4.3 Matrix Chain Multiplication - Dynamic Programming

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Abdul Bari

Abdul Bari

6 жыл бұрын

Matrix Chain Multiplication
Dynamic Programming
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Пікірлер: 694
@Rei816kgu
@Rei816kgu 4 жыл бұрын
Mr. Bari must be tired from carrying me through my algorithms course
@DG-kv3qi
@DG-kv3qi Жыл бұрын
carrying us all lmao
@shivaramgoli6333
@shivaramgoli6333 Жыл бұрын
How can we select no of rows and columns for m. And s matrices
@xiping-pongfatherofchinese3551
@xiping-pongfatherofchinese3551 Жыл бұрын
Bsdk sir tujhe jaante v nhi honge!!
@ramagirisaiganesh3044
@ramagirisaiganesh3044 11 ай бұрын
@@shivaramgoli6333 number of matrices that u r multiplying Ex: A1,A2,A3,.....An then take n*n matrix of m and s
@Alchemace
@Alchemace 4 күн бұрын
@@shivaramgoli6333 On the basis of number of matrices attempt to multiply. here are 4*4 because A1 * A2 * A3 * A4.
@studyonline3236
@studyonline3236 5 жыл бұрын
Sir, you've saved my time by investing yours.
@ritik84629
@ritik84629 5 жыл бұрын
4:32 He used Catalan number to find possible number of binary trees with n nodes
@nigahrehem9094
@nigahrehem9094 4 жыл бұрын
Thanks
@ibadshakil4051
@ibadshakil4051 2 жыл бұрын
After that [1,3] Bari sir why u dont take value [1,4] if some one known that plz answer
@ibadshakil4051
@ibadshakil4051 2 жыл бұрын
After that [1,3] Bari sir why u dont take value [1,4] if some one known that plz answer
@amirshariatmadari9810
@amirshariatmadari9810 2 жыл бұрын
Mr. Bari, Thank you so much for providing free content that explains algorithms simply but also comprehensively.
@aadishjoshi2525
@aadishjoshi2525 6 жыл бұрын
The best video I've ever seen. Referring this video from the University of Texas,USA. Thank you for such a beautiful narration.
@Thandav0
@Thandav0 6 жыл бұрын
Thanks for the video bro
@kamransiddiqui4729
@kamransiddiqui4729 5 жыл бұрын
thandav63 bhai tu pagal hai kya??
@michap21
@michap21 3 жыл бұрын
Hook 'Em!
@vinayak186f3
@vinayak186f3 3 жыл бұрын
Kya bhai US ja kr bhi YT par padhai kar rhe ho 😶
@sanjayvasnani988
@sanjayvasnani988 2 жыл бұрын
@@vinayak186f3 University/Country changes but YT is constant!
@SachinMooZZ
@SachinMooZZ 6 жыл бұрын
I was freaking out about taking a quiz on this topic and feeling hopeless till I stumbled upon this guy's explanation. He instantly put me at ease. His voice is so calming.
@benji1570
@benji1570 3 жыл бұрын
Even though a Taiwanese like me could understand what he is teaching(with his accent), what a miracle
@sasa_lilac6295
@sasa_lilac6295 6 жыл бұрын
thank you sir... it helped alot.. its very easy understanding your explanation.. i have my algorithms exam tomorrow and your lectures saved me alot of time ... keep uploading more videos
@ubaidhunts
@ubaidhunts Жыл бұрын
s matrix not explained properly
@yt_akashupadhyay
@yt_akashupadhyay 5 жыл бұрын
For those who are wondering how S table is filled... Assume your answer come out to be : [ A1 A2 ] [ A3 ] so you've partitioned the whole multiplication at 2nd matrix, thus answer is 2 Assume another answer come out to be : [A1] [A2 A3 A4] so you've partitioned the whole multiplication at 1st matrix, thus answer is 1 Another example : [A1 A2 A3] [A4] so you've partitioned the whole multiplication at 3rd matrix, thus answer is 3. Give a thumbs up if u got this.
