The Nineteenth Byte

user165474

00:22

@ASCII-only The state immediately before a circle of all 0s must have all adjacent elements unequal. That means that you have to have 1 0 1 0 1 ..., with an even number of 1s and 0s. But there are an odd number of terms, so you can never have a fully alternating sequence.

ASCII-only

@HyperNeutrino oh yeah forgot i could work backwards

user165474

yup c:

Evil Sheep

00:35

@Christopher you should put bounty then

user165474

I have a +100 bounty on it now.

Newly Featured Questions

10

Q: Life: Created or Evolved?

Life: Created or Evolved? Given the state of a square Game of Life grid, determine whether it could have evolved from any previous state, or could only have been created. That is, identify whether the state is a "Garden of Eden" state. Input A square grid of states, with 1 indicating "alive" a...

user165474

If nobody answers in a week I will be sad

user165474

00:51

Is it possible to award a bounty on your own answer?

quartata

no

user165474

Okay. Hopefully someone answers then

Wheat Wizard

01:06

Yay I just became a second page user. :D

Destructible Lemon

?

New Main Posts

0

Q: Generate triangular signal

Task: Given sample index, x, calculate sample value f(x) of triangular wave, with period of 4 samples and amplitude 1. Offset can be negative and sample value could be either {0, 1, -1}. Test cases: -5 -> -1 -4 -> 0 -3 -> 1 -2 -> 0 -1 -> -1 0 -> 0 1 -> 1 2 -> 0 3 ->

code-golf

Wheat Wizard

@DestructibleLemon I'm on the second page of users sorted by rep

Destructible Lemon

nice I guess

Nathan Merrill

hey, internet experts: I'm looking for an adblocking DNS: any suggestions?

Destructible Lemon

01:10

thats a thing?

Nathan Merrill

yep

far better than any extension, as it works for all devices

Destructible Lemon

why not use adblock?

Nathan Merrill

the only downside is that you can't easily turn it off

Destructible Lemon

^ I was gonna say

Anonymous

@NathanMerrill I've heard good things about Adguard DNS, but I don't have firsthand experience

Nathan Merrill

01:14

that said, if there are sites that prevent you from using their content with adblocker, you can either try to remove their popup with dev tools, try a chrome extension that stops anti-adblocks, or just not use the site

Destructible Lemon

I was thinking of answering the snowball koth with Turtlèd, but then that'd make the koth slow probably

Nathan Merrill

most of the time I realize I don't really want the content

so I just move on

Destructible Lemon

I hate it when I disable my adblock but they keep telling me to turn the adblock off

ATaco

CMC: Given an integer larger than 0, and less then 2^32-1, output the Digital Product. That is, while the amount of base ten digits is larger than 1, get the product of the digits, and repeat.

Destructible Lemon

if only there were a prod function in python...

Wheat Wizard

01:26

@ConorO'Brien Are you still writing the blog post on Brain-Flak?

Destructible Lemon

oh, more blog things are being made!

Christopher

@HyperNeutrino Yay ty

I may even answer

@WheatWizard Page 27 myself. Almost 26

Anonymous

@ATaco Actually, 7 bytes: ⌠♂≈π$⌡Y

Anonymous

Integer input instead of string input is similar: ⌠$♂≈π⌡Y

Anonymous

Fellow Pythonistas: should a function composition decorator like @compose(f) def g(): pass compose the functions as f(g()) or g(f())? In other words, should the function being decorated be the inner or the outer function?

Anonymous

01:41

I'm leaning towards f(g()), but I'm not sure yet

user165474

@DestructibleLemon reduce(__int__.mul, list)

Destructible Lemon

that's not golfy at all

user165474

¯\_(ツ)_/¯ it's the best we can do

user165474

I think

user165474

@ATaco Jelly, 7 bytes: DP$>9$¿

ATaco

01:49

Now, is there an integer that this does not terminate for?

Destructible Lemon

how do I check highest voted answers across the site?

user165474

That becomes a question of whether or not the digital product ever does not decrease.

Anonymous

@DestructibleLemon codegolf.stackexchange.com/search?tab=votes&q=is%3aa

user165474

I conjecture that for any positive integer, the digital product will be strictly less than the integer itself (assuming it has at least 2 digits).

