Quicksort: Partitioning an array

  Рет қаралды 581,302

KC Ang

KC Ang

Күн бұрын

This video shows how partitioning may be achieved, as part of the process of Quicksort. At the end of the partitioning process, the array is divided into two sub-arrays. One sub-array contains elements that are less than a chosen pivot, while the other contains elements that are more than the pivot. The partition function should return the position of the pivot.
Note:
While recording the video, I was focusing on moving the pivot to the (i+1)th position towards the end of the video, and in my hurry to finish the video, I had forgotten that a swap is sufficient. Agree (and this has been brought up many times in the past) that a swap at the last step is quicker and more efficient. However, it is not incorrect to shift - just inefficient. Actually, as mentioned right at the beginning, the objective here is to find the position of the pivot for the partition.

Пікірлер: 1 300
@whoopdeedoodude
@whoopdeedoodude 5 жыл бұрын
All the fancy power points and drawing tablets and still the best explanation is a homie with paper cups. Thank you, sir!
@diegod.8518
@diegod.8518 3 жыл бұрын
I think it's funny how you don't use anything fancy to explain this, and yet your explanation is still one of the best.
@mtophir
@mtophir 3 жыл бұрын
Thank you. Glad you liked it :)
@nadavsam
@nadavsam 2 жыл бұрын
Not sure.. have you seen the Hungarian dancers?
@hernancedillo6144
@hernancedillo6144 2 жыл бұрын
Thank you for the thorough explanation!!
@bipdopbop1878
@bipdopbop1878 2 жыл бұрын
Its called being a good teacher
@conea6891
@conea6891 3 жыл бұрын
This is the best video on Quicksort. However, at 4:05, we could just swap "Pivit" and the "i+1".
@crazguykwan8955
@crazguykwan8955 3 жыл бұрын
Yo I'm glad you said that. I was about to make a loop to shift them all (which would increase the time complexity). But your suggestion gives the same result (numbers to the right are larger than pivot) at a shorter time complexity
@srishtiavalakki751
@srishtiavalakki751 4 жыл бұрын
One of the most understanding videos i have seen so far about QuckSort. Thank you sir, extremely understanding
@mtophir
@mtophir 4 жыл бұрын
Glad you liked it
@zingg7203
@zingg7203 3 жыл бұрын
Understandable*
@justdanaus
@justdanaus 3 жыл бұрын
I watched your instruction twice, not because it's hard to understand but so enjoyable to watch. Thank you
@nkosinathindlovu3059
@nkosinathindlovu3059 3 жыл бұрын
Right!? I could not believe how simple he made it seem.
@namanaggarwal5417
@namanaggarwal5417 Жыл бұрын
not gonna lie, its the best video available for quicksort.
@mtophir
@mtophir Жыл бұрын
Oh wow, that's the best compliment! Thank you for watching.
@fodecissokho9918
@fodecissokho9918 2 жыл бұрын
Usually I don't comment on video but I have to make an exception for this one because EVERYTHING WAS JUST PERFECTLY EXPLAINED.... It changes from the videos where the guy takes more than 10mn to explain it in a way that will confuse more KEEP IT UPP 🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥🔥
@mtophir
@mtophir 2 жыл бұрын
Thank you for the compliment. Glad you like the video.
@21void5
@21void5 5 жыл бұрын
this explains a lot why "i" started at index -1. Thanks.
@shikha125
@shikha125 2 жыл бұрын
I've never seen such an amazing teaching method, thank you! This is gold
@mtophir
@mtophir 2 жыл бұрын
Thank you for the compliment!
@aaryaveerrajput8031
@aaryaveerrajput8031 3 жыл бұрын
This Legend is replying to comments even after 6 years.❤
@mtophir
@mtophir 3 жыл бұрын
I'm no "legend" - I'm just an ordinary academic at a university. Thanks for your message, though.
@angelamunyao7877
@angelamunyao7877 5 жыл бұрын
This is the best explanation i've come across!