@kunalchouhan3829
@kunalchouhan3829 5 жыл бұрын
Impressive 👍
@Rock28099
@Rock28099 5 жыл бұрын
what about s[1,2] =1?
@yt_akashupadhyay
@yt_akashupadhyay 5 жыл бұрын
@@Rock28099 Yep..because you can multiply two matrix in only one way given they satisfy multiplication condition, not only s[1,2] = 1 but also s[2,3] = 2 and s[3,4] = 3. Watch the video from 3:10. I hope u'll understand.
@Rock28099
@Rock28099 5 жыл бұрын
@AkashUpadhyay u said the values in Matrix S represent the partition where matrix was divided...but in the case of M[2,3] its 2 and M[3,4] its 3...so how the partition was done In these two case? Thanks in advance
@aadityaojha1756
@aadityaojha1756 5 жыл бұрын
My God..you are next level Man...from where did you get that?? I wish I could meet you once and take your autograph...
@Pixelatory
@Pixelatory 4 жыл бұрын
Literally the best channel for learning things in my algorithms class
@manavssingh
@manavssingh 4 жыл бұрын
Sir, thank you very much.. despite the lack of explanation of the S matrix (which the comments section made up for), I am very satisfied with this (free) content you are providing helping us fellow students get through exams! You are doing social service here!
@jaatharsh
@jaatharsh 3 жыл бұрын
I was stumped on facing this question, but sir you're my saviour, cannot thank u enough for explaining such complex algo in elegant & simple way.
@jacopotoso6573
@jacopotoso6573 6 жыл бұрын
An example is worth a thousand words. Simple and clear video. thank you
@TridibSamanta
@TridibSamanta 5 жыл бұрын
Great ! You are a great Teacher. Thanks for saving my Design and analysis of Algorithm Paper. #Respect
@UmangMundhara
@UmangMundhara 6 жыл бұрын
i have gone through all your previous videos and your explanation and everything is really helpful, thanks a lot for making this series of videos , would like you to make videos on different topics , and once again thanks a lot :)
@kabichan1
@kabichan1 3 жыл бұрын
all professors across the nation should take notes from your teaching, and thank you so much
@bran_rx
@bran_rx 3 жыл бұрын
i like how he stares directly at the camera, feels personal lol... great video, helped me a lot
@prasannareddyisireddy8233
@prasannareddyisireddy8233 6 жыл бұрын
Thank you sir!! Clear explanation without unnecessary information!!
@manojmaurya9683
@manojmaurya9683 4 жыл бұрын
I searched a lot more videos for matrix chain multiplication using dynamic programming nobody able to explain or persuade such a way of clarity...thanks sir #i_m your big #fan
@jimmyp4584
@jimmyp4584 5 жыл бұрын
So thankful to you sir for explaining such complex topics so easily. Thank you very very much.
@adityakumar-kj3ch
@adityakumar-kj3ch 6 жыл бұрын
The best teacher I have come across till now...
@ethanbai5712
@ethanbai5712 5 жыл бұрын
Amazingly explained! Thank youso much!
@ediellopez1718
@ediellopez1718 5 жыл бұрын
Phenomenal explanation, sir! Thank you!
@RebeCcaHarOon
@RebeCcaHarOon 5 жыл бұрын
Thank you sir. I've learned a lot from your videos. Keep teaching us.
@ryanhull2472
@ryanhull2472 4 жыл бұрын
Awesome video!!! Really appreciate the great work you do. A little trick i found to do these problems is simply write out which parenthesization gave the best answer, then you can actually work backwards. ie) you find the best with 4 which is (A1 A2 A3) (A4) Then comebine that with what you get for the best with 3 parentheses (A1) (A2 A3) and add them around A2 A3 etc
@abdullahafzal4768
@abdullahafzal4768 Жыл бұрын
wonderful
@exapsy
@exapsy 6 жыл бұрын
I won't even bother watching the whole video to make this comment. Your video is awesome, very descriptive and clean. Really one of the best explanation if not the best. Thanks for the effort! (continuing the video)
@gouravjindal297
@gouravjindal297 4 жыл бұрын
Sir honestly you are the best teacher that I have ever learnt from. You make algorithm so easy subject to understand. Thanks sir
@igrai
@igrai 6 жыл бұрын
excellent, easy to grasp explanation - thank you!
