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12:03 AM
0
Q: Why can I document my copy-pasted C# StackOverflow code with a URL without a comment?

Tim EricksonI found this great C# code that solves my exact problem. So I copy/paste it in and document my "work" by pasting the URL that so inspired me: THIS WORKS!!! public class Program { public static void Main(string[] args) { https://helloworldcollection.github.io/#C%E2%99%AF ...

 
@NewMainPosts ಠ_ಠ I read the title, chose the wrong VTC reason, then read the rest of the question
 
You should really read the question first
 
@PhiNotPi Might be miss-remembering, site analytics says we have about the same activity level as in spring 2016.
 
you got reasonably close tho
 
Idea: someone take the site analytics data here and run a fourier transform on it.
 
 
1 hour later…
1:31 AM
@NewMainPosts ...
 
fun fact: if you order the first N^2 natural numbers in an NxN matrix, the determinant of that matrix is 0, for N > 2
 
I've tested that before, ^
 
CMC: given N, output the matrix described ^^
 
@ConorO'Brien This makes sense once I think about it.
 
(you may choose any offset, e.g., natural numbers - 1)
@PhiNotPi Does it? I couldn't wrap my head around why it works only for N > 2.
(other than verification of course :P)
 
1:42 AM
Rs probably?
If you understand it as the volume of the nD volume, it's easy to understand.
Because they're all collinear...
 
of the what now
 
@Dennis Yay thanks! :D
 
No, need ²Rs.
 
@ConorO'Brien Here's the way I think about it: look at the differences between the rows: all rows have the same difference from the previous one to the next one. And it's important to remember a matrix being the coefficients to a set of linear equations.
If I do the multiplication of M*a = b, the difference between rows in the column vector b is also constant.
Once you know the first 2 values of b, then the rest are determined.
This means that the systems of linear equations aren't all independent, so the matrix must have determinant of 0.
 
Anonymous
@ConorO'Brien Each row after the second can be written as r_i = N*r_1 + r_(i-1) (where r_1 is the first row). Thus, the rows are not linearly independent, so the determinant is 0. It works out for the N = 2 case because there are only two rows, and a 2x2 matrix is linearly independent iff one row or column is not a multiple of the other.
 
Anonymous
1:59 AM
In general: a matrix has determinant zero if the rows (or columns) are not linearly independent. A set of rows (or columns) is not linearly independent if one row (or column) can be written as a linear combination (adding multiples) of the others.
 
I leave TNB 10 hours ago, as Mego is explaining matricies. I come back, and Mego is still explaining matrices :P
 
Anonymous
This is my life
2
 
@Mego That doesn't seem right as an explanation. Consider the 3x3 matrix: [[1,2,3],[4,5,6],[7,8,9]]. You're saying that [7,8,9]=3*[1,2,3]+[4,5,6]=[7,11,15]
 
And it has zero determinant.
 
Otoh, from what I can tell, r_i=2*r_(i-1)-r_(i-2)
 
2:02 AM
...? 2*(4,5,6) - (1,2,3) = (7,8,9).
 
Which, now that I think about it, makes perfect sense, as r_(i-1)=r_(i-2)+N
So, yes, the determinant is 0 for any N>2
 
Anonymous
@mudkip201 Err, yeah, I messed up my math
 
Anonymous
Story of my life
 
lol
 
Anonymous
@PhiNotPi I did it but I realized that I know so little about Fourier transforms and frequency domains that I don't know what I'm looking at
 
2:06 AM
What are the results?
 
Anonymous
@PhiNotPi Incomprehensible and long (since I did all activity since the start of the public beta)
 
Anonymous
The analytics page has a CSV download link, and it's easy to plug the information into the mathematical toolset of your choice
 
@Mego Basically, take the most recent 2^n days of data (for as big n as you wish), and plot the absolute values of the complex numbers you get out.
The complex values are in order from lowest to highest frequency (linear scale).
You might need to get rid of the first data point in the fourier transform to get a nice graph.
 
Anonymous
I'll let you do it, since you know what you're doing :)
 
2:14 AM
I'll do it sometime later.
 
 
1 hour later…
3:37 AM
Oracle is having the internet decide what to rename Java SE to.
Java McJavaface was explicitly banned.
 
This is the official poll.
 
