Nrite a java method called sumofParentsOfLeaves that receives a referene and find the sum of values in non-leaf nodes whose children are leaves. Assume that the tree nodes contain integer values.
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- Write a java method that receives a reference to a binary tree root and finds the node(s) with the maximum value. Your method must return an array describing the nodes containing the maximum value like this: "Right" if the node is a right child to its parent, "Left" if the node is a left child to its parent, and "Root" if the maximum value is in the root. Assume that tree nodes contain integer.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 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…
- Written in Java The diameter D of a binary tree is defined as the number of nodes on the longest path between any two nodes in the tree. The path may pass through the root, but does not have to. For a given diameter, there may be more than one path which has the longestlength. For example, the following tree has diameter of 5:2. 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 vCreate 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.
- Write a method that takes any two nodes u and v in a tree T whose root node is s, and quickly determines if the node u in the tree is a descendant or ancestor of node v.The program BinaryTreeTest.java prints the nodes by inorder traversal. Please add two methods printPreOrder(Node node) and printPostOrder(Node node) in the program and print the numbers by the two orders. Then please add findMax(Node node)and findMin(Node node) to find the maximal and minimal numbers respectively for the tree. Hint: to implement findMax(Node node), a recursive method is needed. If the node is empty. return 0. If the node's right sub-tree is null, return the node's value. Otherwise call findMax() recursively using the right child as the parameter. findMin(Node node) is similar, but you will focus on left child.JAVA 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. 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…
- Write a static method, copy, that, given a binary tree, returns a copy ofthe tree. Because not every object implements the copy method, you should notcopy objects to which the tree refers. This is referred to as a shallow copyWrite a static method, copy, that, given a binary tree, returns a copy ofthe tree. Because not every object implements the copy method, you should notcopy objects to which the tree refers. This is referred to as a shallow copyWrite a static method, copy, that, given a binary tree, returns a copy ofthe tree. Because not every object implements the copy method, you should notcopy objects to which the tree refers. This is referred to as a shallow copyWrite a recursive private method called countTwoEvenchilds to be included in class Binary Tree as discussed in the lectures. The method counts and returns the number of nodes having two children with even data values in the binary tree. This method is called from a public method countTwoEvenChildsBT, given as follows: public int countTwoEvenChildsBT(){ return countTwoEvenChilds(root); } Method heading: private int countTwoEvenChilds(Node node)Create a static method called clone that yields a duplicate of a binary tree when passed the tree. You shouldn't duplicate objects that the tree refers to because not all objects implement the copy function. An example of a thin duplicate is this.