Create a method called equals for the BinaryTree class. This function should return true if and only if the trees have comparable shapes and refer to the same values (any Object, including the tree's Objects, has an equals method).
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Create a method called equals for the BinaryTree class. This function should return true if and only if the trees have comparable shapes and refer to the same values (any Object, including the tree's Objects, has an equals method).
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- In a doubly linked list the first class is Node which we can create a new node with a given element. Its constructor also includes previous node reference prev and next node reference next. make a node object for the new element. Check if the index >= 0.If index is 0, make new node as head; else, make a temp node and iterate to the node previous to the index.If the previous node is not null, adjust the prev and next references. Print a message when the previous node is null. implement these 3 methods: insert_at_index(), delete_at_end(), display(). use these three functions above use this to name the items 1. insert_to_empty_list()2. insert_to_end()3. insert_at_index() 4. delete_at_start() 5. delete_at_end() . 6. display() let the output be OUTPUT: The list is emptyElement is: 3Element is: 10Element is: 20Element is: 30Element is: 35Element is: 38Element is: 40Element is: 50Element is: 60 Element is: 10Element is: 20Element is: 30Element is: 35Element is: 38Element is: 40Element…Build a Node class. It is should have attributes for the data it stores as well as its left and right children. As a bonus, try including the Comparable module and make nodes compare using their data attribute. Build a Tree class that accepts an array when initialized. The Tree class should have a root attribute that uses the return value of #build_tree which you'll write next. Write a #build_tree method that takes an array of data (e.g. [1, 7, 4, 23, 8, 9, 4, 3, 5, 7, 9, 67, 6345, 324]) and turns it into a balanced binary tree full of Node objects appropriately placed (don't forget to sort and remove duplicates!). The #build_tree method should return the level-1 root node. Write an #insert and #delete method which accepts a value to insert/delete. Compile and submit your source code and screenshots of the application executing the application and the results based in python. Your paper should be 2-3 pages in length (not including title and references pages)Create a function that takes an array that represent a Binary Tree and a value and return true if the value is in the tree and, false otherwise. Examples valueInTree (arr1, 5) valueInTree (arr1, 9) valueInTree (arr2, 51) - true 1 false false
- 2 adding functionality Extend the BinarySearchTree class:1 Write code for the method search(int key, Node root)2 Write code for the method insert(int key, Node root)3 Write code for the method delete(int key, Node root)4 Write code for a main method to build a BSTTest your code with the input in the worked example. Necessary information below: class Node{// attributesint ID;String name; Node left; // left child Node right; // right child }class BinarySearchTree{// attributesNode root;// methodssearch(int key, Node root);void insert(int key, Node root);void delete(int key, Node root);}}Java code that eliminates the binary search's node with the lowest value. returns a reference to its element from a tree. If this tree is empty, it raises an EmptyCollectionException. If the tree is empty, returning a reference to the node with the fewest values produces an EmptyCollectionException.public class Node int dataCount; // number of keys with value equal to data stored at this node int treeSize; // number of keys stored in the subtree rooted at this node int data; Node left; Node right; //Get nth largest value of of subtree from the input node. Method to run in o(height) int obtain(Node n, int n){ } Please complete the obtain method in JAVA
- 2. Write a method that takes any two nodes u and v in a tree T, and quickly determines if the node u in the tree is a descendant or ancestor of node vWrite a recursive buildBinaryTree method that builds a new binary tree from the contents of an arraythat contains integers. Use the following class definition for a node in a binary tree:class BinaryNode{int element;BinaryNode left;BinaryNode right;}Hint: Take one item from the array and insert it as the root of the tree. Divide theremaining items in half and insert one half in the right subtree and the other half in theleft subtree of the root node by calling the method recursively with the relevant arrayindices.Note: You have to explain your method by means of inline comments or by including apseudo-code version of this method in comments. import test.BinaryNode; // BinaryNode class; stores a node in a tree. // // CONSTRUCTION: with (a) no parameters, or (b) an Object, // or (c) an Object, left child, and right child. // // *******************PUBLIC OPERATIONS********************** // int size( ) --> Return size of subtree at node // int height( ) --> Return height of subtree…2. What should the parameter type be in each of the following methods? setData() --> setLeft() --> setRight() --> 3. What would need to be added/removed/changed to make this class work for a more general tree such that each node could have more than 2 nodes? EXERCISE 2 4. What is the base case of the size() method? What are the recursive cases? 5. What is the main difference between the 3 methods: inorder(), preorder(), and postorder()? 6. In the recFormatTree() method, what is the space parameter used for? What is the default value when this method is first called? What is being concatenated to this space value in the recursive calls? Does this make sense for how the tree is being displayed? EXERCISE 3 7. How can you tell if a given node is a leaf node?
- LANGUAGE IS JAVA Create a method in the BinaryTree class with the following signatures: public void nodesPerLevel(int level, OurList<Integer>); The method will collect the number of nodes in each level of the tree, so that, the list will contain at positon 0 the number of nodes at level 0, so on, so forth. The parameter level indicates the level at which it is collecting the number of nodes. You start the process by calling the method with level 0 and an OurList<Integer> object with 0's in each entry. The size of the list should be equal to the number of levels in the tree. This should be a recursive method.Write a recursive buildBinaryTree method that builds a new binary tree from the contents of an arraythat contains integers. Use the following class definition for a node in a binary tree:class BinaryNode{int element;BinaryNode left;BinaryNode right;}Hint: Take one item from the array and insert it as the root of the tree. Divide theremaining items in half and insert one half in the right subtree and the other half in theleft subtree of the root node by calling the method recursively with the relevant arrayindices.Note: You have to explain your method by means of inline comments or by including apseudo-code version of this method in comments. Write a method oddEntries that returns the number of odd integers contained in a binarytree where the element type is int. This method is called with a link to the root node ofthe tree.Note: You have to explain your method by means of inline comments or by including apseudo-code version of this method in comments. Write a Java program that:a. Reads…Write a recursive buildBinaryTree method that builds a new binary tree from the contents of an array that contains integers. Use the following class definition for a node in a binary tree: class BinaryNode { int element; BinaryNode left; BinaryNode right; } Hint: Take one item from the array and insert it as the root of the tree. Divide the remaining items in half and insert one half in the right subtree and the other half in the left subtree of the root node by calling the method recursively with the relevant array indices.Write a method oddEntries that returns the number of odd integers contained in a binary tree where the element type is int. This method is called with a link to the root node of the tree.