Nth subset of a set












12












$begingroup$


The task



Given the set



$$S = left[{1,2,3,4,5,6,7,8}right]$$



and an integer



$$0 leq N < 2^{|S|}$$



find the Nth subset.



Input/Output



N is given as an unsigned integer on stdin. You must print the Nth subset in a format suitable for your language (this may include [1,2,3],{1,2,3},[1, 2, 3],1 2 3,1,2,3 etc. for as long as it is a human readable text format).



A little bit about subsets



There is a relationship between subsets and numbers in base two. Each digit
$$d_{i}$$ specifies whether the ith element of the set is within the subset.
For example 00000000 would be the empty set and 10000001 is the subset containing [1,8] (the last and first element). You get the Nth subset by converting the number into base 2 and then the subset includes all elements where $$d_{i} > 0$$. The 3rd subset (3 = 00000011) thus contains [1,2]. The rightmost digit is digit #0. It's ok to print [2,1]. The set does not have to be sorted.



Addendums:



Yes, the set is fixed to 1..8. The set is not part of the input. Input is just N.



Yes, you may use alternate input forms.



All expected outputs for all N: https://tio.run/##SyotykktLixN/f/fyNS02qIoP8soJd1CwSAg2kY32LPWPaoqs7jg/38A










share|improve this question











$endgroup$








  • 1




    $begingroup$
    Is the set specifically 1 to 8, or is it any set?
    $endgroup$
    – Jo King
    Nov 24 '18 at 13:36








  • 1




    $begingroup$
    I'm surprised nobody asked before: Would you be so kind to allow functions as submissions which take the input as argument and not force languages to use stdin (which some are not able to)? The question is about subsets and not fiddling with inputs.
    $endgroup$
    – BMO
    Nov 24 '18 at 13:53






  • 5




    $begingroup$
    You don't need to tell everyone whether their solution is correct, you can restrict yourself to telling when it's not.
    $endgroup$
    – BMO
    Nov 24 '18 at 14:34






  • 1




    $begingroup$
    Since the set is limited to 1..8, an output such as "123" would be unambiguous. Is it valid?
    $endgroup$
    – Arnauld
    Nov 24 '18 at 14:45








  • 2




    $begingroup$
    Can we use 0-indexed [0,7] instead of [1,8]?
    $endgroup$
    – Erik the Outgolfer
    Nov 24 '18 at 15:11
















12












$begingroup$


The task



Given the set



$$S = left[{1,2,3,4,5,6,7,8}right]$$



and an integer



$$0 leq N < 2^{|S|}$$



find the Nth subset.



Input/Output



N is given as an unsigned integer on stdin. You must print the Nth subset in a format suitable for your language (this may include [1,2,3],{1,2,3},[1, 2, 3],1 2 3,1,2,3 etc. for as long as it is a human readable text format).



A little bit about subsets



There is a relationship between subsets and numbers in base two. Each digit
$$d_{i}$$ specifies whether the ith element of the set is within the subset.
For example 00000000 would be the empty set and 10000001 is the subset containing [1,8] (the last and first element). You get the Nth subset by converting the number into base 2 and then the subset includes all elements where $$d_{i} > 0$$. The 3rd subset (3 = 00000011) thus contains [1,2]. The rightmost digit is digit #0. It's ok to print [2,1]. The set does not have to be sorted.



Addendums:



Yes, the set is fixed to 1..8. The set is not part of the input. Input is just N.



Yes, you may use alternate input forms.



All expected outputs for all N: https://tio.run/##SyotykktLixN/f/fyNS02qIoP8soJd1CwSAg2kY32LPWPaoqs7jg/38A










share|improve this question











$endgroup$








  • 1




    $begingroup$
    Is the set specifically 1 to 8, or is it any set?
    $endgroup$
    – Jo King
    Nov 24 '18 at 13:36








  • 1




    $begingroup$
    I'm surprised nobody asked before: Would you be so kind to allow functions as submissions which take the input as argument and not force languages to use stdin (which some are not able to)? The question is about subsets and not fiddling with inputs.
    $endgroup$
    – BMO
    Nov 24 '18 at 13:53






  • 5




    $begingroup$
    You don't need to tell everyone whether their solution is correct, you can restrict yourself to telling when it's not.
    $endgroup$
    – BMO
    Nov 24 '18 at 14:34






  • 1




    $begingroup$
    Since the set is limited to 1..8, an output such as "123" would be unambiguous. Is it valid?
    $endgroup$
    – Arnauld
    Nov 24 '18 at 14:45








  • 2




    $begingroup$
    Can we use 0-indexed [0,7] instead of [1,8]?
    $endgroup$
    – Erik the Outgolfer
    Nov 24 '18 at 15:11














12












12








12





$begingroup$


The task



Given the set



$$S = left[{1,2,3,4,5,6,7,8}right]$$



and an integer



$$0 leq N < 2^{|S|}$$



find the Nth subset.



Input/Output



N is given as an unsigned integer on stdin. You must print the Nth subset in a format suitable for your language (this may include [1,2,3],{1,2,3},[1, 2, 3],1 2 3,1,2,3 etc. for as long as it is a human readable text format).



A little bit about subsets



There is a relationship between subsets and numbers in base two. Each digit
$$d_{i}$$ specifies whether the ith element of the set is within the subset.
For example 00000000 would be the empty set and 10000001 is the subset containing [1,8] (the last and first element). You get the Nth subset by converting the number into base 2 and then the subset includes all elements where $$d_{i} > 0$$. The 3rd subset (3 = 00000011) thus contains [1,2]. The rightmost digit is digit #0. It's ok to print [2,1]. The set does not have to be sorted.



Addendums:



Yes, the set is fixed to 1..8. The set is not part of the input. Input is just N.



Yes, you may use alternate input forms.



All expected outputs for all N: https://tio.run/##SyotykktLixN/f/fyNS02qIoP8soJd1CwSAg2kY32LPWPaoqs7jg/38A










share|improve this question











$endgroup$




The task



Given the set



$$S = left[{1,2,3,4,5,6,7,8}right]$$



and an integer



$$0 leq N < 2^{|S|}$$



find the Nth subset.



Input/Output



N is given as an unsigned integer on stdin. You must print the Nth subset in a format suitable for your language (this may include [1,2,3],{1,2,3},[1, 2, 3],1 2 3,1,2,3 etc. for as long as it is a human readable text format).



A little bit about subsets



There is a relationship between subsets and numbers in base two. Each digit
$$d_{i}$$ specifies whether the ith element of the set is within the subset.
For example 00000000 would be the empty set and 10000001 is the subset containing [1,8] (the last and first element). You get the Nth subset by converting the number into base 2 and then the subset includes all elements where $$d_{i} > 0$$. The 3rd subset (3 = 00000011) thus contains [1,2]. The rightmost digit is digit #0. It's ok to print [2,1]. The set does not have to be sorted.



Addendums:



Yes, the set is fixed to 1..8. The set is not part of the input. Input is just N.



Yes, you may use alternate input forms.



All expected outputs for all N: https://tio.run/##SyotykktLixN/f/fyNS02qIoP8soJd1CwSAg2kY32LPWPaoqs7jg/38A







code-golf






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Nov 24 '18 at 14:05







mroman

















asked Nov 24 '18 at 13:17









mromanmroman

1,102613




1,102613








  • 1




    $begingroup$
    Is the set specifically 1 to 8, or is it any set?
    $endgroup$
    – Jo King
    Nov 24 '18 at 13:36








  • 1




    $begingroup$
    I'm surprised nobody asked before: Would you be so kind to allow functions as submissions which take the input as argument and not force languages to use stdin (which some are not able to)? The question is about subsets and not fiddling with inputs.
    $endgroup$
    – BMO
    Nov 24 '18 at 13:53






  • 5




    $begingroup$
    You don't need to tell everyone whether their solution is correct, you can restrict yourself to telling when it's not.
    $endgroup$
    – BMO
    Nov 24 '18 at 14:34






  • 1




    $begingroup$
    Since the set is limited to 1..8, an output such as "123" would be unambiguous. Is it valid?
    $endgroup$
    – Arnauld
    Nov 24 '18 at 14:45








  • 2




    $begingroup$
    Can we use 0-indexed [0,7] instead of [1,8]?
    $endgroup$
    – Erik the Outgolfer
    Nov 24 '18 at 15:11














  • 1




    $begingroup$
    Is the set specifically 1 to 8, or is it any set?
    $endgroup$
    – Jo King
    Nov 24 '18 at 13:36








  • 1




    $begingroup$
    I'm surprised nobody asked before: Would you be so kind to allow functions as submissions which take the input as argument and not force languages to use stdin (which some are not able to)? The question is about subsets and not fiddling with inputs.
    $endgroup$
    – BMO
    Nov 24 '18 at 13:53






  • 5




    $begingroup$
    You don't need to tell everyone whether their solution is correct, you can restrict yourself to telling when it's not.
    $endgroup$
    – BMO
    Nov 24 '18 at 14:34






  • 1




    $begingroup$
    Since the set is limited to 1..8, an output such as "123" would be unambiguous. Is it valid?
    $endgroup$
    – Arnauld
    Nov 24 '18 at 14:45








  • 2




    $begingroup$
    Can we use 0-indexed [0,7] instead of [1,8]?
    $endgroup$
    – Erik the Outgolfer
    Nov 24 '18 at 15:11








1




1




$begingroup$
Is the set specifically 1 to 8, or is it any set?
$endgroup$
– Jo King
Nov 24 '18 at 13:36






