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Genetic Algorithms Explained By Example 

Kie Codes
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Did you know that you can simulate evolution inside the computer? And that you can solve really really hard problems this way? In this tutorial, we will look into the question: What are genetic algorithms? I will try to explain genetic algorithms using an example. And we will look at different applications of this evolutionary algorithm. We will also try to solve one historic problem in computer science by example: The Knapsack problem.
Genetic algorithms are a subgroup of evolutionary algorithms or evolutionary computing and they are used in self-learning machine learning algorithms and AI. They use the concept of natural selection to simulate the survival of the fittest and natural selection inside your computer.
This video is number one of a course of video tutorials to teach you the very basics of genetic algorithms in Python.
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Questions of the day
■ What would you use genetic algorithms for?
P-VERSUS-NP-PROBLEM:
■ I love the simple explanation and the relations to the Simpsons and Futurama: • P vs NP on TV - Comput...
RESEARCH:
■ Eiben, A. E. et al (1994) "Genetic algorithms with multi-parent recombination"
■ Geijtenbeek, van de Panne, van der Stappen (2013) "Flexible Muscle-Based Locomotion for Bipedal Creatures" - www.goatstream.com/research/p...
■ Hornby, Globus (2006) "Automated Antenna Design with Evolutionary
Algorithms" - ti.arc.nasa.gov/m/pub-archive...
Timestamps:
00:00 Intro
00:23 The Problem
02:48 The Knapsack Problem
03:20 What are Genetic Algorithms
04:17 How does it work?
06:49 Summary
07:52 Is it worth it?
08:40 Results
10:23 Applications
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This video contains advertising content.
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Attribution:
■ Photo by Anush Gorak from Pexels - www.pexels.com/photo/man-hold...
#python #machinelearning #geneticalgorithms

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13 июл 2024

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Комментарии : 453   
@KieCodes
@KieCodes 4 года назад
Thanks for stopping by! Today we will encounter a problem we can't easily solve with our normal algorithmic tools so we deep dive into a class of algorithms called: GENETIC ALGORITHMS! I hope you find it as interesting as I do. *What would you use them for?*
@DevOpsDirective
@DevOpsDirective 4 года назад
I first learned about evolutionary algorithms from this TED talk www.ted.com/talks/bill_gross_a_solar_energy_system_that_tracks_the_sun/ Since then I have wanted to use them to write a program that attempts to learn how to write brainf***. BF seems like a good language choice since there are only a handful of symbols and writing/instrumenting an interpreter to also evaluate an objective function to feed back into the evolutionary algorithm would be simple! I haven't gotten around to it yet, but perhaps soon!
@Stopinvadingmyhardware
@Stopinvadingmyhardware Год назад
Thanks, you just helped me solved a vector problem I was having. Oddly, I didn’t even use an algorithm.
@kx9473
@kx9473 3 года назад
This guy explained everything from 2 weeks long boring lecture in under 12 minutes with extremely clear explanation. I love you because you just saved my degree.
@KieCodes
@KieCodes 2 года назад
You are more than welcome my friend. 🙏 Rock on! 🚀
@davidi686
@davidi686 9 месяцев назад
2 hour’s lecture in 12mins how about that .
@Terra_Cognita
@Terra_Cognita 8 месяцев назад
Do you know how he calculated the total number of combinations in a naive brute force approach? I did permutations and combinations and the values were not equal.
@Terra_Cognita
@Terra_Cognita 8 месяцев назад
Never mind I figured it out, It is the sum of all possible (N chooses k) combinations k = 0, 1,..N which simplifies to 2^N
@mr.boomguy
@mr.boomguy 3 месяца назад
This is why I love watching RU-vid. Sure, 95% of the time is trivia and entertainment, but then you stumble upon things you either where looking for or not, and you learn them in minutes instead of the years it takes from professional lecturing. (Granted, processing that information is a whole other ordeal, but at least you have it on hand)
@sergioseco9835
@sergioseco9835 3 года назад
this deserves a million views
@KieCodes
@KieCodes 3 года назад
Thanks Sergio 🙏
@michaelfekadu6116
@michaelfekadu6116 3 года назад
I agree
@KieCodes
@KieCodes 3 года назад
Thank you. 🙏
@mattgraves3709
@mattgraves3709 3 года назад
not joking!
