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

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

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Very true!!!!!!

[@justinjohnson7717]

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

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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

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Ure crct

[@shubhamchaudhari9475]

Correct

[@andrewsa7980]

Crt

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ZOV

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dumb ZUT students salute you mr. Bari

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You help me a lot thank you very much :D

[@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

[@MarkedMuichiro828]

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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!

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

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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)

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

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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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😂😂

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Haha😂😂

[@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!

[@monkeytrollhunter]

Thank you sir, I have final exam for my algorithms class next week. You're a great supplement for me when I try to understand the materials. Greetings from the U.S !

[@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.

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

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[@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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[@josepaul2725]

Correction A1 matrix (4,2) = 5

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[@majidmohammed5412]

@@thomasjaszczult1118 same here haha

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true

[@rahulghosh4805]

Right A1 is wrong

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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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7:27 bars btw this is the best video on Floyd's Algorithm on youtube. Thank you so much sir. I salute you.

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

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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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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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Thank you so much! Your videos are well titled and by far the best explanations on KZbin. PS: Love those long pauses where you look at the camera like a professor giving a student time to absorb it all.

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Thanks Abdul! See you at England v Holland.

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Hi there Gregory how are you

[@JonathanPeel]

I watched a few videos, this is the first one that made any sense. Thank you 👏 Because of your breakdown, and well done explanation this got a like and a subscribe.

[@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

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Hello from Canada! These videos are awesome and help me learn much better than my regular prof.

[@tanujgehlot2600]

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

[@nusratfans39]

he wasted my time for this mistake and even confused me

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

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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

[@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.

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

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Thankyou from NIT Warangal

[@malteiwa]

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

[@ashishdwivedi5190]

@13:55 isn't the time complexity again n^3 which we were trying to avoid initially??

[@techwithwhiteboard3483]

yes it is i think the constant term in this asymptotic n3 is lower than simply using djikstra several times

[@kritikhetan]

@@techwithwhiteboard3483 even my point is also the same...time complexity as of using dijkstra also n times .@abdul Bari sir plz solve this doubt..thanks for wonderful explanation

[@abdul_bari]

We were not trying to reduce time. We just saw a different approach

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@@abdul_bari thanks a lot sir..was stuck in this concept..ur vedios have cleared lot of my doubts in algorithm

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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.

[@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)..

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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

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[@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....

[@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

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There are multiples ways to Solve every problem.

[@dheerjain2884]

Dijkstra wont work for negative edges

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

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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.