49
\$\begingroup\$

This challenge, while probably trivial in most "standard" languages, is addressed to those languages which are so esoteric, low-level, and/or difficult to use that are very rarely seen on this site. It should provide an interesting problem to solve, so this is your occasion to try that weird language you've read about!

The task

Take two natural numbers a and b as input, and output two other numbers: the result of the integer division a/b, and the remainder of such division (a%b).

This is : shortest answer (in bytes), for each language, wins!

Input/Output

  • 0<=a<=255, 1<=b<=255. Each of your inputs (and outputs too) will fit in a single byte.
  • You may choose any format you like for both input and output, as long as the two numbers are clearly distinguishable (e.g. no printing the two results together without a delimiter)

Examples

a,b->division,remainder
5,7->0,5
5,1->5,0
18,4->4,2
255,25->10,5

Note: Builtins that return both the result of the division and the remainder are forbidden. At least show us how your language deals with applying two functions to the same arguments.

Note 2: As always, an explanation of how your code works is very welcome, even if it looks readable to you it may not be so for someone else!


The Catalogue

The Stack Snippet at the bottom of this post generates the catalogue from the answers a) as a list of shortest solution per language and b) as an overall leaderboard.

To make sure that your answer shows up, please start your answer with a headline, using the following Markdown template:

## Language Name, N bytes

where N is the size of your submission. If you improve your score, you can keep old scores in the headline, by striking them through. For instance:

## Ruby, <s>104</s> <s>101</s> 96 bytes

If there you want to include multiple numbers in your header (e.g. because your score is the sum of two files or you want to list interpreter flag penalties separately), make sure that the actual score is the last number in the header:

## Perl, 43 + 2 (-p flag) = 45 bytes

You can also make the language name a link which will then show up in the snippet:

## [><>](https://esolangs.org/wiki/Fish), 121 bytes

/* Configuration */

var QUESTION_ID = 114003; // Obtain this from the url
// It will be like https://XYZ.stackexchange.com/questions/QUESTION_ID/... on any question page
var ANSWER_FILTER = "!t)IWYnsLAZle2tQ3KqrVveCRJfxcRLe";
var COMMENT_FILTER = "!)Q2B_A2kjfAiU78X(md6BoYk";
var OVERRIDE_USER = 8478; // This should be the user ID of the challenge author.

/* App */

var answers = [], answers_hash, answer_ids, answer_page = 1, more_answers = true, comment_page;

function answersUrl(index) {
  return "https://api.stackexchange.com/2.2/questions/" +  QUESTION_ID + "/answers?page=" + index + "&pagesize=100&order=desc&sort=creation&site=codegolf&filter=" + ANSWER_FILTER;
}

function commentUrl(index, answers) {
  return "https://api.stackexchange.com/2.2/answers/" + answers.join(';') + "/comments?page=" + index + "&pagesize=100&order=desc&sort=creation&site=codegolf&filter=" + COMMENT_FILTER;
}

function getAnswers() {
  jQuery.ajax({
    url: answersUrl(answer_page++),
    method: "get",
    dataType: "jsonp",
    crossDomain: true,
    success: function (data) {
      answers.push.apply(answers, data.items);
      answers_hash = [];
      answer_ids = [];
      data.items.forEach(function(a) {
        a.comments = [];
        var id = +a.share_link.match(/\d+/);
        answer_ids.push(id);
        answers_hash[id] = a;
      });
      if (!data.has_more) more_answers = false;
      comment_page = 1;
      getComments();
    }
  });
}

function getComments() {
  jQuery.ajax({
    url: commentUrl(comment_page++, answer_ids),
    method: "get",
    dataType: "jsonp",
    crossDomain: true,
    success: function (data) {
      data.items.forEach(function(c) {
        if (c.owner.user_id === OVERRIDE_USER)
          answers_hash[c.post_id].comments.push(c);
      });
      if (data.has_more) getComments();
      else if (more_answers) getAnswers();
      else process();
    }
  });  
}

getAnswers();

var SCORE_REG = /<h\d>\s*([^\n,<]*(?:<(?:[^\n>]*>[^\n<]*<\/[^\n>]*>)[^\n,<]*)*),.*?(\d+)(?=[^\n\d<>]*(?:<(?:s>[^\n<>]*<\/s>|[^\n<>]+>)[^\n\d<>]*)*<\/h\d>)/;