$begingroup$
Is the set specifically 1 to 8, or is it any set?
$endgroup$
– Jo King
Nov 24 '18 at 13:36






1




1




$begingroup$
I'm surprised nobody asked before: Would you be so kind to allow functions as submissions which take the input as argument and not force languages to use stdin (which some are not able to)? The question is about subsets and not fiddling with inputs.
$endgroup$
– BMO
Nov 24 '18 at 13:53




$begingroup$
I'm surprised nobody asked before: Would you be so kind to allow functions as submissions which take the input as argument and not force languages to use stdin (which some are not able to)? The question is about subsets and not fiddling with inputs.
$endgroup$
– BMO
Nov 24 '18 at 13:53




5




5




$begingroup$
You don't need to tell everyone whether their solution is correct, you can restrict yourself to telling when it's not.
$endgroup$
– BMO
Nov 24 '18 at 14:34




$begingroup$
You don't need to tell everyone whether their solution is correct, you can restrict yourself to telling when it's not.
$endgroup$
– BMO
Nov 24 '18 at 14:34




1




1




$begingroup$
Since the set is limited to 1..8, an output such as "123" would be unambiguous. Is it valid?
$endgroup$
– Arnauld
Nov 24 '18 at 14:45






$begingroup$
Since the set is limited to 1..8, an output such as "123" would be unambiguous. Is it valid?
$endgroup$
– Arnauld
Nov 24 '18 at 14:45






2




2




$begingroup$
Can we use 0-indexed [0,7] instead of [1,8]?
$endgroup$
– Erik the Outgolfer
Nov 24 '18 at 15:11




$begingroup$
Can we use 0-indexed [0,7] instead of [1,8]?
$endgroup$
– Erik the Outgolfer
Nov 24 '18 at 15:11










29 Answers
29






active

oldest

votes


















15












$begingroup$


Jelly, 3 bytes



BUT


Try it online!



How it works



BUT  Main link. Argument: n

B Binary; convert n to base 2.
U Upend; reverse the resulting array, so it starts with the LSB.
T Truth; find all 1-based indices of set bits.





share|improve this answer











$endgroup$









  • 3




    $begingroup$
    But, but, BUT...?!
    $endgroup$
    – Arnauld
    Nov 24 '18 at 21:00












  • $begingroup$
    @Arnauld BUT everything is a lie! You think everything is Binary, eh? Well... that Upended is the Truth! So, nope, not everything is Binary. Welcome to the gray area!
    $endgroup$
    – Erik the Outgolfer
    Nov 25 '18 at 11:34



















7












$begingroup$


R, 52 26 bytes





which(intToBits(scan())>0)


Try it online!



Converts the input to its bits and returns the 1-based indices of where they are TRUE. That makes this a port of Dennis' Jelly answer.



Returns integer(0), the empty list of integers, for input of 0.






share|improve this answer











$endgroup$













  • $begingroup$
    Although this answer contains no IFs, ANDs, or BUTs.
    $endgroup$
    – ngm
    Nov 26 '18 at 1:11



















5












$begingroup$


Python 2, 40 bytes





lambda x:[i+1for i in range(8)if x>>i&1]


Try it online!






share|improve this answer









$endgroup$





















    4












    $begingroup$


    Perl 6, 33 bytes





    (1..*Zxx*.base(2).flip.comb).flat


    Try it online!






    share|improve this answer











    $endgroup$





















      3












      $begingroup$


      Python 2, 42 bytes





      f=lambda n,k=1:n*[k]and n%2*[k]+f(n/2,k+1)


      Try it online!






      share|improve this answer









      $endgroup$





















        2












        $begingroup$


        K4, 7 bytes



        Solution:



        1+&|2:


        Example:



        First 10...



        q)k)(1+&|2:)@'!10
        `long$()
        ,1
        ,2
        1 2
        ,3
        1 3
        2 3
        1 2 3
        ,4
        1 4


        Explanation:



        1+&|2: / the solution
        2: / convert to base-2
        | / reverse
        & / indices where true
        1+ / add 1





        share|improve this answer









        $endgroup$





















          2












          $begingroup$

          MATLAB/Octave, 31 29 27 bytes





          @(n)9-find(dec2bin(n,8)-48)



          • reduced of 2 bytes thanks to alephalpha


          • reduced of 2 bytes thanks to Giuseppe



          Try it online!






          share|improve this answer











          $endgroup$









          • 1




            $begingroup$
            @(n)9-find(dec2bin(n,8)-48)
            $endgroup$
            – alephalpha
            Nov 24 '18 at 16:35










          • $begingroup$
            @alephalpha Thanks!
            $endgroup$
            – PieCot
            Nov 24 '18 at 16:37



















          2












          $begingroup$

          Japt, 7 bytes



          ì2 Ôi ð


          Try it



          ì2          :Convert to base-2 digit array
          Ô :Reverse
          i :Prepend null element
          ð :0-based indices of truthy elements




          ¤¬²Ôð¥1


          Try it



          ¤           :Convert to base-2 string
          ¬ :Split
          ² :Push 2
          Ô :Reverse
          ð :0-based indices of elements
          ¥1 : Equal to 1





          share|improve this answer











          $endgroup$





















            1












            $begingroup$


            Husk, 5 bytes



            `fN↔ḋ


            Takes input as command-line argument not on stdin (I hope this is ok), try it online!



            Explanation



            `fN↔ḋ  -- example input: 6
            ḋ -- convert to binary: [1,1,0]
            ↔ -- reverse: [0,1,1]
            ` -- flip the arguments of
            fN -- | filter the natural numbers by another list
            -- : [2,3]





            share|improve this answer









            $endgroup$





















              1












              $begingroup$


              Haskell, 55 54 bytes





              s n=[x|(x,d)<-zip[8,7..]$mapM(pure[0,1])[1..8]!!n,d>0]


              Outputs the set in reversed order, try it online!



              General version, 56 bytes



              This will work for sets larger than ${i}_{i=1}^8$:



              s n=[x|(x,d)<-zip[n,n-1..]$mapM(pure[0,1])[1..n]!!n,d>0]


              Try it online!



              Explanation



              The term mapM (pure [0,1]) [1..n] generates the list (n=4) [[0,0,0,0],[0,0,0,1],[0,0,1,0],..,[1,1,1,1]] - ie. the binary representations of [0..2^n-1]. Indexing into it with n gives us the binary representation of n.



              Now we can just zip it with the reversed numbers [1..n] and only keep the elements where the binary-digit is non-zero:



               [ x | (x,digit) <- zip [n,n-1,..1] binaryRepN, digit > 0 ]





              share|improve this answer











              $endgroup$





















                1












                $begingroup$


                Charcoal, 11 bytes



                ↓⭆⮌↨N²×ιI⊕κ


                Try it online! Link is to verbose version of code. If printing the answer horizontally without spaces is acceptable then the first character can be removed. Explanation:



                    N       Input as a number
                ↨ Converted to base
                ² Literal 2
                ⮌ Reversed
                ⭆ Map over bits and join
                κ Current index (0-indexed)
                ⊕ Incremented
                I Cast to string
                ι Current bit
                × Repeat string
                ↓ Print vertically





                share|improve this answer









                $endgroup$





















                  1












                  $begingroup$

                  JavaScript (ES6), 37 bytes



                  +4 bytes if a separator is mandatory
                  +3 bytes if this separator is a comma and a leading comma is allowed





                  f=(n,i=1)=>n?(n&1?i:'')+f(n/2,i+1):''


                  Try it online!






                  share|improve this answer









                  $endgroup$





















                    1












                    $begingroup$


                    Perl 6, 21 bytes





                    {1 X+grep $_+>*%2,^8}


                    Try it online!



                    Alternative:



                    {grep $_*2+>*%2,1..8}





                    share|improve this answer











                    $endgroup$





















                      1












                      $begingroup$

                      Common Lisp, 57 bytes



                      (lambda(x)(dotimes(i 7)(format(logbitp i x)"~a "(1+ i))))


                      Try it online!






                      share|improve this answer









                      $endgroup$





















                        1












                        $begingroup$


                        Haskell, 33 bytes





                        s n=[x+1|x<-[0..7],odd$div n$2^x]


                        Try it online!





                        37 bytes





                        concat.(mapM(i->[,[i]])[8,7..1]!!)


                        Try it online!



                        Test cases from nimi.






                        share|improve this answer









                        $endgroup$





















                          1












                          $begingroup$


                          C# (Visual C# Interactive Compiler), 49 bytes





                          x=>Enumerable.Range(1,8).Where(y=>(1&x>>(y-1))>0)


                          Try it online!



                          This solution uses pretty straightforward bit manipulation. While I don't think that 0-based indexing is allowed, I came up with a slightly shorter version that uses it...




                          C# (Visual C# Interactive Compiler), 45 bytes





                          x=>Enumerable.Range(0,8).Where(y=>(1&x>>y)>0)


                          Try it online!






                          share|improve this answer











                          $endgroup$





















                            1












                            $begingroup$


                            J, 13 10 bytes



                            -3 bytes thanks to Bubbler

                            1+I.@|.@#:


                            Try it online!






