Starting Out with C++ from Control Structures to Objects (9th Edition)
9th Edition
ISBN: 9780134498379
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 21, Problem 7RQE
The first node in binary tree is referred as “root node”.
Program Plan Intro
Binary tree:
A complete binary tree is a binary tree with the property that every node must have exactly two children, and at the last level the nodes should be from left to right.
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Fill-in-the-Blank
The first node in a binary tree is called the __________.
#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…
Fill-in-the-Blank
The three common types of traversal with a binary tree are __________, __________, and __________.
Chapter 21 Solutions
Starting Out with C++ from Control Structures to Objects (9th Edition)
Ch. 21.1 - Prob. 21.1CPCh. 21.1 - Prob. 21.2CPCh. 21.1 - Prob. 21.3CPCh. 21.1 - Prob. 21.4CPCh. 21.1 - Prob. 21.5CPCh. 21.1 - Prob. 21.6CPCh. 21.2 - Prob. 21.7CPCh. 21.2 - Prob. 21.8CPCh. 21.2 - Prob. 21.9CPCh. 21.2 - Prob. 21.10CP
Ch. 21.2 - Prob. 21.11CPCh. 21.2 - Prob. 21.12CPCh. 21 - Prob. 1RQECh. 21 - Prob. 2RQECh. 21 - Prob. 3RQECh. 21 - Prob. 4RQECh. 21 - Prob. 5RQECh. 21 - Prob. 6RQECh. 21 - Prob. 7RQECh. 21 - Prob. 8RQECh. 21 - Prob. 9RQECh. 21 - Prob. 10RQECh. 21 - Prob. 11RQECh. 21 - Prob. 12RQECh. 21 - Prob. 13RQECh. 21 - Prob. 14RQECh. 21 - Prob. 15RQECh. 21 - Prob. 16RQECh. 21 - Prob. 17RQECh. 21 - Prob. 18RQECh. 21 - Prob. 19RQECh. 21 - Prob. 20RQECh. 21 - Prob. 21RQECh. 21 - Prob. 22RQECh. 21 - Prob. 23RQECh. 21 - Prob. 24RQECh. 21 - Prob. 25RQECh. 21 - Prob. 1PCCh. 21 - Prob. 2PCCh. 21 - Prob. 3PCCh. 21 - Prob. 4PCCh. 21 - Prob. 5PCCh. 21 - Prob. 6PCCh. 21 - Prob. 7PCCh. 21 - Prob. 8PC
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- Create the corresponding counting trees with the following traversals:1. Pre: IAMHEDBCFLPost: EHDMALFCBIIn: AHEMDICFLB2. Pre: ABDGCEHIFIn: DGBAHEICF3. Post: CBFEGDAIn: CBAEFDG4. Post: FABG/+CD - ^*In: F/AGB*+^C-Darrow_forwardGeneral trees only have explicit access to the ___________ child.arrow_forwardPythin: A binary search tree, write a function that finds and returns the median value. Assume that the class member variable. [_size] contains the number of elements in the binary search tree. What is the time complexity of your function? def find_median(self):arrow_forward
- A tree node that has no children is called a(n)___________ node.arrow_forwardIn a tree, a node that has no children is called ___________. External node Root node Sibling node Internal nodearrow_forward77. A full binary tree can be generated using ______ a) post-order and pre-order traversal b) pre-order traversal c) post-order traversal d) in-order traversalarrow_forward
- Program 3: Binary Search Tree Program Objective The primary objective of this program is to learn to implement binary search trees and to combine their functionalities with linked lists. Program Description In a multiplayer game, players' avatars are placed in a large game scene, and each avatar has its information in the game. Write a program to manage players' information in a multiplayer game using a Binary Search (BS) tree for a multiplayer game. A node in the BS tree represents each player. Each player should have an ID number, avatar name, and stamina level. The players will be arranged in the BS tree based on their ID numbers. If there is only one player in the game scene, it is represented by one node (root) in the tree. Once another player enters the game scene, a new node will be created and inserted in the BS tree based on the player ID number. Players during the gameplay will receive hits that reduce their stamina. If the players lose all their stamina, they vanish from the…arrow_forwardQ4: 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 nodearrow_forwardA full binary tree can be generated using ______ A) in-order traversal B) post-order traversal C) post-order and pre-order traversal D) pre-order traversalarrow_forward
- Get the Longest Path Write a member function called DLList BST:: get longest_path() that returns a DLL of the longest path in the tree. For example, the red nodes in the following tree are on the longest path and should be added to the list. In case there are multiple longest paths, retrieve any of them.arrow_forwardq1) In the tree data structure, terminal nodes have _________ number of children. a. Depends on the problem. b. 0 c. 2 d. 1arrow_forwardData Structures 501324-3 Sections: 2759& 3137 Question : Tree Draw the Binary Search Tree that would result from the insertion of the following integer keys: 10 6 12 8 16 24 2 5 b) After you create the binary search tree, Show the output of: 1) Inorder Tree Traversal, 2) Preorder Tree Traversal, 3) Postorder Tree Traversal,arrow_forward
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