@avonflex5031
@avonflex5031 5 жыл бұрын
for the formula we must write under min i
@supriyajha7823
@supriyajha7823 6 жыл бұрын
Great explanation! I finally completed one topic properly :)
@rajarshiparihar9932
@rajarshiparihar9932 6 жыл бұрын
One of the best tutor... thank you so much sir for such a good explanation.
@saurabhpal6210
@saurabhpal6210 6 жыл бұрын
Clearly and Best Explanation thank u for this video Sir.
@viplavkhode2742
@viplavkhode2742 4 жыл бұрын
For those who are still confused with the table S: It is filled with the min. value of K (K is introduced at 17:50 ). Example: for M[2,4] we have selected -> (A2*A3)*A4 which gives -> M[2,3]+M[4,4]+4*2*7 compare this with : -> M[i][j] = min { M[i,K]+ M[K+1,j] + .... } we get K=3 Put the minimum value of K into the table S Let me know, if you got this 👍👍👍👍
@viplavkhode2033
@viplavkhode2033 4 жыл бұрын
Thank you sooo much, you saved my life 🙌🙌🙌🙌🙌
@rushikeshchoudhary5433
@rushikeshchoudhary5433 4 жыл бұрын
Beautiful 💓❣️❣️💕❤️❤️
@khalilkhanmamakhel3951
@khalilkhanmamakhel3951 3 жыл бұрын
dear i am still confused ? are the value of k put in the s table ?
@viplavkhode2742
@viplavkhode2742 3 жыл бұрын
@@khalilkhanmamakhel3951only minimum value of K is added to table S
@khalilkhanmamakhel3951
@khalilkhanmamakhel3951 3 жыл бұрын
@@viplavkhode2742 tnx dear
@debdeeppaulchaudhuri9714
@debdeeppaulchaudhuri9714 6 жыл бұрын
Sir, please tell me how the combination formula came up or rather the logic behind it??
@nayaandmati2503
@nayaandmati2503 5 жыл бұрын
great explanation , got to say it is the best video about D.programing
@milicamisic4011
@milicamisic4011 2 жыл бұрын
awesome video, much better than my college lessons, thank a lot ❤
@VinhPham-hz8ny
@VinhPham-hz8ny 4 жыл бұрын
You are an awesome instructor sir. Thank you very much for your teaching.
@dharaneeswari-wi8ef
@dharaneeswari-wi8ef 2 ай бұрын
really thank you so much sir ...i understand very clearly...my mam follows your classes and then she is explaining in the class same as u told
@hardikvansia3293
@hardikvansia3293 5 жыл бұрын
We all appreciate your hardwork !! May be we all not get good teacher however the person like you are still on Earth who are putting effort to make good student Thanks for full fill our hunger knowledge. I hope you will always be blessed by God and may God full fill your all dreams. Once again thank you for your time and efforts.
@TheMrdiasmike
@TheMrdiasmike 6 жыл бұрын
great video, you really helped me with my algorithms class! much appreciation
@domenico2178
@domenico2178 6 жыл бұрын
Best video for this category. Thx from Italy University.
@raviraj8209
@raviraj8209 5 жыл бұрын
thanks alot .. before this video i was totally demoralized ,,almost gave up on topic . after this video.. i am happy now :D . easy and sophistacated.
@zerr0n7eet
@zerr0n7eet 6 жыл бұрын
You are a class teacher sir,just loved all your videos. The way you explain,makes everything look so easy ! Thank you sir :)
@arpansaha7369
@arpansaha7369 4 жыл бұрын
Sir, would you plz explain the method for filling up the "s" table as you are not using a constant rule here.