AvajMcAvajface
 
Also those two choices are pretty bad.
"Jakarta EE" is okay, "Enterprise Profile" is literally meaningless.
 
Maybe rename it to "Ol' Musky - Literally nobody calls me Java (tm)."
 
You
Hi
 
3:42 AM
Also, are we sure that Indonesia likes having so many programming languages named after it?
 
Anonymous
"Proud to be the Third-Worst Programming Language"
 
You
Call it 'Sea'
'Cause, you know
The Java Sea (Indonesian: Laut Jawa) is an extensive shallow sea on the Sunda Shelf. It lies between the Indonesian islands of Borneo to the north, Java to the south, Sumatra to the west, and Sulawesi to the east. Karimata Strait to its northwest links it to the South China Sea. == Geography == The Java Sea covers the southern section of the 1,790,000 km2 (690,000 sq mi) Sunda Shelf. A shallow sea, it has a mean depth of 46 m (151 ft). It measures about 1,600 km (990 mi) east-west by 380 km (240 mi) north-south and occupies a total surface area of 320,000 km2 (120,000 sq mi). It formed as...
:P
 
Oooh I think it might be possible to add Element to the giant polyglot challenge.
I'd have to think of something, but as of right now the polyglot code produces no output or errors when run in Element.
Actually maybe not.
Maybe the interpreter just like silently failing.
 
4:00 AM
About this challenge...
I didn't find any particular one, but it can be considered a dupe of another challenge.
What should I do with it?
 
Most kolmogorov complexity challenges are closed as dupes of codegolf.stackexchange.com/questions/6043/…
 
... this one is dict lookup.
from string to string.
 
I don't really think going from an array (the Pokemon challenge) to a dict will change much.
 
4:22 AM
Something like, "output the first word with the given substring in the following dictionary."
But still no, doubt it.
 
You
4:39 AM
I'm making a challenge about Roman pronunciation of Korean
and its PAINFUL
I didn't even have lunch yet
and its 1:40 here
 
4:51 AM
@Mego I know you mean PHP and JS, but I feel like SQL doesn't get enough hate
Also, VB.NET is definitely worse.
 
Anonymous
5:06 AM
@DLosc TIO when :P
 
@DLosc I was only counting langs people actually use
 
Anonymous
@Pavel I appreciate the fact that you knew exactly which two I meant :)
 
Anonymous
@DLosc That explains so much about the VA
 
@Mego Right behind Python and CoffeeScript.
 
5:18 AM
Also several PPCG users, apparently. If you need a program to save the world in 30 characters using a really old computer, MUMPS is the right tool for the job.
@PhiNotPi Hey now. :) It's okay if you don't like Python, but how is Python worse than PHP?
 
PHP is #0 on the list.
 
Ah, okay. ^_^
 
Anonymous
I just don't understand how people intentionally made something so terrible
 
... Which language are you referring to?
 
CMC&R: Find 2-10 bytes that output a sequence from OEIS in any esolang, then shuffle them however you want, posting with the language.. Robbers, respond with the OEIS.
 
5:25 AM
... Chat mini cops-and-robbers?
 
Apparently so.
 
OEIS has so many sequences, any permutation that output a sequence is likely to be on OEIS.
 
What would it take to get a PPCG-made language onto the TIOBE list?
 
1
Q: Romanize Korean

lol Yes, It's basically You're a Romanizer, Baby, but harder. like, way harder. Learning Korean is HARD. at least for a person outside Asia. But they at least have the chance to learn, right? What you must do You will be given a Korean Statement. For example, 안녕하세요. You must convert the input ...

 
@user202729 So that's part of the challenge, then: finding bytes that can only be reshuffled into the intended program.
 
5:27 AM
And what's the list?
 
Lol why can't I edit that now, I want to add "you must also post a subset of 4 of the first 10 results"
Any subset of the first 10
 
Language popularity? Where is the about page? / Nevermind, found it: tiobe.com/tiobe-index/programming-languages-definition
 
@PhiNotPi It would have to be really good for some application that becomes suddenly popular.
 
5:30 AM
If everyone on PPCG write "Jelly programming language" instead of "Jelly" in the title it would had been much more results.
 
[tag:status-declined]
Too many bytes
 
Also, we need a Wikipedia entry.
 
@DLosc But if PHP did it why can't we?
 
