Big-O notation in 5 minutes

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  • Опубліковано 22 лип 2024
  • Introduction to big-O notation.
    Code: github.com/msambol/dsa
    Sources:
    1. Algorithms by S. Dasgupta, C. H. Papadimitriou, and U. V. Vazirani [www.amazon.com/Algorithms-San...]
    2. pages.cs.wisc.edu/~paton/readi...
    3. bigocheatsheet.com/
    LinkedIn: / michael-sambol

КОМЕНТАРІ • 619

  • @bobjohnson6946
    @bobjohnson6946 3 роки тому +1409

    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 роки тому +28

      no indian accent

    • @stuiedaman
      @stuiedaman 2 роки тому +14

      @@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 Рік тому +3

      And no stupid analogies

    • @Gupatik
      @Gupatik Рік тому +2

      @@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 2 місяці тому

      I love overwatch

  • @supernerd10000000000
    @supernerd10000000000 7 років тому +2232

    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 років тому +72

      Modern teachers should learn like this dude. Simple, short and easy to understand.

    • @passaroquetemasanaovoa
      @passaroquetemasanaovoa 6 років тому +102

      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...

    • @user-mw5ih4ns5b
      @user-mw5ih4ns5b 6 років тому +12

      really agree with this opinion

    • @FunnyHacks
      @FunnyHacks 6 років тому +63

      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 6 років тому +5

      Same from Spain

  • @DanT-iu6oc
    @DanT-iu6oc 4 роки тому +211

    HOW DID THIS GUY EXPLAIN IN 5 MINS WHAT CONFUSED MY ENTIRE CLASS FOR 2 HOURS? WHAT THE HELL?!!

    • @user-rf4vc7mt4d
      @user-rf4vc7mt4d 4 роки тому +1

      lmao right?

    • @BlueMrDragoN
      @BlueMrDragoN 3 роки тому +6

      2 hours? For me its been 10 weeks and it all makes sense now lmao

  • @hunterblake8507
    @hunterblake8507 6 років тому +728

    Explained better in 5 min than in the 3 lectures my professor taught on it

    • @genericwhitemale7028
      @genericwhitemale7028 5 років тому +19

      He's gotta expand the class long enough so he won't awkwardly stay silent for 100 minutes.

    • @reyarnoco5657
      @reyarnoco5657 5 років тому +12

      @@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 3 роки тому +5

      Efficiency

    • @rauleduardocruzperez7270
      @rauleduardocruzperez7270 3 роки тому +3

      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 роки тому +1

      😂

  • @Talents.z
    @Talents.z 4 роки тому +364

    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 роки тому

      Yes

    • @jdkingsley6543
      @jdkingsley6543 3 роки тому +8

      literally break out laughing, old educators are the problem.

    • @aroncasiano1796
      @aroncasiano1796 3 роки тому +6

      my data structures and algorithms book literally rambles off on none important information and over complicates this proccess lol

    • @oworandom
      @oworandom 2 роки тому +1

      @@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 роки тому +2

      its because they gotta gatekeep the knowledge broseph

  • @333_studios
    @333_studios 6 років тому +184

    I need to do a big-O analysis on my life habits priorities.

  • @latedeveloper7836
    @latedeveloper7836 2 роки тому +66

    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 роки тому

      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 Рік тому

      @@pranavnyavanandi9710 Actually it's not exactly that considering we disregard the multiplicative constants wheras in maths we don't

  • @koshka02
    @koshka02 Рік тому +20

    You did a better job explaining in 5 minutes than my professor did in 4 hours of lecture.
    Well done.

  • @DaRealTim
    @DaRealTim 4 роки тому +11

    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

  • @lexicon1580
    @lexicon1580 6 років тому +50

    Every computer science professor I've ever had didn't explain this concept as simply and concisely as you just did. Thank you.

  • @shauryajindal21
    @shauryajindal21 11 місяців тому +1

    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!!!

  • @doglife2447
    @doglife2447 9 місяців тому +1

    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.

  • @aaronbaker8606
    @aaronbaker8606 2 роки тому +2

    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.

  • @ZenithF0RTE
    @ZenithF0RTE Місяць тому

    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.