@krishnachaitanya2520
@krishnachaitanya2520 3 жыл бұрын
wow! How did I not find this earlier. Thank you so much!
@patchworky
@patchworky 2 жыл бұрын
This has been a godsend, thank you so much!
@surajsingh7943
@surajsingh7943 6 жыл бұрын
Thank you so much sir...it was really awesome explanation...keep it up...
@richasha670
@richasha670 3 жыл бұрын
Sir, you are awesome. Cause it's important, I`ll say it again. YOU ARE AWESOME.
@AbulAlArabi07
@AbulAlArabi07 2 жыл бұрын
Thanks a lot for such a video. Saved my tons of time. I wish my instructor was like you
@abhishekpatyal7480
@abhishekpatyal7480 4 жыл бұрын
Well explained abdul!! Just want to correct. T(3) != 5 at 4:40. Number of ways to insert n pairs of parentheses in a word of n+1 letters, e.g., for n=2 there are 2 ways: ((ab)c) or (a(bc)). So, to get number of distinct ways with which we can perform matrix chain multiplication, we have to find T(n+1)
@aoyukialquen2835
@aoyukialquen2835 6 ай бұрын
hii im confused on T(n) = 2n Cn / n+1. What is Cn? What does it do? Thank you
@coolone5561
@coolone5561 Ай бұрын
@@aoyukialquen2835 It's math. Check Permutations and Combinations topic. C for combinations. If you have 4 letters and want to find how many combinations of these letters can be formed with size 2, then the answer is 4C2 = 4!(4-2)!/2! = 4!2!/2! = 4! = 24. But the formula 2nCn/n+1 is taken from a topic "Catalan Number". Hope it helps!
@softwareengineer8923
@softwareengineer8923 Жыл бұрын
Such an amazing and lucid video as usual!
@waseemakhtar7541
@waseemakhtar7541 6 жыл бұрын
Sir I don't see ur dbms videos online yet!!.... Because of u and Dr GaryBoetticher i learnt dbms concepts..Please upload relational algebra/ tuple calculus topic ...Thanks
@kuravje484
@kuravje484 Жыл бұрын
This man literally carries all the computer science students in the world on his back
@ashraf645615
@ashraf645615 6 жыл бұрын
Apka tahedil se bahut bahut shukriya Kal ke paper (rtu exam) k liye jitni bhi padhai Kari sab apke video se Kari... thanks a lot
@ashraf645615
@ashraf645615 6 жыл бұрын
Abdul Bari bahut hi acha explain krte h sir aap, saare concept ache se clear karwae, thanks once again I'll definitely score good in my exam, hum jese students ki dua hamesha apke saath h 😊
@sourabhkhandelwal1568
@sourabhkhandelwal1568 6 жыл бұрын
I am also from RTU, 6th Sem CSE. How was your DAA paper?
@ashraf645615
@ashraf645615 6 жыл бұрын
sourabh khandelwal good, what about you?
@sourabhkhandelwal1568
@sourabhkhandelwal1568 6 жыл бұрын
Ashraf Mansuri Good paper was easy ,☺
@ashraf645615
@ashraf645615 6 жыл бұрын
sourabh khandelwal for me all credit goes to Abdul Bari sir... I prepared in very less time with these videos.. as you know 1 or 2 day before the exam.. 🙂
@FootyPick
@FootyPick 6 жыл бұрын
To all Those who are not understanding he (sir) is filling the table watch at 17:10 min you will probably understand explanation he is filling second table with matrix dimension which gives minimal value thats's it :)
@udbharat_official
@udbharat_official 5 жыл бұрын
then for m[2,4] entry should be 2 in S table . . but how its 3 ? .... pl explain. TIA
@udbharat_official
@udbharat_official 5 жыл бұрын
Pl check the next video . . I found the answer there
@mrAmal45
@mrAmal45 6 жыл бұрын
watch in 1.5x. It is perfect
@nikhilbalwani2285
@nikhilbalwani2285 5 жыл бұрын
Don't try and rush. 1x has always been the best.