@KieCodes
@KieCodes 3 года назад
@@mattgraves3709 Thanks as well! 😅
@xandrovich5976
@xandrovich5976 2 года назад
I must say - the quality of this video is top-notch. The crisp editing, sound, and illustrations do a great job of demonstrating the point.
@KieCodes
@KieCodes 2 года назад
Thank you so much! 🙏
@adityagarg2185
@adityagarg2185 Год назад
This video was AMAZING. I can't believe the amount of time and effort you took to explain this topic so clearly. It sucks that you stopped making videos. What can I do to motivate you to make an algorithm series?
@TarunRavi
@TarunRavi 4 года назад
Wow your video is awesome! You explained a pretty complex algorithm in a simple way. I've always wanted to use genetic algorithms for one of my videos, this is a fantastic intro to the field! btw I love your video quality, it looks soo good.
@KieCodes
@KieCodes 4 года назад
Thanks so much for your kind words. 🙏
@colinmignot6309
@colinmignot6309 2 года назад
you're great teacher. taking time to edit engaging videos with visuals like you do is very effective to help ppl grasp concepts
@KieCodes
@KieCodes 2 года назад
Thank you. 🙏
@abdullahsheriff_
@abdullahsheriff_ Год назад
According to me, his video is THE BEST explanation on RU-vid on Genetic Algorithms. My mates and I understood Genetic Algorithms like never before, loved it, and implemented it in our University Course Project. Thank you, Kie.
@KieCodes
@KieCodes Год назад
You are more than welcome! Enjoy your studies!
@georgeruellan
@georgeruellan 3 года назад
Dude this video is amazing. Great explanation, I liked the real world example too. Your editing style is sick too! Can't wait to see more from you
@KieCodes
@KieCodes 3 года назад
Thanks George. This means a lot and is really motivating! Great to have you here. Rock on!
@CristalMediumBlue
@CristalMediumBlue Год назад
Toll. Das ist das beste Video, das ich bisher zu diesem Thema gesehen habe
@eddazzo
@eddazzo 3 года назад
Im a computer science degree student and this helps me to understand better on my final year project's topic! Thank you very much sir!
@KieCodes
@KieCodes 3 года назад
You are more than welcome my friend. 🙏 Rock on! 🚀
@willboler830
@willboler830 2 года назад
Excellent video! One of the better selection algorithms and more typical is a tournament selection. Rather than choosing the best fitness genes for the next generation, each gene is given a probability of selection based on their fitness. Better genes have a higher probability of selection, and worse genes have a lower probability of selection, but the odds of selection are not 100% and 0% respectively. This takes a bit longer when it comes to finding a solution, but it gives a better search of the solution space.
@mesticasamelapapna708
@mesticasamelapapna708 Год назад
Thank you for this Kie! I'm amazed that you use Genetic Algorithm to solve the Knapsack problem :)
@aliticx
@aliticx 3 года назад
Man I wish everyone explained concepts this good! Awesome video!
@KieCodes
@KieCodes 3 года назад
Thank you Aliticx. This comment really means a lot to me. 🙏 Having people to really understand what I try to explain is way more worth to me than subscribers and views. Thank you.
@subpixelsalt7648
@subpixelsalt7648 4 года назад
Great video! I've been facinated by genetic algorithms after seeing people use it to beat levels in Super Mario Bros. There's just something so fascinating about watching a computer "learn" how to get better at doing something.
@KieCodes
@KieCodes 4 года назад
Thank you! I totally feel the same. It is modern magic. 🙃
@zacrobyte
@zacrobyte 3 года назад
Yo dude, this is some next level way of teaching your channel should've had atleast 1 mil already
@KieCodes
@KieCodes 3 года назад
Thank you. 🙏 Maybe some day. Thanks again for the motivating words.
@lohithkandukuri5579
@lohithkandukuri5579 Год назад
SOOOOOOOO gooood.... Nobody could have been more concise and informative at the same time.
@KieCodes
@KieCodes Год назад
Thank you very much! 🙏🙏🙏
@alvaroarcelus8949
@alvaroarcelus8949 11 месяцев назад
Amazingly explained!! Thank you so much. 🙌
@adinvella4665
@adinvella4665 Год назад
Very informative video; full of information yet very easy to follow. Thank you!
