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

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  • เผยแพร่เมื่อ 9 พ.ค. 2024
  • Problemset link: codeforces.com/contestInvitat...
    Harmonic series blog: discuss.codechef.com/t/more-i...
    I end up covering problems A-H and K in the problemset.
    Here's part 2, where I finish it: • Complete Dynamic Progr...
    Note that problem explanations are probably long because of interacting with chat, not necessarily because of difficulty. Also, sometimes I refer to the problemset as a "mashup" because Codeforces calls it that.
    Timestamps:
    Intro 00:00
    Intro to DP (Fibonacci) 04:19
    Mashup A 21:20
    Mashup B 45:37
    Trying to pin a message 52:05
    Continuing B 56:25
    Mashup C 1:08:49
    Mashup D 1:30:45
    Mashup E 1:46:22
    Intermission (+ water bottle inspiration) 2:12:05
    Mashup F 2:17:45
    Figuring out what a derangement is 2:48:59
    Mashup G 3:00:24
    Mashup H 3:28:14
    Mashup K 3:39:26
  • วิทยาศาสตร์และเทคโนโลยี

ความคิดเห็น • 170

  • @ColinGalen
    @ColinGalen  ปีที่แล้ว +183

    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 ปีที่แล้ว +9

      😊 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 ปีที่แล้ว

      .lm
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    • @austinwitherspoon4940
      @austinwitherspoon4940 ปีที่แล้ว

      O
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    • @Gukslaven
      @Gukslaven 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 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 3 ปีที่แล้ว +143

    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 ปีที่แล้ว +9

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

    • @therealg9542
      @therealg9542 4 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 3 ปีที่แล้ว +98

    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 +2

      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 +2

      @@sayantansinharay9161 ok

    • @Cpp_For_Life
      @Cpp_For_Life 4 หลายเดือนก่อน

      I am 19 too 😢

    • @victorleroux-avantin-sq1rv
      @victorleroux-avantin-sq1rv 24 วันที่ผ่านมา

      🎉❤​@@Code_Note😂❤😂

  • @jakeambrose4294
    @jakeambrose4294 ปีที่แล้ว

    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!

  • @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.

  • @DonTequilon
    @DonTequilon ปีที่แล้ว

    what an incredible video, hope you the best.

  • @stemwithsagnik7096
    @stemwithsagnik7096 ปีที่แล้ว +1

    Thank you so much for this series!

  • @koocheukkeijacky9704
    @koocheukkeijacky9704 3 ปีที่แล้ว +4

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

  • @professionalFriend
    @professionalFriend 3 ปีที่แล้ว +5

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

  • @kinershah464
    @kinershah464 ปีที่แล้ว +16

    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.

  • @dangduong5362
    @dangduong5362 2 ปีที่แล้ว +3

    thanks for your helpful lecture

  • @sunshodan5883
    @sunshodan5883 3 ปีที่แล้ว +3

    please keep making topic streams

  • @harshsrivastava5124
    @harshsrivastava5124 3 ปีที่แล้ว +15

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

  • @lakshyabamne4303
    @lakshyabamne4303 8 หลายเดือนก่อน +3

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

  • @sazidimtiaz831
    @sazidimtiaz831 3 ปีที่แล้ว

    thank you very much!❣️

  • @abhaypatil2000
    @abhaypatil2000 3 ปีที่แล้ว +4

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

  • @timothygao9442
    @timothygao9442 3 ปีที่แล้ว +48

    "Improving is a random thing"

    • @ColinGalen
      @ColinGalen  3 ปีที่แล้ว +46

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

    • @harshadaggarwal6029
      @harshadaggarwal6029 3 ปีที่แล้ว +14

      @@ColinGalen my favorite at 2:10:20

    • @alonsocerpa2745
      @alonsocerpa2745 2 ปีที่แล้ว

      @@harshadaggarwal6029 hahaha

  • @dejavukun
    @dejavukun 3 ปีที่แล้ว +2

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

  • @karasensei2308
    @karasensei2308 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

  • @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 +9

      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

  • @igorbeliyaveski7600
    @igorbeliyaveski7600 11 หลายเดือนก่อน +1

    Thank you!!!

  • @lingcheng2971
    @lingcheng2971 2 ปีที่แล้ว +2

    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.

  • @trillionman2105
    @trillionman2105 ปีที่แล้ว +1

    Probably the first two problems would be better in a tutorial on when you should avoid dp solutions even if they are possible.

  • @shreyashachoudhary480
    @shreyashachoudhary480 2 ปีที่แล้ว

    Thanks!