  • @MsKostas7
    @MsKostas7 4 роки тому +3

    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!

  • @TSAMikeyo89
    @TSAMikeyo89 3 роки тому

    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.

  • @barisbasar3909
    @barisbasar3909 2 роки тому +7

    Im amazed by the simplicity of your content. You really drown out all the unnecessary stuff and hit the nail on right on its head

  • @whiteline4157
    @whiteline4157 3 роки тому

    I read multiple articles about this topic but you are the only one that I can understand. Thanks for the video.

  • @vamsir2000
    @vamsir2000 8 місяців тому

    This is so far the best video that I cam across about Big O. Thank you Michael

  • @ninjarogue
    @ninjarogue 3 роки тому +1

    Thank you Michael, that was a really concise and great explanation! This video helped me finally wrap my head around these basic concepts!

  • @emmyleke7049
    @emmyleke7049 11 днів тому

    After 1 hour videos, I cannot believe how much this helped me finally understand this topic. I'm in awe.

  • @cryscoxx
    @cryscoxx Рік тому

    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!

  • @nehalzahra5763
    @nehalzahra5763 5 років тому +4

    You're amazing bro , i have learnt a lot from your five minute video than 36 minutes tutorials.

  • @fzane14
    @fzane14 3 роки тому +1

    Wow, what my professor took hours to explain, you explained better in 5 minutes. I appreciate you sharing this. Subscribed

  • @aguelejoseph5753
    @aguelejoseph5753 Місяць тому

    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

  • @chrise202
    @chrise202 5 років тому

    I just started watching but couldn't help myself for thumbing UP, in the middle of it. Great straight to the point explanation!

  • @Cos_Wayne
    @Cos_Wayne Рік тому

    This is one of the best tutorials I have ever seen, thank you.

  • @techwithbube
    @techwithbube 5 років тому

    You are a genius. Thanks for the first time in 6 years I understand this.

  • @TBButtSmoothy
    @TBButtSmoothy Рік тому +1

    real teacher shows its mastery at simplifying whats complex without losing information

  • @loispeter2270
    @loispeter2270 Рік тому +2

    Your explenation is so much better than the explenation from my teachers. Thank you so much!

  • @Therustyfountain
    @Therustyfountain Місяць тому

    Studying for my Data Structures and Analysis of Algorithms midterm, thanks for your help! Great video, very easy to understand explanation.

  • @valentino8625
    @valentino8625 2 роки тому

    one of the Simple and Perfect explanation about Big-O notation I have ever heard.

  • @shuckol
    @shuckol 5 років тому +1

    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!

  • @zaiyuanlu8751
    @zaiyuanlu8751 4 роки тому

    Instead of the big long videos, you made this concept clear and easy to understand, all UA-cam 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

  • @michaellong8812
    @michaellong8812 3 роки тому

    I think you explain this better than the author of cracking the code interview. Great job!

  • @deepshah737
    @deepshah737 2 роки тому

    What an amazing video! Your teaching skills and presentation skills are amazing.

  • @troybolo
    @troybolo Рік тому +1

    Helped me understand a topic i've been struggling with for ages in a clear and simple way. lifesaver!

  • @morello6061
    @morello6061 4 роки тому +6

    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.

  • @Patiencelad
    @Patiencelad 2 роки тому

    Finally, someone who explains it clearly, without all the mumbo jumbo. Thank you!

  • @vladimirkirichenko1972
    @vladimirkirichenko1972 2 місяці тому

    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.

  • @jithmarathnayaka2298
    @jithmarathnayaka2298 5 років тому +1

    After watching so many videos, only this video gave me a clear idea about big O notation.

  • @devendratapdia11
    @devendratapdia11 4 роки тому +2

    Simplified so much that even 8th std kid will understand. Great job.

  • @josephbonheur3053
    @josephbonheur3053 3 місяці тому

    how can you simplify every hard concept to a clear beginner-friendly level like this? You are amazing thank you.

  • @deeabee96
    @deeabee96 5 років тому

    Learned more from this 5 minute vid than several hours in discrete structures class...

