The following is definition of Binary Search Tree BST according to Wikipedia. Binary Search Tree, is a node-based binary tree data structure which has the following properties: The above properties of Binary Search Tree provide an ordering among keys so that the operations like search, minimum and maximum can be done fast.

If there is no ordering, then we may have to compare every key to search a given key.

Searching a key To search a given key in Bianry Search Tree, we first compare it with root, if the key is present at root, we return root. Otherwise we recur for left subtree. Image is taken from here.

Binary Search Tree | Set 1 (Search and Insertion) - GeeksforGeeks

Insertion of a key A new key is always inserted at leaf. We start searching a key from root till we hit a leaf node. Once a leaf node is found, the new node is added as a child of the leaf node. The worst case time complexity of search and insert operations is O h where h is height of Binary Search Tree.

In worst case, we may have to travel from root to the deepest leaf node. The height of a skewed tree may become n and the time complexity of search and insert operation may become O n.

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Company-wise Problems Topic-wise Problems Subjective Problems Difficulty Level - School Difficulty Level - Basic Difficulty Level - Easy Difficulty Level - Medium Difficulty Level - Hard How to pick a difficulty level? Binary Search Tree Set 1 Search and Insertion The following is definition of Binary Search Tree BST according to Wikipedia Binary Search Tree, is a node-based binary tree data structure which has the following properties: The left and right subtree each must also be a binary search tree.

There must be no duplicate nodes.

A utility function to search a given key in BST def search root,key: Python program to demonstrate insert operation in binary search tree A utility class that represents an individual node in a BST class Node: Check if each internal node of a BST has exactly one child Convert a BST to a Binary Tree such that sum of all greater keys is added to every key. Load Comments Share this post! Trending Content Why is Binary Search preferred over Ternary Search?

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