Complete Dynamic Programming Practice - Noob to Expert | Topic Stream 1

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  • เผยแพร่เมื่อ 20 พ.ย. 2024

ความคิดเห็น • 188

  • @ColinGalen
    @ColinGalen  2 ปีที่แล้ว +217

    Seems like this video is hitting the algorithm. For those of you who are new here - I have a face now, and also a significantly better mic :)

    • @dipankarkumarsingh
      @dipankarkumarsingh 2 ปีที่แล้ว +11

      😊 Good to See you back on TH-cam [ after a long break ] ....
      And yes this video is really Quality content [ with Lots of Varity on Questions ]
      thanks for the video

    • @austinwitherspoon4940
      @austinwitherspoon4940 2 ปีที่แล้ว

      .lm
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    • @austinwitherspoon4940
      @austinwitherspoon4940 2 ปีที่แล้ว

      O
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    • @Gukslaven
      @Gukslaven 2 ปีที่แล้ว +4

      Honestly the best tutorial I've seen for DP. I'm working through the problems and referring back to this vid as I get stuck, making progress :)

    • @minfoodtravels
      @minfoodtravels 2 ปีที่แล้ว

      programming becoming more widely available and newbies like myself find your methods of teaching very easily absorbing into my brain cells, I thank you for your great and entertaining content and deep knowledge on DP.

  • @abhinavghosh725
    @abhinavghosh725 4 ปีที่แล้ว +155

    for me the hardest part of DP is finding out that this is a Dp problem .
    btw you repeatedly said rows in place of column and vice versa many times , other than that it was perfect !

    • @shreyghugtiyal4118
      @shreyghugtiyal4118 2 ปีที่แล้ว +5

      exactly😂

    • @Shreyas535
      @Shreyas535 2 ปีที่แล้ว +10

      For me the hardest part is to identify a greedy problem. I have the least success rate in identifying greedy problems.

    • @therealg9542
      @therealg9542 10 หลายเดือนก่อน +1

      If the problem can be solved by solving subproblems, the problem is most likely a dp question. If the solution to the current subproblem cannot be solved using previous subproblems, then the question is most likely not a dp question. dp intuition requires practice.

  • @sayantansinharay9161
    @sayantansinharay9161 4 ปีที่แล้ว +121

    I am 19 :) still watching you learn something. One suggestion my friend please don't get distracted by live comments

    • @Code_Note
      @Code_Note 3 ปีที่แล้ว +5

      lol didnt expect u here

    • @sayantansinharay9161
      @sayantansinharay9161 3 ปีที่แล้ว +1

      @@Code_Note brooooo my school kanishk i too do cp a bit bro connect up you on linkedin or discord

    • @Code_Note
      @Code_Note 3 ปีที่แล้ว +5

      @@sayantansinharay9161 ok

    • @Cpp_For_Life
      @Cpp_For_Life 11 หลายเดือนก่อน

      I am 19 too 😢

    • @victorleroux-avantin-sq1rv
      @victorleroux-avantin-sq1rv 7 หลายเดือนก่อน

      🎉❤​@@Code_Note😂❤😂

  • @kinershah464
    @kinershah464 2 ปีที่แล้ว +18

    Great video. I tried my best to follow and understand the concepts.
    Just one suggestion, if you can use better variable names to represent DP states. Using variable names like i, j and k can be confusing sometimes.
    I know you are used to using shorter names since it's way convenient and fast for CP but I will really appreciate if you could use slightly longer and meaningful names, of course only during explanation for better understanding and avoiding any confusion.
    Again thanks for great explanation. Really appreciate the time you have taken to explain the DP concepts.

  • @timothygao9442
    @timothygao9442 4 ปีที่แล้ว +59

    "Improving is a random thing"

    • @ColinGalen
      @ColinGalen  4 ปีที่แล้ว +54

      There are probably a lot of good quotes in this video lol

    • @harshadaggarwal6029
      @harshadaggarwal6029 4 ปีที่แล้ว +17

      @@ColinGalen my favorite at 2:10:20

    • @alonsocerpa2745
      @alonsocerpa2745 3 ปีที่แล้ว

      @@harshadaggarwal6029 hahaha

  • @PrinceKumar-gl5fk
    @PrinceKumar-gl5fk 4 หลายเดือนก่อน +1

    solution for 1st question
    #include
    using namespace std;
    int pow_2(int n){
    return (1n ;
    long long x=pow_2(n/2);
    if(n%2) cout

  • @lingcheng2971
    @lingcheng2971 3 ปีที่แล้ว +4

    For problem F, your original code is almost passing.
    if (k>=4) ans += 3 * nck(n,4) + nck(n,2)*nck(n-2,2);
    can pass all tests.

