What is a node in BST?

A binary tree is made up of nodes, where each node contains a “left” reference, a “right” reference, and a data item. The top node of the tree is called the root. On the other hand, each node can be connected to an arbitrary number of nodes, called children. Nodes without children are called leaves or external nodes.

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## What is BST in Java?

A binary search tree (BST) is a node-based binary tree data structure that has the following properties. The right subtree of a node contains only nodes with keys greater than the node’s key. • The left and right subtrees must also be binary search trees.

## What are the advantages of BST?

The advantages of BST are:

- we can always keep the cost of insert(), delete(), lookup() to O(logN) where N is the number of nodes in the tree, so the benefit is that lookups can be performed in logarithmic time, which it matters a little. a lot when N is large.
- We have an ordering of keys stored in the tree.

## What are the disadvantages of BST?

It is more complicated than linear search and is overkill for very small numbers of items.

## What are the advantages and disadvantages of BST?

Advantages of using the binary search tree In the search process, it removes half of the subtree at each step. Searching for an element in a binary search tree takes time o(log2n). In the worst case, the time it takes to search for an element is 0(n).

## How to find minimum and maximum nodes in a BST?

1 Given a binary search tree (BST), find the minimum and maximum element in a BST 2 Traverse the binary search tree using the recursive depth search algorithm (DFS). 3 The properties of binary search trees are: The left child node is less than its parent node. 4 We will demonstrate pairs of examples to find the minimum and maximum node in a BST.

## How to add a node to a BST tree?

The first thing after you’ve done the initial steps is to find a way to add a node to the tree. To add a new node to the tree without breaking the BST invariant, we need to keep a few things in mind: If the value of the node we are going to insert is less than the value of the current node, go to the left child of the current node.

## How to create a BST class in Java?

Initially, we discern that in a BTS, each node contains its own value and at most 2 children. So, we start doing a BST by creating a class called Node, which contains the data of the node and the references to its children, and for better encapsulation, here we are going to use this class as a nested class:

## What makes a binary search tree a BST?

For a binary tree to be a binary search tree (BST), the data of all nodes in the left subtree of the root node must be less than or equal to the data of the root. The data of all nodes in the right subtree of the root node must be greater than the data of the root.

## Is the process of visiting each node in a tree at least once?

In computer science, tree traversal (also known as tree search and tree walking) is a form of graph traversal and refers to the process of visiting (checking and/or updating) each node in a tree data structure , exactly once.

## How do you find a specific node in a BST?

searchNode() will search for a particular node in the binary tree:

- Checks if the root is null, which means the tree is empty.
- If the tree is not empty, will it compare the temperature?
- Traverse the left subtree by recursively calling searchNode() and check if the value is present in the left subtree.

## Does BST accept duplicates?

In the book Introduction to Algorithms, Third Edition, by Cormen, Leiserson, Rivest, and Stein, a Binary Search Tree (BST) is explicitly defined as allowing duplicates.

## How to insert a node in a BST iteratively?

A recursive approach to insert a new node in a BST is already discussed in the post: Binary Search Tree | SET 1. In this post, an iterative approach to insert a node in BST is discussed. A new key is always inserted into the leaf node. Start looking for a key from the root until we reach a leaf node.

## What happens when you insert a value into a BST?

The reason is that when you insert a value into a BST, you have to make sure that the BST is still a BST (for example, the left child contains nodes with values less than the parent node and where the right child only contains nodes with values greater than or equal to the parent.).

## Do you need to insert keys into a BST?

Given a BST and some keys, you need to insert the keys into the given BST. Duplicates are not inserted (if a test case contains duplicate keys, you should consider the first occurrence and ignore the duplicates). The first line of input contains the number of test cases T. For each test case, there will be two lines.

## When to insert a node in a binary search tree?

Explanation: The new node 40 is a leaf node. Start searching from the root until a leaf node is reached, i.e. while searching if a new value is greater than the current node, move to the right child, otherwise to the left child. Explanation: The new node 600 is a leaf node.