Q4: Is BST Write a function is_bst, which takes a Tree t and returns True if, and only if t is a valid binary search tree, which means that: Each node has at most two children (a leaf is automatically a valid binary search tree) The children are valid binary search trees • For every node, the entries in that node's left child are less than or equal to the label of the node • For every node, the entries in that node's right child are greater than the label of the node

Q4: Is BST Write a function is_bst, which takes a Tree t and returns True if, and only if t is a valid binary search tree, which means that: Each node has at most two children (a leaf is automatically a valid binary search tree) The children are valid binary search trees • For every node, the entries in that node's left child are less than or equal to the label of the node • For every node, the entries in that node's right child are greater than the label of the node

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Given the following keys T, Y, V, Q, F, B, M. N, W, G, C, A, P, R, L. 1. Assuming the keys are inputted in that order, build a binary search tree according to the input: 2. Use an array to implement the tree you built and show the contents of the array: 3. Assuming the keys are all available at once and you can change the order if necessary, build a balanced binary search tree:
Java Binary Search Trees I have to implement an insert method for a binary search tree. Whats given is here public void insert(E key) throws DuplicateItemException { try { CODE GOES HERE } catch (DuplicateItemException ex) { throw ex; } } I need help with what goes there
If Treel and Tree2 are the trees indicated below, B F) H Tree2 Treel which traversals of Treel and Tree2, respectively, will produce the same sequence of node names? Preorder, postorder Postorder, inorder Postorder, postorder Inorder, inorder Postorder, preorder
#ifndef BT_NODE_H#define BT_NODE_H struct btNode{ int data; btNode* left; btNode* right;}; // pre: bst_root is root pointer of a binary search tree (may be 0 for// empty tree) and portArray has the base address of an array large// enough to hold all the data items in the binary search tree// post: The binary search tree has been traversed in-order and the data// values are written (as they are encountered) to portArray in// increasing positional order starting from the first elementvoid portToArrayInOrder(btNode* bst_root, int* portArray);void portToArrayInOrderAux(btNode* bst_root, int* portArray, int& portIndex); // pre: (none)// post: dynamic memory of all the nodes of the tree rooted at root has been// freed up (returned back to heap/freestore) and the tree is now empty// (root pointer contains the null address)void tree_clear(btNode*& root); // pre: (none)// post: # of nodes contained in tree rooted at root is returnedint…
Create a function that rapidly identifies whether any two nodes u and v in a tree T with s as the root node are ancestors or descendants of each other.
Q5_2\ Draw the binary search tree that would result from the insertion of the following integer keys: 14 58 18 10 99 52 33 69 47 17.
Need to answer in C language: Part 1: I need to define a binary search tree data structure and need to implement the following functions: Insert Sorted BSTREE insert(BSTREE root, int num): root points to a node in a binary search tree; num is a number to be inserted in the tree rooted at “root”. This function returns the root of the modified tree. Print Elements void inorderTraversal(BSTREE root, FILE *fp): root points to a node in a binary search tree. This function does not return anything, but prints out, to the file specified, the nodes in the tree rooted at “root” by performing an inorder traversal. Part 2: Test the performance of the designed data structure using theoretical and experimental approaches as follows: Dataset 1-Dataset is sorted- Add code to insert the numbers 1...n in that order in a binary search tree. Run it on different values of n where : n = 20,000 n = 50,000 n = 100,000 Do an in-order traversal of the tree, printing out the contents to a file…
Write a C++ code to insert the following numbers in two Binary Search Trees. Insertnumbers of first list in Binary Search Tree#1, and numbers of second list in BinarySearch Tree#2. Do not insert numbers of both lists in a single Binary Search Tree. List#1.5, 78, 45, 23, 11, 89, 10, 78, 6, 99, 876, 5, 67, 13List#2.5, 89, 688, 52, 557, 953, 7, 55, 35, 89, 99, 99, 6, 557, 89, 5, 99, 2, 45, 12, 7, 6, 94,93, 99, 67 (a) After inserting numbers in both Binary Search Trees. Write a function to printonly those numbers that appear either in List#1 or List#2 but not in other list. (b) For example, your code should print “78” because it appears in List#1 but notin List#2. Also you code should print “2” because it appears in List#2 but notin List#1.
Write a function f1 that takes the root of a binary tree as a parameter and returns thesum of the nodes which are in the right subtree of the root. You must not consider the valueof the root in the final sum.
C++ 2 Binary search tree Consider the following BSTNode structure that represents a binary search tree node, and the BSTree structure that represents a binary search tree. The root pointer points to the root node, and size book-keeps the number of items in the binary search tree. template struct BSTKode { T data; BSTNode left; BSTNederight: // BSTNode. parent: BSTNode (T d) : data (d), left (0), right (0)/, parent (0) / 0 // invariant 1: // (left // invariant 2: // (right }; null) implies (left.data struct BSTree { BSTNode root; unsigned int size: BSTree () root (NULL), size (0) () BSTNode BSTNode BSTNode BSTNode insert (T d); find (T d); min(); next (BSTNode current); void renove (BSTNode node); //invariant: // (root null) equiv (size -- 0) }; • Implement the insert and find methods. insert should insert element d in the tree, and find takes an element d and returns a pointer to the node that has d as value if it exists. Otherwise, it returns NULL. • Implement the min, and…
All of the following are true EXCEPT: An empty tree is defined to have a height of 1. The depth of a node p is the number of ancestors of p, other than p itself. The height of a tree to be equal to the maximum of the depths of its nodes (or zero, if the tree is empty). The height of a node p in a tree T: • If p is a leaf, then the height of p is 0. • Otherwise, the height of p is one more than the maximum of the heights of p's children.
127, 125, 129,122, 128,126,130,131,124,123• Implement Binary tree using above values. o Write a function to implement Depth First Search.o Write code to implement Preorder, Inorder, Postorder traversalo A function to display the values.