Big-O notation in 5 minutes

  Рет қаралды 1,205,439

Michael Sambol

Michael Sambol

Күн бұрын

Пікірлер: 665
@bobjohnson6946
@bobjohnson6946 4 жыл бұрын
No annoying loud music intros, no 6 min introduction, spoken clearly, and straight to the point. I wish all educational videos were like this.
@swayx3657
@swayx3657 2 жыл бұрын
no indian accent
@stuiedaman
@stuiedaman 2 жыл бұрын
@@swayx3657 some of the best instructional videos I have found have been from someone with an Indian or otherwise hard to understand accent. This has made me better at understanding foreign accents, and thus, I get to enjoy more videos.
@raghnallm4004
@raghnallm4004 2 жыл бұрын
And no stupid analogies
@Gupatik
@Gupatik 2 жыл бұрын
@@stuiedaman same here, I'm now professional at understanding foreign accents, even tho Chinese and greek are still so hard to get your ears used to.
@predictionfraud9927
@predictionfraud9927 7 ай бұрын
I love overwatch
@supernerd10000000000
@supernerd10000000000 7 жыл бұрын
I pay about 12k a year for education at San Jose State University. It's sad that I learn more from watching your videos for free than I do at a 4 year college. Thanks for your help, your videos are awesome!
@AnonymousDeveloper1
@AnonymousDeveloper1 7 жыл бұрын
Modern teachers should learn like this dude. Simple, short and easy to understand.
@passaroquetemasanaovoa
@passaroquetemasanaovoa 7 жыл бұрын
I think it's the same all over the world. Here in Brazil it's the same, I learn more on YT but we need the f****n diploma...
@해장국먹고즐거운파티
@해장국먹고즐거운파티 7 жыл бұрын
really agree with this opinion
@FunnyHacks
@FunnyHacks 7 жыл бұрын
Something I didn't really understand enough while I was studying is that an education is very little to do with what you learn, and more about learning how to learn and interact with people, and certifying that you can learn. A large portion of the stuff you learn will be obsolete within a few years, while learning how to learn and work with other people will serve you for life. Not to undermine the compliment to the poster though, this video, and probably the channel are indeed useful :)
@ganstabreakincity
@ganstabreakincity 7 жыл бұрын
Same from Spain
@DanT-iu6oc
@DanT-iu6oc 5 жыл бұрын
HOW DID THIS GUY EXPLAIN IN 5 MINS WHAT CONFUSED MY ENTIRE CLASS FOR 2 HOURS? WHAT THE HELL?!!
@user-rf4vc7mt4d
@user-rf4vc7mt4d 4 жыл бұрын
lmao right?
@BlueMrDragoN
@BlueMrDragoN 3 жыл бұрын
2 hours? For me its been 10 weeks and it all makes sense now lmao
@light1673
@light1673 3 ай бұрын
What is algorithm efficiency? kzbin.info/www/bejne/o32WqZVud9R2qpYsi=43RIy36zdpXRxJCd
@DaRealTim
@DaRealTim 4 жыл бұрын
i could cry. the importance of educating someone is to keep it simple. my prof wrapped this simple explanation in a 217 pages script. Greetings from germany I owe you one
@hunterblake8507
@hunterblake8507 6 жыл бұрын
Explained better in 5 min than in the 3 lectures my professor taught on it
@genericwhitemale7028
@genericwhitemale7028 5 жыл бұрын
He's gotta expand the class long enough so he won't awkwardly stay silent for 100 minutes.
@reyarnoco5657
@reyarnoco5657 5 жыл бұрын
@@genericwhitemale7028 This is true. We need to explain it repeatedly and with hundred of examples because we don't want to awkwardly stay silent for 3 hours :)
@siaprasad8400
@siaprasad8400 4 жыл бұрын
Efficiency
@rauleduardocruzperez7270
@rauleduardocruzperez7270 4 жыл бұрын
hahahahah I thought the same. I was searching articles and videos about this, and this video is perfect. Although it's just an introduction.