@praharshbhatt2934
@praharshbhatt2934 5 жыл бұрын
2x is still slow for me
@prudvi01
@prudvi01 5 жыл бұрын
Exactly been watching his videos at 2x all the time
@avokadotropical3362
@avokadotropical3362 5 жыл бұрын
@@nikhilbalwani2285 well if you've got an exam in less than 24 hours you know you gotta rush
@nikhilbalwani2285
@nikhilbalwani2285 5 жыл бұрын
@@avokadotropical3362 Then you've got to start preparing earlier than this. When you watch things 1.5x, 2x, all of it boils down to just procedure, and you lose the essence of teaching.
@wrestling_hd_core6618
@wrestling_hd_core6618 3 жыл бұрын
Sir u r my savior, I love the way u explain its soooo simple and informative
@Picklerick8859
@Picklerick8859 Жыл бұрын
Every time I was stuck at some problem I would watch your videos :D
@sierr1302
@sierr1302 Жыл бұрын
My prof is insufferable and I can't learn anything from him but Chaddul taught me this in 20 minutes. Not all heroes wear capes. ❤
@everythingsucks709
@everythingsucks709 4 жыл бұрын
this guy is simply AMAZING !
@aritchat
@aritchat 4 жыл бұрын
Thank you sir for this wonderful explanation.
@maheshvangala8472
@maheshvangala8472 5 жыл бұрын
Awesome explaination Thank you sir
@emgm6207
@emgm6207 2 жыл бұрын
Thank you sir! You helped me a lot understanding analysis of algorithm!
@ishytas6654
@ishytas6654 5 жыл бұрын
Thank you so much... Amazing video... Very helpful !!
@aparnamukherjee2312
@aparnamukherjee2312 5 жыл бұрын
Thank you sir... It helped me a lot😊
@anoygolui1057
@anoygolui1057 3 жыл бұрын
sir u r legend .... i was't able to understood the topic untill i watch ur video ....... u r mindblowing sir .......thank you sir.
@anishpaudel29
@anishpaudel29 5 жыл бұрын
For those who are wondering how S-table is filled: It's more like the value of K we choosing for the minimum value in M-table.
@hobihobi1563
@hobihobi1563 5 жыл бұрын
you teach better than every single one of my uni professors
@priyankamanna4550
@priyankamanna4550 3 жыл бұрын
Sir teaching method is great please make more videos on programming concepts 🙏
@sheikhaman6218
@sheikhaman6218 3 жыл бұрын
My eager to learn and this KZfaq algorithms brought us together
@pratikgupta534
@pratikgupta534 5 жыл бұрын
You forgot to explain how you're filling the S matrix.
@RamkrishanYT
@RamkrishanYT 5 жыл бұрын
Yes. It will be the value of the minimum term's 'k'
@jdurefaccini
@jdurefaccini 5 жыл бұрын
At the end of the video he explains how do you read the S matrix and there you really understand how he filled it.
@tamzidmahmud6129
@tamzidmahmud6129 4 жыл бұрын
This video refers to the logical explanation of the above one kzfaq.info/get/bejne/lb2eltiZuLC-qXU.html .There you will get the logic behind filling the S matrix
@sudhaganesh6419
@sudhaganesh6419 4 жыл бұрын
Thank you sir. This was very helpful :)
@ramneeksehgal1760
@ramneeksehgal1760 5 жыл бұрын
Nice..Before watching this video....DP is rocket science for me...But now its been bit easier... Thnx...I recommended this to all my frnds.
@MagedT
@MagedT Жыл бұрын
Sir, Your are the best to visualize DSA, Thank you very much.