@bogslut
@bogslut 6 жыл бұрын
This is the best explanation of quicksort I've seen on youtube and using simple paper cups of all things.
@sankalparora9374
@sankalparora9374 2 жыл бұрын
possibly best video on KZfaq to understand Quicksort. Everyone just dry runs the algorithm - without clearly showing what's being done and why. You won 'em all!
@mtophir
@mtophir 2 жыл бұрын
Thanks~ I'm glad it helped.
@mapmappampam8758
@mapmappampam8758 7 жыл бұрын
you are very good at explaining this complex algorithm! with your calmness it was very easy to follow you step by step. you are the only one that actually helped me to understand :) Great job! Thank you!
@washboy
@washboy 7 жыл бұрын
This should be the 'go to' video for quicksort explanation
@peterbalogh5622
@peterbalogh5622 2 жыл бұрын
This is a clear explanation, but I'd avoid shifting the array at 4:07 and just swap the 4 and the 8 (that is, the element at the pivot position with the element at i+1) since it's much less work and it will also result in guaranteeing what we need: everything to the left of i + 1 is smaller than the pivot, everything to the right of i+1 is greater than the pivot, and the pivot is at i.
@jimmyfl0
@jimmyfl0 2 жыл бұрын
I thought the same, was surprised when he moved all the cups lol. Great video though! Super clear
@mtophir
@mtophir 2 жыл бұрын
Thanks both. This point has been discussed at length in the past. You may wish to read the video description. Thanks for watching!
@adilbaig7022
@adilbaig7022 3 жыл бұрын
Only after watching this video did I understand that the `i` only increments when a swap happens, in effect keeping track of where the pivot should finally rest. The best explanation I've seen on quicksort partitioning!
@estefaniac8260
@estefaniac8260 4 жыл бұрын
Amazing explanation! Thank you, Thank you, Thank you :) Very clearly explained and the visual aids were amazingly helpful.
@mtophir
@mtophir 4 жыл бұрын
You're welcome. Glad the video is of use to you.
@fcsie
@fcsie 2 жыл бұрын
this is by far the best explanation of quicksort so far after pouring through countless videos.
@ChrisLeeX
@ChrisLeeX 7 жыл бұрын
Incredibly helpful. Textbooks and online articles handwaved over partitioning. Thank you for explaining this so well.
@zoriiginalx7544
@zoriiginalx7544 2 жыл бұрын
This is amazing! Great explanation. I could not understand quicksort until you masterfully and elegantly demonstrated how the algorithm works.
@mtophir
@mtophir 2 жыл бұрын
Thanks for the very kind words. Happy to help!
@Honest_Reply900
@Honest_Reply900 3 ай бұрын
One of the best explanations, you nailed it
@mtophir
@mtophir 3 ай бұрын
Thanks for the compliments!
@katrinejensrud537
@katrinejensrud537 4 жыл бұрын
this was the best explanation of Quicksort in youtube
@mtophir
@mtophir 4 жыл бұрын
Thank you. Glad you liked it.
@Mr.SuperMan
@Mr.SuperMan 8 жыл бұрын
The loveliest explanation of partitioning ever made. Hats off to you man!
@qaipak1
@qaipak1 7 жыл бұрын
Teacher took 40 mins. Book took 1 hour. This guy taught me in 10 mins.
@samuelvalentine7846
@samuelvalentine7846 Жыл бұрын
Please, can someone give all the humans, animals and plants as subscribers to this legend
@mtophir
@mtophir Жыл бұрын
Very flattered by your comment! Thanks for watching.
@prashantgupta808
@prashantgupta808 4 жыл бұрын
probably the best explanation of quick sort in so less time,one thing to say to understand this better you first go throuhh the video explain by mycodeschool channel and then watch this and you will see clearly how things are working here. Hats off you sir! Great job.....
@mtophir
@mtophir 4 жыл бұрын
Thanks for your kind words
@karimp59
@karimp59 2 жыл бұрын
Thank you prof KC Ang. After so many days of confusion I finally got clear explanation from your video. Thank you for virtually sharing your knowledges!!