var OVERRIDE_REG = /^Override\s*header:\s*/i;

function getAuthorName(a) {
  return a.owner.display_name;
}

function process() {
  var valid = [];
  
  answers.forEach(function(a) {
    var body = a.body;
    a.comments.forEach(function(c) {
      if(OVERRIDE_REG.test(c.body))
        body = '<h1>' + c.body.replace(OVERRIDE_REG, '') + '</h1>';
    });
    
    var match = body.match(SCORE_REG);
    if (match)
      valid.push({
        user: getAuthorName(a),
        size: +match[2],
        language: match[1],
        link: a.share_link,
      });
    else console.log(body);
  });
  
  valid.sort(function (a, b) {
    var aB = a.size,
        bB = b.size;
    return aB - bB
  });

  var languages = {};
  var place = 1;
  var lastSize = null;
  var lastPlace = 1;
  valid.forEach(function (a) {
    if (a.size != lastSize)
      lastPlace = place;
    lastSize = a.size;
    ++place;
    
    var answer = jQuery("#answer-template").html();
    answer = answer.replace("{{PLACE}}", lastPlace + ".")
                   .replace("{{NAME}}", a.user)
                   .replace("{{LANGUAGE}}", a.language)
                   .replace("{{SIZE}}", a.size)
                   .replace("{{LINK}}", a.link);
    answer = jQuery(answer);
    jQuery("#answers").append(answer);

    var lang = a.language;
    lang = jQuery('<a>'+lang+'</a>').text();
    
    languages[lang] = languages[lang] || {lang: a.language, lang_raw: lang, user: a.user, size: a.size, link: a.link};
  });

  var langs = [];
  for (var lang in languages)
    if (languages.hasOwnProperty(lang))
      langs.push(languages[lang]);

  langs.sort(function (a, b) {
    if (a.lang_raw.toLowerCase() > b.lang_raw.toLowerCase()) return 1;
    if (a.lang_raw.toLowerCase() < b.lang_raw.toLowerCase()) return -1;
    return 0;
  });

  for (var i = 0; i < langs.length; ++i)
  {
    var language = jQuery("#language-template").html();
    var lang = langs[i];
    language = language.replace("{{LANGUAGE}}", lang.lang)
                       .replace("{{NAME}}", lang.user)
                       .replace("{{SIZE}}", lang.size)
                       .replace("{{LINK}}", lang.link);
    language = jQuery(language);
    jQuery("#languages").append(language);
  }

}
body {
  text-align: left !important;
  display: block !important;
}

#answer-list {
  padding: 10px;
  width: 290px;
  float: left;
}

#language-list {
  padding: 10px;
  width: 500px;
  float: left;
}

table thead {
  font-weight: bold;
}

table td {
  padding: 5px;
}
<script src="https://ajax.googleapis.com/ajax/libs/jquery/2.1.1/jquery.min.js"></script>
<link rel="stylesheet" type="text/css" href="https://cdn.sstatic.net/Sites/codegolf/all.css?v=ffb5d0584c5f">
<div id="language-list">
  <h2>Shortest Solution by Language</h2>
  <table class="language-list">
    <thead>
      <tr><td>Language</td><td>User</td><td>Score</td></tr>
    </thead>
    <tbody id="languages">

    </tbody>
  </table>
</div>
<div id="answer-list">
  <h2>Leaderboard</h2>
  <table class="answer-list">
    <thead>
      <tr><td></td><td>Author</td><td>Language</td><td>Size</td></tr>
    </thead>
    <tbody id="answers">

    </tbody>
  </table>
</div>
<table style="display: none">
  <tbody id="answer-template">
    <tr><td>{{PLACE}}</td><td>{{NAME}}</td><td>{{LANGUAGE}}</td><td>{{SIZE}}</td><td><a href="{{LINK}}">Link</a></td></tr>
  </tbody>
</table>
<table style="display: none">
  <tbody id="language-template">
    <tr><td>{{LANGUAGE}}</td><td>{{NAME}}</td><td>{{SIZE}}</td><td><a href="{{LINK}}">Link</a></td></tr>
  </tbody>
</table>