  • @vanchark
    @vanchark ปีที่แล้ว +5

    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 :(

  • @mangalegends
    @mangalegends ปีที่แล้ว +5

    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

  • @anhuynh1172
    @anhuynh1172 4 หลายเดือนก่อน

    You help me a lot

  • @sachit16-26
    @sachit16-26 3 ปีที่แล้ว +14

    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.

  • @eshumanohare7614
    @eshumanohare7614 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

  • @sarathkumarnallendhiran2815
    @sarathkumarnallendhiran2815 ปีที่แล้ว +2

    Please do a topic stream on recursion and backtracking.

  • @AKRahim-wg5dm
    @AKRahim-wg5dm 3 ปีที่แล้ว

    golden voice

  • @pranjalpriyadarshi1289
    @pranjalpriyadarshi1289 3 ปีที่แล้ว

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

  • @Spectrum_Aerospacejet_Lab
    @Spectrum_Aerospacejet_Lab 7 หลายเดือนก่อน +2

    Robots and Relays.

  • @dheerajbhagchandani7529
    @dheerajbhagchandani7529 3 ปีที่แล้ว +1

    yeah it's good for me

  • @laraibanwar1618
    @laraibanwar1618 3 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 👍

  • @josephwong2832
    @josephwong2832 2 ปีที่แล้ว

    awesome stream colin

  • @nallasivakrishnasai1122
    @nallasivakrishnasai1122 3 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 2 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

  • @user-cr6gp5qf2m
    @user-cr6gp5qf2m 4 หลายเดือนก่อน

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

  • @vinicus508
    @vinicus508 7 หลายเดือนก่อน

    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

  • @Phoenix-xi2gy
    @Phoenix-xi2gy 3 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

  • @dontony7071
    @dontony7071 3 ปีที่แล้ว +2

    Next one on graphs and trees🤔

  • @AlgorithmAlchemy69
    @AlgorithmAlchemy69 9 หลายเดือนก่อน

    F can be easily be solved using dearrangements!

  • @haricharanpal1761
    @haricharanpal1761 3 ปีที่แล้ว

    Can u make a video on how do use templates

  • @user-ii5wn2nr2b
    @user-ii5wn2nr2b 5 หลายเดือนก่อน

    Just checking this out

  • @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 ?

  • @akashbhoi1951
    @akashbhoi1951 ปีที่แล้ว

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

  • @abhaypatil2000
    @abhaypatil2000 3 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  3 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.

  • @prateekchauhan9044
    @prateekchauhan9044 3 ปีที่แล้ว

    Please explain codechef november long questions

  • @Poignant_
    @Poignant_ 11 หลายเดือนก่อน

    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?

  • @prasaddash5139
    @prasaddash5139 3 ปีที่แล้ว +1

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

  • @parthpawar7837
    @parthpawar7837 3 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  3 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 3 ปีที่แล้ว

      @@ColinGalen Makes sense. Thanks for clearing this

  • @user-io4sr7vg1v
    @user-io4sr7vg1v 5 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.

  • @samarjyotiray3488
    @samarjyotiray3488 3 ปีที่แล้ว +5

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

  • @nimanthadilz
    @nimanthadilz 2 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

  • @brandonstark4133
    @brandonstark4133 3 ปีที่แล้ว

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

  • @bobapplebob9695
    @bobapplebob9695 11 หลายเดือนก่อน

    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.

  • @SonicCGames
    @SonicCGames 11 หลายเดือนก่อน

    oh loawd im coming

  • @anunaysharma5609
    @anunaysharma5609 3 ปีที่แล้ว +1

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

  • @M4rt1nX
    @M4rt1nX 11 หลายเดือนก่อน

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

  • @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).

  • @MSISAmar
    @MSISAmar 3 ปีที่แล้ว

    Pls make more videos🙏

  • @ramhemanth1132
    @ramhemanth1132 ปีที่แล้ว

    Can you share the code for each problem please.

  • @shivarajpatil8699
    @shivarajpatil8699 ปีที่แล้ว

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

  • @pulkitjoshi28
    @pulkitjoshi28 2 ปีที่แล้ว +2

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

  • @rightspotadvertising1786
    @rightspotadvertising1786 ปีที่แล้ว

    Woow woow

  • @nguyenhoangdung3823
    @nguyenhoangdung3823 3 ปีที่แล้ว +4

    what? Discord LIGHT THEME ???