@BehniaFB
@BehniaFB 3 года назад
I've never imagined that one day Seth Rogen will be teaching me Algorithms😂 (Jokes aside this video was amazing and well-made; GOOD JOB!❤)
@shouryaraj5913
@shouryaraj5913 3 года назад
Astonishing video! Thanks for sharing the incredible research papers. Looking forward to learn and explore more. Thanks
@KieCodes
@KieCodes 3 года назад
Thanks for you kind words! :)
@annashchukina3768
@annashchukina3768 3 года назад
This was an amazing introduction to the topic and great intuition. Thanks for the video! It was also fun to watch😄
@KieCodes
@KieCodes 3 года назад
Thank you. 🙏
@TheTehnigga
@TheTehnigga 2 года назад
Really well explained and cured, these are the kind of explanations that I prefer, there's love and dedication behind it. Thank you!
@KieCodes
@KieCodes 2 года назад
Thank you. 🙏
@GlynisDance
@GlynisDance Год назад
That was an excellent video. Clear, engaging, inspiring and fun! I will be watching more of your videos.
@KieCodes
@KieCodes Год назад
Thank you!
@evrmk
@evrmk Год назад
Three 1.5-hour-long lectures in my university explained in 11 minutes. Thanks!
@hansergonzalez6646
@hansergonzalez6646 2 года назад
What an amazing content, explained with simple words. Thanks and keep up the hard work.
@KieCodes
@KieCodes 2 года назад
Glad you liked it! Thank you!
@thop7964
@thop7964 2 года назад
Fantastic example. Really helps show how the conceptual steps actually work!
@KieCodes
@KieCodes 2 года назад
Thank you. 🙏
@kritagyagupta8619
@kritagyagupta8619 3 года назад
Dude, Your videos are higher quality then Pewdiepie and Dream combined Not exaggerated I have literally understood a concept u have tried to learn from past 10 months
@KieCodes
@KieCodes 3 года назад
Thank you. 🙏 I am glad I could help. And thanks for your nice words. ☺️
@BehniaFB
@BehniaFB 3 года назад
Every second I that goes, I realize more how complete this video is ! This vid should definitely have more than a million views .
@KieCodes
@KieCodes 3 года назад
Thank you so much!
@MeANDmyPETgoat
@MeANDmyPETgoat 3 года назад
Great video bro, helped me understand what my teacher's mumbling couldn't for our test, keep it up!
@KieCodes
@KieCodes 3 года назад
Thanks for your kind words. 🙏
@jayha5924
@jayha5924 11 месяцев назад
good man, keep it up!! really appreciated
@fasaipuengudom5412
@fasaipuengudom5412 Год назад
Best video regarding this topic. Very visual and easy to understand
@hamidnodehi
@hamidnodehi Год назад
Helped a lot. Thanks so much.
@mohammadabdurroufhrithik5152
very helpful video!!! excellently explained!
@kr0tyara
@kr0tyara 3 года назад
You are such an underrated gem. GOOD JOB!!!
@KieCodes
@KieCodes 3 года назад
Thank you. 🙏
@daphnelenders4207
@daphnelenders4207 3 года назад
Thanks a lot for your explanation, looking forward to use genetic algorithms in the future!
@KieCodes
@KieCodes 3 года назад
Thank you. Have fun, its a great tool!
@michellesainos3443
@michellesainos3443 3 года назад
Thank you!!! your explanation was very clear and awesome!! Definitely checking out the implementation
@KieCodes
@KieCodes 3 года назад
Thank you Michelle!🙏
@o.rudyemonvuon64
@o.rudyemonvuon64 3 года назад
Absolutely amazing !!!! You perfectly outlined the points and I'm defenetly more intrigued in doing additional research and watching your other videos !!!
@KieCodes
@KieCodes 3 года назад
Thank you for your kind words.
@TheCzarsoham
@TheCzarsoham 3 года назад
Great video! Exactly what I was looking for!
@KieCodes
@KieCodes 3 года назад
I am sooo glad it helped you! 🙏
@diegocruz8187
@diegocruz8187 3 года назад
This channel should have more subscribers! Really amazing video and explanation
@KieCodes
@KieCodes 3 года назад
Thanks Diego! 💪🙏
@mahdilatreche4501
@mahdilatreche4501 3 года назад
This video is astonishing, you deserve a lot more views, keep up the good work :)
@KieCodes
@KieCodes 3 года назад
Thank you. 🙏
@BraidyMerkle
@BraidyMerkle 4 года назад
I have not yet had to use genetic algorithms, but want to try them out after watching this video! Thanks for the introduction!
