# How do you left rotate a binary search tree?

## How do you left rotate a binary search tree?

Tree rotation In a binary search tree, a left rotation is the movement of a node, X, down to the left. This rotation assumes that X has a right child (or subtree). X’s right child, R, becomes X’s parent node and R’s left child becomes X’s new right child.

## What are the advantages of AVL tree over BST?

Advantages of AVL Trees The height of the AVL tree is always balanced. The height never grows beyond log N, where N is the total number of nodes in the tree. It gives better search time complexity when compared to simple Binary Search trees. AVL trees have self-balancing capabilities.

**How can AVL tree be useful in all the operations as compared to binary search tree?**

Efficient searching can be done by AVL tree because it is strictly balanced. All binary search can’t be an AVL tree because either they can be balanced or unbalanced. AVL tree also be a kind of binary search tree because an AVL tree follows conditions of binary search tree.

### How do you left rotate an array?

The array can be left rotated by shifting its elements to a position prior to them which can be accomplished by looping through the array and perform the operation arr[j] = arr[j+1]. The first element of the array will be added to the last of rotated array.

### How do you reverse a binary tree?

An inversion, or mirror, of a Binary Tree (T), is just a Binary Tree M(T) whose left and right children (of all non-leaf nodes) are swapped….The solution is a simple recursive approach:

- Call invert for left-subtree.
- Call invert for right-subtree.
- Swap left and right subtrees.

**Which is better AVL or BST?**

AVL tree is also a BST but it can rebalance itself. This behavior makes it faster in worst cases. It keeps rebalancing itself so in worst case it will consume O(log n ) time when the plain BST will take O(n). So, the answer to your question: It is always better to implement AVL tree than just plain BST.

## Which rotation is applied if new node y is inserted in the left subtree of the left child of a?

Right Rotation

Right Rotation. AVL tree may become unbalanced, if a node is inserted in the left subtree of the left subtree. The tree then needs a right rotation. As depicted, the unbalanced node becomes the right child of its left child by performing a right rotation.