  • @eshumanohare7614
    @eshumanohare7614 2 ปีที่แล้ว +2

    A non-dp solution to problem G
    #include
    #include
    using namespace std;
    typedef long long ll;
    int main(){
    ll v1, v2;
    cin >> v1 >> v2;
    ll t, d;
    cin >> t >> d;
    ll ans = v1 + v2;
    for(ll i=1; i

  • @watchlistsclips3196
    @watchlistsclips3196 3 ปีที่แล้ว +11

    I am soo glad that you are making a video on graphs .It will be lot more helpful to many people if you make videos on problems involving greedy method like u made for topics such as trees, dynamic programming . Like where we need to use this approach. We have very less videos regarding this.

  • @vanchark
    @vanchark 2 ปีที่แล้ว +6

    I appreciate you putting out this free educational content, but a suggestion would be to try to stay focused while explaining your thought process. It's hard to follow along when mid-thought you reply to chat :(

  • @professionalFriend
    @professionalFriend 4 ปีที่แล้ว +6

    Good Work...First i can try questions on my own and see your video if i get stuck at some problem.

  • @johnnycharles702
    @johnnycharles702 5 หลายเดือนก่อน +2

    I fell asleep listening to a podcast and then this came on afterwards. I had anxiety dreams I was in college again, and you were trying to teach me differential equations, but nothing you said made any sense because this isn't a class on DE.

  • @dejavukun
    @dejavukun 3 ปีที่แล้ว +2

    Thanks a lot for the contest. Please avoid getting distracted by the comments. Breaks the flow of explanation.

  • @zoeylovegood2185
    @zoeylovegood2185 5 หลายเดือนก่อน +4

    I have no idea what complete dynamic programming is, nor do I ever imagine I'll ever learn, but I did somehow wake up at 3am from a very bizzare dream about it due to youtube's autoplay. So thanks youtube for the 3am lesson that I didn't ask for.

    • @kylerdavis3930
      @kylerdavis3930 2 หลายเดือนก่อน

      same lmao

    • @kelvin3592
      @kelvin3592 หลายเดือนก่อน

      same lmao

  • @lakshyabamne
    @lakshyabamne ปีที่แล้ว +3

    my right ear enjoyed this stream very much, cant say the same for my left year though :)

  • @jakeambrose4294
    @jakeambrose4294 ปีที่แล้ว +1

    Wow this seems like what ive been dying to find. I sure hope it is. I appreciate all your effort and sharing the knowledge my friend!

  • @mangalegends
    @mangalegends 2 ปีที่แล้ว +6

    So I just realized something after see you do Mashup B. One of the big parts of my struggle with DP questions is understanding what the heck the question is really asking. I saw the solution to the number of typeable substrings for the example string "abacaba" is 12, and I could not see how there are 12 substrings. I could only count 5:
    a
    ab
    aba
    ba
    b
    I couldn't fathom how there's 12 until like the next day I took a look again and it occurred to me that they're counting the same character multiple times if it's in the string in different places. So they're not looking for the count of unique substrings, which was pretty counterintuitive for me

  • @vishnusingh4118
    @vishnusingh4118 3 ปีที่แล้ว +9

    Thanks for these vids man! One suggestion - The audio quality is a dampener to the amazing efforts you're putting in. If it's a short video, it's bearable, but in long streams like these, audio is actually way more important than video. If you could invest a bit in a better mic, it would do a world of good to up the quality of audio. Thanks again for your efforts and value addition to the community. Learning a ton from you!

    • @ColinGalen
      @ColinGalen  3 ปีที่แล้ว +10

      Yep, this is an older video, and I have a much better mic for some of the newer ones.

