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Write a java method called sumOfParentsOfLeaves that receives a reference to a binary tree root and find the sum of values in non-leaf nodes whose children are leaves.
Assume that the tree nodes contain integer values.
Step by step
Solved in 2 steps
- Assume we have an IntBST class, which implements a binary search tree of integers. The field of the class is a Node variable called root that refers to the root element of the tree. Write a method, using recursion or a loop, that returns the smallest element in the tree.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…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:
- 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…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 vThe 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.
- In Java, True or False: Every binary tree has at least one node. TRUE FALSE Every non-empty tree has exactly one root node. TRUE FALSE Every node in a binary tree has at most one child. TRUE FALSE Every non-root node in a binary tree has exactly two parents. TRUE FALSEWrite 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)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.
- Write 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)Write a method isBST() that takes a Node as argument and returns true if the argument node is the root of a binary search tree, false otherwise.Hint : This task is also more difficult than it might seem, because the order in which youcall the methods in the previous three exercises is important.Write a method isBST() that takes a Node as argument and returns true if the argument node is the root of a binary search tree, false otherwise.Hint : This task is also more difficult than it might seem, because the order in which youcall the methods in the previous three exercises is important.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…