AVL Tree Insertion Example(2 Solved Problems) with Diagram & Explanation | AVL trees - DSA

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AVL tree is a self-balancing Binary Search Tree (BST) where the difference between heights of left and right subtrees cannot be more than one for all nodes. This difference is called the Balance Factor.
In this tutorial we will solve 2 numericals based on AVL tree -
1) Balancing an imbalanced binary search tree to AVL tree using rotations
2) Creating an AVL tree using an insert sequence of node values
We will perform the rotations in both these cases whenever imbalance is detected.
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Timecodes -
00:00 Introduction & Recap
01:33 AVL tree Rotations with more than 3 nodes
02:23 LEFT LEFT Case
09:38 RIGHT RIGHT Case
13:54 LEFT RIGHT Case
19:35 RIGHT LEFT Case
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Sir In last insrtion of 99 You forgot to take 44 which was there in previous step, and after inserting 99 the tree is automatically balanced so no need of further
please check it once.

vijaybhame
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you did a mistake at adding 99 you forget about 44 that was child of 35 and you missed that because of that your tree got imbalance at 55 but still you're king and you helped me alot with oop and dsa thanks for the efforts you have done for all of us lots of love from Pakistan

dooooooom-yl
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You missed 44. This is the problem when you do it all alone... I guess🤷‍♀️. Can you get yourself a companion so that you can upload videos even faster and the other would also help in validation?

abhinavbarvemusic
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Appreciated man all these videos are best !

burhanmirza
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hey at 43:44 i guess you have missed to attach 44 to 35, so if you attach i feel 55 will be balanced, do check it out

alloydsaviomendonca
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Sir you forget to add 44 in the final AVL Tree

-GuptaRahul
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Nice explanation brother..You just missed value 44 at the end..But nicely explained.

omkarshirsath
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Wow thank you!
I have a test on thursday and this cleared up some questions. I appreciate it!!

JohnKlaven
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Bro you missed to consider node 44 at 42:20

kirtientertainments
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Can you please upload the videos related to TBT and Code related to graphs like DFS, BFS, Minimum Spanning Tree using Prims and Kruskals Algorithm, Shortest Path using Dijkstra's algorithm. Your lectures would help most of the people as these topics are somewhat difficult to implement.

dipteshwarule
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Just Amazing...
What a video explanation.. It was a very helpful video..

g.mzesan
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u missed 44 somewhere in midst, btw loved the explanation

sheetalsahu
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best tutorial
here are the points:
- we will perform rotations when balanced condition is not satisfied
- in right rotation of 3 nodes, central node becomes parent node(new root node) and top node becomes right child = left left imbalance
- in left rotation of 3 nodes, central node becomes parent node and top node becomes left child = right right imbalance
- critical node is the node whose balance factor is neither 1, 0, -1
- remember when we are doing rotations we should consider imbalanced node and 2 nodes below it
- imbalanced node will be lower node ( if 2 and -2 are 2 imbalanced nodes, we will consider node with -2(lower))
- balance factor = left - right
- how to detect LR or RL cases
- LR case is left and then right turn from 1st to 3rd node : we do LR rotation
- RL case is right and then left turn from 1st to 3rd node : we do RL rotation
- in LR rotation : 3rd becomes parent node or new root node(top), 1st node becomes right child (consider nodes as 1, 2, 3 from imbalanced node)
- in RL rotation : 3rd becomes parent node or new root node(top), 1st node becomes left child
- *bottom node becomes root node
#peace is my favorite line

basic
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42:22 you forgot to add 44 node..but nice video ..keep it up

bharat_
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We Love You bro, You doing amazing job

dushyantjakhar
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Sir your videos are awesome and self explanatory...💯💯

dipteshwarule
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Hello sir, ty for your clear tutorials as usual. I hope you can teach us machine learning in the future.

bingkysskiliwaax
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great explanation bro keep going... keep doing...

ponradhakrishnan
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should the last result be "self-balanced binary search tree"? I mean after 99 gets added to the tree, where the 44 is inside too... so you don't have to do rotating... my calculation where the last number (99) gets inserted is a balance one...

anyway, thank you for your efforts. It helps me a lot!

hinamitsuha
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Broo you forgot to add 44 (42:21)
But it's OK
I got the concept

shivakumary
welcome to shbcf.ru