And about 3470 more hits.
 
I think we could do it. We just need to be dedicated.
 
5:34 AM
I think we already have more than 3470 answers in Jelly.
And some of them are questions.
... just need 200 more. That can be pastebin spam.
And some edit to add the substring "Jelly programming" to them. (because the query format)
 
Maybe we could promote our language by making like a cheaper version of the RaspPi, distributing them to third-world countries to encourage people to learn programming, but with the twist that it runs on Brain-Flak.
Or maybe make a phone called the Lexip which runs on a CJam-based operating system.
Or maybe I could make a considerable donation to a politician to add Pyth to my state's education standards.
 
@PhiNotPi s/Brain-Flak/Cogol/
 
As you can tell, these are all very economical.
Well, maybe the phone idea will pay for itself.
 
Given that (most) students can't understand what we considered trivial to understand, they will disagree.
 
@PhiNotPi Well, evidently, you don't have to be perfect to become popular. (And PHP underscores my point: it was a tool for website programming at a time when the web was the Next Big Thing. Of course tons of people jumped on the bandwagon.)
 
6:03 AM
I got lazy evaluation working in Appleseed, and it's beautiful :D
asl> (1to 10)
(1 2 3 4 5 6 7 8 9 10)
asl> (1to)
(1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 ...)
asl> (map square (1to))
(1 4 9 16 25 36 49 64 81 100 121 144 169 196 225 256 289 324 361 400 441 ...)
asl> (filter even? (1to))
(2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32 34 36 38 40 42 ...)
 
What's Appleseed?
 
Anonymous
@PhiNotPi Some dude name Johnny planted them all over America
 
@PhiNotPi It's tinylisp, but extended into a (somewhat) practical language. Just a seedling at the moment.
@Mego Well, the northern part of the Ohio River valley, anyway.
 
6:20 AM
in talk.tryitonline.net, 1 min ago, by Pavel
@Dennis Can you add MUMPS?
 
Hahahaha
 
6:32 AM
I'm surprised no one's talking about the Olympics
 
6:45 AM
I'm tabbing between TNB and online biochem notes.
 
6:57 AM
TIL there's a lot more BASIC dialects than I thought: en.wikipedia.org/wiki/List_of_BASIC_dialects
 
Wow, that's more than I thought too.
 
Are there any PPCG languages that have a wikipedia article?
 
BrainFlak was mentioned on Wikipedia for a while before being edited out
 
7:20 AM
@DJMcMayhem D: why
@PhiNotPi Who even studies on Fridays just cram everything in on Sunday
 
So, I've got a naming dilemma. I wrote two different functions for the Appleseed library that do partial application in different ways, and I'm not sure what's the best way to disambiguate their names. (Initially, I called one of them curry, until I learned that currying != partial application.)
One of them works with fixed-arity functions and allows you to fix values for arbitrary parameters: (partial mod ? 10) returns a function that takes its argument mod 10.
The other only allows you to fix values for the argument(s) at the beginning of the arglist, but it can work with variadic functions too: (partial' - n 1) returns a function that computes n minus 1 minus all its args.
Any thoughts on naming these two? (Besides partial and partial', which isn't really helpful in distinguishing them.)
 
7:37 AM
@DLosc the second one basically acts as a special case of the first unless there are varargs involved, right? so what about the name varpartial (capitalised however the convention is).
or partialvararg
 
@Potato44 That's an idea--I'd probably call it variadic-partial.
I think I like that. It implies that 1) the non-variadic partial is the one you should usually use, all things being equal; 2) you can & should use variadic-partial with variadic functions; 3) variadic-partial returns a variadic function, while partial returns a fixed-arity function. And all of those are statements I agree with.
Thanks!
 
8:26 AM
When are the rewards for "Best of PPCG 2017" awarded?
Did we create that chatroom already?
 
 
2 hours later…
10:23 AM
Perhaps we should pin ^?
 
 
2 hours later…
12:13 PM
So, back when I came up with Hexagony, I noticed that there are no Fungeoids on either hexagonal or triangular grids, and ended up picking hexagons essentially at random. I kinda always wanted to do both. More than two years later, I can finally present Wumpus the first (I believe) 2D language on a triangular grid.
3
 
12:24 PM
... I used to think about non-Euclidean surfaces, but faced a problem of either being impossible to imagine (hyperbolic ones) or being finite.
... is this one finite? -> no. / Need some time to read myself before asking.
 
