IN JAVA CODE: Please make a program that will allow the user to do the following: Input a Huffman code that will be converted to its text equivalent. Output an error message if the input cannot be converted.

1. Write a recursive method expFive(n) to compute y=5^n. For instance, if n is 0, y is 1. If n is 3, then y is 125. If n is 4, then y is 625. The recursive method cannot have loops. Then write a testing program to call the recursive method. If you run your program, the results should look like this: > run RecExpTest Enter a number: 3 125 >run RecExpTest Enter a number: 3125 2. For two integers m and n, their GCD(Greatest Common Divisor) can be computed by a recursive function. Write a recursive method gcd(m,n) to find their Greatest Common Divisor. Once m is 0, the function returns n. Once n is 0, the function returns m. If neither is 0, the function can recursively calculate the Greatest Common Divisor with two smaller parameters: One is n, the second one is m mod n. Although there are other approaches to calculate Greatest Common Divisor, please follow the instructions in this question, otherwise you will not get the credit. Meaning your code needs to follow the given algorithm. Then…

Fix the code below so that there is a function that calculate the height of the triangle.   package recursion; import javax.swing.*;import java.awt.*; /** * Draw a Sierpinski Triangle of a given order on a JPanel. *  *  */public class SierpinskiPanel extends JPanel {     private static final int WIDTH = 810;    private static final int HEIGHT = 830;        private int order;     /**     * Construct a new SierpinskiPanel.     */    public SierpinskiPanel(int order) {                this.order = order;                this.setMinimumSize(new Dimension(WIDTH, HEIGHT));        this.setMaximumSize(new Dimension(WIDTH, HEIGHT));        this.setPreferredSize(new Dimension(WIDTH, HEIGHT));    }        public static double height(double size) {        double h = (size * Math.sqrt(3)) / 2.0;        return h;    }    /**     * Draw an inverted triangle at the specified location on this JPanel.     *      * @param x the x coordinate of the upper left corner of the triangle     * @param y the y…

write a code in java (using recursion)