@ShubhamSingh-zt6zb
@ShubhamSingh-zt6zb 3 жыл бұрын
😂
@latedeveloper7836
@latedeveloper7836 2 жыл бұрын
0:40 nice overview 0:50 Big-O usually thinks about worst-case 1:00 Rule 1 - ignore constants 1:15 Rules 2 - certain terms 'dominate' others 1:40 Big-O cheat sheet chart 2:00 Example 1 2:45 Example 2 - for loop 2:58 Example 3 3:30 Quadratic time 3:40 Example 4 - total run time 4:10 Example 5 - if-else statement 4:43 Summary - in practice
@pranavnyavanandi9710
@pranavnyavanandi9710 2 жыл бұрын
It's incorrect to say that Big O usually thinks about the worst case. He did use the word "usually" but did not clear it up. Asymptotic notations are a mathematical concept to generalize the way a function is expressed by writing it in terms of a more general function, doing this makes it easy to compare different functions. Big O is one way to do that. It is used to denote an upper bound to a given function. So it doesn't really have anything to do with the worst case or best case of an algorithm's performance.
@magma590gaming
@magma590gaming Жыл бұрын
@@pranavnyavanandi9710 Actually it's not exactly that considering we disregard the multiplicative constants wheras in maths we don't
@koshka02
@koshka02 Жыл бұрын
You did a better job explaining in 5 minutes than my professor did in 4 hours of lecture. Well done.
@Talents.z
@Talents.z 4 жыл бұрын
It's always hilarious when you spend hours trying to understand something through lecture slides and can't understand it at all, then a 5 minute video explains it better than the professors ever did.
@Preeti..7886
@Preeti..7886 4 жыл бұрын
Yes
@jdkingsley6543
@jdkingsley6543 3 жыл бұрын
literally break out laughing, old educators are the problem.
@aroncasiano1796
@aroncasiano1796 3 жыл бұрын
my data structures and algorithms book literally rambles off on none important information and over complicates this proccess lol
@oworandom
@oworandom 3 жыл бұрын
@@jdkingsley6543 more on the system part though i would say, Eduction system from like 200 urs ago when industrial revolution is starting to take place just arent suited for modern society
@AdventrueTV
@AdventrueTV 2 жыл бұрын
its because they gotta gatekeep the knowledge broseph
@ZenithF0RTE
@ZenithF0RTE 6 ай бұрын
I've watched a dozen videos on complexity theory, P vs NP and Big-O notation and you are THE FIRST to give examples with a breakdown. Bravo good sir. I doff my cap to you.
@hv_here
@hv_here 3 ай бұрын
After not understanding this topic at my university, I asked the copilot and it referred me to this video. You are a good man Michael. God bless you! You have made it so simple.
@MichaelSambol
@MichaelSambol 3 ай бұрын
wow that's pretty dang cool. thanks for sharing 💪🏼
@333_studios
@333_studios 6 жыл бұрын
I need to do a big-O analysis on my life habits priorities.
@_productivity__nill_1131
@_productivity__nill_1131 6 жыл бұрын
Me too
@lexicon1580
@lexicon1580 6 жыл бұрын
Every computer science professor I've ever had didn't explain this concept as simply and concisely as you just did. Thank you.
@DerLucht
@DerLucht Ай бұрын
Thank you, this was really helpful. You cut straight to the case and explained everything like a pro. Pure joy to watch.
@TheDarkestPaladin
@TheDarkestPaladin Жыл бұрын
I don't know who you are, never heard of you before. What I know for sure is that you're a legend and a hero to all students out there
@MichaelSambol
@MichaelSambol Жыл бұрын
God bless
@emmyleke7049
@emmyleke7049 5 ай бұрын
After 1 hour videos, I cannot believe how much this helped me finally understand this topic. I'm in awe.
@MichaelSambol
@MichaelSambol 5 ай бұрын
love to hear it!
@shauryajindal21
@shauryajindal21 Жыл бұрын
THIS WAS PERFECT. I was self-studying from a textbook and was wayyyy to confused, so I did a quick search on youtube and found this video. Easy. Simple. Concise. You covered everything so perfectly and actually helped me understand the topic. THANK YOU SO MUCH. Please continue making videos like this!!!
@zaiyuanlu8751
@zaiyuanlu8751 4 жыл бұрын
Instead of the big long videos, you made this concept clear and easy to understand, all KZbin videos should be like this. I don't know why professors always tends to go very deep very early. Which is absolute not needed for beginner students
@vladimirkirichenko1972
@vladimirkirichenko1972 7 ай бұрын
Couldn't agree more with: No annoying loud music intros, no 6 min introduction, spoken clearly, and straight to the point. I wish all educational videos were like this.
