How to insert a new node to Binary Search Tree? a. Insert a new node as the last element of the last level and call heapify() method b. Starting from the root go to the right or left child of each node according to the new node`s key recursively till it finds an empty position c. Place a new node as the root of BST and set a previous root as a right child of a new root d. None of the above e. Starting from the root go to the right or left child of each node according to the new node`s key recursively till it finds a node with the same key
Question
How to insert a new node to Binary Search Tree?
a. Insert a new node as the last element of the last level and call heapify() method
b. Starting from the root go to the right or left child of each node according to the new node`s key recursively till it finds an empty position
c. Place a new node as the root of BST and set a previous root as a right child of a new root
d. None of the above
e. Starting from the root go to the right or left child of each node according to the new node`s key recursively till it finds a node with the same key
Solution 1
The correct answer is:
b. Starting from the root go to the right or left child of each node according to the new node`s key recursively till it finds an empty position
Here is the step by step process:
- Start from the root of the Binary Search Tree (BST).
- Compare the new node's key with the key of the root.
- If the new node's key is less than the root's key, move to the left child. If the left child is null, insert the new node here. If not, repeat the process from step 2 with the left child as the new root.
- If the new node's key is greater than the root's key, move to the right child. If the right child is null, insert the new node here. If not, repeat the process from step 2 with the right child as the new root.
- If the new node's key is equal to the root's key, you can either choose to not insert the new node (since BST typically doesn't allow duplicate values) or you can define your BST to handle duplicates in a certain way (like always inserting duplicates on the right or left).
Solution 2
The correct answer is b. Starting from the root go to the right or left child of each node according to the new node`s key recursively till it finds an empty position. This is how a new node is inserted into a Binary Search Tree (BST). The key of the new node is compared with the root and if it's less than the root, it goes to the left child, and if it's greater, it goes to the right child. This process is repeated until an empty position is found, and then the new node is inserted at that position.
Similar Questions
What is required in order to insert a new node into a Binary Search Tree, or BST?Instruction: Choose the option that best answers the question. Answer ChoicesThere are no requisites when attaching new nodes into a BSTThe appropriate leaf node or terminating node must be found in the tree to attach the new nodeThe root node must be found in the tree to attach the new nodeThe appropriate leaf node or target node must be found in the tree to attach the new node
A binary search tree is generated by inserting following integers: 41, 30, 60, 25, 78, 90, 39, 50The number of nodes in the left subtree and right subtree of the root respectivelyA3, 4B5, 3C3, 5D4, 4
BSTWrite a program to insert elements into a Binary Search Tree (BST). The program should allow the user to input elements until they enter -1 to stop. After the insertion, print the inorder traversal of the BST.Constraints:NAExample:Sample Input:5030702040-1Sample Output:20 30 40 50 70
Insertion of a Node in B-Tree happens at_________
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