 8, 10, 11, 13, 14 } } // *** Your method for sequence here *** // *** Your method for sequences2 here *** } // end of TestSequences classUsing 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).
- 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.Given a list of integers, you want to know whether it is possible to divide the integers into two sets, so that the sums of the two sets are the same. Every integer must be in one set or the other. Write a recursive helper method that takes any number of arguments you like, and make the initial call to your recursive helper method from equalSum(). Do not use any loops or regular expressions. Test case 1: equalSum([2, 3, 5]) true Test case 2: equalSum([2, 2, 5]) false- use Eclipse or Netbeans to create a project. - In the new created project, create a recursive method to implement the following formula : a1 = 3 an = 4 an−1 +1, for n ≥ 2 - Use the main method to test the recursive method for various values of n like : for n=1, n=2, n=3, n= 10; - write the same method but in sequential form (not Recursive). And compare between results for the same values of n. using java (data structure )