@KieCodes
@KieCodes 4 года назад
Thanks Braidy! Let me know what you used them for. :)
@Joselo09111
@Joselo09111 2 года назад
Fantastic explanation! I learned more in this video, than my professor
@KieCodes
@KieCodes 2 года назад
Great to hear! Thank you so much!
@samidahdouh7863
@samidahdouh7863 4 месяца назад
This is actually one of the best videos I've ever seen on RU-vid. Thank you!
@KieCodes
@KieCodes 4 месяца назад
Wow. Thank you. 🙏🎉
@jiahaochang8628
@jiahaochang8628 2 года назад
This is an awesome video to match. Thank you for your explanation, that is a great visual approach!
@KieCodes
@KieCodes 2 года назад
Thank you! 🙏
@roct07
@roct07 Год назад
This is so well explained
@srinivaskollipara1293
@srinivaskollipara1293 3 года назад
this is awesome!!!!!!! I am a mechanical engineer with 0 knowledge in these type of algorithms but for the sake of a project on scheduling using the genetic algorithm I was surfing youtube, this is the best explanation I ever had and it is very clear if possible, please suggest algorithms similar to this which are good for job shop scheduling.
@MohamedHassan-xf5wb
@MohamedHassan-xf5wb Год назад
Really well explained
@paragvadhiya8019
@paragvadhiya8019 2 года назад
Video is on point, accurate and does not waste your time. Thanks so much man.
@KieCodes
@KieCodes 2 года назад
I really appreciate your kind words! 🙏
@robert__
@robert__ 3 года назад
Really good video, thank you so much, subbed
@KieCodes
@KieCodes 3 года назад
Thank you. 🙏
@ouahidalalga9437
@ouahidalalga9437 2 месяца назад
Just Wow! Hats off to you, that's a great explanation.
@KieCodes
@KieCodes 2 месяца назад
Thanks a lot!
@shahed.hijjawi
@shahed.hijjawi Год назад
GREAT EFFORT BRO!
@ragabnadim
@ragabnadim Год назад
Thank you for the video, will recommand to my students
@shwetakale246
@shwetakale246 2 года назад
Best video with good example thank you!!
@KieCodes
@KieCodes 2 года назад
Thank you. 🙏
@TWFDeadzoneII
@TWFDeadzoneII 3 года назад
Mind blowing. I can't wait to implement this.
@KieCodes
@KieCodes 3 года назад
It surely is. Have fun!
@rafaelpmimoso
@rafaelpmimoso 2 года назад
Much love for your work!!!
@KieCodes
@KieCodes 2 года назад
Thank you. 🙏
@seriouscoder1727
@seriouscoder1727 2 года назад
I,ve watched many clips in this regard but your explanation was one of a kind, absoulotlly deserve thousends of million of billion views
@KieCodes
@KieCodes 2 года назад
Wow. Thank you for your kind words! 🙏
@MaTrOoOoD
@MaTrOoOoD 3 года назад
After watching the video I opened the channel expecting to see millions of subscribers. You deserve much more!! What an awesome video. Simple and right to the main points! Keep up the good work!
@KieCodes
@KieCodes 3 года назад
Wow. Thanks for your kind and motivating words Mo. I will try my best. To be honest I wouldn’t be ready for millions of subs. Glad to hopefully hit a 1000 till 2021. Have a great day! 🙏
@KieCodes
@KieCodes 3 года назад
And thanks for subscribing! One sub closer. ☺️
@MaTrOoOoD
@MaTrOoOoD 3 года назад
@@KieCodes dude your videos are extraordinary! I couldn’t resist 🤷🏻‍♂️ Wish you best of luck man! Can’t tell you how happy and excited I am to see what you have next!
@sardororipov1302
@sardororipov1302 3 года назад
I’m here before this channel get 1million subs. Keep up the great work man!
@KieCodes
@KieCodes 3 года назад
Thank you. 🙏
@sevdalink6676
@sevdalink6676 6 месяцев назад
Whoah men! You fascinated me. What a level of explanation.