@MartinEnder I believe that the first 2D language on a triangular grid was Triangular by MDXF
 
if that's the one I'm thinking about, the grid is actually just a square grid with a rhombic layout
 
@MartinEnder Looking at the github now, that appears to be the case, or at least something similar to that.
 
could you post the link to it?
 
thanks
ah right, yeah that's a rhombic (i.e. square) grid, whose shape is restricted to a triangle
 
@MartinEnder The strafing kinda reminds me of how to perform loops in YABALL
 
Oh yeah, that's vaguely similar. I first wanted to add a strafing command to a 2D language after Sp3000 created Slip (where slipping is essentially strafing) and then figured it might be interesting to combine it with the triangular grid, where the current cell naturally determines which way to sidestep.
 
 
2 hours later…
3:11 PM
@Pavel it hasn't gotten to the good events / doesn't have htem
see: no golfing (code or otherwise), biathlon, bobsled
 
3:21 PM
Cast your vote for “Best of PPCG 2017”! is still on the featured tab...
 
so...when do we award the bounties?
(cc @Pavel)
 
but... when do we award them is the question, not where :P
damn you markdown breaking next to dots
 
I have a question. In python, when i am writing a function using def(), suppose i want to have a parameter that has a default value if that parameter is not passed. How do i do that?
 
Use =.
(def f(n=1):)
 
3:25 PM
def f(name=default)
 
But please don't...
 
=, but those only go after the ones which don't have a default value
 
Why not? @user202729
 
you need at least 3 letters to ping :P
 
22 hours ago, by dzaima
I find it interesting how people here instantly ask questions and don't bother searching at all :p
 
3:27 PM
Was that for me?
 
@EriktheOutgolfer But since we have a dedicated and pinned chat room for the Best Of, maybe we should post these questions over there.
 
it's a chat room, no need to search as long as you don't practice help vampirism :P
@Dennis ah, but I can't cc Pavel (owner of Best Of PPCG 2017) there
 
I do hope he'll check the chat room eventually.
 
(hm, maybe I should've invited Pavel there instead, but it's easier to just use TNB instead :P)
 
... I'm just feel too bad for that, I downvote more than 40 SO questions a day.
 
3:33 PM
as long as your votes are honest you shouldn't feel bad
 
@MartinEnder how'd you make the diagrams for wumpus?
 
No, I meant I feel bad for seeing a no-effort question.
 
@EriktheOutgolfer I'll superping him if you do
 
Probably by drawing a icosahedron.
 
invites already give a notification though ;)
 
3:36 PM
@EriktheOutgolfer oh, do they?
I didn't know they left a main site one
 
at least IIRC
 
@Riker Mathematica
 
Today I'm gonna try to answer another unanswered question: codegolf.stackexchange.com/questions/115579/… from ten months ago. The spec took a little while to understand, but I think I got it now and I think it's gonna be easy to brute-force optimality. Also pls nobody snipe me.
 
... Oh, I had read that question, but didn't want to understand the problem statement.
 
@PhiNotPi you like answering long questions don't you :P
 
3:58 PM
I'm gonna see if I can have it all done within an hour.
 
4:24 PM
I'll take more than an hour... I'm making a whole ASCII-art display for it.
 
4:39 PM
... I never implemented left biased binary tree in C++, and now I'm trying to implement it in Jelly.
 
what
why
 
we don't know
 
5:18 PM
@MartinEnder why do your languages use the weirdest ways of storing things
hexagony uses a weird hexagon thing and now wumpus uses an isocohedron :/
 
...because they're intended to agonize?
Hexagon
   agony
--------
Hexagony
 
@Riker german isn't any better than english :D
 
@Riker Maybe you just chose a biased subset...
 
5:37 PM
@flawr what the hell...
 
@trichoplax that may be true
though I don't think brian and chuck is any better
@DJMcMayhem screenshot? reddit blocked atm, too lazy to VPN
@EriktheOutgolfer wumpus != agony :p
 
@Riker The opposite of 'umfahren' is 'umfahren'
 
The opposite of 'umfahren' (run something over) is 'umfahren' (drive around something)
 
Buffalo buffalo Buffalo buffalo umfahren umfahren Buffalo buffalo.
2
 
5:42 PM
@Dennis I'm not sure that's valid with the capital B's where you've chosen them
but I am definitely not going to try to parse it, on principle
 
Are you sure? I copied it from Wikipedia and replaced the two verbs.
 
