Question

1. Assume the key of the right child below the root node of a binary search...

1. Assume the key of the right child below the root node of a binary search tree is 40. The value in the root node could be ________.

2. On average, searching for an item in a balanced binary search tree is _________ operation.

3. Where is the inorder successor of a node A in a binary search tree?

Homework Answers

Answer #1

1) The key of the right child below the root node of BST is 40. The right child has values greater than the root node. So all values which are less than 40 can be in the root node

2) In a balanced BST, searching is a O(log n) operation as we have all elements arranged in order. Elements left of root node contain lesser values and right elements contain greater value.

3) The inorder successor of a node A in a BST is the next node in the inorder traversal of the BST

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
(TCO 6) In the following binary tree, the root node is _____. 24 32 17 37...
(TCO 6) In the following binary tree, the root node is _____. 24 32 17 37 (TCO 6) In the following binary tree, the height of the node with value 39 is _____. Group of answer choices 1 2 3 4 (TCO 6) In a binary search tree, the key in the _____ node is larger than the key in the root node. Group of answer choices right left root header
In this lab, you will write a program that creates a binary search tree based on...
In this lab, you will write a program that creates a binary search tree based on user input. Then, the user will indicate what order to print the values in. **Please write in C code** Start with the bst.h and bst.c base code provided to you. You will need to modify the source and header file to complete this lab. bst.h: #ifndef BST_H #define BST_H typedef struct BSTNode { int value; struct BSTNode* left; struct BSTNode* right; } BSTNode; BSTNode*...
You are given a reference to the root node of a binary search tree, that implements...
You are given a reference to the root node of a binary search tree, that implements a dictionary data structure. Please print all the elements in depths 500 through 510, all in sorted order. A node in a binary search tree is at depth x, if it takes x hops to get from the root. So the root is at depth 0, the children of the root are at depth 1, and so on. The class TreeNode defines a single...
The Binary Search Tree implementation for bst.zip. The code in the destructor of the BST class...
The Binary Search Tree implementation for bst.zip. The code in the destructor of the BST class is empty. Complete the destructor so the memory allocated for each node in the BST is freed. Make a couple of different trees in your main method or in a function to test the destructor (the program should not crash upon exiting). bst.zip (includes the following files below in c++): bst.h: #pragma once #include #include "node.cpp" using namespace std; template class BST { public:...
‏What is the output of the Euler tour in the normal binary search tree if the...
‏What is the output of the Euler tour in the normal binary search tree if the key insert order is 5 , 2 , 8 , 5 , 9 , 5 , 1 , 3 , 4 , 2 , 8 ? All keys equal to the node should be the right subtree of that node. ____________________________________________________________ ‏Construct the binary max - heap for the keys given below. Once all the keys are inserted, perform the remove maximum operation, and...
Binary Heap with root index of 1 (a) If a node is at index k ,...
Binary Heap with root index of 1 (a) If a node is at index k , what is its parent’s index? b) If a node is at index k , what is its left child index? c) If a node is at index k , what is its right child’s index? d) What is the largest index of a node has at least a child in a heap with n nodes?
Consider a binary search tree where each tree node v has a field v.sum which stores...
Consider a binary search tree where each tree node v has a field v.sum which stores the sum of all the keys in the subtree rooted at v. We wish to add an operation SumLE(K) to this binary search tree which returns the sum of all the keys in the tree whose values are less than or equal to K. (a) Describe an algorithm, SumLE(K), which returns the sum of all the keys in the tree whose values are less...
Consider this binary search tree: 14 / \ 2 16 / \ 1 5 / 4...
Consider this binary search tree: 14 / \ 2 16 / \ 1 5 / 4 Suppose we remove the node with value 2. What will be the new tree? 14 / \ 4 16 / \ 1 5 14 / \ 5 16 / \ 1 4 4 / \ 5 16 / / 1 14 14 / \ Null 16 / \ 1 5 / 4
Binary Search Tree with multiple structs? Hi, I am having an issue with trying to create...
Binary Search Tree with multiple structs? Hi, I am having an issue with trying to create a binary search tree while having multiple structs. The struct code provided is provided for us. #define CAT_NAME_LEN 25 #define APP_NAME_LEN 50 #define VERSION_LEN 10 #define UNIT_SIZE 3 struct app_info{ char category[CAT_NAME_LEN]; // name of category char app_name[APP_NAME_LEN]; // name of application char version[VERSION_LEN]; // version number float size; // size of application char units[UNIT_SIZE]; // GB or MB float price; // price in...
Here is a modification of the BST program that includes a recursive find method: BinarySearchTree2C.java (posted...
Here is a modification of the BST program that includes a recursive find method: BinarySearchTree2C.java (posted below) Implement the following methods using recursion: int depth() // returns the length of the deepest path from root to any leaf int node_count() // returns the number of nodes in the tree void insert(int n) // inserts value n into the tree BinarySearchTree2C clone() // returns a clone (deep copy) of the tree Add code to the main method to test these methods....