Anonymous

@HyperNeutrino That's trivial to prove. A stronger statement is that for all non-negative integers, N >= digital_sum(N)

user165474

01:56

Well, the thing is, it won't terminate if N == digital_product(N) and also sorry, I meant digital product

Anonymous

(if N < 10, N == digital_sum(N), else N > digital_sum(N))

user165474

sum is easy to prove

Anonymous

Oh digital product

user165474

yeah sorry i typo'd the first time

Anonymous

That should also be easy to prove

Anonymous

01:59

For single-digit numbers, the largest digital product is 9, from N = 9

user165474

Yes.

Anonymous

For double-digit numbers, the largest digital product is 81, from N = 99

Anonymous

For triple-digits, it's 729 from 999

user165474

Yes, but what about the other values? Is it possible for there to be a number that's less than 99 but has a digital product not as much smaller than 81?

Anonymous

The digital product is multiplied by 9 each time, but N is multiplied by a value that converges to 10 from above

user165474

02:01

I see.

Anonymous

So after 9 the two start to diverge, with N growing faster

user165474

I see. But that still doesn't strictly prove that the values in the middle follow the same divergence pattern.

Anonymous

It does, though. digital_product(N) is at most 9**(log10(N) + 1)

user165474

Oh alright I stand corrected :)

user165474

all(map(lambda x:x>reduce(int.__mul__,map(int,list(str(x)))),range(10,1000000))) is True so I think it's probably correct.

Anonymous

02:07

So if N > 9, N > digital_product(N)

Anonymous

Now repeated application is a different story

user165474

Well it will always converge down to a single-digit number because it's always decreasing until it reaches a single-digit number.

Anonymous

@HyperNeutrino That extra list call isn't needed - strs are iterable

user165474

oh lol

user165474

well i'm not golfing but okay thanks :) i should know that for future python golfing

Anonymous

02:10

@HyperNeutrino That's true. So digital products (as well as digital sums) only have fixed points for N < 10

user165474

Yay. Now how about digital exponentiation? :D D:

user165474

(I watch as a giant downvote button descends into the active users list)

user165474

^ sorry random thought of the day

Anonymous

Since exponentiation isn't commutative, an order has to be chosen

user165474

Right-To-Left (exponent tower)

Anonymous

02:12

So digital_exp(123) == 3**2**1?

user165474

Sorry, I meant left-to-right but operation order right-to-left, so digital_exp(123) = (1**2)**3.

Anonymous

Either way, digital exponentiation will grow infinitely large with some N: 9**9 won't converge

user165474

Yeah.

user165474

So no it won't converge.

user165474

But, for which values will it converge to a single-digit number when repeatedly applied?

Anonymous

02:13

Some will (like 200), but a lot won't

user165474

And is there a way to prove that all numbers will either converge fully or diverge infinitely?

user165474

I think most won't.

user165474

But are there any cycles?

Anonymous

I have no idea

Anonymous

Sounds like a question for Math.SE

Dennis

02:13

A single 0 means the result is 1.

Anonymous

I asked this interesting question over there and got a very good answer

Anonymous

Now I'm going to make it into a challenge

Nathan Merrill

KoTH (abstract) idea: Players try to perform tasks which take different amounts of turns. However, credit is only given to the player that finished the task.

perhaps these tasks are only available in certain locations, so the players have to choose which tasks to progress towards

ASCII-only

@NathanMerrill so basically bots have to try to be the ones to finish the task?

Nathan Merrill

yeah

I'm still trying to get a solid definition down

but I think it's an interesting mechanic

perhaps some sort of planning phase where they indicate what they plan on working on, and certain steps are hidden?

oh!

Just give the players 10 credits a turn

they can spend them on a single task

or on different tasks

Oooh...and maybe unused credits get saved, but only at 50% rate

user165474

02:23

Ooh, sounds like an interesting KoTH :D

Nathan Merrill

I'll wait for yours to die down

ASCII-only

I'm assuming moving takes a turn?

Nathan Merrill

er, there's no moving

that was an earlier idea, but I don't like it

ASCII-only

oh okay then

user165474

@NathanMerrill Too many KoTHs at once is not a good idea?

Nathan Merrill

02:24

you just have a queue of tasks, and players can only work on the 3? next ones

@HyperNeutrino not enough of a playerbase

KoTHs need all the submissions they can get

ASCII-only

@HyperNeutrino it's fine but when too many people are focusing on one of them not as many will focus on another one

user165474

Ah, I see. Makes sense.