    • @Artaxerxes.
      @Artaxerxes. 3 ปีที่แล้ว

      ikr its blinding

  • @shubhamk840
    @shubhamk840 3 ปีที่แล้ว +7

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

    • @ColinGalen
      @ColinGalen  3 ปีที่แล้ว +7

      soon™

    • @cpwithsundar
      @cpwithsundar 3 ปีที่แล้ว

      what is he using in this video to write

    • @derilraju2106
      @derilraju2106 ปีที่แล้ว

      @@cpwithsundar ms paint

  • @yashkumarsingh9713
    @yashkumarsingh9713 5 หลายเดือนก่อน

    do one for recursion

  • @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.

  • @udoigogoi6828
    @udoigogoi6828 3 ปีที่แล้ว

    Galen colin in cp:🔥🔥🔥🔥🔥🔥

  • @Axjira
    @Axjira 2 หลายเดือนก่อน +1

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

  • @adcaptandumvulgus4252
    @adcaptandumvulgus4252 หลายเดือนก่อน

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

  • @vinhnghiang1273
    @vinhnghiang1273 ปีที่แล้ว

    what is this IDE?

  • @newman6492
    @newman6492 ปีที่แล้ว +1

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

  • @alphaco3868
    @alphaco3868 2 ปีที่แล้ว

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

  • @eliotcamel7799
    @eliotcamel7799 10 หลายเดือนก่อน

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

  • @revanthkalavala1829
    @revanthkalavala1829 ปีที่แล้ว

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

  • @vedbhatawadekar6842
    @vedbhatawadekar6842 3 ปีที่แล้ว

    can someone explain what is the time complexity of solution in K?

  • @pinyichang4680
    @pinyichang4680 ปีที่แล้ว

    dynamic

  • @huhuboss8274
    @huhuboss8274 ปีที่แล้ว

    Only 30k left until he can pin comments

  • @miriotogata8993
    @miriotogata8993 7 หลายเดือนก่อน

    28:00

  • @mamtachahal1277
    @mamtachahal1277 3 ปีที่แล้ว

    BTW how old are you?

    • @ColinGalen
      @ColinGalen  3 ปีที่แล้ว +15

      17

    • @iitnakanpur..
      @iitnakanpur.. 3 ปีที่แล้ว

      @@ColinGalen 😲😲😲😲

    • @sachit16-26
      @sachit16-26 3 ปีที่แล้ว +2

      @@ColinGalen seriously??

  • @xagiziga
    @xagiziga 10 หลายเดือนก่อน

    wew

  • @itz_me_imraan02
    @itz_me_imraan02 2 ปีที่แล้ว +2

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

  • @Eurotool
    @Eurotool 6 หลายเดือนก่อน

    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

  • @pleasesirmorevideos4684
    @pleasesirmorevideos4684 3 ปีที่แล้ว +9

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

    • @imranif3899
      @imranif3899 3 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 3 ปีที่แล้ว +2

      @@imranif3899 you are so cute

    • @imranif3899
      @imranif3899 3 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 3 ปีที่แล้ว +1

      @@imranif3899 you are still so cute

    • @ColinGalen
      @ColinGalen  3 ปีที่แล้ว +13

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

  • @user-xb8jc9bq3b
    @user-xb8jc9bq3b หลายเดือนก่อน

    @ColingGalen, do you drink coffee?

  • @AHMEDSAAD-od3bg
    @AHMEDSAAD-od3bg 2 ปีที่แล้ว

    Did'nt you go to ioi??

  • @hacksource1784
    @hacksource1784 ปีที่แล้ว

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

  • @user-cr6gp5qf2m
    @user-cr6gp5qf2m 4 หลายเดือนก่อน

    1:57:11

  • @vimmiduggal6658
    @vimmiduggal6658 ปีที่แล้ว +1

    1:23:58
    For personal use, please ignore

  • @a.htonmoy1896
    @a.htonmoy1896 2 ปีที่แล้ว +1

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

  • @extraFart
    @extraFart ปีที่แล้ว

    2:02:34 onichan

  • @Oliver_twist00
    @Oliver_twist00 11 หลายเดือนก่อน

    Remake it big bro

  • @t.r.venkat7661
    @t.r.venkat7661 2 ปีที่แล้ว +3

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

  • @Monty.digital
    @Monty.digital 6 วันที่ผ่านมา

    math people are smart as fuck

  • @DoPlayGameYes
    @DoPlayGameYes 6 หลายเดือนก่อน

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

  • @Keitan97
    @Keitan97 11 หลายเดือนก่อน

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

  • @WalkingHeadPro
    @WalkingHeadPro 11 หลายเดือนก่อน

    booooorrrrinnnnggg

  • @tuanbuianh4938
    @tuanbuianh4938 10 หลายเดือนก่อน

    😂