                            share|improve this answer











                            $endgroup$









                            • 1




                              $begingroup$
                              10 bytes.
                              $endgroup$
                              – Bubbler
                              Nov 26 '18 at 0:57










                            • $begingroup$
                              @Bubbler Thanks! I thought I tried this - apparently not :)
                              $endgroup$
                              – Galen Ivanov
                              Nov 26 '18 at 4:41



















                            0












                            $begingroup$

                            Python 3.6, 58 bytes



                            f=lambda n:[8-v for v,i in enumerate(f'{n:08b}')if int(i)]





                            share|improve this answer











                            $endgroup$





















                              0












                              $begingroup$


                              Wolfram Language (Mathematica), 32 bytes



                              Pick[r=Range@8,BitGet[#,r-1],1]&


                              Try it online!






                              share|improve this answer









                              $endgroup$





















                                0












                                $begingroup$


                                Pari/GP, 31 bytes



                                n->[x|x<-[1..8],bittest(n,x-1)]


                                Try it online!






                                share|improve this answer









                                $endgroup$





















                                  0












                                  $begingroup$

                                  APL+WIN, 13 bytes



                                  Prompts for N:



                                  ((8⍴2)⊤⎕)/⌽⍳8


                                  Try it online! Courtesy of Dyalog Classic



                                  Explanation:



                                  ((8⍴2)⊤⎕) prompt for N and convert to binary

                                  /⌽⍳8 generate a vector from 1 to 8, reverse and select integers according to 1s in binary


                                  Returns subset in reverse order






                                  share|improve this answer











                                  $endgroup$





















                                    0












                                    $begingroup$

                                    Burlesque - 8 bytes



                                    8roR@j!!


                                    Try it online.






                                    share|improve this answer









                                    $endgroup$





















                                      0












                                      $begingroup$

                                      Oracle SQL, 77 bytes



                                      select*from(select rownum r,value(p)from t,table(powermultiset(x))p)where:n=r


                                      Test in SQL Plus



                                      SQL> var n number
                                      SQL> exec :n:=67;

                                      PL/SQL procedure successfully completed.

                                      SQL> with t as (select ku$_vcnt(1,2,3,4,5,6,7,8) x from dual)
                                      2 select*from(select rownum r,value(p)from t,table(powermultiset(x))p)where:n=r
                                      3 /
                                      67
                                      KU$_VCNT('1', '2', '7')





                                      share|improve this answer









                                      $endgroup$





















                                        0












                                        $begingroup$


                                        MathGolf, 8 bytes



                                        â^mÉ┤*─


                                        Try it online!



                                        Explanation



                                        â         Convert first input to binary list
                                        ^ Zip with [1,2,3,4,5,6,7,8] (other input)
                                        mÉ Map 2D array using the next 3 instuctions
                                        ┤ Pop from right of array
                                        * Swap top two elements and repeat array either 0 or 1 times
                                        ─ Flatten to 1D array


                                        Alternate output format



                                        With a more flexible output format (that I personally think looks quite good) I can come up with a 6-byter:



                                        â^É┤*


                                        Instead of mapping, I use the implicit for-each, and I skip the flattening. Output looks like this:



                                        [1][2][4][5][6][7]





                                        share|improve this answer









                                        $endgroup$





















                                          0












                                          $begingroup$


                                          Ruby, 31 bytes





                                          ->n{n.times{|a|n[a]>0&&p(-~a)}}


                                          Try it online!






                                          share|improve this answer









                                          $endgroup$





















                                            0












                                            $begingroup$


                                            F# (Mono), 45 bytes





                                            let m x=Seq.where(fun y->x>>>y-1&&&1>0)[1..8]


                                            Try it online!



                                            I also implemented a generic/recursive function, but its pretty ugly and the byte count is a lot larger...




                                            F# (Mono), 107 bytes





                                            let rec g y i=
                                            if y>0 then seq{
                                            if y%2>0 then yield i
                                            yield!g(y/2)(i+1)
                                            }else Seq.empty
                                            let f x=g x 1


                                            Try it online!






                                            share|improve this answer











                                            $endgroup$





















                                              0












                                              $begingroup$


                                              05AB1E, 6 bytes



                                              bRSƶ0K


                                              Try it online or verify all possible test cases.



                                              Explanation:





                                              b         # Convert the (implicit) integer input to binary
                                              # i.e. 22 → "10110"
                                              R # Reverse it
                                              # i.e. "10110" → "01101"
                                              S # Convert it to a list of 0s and 1s
                                              # i.e. "01101" → ["0","1","1","0","1"]
                                              ƶ # Multiply each with its 1-indexed index
                                              # i.e. ["0","1","1","0","1"] → [0,2,3,0,5]
                                              0K # Remove all 0s (and output implicitly)
                                              # i.e. [0,2,3,0,5] → [2,3,5]





                                              share|improve this answer









                                              $endgroup$





















                                                0












                                                $begingroup$

                                                Java 8, 58 bytes





                                                n->{for(int i=0;i<8;)if((1&n>>i++)>0)System.out.print(i);}


                                                Try it online.



                                                Explanation:



                                                n->{                        // Method with integer as parameter and no return-type
                                                for(int i=0;i<8;) // Loop `i` in the range [0,8):
                                                if((1&n>>i++)>0) // If 1 AND `n` bitwise right-shifted to `i` is larger than 0
                                                // (with `i` increased by 1 afterwards with `i++`)
                                                System.out.print(i);} // Print `i+1`





                                                share|improve this answer









                                                $endgroup$





















                                                  0












                                                  $begingroup$

                                                  Japt, 7 bytes



                                                  ¢Ô¬ðÍmÄ


                                                  Test it online





                                                  Japt, 7 bytes



                                                  ¤Ôð1 mÄ


                                                  Test it online






                                                  share|improve this answer











                                                  $endgroup$













                                                    Your Answer





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                                                    29 Answers
                                                    29






                                                    active

                                                    oldest

                                                    votes








                                                    29 Answers
                                                    29






                                                    active

                                                    oldest

                                                    votes









                                                    active

                                                    oldest

                                                    votes






                                                    active

                                                    oldest

                                                    votes









                                                    15












                                                    $begingroup$


                                                    Jelly, 3 bytes



                                                    BUT


                                                    Try it online!



                                                    How it works



                                                    BUT  Main link. Argument: n

                                                    B Binary; convert n to base 2.
                                                    U Upend; reverse the resulting array, so it starts with the LSB.
                                                    T Truth; find all 1-based indices of set bits.





                                                    share|improve this answer











                                                    $endgroup$









                                                    • 3




                                                      $begingroup$
                                                      But, but, BUT...?!
                                                      $endgroup$
                                                      – Arnauld
                                                      Nov 24 '18 at 21:00












                                                    • $begingroup$
                                                      @Arnauld BUT everything is a lie! You think everything is Binary, eh? Well... that Upended is the Truth! So, nope, not everything is Binary. Welcome to the gray area!
                                                      $endgroup$
                                                      – Erik the Outgolfer
                                                      Nov 25 '18 at 11:34
















                                                    15












                                                    $begingroup$


                                                    Jelly, 3 bytes



                                                    BUT


                                                    Try it online!



                                                    How it works



                                                    BUT  Main link. Argument: n

                                                    B Binary; convert n to base 2.
                                                    U Upend; reverse the resulting array, so it starts with the LSB.
                                                    T Truth; find all 1-based indices of set bits.





                                                    share|improve this answer











                                                    $endgroup$









                                                    • 3




                                                      $begingroup$
                                                      But, but, BUT...?!
                                                      $endgroup$
                                                      – Arnauld
                                                      Nov 24 '18 at 21:00












                                                    • $begingroup$
                                                      @Arnauld BUT everything is a lie! You think everything is Binary, eh? Well... that Upended is the Truth! So, nope, not everything is Binary. Welcome to the gray area!
                                                      $endgroup$
                                                      – Erik the Outgolfer
                                                      Nov 25 '18 at 11:34














                                                    15












                                                    15








                                                    15





                                                    $begingroup$


                                                    Jelly, 3 bytes



                                                    BUT


                                                    Try it online!



                                                    How it works



                                                    BUT  Main link. Argument: n

                                                    B Binary; convert n to base 2.
                                                    U Upend; reverse the resulting array, so it starts with the LSB.
                                                    T Truth; find all 1-based indices of set bits.





                                                    share|improve this answer











                                                    $endgroup$




                                                    Jelly, 3 bytes



                                                    BUT


                                                    Try it online!



                                                    How it works



                                                    BUT  Main link. Argument: n

                                                    B Binary; convert n to base 2.
                                                    U Upend; reverse the resulting array, so it starts with the LSB.
                                                    T Truth; find all 1-based indices of set bits.






