Finding Pi in Pokémon Sapphire
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- Опубліковано 13 бер 2024
- support me on patreon: / adefgames
watch the Winning Sequence: @winningsequence | / winningsequence
Can you Beat Pokemon FireRed While Blind & Deaf: • Can you beat Pokemon F...
Intro music by @DonutShoes - www.ethandesautels.com/
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Credits:
The Pi Search page: www.angio.net/pi/
Eve Andersson's Page on Pi Digit Frequency: www.eveandersson.com/pi/precal... (This website seems to have been taken down in the last 48 hours???? Very scary coincidence lmao)
If you'd like some further reading/viewing on Normality / Pi / Champernowne's Constant, here are some of the pages I used in my research:
www.claymath.org/library/annu...
fse.studenttheses.ub.rug.nl/1...
mathoverflow.net/questions/51...
mathoverflow.net/questions/23...
#pokemon #science #maths - Ігри
Hey there, gang! A great point has been made by many commenters, and I think I should address it!
An infinitely long number with an equal distribution of all of the digits is not the *only* requirement for a number to be deemed Normal.
There are other, more difficult to parse requirements that are more entrenched in number theory. I think that the requirements I stated in the video are still the most beneficial / easy to parse for an introductory youtube video on the topic, but for more info on what a number needs to be definitively Normal, please check the description for further reading resources.
Thanks for watching and thank you for commenting!!!
One of the very few instances where the "pop scientist" says that we do not know if pi is normal... very good!
I will be watching your career with great interest.
Thanks for sharing this Kyle! Made my day!
Omg, Kyle Hill, the award winning science educator! Hiii
The villain requires a new servant
crossover event of the century
A new hand touches the Beacon.
Pi has mastered the strategy of every 9-year old Pokemon player: winning by overleveling your starter
Raw brute STRENGTH. Nothing else matters.
>b-b-but...
NOTHING. ELSE.
Who needs stat buffing moves? Just pure damage will do
most 9 year olds don't have tens of thousands of hours on their save file before beating the first trainer though. this pi fellow really sucks at pokemon
@@zeemgeemnah, he's just cheesing it
As an engineer I can tell you pi is exactly 3
Nah, by law it's 5
@@TheSoftwareNerdwhich rounds up to ten so pi is 10
Pi is actually 22.7
As a programmer I can tell you pi is exactly 1
As a math man I can tell you pi is the π button on my calculator
7:53 IT'S EVEN HAD POKERUS
Pokerus is pretty easy to get through repetition. I've gotten it shiny hunting (in sapphire my battery is dead at this point so I can't soft reset and instead encounter and run away) and still never found a shiny pokemon.
@@solsystem1342"Pokérus has a 3 in 65,536 (or approximately a 1 in 21,845) chance of being generated on one of the player's Pokémon after a battle, making it rarer than encountering or hatching a Shiny Pokémon.". It's not pretty easy.
@@antoniocalado7101yeah but the things been going for 2 years and has spent much of that doing wild encounters, it’s absolutely gone over those odds
@@antoniocalado7101 Even if you consider it an average of 100 inputs for pi to get into battles, pi will get into around 70,000 battles which is far over the 3 in 65,536. Now that doesn't make it guaranteed by any means but it does make it so that you aren't lucky after getting Pokérus after 70,000 battles. Therefore, pi isn't lucky (at least not in that way).
I'm not doubting this is true but where do you see evidence of this? I thought it either had to say PKRS somewhere or show a smiley face to indicate it's already had it before
if anyone is curious
back in stream 44 part 3 Pi was only a few steps away from May in route 103, but then at the 36:28 minute mark a 2 came by in the sequence of Pi, at that moment Pi was just over one of the ledges in route 103, tragedy followed and Pi has not recovered yet, May is still waiting in route 103
I commented it months ago in stream 313 part 3.
I was curious, thank you for sharing
well, we done it now
@@norwatch_llamaassasin YES I SAW
@@norwatch_llamaassasin FUCK YEAH MY FRIEND
pi plays pokemon like an NPC, staying in one place and doing the same thing over and over again
and like all NPCs it has a very few number of team members but they are leveled quite high
My phone number appears in the first 200 million digits of Pi! I hope I haven't just doxxed myself to some super dedicated stalker.