@MichaelSambol
@MichaelSambol 7 ай бұрын
Thank you, Vladimir!
@aaronbaker8606
@aaronbaker8606 3 жыл бұрын
I think this is one of the best videos I have seen. I hate how most videos won't just bother to show with an actual function or dummy code.
@MsKostas7
@MsKostas7 5 жыл бұрын
If your deegree has anything to do with algorithms i bet you will watch all the videos in his channel. Great work man. Thank you so much. Explanatory and time efficient. Well done!
@troybolo
@troybolo Жыл бұрын
Helped me understand a topic i've been struggling with for ages in a clear and simple way. lifesaver!
@MichaelSambol
@MichaelSambol Жыл бұрын
Great to hear!
@dreamer-en7ir
@dreamer-en7ir Жыл бұрын
Slow, loud and clear voice...bro you just saved my exam...thanks
@jeremylu0327
@jeremylu0327 2 ай бұрын
This helped me so much in my IB exam prep thanks a lot!
@doglife2447
@doglife2447 Жыл бұрын
Thank you so much for the explanation! I've been searching all day to find a good video until I'd found yours. Again great explanation, and I love how you got straight to the point.
@light1673
@light1673 3 ай бұрын
What is algorithm efficiency? kzbin.info/www/bejne/o32WqZVud9R2qpYsi=43RIy36zdpXRxJCd
@Patiencelad
@Patiencelad 3 жыл бұрын
Finally, someone who explains it clearly, without all the mumbo jumbo. Thank you!
@light1673
@light1673 3 ай бұрын
What is algorithm efficiency? kzbin.info/www/bejne/o32WqZVud9R2qpYsi=43RIy36zdpXRxJCd
@valentino8625
@valentino8625 2 жыл бұрын
one of the Simple and Perfect explanation about Big-O notation I have ever heard.
@nehalzahra5763
@nehalzahra5763 5 жыл бұрын
You're amazing bro , i have learnt a lot from your five minute video than 36 minutes tutorials.
@aguelejoseph5753
@aguelejoseph5753 7 ай бұрын
After reading many tutorials on this subject, this is by far the best explanation i have found. Thank you. You just got an additional subscriber
@MichaelSambol
@MichaelSambol 7 ай бұрын
Thank you!
@hadesnj2770
@hadesnj2770 8 ай бұрын
Finally an actually good video which fr explained smth without useless intros and random bs
@vamsir2000
@vamsir2000 Жыл бұрын
This is so far the best video that I cam across about Big O. Thank you Michael
@loispeter2270
@loispeter2270 Жыл бұрын
Your explenation is so much better than the explenation from my teachers. Thank you so much!
@whiteline4157
@whiteline4157 3 жыл бұрын
I read multiple articles about this topic but you are the only one that I can understand. Thanks for the video.
@AKGamersLite
@AKGamersLite 3 жыл бұрын
My algorithms professors spent 1 hour explaining Big-O in the most complicated way possible, and here I learnt about it in just 5 minutes and I actually understood this video way better. Thank you! I wish CS professors would stop this formal complex way of teaching, and try make it simple and easy to learn like this video has done
@cryscoxx
@cryscoxx Жыл бұрын
Thanks! After a few rewatch and playback, gave me more understanding on what's going on rather than staring at my slides! Kudos to you!
@Cos_Wayne
@Cos_Wayne Жыл бұрын
This is one of the best tutorials I have ever seen, thank you.
@KleinMelanieF
@KleinMelanieF 24 күн бұрын
Soooo clear! love it. Much better than our seminar
@deeabee96
@deeabee96 6 жыл бұрын
Learned more from this 5 minute vid than several hours in discrete structures class...
@morello6061
@morello6061 4 жыл бұрын
All the down votes are from jealous CS professors.
@hugh-martinrouxhughy7419
@hugh-martinrouxhughy7419 4 жыл бұрын
No jokes, this man did in 5 minutes what my lecture couldn't do in an entire semester XD
@BruceRicard
@BruceRicard 6 ай бұрын
All the down votes are from people who actually know what big-O is.
@morello6061
@morello6061 6 ай бұрын
@@BruceRicard Found one!
@sito8943
@sito8943 3 жыл бұрын
If I have watched these videos three years ago, I would had a better calification at school, thanks a lot
@morello6061
@morello6061 4 жыл бұрын
I was skeptical because this was a 5 minute video, but it explained the concept so well in such a short time. Thank you so much.
