AVL Trees Tutorial | Self Balancing Binary Search Trees
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- čas přidán 21. 07. 2024
- This is the second tutorial in the complete tree playlist of the DSA bootcamp for interview preparation: • Complete Tree Data Str... .
In this video, we delve into AVL trees, which are a type of self-balancing binary tree, and a crucial data structure for coding interviews. You will learn about the inner workings and use cases of AVL trees and follow along as we implement them from scratch, backed by clear explanations and practical examples.
Take part in the learning in public initiative! Share your learnings on LinkedIn and Twitter with #DSAwithKunal & don't forget to tag us!
👉 Resources
- Join Replit: join.replit.com/kunal-kushwaha
- AVL code: replit.com/@KunalsReplit/Tree...
- Complete Java DSA playlist: • Java + DSA + Interview...
- Code, Assignments, & Notes: github.com/kunal-kushwaha/DSA...
➡️ Connect with me: kunalkushwaha.com
========================================================
Timestamps:
00:00:00 Introduction
00:03:15 Problem with BST
00:12:48 Self balancing binary trees
00:15:31 AVL trees theory + algorithm
00:34:36 Example walkthrough
00:40:57 Time complexity
00:42:22 Code
01:04:24 Closing remarks
#trees #placements #dsa
👉 Resources
- Join Replit: join.replit.com/kunal-kushwaha
- AVL code: replit.com/@KunalsReplit/Trees-2-AVL
please complete the dsa series, we are having to shift to other sources for it, but i want to complete it from you only... u are really good in explaining and detailed and simplified as well. thank u!
Thank You for the amazing session @KunalKushwaha . One Observation. Examples of the 4 cases can cause confusion as to how that state of the tree came into existence. For Instance, @ 30:56, assuming that order of insertion of g-node's children is t2, t3. Then, right-left case would get executed as soon as t2 gets added as a child to g-node, and at this point, t3 is not even added to g-node.
Please correct me if I am wrong in the concept.
Please complete this java/dsa series not only me but many of my friends are waiting for this to complete and get placed in 2024. The best JAVA/DSA series ever. Great Job Man.
Yes bro..if you complete this course as soon as possible covering all topics....then you can be free from those comments for DSA
Hey bro can you help me ? I wanna know if i should do those assignments of follow a dsa sheet of other youruber
@@insidiousop3487 yeah, you should do those assignments those are worth it. Specially the leet code assignments provided by kunal those apply every topic's concepts.
@@kookiechan556 are those assignments enough ? Do i need to do any extra than that ?
@@insidiousop3487you would need to do extra for clearing OAs imo.
Thank you for posting this. I hope you find time and complete this playlist soon. Once again, thank you so much. Lots of love, Kunal ❤
Please Complete this playlist ASAP, learnt recursion from you man it is amazing.
Hey, the height of the tree shouldn't be 10 because log(1000) == 10, right? So, the output has to be 10. What do you think?
@@Hamim-Talukdar you are correct bro
@@Hamim-Talukdar i think something wrong in his code
package Tree;
public class AVL {
private class Node{
private int value;
private Node left;
private Node right;
private int height;
public Node(int value){
this.value = value;
}
}
public int height(){
return height(root);
}
private Node root;
public void insert(int value){
root = insert(value, root);
}
private int height(Node node){
if (node == null){
return -1;
}
return node.height;
}
private Node insert(int value, Node node){
if (node == null){
node = new Node(value);
return node;
}
if (value < node.value){
node.left = insert(value, node.left);
}
if (value > node.value){
node.right = insert(value, node.right);
}
node.height = Math.max(height(node.left), height(node.right)) + 1;
return rotate(node);
}
private Node rotate(Node node){
if (height(node.left) - height(node.right) > 1){
if (height(node.left.left) - height(node.left.right) > 0){
return rightRotate(node);
}
if (height(node.left.left) - height(node.left.right) < 0){
node.left = leftRotate(node.left);
return rightRotate(node);
}
}
if (height(node.left) - height(node.right) < -1){
if (height(node.right.left) - height(node.right.right) > 0){
node.right = rightRotate(node.right);
return leftRotate(node);
}
if (height(node.right.left) - height(node.right.right) < 0){
return leftRotate(node);
}
}
return node;
}
private Node rightRotate(Node p){
Node c = p.left;
Node t = c.right;
c.right = p;
p.left = t;
p.height = Math.max(height(p.left), height(p.right)) + 1;
c.height = Math.max(height(c.left), height(c.right)) + 1;
return c;
}
private Node leftRotate(Node p){
Node c = p.right;
Node t = c.left;
c.left = p;
p.right = t;
p.height = Math.max(height(p.left), height(p.right)) + 1;
c.height = Math.max(height(c.left), height(c.right)) + 1;
return c;
}
public boolean isBalanced(){
return isBalanced(root);
}
private boolean isBalanced(Node node){
if (node == null){
return true;
}
return Math.abs(height(node.left) - height(node.right))
check the value of log 1000 with base 10. @@Hamim-Talukdar
Only today I have started doing this course n was little worried because it wasn't complete but what a coincidence that you continued posting today itself . Thank you so much kunal sir for teaching in such an awesome way. You are such an amazing teacher n a fabulous person to look up to. ❤
What else do you need from this bootcamp bro. Just advance data structure is remaining. But the content which is provided till now is enough for you to crack some tough coding problems.