Pi can be used to be dox anyone technically.
Oh, that was a mistake. Now everyone will find you.
Wow my reply was sent to the shadow realm lol
Lol same!
I got your coordinates from there too bye bye 🤫 🧏
"Normality is a remarkably difficult thing to prove" is such an unintentionally powerful quote.
I'm a commenter who reads, and I know what you did adef.
Me too, and I’m disappointed him SMH
I am confused. What did I miss?
he should definitely lose his career over this
Basically got 2 super popular songs mixed up and thought "Stacy's mom" included a phone number, which it doesn't , that's a different song. But the joke still works cause it basically implies Stacy's mom is so promiscuous that everyone has her phone number for booty calls.@@diogomarques7479
I shall pay for my sins.
Normal number implies winning sequence is faulty logic because Sapphire is softlockable. It's very unlikely, but it would be amazing if gogols of digits from now, pi softlocks itself on Pacifidlog.
How to you softlock
@@Noob-gb6bn fly to Pacifidlog, throw out pokeballs, enter the poke center, release your Surf and Fly users and any pokemon that can learn those. Congratulations! You can't leave without Fly or Surf, there's no way to buy balls with no mart so you can't catch a new HM user even if you picked up a Rod, and even if you black out you're gonna respawn in that pokemon center. You as a human with a console/emulator need an additional step, save the game, but Pi can't restart the game so it's stuck even without that.
note: there may be additional conditions, the wiki mentions spending all money and throwing all items, but I'm not sure why since there's no Mart IIRC. Also in Emerald there's a guy that will trade your Horsea for a Bagon, which can Fly if evolved, but Horsea can Surf so you've released it already.
@@DeuxisWasTaken the game will not let you release your last hm users, you will have to put them both in the daycare and then teleport to pacifilog
@@Kambyday ohh that's how, thanks, good to know. I thought they only implemented that "can't be released" thing in ORAS.
This is a great point that I didn't consider. There are actually several ways to softlock yourself in gen 3. And, if you're a pikasprey fan, there are *tons* of ways to *almost* do it too
My mom teaches upper high school math and used to teach computer science back in the day. I’ve always loved Pokémon my whole life so she tried to join me with Pokémon go and has been playing that game ever since it released, so I showed her your channel since it basically merges two of her favorite things and she loves it so much!! She’s thinking about showing some of your statistics based videos to her stat classes haha. Thank you for making these! I forgot how cool math can be :”]
This is wonderful! Please tell her she is more than welcome to use the videos for teaching!!!
I think i heard monkey ball music. Good job on the video gamer adef
Total respect for the addition of "if youre financially able to". Not many show that level of understanding/respect to their potential backers
To be fair, if the internet's brain rot hadn't massively accellerated in the last like, 8 years, this was seen as a thing so obvious it wasn't worth mentioning.
after 20 long years of searching, i’ve finally found it… my kind of autism….
"if you read this whole thing, you're probably not a youtube commenter" WRONG i enjoy every bit u do in ur videos even if it is a split second explanation of an inaccurate joke that spans the entire page. it's enrichment in my enclosure.
HAPPY PI DAY.
Hap-pi day!
As far as pi only having 10 digits, you could you bigrams instead, giving you 100 digits, which would allow you to "weight" certain inputs like assigning more bigrams to an input. Like giving B more than Start, so it spends less time in the menu
I found this channel on my own a few months ago. And I busted into laughter after finding that, several years into the run, this project hasn't been able to even reach the first gym
7:20 Yep that's what I'm talking about
I may not know her number, but I've heard Stacy's mom has apparently got it goin' on
She’s all I want.
And I've waited for so long
So Stacy can’t you see. You are just not the girl for me
Stacy’s mom is only the target of the guy singing the song’s attraction. She’s not implied to be beloved by any of the other boys
Well, sure, but you really have to consider that Stacy's mom has got it going on. There's a lot of appeal there.
@@erberor8007True but counter; it might be wrong, to be in love with Stacys mom. Besides Stacy doesnt seem yo be able to see.
Although this could be part of what Stacy's mom has going on.
