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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- c. Given 2 Arrays of Inorder and preorder traversal. Inorder sequence: {D B E A F C} Preorder sequence: {A B D E C F} Construct a tree and print the Postorder traversal.Define the Functor class and explain the idea of a Functor. Give an example of a Functor for a binary tree with data stored in nodes and leaves as part of your answer: data Tree a = Leaf a | Node a (Tree a) (Tree a) Tree a = Leaf a | Node a (Tree a) Tree a = Leaf a | Node a (T (200 words max. without code).In C++ Please Write a struct Student that has member variables: (string) first name, (int) age and (double) fee. Implement the Splay tree whose each node has data component an instance of the struct Student. Comparison of the nodes must be made with respect to age. Write the following functions along with necessary functions to: (i) search elements in the tree; (ii) insert nodes in the tree; (iii) print the tree in pre-order traversal fashion; (iv) delete a node from the tree; Implement the following (you can hardcode the inputs): (i) insert seven elements in the tree: (Kabeer, 19, 35.17), (John, 21, 31.65), (Paul, 25, 33.43), (Kaur, 18, 34.93), (Patel, 23, 36.37), (Alexander, 22, 33.78), (Ramesh, 27, 34.46); (ii) print the tree in pre-order fashion; (iii) delete an element from the tree (John, 21, 31.65); (iv) search an element (Alexander, 22, 33.78) in the tree; (v) print the tree in pre-order traversal fashion;
- R -> AaB | bAb | AaA | BaB A -> aA | bB | a B-> bB| aA| b draw a parse tree for the right sentential form abaaabbQuestion 4 Write a Lisp functions for Binary Search Tree (of numbers). (define insertTree (x tree)) returns a new tree with x inserted. (define findInTree(x tree)) return true if x is in the tree. Full explain this question and text typing work onlyWrite a function label_squarer that mutates a Tree with numerical labels so that each label is squared. def label_squarer(t): """Mutates a Tree t by squaring all its >>> t = Tree(1, [Tree(3, [Tree(5)]), Tr >>> label_squarer(t) >>> t Tree(1, [Tree(9, [Tree(25)]), Tree(49). IL I| | "*** YOUR CODE HERE ***"
- Computer Science In haskell, Write a function isSkewed of type Tree a -> Bool that tests whether a Tree is skewedDraw a single tree whose inorder traversal is and whose postorder traversal is f, a, g, b, h, d, i, c, j, e f.g, a, h, i, d. j, e, c, bImplement “DeleteItem” member function of Binary Search Tree (BST) ADT. Explain how it Works
- The definition for binary search tree should be the one used in class Class definition: A BST is a binary tree that (if not empty) also follows two storage rules regarding its nodes’ items: ♯ For any node n of the tree, every item in n’s left subtree (LST), if not empty, is less than the item in n ♯ ♯ For any node n of the tree, every item in n’s right subtree (RST), if not empty, is greater than the item in n ● bst_insert must be iterative (NOT recursive). ● bst_remove and bst_remove_max must use the algorithm described by the suggested book authors In btNode.h: provide prototypes for bst_insert, bst_remove and bst_remove_max. ● In btNode.cpp: provide definition (implementation) for bst_insert, bst_remove and bst_remove_ma #ifndef BT_NODE_H#define BT_NODE_H struct btNode{ int data; btNode* left; btNode* right;};// pre: bst_root is root pointer of a…The definition for binary search tree should be the one used in class Class definition: A BST is a binary tree that (if not empty) also follows two storage rules regarding its nodes’ items: ♯ For any node n of the tree, every item in n’s left subtree (LST), if not empty, is less than the item in n ♯ ♯ For any node n of the tree, every item in n’s right subtree (RST), if not empty, is greater than the item in n ● bst_insert must be iterative (NOT recursive). ● bst_remove and bst_remove_max must use the algorithm described by the suggested book authors In btNode.h: provide prototypes for bst_insert, bst_remove and bst_remove_max. ● In btNode.cpp: provide definition (implementation) for bst_insert, bst_remove and bst_remove_ma #ifndef BT_NODE_H#define BT_NODE_H struct btNode{ int data; btNode* left; btNode* right;};// pre: bst_root is root pointer of a…The prefix tree is a search tree data structure to store a set of strings. A prefix tree has the following properties: • Each prefix tree has a root indicating the start of each string. • Each path from the root node in the tree corresponds to a prefix of some string. • Each node has a flag to denote if the prefix is actually also a string in the set. For example, suppose we have 4 strings: "cat", "car", "dog", and "do". The corresponding prefix tree should conceptually be as follows, where the shaded nodes indicate the end of a string. root d a Assume the strings only contain lowercase English letters. The PrefixTreeNode class is given below. class PrefixTreeNode public: PrefixTreeNode *children [26]; // the child nodes for 26 letters bool wordEnds; // indicates the end of a string PrefixTreeNode () wordEnds = false; for (int i = 0; i < 26; i++) children [i] = NULL; } ; children is an array of pointers pointing to sub-prefix-trees of the 26 English letters. At each node, children[0]…