\$\endgroup\$
21
  • \$\begingroup\$ Can I reverse the arguments, i.e. instead of providing a b providing b a instead? \$\endgroup\$ Commented Mar 27, 2017 at 13:29
  • \$\begingroup\$ @EriktheOutgolfer: You may choose any format you like for both input and output, as long as the two numbers are clearly distinguishable \$\endgroup\$
    – Emigna
    Commented Mar 27, 2017 at 13:30
  • \$\begingroup\$ @Emigna Yeah, I was not sure if reversing didn't make them indistinguishable though. \$\endgroup\$ Commented Mar 27, 2017 at 13:32
  • \$\begingroup\$ @EriktheOutgolfer if you know that they need to be reversed you have no problem in distinguishing them :) \$\endgroup\$
    – Leo
    Commented Mar 27, 2017 at 13:45
  • \$\begingroup\$ Unfortunately, the BF algorithm doesn't work if the divisor is 1. \$\endgroup\$
    – mbomb007
    Commented Mar 27, 2017 at 13:45

99 Answers 99

1
\$\begingroup\$

QBIC, 12 bytes

::?a'\`b,a%b

Explanation:

::     Gets two integers from the command line, a and b
?      PRINT
 a'\`b   Integer division in QBasic is '\', however, '\' is the command for ELSE in QBIC
         To tell QBIC not to swap in ELSE at the '\', we need a code literal.
         Everything from the ' to the `is passed on to QBasic without being parsed.
 ,a%b    Also print a MOD b
\$\endgroup\$
1
\$\begingroup\$

J, 9 bytes

(<.@%,|~)

Usage:

   5 (<.@%,|~) 7
0 5
   5 (<.@%,|~) 1
5 0
   18 (<.@%,|~) 4
4 2
   255 (<.@%,|~) 25
10 5

Explanation:

In J a verb is like a function. Verbs are monadic (f x) or dyadic (x f y) and builtin verbs share the same symbol for different monadic and dyadic cases (e.g. x % y is division, % x is reciprocal).

(<.@% , |~) is a train of 3 verbs (fork in J terminology). A fork is: x (f g h) y = (x f y) g (x h y). Our verbs are:

  • |~ - | is modulo in J, but arguments are for some reason reverse to what you'd expect. We need the adverb ~ to reverse the arguments: x f~ y = y f x

  • <. @ % - x % y is division. @ is a conjunction denoting function composition: x (f @ g) y = f (x g y) (J applies right-to-left). <. x is floor.

  • , - Append.

The parenthesis are needed to form the 3-verb train. No parenthesis would parse as x <.@% (, (|~ y)).

\$\endgroup\$
1
\$\begingroup\$

QBasic 4.5, 23 bytes

INPUT a,b
?a\b,a MOD b

This speaks for itself: get two numbers (input needs to be separated by comma) and print their integer division and modulo. QBasic doesn't have a shorthand for MOD, the %symbol is reserved for defining integers.

\$\endgroup\$
1
\$\begingroup\$

REXX, 20 bytes

arg a b
say a%b a//b
\$\endgroup\$
1
\$\begingroup\$

Fortran 95, 45 bytes

function f(i,j)
write(*,*)i/j,modulo(i,j)
end
\$\endgroup\$
1
\$\begingroup\$

jq, 25 characters

def f(a;b):a/b|floor,a%b;

Sample run:

bash-4.3$ jq -n 'def f(a;b):a/b|floor,a%b;f(255;25)'
10
5

On-line test

\$\endgroup\$
1
\$\begingroup\$

Gema, 25 characters

* *=@div{*;*} @mod{$1;$2}

Sample run:

bash-4.3$ gema '* *=@div{*;*} @mod{$1;$2}' <<< '255 25'
10 5
\$\endgroup\$
1
\$\begingroup\$

Mathematica, 32 31 bytes

Thanks to Martin Ender for calming the code down to the tune of 1 byte!

0@#2//.a_@b_/;b>=#:>(a+1)[b-#]&

Just to mess with the language. Pure function taking the two positive integer arguments in the opposite (counterintuitive) order, and returning the quotient q and the remainder r in the same style, q[r], as in Martin Ender's Mathematica answer. While that answer is shorter, this one is ... more contrary? It implements repeated subtraction on expressions of the form a[b].