                                                    share|improve this answer














                                                    share|improve this answer



                                                    share|improve this answer








                                                    edited Nov 24 '18 at 14:03

























                                                    answered Nov 24 '18 at 13:49









                                                    DennisDennis

                                                    188k32299738




                                                    188k32299738








                                                    • 3




                                                      $begingroup$
                                                      But, but, BUT...?!
                                                      $endgroup$
                                                      – Arnauld
                                                      Nov 24 '18 at 21:00












                                                    • $begingroup$
                                                      @Arnauld BUT everything is a lie! You think everything is Binary, eh? Well... that Upended is the Truth! So, nope, not everything is Binary. Welcome to the gray area!
                                                      $endgroup$
                                                      – Erik the Outgolfer
                                                      Nov 25 '18 at 11:34














                                                    • 3




                                                      $begingroup$
                                                      But, but, BUT...?!
                                                      $endgroup$
                                                      – Arnauld
                                                      Nov 24 '18 at 21:00












                                                    • $begingroup$
                                                      @Arnauld BUT everything is a lie! You think everything is Binary, eh? Well... that Upended is the Truth! So, nope, not everything is Binary. Welcome to the gray area!
                                                      $endgroup$
                                                      – Erik the Outgolfer
                                                      Nov 25 '18 at 11:34








                                                    3




                                                    3




                                                    $begingroup$
                                                    But, but, BUT...?!
                                                    $endgroup$
                                                    – Arnauld
                                                    Nov 24 '18 at 21:00






                                                    $begingroup$
                                                    But, but, BUT...?!
                                                    $endgroup$
                                                    – Arnauld
                                                    Nov 24 '18 at 21:00














                                                    $begingroup$
                                                    @Arnauld BUT everything is a lie! You think everything is Binary, eh? Well... that Upended is the Truth! So, nope, not everything is Binary. Welcome to the gray area!
                                                    $endgroup$
                                                    – Erik the Outgolfer
                                                    Nov 25 '18 at 11:34




                                                    $begingroup$
                                                    @Arnauld BUT everything is a lie! You think everything is Binary, eh? Well... that Upended is the Truth! So, nope, not everything is Binary. Welcome to the gray area!
                                                    $endgroup$
                                                    – Erik the Outgolfer
                                                    Nov 25 '18 at 11:34











                                                    7












                                                    $begingroup$


                                                    R, 52 26 bytes





                                                    which(intToBits(scan())>0)


                                                    Try it online!



                                                    Converts the input to its bits and returns the 1-based indices of where they are TRUE. That makes this a port of Dennis' Jelly answer.



                                                    Returns integer(0), the empty list of integers, for input of 0.






                                                    share|improve this answer











                                                    $endgroup$













                                                    • $begingroup$
                                                      Although this answer contains no IFs, ANDs, or BUTs.
                                                      $endgroup$
                                                      – ngm
                                                      Nov 26 '18 at 1:11
















                                                    7












                                                    $begingroup$


                                                    R, 52 26 bytes





                                                    which(intToBits(scan())>0)


                                                    Try it online!



                                                    Converts the input to its bits and returns the 1-based indices of where they are TRUE. That makes this a port of Dennis' Jelly answer.



                                                    Returns integer(0), the empty list of integers, for input of 0.






                                                    share|improve this answer











                                                    $endgroup$













                                                    • $begingroup$
                                                      Although this answer contains no IFs, ANDs, or BUTs.
                                                      $endgroup$
                                                      – ngm
                                                      Nov 26 '18 at 1:11














                                                    7












                                                    7








                                                    7





                                                    $begingroup$


                                                    R, 52 26 bytes





                                                    which(intToBits(scan())>0)


                                                    Try it online!



                                                    Converts the input to its bits and returns the 1-based indices of where they are TRUE. That makes this a port of Dennis' Jelly answer.



                                                    Returns integer(0), the empty list of integers, for input of 0.






                                                    share|improve this answer











                                                    $endgroup$




                                                    R, 52 26 bytes





                                                    which(intToBits(scan())>0)


                                                    Try it online!



                                                    Converts the input to its bits and returns the 1-based indices of where they are TRUE. That makes this a port of Dennis' Jelly answer.



                                                    Returns integer(0), the empty list of integers, for input of 0.







                                                    share|improve this answer














                                                    share|improve this answer



                                                    share|improve this answer








                                                    edited Nov 24 '18 at 14:39

























                                                    answered Nov 24 '18 at 14:02









                                                    GiuseppeGiuseppe

                                                    16.6k31052




                                                    16.6k31052












                                                    • $begingroup$
                                                      Although this answer contains no IFs, ANDs, or BUTs.
                                                      $endgroup$
                                                      – ngm
                                                      Nov 26 '18 at 1:11


















                                                    • $begingroup$
                                                      Although this answer contains no IFs, ANDs, or BUTs.
                                                      $endgroup$
                                                      – ngm
                                                      Nov 26 '18 at 1:11
















                                                    $begingroup$
                                                    Although this answer contains no IFs, ANDs, or BUTs.
                                                    $endgroup$
                                                    – ngm
                                                    Nov 26 '18 at 1:11




                                                    $begingroup$
                                                    Although this answer contains no IFs, ANDs, or BUTs.
                                                    $endgroup$
                                                    – ngm
                                                    Nov 26 '18 at 1:11











                                                    5












                                                    $begingroup$


                                                    Python 2, 40 bytes





                                                    lambda x:[i+1for i in range(8)if x>>i&1]


                                                    Try it online!






                                                    share|improve this answer









                                                    $endgroup$


















                                                      5












                                                      $begingroup$


                                                      Python 2, 40 bytes





                                                      lambda x:[i+1for i in range(8)if x>>i&1]


                                                      Try it online!






                                                      share|improve this answer









                                                      $endgroup$
















                                                        5












                                                        5








                                                        5





                                                        $begingroup$


                                                        Python 2, 40 bytes





                                                        lambda x:[i+1for i in range(8)if x>>i&1]


                                                        Try it online!






                                                        share|improve this answer









                                                        $endgroup$




                                                        Python 2, 40 bytes





                                                        lambda x:[i+1for i in range(8)if x>>i&1]


                                                        Try it online!







                                                        share|improve this answer












                                                        share|improve this answer



                                                        share|improve this answer










                                                        answered Nov 24 '18 at 15:16









                                                        Erik the OutgolferErik the Outgolfer

                                                        31.9k429103




                                                        31.9k429103























                                                            4












                                                            $begingroup$


                                                            Perl 6, 33 bytes





                                                            (1..*Zxx*.base(2).flip.comb).flat


                                                            Try it online!






                                                            share|improve this answer











                                                            $endgroup$


















                                                              4












                                                              $begingroup$


                                                              Perl 6, 33 bytes





                                                              (1..*Zxx*.base(2).flip.comb).flat


                                                              Try it online!






                                                              share|improve this answer











                                                              $endgroup$
















                                                                4












                                                                4








                                                                4





                                                                $begingroup$


                                                                Perl 6, 33 bytes





                                                                (1..*Zxx*.base(2).flip.comb).flat


                                                                Try it online!






                                                                share|improve this answer











                                                                $endgroup$




                                                                Perl 6, 33 bytes





                                                                (1..*Zxx*.base(2).flip.comb).flat


                                                                Try it online!







                                                                share|improve this answer














                                                                share|improve this answer



                                                                share|improve this answer








                                                                edited Nov 24 '18 at 23:49

























                                                                answered Nov 24 '18 at 13:33









                                                                Jo KingJo King

                                                                23.1k253121




                                                                23.1k253121























                                                                    3












                                                                    $begingroup$


                                                                    Python 2, 42 bytes





                                                                    f=lambda n,k=1:n*[k]and n%2*[k]+f(n/2,k+1)


                                                                    Try it online!






                                                                    share|improve this answer









                                                                    $endgroup$


















                                                                      3












                                                                      $begingroup$


                                                                      Python 2, 42 bytes





                                                                      f=lambda n,k=1:n*[k]and n%2*[k]+f(n/2,k+1)


                                                                      Try it online!






                                                                      share|improve this answer









                                                                      $endgroup$
















                                                                        3












                                                                        3








                                                                        3





                                                                        $begingroup$


                                                                        Python 2, 42 bytes





                                                                        f=lambda n,k=1:n*[k]and n%2*[k]+f(n/2,k+1)


                                                                        Try it online!






                                                                        share|improve this answer









                                                                        $endgroup$




                                                                        Python 2, 42 bytes





                                                                        f=lambda n,k=1:n*[k]and n%2*[k]+f(n/2,k+1)


                                                                        Try it online!







                                                                        share|improve this answer












                                                                        share|improve this answer



                                                                        share|improve this answer










                                                                        answered Nov 24 '18 at 14:15









                                                                        DennisDennis

                                                                        188k32299738




                                                                        188k32299738























                                                                            2












                                                                            $begingroup$


                                                                            K4, 7 bytes



                                                                            Solution:



                                                                            1+&|2:


                                                                            Example:



                                                                            First 10...



                                                                            q)k)(1+&|2:)@'!10
                                                                            `long$()
                                                                            ,1
                                                                            ,2
                                                                            1 2
                                                                            ,3
                                                                            1 3
                                                                            2 3
                                                                            1 2 3
                                                                            ,4
                                                                            1 4


                                                                            Explanation:



                                                                            1+&|2: / the solution
                                                                            2: / convert to base-2
                                                                            | / reverse
                                                                            & / indices where true
                                                                            1+ / add 1





                                                                            share|improve this answer









                                                                            $endgroup$


















                                                                              2












                                                                              $begingroup$


                                                                              K4, 7 bytes



                                                                              Solution:



                                                                              1+&|2:


                                                                              Example:



                                                                              First 10...



                                                                              q)k)(1+&|2:)@'!10
                                                                              `long$()
                                                                              ,1
                                                                              ,2
                                                                              1 2
                                                                              ,3
                                                                              1 3
                                                                              2 3
                                                                              1 2 3
                                                                              ,4
                                                                              1 4


                                                                              Explanation:



                                                                              1+&|2: / the solution
                                                                              2: / convert to base-2
                                                                              | / reverse
                                                                              & / indices where true
                                                                              1+ / add 1





                                                                              share|improve this answer









                                                                              $endgroup$
















                                                                                2












                                                                                2








                                                                                2





                                                                                $begingroup$


                                                                                K4, 7 bytes



                                                                                Solution:



                                                                                1+&|2:


                                                                                Example:



                                                                                First 10...