Nathan Merrill

although, I really need to start posting KoTHs more

ASCII-only

@NathanMerrill How do turns work? Is there an order to the players' turns?

Nathan Merrill

I've written controllers for two of them

ASCII-only

02:26

with this? (btw the markdown is broken)

Nathan Merrill

@ASCII-only yes

you randomize the order

oh it is!

@ASCII-only yeah. I was also helping Splix post his KoTH for a good month or so

it was going to be really cool

or was Splix the name of the game?

I think that was the name of the game

yep, his name was JAtkin

ASCII-only

oh crap my pi implementation was broken D:

feersum

The problem with KOTHs is, I never participate because it takes a significant effort, and I'm afraid it will be wasted by no one else palying.

Nathan Merrill

yeah, but they are fun to think and theorize about

ASCII-only

02:55

Wait what TIL journals published in the future exist

user165474

eh what

ASCII-only

@HyperNeutrino google for example ""food chemistry volume 230" -> 1 september 2017 -> wat

Nathan Merrill

you sure you don't mean Theoretical Inquiries in Law journals?

user165474

Yay time travel

Conor O'Brien

@WheatWizard sort of. finals are just around the bend (I have my french oral exam tomorrow in fact), so it's on hold for the moment

Wheat Wizard

02:59

Ok no rush, good luck on finals!

Conor O'Brien

thanks !

Anonymous

@ASCII-only Second result: "in progress"

Conor O'Brien

@WheatWizard random question, but can brain-flak output through its exit code?

Wheat Wizard

@ConorO'Brien No it only has two exit codes, one for ran and one for syntax error.

Conor O'Brien

hm, ok

Wheat Wizard

03:02

Why do you ask?

I don't really know much about Exit codes.

Conor O'Brien

I was wondering if it would be possible to do this challenge in brain-flak

ASCII-only

@WheatWizard Kernel.exit(code_number)

Wheat Wizard

@ConorO'Brien Yeah definitely not

Conor O'Brien

an exit code is a number that tells how the program exited. In python, this can me sys.exit(number). This number usually has some special meaning, e.g., 2 could mean no such command. it's a nice way for scripts to inspect how a program terminated

you can inspect the exit code on windows with %ERRORLEVEL% and in bash with $?

PhiNotPi

TIL that aircraft registration numbers work somewhat similar to .com domains: you can pay $10/year to reserve a special registration number.

Nathan Merrill

03:04

isn't that the standard registration model?

Wheat Wizard

Yeah Brain-flak only has 2 (maybe 3). I think they are inherited directly from Ruby

Nathan Merrill

you either have one-time register, or renewal-fee registration, no?

PhiNotPi

@HyperNeutrino have you done a run of your controller?

Looks like your question got closed but I kinda still want to know the standings.

Conor O'Brien

@WheatWizard hm, maybe there could be a sort of "extra-flak"? maybe using unicode brackets to do things like exit codes, sleep/wait, and other system-y stuff

Anonymous

@ConorO'Brien PeripheralNervousSystemFlak

Wheat Wizard

03:08

I think @0' was working on something like that that would allow for system calls, but you'd have to ask him

ASCII-only

@Mego You need SpinalCordFlak first IO

Anonymous

@ASCII-only That's the connection layer between the two

ASCII-only

oh true

Conor O'Brien

@WheatWizard was he planning on using that exact name? if not, I think I'd like to take a stab at writing something like that. (after exams of course :P)

PhiNotPi

@NathanMerrill yeah I guess, I was surprised they let people have a choice at all

Nathan Merrill

03:09

oh, you were thinking it was some government-issued thing?

Conor O'Brien

actually I can ask him >_> @0' what are your plans for this sort of extended brain-flak thingy?

Nathan Merrill

yeah, that would make sense as well

Wheat Wizard

@ConorO'Brien Don't think so, go ahead. He was going to allow I think for arbitrary system calls.

Nathan Merrill

what's the game where you pick up sticks and you want to/don't want to take the last one?

ah, found it, Nim!

Wheat Wizard

I'm designing a 2D Esolang that can be embedded on various topological surfaces.

There's a gif of it running on the surface of a Klein bottle.

