Write the definition of a (recursive) member function of the BinarySearchTree class named highNodeCount() that returns the number of nodes whose data field is higher (i.e. larger) than parameter data field of the root node.

Tree.java: This is a simple binary tree class that should be used to represent the data in your Huffman tree. You only need to implement two of the methods (_printTree and compareTo). Huffman.java: This file contains all of the logic required to implement a Huffman tree. The code in this file relies on the Tree.java file. You must provide the implementation for all of the methods in this class. public class Main {     /*     * tree.txt should produce this tree:     * 16     * / \     * 6 Z     * / \     * A D     *     * A (1), D (5), Z (10)     *     * Codes:     * A: 00     * D: 01     * Z: 1     *     * Preorder Traversal:     * 16, 6, 1 (A), 5 (D), 10 (Z)     */    public static void main(String[] args) throws Exception {        Huffman huff = new Huffman();        huff.buildTreeFromFile("tree.txt");         // Print the tree:        System.out.println("printTree tests:");        huff.printTree(); // Expected output: [16: , 6: , 1:A, 5:D, 10:Z]         // Get some codes:…

Create a function that uses  Node * pointing to root of AVL Tree as an input and returns the height of the AVL tree in O(log(n)).