@mtophir
@mtophir 2 жыл бұрын
Glad it was helpful!
@igorf243
@igorf243 2 жыл бұрын
It looks like this guy knows how to teach, awesome vid.
@mtophir
@mtophir 2 жыл бұрын
Thanks :) I try my best ...
@nightfox6738
@nightfox6738 Жыл бұрын
I find it really interesting how Quicksort as a sorting algorithm itself is intuitively quite simple but I've seen so many different methods for partitioning the array.
@chtr33
@chtr33 3 жыл бұрын
I've been searching like a hour for a clear explanation. Thank you! You are a life saver.
@sakumas1183
@sakumas1183 Жыл бұрын
thank you for this video!! i love how you used the cups, it's so much easier seeing this happen in real life instead of a digital diagram/images on screen.
@mtophir
@mtophir Жыл бұрын
Glad it was helpful!
@ibotah
@ibotah 3 жыл бұрын
This is most certainly the easiest video to understand about partition. I literally am mad it's this easy haha!! Thank you so much!!! I definitely did NOT study this the day before my test :P
@mtophir
@mtophir 3 жыл бұрын
Thank you. I'm glad you find it useful.
@rew23able
@rew23able 7 жыл бұрын
Best explanation ever. Very clear and crisp explanation and the representation helps to literally visualize the problem. Thank you !
@JaBoss397
@JaBoss397 3 жыл бұрын
thank you again, I have spent my day trying to learn quick sort and this video actually gave a clear understanding to a point I can implement code with no problem. Thank you !!!!
@mtophir
@mtophir 3 жыл бұрын
Thank you for watching this video and leaving a comment!
@-kindredeternalhunter9907
@-kindredeternalhunter9907 3 жыл бұрын
You are honestly good . Ur way is the best way to explain this, dunno why people keep explain this by code, all viewer want to know is the idea to do q sort ans you did it well
@mtophir
@mtophir 3 жыл бұрын
Glad you liked it. Thank you so much 😀
@hidroklorotiazid
@hidroklorotiazid 2 жыл бұрын
This is the most clear explanation I have ever seen of the algorithm. Thank you so much.
@mtophir
@mtophir 2 жыл бұрын
Glad it was helpful!
@JasonJason210
@JasonJason210 3 жыл бұрын
I wish our college lecture had explained it this clearly. College is where we go to get grades; KZfaq is where we come to learn. Thanks KC Ang.
@andrewkaram6733
@andrewkaram6733 3 жыл бұрын
I struggled fully grasping this concept of why this works, you explained it very well and made the click that when I look back I don't understand where my confusion came through. Thank you so much.
@mtophir
@mtophir 3 жыл бұрын
You're most welcome. Good to know that this video had helped you overcome your struggles.
@01binaryboy
@01binaryboy 2 жыл бұрын
I went though so many videos. This is where I have understood the logic behind this algorithm very well. Thank you so much Master.
@mtophir
@mtophir 2 жыл бұрын
Thanks for the positive comment!
@DataStructures
@DataStructures 2 жыл бұрын
Amazing, short, easy explanation
@mtophir
@mtophir 2 жыл бұрын
Happy to note you find the explanation easy to understand
@Bestcuriosity_1
@Bestcuriosity_1 2 жыл бұрын
This is the correct way every human being can get crystal clear understanding of hardest topic easily Respect to great teacher like you sir love & Respect from India
@mtophir
@mtophir 2 жыл бұрын
Thank you and glad that you found the video useful. :)
@spioboy1
@spioboy1 4 жыл бұрын
This is the best explanation of Partitioning on KZfaq. Thank you!
@mtophir
@mtophir 4 жыл бұрын
Thank you~ glad you liked it.
@billbez7465
@billbez7465 4 жыл бұрын
Agreed with previous person. The most clear description of Quicksort I've seen. Well done and thank you.