    • @nathann6518
      @nathann6518 3 ปีที่แล้ว +1

      @@ColinGalen I need help, for mashup A, I do get 2*f(n-2), do to probability, but I don’t get f(n-2) + f(n-2) and how you got that solution using DP

  • @Eurotool
    @Eurotool ปีที่แล้ว +1

    Dreamed of this annoying know-it-all from my previous job
    He was "teaching" me things I already knew
    He said "now I'm gonna teach you recursion"
    And I replied I ALREADY KNOW WHAT THAT IS
    And he flat out ignored me
    Then he said "okay to learn recursion we're gonna use fibonacci's sequence. but first let's learn what fibonacci's sequence is"
    I was like NO I KNOW WHAT IT IS but again he ignored me
    Eventually I was fed up so I left the room
    But he CALLED ME and kept explaining fibonacci's sequence
    Then I woke up and found out TH-cam was playing this random programming tutorial

  • @karasensei2308
    @karasensei2308 2 ปีที่แล้ว

    not know , but just know you've affected my life, and apparently tens of thousands of others, in an imnsely positive way. Thank you

  • @abhaypatil2000
    @abhaypatil2000 4 ปีที่แล้ว +4

    Definitely you are getting to 10k.cause once a person start watching you he is going to stick with you

  • @JayDee-b5u
    @JayDee-b5u 11 หลายเดือนก่อน

    FFT is not DP. It uses the decimation algorithm because so many of the elements end up being zeros. It can be 'memoized' but to break it up into smaller subproblems doesn't give any benefit.

  • @sunshodan5883
    @sunshodan5883 3 ปีที่แล้ว +3

    please keep making topic streams

  • @inspired_enough_to_grow_up
    @inspired_enough_to_grow_up 3 ปีที่แล้ว +15

    will you conduct more such?
    highly needed bruh!

    • @ColinGalen
      @ColinGalen  3 ปีที่แล้ว +16

      Yeah, I do plan more in the future, there's just not much time for me to do them currently.

  • @bobapplebob9695
    @bobapplebob9695 ปีที่แล้ว

    I incredibly doubt you will see this due to the fact that you apparently have a ton of subscribers all of a sudden, but thought you'd get a kick out of me having found this video through autoplay while asleep, you can imagine my surprise when I woke up and I heard a voice I recognized.

  • @harshsrivastava5124
    @harshsrivastava5124 4 ปีที่แล้ว +15

    Thanks a lot it really helped.. Hoping to see more of these streams :)

  • @eliotcamel7799
    @eliotcamel7799 ปีที่แล้ว +1

    First few problems be like: "Imagine doing the O(1) solution when there's an O(n) solution"

  • @koocheukkeijacky9704
    @koocheukkeijacky9704 3 ปีที่แล้ว +4

    Thank you so much! I learnt a lot in all of your tutorial stream

  • @DonTequilon
    @DonTequilon 2 ปีที่แล้ว

    what an incredible video, hope you the best.

  • @itz_me_imraan02
    @itz_me_imraan02 3 ปีที่แล้ว +2

    Couldn't understand some problems clearly....you could have explained some problems in more details....don't recommend this for beginners 😔..

  • @samarjyoti-ray
    @samarjyoti-ray 4 ปีที่แล้ว +5

    5:41
    "No Way!"
    t'was funny 😂😂
    You must be working with Python, I guess?

  • @dangduong5362
    @dangduong5362 3 ปีที่แล้ว +3

    thanks for your helpful lecture

  • @sarathkumarnallendhiran2815
    @sarathkumarnallendhiran2815 2 ปีที่แล้ว +2

    Please do a topic stream on recursion and backtracking.

  • @matteopozzi_
    @matteopozzi_ 2 หลายเดือนก่อน

    How easily this dude gets distracted while talking is insane

  • @vinicus508
    @vinicus508 ปีที่แล้ว +1

    I slept with TH-cam on and this video started playing. I dreamt about a guy who was solving the Navier Stokes millennium equation using some sort of toy that he moves around with his fingers (that was you typing). Lmao

    • @kaizoku_04
      @kaizoku_04 3 หลายเดือนก่อน

      😂😂😂😂😂😂😂😂😂😂😂

  • @parthpawar7837
    @parthpawar7837 4 ปีที่แล้ว

    In problem A, f(n) = 2f(n-2) because we choose a 2x3 block (which has 2 orientations) and multiply with the solution of f(n-2), hence 2f(n-2). But we can also chose that 2x3 block in n ways, so why isn't the relation f(n) = n*2*f(n-2) ?

    • @ColinGalen
      @ColinGalen  4 ปีที่แล้ว +1

      Because the location of the block is irrelevant - if you put it somewhere in the middle, it'll be equivalent to putting it in the middle later (i.e. the order in which you place down blocks is irrelevant). So that recurrence will drastically overcount. I use the recurrence I do to make the subproblems independent - if I place it at the (right) end of the current grid, then it will be completely independent from the rest of the grid, and thus not overcount.