                                                                                q)k)(1+&|2:)@'!10
                                                                                `long$()
                                                                                ,1
                                                                                ,2
                                                                                1 2
                                                                                ,3
                                                                                1 3
                                                                                2 3
                                                                                1 2 3
                                                                                ,4
                                                                                1 4


                                                                                Explanation:



                                                                                1+&|2: / the solution
                                                                                2: / convert to base-2
                                                                                | / reverse
                                                                                & / indices where true
                                                                                1+ / add 1





                                                                                share|improve this answer









                                                                                $endgroup$




                                                                                K4, 7 bytes



                                                                                Solution:



                                                                                1+&|2:


                                                                                Example:



                                                                                First 10...



                                                                                q)k)(1+&|2:)@'!10
                                                                                `long$()
                                                                                ,1
                                                                                ,2
                                                                                1 2
                                                                                ,3
                                                                                1 3
                                                                                2 3
                                                                                1 2 3
                                                                                ,4
                                                                                1 4


                                                                                Explanation:



                                                                                1+&|2: / the solution
                                                                                2: / convert to base-2
                                                                                | / reverse
                                                                                & / indices where true
                                                                                1+ / add 1






                                                                                share|improve this answer












                                                                                share|improve this answer



                                                                                share|improve this answer










                                                                                answered Nov 24 '18 at 14:33









                                                                                streetsterstreetster

                                                                                2,544515




                                                                                2,544515























                                                                                    2












                                                                                    $begingroup$

                                                                                    MATLAB/Octave, 31 29 27 bytes





                                                                                    @(n)9-find(dec2bin(n,8)-48)



                                                                                    • reduced of 2 bytes thanks to alephalpha


                                                                                    • reduced of 2 bytes thanks to Giuseppe



                                                                                    Try it online!






                                                                                    share|improve this answer











                                                                                    $endgroup$









                                                                                    • 1




                                                                                      $begingroup$
                                                                                      @(n)9-find(dec2bin(n,8)-48)
                                                                                      $endgroup$
                                                                                      – alephalpha
                                                                                      Nov 24 '18 at 16:35










                                                                                    • $begingroup$
                                                                                      @alephalpha Thanks!
                                                                                      $endgroup$
                                                                                      – PieCot
                                                                                      Nov 24 '18 at 16:37
















                                                                                    2












                                                                                    $begingroup$

                                                                                    MATLAB/Octave, 31 29 27 bytes





                                                                                    @(n)9-find(dec2bin(n,8)-48)



                                                                                    • reduced of 2 bytes thanks to alephalpha


                                                                                    • reduced of 2 bytes thanks to Giuseppe



                                                                                    Try it online!






                                                                                    share|improve this answer











                                                                                    $endgroup$









                                                                                    • 1




                                                                                      $begingroup$
                                                                                      @(n)9-find(dec2bin(n,8)-48)
                                                                                      $endgroup$
                                                                                      – alephalpha
                                                                                      Nov 24 '18 at 16:35










                                                                                    • $begingroup$
                                                                                      @alephalpha Thanks!
                                                                                      $endgroup$
                                                                                      – PieCot
                                                                                      Nov 24 '18 at 16:37














                                                                                    2












                                                                                    2








                                                                                    2





                                                                                    $begingroup$

                                                                                    MATLAB/Octave, 31 29 27 bytes





                                                                                    @(n)9-find(dec2bin(n,8)-48)



                                                                                    • reduced of 2 bytes thanks to alephalpha


                                                                                    • reduced of 2 bytes thanks to Giuseppe



                                                                                    Try it online!






                                                                                    share|improve this answer











                                                                                    $endgroup$



                                                                                    MATLAB/Octave, 31 29 27 bytes





                                                                                    @(n)9-find(dec2bin(n,8)-48)



                                                                                    • reduced of 2 bytes thanks to alephalpha


                                                                                    • reduced of 2 bytes thanks to Giuseppe



                                                                                    Try it online!







                                                                                    share|improve this answer














                                                                                    share|improve this answer



                                                                                    share|improve this answer








                                                                                    edited Nov 24 '18 at 17:52

























                                                                                    answered Nov 24 '18 at 16:23









                                                                                    PieCotPieCot

                                                                                    97959




                                                                                    97959








                                                                                    • 1




                                                                                      $begingroup$
                                                                                      @(n)9-find(dec2bin(n,8)-48)
                                                                                      $endgroup$
                                                                                      – alephalpha
                                                                                      Nov 24 '18 at 16:35










                                                                                    • $begingroup$
                                                                                      @alephalpha Thanks!
                                                                                      $endgroup$
                                                                                      – PieCot
                                                                                      Nov 24 '18 at 16:37














                                                                                    • 1




                                                                                      $begingroup$
                                                                                      @(n)9-find(dec2bin(n,8)-48)
                                                                                      $endgroup$
                                                                                      – alephalpha
                                                                                      Nov 24 '18 at 16:35










                                                                                    • $begingroup$
                                                                                      @alephalpha Thanks!
                                                                                      $endgroup$
                                                                                      – PieCot
                                                                                      Nov 24 '18 at 16:37








                                                                                    1




                                                                                    1




                                                                                    $begingroup$
                                                                                    @(n)9-find(dec2bin(n,8)-48)
                                                                                    $endgroup$
                                                                                    – alephalpha
                                                                                    Nov 24 '18 at 16:35




                                                                                    $begingroup$
                                                                                    @(n)9-find(dec2bin(n,8)-48)
                                                                                    $endgroup$
                                                                                    – alephalpha
                                                                                    Nov 24 '18 at 16:35












                                                                                    $begingroup$
                                                                                    @alephalpha Thanks!
                                                                                    $endgroup$
                                                                                    – PieCot
                                                                                    Nov 24 '18 at 16:37




                                                                                    $begingroup$
                                                                                    @alephalpha Thanks!
                                                                                    $endgroup$
                                                                                    – PieCot
                                                                                    Nov 24 '18 at 16:37











                                                                                    2












                                                                                    $begingroup$

                                                                                    Japt, 7 bytes



                                                                                    ì2 Ôi ð


                                                                                    Try it



                                                                                    ì2          :Convert to base-2 digit array
                                                                                    Ô :Reverse
                                                                                    i :Prepend null element
                                                                                    ð :0-based indices of truthy elements




                                                                                    ¤¬²Ôð¥1


                                                                                    Try it



                                                                                    ¤           :Convert to base-2 string
                                                                                    ¬ :Split
                                                                                    ² :Push 2
                                                                                    Ô :Reverse
                                                                                    ð :0-based indices of elements
                                                                                    ¥1 : Equal to 1





                                                                                    share|improve this answer











                                                                                    $endgroup$


















                                                                                      2












                                                                                      $begingroup$

                                                                                      Japt, 7 bytes



                                                                                      ì2 Ôi ð


                                                                                      Try it



                                                                                      ì2          :Convert to base-2 digit array
                                                                                      Ô :Reverse
                                                                                      i :Prepend null element
                                                                                      ð :0-based indices of truthy elements




                                                                                      ¤¬²Ôð¥1


                                                                                      Try it



                                                                                      ¤           :Convert to base-2 string
                                                                                      ¬ :Split
                                                                                      ² :Push 2
                                                                                      Ô :Reverse
                                                                                      ð :0-based indices of elements
                                                                                      ¥1 : Equal to 1





                                                                                      share|improve this answer











                                                                                      $endgroup$
















                                                                                        2












                                                                                        2








                                                                                        2





                                                                                        $begingroup$

                                                                                        Japt, 7 bytes



                                                                                        ì2 Ôi ð


                                                                                        Try it



                                                                                        ì2          :Convert to base-2 digit array
                                                                                        Ô :Reverse
                                                                                        i :Prepend null element
                                                                                        ð :0-based indices of truthy elements




                                                                                        ¤¬²Ôð¥1


                                                                                        Try it



                                                                                        ¤           :Convert to base-2 string
                                                                                        ¬ :Split
                                                                                        ² :Push 2
                                                                                        Ô :Reverse
                                                                                        ð :0-based indices of elements
                                                                                        ¥1 : Equal to 1





                                                                                        share|improve this answer











                                                                                        $endgroup$



                                                                                        Japt, 7 bytes



                                                                                        ì2 Ôi ð


                                                                                        Try it



                                                                                        ì2          :Convert to base-2 digit array
                                                                                        Ô :Reverse
                                                                                        i :Prepend null element
                                                                                        ð :0-based indices of truthy elements




                                                                                        ¤¬²Ôð¥1


                                                                                        Try it



                                                                                        ¤           :Convert to base-2 string
                                                                                        ¬ :Split
                                                                                        ² :Push 2
                                                                                        Ô :Reverse
                                                                                        ð :0-based indices of elements
                                                                                        ¥1 : Equal to 1






                                                                                        share|improve this answer














                                                                                        share|improve this answer



                                                                                        share|improve this answer








                                                                                        edited Nov 25 '18 at 17:22

























                                                                                        answered Nov 24 '18 at 14:16









                                                                                        ShaggyShaggy

                                                                                        20k21667




                                                                                        20k21667























                                                                                            1












                                                                                            $begingroup$


                                                                                            Husk, 5 bytes



                                                                                            `fN↔ḋ


                                                                                            Takes input as command-line argument not on stdin (I hope this is ok), try it online!



