Then please add findMax(Node node)and findMin(Node node) to find the maximal and minimal numbers respectively for the tree.
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- public int insert(int value);/* Creates a node with the parameter as its value* and inserts the node into the tree in the appropriate position.* This method should call upon the recursive insert_r() helper method* you write.** we will make the assumption for this assignment (and implement it so) * that the values in a BST are unique... no duplicates** If we insert a value and it succeeded... adds it to the tree* return the element that was added** If we try to add an element and it is a duplicate, return the element* but make no changes to the tree... no new nodes added** @param int value to be inserted in tree* @return integer that was insrted after insertion is done.** Example 1: Suppose we have the tree below:** (27)* / \* (4) (29)* / \* (1) (8)* After calling insert(5), we'd obtain the following tree:** (27)* / \* (4) (29)* / \* (1) (8)* /* (5)** Example 2: Suppose we have the tree below:** (87)* / \* (42) (128)* \ \* (46) (145)* /* (44)** After calling insert(147), we'd obtain the…Write a recursive method named printLevel (Node<T> reeRef, int level) (with an assumption that it will be written inside class BST) that prints the nodes in a certain level. The method should take two parameters: the root and the level number that you should print the nodes at. Write a test drive main program which tests this method. USE JAVA LANGUAGE PLEASWrite a recursive private method called countDegree to be included in class BinaryTree as discussed in the lectures. If a node is having two child nodes, then its degree is two, if it is having one child node, its degree is one and leaf nodes have degree 0. The method counts and returns the total degree of all the nodes in the binary tree. Example: If a binary tree is having 9 nodes such that 3 nodes, each have 2 child nodes, 2 nodes each have only one child and there are 4 leaf nodes. So, the total degree of the binary tree = 3x2 + 2x1 + 0 = 8. This method is called from a public method countDegreeBT, given as follows: public int countDegreeBT() { return countDegree(root); } Method heading: private int countDegree(Node<E> node)
- A consecutive sequence a list of numbers that are organized in increasing order with the next eleme. one bigger than the current. Write a non-recursive method "lengthConsec", which takes an IntNode myList as the parameter and returns the length of the consecutive sequence in myList. To simplify the implementation, you can assume that there is no more than one consecutive sequence in the list. For example, in the following linked list, the consecutive sequence begins at node "5" and ends at node "7", so lengthConsec (myList) should return 3 in this case. myList 8 13 4 public class IntNode { 12 private int m_data; private IntNode m_link; Consecutive sequence 6 7 28public int numdescendantsmod(int y) without recursion. this m O ethod should return the number of nodes that have a value tha Remove t is 0 mod y.Implement a recursive function void deleteMax() on the IntList class (provided). The function will delete from the IntList the IntNode containing the largest value. If there are multiple nodes containing this largest value, only delete the 1st one. Be careful not to cause any memory leaks or dangling pointers. You may NOT use any kind of loop (must use recursion). You may NOT use global or static variables. You may NOT use any standard library functions. Ex: list: 5->7->1->16->4->16->3 list.deleteMax(); list: 5->7->1->4->16->3 IntList.h #ifndef __INTLIST_H__#define __INTLIST_H__ #include <ostream> using namespace std; struct IntNode {int value;IntNode *next;IntNode(int value) : value(value), next(nullptr) {}}; class IntList { private:IntNode *head; public: /* Initializes an empty list.*/IntList() : head(nullptr) {} /* Inserts a data value to the front of the list.*/void push_front(int val) {if (!head) {head = new IntNode(val);} else {IntNode…
- do it with data structures - java Write a recursive private method called countLeafAndOneEvenChild to be included in class BinaryTree as discussed in the lectures. The method counts and returns the number of leaf nodes and nodes having only one even child node in the binary tree. This method is called from a public method countLeafAndOneEvenChild, given as follows: public int countLeafAndOneEvenChildBT() { return countLeafAndOneEvenChild(root); } Method heading: private int countLeafAndOneEvenChild (Node<E> node)P1 Suppose we want to create a method for the class BinaryTree (file BinaryTree.java) thatcounts the number of times an object occurs in the tree.a. Write the methodpublic int count1(T anObject)which calls the private recursive methodprivate int count1(BinaryNode<T> rootNode, T anObject)to count the number of occurrences of anObjectb. Write the methodpublic int count2(T anObject)that counts the number of occurrences of anObject and that uses one of the iterators of thebinary tree.Compare the efficiencies of the previous the two methods count1 and count2 using big Onotation. Add your answer as a comment before the function definition P2 Suppose we want to create a method for the class BinaryTree that decides whether two treeshave the same structure. Two trees t1 and t2 have the same structure if:- If one has a left child, then both have left children and the left children are isomorphic,AND - if one has a right child, then both have right children and the right children…Below is the IntTree class we discussed in week 3 and that you worked on in HW3. We are in the middle of implementing a new recursive method called leafCount that should return the number of leaves in the tree. What code should replace the comment /* recursive case */ so that the leafCount method works correctly? return tempL + 1; return tempL + tempR + 1; return tempL + tempR; return tempR + 1;
- Create a recursive method called isOrdered() that takes a Node and the two keys min and max as arguments. It should return true if all of the tree's keys are between min and max, min and max are, in fact, its smallest and largest keys, respectively, and the BST ordering property holds for all of the tree's keys, and false if it does not.using java code Problem: Suppose we want to write a program for the class BinaryTree that counts the number of times an object occurs in the tree. We need to use a method with the following header, public int count (O anObject) 1. Name your class objectCounter 2. Define main method, test the program 3. Write a method using one of the iterators of the binary tree. 4. Write another method using a private recursive method of the same name NB: Can you add main method to test the code please for 2. Define main method, test the programSorting Create a MyLinkedList class with inner Node class, data fields, and the insert(element) method. Implement a toString method to return all nodes in MyLinkedList. Implement a recursive sorting and a non-recursive sorting method.