@KieCodes
@KieCodes 6 месяцев назад
Thank you. I hope it helped. 🙏🫡
@yasminejas5007
@yasminejas5007 3 месяца назад
Thank you so much this video is very helpful for my thesis!
@KieCodes
@KieCodes 3 месяца назад
Glad it was helpful! 🙏
@nishitpatel5686
@nishitpatel5686 2 года назад
one of the best videos on genetic algorithm
@KieCodes
@KieCodes 2 года назад
Thank you. 🙏
@arianalini8636
@arianalini8636 8 месяцев назад
how is it not booming yet?! thank u for the clear explanation + the awesome edits!
@vasachisenjubean5944
@vasachisenjubean5944 3 года назад
man the effort you put in this video is - "Salute"
@KieCodes
@KieCodes 3 года назад
Thank you. 🙏
@1stpatrickha
@1stpatrickha 3 года назад
To be honest, this is the best video explained about this Genetic Algor concept. Quality contents. Keep going dude!
@KieCodes
@KieCodes 3 года назад
Thank you. 🙏
@pranshujayswal1458
@pranshujayswal1458 3 года назад
THANK YOU so much!! AMAZING VIDEO.WORTH THE TIME!!
@KieCodes
@KieCodes 3 года назад
Thanks for your kind words!
@Copybook
@Copybook Год назад
I was really hard to digest it and I don't mean mathematically BTW, tomorrow I have an exam and you save my life, a blessing from an AI student
@zecool7041
@zecool7041 3 года назад
really good explanation , better than most of videos that i have seen and better than my teacher's lecture , keep up the good work , greetings from algeria
@KieCodes
@KieCodes 3 года назад
Thank you for your kind words! Have a great day. 🙏
@danmiller4091
@danmiller4091 3 года назад
Thank you very much great explanation!!!!!
@KieCodes
@KieCodes 3 года назад
You are more than welcome my friend. 🙏 Rock on! 🚀
@shauryan23
@shauryan23 2 года назад
Great Explanation!!!👏
@KieCodes
@KieCodes 2 года назад
Thank you!
@AMaoR14
@AMaoR14 2 года назад
This was awesome. Great explanation. thanks !
@KieCodes
@KieCodes 2 года назад
You are more than welcome my friend. 🙏 Rock on! 🚀
@ForTheOmnissiah
@ForTheOmnissiah Год назад
Wish you uploaded more. This is quality content.
@r.ramirez1521
@r.ramirez1521 2 года назад
Please don't ever go away. This was amazing
@KieCodes
@KieCodes 2 года назад
Thank you. 🙏
@aaradhyanegi639
@aaradhyanegi639 5 месяцев назад
I've never learned anything in this way I love it!
@KieCodes
@KieCodes 5 месяцев назад
I am glad to hear that!
@rajathalexander406
@rajathalexander406 3 года назад
best possible explanation, became ur FAN
@KieCodes
@KieCodes 3 года назад
Thank you and welcome! 🙏
@Mohamed_Shabaik
@Mohamed_Shabaik Год назад
I don't usually make comments. but that was a really well-explained and interesting video, Thanks!
@shahlaanasab2898
@shahlaanasab2898 3 года назад
You are amazing! Thank vey much for this excellent explanation.
@KieCodes
@KieCodes 3 года назад
You are more than welcome my friend. 🙏 Rock on! 🚀
@hzmuhabbet
@hzmuhabbet 3 года назад
Great explanation dude, thanks so much.
@KieCodes
@KieCodes 3 года назад
You are more than welcome my friend. 🙏 Rock on! 🚀
@brendanmcnamara8648
@brendanmcnamara8648 3 года назад
Beautifully explained, thank you
@KieCodes
@KieCodes 3 года назад
Thank you for your kind words, Brendan. 🙏
@bernat-molero
@bernat-molero 2 года назад
Hahaha thanks a lot for your video and also for how you explain it! It was really funny the video of the locomotion for bipedal creatures. I understood the basics so thanks!
@KieCodes
@KieCodes 2 года назад
Thank you. 🙏 I am glad you liked it!
@Felicia-126
@Felicia-126 Год назад
Amazing video, thank you.
@KieCodes
@KieCodes Год назад
Thank you. 🙏
@marco.nascimento
@marco.nascimento 3 года назад
Excellent explanation, such an interesting topic!
