4.2 All Pairs Shortest Path (Floyd-Warshall) - Dynamic Programming

[@riley_6913]

In less than 15 minutes you managed to clearly explain something my professor couldn't explain in an entire semester. Eventhough I'm late relative to when this video was uploaded, I still wanted to take this time to thank people like you, who provide an invaluable service to us all.

[@devbhavsar7799]

I think your syllabus is shit..my college does not teach me only warshall for 6 month

[@karanpuri1617]

you're a perfect example of how a CSE Teacher should be.

[@sundaramsaroj2087]

Very true!!!!!!

[@justinjohnson7717]

Correct 😀. This is my homework. I did my homework with the help of this video. 😁

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[@karanpuri1617]

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[@omsatpathy5455]

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[@mr.aravindreddy]

Sir At 6:39 I think for A^1[4,2] the value is 5 but not 8.

[@OneLordeAnimeClips]

You are correct.

[@MiEthioEntertainmentPLC]

@@OneLordeAnimeClips yep

[@MiEthioEntertainmentPLC]

Ure crct

[@shubhamchaudhari9475]

Correct

[@andrewsa7980]

Crt

[@ssshukla26]

I am just passing my algo exams because of you sir. Thank you so much...

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[@lucutes2936]

ZOV

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[@tausifahmad2007]

sir i think at 6:39 for A-1[4,2] there will be 5 not 8

[@bhavikabharti66]

Yes

[@umernasir4217]

Agreed.

[@coolboy98iscool]

agreed

[@abhipatel3512]

Yes

[@someonesoumya]

yess

[@akaari3820]

Didn't understand anything in a 90 minutes lecture, immediately understood the algorithm after just 4 minutes of this video. You're legendary

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[@Virtualexist]

You are so humble, explanations are simple. This shows the skill of an awesome teacher- explaining anything such that anyone can understand. 🙏

[@JoseSanchez-vv1zd]

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[@thefahad449]

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[@kamenpetkov192]

My Algorithms teacher was struggling big time with this one lol. And here, sir Abdul Bari explained it perfectly in 14 minutes. Great teacher!

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Very good logic, very clear explanation, very nice example, makes me understand the idea immediately after watching the first half of the video without having to check other information. You're one of the best lecturers I've ever seen!

[@Superalexandru2]

Thank you professor for this wonderful explanation! Your videos mean so much to students all over the world. Greetings from Politehnica University of Bucharest ! (Romania)

[@JohnCena12355]

Thank you so much! the instances of matrices is a unique way of teaching this and made me understand instantly! Much better than starting with the algorithm and following from there. Bravo!

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[@nickzervas4937]

When comparing the Floyd Warshall method with the Djiktra method , i think there are 3 important things you should have pointed out : 1) The Djiktra method can be achieved with less complexity , especially with sparse graphs . By using binary heap as a priority queue we achieve O(n*m*logn) and with a fibonacci heap we achieve O( (m+nlogn)*n). 2) The main advantage of this method compared to Djiktra is that it can be implemented in a graph even if we have edges of negative weights ( as long as there are no negatives circles ) . Djiktra is highly limited by that aspect . 3) The best algorithm for this method which benefits both from 1,2 is : Johnsons . It can be achieved in O( (m+nlogn)*n) even if we have negative weights ( no negative cycles )

[@aurobindamohapatra6781]

Absolutely

[@victorabhinav2652]

If there is a negative cycle ->one of the elements in the diagonal will be negative

[@abraramin3146]

thanks bro you cleared my confusion.i had this doubt that what is the benefit of using this algorithm if the time complexity is not improving....the sir told in the begining that we can use dijktras algorithm but we will get O(n3) time complexity and at the end calculated the time complexity of this algorithm as n3 . so it didn't make any sense.

[@Joqu1nn]

This could not have been a more concise and clear lesson. Thank you sir

[@samsmith1583]

Really appreciate your effort of such a patient explanation. This really helped me to understand the problem that I wouldn’t figured out maybe for hours merely by reading book.

[@EscapedConvict2007]

The best thing happened to me today was stumbling upon this channel. I was just not getting the Floyd-Warshall explanation from wikipedia. The explanation here is crystal clear.

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this type of lectures in India for us this is really heaven sir

[@monkeytrollhunter]

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you are saving my life.Thank you brother. Brother from different mother :)

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Wow! What a phenomenally straightforward explanation. Hats off to you, Abdul Bari sir!

[@ptreeful]

When I first read about this algorithm, I understood nothing. After your explanation everything is clear, I love you!

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Btech walon ke liye masiha ho aap.

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Sahi gall aa❤️❤️

[@harsha1786]

Very good sir .While my sir explaining I was confused with the formula and made it difficult but u made it simple now ,even I understand formula simply

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I shared a link of this video to my professor........and next day he thanked me.

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same with me

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I am at almost the end of this semester. Every time after our teacher's lecture, I come here to build the comprehensive concept :")

[@王冠信-o1c]

@@sohamshinde1258 From Taiwan, though

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Your explanations are the best. Every week I have to do exercises for the Algorithms and data structures lecture, your explanations help me so much. I really like how you showed the example first, then deduced the formula. It's a lot easier to understand this way. Greetings and big thank you from Germany.

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[@josepaul2725]

Correction A1 matrix (4,2) = 5

[@thomasjaszczult1118]

Thank you. I thought I was going crazy

[@majidmohammed5412]

@@thomasjaszczult1118 same here haha

[@onionindo]

same here 'hahaha

[@tana36735]

true

[@rahulghosh4805]

Right A1 is wrong

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Your teaching methodology approach explanation is 10/10. I wish I had a professor like you in college. I wouldn't have slept in classes.