@mtophir
@mtophir 4 жыл бұрын
Thank you
@amrsaber5457
@amrsaber5457 8 жыл бұрын
at the last step you should swap not shift ... shifting means moving all the next objects and that would be with no purpose ... but swapping does the work simply with no extra efforts
@jogofwar99
@jogofwar99 8 жыл бұрын
+Amr Saber yup^
@jogofwar99
@jogofwar99 8 жыл бұрын
Very smart implementation Mr. Ang!
@eucliwoodhellscythe4324
@eucliwoodhellscythe4324 3 жыл бұрын
the best explanation of quick sort thank you
@mtophir
@mtophir 3 жыл бұрын
Glad you liked it!
@eucliwoodhellscythe4324
@eucliwoodhellscythe4324 3 жыл бұрын
@@mtophir wish me luck bro, im going to face interview in this week 🙏
@mtophir
@mtophir 3 жыл бұрын
@@eucliwoodhellscythe4324 Good luck! All the best!
@nebula1100
@nebula1100 2 жыл бұрын
This is single handedly the best visualization of quicksort I've ever seen. Thanks for this!
@mtophir
@mtophir 2 жыл бұрын
That's a very nice compliment. Thank you!
@BrandNewByxor
@BrandNewByxor 7 жыл бұрын
It's amazing how much better this tutorial is than the other ones out there. Especially from a non-native English speaker. I applaud you.
@Rliu1992
@Rliu1992 7 жыл бұрын
Great explanation! One thing to mention is, instead of shifting everything from i+1 to the right, you can just do a swap of A[i+1] and pivot, (4 and 8 in this case) which is probably more efficient.
@i2Chinese
@i2Chinese 7 жыл бұрын
At 4:06 (when the partitioning is finished) there was a shift in the array which is very expensive, for the purpose of the quicksort I believe it'd be a more beneficial if you instead swapped the pivot with (i + 1)
@JaBoss397
@JaBoss397 3 жыл бұрын
you make so much sense, the hardest part of quick sort is understanding the first passing of the partitioning function. Thank you
@mtophir
@mtophir 3 жыл бұрын
Hope the visualisation in this video has made "the hardest part" a bit easier to understand.
@sudheerkaneti203
@sudheerkaneti203 7 жыл бұрын
thank u sir....this is the most clear explanation than most of other explanations of quick sort in the youtube.
@AlexRyaguz
@AlexRyaguz 2 жыл бұрын
The best explanation of partitioning I have ever seen.
@mtophir
@mtophir 2 жыл бұрын
Glad you think so. Thanks!
@emeryli2331
@emeryli2331 3 жыл бұрын
he explains complex stuff in a very plain way. What an illustration!
@marcelcohen4844
@marcelcohen4844 6 жыл бұрын
I've been watching about 20 videos of quicksort, this is only one that explains the concept clearly
@kylefang8254
@kylefang8254 3 жыл бұрын
Thank you so much! This is the only explaination I can understand. No those fancy graphic animation and music, no confusing complex definition and pesudo code, just a straight forward visual explanation. After I watched this, the pesudo code suddenly makes sense now.
@mtophir
@mtophir 3 жыл бұрын
You're welcome and thank you for the kind words.
@Moch117
@Moch117 Жыл бұрын
Watched so many quicksort videos but this one is the best. Thank you good sir !
@mtophir
@mtophir Жыл бұрын
Glad you liked it!
@prashasthapaduri4425
@prashasthapaduri4425 2 жыл бұрын
Wow...the way you used the cups for explaning the concept is so creative
@memeingthroughenglish7221
@memeingthroughenglish7221 3 ай бұрын
clever way of sorting the array and demonstrating how the i and j move through the loop together and make the pivot! Thank you so much for your efforts!!
@courses-lectures
@courses-lectures 3 жыл бұрын
You are an amazing instructor ... its is considered the best tutorial in quick sort algorithm
@mtophir
@mtophir 3 жыл бұрын
Thank you for watching and for acknowledging the effort!
@mukul98s
@mukul98s Жыл бұрын
This is the best video on quick sort I have watched . Thanks man for making this amazing video.
@mtophir
@mtophir Жыл бұрын
Thank you. Glad you liked it!