\$\endgroup\$
0
1
\$\begingroup\$

AHK, 35 bytes

a=%1%
b=%2%
Send,% a//b ","Mod(a,b)

AutoHotkey assigns numbers 1-n as variable names for the incoming parameters. It causes some problems when you try to use those in functions because it thinks you mean the literal number 1 instead of the variable named 1. The best workaround I can find is to assign them to different variables.

\$\endgroup\$
1
\$\begingroup\$

Forth, 4 bytes

/MOD

Top of stack will be the quotient, then the remainder.

\$\endgroup\$
1
\$\begingroup\$

TI-Basic (TI-84 Plus CE): 18 bytes

Prompt A
Prompt B
{int(A/B),remainder(A,B

Prompt, A, B, newline, {, int(, /, ,, and ) are all one-byte tokens, but remainder( is a two-byte token.

Prompt prompts you for the numbers.

int(A/B) computes the floored division of A and B

remainder(A,B computes remainder when A is divided by B

{ causes the values of int(A/B) and remainder(A,B) to be stored to a list. This list is implicitly returned, as it is the last evaluated value in the program.

The returned list is printed as {divison remainder}, with a space between the numbers.

Note: TI-Basic does not require closing parentheses or brackets in most cases; one exception being here with int(A/B): the ) is needed so as not to pass the value after the comma as a second argument to int( (which would raise an Error: Syntax).

\$\endgroup\$
1
  • 1
    \$\begingroup\$ You can save 2 bytes with Prompt A,B:int({A/B,remainder(A,B \$\endgroup\$
    – lirtosiast
    Commented Apr 6, 2017 at 18:42
1
\$\begingroup\$

Pip, 8 bytes

Pa//ba%b

Try it online!

Explanation:

           The input is read automatically into the vars a and b
     a%b   calculate a%b. Since this is the last thing we do, this is printed implicitly.
 a//b      We also want to show a // b (double slashes is integer div).
P          So we need an explicit PRINT command.
\$\endgroup\$
0
1
\$\begingroup\$

Taxi, 1189 bytes

"," is waiting at Writer's Depot.Go to Post Office:w 1 l 1 r 1 l.Pickup a passenger going to The Babelfishery.Pickup a passenger going to The Babelfishery.Go to The Babelfishery:s 1 l 1 r.Pickup a passenger going to Cyclone.Pickup a passenger going to Cyclone.Go to Cyclone:n 1 l 1 l 2 r.Pickup a passenger going to What's The Difference.Pickup a passenger going to Divide and Conquer.Pickup a passenger going to Divide and Conquer.Go to Divide and Conquer:n 2 r 2 r 1 r.Pickup a passenger going to Trunkers.Go to Trunkers:e 1 r 3 r 1 l.Pickup a passenger going to Cyclone.Go to Cyclone:w 2 r.Pickup a passenger going to Multiplication Station.Pickup a passenger going to Multiplication Station.Go to Multiplication Station:s 1 l 2 r 4 l.Pickup a passenger going to What's The Difference.Go to Cyclone:s 1 r 2 l 2 r.Pickup a passenger going to The Babelfishery.Go to What's The Difference:n 1 l.Pickup a passenger going to The Babelfishery.Go to The Babelfishery:e 3 r.Pickup a passenger going to Post Office.Go to Writer's Depot:n 1 l 1 l 2 l.Pickup a passenger going to Post Office.Go to The Babelfishery:n 1 r 2 r 1 r.Pickup a passenger going to Post Office.Go to Post Office:n 1 l 1 r.

Try it online!


With line breaks:

"," is waiting at Writer's Depot.
Go to Post Office:w 1 l 1 r 1 l.
Pickup a passenger going to The Babelfishery.
Pickup a passenger going to The Babelfishery.
Go to The Babelfishery:s 1 l 1 r.
Pickup a passenger going to Cyclone.
Pickup a passenger going to Cyclone.
Go to Cyclone:n 1 l 1 l 2 r.
Pickup a passenger going to What's The Difference.
Pickup a passenger going to Divide and Conquer.
Pickup a passenger going to Divide and Conquer.
Go to Divide and Conquer:n 2 r 2 r 1 r.
Pickup a passenger going to Trunkers.
Go to Trunkers:e 1 r 3 r 1 l.
Pickup a passenger going to Cyclone.
Go to Cyclone:w 2 r.
Pickup a passenger going to Multiplication Station.
Pickup a passenger going to Multiplication Station.
Go to Multiplication Station:s 1 l 2 r 4 l.
Pickup a passenger going to What's The Difference.
Go to Cyclone:s 1 r 2 l 2 r.
Pickup a passenger going to The Babelfishery.
Go to What's The Difference:n 1 l.
Pickup a passenger going to The Babelfishery.
Go to The Babelfishery:e 3 r.
Pickup a passenger going to Post Office.
Go to Writer's Depot:n 1 l 1 l 2 l.
Pickup a passenger going to Post Office.
Go to The Babelfishery:n 1 r 2 r 1 r.
Pickup a passenger going to Post Office.
Go to Post Office:n 1 l 1 r.
\$\endgroup\$
1
\$\begingroup\$