What you need more is just practicing more and more questions.
It would be complete soon you better start today!! 😅
Sir it wud take so long there r 20 videos 1 video in a month or 4 or who nowsk
@@shishiranjanthakur6495 Kunal promised greedy and DP, so we need that too
@@shishiranjanthakur6495every good company asks dp questions which this course doesn't have rn
Was Manifesting Yesterday Here we go!! Thanks Kunal for giving us your important time and content 😌!!
I didn't know what AVL was, but thanks to your incredible video, I now have a clear understanding of it. loved it!
Finally worthy content that deserves our attention
Thanks Kunal for being so committed to completing this playlist, I can only imagine how you'd be managing your full-time job alongside CZcams and all the other things you do. Thanks again and god bless you. Additionally, if you ever come to Cambridge and have some free time - would love to meet you!
Hey, the height of the tree shouldn't be 10 because log(1000) == 10, right? So, the output has to be 10. What do you think?
@@Hamim-Talukdar log(1000) = 3, check again.
Thank you so much Kunal updating this series ❤
Thanks for the next video in the series brother
Keep posting these videos and complete DSA asap please ❤
Kunal Kushwaha is new Superhero. Continue like this. Can not wait for your Dynamic Programming and P-NP lectures.
In the last question, the height of an AVL tree with n nodes is approximately log base2 (n) so the height should be around 10 not 3.
he made an mistake i guess in leftRotate and rightRotate when calculating the height of p and c.
Yes he made a mistake in calculating the heights after rotating it. the height I am getting is 9. Is it correct?
node.height = Math.max(height(node.left), height(node.right))+1;
and
private Node leftRotation(Node c){
Node p = c.right;
Node t = p.left;
//rotate
p.left = c;
c.right = t;
//update the heights
c.height = Math.max(height(c.left),height(c.right))+1;//first update c than p bez c comes to below now
p.height = Math.max(height(p.left), height(p.right))+1;
return p;
}
private Node rightRotation(Node p){
Node c = p.left;
Node t = c.right;
//rotate
c.right = p;
p.left = t;
//update the heights
p.height = Math.max(height(p.left), height(p.right))+1;//first update p than c bez p comes to below now
c.height = Math.max(height(c.left),height(c.right))+1;
return c;
}
check the sequence of the height of the p and c in left and right rotation
@@user-sg5xm2xm2u Yeah you are correct thanks for solution
Please Compete the DP and graph series completely ASAP. Your DSA Course is very useful and perfect of all DSA courses on youtube. Please do the course with more standard problems in the respective topic.
1st time I saw this video in recommendations, I cross checked for the upload timings 3 times🤣. Thank you kunal.
the best tutor ever in you tube.thanks for ur service.may god bless you with whatever u want , need
You are a master in DSA. After watching your videos only got motivated to attend FAANG interviews.
I don't know what happen when I watched Kunals tutorial. It's look like very simple to understand. Thanks again.