@Dennis I already said I'm not
 
Fair point. :P
 
@Riker I guess because it would be boring if this was just "Befunge on a triangular grid"
At least this time, the weird memory model is pretty much optional.
 
@Dennis Yeah that's correct
Strangely enough
 
5:47 PM
The language is still Turing complete if you ignore the icosahedron. The only thing you lose is randomness.
@NieDzejkob at least they're pronounced differently.
 
@MartinEnder this seems like a design flaw ;)
 
@MartinEnder what if you develop an actually adversarial memory model. Maybe require PoW to read, or something.
 
I am quite sure it is intended.
in Best of PPCG 2017, 21 mins ago, by Mr. Xcoder
Also, how exactly do we reward challenges?
 
@EricTressler prisoner of war?
 
proof of work
 
5:51 PM
o_o did SE add typing indicator or what?
 
No, I think you have a userscript.
 
!!!
Ahh
Didn't thought about it
Forgot I installed some
 
More specifically, I Am Typing. It only shows those that also have it installed BTW
 
I think so
 
@EricTressler I'm sure that would be a lot of fun to work with :P
@NieDzejkob my initial ideas for the memory model were much worse. ;) In the end I decided I'd rather have a language where people can play around with control flow on a triangular grid without having to wrap their head around icosahedral symmetry groups at the same time.
 
6:09 PM
|( 1)  2  -a |( 1)  2  -a
|(+)>-       |(+)>-
|(>)+        |(>)+
+------------+------------
|( 1)  2  -a |( 1)  2  -a
|(+)>-       |(+)>-
|(>)+        |(>)+
+------------+------------
^ ASCII art for 2D BF
note: doesn't actually run yet
 
6:20 PM
About weird languages... one of mine looks like this: rEEEEEeee reEEEEeEE ReeeEeEee REeE REeE reEEEeeeE reEeeeeee reEeeeEeE rEEeeEeeE reEeEeeeE reEeeEEEe REeE reEeEEEee reEeeeeEE
And this is Hello, World!
I think that Hexagony is more clear about what it does xD
 
Beginning on February 12th is a weeklong traditional Russian holiday called Масленица which is entirely dedicated to eating pancakes/crepes.
We invite everyone else to participate also.
 
6:39 PM
That sounds so tasty.
 
Ikr it's great
 
You definitely need a lot of pancakes and crepes to withstand Russian winter :-)
 
6:56 PM
I was going to make a joke about cracking but I realized it's a derogatory term :|
 
@cairdcoinheringaahing What do you think of this modified snippet, in which I added a statistics section?
 
@NieDzejkob :O It is absolutely wonderful.
 
@dzaima Yes. I misread the question.
 
7:12 PM
@LuisMendo It comes before the great fast before Easter.
But no one fasts anymore, so it's just pancake enjoyment now.
 
@NieDzejkob neat, could you also add the actual number next to the bar?
 
@NieDzejkob solarized?
 
What would be the best word to describe the currently selected stack?
 
7:27 PM
@labela--gotoa active, perhaps?
As in, the active stack
 
That could be it.
But idk really.
The stack is selected by prefixing the command.
But maybe you are right
 
|( 1)  0   0 |  1   1 ( 0)|  1   3 ( 1)
|(>)+        |>(+)        |>+
|+(>)        |+(>)        |+(>)
+------------+------------+------------
|( 0)  0   0 |  0 ( 0)  0 |  0 ( 1)  0
|(>)+        |>(+)        |>+
|(+)>        |(+)>        |(+)>
+------------+------------+------------
I think there's an issue in OP's diagram for the 2D BF challenge.
The upper-right cell doesn't match.
But my results line up with the other examples he's provided, so I'm going with it.
 
7:50 PM
@PhiNotPi which challenge
 
@betseg This one
(I think)
 
Yeah that one
 
8:05 PM
@betseg Yup. It's even linked at the bottom
 
im blind :D
@NieDzejkob you can use <summary> and <details> instead of javascript for collapsing sections? supported by chrome, firefox and safari desktop but not safari mobile or IE/Edge... doesnt seem like a good idea after typing that...
 