@sonofage
@sonofage 3 жыл бұрын
OMG, your explanation makes a lot of sense compared to other videos i've seen, NOW I GET IT>>>>>>>>>>>>>>>> THANKS
@mtophir
@mtophir 3 жыл бұрын
You're welcome!
@pastafarian8410
@pastafarian8410 4 жыл бұрын
This is the best explanation of Quicksort I 've come across anywhere. Cheers
@indubitablewordsmith9138
@indubitablewordsmith9138 5 жыл бұрын
He explained in 5 minutes what other videos didn’t in 10-15 minutes. Best quicksort video I’ve seen
@mtophir
@mtophir 5 жыл бұрын
Thank you for your vote of confidence.
@giovannicarovanello62
@giovannicarovanello62 7 жыл бұрын
I finally understood QuickSort(A[],first,last). Thank you very much. You video was very illuminating!
@anujagulhane8543
@anujagulhane8543 2 жыл бұрын
The kind of teachers we students crave for!!....Thanks Sir
@bilalkhanthedreamer
@bilalkhanthedreamer 6 жыл бұрын
You're great sir. I was trying to understand quick sort from many days, but you made me understand the working of quick sort partition in less than 5 minutes. Thank you so much.
@user-tz7vl4no6o
@user-tz7vl4no6o 7 жыл бұрын
The video describes the basic unit of computation in the processing of quick sort algorithm. Very clear and beautiful!
@leahwilson5471
@leahwilson5471 7 жыл бұрын
Best video I've seen yet... keep up the good work!
@zoltanbiro6388
@zoltanbiro6388 2 жыл бұрын
Best explanation ever of quicksort
@mtophir
@mtophir 2 жыл бұрын
Thank you, and thanks for watching.
@MrChazmond
@MrChazmond 4 жыл бұрын
So simple and elegant, straight to the point. Much better than those overdone graphics you see in other channels.
@mtophir
@mtophir 4 жыл бұрын
Thank you for the kind words!
@kk-ol7nw
@kk-ol7nw 6 жыл бұрын
I surprised that so many people in KZfaq do not understand how the quicksort works even if they post the video about it. Except for him. great video.
@kevinvira
@kevinvira 7 жыл бұрын
Finally I know how QuickSort works. Thank you.
@akhilsanker2681
@akhilsanker2681 3 жыл бұрын
Just Awesome !!!! Crystal Clear !! Tried a few lectures! This is GOLD! 👍❤️
@excelsior759
@excelsior759 7 жыл бұрын
I believ i see your video everytime i need to refresh about quick sort. Thank you. I may have seen it more than 15 times !
@yolamontalvan9502
@yolamontalvan9502 Жыл бұрын
WOW, I MEAN WOW. This is the best explanation of the QuickSort I have seen. Not even AI help could have shown that. Thank you.
@mtophir
@mtophir Жыл бұрын
Wow, thanks!
@blackmamba9950
@blackmamba9950 Жыл бұрын
The best example I have seen on the internet. Thank you Sir
@mtophir
@mtophir Жыл бұрын
That's a great compliment! Thank you.
@crepkey
@crepkey 5 жыл бұрын
This is the first explanation that I understand immediately after I've watched it! Thank you so much! Greetings from Hungary :)
@ThePr0Br0
@ThePr0Br0 4 жыл бұрын
I'm crying, you have successfully beaten my top ranked uni professors. Perfect explanation
@sohamchoudhury6767
@sohamchoudhury6767 3 жыл бұрын
7 years on and still this is the best
@m16averick
@m16averick 4 жыл бұрын
Very clear explanation! Wish all of my proffessors had this impact
@mtophir
@mtophir 4 жыл бұрын
Thank you for your kind words
@n00byscrazycorner43
@n00byscrazycorner43 3 жыл бұрын
Great video, thank you so much. The book and examples made no sense, but this is a lot better than the examples online.
@stealthslayer90
@stealthslayer90 7 жыл бұрын
very clear! having i j and r and pivot on top of the cups really helped compared to other videos...