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I wonder how this professors aren't the greatest programmers

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my main goal today was to understand this algorithm and it's crazy how you achieved to explain this in 15 min something that no uni teacher over here could do. crazy sir thank you

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I do A Level Decision Mathematics and we study algorithms. Some of this video was a bit too much out of our course, but it was still beautiful video, great to see the subjects link and it was a great explanation of the actual purpose and function of the algorithm. Used it for revision, thanks.

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Sir your amazing.....wish we had teacher like you in our college!

[@camilaperez7580]

Thank you so much. I understood more in the first 4-minutes of this video than in any of my network flow classes.

[@heyyou8771]

in video - at 8:36 AND 8:38 they changed the value of A'[4][2]=5 , don't get confuse...

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👍

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[@VikasSharma-cv1su]

excellent Explanation , In a single go i understood i didn't need to watch this video second time. Thanks Bari

[@kunalchoudhary7477]

correction A^1[4,2]=5.

[@eurus7509]

I was looking for this comment.I thought i made a mistake taking 5...ty

[@mitali7959]

@@eurus7509 same here

[@srinjoydas1314]

eggzacly , thanks

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Sir, thanks to your amazing lectures, I was able to clear my algorithms subject! I don't know what I'd have done otherwise. Keep up the great work!

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Thank you very much sir for such a clear and efficient explaination.. I'm Truely benefiting from it!

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you saved me from ruins...sir! Thanks so much...I was feeling totally down, having listened to my professor and unable to understand anything.

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Guru Brahma guru Vishnu guru deva Maheshwara ,guru shakshat param bhrahma tasmayeshri gurudev namah ,.pranam sir , algorithms guru ji 🙏🙏deep respects sir

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I wish i had someone like you in my college, all of us deserve a teacher like you, you're just phenomenal, thankyou sir for teaching us❤️✨

[@gregprice3097]

Thanks Abdul! See you at England v Holland.

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Hi there Gregory how are you

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you sir are the teacher we all hoped to get when we joined our colleges

[@shiwanggupta8608]

Dijkstra takes O(ElogV). So, if we calculate using Dijkstra it would be O(n^3*logn)

[@shiwanggupta8608]

For a dense graph E=O(V^2), So, worst case time complexity will be O(ElogV*V)=O(EVlogV)=O(n^3*logn)..

[@shreedharsharma6663]

Big fan of your teaching style sir... Very unique and diligent ❤️🙏🏻

[@siddharthmanumusic]

Thank you for the beautiful explanation. One observation: Isn't the time complexity of Dijkstra to find all pairs shortest path same as that of Floyd Warshall? I think the only advantage of FW is that it can also find it for negative weights plus it's easier to implement - no priority queue or extra space complexity.

[@RangaReddy-g3b]

Sir was best of the best professor in this classes explain the topics was clearly explained in this sir 😊😊❤❤

[@Geethanjalireddyy]

Sir, There is a mistake in finding A1 A1=0 3 α 7 8 0 2 15 5 8 0 1 2 5 α 0 Can u check it sir....

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Abdul bari uplaods videos so long without applying any additional ads. Great Man!

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tomorrow exam.. today binging your lectures ..understanding each and every concept which would go on top of my head in classes ..hope i do well tomorrow

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finally i understand this algo...thank you so much

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Usually I don’t like India teaching videos but this tutorial is very clearly presented

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Sir... U are amazing.. Actually my teacher is following what ur saying..

[@pranavkasera5584]

Thankyou from NIT Warangal

[@kamranmammadli5850]

Searched all of available explanations on youtube and found this one which is perfect. Normally, I stay away from indian accent videos. Thank you sir for very detailed video

[@saumyakraj1462]

I study at IIT Kharagpur and my professor didn't teach half as good as you in a 90 mins lecture!

[@silvasilkfern3752]

Thank you so much for making these videos! It's crazy how much better I understand Floyd-Warshall now

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Great experience sir. Plz upload more videos

[@epicmoffe]

Your videos are really good. Both your language and content are really clear, and that is something i can appreciate.

[@dushyantkaushik335]

A1[4,2] should be equal to 5 instead of 8

[@aadityapritam4709]

Ya i thought there should be 5 instead of 8.. But thats ok.. I understand the concept

[@Ankit-mq6em]

@@abdul_bari woooowww

[@malteiwa]

thank you very much, this was much better explained than from my own professor. Greetings from Berlin, Germany

[@adithyas6863]

Our teacher told this is the formula, just memorize it no other go ಠ︵ಠ

[@smriti.Mondal.1820]

sir I like you teaching approach. . thank you for giving us this type of easy video .. I covered my all topis of algorithm syllabus of third sem from your tutorial video . thank you sir thank you so much ..

[@tanujgehlot2600]

6:40,Correction A1 matrix (4,2) = 5

[@nusratfans39]

he wasted my time for this mistake and even confused me

[@_outcyrptolist]

@@nusratfans39 always check for comments when u face such issue

[@HARIHaran-ks7wp]

@@_outcyrptolist true dat

[@nishtha27]

Probably the best explanation of Floyd-Warshall algo, thank you!

[@lifeexplorer2965]

If Complexity is O(n^3) using DP also ,then we could have used Dijkstra's also then what is the benefit of using DP

[@yashtailor1543]

There are multiples ways to Solve every problem.

[@dheerjain2884]

Dijkstra wont work for negative edges

[@gokulkumarbhoomibalan5413]

Sir your teaching is crystal clear . Thank you sir for your service to the student community

[@sanjeebbaitha96]

till 8:31 there was a mistake 4,2=8 instead of 8.....but corrected nice video

[@vivekbkumbar]

Sanjeeb Baitha yeah i noticed also

[@sohambhattacharya2543]

Sir, your videos are extremely helpful. I was finding difficulty to understand the concept. But got to feel it crystal clear after learning it from you...You are great Sir!!