8:28 PM
ಠ_ಠ I use TIO so much that I tend to prepend https://tio.run/# to everything. I literally just typed https://tio.run/#github
10
 
@Mr.Xcoder brb making a language called github
 
You'd have some issues naming your repo :P
CMP: What is the best background color for a documentation-related HTML page?
 
@Mr.Xcoder white.
or if you desire to be "out of the box": chartreuse with a mahogony flashing marquee title
failing that, make your website require flash and silverlight to open but actually use neither
 
I currently have a very, very light shade of grey.
 
Something darkish. White hurts my eyes.
 
8:38 PM
that is true, dark themes are nice
 
I prefer dark themes too.
 
@Mr.Xcoder 0/10 omit the last slash for -1 byte
 
How about #333333?
No that's too dark
 
@Nitrodon I fixed the bug. Sorry about the delay.
 
Now I chose the color scheme but dunno what font to use :/
 
8:52 PM
Roboto, Ubuntu, open sans
 
Q: Should the font be monospace?
@Mr.Xcoder Yes.
 
For documentation?
 
Yup
It will include code and stuff
 
I prefer light themes
haha
 
@Mr.Xcoder Which page is all this about?
 
8:53 PM
@Mr.Xcoder The code should be monospace but everything else should just be notma.
 
@WheatWizard Agreed.
@Adám I am planning to make some docs for my new language, Physica.
 
@Mr.Xcoder I'd probably go for DejaVu Sans with DejaVu Sans Mono for code.
 
Question: I posted an answer a week ago on the Redacted Primality Cops and Robbers thread a week ago, and I just realized I never mentioned that it was a probabilistic test. If I edit that in, do I have to wait another week before marking it as safe?
 
@mudkip201 Not necessarily, IMO.
 
So I can go ahead and mark it as safe?
 
8:56 PM
For some reason font-family: Dejavu Sans; doesn't work for me ...
@mudkip201 Hmm, perhaps. Let's see what others say too
 
@Mr.Xcoder needs quotes
 
Yeah I have quotes in my code, was too lazy to type them
 
@Mr.Xcoder Do you have DejaVu installed or available as @font-family?
 
I should have it installed.
 
@Mr.Xcoder Your browser should be able to tell you.
 
8:59 PM
I think I'll go ahead and use @font-face. Do you know a src url?
 
@Mr.Xcoder No, you have to download it and include it with your site.
 
well well well, do we still need one? good job :D
 
Do Hexagony's IPs run synchronously?
 
you mean whether they block each other?
yes, only one of them is active at any given time.
 
9:04 PM
Okay cool thanks
I'm finishing Forked and I can't decide if the IPs should run at the same time
Anyone know of any 2d langs that can have multiple IPs running at the same time?
 
Fission
 
Oh boy, my favorite ಠ_ಠ
 
there's this other one I wanted to add to the 2D polyglot, but could never get to run, let me dig it up
 
@MartinEnder what 2d polyglot? The ?
 
@Adám I give up on DejaVu... Their downloads are made via Sourceforge :C
 
9:06 PM
@MDXF the one where each language prints its year of release
 
Ohh
 
this is the language I had in mind, btw: esolangs.org/wiki/DOBELA
 
@Mr.Xcoder So? It works fine.
 
Sorry I don't use Sourceforge under any circumstance :p
 
9:08 PM
(and I don't wanna explain why atm :c)
 
@Mr.Xcoder Well, I'm gonna provisionally mark it as safe
 
Go ahead
 
I once wanted to do something on SF and I gave up immediately
 
For code I'll use Courier
 
9:10 PM
@Mr.Xcoder should I post the intended crack though
 
Yes sure
 
I just wish Google would make a monospace version of Noto Sans Symbol.
 
I think I'll go with a variation of Helvetica + Courier.
Not ideal, but...
 
@Mr.Xcoder Sounds… Old.
 
@betseg IE... LOL. Even though snippets are not supported by the mobile site, they can be used with the desktop site mode, so I'll leave it as is.
 
9:19 PM
@Adám I can easily change that at any time in the future.
 
@Mr.Xcoder why?
 
Nvm
 
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