  • @dreamer-en7ir
    @dreamer-en7ir 9 місяців тому

    Slow, loud and clear voice...bro you just saved my exam...thanks

  • @Deevart88
    @Deevart88 7 років тому +2

    You're videos are the best, Thank you for your efforts

  • @MattUKepcc816
    @MattUKepcc816 5 років тому

    I'd love to be your student for all my computer science classes your explanations are so perfect!

  • @grosssocks3699
    @grosssocks3699 10 місяців тому +1

    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 ;)

  • @morello6061
    @morello6061 4 роки тому +267

    All the down votes are from jealous CS professors.

    • @hugh-martinrouxhughy7419
      @hugh-martinrouxhughy7419 3 роки тому +11

      No jokes, this man did in 5 minutes what my lecture couldn't do in an entire semester XD

    • @BruceRicard
      @BruceRicard Місяць тому

      All the down votes are from people who actually know what big-O is.

    • @morello6061
      @morello6061 Місяць тому

      @@BruceRicard Found one!

  • @geos59
    @geos59 6 років тому +1

    Finally someone knows what they’re talking about and explains it well.

  • @nathanielsa523
    @nathanielsa523 11 місяців тому

    what the heck, bro is an amazing teacher. I fully understand props to u teacher

  • @TheDarkestPaladin
    @TheDarkestPaladin Рік тому +2

    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

  • @miettehancox9762
    @miettehancox9762 Рік тому

    thanks michael! very clear and brief while still defining key terms. super useful

  • @AKGamersLite
    @AKGamersLite 2 роки тому +8

    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

  • @bonnypratt9990
    @bonnypratt9990 4 роки тому

    Thank you Michael. Love your short but to the point, handy for brushing up or needing to know the 30,000feet view.

  • @morenomt27
    @morenomt27 2 роки тому

    wow! If I only have watched this video before the interview that I have failed 2 weeks ago :D you're a gem!!

  • @Kirill-ir4vg
    @Kirill-ir4vg 6 років тому +6

    this video finally cleared this topic for me. After so many materials I read... Much appreciate, keep it up!

  • @itsok391
    @itsok391 2 роки тому

    Easy to understand and well explained. This really helps. At first glance, My first impression of this topic is quite hard to understand.

  • @chandrashekarr1977
    @chandrashekarr1977 2 роки тому

    OMG! Where were you man? Why our professors are incapable of these skills? God bless you! Thank you

  • @vaibhavsrivastva1253
    @vaibhavsrivastva1253 Місяць тому +1

    May god bless you, and your family!

  • @osmankhalid2005
    @osmankhalid2005 4 роки тому

    Now I will be able to prepare lecture for my tomorrow's class. Thank you!

  • @patrickbarroso7290
    @patrickbarroso7290 6 місяців тому

    Wow, so clear!! I'm impressed, great job!

  • @dcairol
    @dcairol 3 роки тому +11

    “Brevity is an art”. Beautiful and simple explanation.

  • @jarrydpatel9650
    @jarrydpatel9650 4 роки тому

    Your channel saves lives.

  • @Fikayoz
    @Fikayoz 6 років тому +1

    Thank you so much. 5 Minutes, simple, easy to understand. No unnecessary jargon.

  • @scottveron
    @scottveron 7 років тому +23

    I love your videos, dude. Simple and short but still educational

  • @iben1195
    @iben1195 Рік тому

    I just heard of Big O Notation today and thanks to you for making it digestible.

  • @ddarhe
    @ddarhe 7 років тому +4

    Your content is very much appreciated; your vids are an amazing way for both learning and reviewing algorithms and related theory, thank you!

  • @AA-rd6nm
    @AA-rd6nm 5 місяців тому

    Excellent explanation! Easy for understanding...thank you...

  • @hadesnj2770
    @hadesnj2770 3 місяці тому

    Finally an actually good video which fr explained smth without useless intros and random bs

  • @NinaHProductions1
    @NinaHProductions1 6 років тому +6

    Love this simplification of time complexity of Algorithms - thank you, thank you , thank you!!!

  • @Chribit
    @Chribit 6 років тому +30

    you may have just saved my life.

