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Starting Out with C++: Early Objects (9th Edition)
9th Edition
ISBN: 9780134400242
Author: Tony Gaddis, Judy Walters, Godfrey Muganda
Publisher: PEARSON
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Question
Chapter 19, Problem 12RQE
Program Plan Intro
Binary tree:
- Binary tree is a non-linear data structure.
- Binary tree contains node such as root node that is pointed to two child nodes.
- A root node will have left reference node and right reference node.
- Binary tree will contain more than one self-referenced field.
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Students have asked these similar questions
In Python
Implement a binary search tree and write a function to determine if it is a valid binary search tree.
Create a binary linked tree, and traverse the tree by using the recursive function.
The structure of the tree is as follow:
You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space.
Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes.
Count the height of the tree.
Header file
typedef char ElemType;
typedef struct node//define the type of binary tree node
{
}BTnode;
Source file
#include <stdio.h>
#include <stdlib.h>
#include "tree.h"
BTnode * createTree()//create the binary tree,return the root
{
BTnode *tnode;// tnode is the root
char elem;
;//input the character
//if the input is a space,set the pointer as NULL
Else// if the input is not a space,generate the binary node and create its left sub-tree and right…
Chapter 19 Solutions
Starting Out with C++: Early Objects (9th Edition)
Ch. 19.1 - Prob. 19.1CPCh. 19.1 - Prob. 19.2CPCh. 19.1 - Prob. 19.3CPCh. 19.1 - Prob. 19.4CPCh. 19.1 - Prob. 19.5CPCh. 19.1 - Prob. 19.6CPCh. 19.2 - Prob. 19.7CPCh. 19.2 - Prob. 19.8CPCh. 19.2 - Prob. 19.9CPCh. 19.2 - Prob. 19.10CP
Ch. 19.2 - Prob. 19.11CPCh. 19.2 - Prob. 19.12CPCh. 19 - Prob. 1RQECh. 19 - Prob. 2RQECh. 19 - Prob. 3RQECh. 19 - Prob. 4RQECh. 19 - Prob. 5RQECh. 19 - Prob. 6RQECh. 19 - Prob. 7RQECh. 19 - Prob. 8RQECh. 19 - Prob. 9RQECh. 19 - Prob. 10RQECh. 19 - Prob. 11RQECh. 19 - Prob. 12RQECh. 19 - Prob. 13RQECh. 19 - Prob. 14RQECh. 19 - Prob. 15RQECh. 19 - Prob. 16RQECh. 19 - Prob. 17RQECh. 19 - Prob. 18RQECh. 19 - Prob. 19RQECh. 19 - Prob. 20RQECh. 19 - Prob. 1PCCh. 19 - Prob. 2PCCh. 19 - Prob. 3PCCh. 19 - Prob. 4PCCh. 19 - Prob. 5PCCh. 19 - Prob. 6PCCh. 19 - Prob. 7PCCh. 19 - Prob. 8PCCh. 19 - Prob. 9PCCh. 19 - Prob. 10PC
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Similar questions
- Create a function that takes an array that represent a Binary Tree and a value and return true if the value is in the tree and, false otherwise. Examples valueInTree (arr1, 5) true valueInTree (arr1, 9) → false valueInTree (arr2, 51) → falsearrow_forward1. Give a recursive algorithm in pseudocode to compute the diameter of a binary tree. Recall that diameter is defined as the number of nodes on the longest path between any two nodes in the tree. Nodes have left and right references, but nothing else. You must use the height function, defined as follows, in your solution. Your solution will return the diameter of the tree as an integer. function height (Node n) 1. if n = null 2. return -1 3. return 1 + max (height (n.left), height (n.right)) Write your solution below. function diameter (Node n)arrow_forwardConstruct 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.arrow_forward
- Create a binary linked tree, and traverse the tree by using the recursive function. The structure of the tree is as follows: //check pic// You should input the nodes in pre-order sequence. If a child of a node is NULL, input a space. Write the function of create binary tree, pre-order to print the nodes, in-order to print the nodes and post-order to print the nodes. Count the height of the tree. Hints: Header file typedef char ElemType; typedef struct node//define the type of binary tree node { }BTnode; Source file #include <stdio.h> #include <stdlib.h> #include "tree.h" BTnode * createTree()//create the binary tree,return the root { BTnode *tnode;// tnode is the root char elem; ;//input the character //if the input is a space,set the pointer as NULL Else// if the input is not a space,generate the binary node and create its left…arrow_forward4. a) The preorder traversal of a Binary Search Tree (BST) is given below. 75 55 45 50 60 65 95 85 110 100 Draw the BST and briefly explain the process you followed to build the tree. b) Write a function f1 that takes the root of a binary tree as a parameter and returns the sum of the nodes, which are the right child of another node. The root of the tree is not a child of any node. Consider the following class definitions while writing your code. class Node { public: int key; Node* left; Node* right; } ;arrow_forwardStore the data in an AVL Binary Search Tree. Record the time to insert all data into the AVL tree. Test the search function using the search data and record the timing of the searches. using C++ language.arrow_forward
- 4. Write a recursive algorithm in pseudocode that finds the lowest common ancestor (LCA) of two given nodes in a binary tree T. The lowest common ancestor is defined between two nodes p and q as the lowest node in T that has both p and q as descendants (where we allow a node to be a descendant of itself). If either p or q is null, the LCA is null. For this problem, Nodes have left, right, and parent references as well as a field called level which stores the level of the node in the tree. In the sample tree below, node 5 is on level 0, while nodes 4 and 6 are on level 1. Write your solution here. 5 <- level 0 4 6 < level 1 function lowest_common_ancestor (Node P, Node q)arrow_forwardwrite a c++ code using binary search tree to store ten names of cities, search city names in tree, remove three cities name, beside the used cities in code add two new names of cities and search those newly added cities (code consist of all of above tasks)arrow_forwardb. Given a BST whose root node is represented by the node root. Write a function findroots(Node * root) to traverse the BST and print the number of total parent (atleast have a child node) nodes of the BST. N.B: Print order doesn't matter Fig 1: An example Binary Search Tree. 5 For example: In this figure, there are total 4 parentsarrow_forward
- Java code neededarrow_forwardwrite a recursive C function to evaluate a binary tree. single argument is pointer to a Node. each node will have an integer value, an operation and 2 pointers to other nodes. if the operation is 0 ,then there are no other nodes and only the value of the current node should be return otherwise perform the operation and return the result plus the value of current nodearrow_forwardQ-13. Recursive binary tree code. Write a recursive C++ function called insert which takes two arguments: a pointer to the root of a binary scarch tree whose nodes are as defincd above, and an integer key. The function inscrts a new key into the tree and returns a pointer to the node. The tree should only store unique keys. When a duplicate key is encountered, the function increments the appropriate node count variable and returns a pointer to the node.arrow_forward
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