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){ }

Part (1) Write a recursion method named CalculateSeries, that will receive one integer valuen as parameter. The method will calculate and return the term n in the following series: T(0)= 0 T(n)= 2 T(n-1) +1 Part (2) Write the main method to test your method. Enter n>> 5 T(5) = 31 %3D

The following recursive method get Number Equal searches the array x of 'n integers for occurrences of the integer val. It returns the number of integers in x that are equal to val. For example, if x contains the 9 integers 1, 2, 4, 4, 5, 6, 7, 8, and 9, then getNumberEqual(x, 9, 4) returns the value 2 because 4 occurs twice in x. public static int getNumberEqual(int x[], int n, int val) { if (n< 0) ( return 0; } else { if (x[n-1) == val) { return getNumberEqual(x, n-1, val) +1; } else { return getNumber Equal(x, n-1, val); } // end if ) // end if } // end get Number Equal Demonstrate that this method is recursive by listing the criteria of a recursive solution and stating how the method meets each criterion.

Given a long string use recursion to traverse the string and replace every vowel (A,E,I,O,U) with an @ sign. You cannot change the method header. public String encodeVowels(String s){ // Your code here }

Java - Write an iterative method that calculates the SUM of all integers between 1 and a given integer N (input into the method). Write a corresponding recursive solution. (return answer, don’t print)

Name:- Mit (Question-1) Note:- Please type this java code and also need an output for this given Java program.

Write a Non tail recursion and a tail recursion method in Java with a test class that does the following: The factorial of a positive integer n —which we denote as n!—is the product of n and the factorial of n 1. The factorial of 0 is 1. Write two different recursive methods in Java that each return the factorial of n. Please and Thank you

b. Convert the following iteration into Recursion version: public void FO0( int n){ for (int i=n; i>=0;i--){ System.out.println(i*5); }}

The factorial of a positive integer n —which we denote as n!—is the product of n and the factorial of n 1. The factorial of 0 is 1. Write two different recursive methods in Java that each return the factorial of n. Analyze your algorithm in Big-Oh notation and provide the appropriate analysis, ensuring that your program has a test class.

Write a recursive method called drawTriangle() that outputs lines of '*' to form an upside down isosceles triangle. Method drawTriangle() has one parameter, an integer representing the base length of the triangle. Assume the base length is always odd and less than 20. Output 9 spaces before the first '*' on the last line for correct formatting. Hint: The number of '*' decreases by 2 for every line drawn. Ex: If the input of the program is: 3 the method drawTriangle() outputs: *** * Ex: If the input of the program is: 19 the method drawTriangle() outputs: ******************* ***************** *************** ************* *********** ********* ******* ***** *** * Note: No space is output before the first '*' on the first line when the base length is 19.

Write a recursive method that converts a decimal numberinto a binary number as a string. The method header ispublic static String dec2Bin(int value)Write a test program that prompts the user to enter a decimal number and displaysits binary equivalent.

Consider the following recursive method: Public static int Fib(int a1, int a2, int n){ if(n == 1) return a1; else if (n == 2) return a2;else return Fib(a1, a2, n-1) + Fib(a1, a2, n-2);} Please draw the recursion trace for Fib(2,3,5)

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