@light1673
@light1673 3 ай бұрын
What is algorithm efficiency? kzbin.info/www/bejne/o32WqZVud9R2qpYsi=43RIy36zdpXRxJCd
@TSAMikeyo89
@TSAMikeyo89 3 жыл бұрын
My professor did such a heinous job teaching this subject for my Data Structures course, and yet you taught me what I needed to know in five minutes... Thank you sir.
@light1673
@light1673 3 ай бұрын
What is algorithm efficiency? kzbin.info/www/bejne/o32WqZVud9R2qpYsi=43RIy36zdpXRxJCd
@devendratapdia11
@devendratapdia11 5 жыл бұрын
Simplified so much that even 8th std kid will understand. Great job.
@chandrashekarr1977
@chandrashekarr1977 2 жыл бұрын
OMG! Where were you man? Why our professors are incapable of these skills? God bless you! Thank you
@michaellong8812
@michaellong8812 3 жыл бұрын
I think you explain this better than the author of cracking the code interview. Great job!
@grosssocks3699
@grosssocks3699 Жыл бұрын
best channel for cs periodt! Thanks a lot Michael for making me understand this tricky concept which I have been trying to grasp for past one year ;)
@MichaelSambol
@MichaelSambol Жыл бұрын
💪🏼❤️
@Aditya95111
@Aditya95111 4 жыл бұрын
Thanks for this video 👌 Love from India ❤️🇮🇳😍
@Therustyfountain
@Therustyfountain 6 ай бұрын
Studying for my Data Structures and Analysis of Algorithms midterm, thanks for your help! Great video, very easy to understand explanation.
@dr00g35
@dr00g35 Жыл бұрын
Thank you so much! You are my saviour. I will finish my algorithms class this semester because of you
@MichaelSambol
@MichaelSambol Жыл бұрын
💪🏼❤️
@techwithbube
@techwithbube 5 жыл бұрын
You are a genius. Thanks for the first time in 6 years I understand this.
@ivxr.r
@ivxr.r Ай бұрын
I love you dude! 3 lectures worth of nonsense, and this 5 minute video did it for me.
@MichaelSambol
@MichaelSambol Ай бұрын
💪🏼❤️
@volo7
@volo7 7 жыл бұрын
cant imagine how this could get any easier for comprehension. mindblowingly simple
@realnice3672
@realnice3672 4 жыл бұрын
@@talleyrand9530 if its like a= [i for i in range(10)] print(a) isn't that O(N)?
@matteoar
@matteoar 3 жыл бұрын
@@realnice3672 that's a O(1), the cicle doesn't depend on a variable but it will be up to the 10 (11?) cicles that range does. If it was a: i in range(n), that's a O(n)
@Chribit
@Chribit 6 жыл бұрын
you may have just saved my life.
@kpss03
@kpss03 Ай бұрын
Awesome work, champs!
@fzane14
@fzane14 4 жыл бұрын
Wow, what my professor took hours to explain, you explained better in 5 minutes. I appreciate you sharing this. Subscribed
@light1673
@light1673 3 ай бұрын
What is algorithm efficiency? kzbin.info/www/bejne/o32WqZVud9R2qpYsi=43RIy36zdpXRxJCd
@KienNguyen-co2on
@KienNguyen-co2on 5 жыл бұрын
This is more useful than my professor's 40 minute lecture
@momithayepuri8346
@momithayepuri8346 2 жыл бұрын
bro mine was 90 min...what is the point? 🥲
@itsok391
@itsok391 3 жыл бұрын
Easy to understand and well explained. This really helps. At first glance, My first impression of this topic is quite hard to understand.
@nathanielsa523
@nathanielsa523 Жыл бұрын
what the heck, bro is an amazing teacher. I fully understand props to u teacher
@scottunderriner3608
@scottunderriner3608 Жыл бұрын
Thank you my friend. My students appreciate all your hard work. -Mr. U
@MichaelSambol
@MichaelSambol Жыл бұрын
Awesome to hear. Thanks for sharing my channel!
@morenomt27
@morenomt27 2 жыл бұрын
wow! If I only have watched this video before the interview that I have failed 2 weeks ago :D you're a gem!!
@carlossfiesta
@carlossfiesta 2 жыл бұрын
I failed this class 3 times. I get it. I finally get it. Thank you.