@KieCodes
@KieCodes 3 года назад
It is right? Thanks again! 🙏
@roylevy178
@roylevy178 3 года назад
Great explanation man! thank you :)
@KieCodes
@KieCodes 3 года назад
Thank you! You are welcome. 🙏
@charlesplate6728
@charlesplate6728 2 года назад
Great explanation, thank you!!😀
@KieCodes
@KieCodes 2 года назад
Thank you. 🙏
@SuperNightmareID
@SuperNightmareID 2 года назад
That booping noise had me checking my pc and phone every time lmao.
@KieCodes
@KieCodes 2 года назад
😅 sorry
@mcbot1344
@mcbot1344 3 года назад
Wow this is incredibly helpful for my exam. Keep up the good work! Greetings from Germany
@KieCodes
@KieCodes 3 года назад
Thank you for your kind words, Mc Bot. 🙏
@jiujuntang
@jiujuntang Год назад
Amazing!
@taylan8973
@taylan8973 3 года назад
I rarely leave a comment but your explanation is just amazing. Good job
@KieCodes
@KieCodes 3 года назад
Thanks Taylan! 🙏
@marcellorossetticonti3002
@marcellorossetticonti3002 Год назад
Hi Kie, congratulations on the clarity of your explanation. It gave me some suggestions on how to improve the way I explain these algorithms. I work in Italy as a physics researcher and in my group we routinely employ these kinds of algorithms to optimize the performance of particle accelerators redesgning them (with a similar approach to the antenna problem you mentioned). I can confirm that they work wonders at solving systems whose dynamics are extremely complex (especially when due to highly correlated variables)! I wanted to tell you that in our code we apply elitism as the last thing (even following mutation) to be sure that the best fitness value never goes down in subsequent generations. If you apply mutation later, you risk losing the best solution from the previous cycle. Nothing catastrophic though, the genetic information to reconstruct the best solution is mixed in the rest of the population anyway and will probably re-emerge soon anyway.
@mgwyndolin4262
@mgwyndolin4262 Год назад
Hi thanks for sharing your insight! It is very instructive and helps me clarify the confusion about the top performers of the previous generation being mutated instead of kept intact in the video. But this video really offers a great explanation.
@chaosrider100
@chaosrider100 2 года назад
All is fine and useful from this video and I will recommend it to my students as a quick introduction, BUT this is not natural selection - it is called "directed" or "purposeful" selection. It is similar to what you have in ML for supervised learning - there is an aim (manifested by the elitist genomes)... Natural selection works aimlessly and randomly. The biggest difference between the two is the speed of convergence - as Natural selection is a notoriously slow process.
@KieCodes
@KieCodes 2 года назад
Thank you for the clarification! 🙏
@harishsingh5225
@harishsingh5225 3 года назад
Explained brilliantly.
@KieCodes
@KieCodes 3 года назад
Thank you so much. 🙏
@HarunFarah
@HarunFarah Год назад
Great vid done a better job at explaining than a university lecturer
@KieCodes
@KieCodes Год назад
Thank you very much!
@kattagarian
@kattagarian 10 месяцев назад
thank you for the video
@user-kk6tl7dm5c
@user-kk6tl7dm5c Год назад
Really well explained. I will appreciate it if you can make a project to solve time table scheduling problem with genetic algorithm.
@ammarazlan2919
@ammarazlan2919 Год назад
Thank you so much! Please do Clonal Selection Algorithm next please...!
@PhaeronServinus
@PhaeronServinus 3 года назад
this is a great video man, thanks so much
@KieCodes
@KieCodes 3 года назад
You are more than welcome my friend. 🙏 Rock on! 🚀
@gruyere5638
@gruyere5638 3 года назад
Man you're awesome, keep up the good work
@KieCodes
@KieCodes 3 года назад
Thank you. 🙏
@user-ll7el5xp7d
@user-ll7el5xp7d 3 года назад
You're awesome! I don't speak English as well, but your explanation is really good, and I understand the main idea!
@KieCodes
@KieCodes 3 года назад
Thank you. 🙏
@danielfortesque3536
@danielfortesque3536 3 года назад
Fantastic work bro!
@KieCodes
@KieCodes 3 года назад
Thanks a lot!
@imanelamnaoir590
@imanelamnaoir590 Год назад
Dude, you 're just amazin
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