Triangular, 21 19 bÿtes

$\:A@$U.vS/p%_<%mp<

Prints the result of division, a newline, then the remainder. Formats into this triangle:

     $
    \ :
   A @ $
  U . v S
 / p % _ <
% m p < ÿ ÿ

ÿ is the no-op that is automaticallÿ inserted when there is no code to fill the smallest possible triangle.

Trÿ it online!

Explanation:

I don't know whÿ \ is the first character... Removed it and managed to save two bÿtes. Still don't know whÿ it was there in the first place. ಠ_ಠ

Directionals:

     .
    \ .
   . . .
  . . v .
 / . . . <
. . . <

This is how the interpreter sees the code, without directionals:

$:$S_%pUA@pm%
  • $: reads integer input to the stack and duplicates it. Stack contains input1 input1.
  • $S reads another input to the stack, then stashes it in memorÿ. Stack contains input1 input1 input2, and memorÿ contains input2.
  • _ divides the top two stack values. Now the stack contains input1 input1/input2.
  • % prints the top of stack as an integer.
  • p pops the top of stack. Now the stack contains input1.
  • U pulls memorÿ onto the stack. Now the stack contains input1 input2.
  • A pushes 10 to the stack. Stack contains input1 input2 10.
  • @ prints it as ASCII (newline).
  • p pops it - stack contains input1 input2.
  • m performs modulus on the top two stack values. Stack now contains input1%input2.
  • % prints the top of stack as an integer.
  • the IP then runs off the plaÿing field, and the program terminates.
\$\endgroup\$
1
\$\begingroup\$

Implicit, 9 bytes

$$|/%;_@9

Try it online!

$$|/%;_@9
$$         read two integer inputs
  |        duplicate stack
   /       division
    %      print
     ;     pop
      _    modulus
       @9  print HTAB (delimiter)
\$\endgroup\$
1
\$\begingroup\$

Whispers v2, 77 bytes

> Input
> Input
>> 1÷2
>> ⌊3⌋
>> 1%2
>> Output 4
>> Output 5
>> Then 6 7

Try it online!

\$\endgroup\$
0
1
\$\begingroup\$

Keg, 12 10 bytes

Other than the creator, I think only I am actively using it. Therefore it is rarely seen on this site; in addition it is esoteric.

Takes 2 inputs separated with newlines.

¿¿:^:"$/"%

Explanation

¿¿#          Takes 2 integer inputs: e.g.     stack [1, 2]
  :#         Duplicate the top item.          stack [1, 2, 2]
   ^#        Reverse the stack.               stack [2, 2, 1]
    :#       Duplicate the stack.             stack [2, 2, 1, 1]
     "#      Right shifts (put top to bottom) stack [1, 2, 2, 1]
      $#     Swap top two items               stack [1, 2, 1, 2]
       /#    Divide top two                   stack [1, 2, 0.5]
         "#  Right shifts                     stack [0.5, 1, 2]
          %# Modulos top two items            stack [0.5, 1]

# Stack is implicitly outputted

TIO

\$\endgroup\$
1
\$\begingroup\$

33, 11 bytes

OcOcsdoilro

Try it online!

Explanation

OcOc        | Harvest input from user
    s       | Store "a" for later use
     doi    | Print the integer division followed by a newline
        l   | Get "a" back
         ro | Print the remainder of the division
\$\endgroup\$
1
\$\begingroup\$

Vyxal, 3 bytes

₍ḭ%

Try it Online!

Try a test suite!

The header and footer are for formatting purposes. Otherwise takes arguments in reversed order.