                                                                                            Explanation



                                                                                            `fN↔ḋ  -- example input: 6
                                                                                            ḋ -- convert to binary: [1,1,0]
                                                                                            ↔ -- reverse: [0,1,1]
                                                                                            ` -- flip the arguments of
                                                                                            fN -- | filter the natural numbers by another list
                                                                                            -- : [2,3]





                                                                                            share|improve this answer









                                                                                            $endgroup$


















                                                                                              1












                                                                                              $begingroup$


                                                                                              Husk, 5 bytes



                                                                                              `fN↔ḋ


                                                                                              Takes input as command-line argument not on stdin (I hope this is ok), try it online!



                                                                                              Explanation



                                                                                              `fN↔ḋ  -- example input: 6
                                                                                              ḋ -- convert to binary: [1,1,0]
                                                                                              ↔ -- reverse: [0,1,1]
                                                                                              ` -- flip the arguments of
                                                                                              fN -- | filter the natural numbers by another list
                                                                                              -- : [2,3]





                                                                                              share|improve this answer









                                                                                              $endgroup$
















                                                                                                1












                                                                                                1








                                                                                                1





                                                                                                $begingroup$


                                                                                                Husk, 5 bytes



                                                                                                `fN↔ḋ


                                                                                                Takes input as command-line argument not on stdin (I hope this is ok), try it online!



                                                                                                Explanation



                                                                                                `fN↔ḋ  -- example input: 6
                                                                                                ḋ -- convert to binary: [1,1,0]
                                                                                                ↔ -- reverse: [0,1,1]
                                                                                                ` -- flip the arguments of
                                                                                                fN -- | filter the natural numbers by another list
                                                                                                -- : [2,3]





                                                                                                share|improve this answer









                                                                                                $endgroup$




                                                                                                Husk, 5 bytes



                                                                                                `fN↔ḋ


                                                                                                Takes input as command-line argument not on stdin (I hope this is ok), try it online!



                                                                                                Explanation



                                                                                                `fN↔ḋ  -- example input: 6
                                                                                                ḋ -- convert to binary: [1,1,0]
                                                                                                ↔ -- reverse: [0,1,1]
                                                                                                ` -- flip the arguments of
                                                                                                fN -- | filter the natural numbers by another list
                                                                                                -- : [2,3]






                                                                                                share|improve this answer












                                                                                                share|improve this answer



                                                                                                share|improve this answer










                                                                                                answered Nov 24 '18 at 14:04









                                                                                                BMOBMO

                                                                                                11.8k22392




                                                                                                11.8k22392























                                                                                                    1












                                                                                                    $begingroup$


                                                                                                    Haskell, 55 54 bytes





                                                                                                    s n=[x|(x,d)<-zip[8,7..]$mapM(pure[0,1])[1..8]!!n,d>0]


                                                                                                    Outputs the set in reversed order, try it online!



                                                                                                    General version, 56 bytes



                                                                                                    This will work for sets larger than ${i}_{i=1}^8$:



                                                                                                    s n=[x|(x,d)<-zip[n,n-1..]$mapM(pure[0,1])[1..n]!!n,d>0]


                                                                                                    Try it online!



                                                                                                    Explanation



                                                                                                    The term mapM (pure [0,1]) [1..n] generates the list (n=4) [[0,0,0,0],[0,0,0,1],[0,0,1,0],..,[1,1,1,1]] - ie. the binary representations of [0..2^n-1]. Indexing into it with n gives us the binary representation of n.



                                                                                                    Now we can just zip it with the reversed numbers [1..n] and only keep the elements where the binary-digit is non-zero:



                                                                                                     [ x | (x,digit) <- zip [n,n-1,..1] binaryRepN, digit > 0 ]





                                                                                                    share|improve this answer











                                                                                                    $endgroup$


















                                                                                                      1












                                                                                                      $begingroup$


                                                                                                      Haskell, 55 54 bytes





                                                                                                      s n=[x|(x,d)<-zip[8,7..]$mapM(pure[0,1])[1..8]!!n,d>0]


                                                                                                      Outputs the set in reversed order, try it online!



                                                                                                      General version, 56 bytes



                                                                                                      This will work for sets larger than ${i}_{i=1}^8$:



                                                                                                      s n=[x|(x,d)<-zip[n,n-1..]$mapM(pure[0,1])[1..n]!!n,d>0]


                                                                                                      Try it online!



                                                                                                      Explanation



                                                                                                      The term mapM (pure [0,1]) [1..n] generates the list (n=4) [[0,0,0,0],[0,0,0,1],[0,0,1,0],..,[1,1,1,1]] - ie. the binary representations of [0..2^n-1]. Indexing into it with n gives us the binary representation of n.



                                                                                                      Now we can just zip it with the reversed numbers [1..n] and only keep the elements where the binary-digit is non-zero:



                                                                                                       [ x | (x,digit) <- zip [n,n-1,..1] binaryRepN, digit > 0 ]





                                                                                                      share|improve this answer











                                                                                                      $endgroup$
















                                                                                                        1












                                                                                                        1








                                                                                                        1





                                                                                                        $begingroup$


                                                                                                        Haskell, 55 54 bytes





                                                                                                        s n=[x|(x,d)<-zip[8,7..]$mapM(pure[0,1])[1..8]!!n,d>0]


                                                                                                        Outputs the set in reversed order, try it online!



                                                                                                        General version, 56 bytes



                                                                                                        This will work for sets larger than ${i}_{i=1}^8$:



                                                                                                        s n=[x|(x,d)<-zip[n,n-1..]$mapM(pure[0,1])[1..n]!!n,d>0]


                                                                                                        Try it online!



                                                                                                        Explanation



                                                                                                        The term mapM (pure [0,1]) [1..n] generates the list (n=4) [[0,0,0,0],[0,0,0,1],[0,0,1,0],..,[1,1,1,1]] - ie. the binary representations of [0..2^n-1]. Indexing into it with n gives us the binary representation of n.



                                                                                                        Now we can just zip it with the reversed numbers [1..n] and only keep the elements where the binary-digit is non-zero:



                                                                                                         [ x | (x,digit) <- zip [n,n-1,..1] binaryRepN, digit > 0 ]





                                                                                                        share|improve this answer











                                                                                                        $endgroup$




                                                                                                        Haskell, 55 54 bytes





                                                                                                        s n=[x|(x,d)<-zip[8,7..]$mapM(pure[0,1])[1..8]!!n,d>0]


                                                                                                        Outputs the set in reversed order, try it online!



                                                                                                        General version, 56 bytes



                                                                                                        This will work for sets larger than ${i}_{i=1}^8$:



                                                                                                        s n=[x|(x,d)<-zip[n,n-1..]$mapM(pure[0,1])[1..n]!!n,d>0]


                                                                                                        Try it online!



                                                                                                        Explanation



                                                                                                        The term mapM (pure [0,1]) [1..n] generates the list (n=4) [[0,0,0,0],[0,0,0,1],[0,0,1,0],..,[1,1,1,1]] - ie. the binary representations of [0..2^n-1]. Indexing into it with n gives us the binary representation of n.



                                                                                                        Now we can just zip it with the reversed numbers [1..n] and only keep the elements where the binary-digit is non-zero:



                                                                                                         [ x | (x,digit) <- zip [n,n-1,..1] binaryRepN, digit > 0 ]






                                                                                                        share|improve this answer














                                                                                                        share|improve this answer



                                                                                                        share|improve this answer








                                                                                                        edited Nov 24 '18 at 14:30

























                                                                                                        answered Nov 24 '18 at 14:23









                                                                                                        BMOBMO

                                                                                                        11.8k22392




                                                                                                        11.8k22392























                                                                                                            1












                                                                                                            $begingroup$


                                                                                                            Charcoal, 11 bytes



                                                                                                            ↓⭆⮌↨N²×ιI⊕κ


                                                                                                            Try it online! Link is to verbose version of code. If printing the answer horizontally without spaces is acceptable then the first character can be removed. Explanation:



                                                                                                                N       Input as a number
                                                                                                            ↨ Converted to base
                                                                                                            ² Literal 2
                                                                                                            ⮌ Reversed
                                                                                                            ⭆ Map over bits and join
                                                                                                            κ Current index (0-indexed)
                                                                                                            ⊕ Incremented
                                                                                                            I Cast to string
                                                                                                            ι Current bit
                                                                                                            × Repeat string
                                                                                                            ↓ Print vertically





                                                                                                            share|improve this answer









                                                                                                            $endgroup$


















                                                                                                              1












                                                                                                              $begingroup$


                                                                                                              Charcoal, 11 bytes



                                                                                                              ↓⭆⮌↨N²×ιI⊕κ


                                                                                                              Try it online! Link is to verbose version of code. If printing the answer horizontally without spaces is acceptable then the first character can be removed. Explanation:



                                                                                                                  N       Input as a number
                                                                                                              ↨ Converted to base
                                                                                                              ² Literal 2
                                                                                                              ⮌ Reversed
                                                                                                              ⭆ Map over bits and join
                                                                                                              κ Current index (0-indexed)
                                                                                                              ⊕ Incremented
                                                                                                              I Cast to string
                                                                                                              ι Current bit
                                                                                                              × Repeat string
                                                                                                              ↓ Print vertically





                                                                                                              share|improve this answer









                                                                                                              $endgroup$
















                                                                                                                1












                                                                                                                1








                                                                                                                1





                                                                                                                $begingroup$


                                                                                                                Charcoal, 11 bytes



                                                                                                                ↓⭆⮌↨N²×ιI⊕κ


                                                                                                                Try it online! Link is to verbose version of code. If printing the answer horizontally without spaces is acceptable then the first character can be removed. Explanation:



                                                                                                                    N       Input as a number
                                                                                                                ↨ Converted to base
                                                                                                                ² Literal 2
                                                                                                                ⮌ Reversed
                                                                                                                ⭆ Map over bits and join
                                                                                                                κ Current index (0-indexed)
                                                                                                                ⊕ Incremented
                                                                                                                I Cast to string
                                                                                                                ι Current bit
                                                                                                                × Repeat string
                                                                                                                ↓ Print vertically





                                                                                                                share|improve this answer









                                                                                                                $endgroup$




                                                                                                                Charcoal, 11 bytes



                                                                                                                ↓⭆⮌↨N²×ιI⊕κ


                                                                                                                Try it online! Link is to verbose version of code. If printing the answer horizontally without spaces is acceptable then the first character can be removed. Explanation:



                                                                                                                    N       Input as a number
                                                                                                                ↨ Converted to base
                                                                                                                ² Literal 2
                                                                                                                ⮌ Reversed
                                                                                                                ⭆ Map over bits and join
                                                                                                                κ Current index (0-indexed)
                                                                                                                ⊕ Incremented
                                                                                                                I Cast to string
                                                                                                                ι Current bit
                                                                                                                × Repeat string
                                                                                                                ↓ Print vertically






                                                                                                                share|improve this answer












                                                                                                                share|improve this answer



                                                                                                                share|improve this answer










                                                                                                                answered Nov 24 '18 at 14:34









                                                                                                                NeilNeil

                                                                                                                80.8k744178




                                                                                                                80.8k744178























                                                                                                                    1












                                                                                                                    $begingroup$

                                                                                                                    JavaScript (ES6), 37 bytes



                                                                                                                    +4 bytes if a separator is mandatory
                                                                                                                    +3 bytes if this separator is a comma and a leading comma is allowed





                                                                                                                    f=(n,i=1)=>n?(n&1?i:'')+f(n/2,i+1):''


                                                                                                                    Try it online!






                                                                                                                    share|improve this answer









                                                                                                                    $endgroup$


















                                                                                                                      1












                                                                                                                      $begingroup$

                                                                                                                      JavaScript (ES6), 37 bytes



                                                                                                                      +4 bytes if a separator is mandatory
                                                                                                                      +3 bytes if this separator is a comma and a leading comma is allowed





                                                                                                                      f=(n,i=1)=>n?(n&1?i:'')+f(n/2,i+1):''


                                                                                                                      Try it online!






                                                                                                                      share|improve this answer









                                                                                                                      $endgroup$
















                                                                                                                        1












                                                                                                                        1








                                                                                                                        1





                                                                                                                        $begingroup$

                                                                                                                        JavaScript (ES6), 37 bytes



                                                                                                                        +4 bytes if a separator is mandatory
                                                                                                                        +3 bytes if this separator is a comma and a leading comma is allowed





                                                                                                                        f=(n,i=1)=>n?(n&1?i:'')+f(n/2,i+1):''


                                                                                                                        Try it online!






                                                                                                                        share|improve this answer









                                                                                                                        $endgroup$



                                                                                                                        JavaScript (ES6), 37 bytes



                                                                                                                        +4 bytes if a separator is mandatory
                                                                                                                        +3 bytes if this separator is a comma and a leading comma is allowed





                                                                                                                        f=(n,i=1)=>n?(n&1?i:'')+f(n/2,i+1):''


                                                                                                                        Try it online!







                                                                                                                        share|improve this answer












                                                                                                                        share|improve this answer



                                                                                                                        share|improve this answer










                                                                                                                        answered Nov 24 '18 at 14:50









                                                                                                                        ArnauldArnauld

                                                                                                                        76.2k693321




                                                                                                                        76.2k693321























                                                                                                                            1












                                                                                                                            $begingroup$


                                                                                                                            Perl 6, 21 bytes





                                                                                                                            {1 X+grep $_+>*%2,^8}


                                                                                                                            Try it online!



                                                                                                                            Alternative:



                                                                                                                            {grep $_*2+>*%2,1..8}





                                                                                                                            share|improve this answer











                                                                                                                            $endgroup$


















                                                                                                                              1












                                                                                                                              $begingroup$


                                                                                                                              Perl 6, 21 bytes





                                                                                                                              {1 X+grep $_+>*%2,^8}


                                                                                                                              Try it online!



                                                                                                                              Alternative:



                                                                                                                              {grep $_*2+>*%2,1..8}





                                                                                                                              share|improve this answer











                                                                                                                              $endgroup$
















                                                                                                                                1












                                                                                                                                1








                                                                                                                                1





                                                                                                                                $begingroup$


                                                                                                                                Perl 6, 21 bytes





                                                                                                                                {1 X+grep $_+>*%2,^8}


                                                                                                                                Try it online!



                                                                                                                                Alternative:



                                                                                                                                {grep $_*2+>*%2,1..8}





                                                                                                                                share|improve this answer











                                                                                                                                $endgroup$




                                                                                                                                Perl 6, 21 bytes





                                                                                                                                {1 X+grep $_+>*%2,^8}


                                                                                                                                Try it online!



                                                                                                                                Alternative:



                                                                                                                                {grep $_*2+>*%2,1..8}






                                                                                                                                share|improve this answer














                                                                                                                                share|improve this answer



                                                                                                                                share|improve this answer








                                                                                                                                edited Nov 24 '18 at 16:05

























                                                                                                                                answered Nov 24 '18 at 15:38









                                                                                                                                nwellnhofnwellnhof

                                                                                                                                6,78511126




                                                                                                                                6,78511126























                                                                                                                                    1












                                                                                                                                    $begingroup$

                                                                                                                                    Common Lisp, 57 bytes



                                                                                                                                    (lambda(x)(dotimes(i 7)(format(logbitp i x)"~a "(1+ i))))


                                                                                                                                    Try it online!






                                                                                                                                    share|improve this answer









                                                                                                                                    $endgroup$


















                                                                                                                                      1












                                                                                                                                      $begingroup$

                                                                                                                                      Common Lisp, 57 bytes



                                                                                                                                      (lambda(x)(dotimes(i 7)(format(logbitp i x)"~a "(1+ i))))


                                                                                                                                      Try it online!






                                                                                                                                      share|improve this answer









                                                                                                                                      $endgroup$
















                                                                                                                                        1












                                                                                                                                        1








                                                                                                                                        1





                                                                                                                                        $begingroup$

                                                                                                                                        Common Lisp, 57 bytes



                                                                                                                                        (lambda(x)(dotimes(i 7)(format(logbitp i x)"~a "(1+ i))))


                                                                                                                                        Try it online!






                                                                                                                                        share|improve this answer









                                                                                                                                        $endgroup$



                                                                                                                                        Common Lisp, 57 bytes



                                                                                                                                        (lambda(x)(dotimes(i 7)(format(logbitp i x)"~a "(1+ i))))


                                                                                                                                        Try it online!







                                                                                                                                        share|improve this answer












                                                                                                                                        share|improve this answer



                                                                                                                                        share|improve this answer










                                                                                                                                        answered Nov 24 '18 at 16:06









                                                                                                                                        RenzoRenzo

                                                                                                                                        1,770516




                                                                                                                                        1,770516























                                                                                                                                            1












                                                                                                                                            $begingroup$


                                                                                                                                            Haskell, 33 bytes





                                                                                                                                            s n=[x+1|x<-[0..7],odd$div n$2^x]


                                                                                                                                            Try it online!





                                                                                                                                            37 bytes





                                                                                                                                            concat.(mapM(i->[,[i]])[8,7..1]!!)


                                                                                                                                            Try it online!



                                                                                                                                            Test cases from nimi.






                                                                                                                                            share|improve this answer









                                                                                                                                            $endgroup$


















                                                                                                                                              1












                                                                                                                                              $begingroup$


                                                                                                                                              Haskell, 33 bytes





                                                                                                                                              s n=[x+1|x<-[0..7],odd$div n$2^x]


                                                                                                                                              Try it online!





                                                                                                                                              37 bytes





                                                                                                                                              concat.(mapM(i->[,[i]])[8,7..1]!!)


                                                                                                                                              Try it online!



                                                                                                                                              Test cases from nimi.






                                                                                                                                              share|improve this answer









                                                                                                                                              $endgroup$
















                                                                                                                                                1












                                                                                                                                                1








                                                                                                                                                1





                                                                                                                                                $begingroup$


                                                                                                                                                Haskell, 33 bytes





                                                                                                                                                s n=[x+1|x<-[0..7],odd$div n$2^x]


                                                                                                                                                Try it online!





                                                                                                                                                37 bytes





                                                                                                                                                concat.(mapM(i->[,[i]])[8,7..1]!!)


                                                                                                                                                Try it online!



                                                                                                                                                Test cases from nimi.






                                                                                                                                                share|improve this answer









                                                                                                                                                $endgroup$




                                                                                                                                                Haskell, 33 bytes





                                                                                                                                                s n=[x+1|x<-[0..7],odd$div n$2^x]


                                                                                                                                                Try it online!





                                                                                                                                                37 bytes





                                                                                                                                                concat.(mapM(i->[,[i]])[8,7..1]!!)


                                                                                                                                                Try it online!



                                                                                                                                                Test cases from nimi.