ASCII-only

03:17

@WheatWizard nice

but feature-request make it clear the screen with ansi code pls tyvm

Wheat Wizard

Yeah I hope to do that soon. :)

ASCII-only

@WheatWizard print '\033[2J\033[0;0H'

Wheat Wizard

Oh I was going to get it to run in place, not just clear the screen, but I suppose thats an improvement

user165474

@PhiNotPi Oh R.I.P the challenge, but no I haven't finished the run yet. I've started, and it looks like Aggressor can't be beat except by the ugly duckling, but I still need to update your code and re-run. I've only completed all rounds involving the Aggressor.

user165474

Dupe, right?

PhiNotPi

03:24

@HyperNeutrino yeah.

user165474

Okay

user165474

R.I.P.

user165474

I guess Nathan can start on his KoTH then

PhiNotPi

I voted to reopen because it thought it was cool ;-;

I don't expect it to be reopened though

ASCII-only

@WheatWizard run in place?

user165474

03:26

thanks :D but yeah I don't expect it to be reopened because dupes typically aren't reopened.

ASCII-only

that's probably better for this because you only need to redraw two characters per frame

Wheat Wizard

@ASCII-only I was going to use ncurses to make it run without clogging up the terminal.

ASCII-only

@WheatWizard oh okay

PhiNotPi

@HyperNeutrino I think I fixed my entry earlier (because I had written my own controller which was different than how it was supposed to be), so I think my entry works, if it doesn't no point in fixing it now.

ASCII-only

@WheatWizard btw +1 for agnoster and edgeless terminal

Wheat Wizard

03:32

@ASCII-only Agnoster?

ASCII-only

@WheatWizard idk, your terminal looks like it uses the zsh theme agonster

Wheat Wizard

Nah, I'm using the fish theme Shellder

I am using borderless though.

ASCII-only

@WheatWizard do you think fish is better than zsh (btw looked it up, oh-my-fish is pretty much a port of oh-my-zsh, shellder is a port of agnoster)

Wheat Wizard

I like fish a lot, I haven't used zsh though.

TuxCopter

<< NaN === NaN
>> false

ಠ_ಠ

Dennis

03:43

That's required by the standard.

Anonymous

@TuxCopter Blame IEEE 754 for that one

Anonymous

All comparisons involving NaN are false

Dennis

Well, not all.

< NaN !== NaN
> true

user165474

lol

TuxCopter

Floating point numbers are confusing

Wheat Wizard

03:45

Since a += b is the same as a = a + b, a === b should be the same as a = a == b.

Dennis

I like the proposal with a <= b better.

Wheat Wizard

And a==== should be the same as a===1 because a++ is the same as a+=1

Dennis

twitches

Wheat Wizard

@Dennis What proposal is that a<=b-> a=a<b?

Dennis

Yes.

Wheat Wizard

03:48

I need to make a language where every operator has these versions

user165474

no

user165474

:)

ASCII-only

@WheatWizard *every binary operator

user165474

CMC: Make the most counter-intuitive esolang ever

TuxCopter

@HyperNeutrino Malbolge

user165474

03:49

lol

user165474

anyway I have to get up early tomorrow morning so I'm going to bed now. Good (night|morning|afternoon|evening) everyone! o/ [UTC-4:00]

ASCII-only

@TuxCopter it's not counter-intuitive though

TuxCopter

@ASCII-only In what way is 2783gy7w89q9j4#2373828@ not counterintuitive

ASCII-only

@TuxCopter it's hard to understand but not counterintuitive

Wheat Wizard

Counterintuitive should do exactly the opposite of what you expect not just something you don't expect

ASCII-only

03:51

@WheatWizard Precisely. (Plus Malbolge doesn't do something you don't expect, you don't even know what to expect)

Dennis

But if you know the language is counter-intuitive, wouldn't it have to do exactly what you expect in order to do the opposite of what you expect?

5

Wheat Wizard

You make half the stuff do exactly what you would normally expect and half do the exact opposite.

Anonymous

@WheatWizard Nah, half is too predictable. Have e% of the stuff work as expected

Anonymous

@HyperNeutrino HQ9+. You think it trivially solves HW, 99BB, and quines, but instead it gets you a bajillion downvotes.

7

ASCII-only

@Mego 2.718281828%?

Wheat Wizard

03:55

We don't consider Q a quine even though it prints its source, you can't get much more counter-intuitive than that.