    • @parthpawar7837
      @parthpawar7837 4 ปีที่แล้ว

      @@ColinGalen Makes sense. Thanks for clearing this

  • @dontony7071
    @dontony7071 4 ปีที่แล้ว +2

    Next one on graphs and trees🤔

  • @Spectrum_Aerospacejet_Lab
    @Spectrum_Aerospacejet_Lab ปีที่แล้ว +2

    Robots and Relays.

  • @newman6492
    @newman6492 ปีที่แล้ว +2

    I think you don't know what is row and what is column?

  • @AlgorithmAlchemy69
    @AlgorithmAlchemy69 ปีที่แล้ว

    F can be easily be solved using dearrangements!

  • @M4rt1nX
    @M4rt1nX ปีที่แล้ว

    Yeah, the algo got me here. It was on autoplay while I was sleeping.

  • @nguyenhoangdung3823
    @nguyenhoangdung3823 4 ปีที่แล้ว +4

    what? Discord LIGHT THEME ???

    • @Artaxerxes.
      @Artaxerxes. 4 ปีที่แล้ว

      ikr its blinding

  • @revanthkalavala1829
    @revanthkalavala1829 ปีที่แล้ว

    Problem F should be more suitable in Math category rather than DP.

  • @igorbeliyaveski7600
    @igorbeliyaveski7600 ปีที่แล้ว +1

    Thank you!!!

  • @sazidimtiaz831
    @sazidimtiaz831 3 ปีที่แล้ว

    thank you very much!❣️

  • @prasaddash5139
    @prasaddash5139 4 ปีที่แล้ว +1

    i am still not able to get the C problem can any one suggest a place to read it again

  • @shubhamk840
    @shubhamk840 4 ปีที่แล้ว +7

    Since you have crossed more than 5k subs, you should now switch to something like electronic writing pad I guess.

    • @ColinGalen
      @ColinGalen  4 ปีที่แล้ว +7

      soon™

    • @cpwithsundar
      @cpwithsundar 3 ปีที่แล้ว

      what is he using in this video to write

    • @derilraju2106
      @derilraju2106 2 ปีที่แล้ว

      @@cpwithsundar ms paint

  • @Yash-x1m6t
    @Yash-x1m6t 10 หลายเดือนก่อน

    Hey @ColinGalen I did not understood why are you using min() in mashup C's ?

  • @huhuboss8274
    @huhuboss8274 ปีที่แล้ว

    Only 30k left until he can pin comments

  • @LadderVictims
    @LadderVictims 6 หลายเดือนก่อน

    1:03:00 didnt understand the logic as to why f(i)= f(i-1)+1, if f(i) is the no of substrings ending with index i

    • @ashishischad
      @ashishischad 2 หลายเดือนก่อน

      same did you got the answer?

  • @dheerajbhagchandani7529
    @dheerajbhagchandani7529 4 ปีที่แล้ว +1

    yeah it's good for me

  • @jakeambrose4294
    @jakeambrose4294 ปีที่แล้ว

    theres very very very little amount of resources on the internet that help people from 0-100 with constructive resources and telling them what to drill and practice.

  • @adcaptandumvulgus4252
    @adcaptandumvulgus4252 8 หลายเดือนก่อน

    As soon as I heard the word math I went "nope"

  • @JosephKozora
    @JosephKozora ปีที่แล้ว

    Just checking this out

  • @Axjira
    @Axjira 9 หลายเดือนก่อน +1

    I woke up to this. How does someone end here starting from brawl stars kmak

  • @nallasivakrishnasai1122
    @nallasivakrishnasai1122 4 ปีที่แล้ว +1

    @Colin Galen In problem E(office keys) Can you please help me in formally proving that the greedy way of having continuous assignment between the keys and people is optimum. Anyone's help would be really useful.

    • @dakshchhabra5975
      @dakshchhabra5975 3 ปีที่แล้ว

      Lets say P1 and P2 are positions of two people and k1 and k2 are positions of two Keys
      I am going to explain one of the case when k1>P1 and k2 > P2, other 3 cases you can deduce by yourself
      Distance if we assign P1 to k2 and P2 to k1 is
      K2-P1 + (p2-k1) if we assume P2> k1
      Surely this dis is greater than
      K1-p1 + (p2-k2) because P2>k1
      Other cases you can prove similarly

  • @abhinavrajhans1107
    @abhinavrajhans1107 3 ปีที่แล้ว

    i do not understand the dth question in that we can keep him awake for k straight minutes and if we choose start of 3 then we can keep him awake till [3,3+3-1] which includes 5 2 5 so the sum is 12 but how sum is coming as 14 please help ?