@user-mj1lu4cl1j
@user-mj1lu4cl1j Жыл бұрын
After going through so many contents and KZfaq videos I finally found someone explaining the Quicksort in a very clear manner. Brilliant job KC...!👌
@mtophir
@mtophir Жыл бұрын
Glad it helped!
@sulaymonolimov7798
@sulaymonolimov7798 Жыл бұрын
Amazing explanation!
@mtophir
@mtophir Жыл бұрын
Glad you think so!
@Jack_X075
@Jack_X075 8 жыл бұрын
Some more information for those coming here. This particular method, of taking the pivot as the last element, is known as the Lomuto Partition scheme. There are other partition schemes, that slightly alter the flow and complexity of the quick sort algorithm. Also, the process shown in the video has one problem, if the first element is less than the pivot the algorithm fails. This is easily solvable, just make the few changes below: 1. I and J in the beginning point to the same element. 2. If an element is less than pivot, I and J interchange, and then I is incremented, which if it happens in the first instance, means the first element is replaced by the first itself. No change. 3. J increments normally. And finally, just swap the elements of the pivot and the final value of I, no shifting. This saves time. Just swap 7 and 2 in the beginning, or add any number itself to the array, less than 4, and try it out.
@shivanshudwivedi9001
@shivanshudwivedi9001 4 жыл бұрын
He is probably the simplest man on internet! Thanks man! appreciate it.
@kentnixon1651
@kentnixon1651 4 жыл бұрын
Was having a lot of trouble understanding this algorithm until I stopped here and watched your video - now it totally makes sense! Thank you for taking the time to not only make the video, but to actually demonstrate the algorithm in physical form. It really helped me to learn much more concretely than any of the code snippets other tutorials were relying on.
@ayanbiswas6849
@ayanbiswas6849 3 жыл бұрын
This is the best video on Quicksort
@mtophir
@mtophir 3 жыл бұрын
Thank you. Glad you enjoyed it.
@Julian-tg3iq
@Julian-tg3iq 3 жыл бұрын
Thank you so much, my prof. didnt explain it as good as u did, i was really confused about the pivot before.
@mtophir
@mtophir 3 жыл бұрын
Glad it helped!
@GHB775
@GHB775 7 жыл бұрын
definitely the best explanation to be found on youtube. Thank you!
@dewittli7570
@dewittli7570 4 жыл бұрын
best explanation of the algorithm, cleared my confusion in minutes. thank you!!
@globnomulous
@globnomulous 3 жыл бұрын
Thanks for posting this. I found it enormously helpful.
@mtophir
@mtophir 3 жыл бұрын
You're most welcome!
@diegoromo4819
@diegoromo4819 Жыл бұрын
I have to admit there is a lot of great videos out there for data structure and sorting videos, but loved this one!
@mtophir
@mtophir Жыл бұрын
Thank you so much for the compliment!
@amadousallah6634
@amadousallah6634 7 жыл бұрын
Wow! What a great instructor. This is brilliant. Thank you so much for the amazing explanation.
@georgesmith9178
@georgesmith9178 4 жыл бұрын
The best part was that you actually pointed me to the fact the (i) pointer is initially at (low -1) and that it will not be out of bound because it will be incremented just before the first swap. Special thanks for that.
@jadenataylor
@jadenataylor Жыл бұрын
First video of 5 that actually made sense
@mtophir
@mtophir 3 ай бұрын
Thanks.
@SemicolonGuy
@SemicolonGuy 3 жыл бұрын
Best explanation ever.
@mtophir
@mtophir 3 жыл бұрын
Glad it was helpful!
@bvashisht9283
@bvashisht9283 3 жыл бұрын
WOW, I watched green animation video, and was giving up on quick sort, and then watched your video and its as clear as day.
@mtophir
@mtophir 3 жыл бұрын
Glad it helped!
@SaurabhKr
@SaurabhKr 7 жыл бұрын
One of the best simulations of the partition procedure, thanks for making this video :) I hope to see more of your video. Thanks
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