boriculture (Traversals, BSTs) se the unbalanced BST below to answer the following questions. 3 8 12
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- Please implement the followings: 1. Create the binary tree with 9 nodes by using pointer-based representation. struct TreeNode { int info; TreeNode * left; TreeNode * right; } 2. Implement pre-order, in-order, and post-order traversals, and print the results of the tree (Figure 1). 2 7 5 2 6 9 5 11 4 (Figure 1 and question in image below). Please help.in c++ Suppose the following values are inserted into a binary tree, in the order given: 12, 7, 9, 10, 22, 24, 30, 18, 3, 14, 20 Draw a diagram of the resulting binary tree. How would the values in the tree you sketched for part a be displayed in an in-order traversal? How would the values in the tree you sketched for part a be displayed in a preorder traversal? How would the values in the tree you sketched for part a be displayed in a post order traversal?i. ii. Using an array-based representation of a binary tree, the following array represents a binary tree. 0 1 2 3 59 39 75 4 48 5 6 70 80 111. Draw the binary tree that is represented by the above array. 7 8 9 10 11 12 13 14 44 68 90 What is the postorder traversal of the binary tree that is created in (i). What is the parent of 72?
- Answer the following questions about treeB. a. What is the height of the tree? b. Which nodes are on level 3? c. Which levels have the maximum number of nodes that they could contain? d. What is the maximum height of a binary search tree containing these nodes? Draw such a tree. e. What is the minimum height of a binary search tree containing these nodes? Draw such a tree. f. What is the order in which the nodes are visited by an ignorer traversal? g. What is the order in which the nodes are visited by a preorder traversal? h. What is the order in which the nodes are visited by a postorder traversal?Create a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follows: //check pic// You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space. Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes. Count the height of the tree. Hints: Header file typedef char ElemType; typedef struct node//define the type of binary tree node { }BTnode; Source file #include <stdio.h> #include <stdlib.h> #include "tree.h" BTnode * createTree()//create the binary tree,return the root { BTnode *tnode;// tnode is the root char elem; ;//input the character //if the input is a space,set the pointer as NULL Else// if the input is not a space,generate the binary node and create its left…Problem 3. Binary Tree Q4. Given the binary tree on the picture, match the following questions with the answers. If you cannot see the picture, please look at the pdf file BinaryTree.pdf posted under Files/Final. 1 3 4 5 What is the root? 6 7 8 How many nodes in the tree? How many leaves in the tree? 12 9 What is the height of the tree? 15 10 13 17 [Choose ] [Choose ] [Choose ] [Choose ] > > <
- you will be given the pre-order traversal and in-order traversal of a tree. You need to first plot the tree based on these two traversals, and then give the post-order traversal. We talked about an example in the class. This question is very similar to the example in the class How to do this? Please explain and show steps to help me preparefor the following sequence of keys, do the following: MBX, EXB, GBX,…, ABX, AXB,…, QXB, YXB, … . 2. Build an AVL tree showing all steps in details.Create an AVL tree with a height of 3 where the root of the tree would be the imbalanced alpha node if another single node X is inserted into the tree. Show the creation of the tree starting with the empty tree. Show each individual step of inserting the nodes and at each step state which rotation was done (if a rotation was done). Each value in the tree must be an integer and unique. For this problem, you can use drawings and even the visualization tools. You don’t need to implement this problem.
- Draw the BST where the data value at each node is an integer and the values are entered in the following order: 36, 22, 10, 44, 42, 60, 50, 70, 80, 85, 75, 55, 45 (a) (d) What is the height of the tree of part (a)? Draw the BST on the following data 40, 30, 50, 20, 35, 45, 60, 25, 33, 42, 65. Now draw its mirror image (e) BST Mirror of BST (f) Display the tree constructed in (e) using Breadth First Scarch or level order traversal. i.e. the BFS of above tree is given as a. 5 3 7 1 4 8 (g) Given the In-Order {10 20 25 30 40 45 60} and Pre-Order (40 20 10 30 25 60 45}. Draw the original BST. Search yourself. (h) Given the In-Order {10 20 25 30 40 45 60} and Post-Order {10 25 30 20 45 60 40}. Draw the original BST. Search yourself.Consider the tree structure given below. First complete the tree by replacing the question marks by some capital letters (A B … Z) as you like, so it becomes a binary search tree. Then complete the table below with the order in which the nodes (of the tree you completed) are visited with respect to the given traversals. Note: Do not change the tree structure. But it is totally up to you how you complete the tree as far as it is a binary search tree.Computer Science Exercise: shape [★★★] Write a function same_shape : 'a tree -> 'b tree -> bool that determines whether two trees have the same shape, regardless of whether the values they carry at each node are the same. Hint: use a pattern match with three branches, where the expression being matched is a pair of trees. please use Ocaml for the coding