I'd argue Jenny has a more well known number
Holy shit, it's so neat to see someone actually documenting this! Been following it on and off for ages and it's very funny how little progress it's made.
I hope Pi can experience the entirety of Pokémon Sapphire one day. It’s a great game and all number sequences deserve to play such a fun game
This is a great video and I ALSO agree that the MartSnack video is one of my favorite videos of ALL time.
Starting fights 20 seconds in?? It's three.
Facts, phantom menace, attack of the clones, and revenge of the sith are all we need
@@lordfangar5671 now there's a hot take!
It’s definitely less than 7.
@@nablamakabama488I'd even go so far as to say it's less than 1
I choose to believe that Stacy's mom is canonically Jenny.
You're genuinely one of the greatest. I have learned a lot and even refined understanding of things from your videos, all while you make them very entertaining. I look forward to watching your channel grow exponentially and wish you the best.
I fucking knew it from.the community post. This is going to be good.
Ive now watched the video, and you casually mentioning "base 13" having more digits shook my understanding of math.
Yeah! It's kinda neat. It's basically when you pretend that "10" is actually 13. So you would count upwards as:
1, 2, 3, 4, 5, 6, 7 ,8, 9, a, b, c, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 1a, 1b, 1c, 20
For example, in base 13, 6*9 = 42
Welcome to modules! More easily, consider a clock. That's an example of base 12 (although it doesn't start with a zero, but anyway).
When you complete a cycle of a clock you start counting again from 1 and adding the previous cycles. It's way easier considering a series of power (but also I kinda suck to explain)
Ty all for the help! What are the applications of this though
@@user-no9rl3wl7x for real world applications, binary, which basically all computers use, is base-2, so there's a lot of use in understanding it. and historically, there were a few other societies and numeral systems that didn't use the decimal system/base-10, so it's helpful to understand if you're studying them
Absolutely loved this video. I did expect this would be related to the pi plays sapphire stream, but I did not expect it to bring in the fire red blind and deaf challenge!
Just found your channel and instantly subscribed. I think this is the perfect channel to fill the hole that was left in my heart after BDG left Polygon, from the editing to the humor it's just (chefs kiss) 👌
I had no idea anyone else alive remembered the "viewers like you, thank you" from PBS. Thanks for unlocking this memory for me
i think every single one of your videos has been an absolute treat to watch
wow amazing video, original and interesting idea with a great execution, entertaining creator, and a bunch of hilarious jokes, loved it
your channel is somehow in the very center of my personal venn diagram of interests, I don’t know how you do it. great vid adef ✌️
I was recommended this video by a viewer of the stream and loved it! Really gave me a new appreciation both for pi and the stream.
I was about to suggest different bases of Pi right as you got to that point in the video
The programmer in me wonders if it'd be possible to abstract out all of Pokemon Sapphire's logic such that an emulator was unnecessary, and we could actually test different sequences exponentially faster, without needing to actually emulate the game first...
I mean, you could rewrite pokemon sapphire to run faster with the the same behavior... most likely because it's unlikely the current code is the single fastest but, the "winning sequence" stream is more hypothetical/entertainment than anything else. Otherwise they would use emulator speed up tools already. Also, as you started trying to code speed golf you could easily introduce a bug that changes the result which would be aweful and there's really no way to test if code produces identical outcomes in all situations for such a complex game.
You can't really remove anything complexity wise from the game though because it could be that pi ends up entering a contest, blending berries, or softlocking the game through some nonsense in pacifalog town😂
I am a mathematician who is currently working a blue collar job and I want you to know unit videos have brought me a lot of joy. My brain craves the math.
Between this, the Flash/Surf/Fly videos, and the Wind Waker tricks explanation, you have earned yourself a sub!
Always liked the shows you hosted on GDQ Hotfix as well.
For some reason it makes me so happy to hear someone else liking MartSnacks Pokemon blind and deaf video so much! It's such a great watch and i can only highly recommend it too!
