Design an algorithm that produces a binary expression tree from a given postfix expression. You can assume that the postfix expression is a string that has only binary operators and one-letter operands. Some implementations of a binary tree do not use null to indicate the absence of a child. Instead, they use references to a single dummy node. A reference to an empty tree is to this same dummy node. Modify the implementation of BinaryTree in this way.

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In the binary search tree, write a function that takes in a root, p, and checks whether the tree rooted in p is a binary search tree or not. What is the time complexity of your function? def is_bst(self, p: Node):

Rewrite the definition of the function searchNode of the class B-tree provided (bTree.h) by using a binary search. Write a C++  code to ask the user to enter a list of positive integers ending with -999, build a b- tree of order 5 using the positive integers, and display the tree contents. Also, ask the user to enter a number to search and display if the number is found in the tree. bTree.h

Write a Program to display pre-order, post-order and in-order traversal of the following tree.

Write Java code to:  find the lowest common ancestor of two nodes n1, n2 in a linked binary tree structure. The lowest common ancestor is the lowest node in the tree thathas both n1 and n2 as descendants.

A Binary Search Tree (BST) can be used to efficiently implement a sorted set. It stores uniquevalues and offers an efficient membership method (contains).A binary search tree (BST) is a binary tree with the additional binary search tree property.The binary search tree property states that for every node n in the tree1. n.data is greater than the data value of all nodes in the sub-tree rooted with n.left.2. n.data is less than the data value of all nodes in the sub-tree rooted with n.right.As we are implementing a set, all data (strings) in the tree will be unique. Every node in the treewill have its own distinct string. Strings will be compared using the canonical way (as defined bythe compareTo() method in the String class).For example, the binary tree on the left (below) IS a binary search tree and the one on the rightis NOT.You will implement several methods in the BinaryTree and BST classes. The BST class mustextend the BinaryTree class. Methods that you must complete (implement or…

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