@shuckol
@shuckol 5 жыл бұрын
This explanation literally thought me how to calculate one of the most important features of a good code, its Efficiency. All in 5 minutes. Unbelievable. Thanks, truly!
@light1673
@light1673 3 ай бұрын
What is algorithm efficiency? kzbin.info/www/bejne/o32WqZVud9R2qpYsi=43RIy36zdpXRxJCd
@matiheilenkotter7169
@matiheilenkotter7169 Жыл бұрын
Better explanation than my teacher with 200 PHDs, thanks!
@jithmarathnayaka2298
@jithmarathnayaka2298 5 жыл бұрын
After watching so many videos, only this video gave me a clear idea about big O notation.
@light1673
@light1673 3 ай бұрын
What is algorithm efficiency? kzbin.info/www/bejne/o32WqZVud9R2qpYsi=43RIy36zdpXRxJCd
@kausha7135
@kausha7135 Жыл бұрын
Why do I take multiple computer science classes and a math class over the course of two years and still don't understand big O, but I watch this video and suddenly it's clear as day?
@57Javier747
@57Javier747 4 жыл бұрын
I could understand easy with your explanation!! Thanks for your time! Grettings from Argentina!
@guilhermefilipefernandesba3170
@guilhermefilipefernandesba3170 9 ай бұрын
This was one fo the best educational videos I have ever seen. Thanks!
@weebmojo2861
@weebmojo2861 2 жыл бұрын
This has got to be the easiest and concise explanation i've ever seen for the Big O notation. Thanks Champ!!
@geos59
@geos59 6 жыл бұрын
Finally someone knows what they’re talking about and explains it well.
@facelessvoid2902
@facelessvoid2902 11 ай бұрын
Dude sums up my first 3 algorithm classes to 5 mins. What a chad :D
@Fikayoz
@Fikayoz 7 жыл бұрын
Thank you so much. 5 Minutes, simple, easy to understand. No unnecessary jargon.
@MarcusAbad-Dominguez
@MarcusAbad-Dominguez 9 ай бұрын
Thank you bro I needed this i got a test tomorrow and that explained It so well
@dcairol
@dcairol 4 жыл бұрын
“Brevity is an art”. Beautiful and simple explanation.
@light1673
@light1673 3 ай бұрын
What is algorithm efficiency? kzbin.info/www/bejne/o32WqZVud9R2qpYsi=43RIy36zdpXRxJCd
@estebancarrasco5823
@estebancarrasco5823 3 жыл бұрын
> Uploads short videos that go straight to the point about how algorithms work > Refuses to elaborate > Leaves Michael the big chad
@josephbonheur3053
@josephbonheur3053 8 ай бұрын
how can you simplify every hard concept to a clear beginner-friendly level like this? You are amazing thank you.
@JohnMarkIsaacMadison
@JohnMarkIsaacMadison 6 жыл бұрын
@0:08: Big o notation is simplied analysis of _____: an algorithm's efficiency. @0:53: Big O typically looks at worst case. Ignores CONSTANTS. 5n ---> O(n) @1:34: O(1) < O(logn) < O(n) < O(nlogn) < O(n²) < O(2²) < O(n!) @1:41: BigOCheatSheet.com @2:11: O(1)==ConstantTime _____: (size of n does not effect calculation time) @2:48: N*O(1) == O(N) == LinearTime @3:22: O(1)+O(N) ==> O(N) _____: Because the for loop dominates runtime. _____: For very large values of N, the O(1) _____: part is like a grain of rice in a waterfall. @3:26: (N*N) == (N²) == Quadratic Time @3:47: Can you determine the total runtime? @4:30: Because we choose WORST CASE senario, _____: we choose O(n²) in this example. @4:55: Constants Matter and be aware of best and average case.
@chrise202
@chrise202 6 жыл бұрын
I just started watching but couldn't help myself for thumbing UP, in the middle of it. Great straight to the point explanation!
@iben1195
@iben1195 2 жыл бұрын
I just heard of Big O Notation today and thanks to you for making it digestible.
@bornpahadi276
@bornpahadi276 4 жыл бұрын
This is so simple explanation of big-0 I ever found in KZbin, I was dealing with this. Thanks man.