Also, this video has been just as entertaining as well, awesome job!!
adef.... please believe me when I tell you that youre seriously one of the funniest guys out here. Your content is phenomenal man and your sense of humor is impeccable.
we're slowing seeing it turn from math into pokemon to meth into pokemon
THIS VIDEO WAS EXACTLY THE KIND OF VIDEO I LOVE. THANK YOU
another banger video, really loved the split second "pause to read the silly on screen" moments
Hey I also love checking out winningsequence on occasion to see what's been happening and I'm super happy someone made a video about it! More than normality however, I think the bigger issue is that if you're doing a walk in a 2 dimensional plane (which Pokemon roughly is) with uniformly randomly likelihood of going in any one direction, then you are going to end up back at the beginning very often. I think this explains why the player is basically always at home. Because of this, I think picking a different normal sequence is just as unlikely to win. Great video!
I literally watched the blind and deaf playthrough right before watching your video! Crazy that you mentioned it!
What I find interesting about Champernownes constant is since it is counting up AND the concatenations will stretch multiple orders of magnitude, the digits leading digits in the concatenations should follow Benfords law with 1 appearing about 30% more likely as the leading digit in an infinite string. Thus one should be the most common digit at any point stopped (unless the sample only stopped on the last concatenation of all 9’s which would be increasingly less likely)
But this number is also (and intuitively) proven to be normal with all digits appearing equally.
It would be interesting to see the distribution of these numbers at a random number of digits in the millions. I’m assuming approaches a more even distribution as there are more and more digits. It would be interesting to see how long it takes for numbers distribution to even out.
Infinity is just weird!
I assume it evens out when u hit a number that’s a string of 9s and then afterwards starts biasing towards 1, repeating that cycle with each order of magnitude
@@ffttossenz Yes it would even out only when a string ends with a concatenation of all 9’s, but this will become increasingly rarer. But the digits will become increasingly longer, so the leading digit will have less affect on total distribution. But the second digits will also have a 1 bias as well albeit less and so forth on the others as well.
It would be interesting to see the affect of the Benford’s law with large numbers.
I’m assuming it would deviate towards a more even distribution, BUT it would still skew with 1-9 in decreasing order. It would be interesting to see how quickly. My guess based only on hunch (and I could easily be wrong) is that it would happen slowly.
@@mikeallison5549 i disagree with the longer numbers having diminishing returns, since 1 extra digit means 10 times as many numbers, so even if the number is longer and thus diluting how much a single digit matters, you’re getting significantly more numbers of where the leading digit is a 1, 2, etc. in a row
@@ffttossenz first I really appreciate the discussion (wanted to state so this didn’t look like arguing).
I do agree with you. The leading digit will have a decreasingly effect on the distribution as the number gets larger. BUT The second digit will also have a 1 leaning bias when counting up (but less than the first), but a one leaning bias as well, and so on down the line. So all digits will have a one leaning bias but the bias will decrease for each digit as the number gets larger AND the effect each digit will have on the total distribution will decrease as well.
I believe it will tend to a normal distribution (as it has to as a normal number which this number is) I just think it would be interesting to see how quickly that happens.
My hunch is even at 10,000,000 digits like the example adef pointed out in this video for pi, it would still have a significant skew to 1 and away from 9.
I loved this - thanks for adding some pi knowledge into pi day this year!
Another absolute banger. God I love this channel
I love your content man! Keep it up :)
Been following Pi plays Pokemon for a while now and its so cool to see it talked about
briefly got excited that there was a secret phone reference in "Stacy's Mom", because back in the day there were bands that would take the sequence of tones that the phone keypad played for specific numbers, and build a song around the sequence. smaller acts i think, not any major label releases that i'm aware of off the top of my head, but maybe another commenter will pop in and correct ME on that and we'll have corrective comment recursion. (or i'm wrong about recursion; dont ask me i learned about it from memes in 2005)
Good video. I love how easily he explained everything so complicated.
it was about time I got PBS'd by this channel, love the content and keep it up!