Great job Kunal.Learning DSA has become so easy watching your dsa bootcamp playlist!!! Waiting for the DP series :)
Finally I got a one who makes things easy..😄
Nice Kunal ....please dont stop now....Give us complete DSA n algorithms.
thankyou so much the examples and your way of breaking down the creation of avial tree by adding more elements was really so simplified and i was finally able to understand with the concept of pgc everywhere it was too confusing and the number of examples that you took cleared all my doubts
Best video on CZcams for AVL the way you generalized 4 cases with parent child and grandchildren node was very helpful.
You’re welcome
Hey, the height of the tree shouldn't be 10 because log(1000) == 10, right? So, the output has to be 10. What do you think?
Excellent teaching!! Genuinely intelligent!! Thank you so much, Kunal
I've searched the internet, and yet haven't found a better video explaining AVL
Maybe U don't know Abdul Bari.
Earlier I was thinking to buy paid course, but u saved me, u r right no where in world i can get such DSA content, and beautiful explanation keep up good work Kunal. I am always left astounded at the level of dedication and hard work you put in every situation. May you reach every height of success!
that such a perfect playlist pls complete it soon brother!!
It's getting more cooler day by day
After following all the lectures .This was an easy one. Not a single doubt. Thanks kunal.
I hope you are doing well Kunal, GOD bless you 🙏
Thank you so much for sharing your knowledge and precious time. You’re the best 👏👏👏
finally kunal is back with bang, please continue this series bro
FINALLY my man my motivator the legend is back 🎉🎉🎉🎉
Thank you kunal for such an amazing content, your DSA course is very easy and simple to understand even hard topics, your explanation is great.
love you bro for continuing the dsa series
Thanks a lot
Amazing video as always. thank you kunal please complete this playlist.
Seriously, when i was doing cp i tried a lot to learn this but i was not able to do it. I left cp and DSA one year ago and this video poped up so i thought let's give a try. And concepts are super clear i am wondering what was hard in this.😮 😮
Thanks a lot for sharing this Sir! despite your busy schedule :)
I was waiting for it.
I hope u upload next soon
Take a bow to this wonderful and intelligent guy.
Great explanation, and procedure of problem solving.
Very in-depth explanation nice , thank you. For high quality stuff 🙂
Awesome As Always and Thank You for giving your time
Such a great course but please can you deliver it in a consistent manner, you are a great teacher man, much appreciated for this course
yes will do
Please complete these sir
Thanks Kunal
I literally completed the trees vid one day ago ..
Super brother, you are awesome, you have a great patience and explaining things to us.
Thanks alot....❤❤
Finally❤❤❤ sir jaldi se kar do complete ploxx ❤
Cant wait for your DP series!!!
thanks ❤ for your lectures .. was waiting for this last one month
I'm super happy, Thank you for this
As usual, you rocked it kunal.
You are teaching stuffs which colleges struggles and fails to teach. Kudos
Great Explanation 👍👍
Hey Kunal, So nice of you to post this incredible content. Requesting you to please teach GRAPH and DP also.
Hey, the height of the tree shouldn't be 10 because log(1000) == 10, right? So, the output has to be 10. What do you think?
Hey Kunal you are giving great quality content which we may not get even in paid one thank very much for this
I have request pls complete this bootcamp ASAP as after 2 month placement process will start and I am following your course....pls pls🙏🙏🙏
Hey, the height of the tree shouldn't be 10 because log(1000) == 10, right? So, the output has to be 10. What do you think?
@@Hamim-Talukdar log(1000) == 3 check the log formula
@@devdutdivineHere the base of the log is 2. So log(1000) of base 2 is == 10
Thank you sooo much, please continue it sir!, I appreciate it greatly
thanks for continuing the course
Thankyou so much! I really needed it.
Kunal 😢 you are such an angel . Thank you so much
You teach like a PRO!
Thanks man for sharing such great video on AVL, As you said balancing trees is just a piece of cake at the end of the video is so true after watching this AVL video of yours.
.
Thanks Kunal for uploading it....
Thank you ❤ Bhiya, god of DSA thanks gain
Thanks bro for this amazing session ❤️......I was waiting for it
lovely video, enjoyed a lot and understood. Thanks ❤
finalllyyy here we goo for the next video
Hi Kunal, firstly i want to say that I cannot thank you enough for this series.
Secondly I have some questions:
1: Do you yourself revise these concepts before making videos, and is that one of the reason why these videos take so much time.