@abhask01
@abhask01 3 жыл бұрын
Bro i've watched countless videos regarding Big O but this is the one . In just 5 minutes i learned so much more than the other ones . God bless you 👍🏼👍🏼
@vaibhavsrivastva1253
@vaibhavsrivastva1253 6 ай бұрын
May god bless you, and your family!
@madscientist8286
@madscientist8286 3 жыл бұрын
Oh man, you saved my Thursday interview, it requires Big-O and I have no idea. If I get the job I will send you a big "thank you!" :)
@TheThecheeese
@TheThecheeese 4 жыл бұрын
Wow! I go to Sussex University, Brighton, England, United Kingdom even though I am on exchange from University of Queensland, Queensland, Australia (Top 50 uni) and I still learn so much more than I have in my 50 year degree! Love your vids
@assinrobotaswome2614
@assinrobotaswome2614 2 ай бұрын
Thank you so much for this video. It finally explained what my proffeser couldent. Thank you
@brettnewbold6298
@brettnewbold6298 4 жыл бұрын
At 2:34 we say 3*O(1) = O(1), but then we say N*O(1) = O(N) at 2:53. Am I missing something about N? Is it different than n (the amount of times the print statement will occur)? My understanding is that n would be a constant and n*O(1) = O(1), just like it did for 3*O(1)
@huidaecho5194
@huidaecho5194 2 жыл бұрын
I had the exact same question, but 3 is a constant. It'll never change regardless of the data size N, so it's dropped. However, N is a variable and can change with the amount of data, so it's not dropped. That's my understanding.
@progtom7585
@progtom7585 4 жыл бұрын
brilliant video, thanks heaps. I now understand why we exclude the lower order stuff and constants...
@vitus3
@vitus3 4 жыл бұрын
It is really sad you don't make more videos, then your channel would be all i needed for the exam
@Kirill-ir4vg
@Kirill-ir4vg 6 жыл бұрын
this video finally cleared this topic for me. After so many materials I read... Much appreciate, keep it up!
@rabiaaghafoor
@rabiaaghafoor 3 жыл бұрын
The best video on big o notation ever!
@drditup
@drditup Жыл бұрын
i dont get it. i never understood this concept more precisely than this. 5 years master degree im robotics (tons of cs classes), but this 5min talk just clarified it. i will recommend this channel to every student i meet from now on
@light1673
@light1673 3 ай бұрын
What is algorithm efficiency? kzbin.info/www/bejne/o32WqZVud9R2qpYsi=43RIy36zdpXRxJCd
@adrian716
@adrian716 4 жыл бұрын
I can't believe how straight to the point this explanation is, haha
@andreaaldrich4046
@andreaaldrich4046 5 жыл бұрын
This is the only video that clicked with on me Big-O Notation.
@frazebean5117
@frazebean5117 Жыл бұрын
Crazy how this guy made me understand Big O notation in 5 minutes. Not to a deep level of course, but enough for me to get a nice intro to understanding time complexities.
@MichaelSambol
@MichaelSambol Жыл бұрын
Not as deep as uni lectures but good for intros or a refresher. Thanks for watching!
@jarrydpatel9650
@jarrydpatel9650 5 жыл бұрын
Your channel saves lives.
@AA-rd6nm
@AA-rd6nm 10 ай бұрын
Excellent explanation! Easy for understanding...thank you...
@neuro1996
@neuro1996 2 жыл бұрын
Perfect seriously perfect i had a hard time understanding it and it was this simple... Thanks man big thanks
@PhantomeJK
@PhantomeJK 2 жыл бұрын
I don't want to pile on to the comments that all echo the same sentiment, but I'm going to do it anyway :D These videos are so GOOD for learning, you succinctly sum up such big concepts, thank you.
@MichaelSambol
@MichaelSambol 2 жыл бұрын
Thank you!
@awesomeclips8253
@awesomeclips8253 6 ай бұрын
i learned more here than i did in my cs classes
@RedRedLazerKing
@RedRedLazerKing 5 жыл бұрын
My prof: hebrirbdisbfudbd ok class over.
@kaoutarru4619
@kaoutarru4619 4 жыл бұрын
Is that Russian lmao
@osmankhalid2005
@osmankhalid2005 4 жыл бұрын
Now I will be able to prepare lecture for my tomorrow's class. Thank you!
@phileasdg
@phileasdg 3 жыл бұрын
This video is excellent. Straightforward and to the point. You love to see it.
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