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If it is an unbalanced binary tree, O( ln( n ) / ln( 2 ) ) is best-case. Worst case is O( n ).

If it is balanced, worst case is O( ln( n ) / ln( 2 ) ).

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What are the key differences between an AVL tree and a binary search tree, and how do these differences impact their performance and efficiency in terms of search operations?

An AVL tree is a self-balancing binary search tree where the heights of the two child subtrees of any node differ by at most one. This ensures that the tree remains balanced, leading to faster search operations. In contrast, a binary search tree does not have this balancing property, which can result in an unbalanced tree and slower search times. Overall, AVL trees are more efficient for search operations due to their balanced nature, while binary search trees may require additional operations to maintain balance and optimize performance.


Is an AVL tree a binary search tree (BST)?

Yes, an AVL tree is a type of binary search tree (BST) that is balanced to ensure efficient searching and insertion operations.


What is the time complexity of operations on a balanced binary search tree?

The time complexity of operations on a balanced binary search tree, such as insertion, deletion, and search, is O(log n), where n is the number of nodes in the tree. This means that these operations can be performed efficiently and quickly, even as the size of the tree grows.


Does binary tree and binary search tree same?

no they are not same


What are the differences between a heap and a binary search tree in terms of their structure and operations?

A heap is a complete binary tree where each node has a value greater than or equal to its children, and it is typically used for priority queue operations like inserting and removing the maximum element. On the other hand, a binary search tree is a binary tree where each node has a value greater than all nodes in its left subtree and less than all nodes in its right subtree, and it is used for efficient searching, insertion, and deletion operations.


Are binary search trees always balanced?

No, binary search trees are not always balanced. Balancing a binary search tree involves ensuring that the height difference between the left and right subtrees of each node is at most 1. Unbalanced binary search trees can lead to inefficient search and insertion operations.


How can you merge two binary search trees into a single binary search tree?

To merge two binary search trees into a single binary search tree, you can perform an in-order traversal on each tree to extract their elements, combine the elements into a single sorted list, and then construct a new binary search tree from the sorted list. This process ensures that the resulting tree maintains the binary search tree property.


What is the purpose of performing a binary search tree inorder traversal?

Performing a binary search tree inorder traversal helps to visit all nodes in the tree in ascending order, making it easier to search for specific values or perform operations like sorting and printing the elements in a sorted order.


What is complexity of binary search tree?

The complexity of binary search tree : Search , Insertion and Deletion is O(h) . and the Height can be of O(n) ( if the tree is a skew tree). For Balanced Binary Trees , the Order is O(log n).


How do you print all data in a Binary Search Tree?

By using Depth First Search or Breadth First search Tree traversal algorithm we can print data in Binary search tree.


How can you balance a binary search tree to optimize its performance?

To balance a binary search tree and optimize its performance, you can use techniques like rotations, reordering nodes, and maintaining a balance factor. These methods help ensure that the tree is evenly distributed, reducing the time complexity of operations like searching and inserting.


What is the different between a binary search tree and a binary tree?

self depend friend"s............