EBK DATA STRUCTURES AND ALGORITHMS IN C
4th Edition
ISBN: 9781285415017
Author: DROZDEK
Publisher: YUZU
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In the binary search tree, write a function that takes in a root, p, and checks whether the tree rooted in p is a binary search tree or not. What is the time complexity of your function?
def is_bst(self, p: Node):
a) Write a function that will print the even elements in each level of the binary search tree.
b) Write a function that will count total number of odd nodes of the tree.
10
/ \
6 13
/ \ / \
3 8 11 16
The output of the given tree when the function is applied:
10
6
8 16
Total number of odd nodes is 3.
You have to answer both (a) and (b) in same code calling from main function. The base code is given bellow. Modify and write only the main function and the additional function needed to solve the problem in the answer script.
BST code:
#include<iostream>
using namespace std;
struct node
{
int key;
struct node *left, *right;
};
// A utility function to search a given node
bool search(struct node* root, int key)
{
// Base Cases: root is null or key is present at root
if (root == NULL)
return false;
else if(root->key == key)
return true;
// Key is greater than root's key
else if…
A new property named search key was introduced to handle generic search keys. How may this impact the B+ tree's growth potential?
Chapter 13 Solutions
EBK DATA STRUCTURES AND ALGORITHMS IN C
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Similar questions
- In C++, develop an algorithm that inserts the value val into a binary search tree with root. If the tree is empty, root = null. The algorithm returns the root of the tree containing the added item. You should assume that “new node” creates a new node with data field data and reference fields left (for left child) and right (for right child).arrow_forwardWhat type of tree is returned when you instantiate a Java Standard Library tree with ordered data?arrow_forwardWhich is superior: the standard binary tree or the enhanced binary search tree?arrow_forward
- Please implement preOrderIterator(), inOrderIterator(), and postOrderIterator() methods that use an iterator that implements Iterator<E> for a binary Search Tree in Java.arrow_forward1. Modify the implementation of binary search tree and add a function to count the number of leaf nodes. 2. Modify the implementation of binary search tree and add a function to calculate the height of the tree. Run this project in C++.arrow_forwardWrite a program using c++ to implement a character-based Binary Search Tree (BST). Each node in the BST should be store student name (string) as follows: class Node{// node prototype public: char ch;// this letter is taken from student first letter string studentName; Node *leftChild; Node *rightChild; }; For example, if a student’s name is Adam then ch will be equals to A. If the student’s name is Lee then ch will be equal to L. The insertion of a node to the BST is based on the first letter of the student name. Your program should display the following: 1. Insert a node (base on ch) 2. Find a node (base on student name) 3. Delete a node (consider all three cases of delete) 4. Exit and Output/results provided and explain the algorithm with a given input.arrow_forward
- Write a program using c++ to implement a character-based Binary Search Tree (BST). Each node in the BST should be store student name (string) as follows: class Node{// node prototype public: char ch;// this letter is taken from student first letter string studentName; Node *leftChild; Node *rightChild; }; For example, if a student’s name is Adam then ch will be equals to A. If the student’s name is Lee then ch will be equal to L. The insertion of a node to the BST is based on the first letter of the student name. Your program should display the following: 1. Insert a node (base on ch) 2. Find a node (base on student name) 3. Delete a node (consider all three cases of delete) 4. Exit Step by step output: ------------------------------------------------------------------------------------------------------------ Insert a node (base on ch) Find a node (base on student name) Delete a node (consider all three cases of…arrow_forwardWhat kind of tree is generated for ordered data by the Java Standard Library?arrow_forwardWrite a function, singleParentWithLeftChild, that returns the number of nodes in a binary tree (pointed by p) that have only one left child. Your program should NOT count the nodes with one right child. (30 point) // find the number of singles parent nodes in a binary subtree pointed by p int BST::singleParentWithLeftChild(TreeNode* p) { // write your code here! }arrow_forward
- python: In a binary search tree, write another way of function that takes in a root, p, and checks whether the tree rooted in p is a binary search tree or not. What is the time complexity of your function? def is_bst(self, p): root=p def helper(root, l, r): if not root: return True if not (left<root.val and root.val<right): return False return helper(root.l, l, root.val) and helper(root.r, root.val, r) return helper(root, float('-inf'), float('inf'))arrow_forwardWrite a program in C++ to implement Binary Search Tree with insert, delete and search operations.arrow_forwardImplement a binary search tree in Python that allows duplicates. Each node must maintain a linked list for the items that are considered duplicates. Print the tree in postorder including duplicates. Create the diagram (image) of the requested tree with data and duplicate data and implement the diagram in your program with the following specification: 32 nodes and 7 lists with 2 duplicate data.arrow_forward
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