ATaco

We don't consider Q a quine because it reads it's own source.

And the Emoji button's almost complete!

Wheat Wizard

Yeah, but its pretty amusing that the Q stands for Quine when it actually makes the program in question not a quite.

Anonymous

@ATaco Oh god please no

11

ATaco

😃

TuxCopter

@ATaco no no no no

We're a civilized place, not Facebook

ATaco

04:01

Don't worry, it will work everywhere.

Emoji Button!

TuxCopter

NO

@ATaco When searching an emoji empty categories are visible

Making them invisible would be better

ATaco

Yeah, Probably a good idea. I just need to work out how to do that.

TuxCopter

x.style.display = "none" ?

ATaco

Categories aren't uniquely defined... Yet...

Also, Regex is supported in the search, by accident.

TuxCopter

oh that's cool

ASCII-only

04:15

@ATaco 0/10

i'm assuming you're using string.match

ATaco

pattern.test

Precompiled because it was the fastest method.

Arjun

🙋Hi!

TuxCopter

😒 Now because of ATaco TN🅱️ will be flooded with emojis

ATaco

I simply created the tool, I am not to blame for the use.

Anonymous

@ATaco You could have just not created the tool...

TuxCopter

04:18

⬆️

ATaco

But I was curious if I could.

Anonymous

Excessive use of emojis falls under disruptive behavior, in case it isn't clear.

Arjun

TuxCopter, I used my tablet's keyboard for the Emoji, not ATaco's tool. I am on Android.

Anonymous

@ATaco That's how you get killed by dinosaurs

ASCII-only

@ATaco ... Of course you can

Arjun

04:20

Why are people against of Emojis? 😱

Emojis are cool! Cool as this drink : 🍺

TuxCopter

Yes but emojis are normies

and that's not good

ATaco

Emoji can be useful at replacing expressions we may otherwise pull in face to face conversation, something not necessarily achievable in pure text chat.

Arjun

True

Wheat Wizard

CMC: ljust a list in python.

ATaco

🐳 Also whales.

TuxCopter

04:23

@ATaco And people in business suit levitating >_>

ATaco

🕴

Arjun

And 💩, of course!

TuxCopter

Like who tought 🕴 would be a useful addition to Unicode

ASCII-only

@WheatWizard as in iterate and ljust? or pad list?

Wheat Wizard

Just pad

Arjun

04:24

Device batter draining. Going to charge 🔌

ASCII-only

@WheatWizard like this? lambda l,n,f=' ':l+[f]*(n-len(l))

Wheat Wizard

Yeah, I wonder if there is a golfier way to do it, thats what I cam up with as well

Arjun

Can someone help me with this? I am trying to implement Game of Life, but getting an error.

ASCII-only

@Arjun use this instead :P

Arjun

@ASCII-only Thanks for that! But I would like to resolve the error that I am getting. Can't figure out why it's happening! If you know JS, could you help me? 🙏

ASCII-only

04:37

@Arjun ~~I live and breathe JS~~ no wait i'm not at that level yet, Downgoat and Conor are

@Arjun yeah ik i'm debugging atm

@Arjun setTimeout("")?

Arjun

@ASCII-only For waiting a second between ticks.

ASCII-only

@Arjun um that doesn't work like how you think it does

Arjun

@ASCII-only ?

ASCII-only

@Arjun setTimeout doesn't block the running of the function

so the while loop is constantly being executed = bad

Arjun

@ASCII-only What should I do then?

ASCII-only

04:47

@Arjun i'm working on it, will post link when finished if that's ok with you

@Arjun some notes: use classList methods instead of className hacks, use === instead of ==

Arjun

@ASCII-only Okay. In the meantime I will implement methods described here.

ASCII-only

@Arjun Don't

Arjun

@ASCII-only I will improve the quality of code (and even make the code object Oriented) once I get it working.

ASCII-only

I've already changed it to use setInterval which is the sane way to do it

@Arjun wait what that's what i've been doing for like the past 5 minutes :(

Arjun

Sorry :P

ASCII-only

05:04

@Arjun oh one other thing, tempCells = cells won't work because the elements aren't copied

@Arjun found your problem: in your j loop you increment i

Arjun

@ASCII-only Nah, that's fixed. (Probably the link gives you older code, this is the latest code) The problem is that when the value of j becomes 9, isAlive function is called with isAlive(i-1,j+1) which causes error. I will fix it later myself, since my device's battery is only 4% left. Thanks for you help, though!