Explained

₍ḭ%
₍   # parallel apply the next two commands and collect into a list:
 ḭ% # integer divide and modulo
\$\endgroup\$
1
  • \$\begingroup\$ What is the input format, if I just want to use it without the test suite? \$\endgroup\$
    – Deadcode
    Commented Apr 6, 2021 at 3:01
1
\$\begingroup\$

Factor, 20 bytes

Stack shuffling:

[ 2dup /i -rot mod ]

Try it online!

Explanation

        ! 24 9
2dup    ! 24 9 24 9
/i      ! 24 9 2
-rot    ! 2 24 9
mod     ! 2 6

Factor, 22 bytes

Data flow combinators:

[ [ /i ] [ mod ] 2bi ]

Try it online!

Factor, 25 bytes

Local variables:

[| a b | a b /i a b mod ]

Try it online!

Factor, 4 bytes

Built-in:

/mod

Try it online!

\$\endgroup\$
1
\$\begingroup\$

Google Sheets, 41 bytes

=concatenate(MOD(A1,A2)," ",QUOTIENT(A1,A2

A1 = divident and A2 = diviser

Last parentheses are auto completed.

\$\endgroup\$
1
\$\begingroup\$

Go, 38 bytes

func(a,b int)(int,int){return a/b,a%b}

Attempt This Online!

Anonymous function that takes 2 ints and returns 2 ints.

\$\endgroup\$
1
\$\begingroup\$

Desmos, 28 bytes

f(a,b)=[floor(a/b),mod(a,b)]

Try It On Desmos!

\$\endgroup\$
1
\$\begingroup\$

APL, 6 bytes

{0⍵⊤⍺}

Definitely not the shortest possible solution, but the classic one, should be compatible with any APL implementation.

\$\endgroup\$
1
\$\begingroup\$

Arturo, 15 bytes

$[x y][x/y x%y]

Try it!

\$\endgroup\$
1
\$\begingroup\$

Trilangle 1.3, 9 bytes

??!z,!:%@

Try it on the online interpreter!

TODO: Add colorized explanation

??        Read two numbers in
   z      Duplicate them both
      :   Compute the quotient
  !       Print the quotient followed by a newline
    ,     Pop the quotient off the stack
       %  Compute the remainder
     !    Print the remainder (followed by a newline)
        @ Terminate the program

The z instruction (DP2) makes this fairly straightforward. Without that, the answer is a bit more involved:

Trilangle 1.0, 13 bytes

??j2S,':%@2!!


??            Read two numbers in
   2          Duplicate the one on top of the stack
      '   2   Push the number 2...
  j           ...and use it to index into the stack, copying the bottom to the top
    S         Swap the top two values, so the stack is [a b a b] instead of [a b b a]
     , :   !  Compute, print, and pop the quotient
        %   ! Compute and print the remainder
         @    Terminate the program
\$\endgroup\$
1
\$\begingroup\$

AWK, 20 bytes

$0=int($1/$2)FS$1%$2

Try it online!

$0=          # set default output
int($1/$2)   # truncate decimal
FS           # default field separator
$1%$2        # mod 
\$\endgroup\$
1
\$\begingroup\$

BrainChild ASM, 6 bytes

asm function divmod(int,int)->int,int{
    apopb
    apopa
    divab
    apusha
    apushb
    ret
}

Hex-dump of bytecode

           0  1  2  3  4  5  6  7  8  9  A  B  C  D  E  F
00000000: 35 34 23 2E 2F 14                               | 54#./.          

Try It Online! With all tests

I/O on the stack which is the standard for BrainChild ASM functions. BrainChild's div instructions leave the remainder in the other register, conveniently.

BrainChild, 28 bytes

(int a,int b)->int,int=>a/%b

Try It Online! With all tests

DivMod operator ftw.

\$\endgroup\$
0
\$\begingroup\$

Wonder, 13 bytes

@@[/#1#0%#1#0

Usage:

((@@[/#1#0%#1#0)10)5

Simply a curried lambda that returns a list with both the division and modulus. I'm looking for a golfier way to do this, something that doesn't involve lambdas.

Be sure to do tK1000 beforehand to view list items in the output.

\$\endgroup\$
0
\$\begingroup\$

PHP, 35 Bytes

[,$a,$b]=$argv;echo$a/$b^0,_,$a%$b;
\$\endgroup\$

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