2: How many and what videos have you planned to upload next?
Hey, the height of the tree shouldn't be 10 because log(1000) == 10, right? So, the output has to be 10. What do you think?
@@Hamim-Talukdar😂
@@pratheeeeeesh4839 why you are laughing man. I already have figure out the answer. There was a single code mistake in the Kunal vi AVL tree implementation, that's why it was giving wrong answer. Actually the answer will be 9. If you fell I'm wrong then google it.
I had a doubt please correct me if I am wrong. AVL is self balancing *BINARY TREE* so if there are 1000 nodes shouldn't height should be [ Log 1000 base 2 = 9 ] than [ Log 1000 base 10 = 3 ]
yes, I did +1 inside bracket by mistake
I too got the same doubt
@@KunalKushwaha thank you for all your effort you are great, but we made another misatke in leftrotate() function we should update the height of c before the height of p to get the correct height
c.height = Math.max(height(c.left), height(c.right) )+1;
p.height = Math.max(height(p.left), height(p.right) )+1;
return p;
@@mohamedsaiidouertani3568 can you tell me reason why i should update c first then p
@@mohamedsaiidouertani3568 thanks .. that was the major error .. beacuse of this algo was giving the avl tree as unbalanced.
i am really enjoying your videos and I did to much with the help of content (it is top notch better then any paid courses ) only request is please make all other topics of DSA little fast be regular please....
Thanks Kunal for such a great Explanation.
I Just love the way you teach 😊Thank you so much for posting these videos
Hey, the height of the tree shouldn't be 10 because log(1000) == 10, right? So, the output has to be 10. What do you think?
You are awesome, wish you all the best
Life is good when Kunal posts java videos
Truly Amazing
Your channel and pepcoding are the best
Thank you kunal for these amazing videos.
great stuff!
DSA exam on Monday. You're the only help. Best ever java DSA playlist.
THANKYOU MAN !!✨
Hey, the height of the tree shouldn't be 10. So, the output has to be 10. What do you think?
# GOD Of DSA
Hi I am a 11yr exp java guy was searching for some free course on youtube for DSA came accross your course and i just feel love in it...all in one place that too with java...i must say you have done very awsome work...your name will be there on this earth as long as DSA will be asked in interviews...May God Vishnu Bless You :)
Hey, the height of the tree shouldn't be 10 because log(1000) == 10, right? So, the output has to be 10. What do you think?
Hey kunal I am learning dsa from this course is there any chance if a video on string may come, I mean a problem solving or something like that??.. I am struggling a little with soving questions of strings
thank you for the clear concepts!
Sunli bhai ne apni 🙏
Awesome!!
DAMN man, its was super easy understanding this concept.
one doubt/mistake. ( i believe you made this mistake in leftRotate )
when calculating height of the node 'p' (new parent) in left rotate , since 'c' (old parent) is going to beon left child of 'p' (new parent), we have to first modify the height of old parent 'c' before modifying the new parent 'p' .
well this was due to the variable names where noramlly parent shouldve been 'p' but we take 'c' to make it similar to the diagram
again, thanks for this amazing tutorial
nice lecture kunal !!!
Thank You so much! Amazing Explanation as always #DSAwithKunal
Course is really excellent .I have bought paid course also but this dsa course is far better then any course available in market .
But the only problem is that when it will be completed ? Could you please complete it ASAP .🙏
Thats a relief....
I thought he will never post again.
Loved it!
this is amazing!!! thank you so much!!!!!!!
Great video
Amazing Amazing explanation!!!!
Awesome kunal❤
Very nice kunal
Amazing video loved it
Kunal can do anything easily.. Kunal for president ❤
another masterpiece by kunal
Bharata kunal great content but i think you did the height update in the left and right rotate is wrong can you cross check it. i think the +1 will be outside of math max function
love your content
Hey kunal I know this is off topic but can you please make a video on how to craft a devops & cloud resume for freshers for worldwide opportunities
There is a small bug in 1:02:11 . The +1 should be outside of Math.max() function.
Great Explanation Sir. Enjoyed aLot. Thank you so much for this lovely content
hoping you post the videos faster than usual kunal.....your explanation is really awesome yaar.........