@anayaanson8095
@anayaanson8095 4 жыл бұрын
Really a good explanation... Really helped me... Thanks 4 this good explanation video... 😊
@william0377
@william0377 5 жыл бұрын
way better than my professor's teaching, thank you
@SARCASMOOO
@SARCASMOOO 5 жыл бұрын
I see a lot of people asking about the s matrix. I may be wrong as I am learning this rn to but I'll see if I can explain this. The fourth step in dynamic programming is to develop an optimal solution. So we need the s matrix to give us information on where we will put the parentheses when displaying our solution. This pseudo code is from the Introduction to algorithms textbook on this problem print0ptimal-parens(s, i, j) if i == j print "A"i else print "(" print0ptimal-parens(s, i, s[i, j]) print0ptimal-parens(s, i[i, j] + 1, j) print ")" So essentially the optimal solution is broken down into subproblems which are solved optimally. Once we solve the subproblem optimally, the k value which is where we put the parenthesize will be stored in the s matrix. Lastly, on step 4 of dynamic programming, we recursively go through the s array printing out where the optimal brackets go giving our solution. Just for reference the four steps of dynamic programming are 1. Characterize the structure of an optimal solution. 2. Recursively define the value of an optimal solution. 3. Compute the value of an optimal solution. 4. Construct an optimal solution from computed information.
@karimamoumene8509
@karimamoumene8509 2 жыл бұрын
that was absolutely helpful. Thank you!
@user-pc1ei4kv8q
@user-pc1ei4kv8q 6 жыл бұрын
very good! I was confused when reading this topic in an algorithms book. it helps me a lot! Thank!
@md.shahinbashar7239
@md.shahinbashar7239 5 жыл бұрын
Awesome... it's very helpful.. love u sir
@jenishmonpara
@jenishmonpara 4 жыл бұрын
Best found Matrix Chain Multiplication explanation 👏🏻
@ViamalaN1
@ViamalaN1 4 жыл бұрын
Great explanation and visualization!
@user-wu9qr5bg1n
@user-wu9qr5bg1n 7 ай бұрын
Thank you sir, this is the best algorithm lesson that I have learned.
@UNnamed66
@UNnamed66 6 жыл бұрын
Thank you from a student at Cal Poly
@abdulmn
@abdulmn 3 жыл бұрын
Assalamualiakum Sir, Your Videos have helped me get through my exams.
@shreyashankar7955
@shreyashankar7955 2 жыл бұрын
Thank you sir your videos helped me understand the concept.
@ozgurbaskn7559
@ozgurbaskn7559 5 жыл бұрын
Very informative. Thank you so much
@maryambabar184
@maryambabar184 5 жыл бұрын
very well explained sir!!thankyou
@danishiqbal9826
@danishiqbal9826 6 жыл бұрын
Respect respect.. Sir u saved me and i took victory from judgment day (exam) :) : p
@m.younaschaudhary9363
@m.younaschaudhary9363 Жыл бұрын
bundle of thanks, I wish Virtual University select instructer like you for Fundamental of algorithem course
@herbertkip
@herbertkip 5 жыл бұрын
Thank you. You are a savior!
@user-hj1yb2su5h
@user-hj1yb2su5h 4 жыл бұрын
Thank you! you helped me a lot!
@srinidhichandrasekhar
@srinidhichandrasekhar 4 жыл бұрын
Can anyone explain me how did we get values of 2(2,3) and 3(3,3) in s table at 11:42.
@vathsavaidhruthi1260
@vathsavaidhruthi1260 29 күн бұрын
if you are wondering abt s table .those are the values of k used to get minimum
@Ashishhd7
@Ashishhd7 4 жыл бұрын
Sir , Your way of teaching is very nice .
@roshankharke3725
@roshankharke3725 6 жыл бұрын
Great Video. Make videos on Advanced Data Structures
@harsherharsh
@harsherharsh 6 жыл бұрын
Didn't understand, how did you put the final pranthesis?
@harsherharsh
@harsherharsh 6 жыл бұрын
had my DAA exams today, watched your complete playlist, it really helped! Thanks.
@niharkanwar01
@niharkanwar01 5 жыл бұрын
Really nice explanation of concept..👍
@venky3867
@venky3867 5 жыл бұрын
Sir you're God Thanks for explanation
@harmeepatel
@harmeepatel 6 жыл бұрын
Awsm tutorial!
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