Consider 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.

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.

1  public static int sum(int x, int y){   2     int z = x +y;   3     return z;   4 }      5 public static void main(String[] args){    6    …    7      sum(a+2, b);    8  …    9 }      write the signature of the method sum: sum(int,int) *Method name/parameter list   list local variables of sum: x, y, and y are local variables of the function.    list the parameters of sum: int x, int y   write the line number where a call to sum occurs 7    list the arguments for the above call   list the return type of sum here ______________

// The language is java Part I: Use of recursive method (4 points for students who need recursion/extracredit) Description: Code a class called RecursiveMultiply in which it will accept two integer arguments entered from user; pass these integers to a recursive method that returns the multiplication result of these two integers. The multiplication can be performed as repeated addition, for example, if two integers are 7 and 4: 8 * 4 = 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 You will write the application with GUI and recursion to display the result in a noneditable text field, based on the user’s entry from two text fields, while an OK button is pressed. You will utilize the exception handling code as you did in your Lab 4 and Lab 5 to verify if data entered in the text fields are valid (numerical and positive data only). You will make your own decision if there is any explanation that is not described in this specification. Finally, code a driver program that will test your class…

Write a program called Recursive_fibonacci.java that implements a recursive function for computing the nth term of a Fibonacci Sequence. In the main method of your program accept the value of n from the user as a command-line argument and then call your function named Fibonacci with this value. The output should look exactly like what is pictured below.

Given the following recursive method and function call, how many recursive calls are made, excluding the initial function call? Enter your answer as an integer. public static void mystery(int x, int y) { if (x <= 0) { } System.out.print("cat"); } else if (y < 2) { System.out.print("bat"); mystery (x-1, y); } else { } System.out.print("mat"); mystery (x-1, y-2); mystery (4, 5);

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)

Please explain the questions related to the code below:   //1. Why is 20 printed 3 times and why does it start with 1, but end with 2? //2. What is the base case for this recursive method and why?             //3. How would you implement this using a loop? //4. What is each if statement checking?             //5. Would a solution to this using loops require more or less code and would it be more or less effecient? //6. Why is recursion a good choice to solve this problem? //7. How can recursion become infinite?             //8. When is recursion appropriate?     /* Load the code below into a cloud compiler and run each method one at a time by removing the comments for the method. Walk through the code as a group and explore how the code works. Submit the answers to the numbered questions for credit. */   public class DemoRecur {             //Simple statement designed to show control flow in recursion             public static void printDemo(int x, int max)             {…

PYTHON: This exercise is a variation on "instrumenting" the recursive Fibonacci program to better understand its behavior. Write a supporting method that counts how many times the fib function is called to compute fib (n) where n is a user input. Hint: To solve this problem, you need an accumulator variable whose value "persists" between calls to fib. You can do this by making the count an instance variable of an object. Create a FibCounter class with the following methods: _init_(self) Creates a new FibCounter, setting its count instance variable to 0. getCount(self) Returns the value of count. fib(self, n) Recursive function to compute the nth Fibonacci number. It increments the count each time it is called. resetCount(self) Sets the count back to 0.

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