I'm extremely amused by the whole paragraph explaining the Stacey's Mom bit to avoid being eaten alive followed by immediately slathering yourself in virtual bbq sauce and hopping on a lit grill with a comment about Star Wars. XD 10/10
The "blind and deaf" sequence changes with every game action. I find it more likely that given infinite time Pi will softlock itself with no path forward than it would ever win. I wonder how many times it already tried to release its only Pokemon and it couldn't because it's the only one it has. While true softlock requires very specific setup, it's not difficult to find yourself in a situation where progressing by random chance is so impropable that you could say it cannot be done in finite time. For example crossing vast swaths of water to get a missing HM and every battle resets your progres since you realesed all your Pokemon. You have no poke balls, because you never bought them and no money because trainer battles usually ended in defeat.
firered can be solved because the game has no rtc the influences the rng so if you put the same button inputs in frame perfect the same things will happen every time that would only work on sapphire with a dead battery or with real time clock disabled in the emulator
One of my uncles is so into math that on the 14th of every month he holds a "pie day party". Him and his siblings and friends all make and eat pie together. It's pretty wholesome
I just found your channel and absolutely love what you do. I am a life long Pokemon player and a mathematician by trade (I am a probabilist/operator theorist)---your investigations are right up my alley. I think you did a great job discussing normality in this video (you were right to skip some of the finer points of the definition). Time to binge all of your content!
There may be no pokemon blind and deaf follow up by MartSnack, but a smaller creator has since routed a couple more games with the same restrictions in addition to an extremely impressive success of performing the original run on original hardware (much harder than it sounds)!
Yess, those videos are awesome too! Their channel name is Tongy Bacala btw, the Leafgreen and the Johto videos are nice to get into it.
8:00 I find it pretty funny that a bot doing nothing but translating numbers to in game inputs manages to almost perfectly mimic the movement behavior of the NPCs near it
If Pi is infinite...
Next video: "Finding Pokemon Sapphire in Pi!"
Damn, a video that mentions the death of the universe and still manages to stay positive. Props, man!
The best video on WinningSequence yet _and_ a shout-out to MartSnack's video? Well this is just delightful
You could map the extra digit to each direction, and have the direction chosen be something like "if the next and prev digit are both odd go up; both even go down; if the prev if odd and next is even go left; if prev is even and next is odd go right"
i’m so glad he mentioned one of the greatest and truly underrated videos on this platform, that shit is so beyond incredible to me
Ah I see the old "monkey with a typewriter" experiment. Eventually you will have the right combination of numbers to do it. The same way a monkey typing on a typewriter for eternity will be able to write one of Shakespeare's plays word for word.
this is great, I loved the part where you're considering ways to make it more likely to win! I remember doing this myself at some point, ultimately I felt like I'd rather have a different mapping in battles to in the OW, like keep the OW movement the same, but in battles you do maybe 1-4 to pick your moves, 5 to pick pokemon, 6 to pick an item, 7 to run etc.. with some of those maybe being mapped twice?
or map a digit to "repeat last d-pad action". But these ideas, although increasing victory odds, maybe stray from the spirit.
@@TsadiqP that's ultimately why I didn't code a romhack even though Emerald is decompiled now, because I thought it kinda defeated the point if the win got handed to it. Repeat last D-Pad action seems like something that's a little more in the spirit though, you could also have one for buttons. It sounds kinda funny
I didn't get much of the nerdy references or the math behind any of this, but dude this video was awesome. Great stuff
Your videos always make me laugh, thanks for creating such fun and educational videos! Happy pi day!!!
Thanks for all your hard work 🙏
great video! really enjoyed the analyzing part. while i can't support you on patreon i encourage anyone who can and wants to do so, so we can see more of this great content.
either way, have a wonderful day
Going from reading "the intended audience for this don't read" and then hearing "pi is the number of star wars movies there should have been" in an instant was too much
This channel is wildly underrated, hope you blow up someday
Love your videos bro! Keep it up.
I don’t have enough disposable income for the patreon but I left a like because I’ve been enjoying the videos. Keep them up!
I thought I was the only acoustic out here celebrating Pi Day today! This is awesome to see
What I find intriguing is that there are also some ways to softlock yourself in Gen 3 which means there are some sequences which never finish the game and we will never know the probability a random sequence runs into a softlock, or whether pi does
Pokémon blind and deaf challenge mentioned! Glad that video and related ideas are getting some more attention
if only my man had assigned only 1 number to Start button the game would have been beaten already
Feeling blessed by the algorithm finding your channel
This man’s talking has fixed my relationship with my father more than any therapist has💀 (we both enjoy watching ur pokémon vids much love 💜💜💜)
Something that came to mind that I thought was kinda interesting is that, in theory, the sequence could get all the way to the final text box of the game, then do something like press left several billion times in a row before finally pressing A to finish the run. Imagine the frustration if the stream ever did that.
