2. Which of them represent paths represents a tree. a. vlelv2 and vle2v3e3v3 b. vlelv2e4v5 and vle2v3e3v3 c. vlelv2e4v1 and vle2v3e3v4 d. v2elv3 and v2e2v3e3v5
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- Which of the following is an AVL tree?Which of the following statements are correct for the expression trees? (Select all that applies.) a. An expression tree is a binary tree. b. The root and internal nodes are operators. c. Each leaf is an operand. d. Subtrees are sub-expressions, with the root being an operator. 2. The height of a binary tree is the maximum number of edges in any root to leaf path. The maximum number of nodes in a binary tree of height h is: a. (2^h)-1 b. (2^(h+1))-1 c. 2*(h+1)-1 3. Which of the following statements are correct? (Select all that applies.) a. The maximum number of internal and external nodes in a proper binary tree with n nodes are (n-1)/2 and (n+1)/2, respectively. b. The maximum number of nodes at level k (k = 0,1,2,...) of a proper binary tree: 2^k c. Depth of a node refers to the number of ancestors. d. Height of a tree refers to the the maximum of the depths of its leaf positions.Q#1. Draw the Binary and Binary search tree for the following values, and traverse the Binary Search tree in Post, Pre and Inorder.? 100,29,45,120,12,45,140,100,45,150,45,67,89,100,650 Q#2. Convert the following expression into the Prefix and Postfix mentioned notation? And draw their trees. a> a + b + c - d * x / y b> x*(y - a) + (s + t * d)
- 1. Construct a binary tree for the numbers 3,4,5,6,7,8,9. Then for each number input taken at runtime, show the number of iterations required to reach that node from root node containing the target number. (10) 2. Construct a binary tree with the following keys as strings a. Desktop, CSU, Spring2022, CIS260, CIS 265, Vacation, Hackathon Your first task is to put this data in an array of string and search for a folder name. Let us say that the folder name is “Hackathon”. Using the array subscript, how many iterations does it take to find the folder? (10) Next, convert this array into a Binary tree and arrange in alphabetical order, and try to find the same folder. List the number of Iterations.(10) Bonus: Now replace the folder names with file contents. So you need a File class where there is a filename variable and file content variable, both should be strings. So the node would have file object instead of just names. So you have an array of File class objects, so the binary tree will…Which of the following statements are correct for a binary search tree?a) The root always contains the largest key.b) All keys in the left subtree are always smaller than any key in the corresponding right subtree.c) All leaves are located on the same level.d) Each subtree is also a binary search tree.. Assume you have a binary search tree with a root at 50, which of the following could not represent a valid search through the tree for a value? 2.Assume you have 8 different elements and wish to build a tree out of them. What are the largest and smallest heights this tree can have? 3.Assume you have a binary search tree where every pointer to another node requires 8 bytes and every value is a 4 byte integer. What is the total amount of space required if you have a tree with 3 levels and all levels are full? 4. Assume we are comparing a binary search tree and a normal tree's performance. Which of the following are a limitation of the BST in comparison with a normal tree? 5. Assume you have the first 5 outputs from a traversal of a binary search tree, 50, 45, 35, 25, 15. Which of the following could be the traversal represent? 6. Assume you have a complete binary search tree with a total size of 8 elements, what is the largest number of nodes that may have to be visited in a search…
- What is your personal understanding of a spanning tree?Which of the following tree traversals work if the null left pointer pointing to the predecessor and null right pointer pointing to the successor in a binary tree?a) inorder, postorder, preorder traversalsb) inorderc) postorderd) preorderWhich of the following is FALSE about Binary Search Tree (BST)?
- In c++ You are required to provide the following:i) Construct a binary search tree with the values:400,350,450,320,310,370,500,420,430,405,360,380,407,375,600,470,315ii) Delete the node with having 315 as ID and show the new form of BST.iii) Delete the node with having 407 as ID and show the new form of BST.iv) Delete the node with having 375 as ID and show the new form of BST.Answer the following questions using python and without using any of its libraries or OOP . a) Using the helper function insert (bst, key), create the binary search tree that results from inserting the following keys in the order given: 68, 88, 61, 89, 94, 50, 4, 76, 66, and 82. b) Using the helper function exist (bst, key), check whether key 50 exists in resultant Binary Search Tree. c) Using the helper function exist (bst, key), check whether key 49 exists in resultant Binary Search Tree. d) Using the helper function minimum (bst, starting_node), find the node with the minimum value in resultant Binary Search Tree from starting node = 68. e) Using the helper function minimum (bst, starting_node), find the node with the minimum value in resultant Binary Search Tree from starting node = 88. f) Using the helper function maximum (bst, starting_node), find the node with the maximum value in resultant Binary Search Tree from starting node = 68. g) Using the helper function maximum (bst,…Q2. a. What is a Binary Search Tree? b. Draw the Binary Search Tree that results from the insertion, one at a time, of nodes with Keys 27, 59, 21, 38, 54, 63, 8, 70, 15, 12. (Marking Scheme: Each correct insertion in the tree will give you c. Perform the following operations on the original tree and redraw the tree after each operation ) i.deleting 63 ii.deleting 59 iii.Insert 65 iv.Insert 22 d. Write down the inorder, preorder and postorder traversal on the constructed binary tree.