That is why the error occurred in the tenth iteration.

ASCII-only

@Arjun I'll fix it + send a link because I've already done a lot anyway

Arjun

Okay, then!

Dennis

05:22

@Arjun Because they're irritating and get everywhere.

ASCII-only

@Arjun also you can't do chained comparisons in JS (i.e. 4 > count > 1 doesn't work as you'd expect)

ATaco

That in particular does (4>count)>1 which is (false or true)>1 which will always output false

Wheat Wizard

Here is the topological language I was hinting at earlier. I have just finished the first working version and would appreciate any feed back.

Arjun

@ASCII-only Fixed (ie it does not produce; but does not work as expected)! And the time between iterations part is still not working properly. But I don't have time to debug it now (2%). The code is currently very messy, I will make it better later! If you fix it, just a drop a link as you said. I will come back some hours later. So kind of you to help! (1%) Thank You! Bye! (0%) Gone......

ASCII-only

@Arjun ;_; forgot to save rip me have to do it all over again

Arjun

05:30

The "Fixed" link that I have given you is the latest code.

@ASCII-only Don't worry, I'll fix it later! No problem! Thanks for your help!

ASCII-only

@Arjun doesn't matter, ~~i'll do anything to stop seeing pauseComp ever again~~ i can redo it, it isn't that hard

Arjun

Oh okay. Thanks, again!

Bye!

Will come back in a few hours.

ASCII-only

@Arjun bye

ASCII-only

05:45

@WheatWizard 0/10 "Klein" and "various topologocal surfaces" don't make sense together

Wheat Wizard

It was intended to just be Klein bottles when I started out but then I figured why not add as many as I can

ASCII-only

@WheatWizard pls rename

Wheat Wizard

Do you have any suggestions?

ASCII-only

also "topologocal" 0/10 typo

@WheatWizard Manifold maybe? Manyfold? :P

Or else use Topology or some derived word/word containing Topology

Wheat Wizard

Object Non-Orientable Programming

ASCII-only

05:49

Yes this 10/10

Wheat Wizard

Except most of the surfaces are orientable.

ATaco

06:11

Hey you know what would be pretty cool? PPCG Graduating.

ASCII-only

@ATaco It already has

@Arjun jsbin.com/moyovej/edit?js,console,output

Qwerp-Derp

@ASCII-only I need more help with JS

@ATaco LOL, funny joke

So I have a file foo.js with a class called Bar

How do I do something like this in another file (e.g. main.js)?

/* insert require code here */
test = new Bar();

As opposed to

var foo = require("./foo.js");
test = new foo.Bar();

So instead of foo.Bar() I just want Bar()

ATaco

06:27

var Bar = require("./foo.js").Bar

ASCII-only

@Qwerp-Derp ok

Qwerp-Derp

@ASCII-only See text below my ping

ASCII-only

@Qwerp-Derp What browser/node version

Qwerp-Derp

@ATaco Thanks, it works!

ASCII-only

basically: can you use fancy new ES6 stuff

if you don't mind using ES6,const { Bar } = require("./foo.js") looks cleaner IMO

ATaco

06:45

If you're using node.js, you can add to your package modules.exports=Bar And then you can call it with var Bar = require("./foo.js"); new Bar()

ASCII-only

@ATaco ... 0/10 bad idea

ATaco

Never code to arbitrary standards! Viva la revolution!

ATaco

07:18

At the rate Jalapeño's going, it might end up being a competitive language.

numbermaniac

07:31

if a polyglot answer has been provided because the answer is identical in multiple languages, that means there shouldn't be answers for each of the languages then, right?

codegolf.stackexchange.com/a/106187/65532 the comment in this question points out that there's already a polyglot answer of this

ASCII-only

@numbermaniac There should

numbermaniac

there should be one for each language, you mean?

Mayube

07:46

@numbermaniac given the polyglot answer is marked as community wiki and clearly states "Edit to add other languages for which this is a valid answer", I don't think those languages should have their own answer. Plus PidgeonScript has been added to the community wiki answer, which means the standalone PidgeonScript answer is now a duplicate

numbermaniac

07:57

alright, thanks 👍

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