The start button weight is crazy. It's probably a pretty large part of why overworld progress is so stunted.
Its nice to see the evolution of the monkey writing Shakespeare to pi beating pokémon games
My pitch: we take a TAS of the game and then take the total list of inputs and shuffle what digit is assigned to them and keep checking it against the pi string search until that sequence is present. Then from there we just need to have it where whatever it does in the meantime up to that sequence still returns the player to the spot it needs to be for the start of the winning sequence
i just found you and i’m about to binge all of your 10-25 minute videos. though that mewtwo video looks good too
so happy this features one of my favorite games!
Slight correction; a normal number is not just a number where the distribution of all of the digits are equal, that's a necessary but not sufficient condition. A normal number is a number where for any sequence of n numbers the probability for that sequence to occur tends to 1/b^n where b is the base. For instance 0.12345678912... would not be normal because for sequence length 2 we can find a sequence which never occurs such as 32, where a normal number would require that in the limit that occurs 1/100th of the time. Without this caveat the fact that every string can be found somewhere within the number fails (like in the 0.123.. case).
Ah, normal, the word that means "typical and not at all unusual" being used for only the weirdest numbers. Mathematicians are so weird sometimes lol
Thanks for adding this, I was about to make this comment as well but you beat me to it 😊
@@SaotomeLunaif you randomly select a number from the unit interval according to the usual probability distribution, the probability that the number obtained is normal, is one.
That’s why it is called normal, because it is the sort of number you would almost certainly get if you picked at random.
I'm not really a maths guy so I was kinda worried this was a dumb question, a while ago on the live stream I asked if it will ever have the same number over and over again for a long time, I guess that was a more interesting question than I originally thought.
Now imagine we stumble upon a sequence that gets up to the champion, loses, releases all it's mons except for a lv 3 Zigzagoon and goes back to littleroot
The ad in adef stands for admirable social life for sure
another thing that's worth pointing out is that the pokemon games are games where you can make negative progress -- for example, *releasing* your level 80-something sceptile. depending on the situation, this could potentially result in a soft-lock, or at the very least, *many* more digits required to undo those types of mistakes.
There's a fundamental problem with the idea. If you're mapping digits to button presses, and the digits are equally distributed, that means that it's statistically guaranteed that progress will be undone. Take a corridor for example where you need a certain amount of right presses to go through (6 digits). In an infinitely long normal number you'd have as many left presses (4 digits) as right presses (6 digits), so regardless of how many consecutive right presses you manage to get, eventually the string of digits will go through enough left presses to undo the progress you got.
10:54 Actually, this is exactly what is needed for pi to have a chance to succeed. The tile system in Sapphire can be thought of as the integer lattice, and a random walk on an integer lattice with unbiased directional movement is a known recurrent walk. This means that any infinite random walk is guaranteed to return to its starting point infinitely often. This is why pi spends so much time in littleroot town. It HAS to return back to the starting town every now and then because its dpad buttons are equally weighted. If we want to see pi beat the game in our lifetime, we need the walk to be transient, and the easiest way to do this is to introduce a bias in its directional inputs. This will give pi a positive average velocity in the direction of the biased input, but without this it will just waste too much time for us to see it win.
Was kinda dumb to put number on START. The already impossible task is now even more impossible.
I can't believe you baited me into learning about maths using Pokémon.
This was a great video! I hope Matt Parker watched and enjoyed it as well
To think that anyone that has beaten sapphire has used a string of numbers in pi will always be cool
Happy belated Pi Day!! As a complete dork who's got the first 39 digits down, this video made me so so happy!
Imagine if Pi releases the lvl 81 sceptile 😅
Here's my idea on how to redistribute the button weights: use two digits at a time. That way, there's 100 possible inputs instead of just 10, which leaves a lot more room to work with. So instead of only one digit per control pad direction, you can have fifteen or twenty and still have room for plenty of A-button presses and a few B-button and Start Button presses.