Question

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?

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

(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 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 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 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 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 , 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 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
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 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 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....

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