  • @scottunderriner3608
    @scottunderriner3608 9 місяців тому

    Thank you my friend. My students appreciate all your hard work.
    -Mr. U

    • @MichaelSambol
      @MichaelSambol  9 місяців тому

      Awesome to hear. Thanks for sharing my channel!

  • @Ackuroon
    @Ackuroon 5 років тому

    Very neat explanation. Have this topic this semester and this vid made everything click.

  • @MarcusAbad-Dominguez
    @MarcusAbad-Dominguez 3 місяці тому

    Thank you bro I needed this i got a test tomorrow and that explained It so well

  • @guilhermefilipefernandesba3170
    @guilhermefilipefernandesba3170 4 місяці тому

    This was one fo the best educational videos I have ever seen. Thanks!

  • @facelessvoid2902
    @facelessvoid2902 5 місяців тому

    Dude sums up my first 3 algorithm classes to 5 mins. What a chad :D

  • @vitus3
    @vitus3 4 роки тому

    It is really sad you don't make more videos, then your channel would be all i needed for the exam

  • @aswinp2135
    @aswinp2135 8 місяців тому

    Thank you so much, great channel. Simple and easy

  • @TheThecheeese
    @TheThecheeese 4 роки тому

    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

  • @nallilley3863
    @nallilley3863 5 років тому

    Gonna use your channel a lot for A Level Computer Science from September! Cheers.

  • @sito8943
    @sito8943 2 роки тому

    If I have watched these videos three years ago, I would had a better calification at school, thanks a lot

  • @edu-and-justice
    @edu-and-justice 2 роки тому +1

    Amazing and simple explanation ^_^ thank you Michael!

  • @dr00g35
    @dr00g35 Рік тому

    Thank you so much! You are my saviour. I will finish my algorithms class this semester because of you

  • @madscientist8286
    @madscientist8286 2 роки тому

    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!" :)

  • @joeldawriter
    @joeldawriter 6 років тому

    Was having some trouble understanding this concept, Appreciate the help!

  • @Aditya95111
    @Aditya95111 4 роки тому +1

    Thanks for this video 👌
    Love from India ❤️🇮🇳😍

  • @msabbah20
    @msabbah20 6 років тому

    Thanks For the Video , clear introduction :) appreciate your effort Michael

  • @Preeti..7886
    @Preeti..7886 4 роки тому

    This video finally cleared this topic for me.. thanku so much ..

  • @57Javier747
    @57Javier747 4 роки тому

    I could understand easy with your explanation!!
    Thanks for your time!
    Grettings from Argentina!

  • @ahmedoumar3741
    @ahmedoumar3741 2 роки тому

    This is the best explanation i ever come across, thanks!

  • @KixMayne91
    @KixMayne91 6 років тому +25

    I know this is late but MY GOD I facepalmed myself after watching this, you really gave me that eureka moment...sounds cheesy but than you soooooo much for this.

  • @awesomeclips8253
    @awesomeclips8253 29 днів тому

    i learned more here than i did in my cs classes

  • @reenanachare3565
    @reenanachare3565 7 років тому

    Clear and Clean understanding. Awesome !!!

  • @volo7
    @volo7 7 років тому +24

    cant imagine how this could get any easier for comprehension. mindblowingly simple

    • @realnice3672
      @realnice3672 3 роки тому

      @@talleyrand9530 if its like a= [i for i in range(10)]
      print(a)
      isn't that O(N)?

    • @matteoar
      @matteoar 3 роки тому

      @@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)

  • @rabiaghafoor3561
    @rabiaghafoor3561 2 роки тому

    The best video on big o notation ever!

  • @RedRedLazerKing
    @RedRedLazerKing 4 роки тому +84

    My prof: hebrirbdisbfudbd ok class over.

  • @kamleshshamnani9225
    @kamleshshamnani9225 6 років тому

    Short and simple, Very nice informative video :) Thanks.

  • @GigaWarTrex
    @GigaWarTrex 5 років тому +3

    Perfectly summed up and SUPER understandable! Thanks man, you really helped me a lot!

  • @marcinburak2226
    @marcinburak2226 6 років тому

    Thank man! That's exactly what I needed. I couldn't get my head around this stuff and then puff - 5 mins with you and I can get going :D