  • @anhuynh1172
    @anhuynh1172 10 หลายเดือนก่อน

    You help me a lot

  • @nimanthadilz
    @nimanthadilz 3 ปีที่แล้ว +2

    Hi Colin, In problem E-Office Keys, I understand why you say two people can't cross their paths to get the keys. But you didn't say why you choose key positions continuously. I mean if first person is assigned to ith key position, second person is assigned to (i+1)th position and so on. What is the reason for this ?

    • @theblinkingbrownie4654
      @theblinkingbrownie4654 ปีที่แล้ว +1

      The second person is not assigned to the (i+1)th position, he has the CHOICE to choose the (i+1)th position and any key after that

  • @laraibanwar1618
    @laraibanwar1618 4 ปีที่แล้ว +4

    Hey colin can u plz teach line sweep algorithms with example plz.. Ur videos are awesome tho. Great work and i like the ways u teach. Best 👍

  • @alphaco3868
    @alphaco3868 3 ปีที่แล้ว

    It took 1 month to complete dp where some people trying to learn dp in one day ..... :D

  • @prateekchauhan9044
    @prateekchauhan9044 4 ปีที่แล้ว

    Please explain codechef november long questions

  • @anunaysharma5609
    @anunaysharma5609 4 ปีที่แล้ว +1

    Hey Colin,
    can you please make a video for beginners on how to become red on codeforces, thank you

  • @pulkitjoshi28
    @pulkitjoshi28 3 ปีที่แล้ว +2

    Hey, in problem A, shouldn't f[0] be 0, since a 3x0 grid doesn't make sense.

  • @Poignant_
    @Poignant_ ปีที่แล้ว

    Hello, in the past couple of days my internet started acting very strange, my lights are a solid green and a blinking orange but whenever i try to play an online game i keep getting disconnected but the little icon in the right corner still says in connected, how can i fix this?

  • @shreyashachoudhary480
    @shreyashachoudhary480 2 ปีที่แล้ว

    Thanks!

  • @brandonstark4133
    @brandonstark4133 4 ปีที่แล้ว

    Why can't I join the MashUp GYMS(PROBLEMSETS)?

  • @shivarajpatil8699
    @shivarajpatil8699 2 ปีที่แล้ว

    Do you actually Questions like this or do it in the mind?

  • @pleasesirmorevideos4684
    @pleasesirmorevideos4684 4 ปีที่แล้ว +9

    Nice Stream just avoid reading chats so much, they distract a lot rest all are fine

    • @imranif3899
      @imranif3899 4 ปีที่แล้ว +9

      Why? It's his channel, he has the complete freedom to do streams the way he deems it fun as well as informative. It's no easy task doing a 4hr streaming without taking much of a break.

    • @pleasesirmorevideos4684
      @pleasesirmorevideos4684 4 ปีที่แล้ว +2

      @@imranif3899 you are so cute

    • @imranif3899
      @imranif3899 4 ปีที่แล้ว +1

      @@pleasesirmorevideos4684 lol...couldn't you just avoid reading my comment? So distracting, wasn't it? I highly doubt your ability to do what you just said.

    • @pleasesirmorevideos4684
      @pleasesirmorevideos4684 4 ปีที่แล้ว +1

      @@imranif3899 you are still so cute

    • @ColinGalen
      @ColinGalen  4 ปีที่แล้ว +13

      @@pleasesirmorevideos4684 Bruh, even if you know each other, don't be toxic

  • @Phoenix-xi2gy
    @Phoenix-xi2gy 4 ปีที่แล้ว +2

    Can you please provide some resource or some intuition for "taking continuous keys will give us optimal solution" part of E problem Office Keys

  • @AKRahim-wg5dm
    @AKRahim-wg5dm 3 ปีที่แล้ว

    golden voice

  • @abhaypatil2000
    @abhaypatil2000 4 ปีที่แล้ว

    I am not comfortable using push dp. Is it ok to use recursive dp. I mean are there any questions which can be done by push dp and not with recursive dp?

