For this Context Free Grammar: G = ( {S}, {a+b, a-b, +, −}, S, {S S+S | S-S|a|b}) This related Parse (Derivation) Tree is given: S a S b S S The string associated with this parse tree is Since there are muliple parse left parse tree to create this string, therefore G is an
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- Construct a Binary Search Tree (BST) using the data provided in shaded row and name it “BST-1”. 50 45 65 60 75 90 15 35 70 45 55 40 20 80 95 85 25 50 74 5 Provide answers to the following considering your constructed BST-1: Write the output strings (only) after taking pre-order, in-order, and post-order traversal of BST-1.Construct a Binary Search Tree (BST) using the data provided in shaded row and name it “BST-1”. 50 45 65 60 75 90 15 35 70 45 55 40 20 80 95 85 25 50 74 5 Provide answers to the following considering your constructed BST-1: Write a C++ code for the in-order traversal of BST-1. Also, dry run your code on it and elaborate its each step. Compute the total number of used and unused (null) references defined in BST-1. And construct an equivalent two-way in-order threaded BST-1 that has minimum number of null references.Your colleague proposed a different definition of a binary search tree: it is such binary tree with keys in the nodes that for each node the key of its left child (if exists) is bigger than its key, and the key of its right child (if exists) is less than its key. Is this a good definition for a binary search tree? A. Yes B. No
- Given a set of 10 letters { I, D, S, A, E, T, C, G, M, W }, answer the following: a) With the given letters above, we can construct a binary search tree (based on alphabetical ordering) and the sequence < C, D, A, G, M, I, W, T, S, E > is obtained by post-order traversing this tree. Construct and draw such a tree. NO steps of construction required.b) The letter S is first removed from the binary search tree determined above, followed by inserting a new letter R. Draw the updated binary search tree after removal and insertion. Choose the logical predecessor (not successor) of the removing node if necessary c) Determine and list the sequence of elements obtained by pre-order traversing the updated binary search tree after removal and insertion above. No steps required. d) Suppose we are given the first six elements < I, D, S, A, E, T > and their frequencies of occurrence < 5, 6, 2, 4, 5, 2 >, construct and draw the Huffman Tree based on these elements above and their…Design a nonrecursive implementation of a binary tree that maintainsnode data in a Vector, data. In this implementation, element 0 of data references the root (if it exists). Every non-null element i of data finds its left andright children at locations 2i + 1 and 2(i + 1), respectively. (The inverse of theseindex relations suggests the parent of a nonroot node at i is found at locationb(i − 1)/2c.) Any element of data that is not used to represent a node shouldmaintain a null reference. don't copy answer from any ai tool otherwise you will get downvote. A binary search tree may be balanced or unbalanced based on the arrangement of the nodes of the tree. With you knowledge in Binary search tree:i. Explain the best and worst case scenarios of the time and space complexity of both type of binary trees above.
- Convert the following into parentheses expressions into General (N-ary) Tree, Binary Tree andIndention Expressions, then answer the questions.(A (B (C,D), E(F(G,H), I(J) ), K (L(M), N(O,P) ), Q(R,S(T), U(V(W), X,Y,Z) ) ) )Questions:a. Degree of the tree.b. Level of node P.c. Sibling/s of node K.d. Descendant/s of node Q.e. Ancestor/s of node W.Given the traversals, draw a Binary Tree.a. PreOrder: ABCDEFGHIJKLMInOrder: CEDBFAIHJGLMKGiven a binary search tree and data of two nodes, find 'LCA' (Lowest Common Ancestor) of the given two nodes in the BST.LCALCA of two nodes A and B is the lowest or deepest node which has both A and B as its descendants. Example:In this example, the green coloured node is the LCA to A and B.Alt TextNote:It is defined that each node is a descendant to itself, so, if there are two nodes X and Y and X has a direct connection from Y, then Y is the lowest common ancestor.Example:Alt TextNote:1. If out of 2 nodes only one node is present, return that node. 2. If both are not present, return -1.3. all the node data will be unique.Input format:The first line of input contains data of the nodes of the tree in level order form. The data of the nodes of the tree is separated by space. If any node does not have left or right child, take -1 in its place. Since -1 is used as an indication whether the left or right nodes exist, therefore, it will not be a part of the data of any node.The following…
- We say that a binary search tree T1 can be right-converted to binary search tree T2 if it is possible to obtain T2 from T1 via a series of right rotations. Please draw diagram and Give an example of two trees T1 and T2 such that T1 cannot be right-converted to T2. Explain your answer.Question: In a binary search tree (BST), what is the relationship between a node's left child and its parent? A) The left child is greater than the parent. B) The left child is less than the parent. C) The left child is equal to the parent. D) There is no specific relationship between the left child and the parent in a BST.PLease do A,B, and C Given the following tree: A.Is the tree balanced? If not, where is the tree out of balance? B.Is it a BST? If not, where is the violation of the search tree order? C.Show the order the nodes will be visited in a preorder, inorder, and postorder traversal. Be sure to clearly indicate which traversal is which.