    • @ColinGalen
      @ColinGalen  4 ปีที่แล้ว +9

      Yes, there are some. However, they usually involve difficult recurrences, and won't show up until the higher end of the difficulty scale. In almost all cases, it's completely fine to use recursive DP, and whatever you use is preference. By the time you get to the point of having to solve the harder ones, you'll probably be comfortable enough with DP to be able to do it.

  • @akashbhoi1951
    @akashbhoi1951 2 ปีที่แล้ว

    Is this the extension or something else (the box with the right arrow) :)

  • @docstyagi7775
    @docstyagi7775 3 ปีที่แล้ว +1

    In problem E, office keys. Taking a contiguous segment of keys is always optimal. Can this lead to a better complexity than O(people * keys).

  • @vimmiduggal6658
    @vimmiduggal6658 2 ปีที่แล้ว +1

    1:23:58
    For personal use, please ignore

  • @pranjalpriyadarshi1289
    @pranjalpriyadarshi1289 3 ปีที่แล้ว

    How do I get the list of all the codeforces mashups which you have created!

  • @nasimnajand9697
    @nasimnajand9697 6 หลายเดือนก่อน

    Great!

  • @Dr.Cosmar
    @Dr.Cosmar 4 หลายเดือนก่อน

    Try about 48k more hours, you're still a noob after this.
    You're thinking woke me up.

  • @isaacfrankagidi8715
    @isaacfrankagidi8715 2 หลายเดือนก่อน

    That is great

  • @udoigogoi6828
    @udoigogoi6828 3 ปีที่แล้ว

    Galen colin in cp:🔥🔥🔥🔥🔥🔥

  • @yashkumarsingh9713
    @yashkumarsingh9713 11 หลายเดือนก่อน

    do one for recursion

  • @SonicCGames
    @SonicCGames ปีที่แล้ว

    oh loawd im coming

  • @haricharanpal1761
    @haricharanpal1761 4 ปีที่แล้ว

    Can u make a video on how do use templates

  • @a.htonmoy1896
    @a.htonmoy1896 3 ปีที่แล้ว +2

    Why this people in the chat talk more about other shits than the problems in a topic stream ! It's irritating 😑

  • @hacksource1784
    @hacksource1784 2 ปีที่แล้ว

    GLAD I MET HACKERS SUMMIT WHO SORTED MY GRADES ISSUES,THEY CAN HELP YOU

  • @josephwong2832
    @josephwong2832 3 ปีที่แล้ว

    awesome stream colin

  • @peachgypsy556
    @peachgypsy556 2 หลายเดือนก่อน

    Why the F*** did this interrupt my korean street food?????

  • @Keitan97
    @Keitan97 ปีที่แล้ว

    I set TH-cam on auto play when I was asleep… where the fuck am I?

  • @MSISAmar
    @MSISAmar 4 ปีที่แล้ว

    Pls make more videos🙏

  • @IvanManchur
    @IvanManchur 7 หลายเดือนก่อน

    @ColingGalen, do you drink coffee?

  • @mionee_m
    @mionee_m ปีที่แล้ว

    yeah i can really tell you are 17 right now. i couldn't sit for 10 seconds of this

  • @itrvenky
    @itrvenky 3 ปีที่แล้ว +3

    ur too much into live chat!!...this turns irritating at a point

  • @pranaygarg1370
    @pranaygarg1370 3 ปีที่แล้ว +4

    Bro I love your explanations but either stop doing live streams or don't talk to chat in the middle of a solution. Because when i watch recording out of 40 mins of a solution 20 mins is just random talks and its too annoying for us. Read chats when you switch between questions but not otherwise.

  • @vinhnghiang1273
    @vinhnghiang1273 ปีที่แล้ว

    what is this IDE?

  • @vibingwithmonty
    @vibingwithmonty 6 หลายเดือนก่อน

    math people are smart as fuck

  • @jacekratajczyk4547
    @jacekratajczyk4547 5 หลายเดือนก่อน

    yt wtf. I fall asleep for 4h xD

  • @Armand-z3o
    @Armand-z3o 2 หลายเดือนก่อน

    dang microphone

  • @rightspotadvertising1786
    @rightspotadvertising1786 2 ปีที่แล้ว

    Woow woow

  • @salonsospain
    @salonsospain 3 หลายเดือนก่อน

    SantaClaus

  • @pinyichang4680
    @pinyichang4680 2 ปีที่แล้ว

    dynamic