                                                                                                                                                share|improve this answer












                                                                                                                                                share|improve this answer



                                                                                                                                                share|improve this answer










                                                                                                                                                answered Nov 24 '18 at 16:14









                                                                                                                                                xnorxnor

                                                                                                                                                90.7k18186439




                                                                                                                                                90.7k18186439























                                                                                                                                                    1












                                                                                                                                                    $begingroup$


                                                                                                                                                    C# (Visual C# Interactive Compiler), 49 bytes





                                                                                                                                                    x=>Enumerable.Range(1,8).Where(y=>(1&x>>(y-1))>0)


                                                                                                                                                    Try it online!



                                                                                                                                                    This solution uses pretty straightforward bit manipulation. While I don't think that 0-based indexing is allowed, I came up with a slightly shorter version that uses it...




                                                                                                                                                    C# (Visual C# Interactive Compiler), 45 bytes





                                                                                                                                                    x=>Enumerable.Range(0,8).Where(y=>(1&x>>y)>0)


                                                                                                                                                    Try it online!






                                                                                                                                                    share|improve this answer











                                                                                                                                                    $endgroup$


















                                                                                                                                                      1












                                                                                                                                                      $begingroup$


                                                                                                                                                      C# (Visual C# Interactive Compiler), 49 bytes





                                                                                                                                                      x=>Enumerable.Range(1,8).Where(y=>(1&x>>(y-1))>0)


                                                                                                                                                      Try it online!



                                                                                                                                                      This solution uses pretty straightforward bit manipulation. While I don't think that 0-based indexing is allowed, I came up with a slightly shorter version that uses it...




                                                                                                                                                      C# (Visual C# Interactive Compiler), 45 bytes





                                                                                                                                                      x=>Enumerable.Range(0,8).Where(y=>(1&x>>y)>0)


                                                                                                                                                      Try it online!






                                                                                                                                                      share|improve this answer











                                                                                                                                                      $endgroup$
















                                                                                                                                                        1












                                                                                                                                                        1








                                                                                                                                                        1





                                                                                                                                                        $begingroup$


                                                                                                                                                        C# (Visual C# Interactive Compiler), 49 bytes





                                                                                                                                                        x=>Enumerable.Range(1,8).Where(y=>(1&x>>(y-1))>0)


                                                                                                                                                        Try it online!



                                                                                                                                                        This solution uses pretty straightforward bit manipulation. While I don't think that 0-based indexing is allowed, I came up with a slightly shorter version that uses it...




                                                                                                                                                        C# (Visual C# Interactive Compiler), 45 bytes





                                                                                                                                                        x=>Enumerable.Range(0,8).Where(y=>(1&x>>y)>0)


                                                                                                                                                        Try it online!






                                                                                                                                                        share|improve this answer











                                                                                                                                                        $endgroup$




                                                                                                                                                        C# (Visual C# Interactive Compiler), 49 bytes





                                                                                                                                                        x=>Enumerable.Range(1,8).Where(y=>(1&x>>(y-1))>0)


                                                                                                                                                        Try it online!



                                                                                                                                                        This solution uses pretty straightforward bit manipulation. While I don't think that 0-based indexing is allowed, I came up with a slightly shorter version that uses it...




                                                                                                                                                        C# (Visual C# Interactive Compiler), 45 bytes





                                                                                                                                                        x=>Enumerable.Range(0,8).Where(y=>(1&x>>y)>0)


                                                                                                                                                        Try it online!







                                                                                                                                                        share|improve this answer














                                                                                                                                                        share|improve this answer



                                                                                                                                                        share|improve this answer








                                                                                                                                                        edited Nov 25 '18 at 16:14

























                                                                                                                                                        answered Nov 25 '18 at 7:21









                                                                                                                                                        danadana

                                                                                                                                                        1,081165




                                                                                                                                                        1,081165























                                                                                                                                                            1












                                                                                                                                                            $begingroup$


                                                                                                                                                            J, 13 10 bytes



                                                                                                                                                            -3 bytes thanks to Bubbler

                                                                                                                                                            1+I.@|.@#:


                                                                                                                                                            Try it online!






                                                                                                                                                            share|improve this answer











                                                                                                                                                            $endgroup$









                                                                                                                                                            • 1




                                                                                                                                                              $begingroup$
                                                                                                                                                              10 bytes.
                                                                                                                                                              $endgroup$
                                                                                                                                                              – Bubbler
                                                                                                                                                              Nov 26 '18 at 0:57










                                                                                                                                                            • $begingroup$
                                                                                                                                                              @Bubbler Thanks! I thought I tried this - apparently not :)
                                                                                                                                                              $endgroup$
                                                                                                                                                              – Galen Ivanov
                                                                                                                                                              Nov 26 '18 at 4:41
















                                                                                                                                                            1












                                                                                                                                                            $begingroup$


                                                                                                                                                            J, 13 10 bytes



                                                                                                                                                            -3 bytes thanks to Bubbler

                                                                                                                                                            1+I.@|.@#:


                                                                                                                                                            Try it online!






                                                                                                                                                            share|improve this answer











                                                                                                                                                            $endgroup$









                                                                                                                                                            • 1




                                                                                                                                                              $begingroup$
                                                                                                                                                              10 bytes.
                                                                                                                                                              $endgroup$
                                                                                                                                                              – Bubbler
                                                                                                                                                              Nov 26 '18 at 0:57










                                                                                                                                                            • $begingroup$
                                                                                                                                                              @Bubbler Thanks! I thought I tried this - apparently not :)
                                                                                                                                                              $endgroup$
                                                                                                                                                              – Galen Ivanov
                                                                                                                                                              Nov 26 '18 at 4:41














                                                                                                                                                            1












                                                                                                                                                            1








                                                                                                                                                            1





                                                                                                                                                            $begingroup$


                                                                                                                                                            J, 13 10 bytes



                                                                                                                                                            -3 bytes thanks to Bubbler

                                                                                                                                                            1+I.@|.@#:


                                                                                                                                                            Try it online!






                                                                                                                                                            share|improve this answer











                                                                                                                                                            $endgroup$




                                                                                                                                                            J, 13 10 bytes



                                                                                                                                                            -3 bytes thanks to Bubbler

                                                                                                                                                            1+I.@|.@#:


                                                                                                                                                            Try it online!







                                                                                                                                                            share|improve this answer














                                                                                                                                                            share|improve this answer



                                                                                                                                                            share|improve this answer








                                                                                                                                                            edited Nov 26 '18 at 4:40

























                                                                                                                                                            answered Nov 24 '18 at 14:59









                                                                                                                                                            Galen IvanovGalen Ivanov

                                                                                                                                                            6,78711033




                                                                                                                                                            6,78711033








                                                                                                                                                            • 1




                                                                                                                                                              $begingroup$
                                                                                                                                                              10 bytes.
                                                                                                                                                              $endgroup$
                                                                                                                                                              – Bubbler
                                                                                                                                                              Nov 26 '18 at 0:57










                                                                                                                                                            • $begingroup$
                                                                                                                                                              @Bubbler Thanks! I thought I tried this - apparently not :)
                                                                                                                                                              $endgroup$
                                                                                                                                                              – Galen Ivanov
                                                                                                                                                              Nov 26 '18 at 4:41














                                                                                                                                                            • 1




                                                                                                                                                              $begingroup$
                                                                                                                                                              10 bytes.
                                                                                                                                                              $endgroup$
                                                                                                                                                              – Bubbler
                                                                                                                                                              Nov 26 '18 at 0:57










                                                                                                                                                            • $begingroup$
                                                                                                                                                              @Bubbler Thanks! I thought I tried this - apparently not :)
                                                                                                                                                              $endgroup$
                                                                                                                                                              – Galen Ivanov
                                                                                                                                                              Nov 26 '18 at 4:41








                                                                                                                                                            1




                                                                                                                                                            1




                                                                                                                                                            $begingroup$
                                                                                                                                                            10 bytes.
                                                                                                                                                            $endgroup$
                                                                                                                                                            – Bubbler
                                                                                                                                                            Nov 26 '18 at 0:57




                                                                                                                                                            $begingroup$
                                                                                                                                                            10 bytes.
                                                                                                                                                            $endgroup$
                                                                                                                                                            – Bubbler
                                                                                                                                                            Nov 26 '18 at 0:57












                                                                                                                                                            $begingroup$
                                                                                                                                                            @Bubbler Thanks! I thought I tried this - apparently not :)
                                                                                                                                                            $endgroup$
                                                                                                                                                            – Galen Ivanov
                                                                                                                                                            Nov 26 '18 at 4:41




                                                                                                                                                            $begingroup$
                                                                                                                                                            @Bubbler Thanks! I thought I tried this - apparently not :)
                                                                                                                                                            $endgroup$
                                                                                                                                                            – Galen Ivanov
                                                                                                                                                            Nov 26 '18 at 4:41











                                                                                                                                                            0












                                                                                                                                                            $begingroup$

                                                                                                                                                            Python 3.6, 58 bytes



                                                                                                                                                            f=lambda n:[8-v for v,i in enumerate(f'{n:08b}')if int(i)]





                                                                                                                                                            share|improve this answer











                                                                                                                                                            $endgroup$


















                                                                                                                                                              0












                                                                                                                                                              $begingroup$

                                                                                                                                                              Python 3.6, 58 bytes



                                                                                                                                                              f=lambda n:[8-v for v,i in enumerate(f'{n:08b}')if int(i)]





                                                                                                                                                              share|improve this answer











                                                                                                                                                              $endgroup$
















                                                                                                                                                                0












                                                                                                                                                                0








                                                                                                                                                                0





                                                                                                                                                                $begingroup$

                                                                                                                                                                Python 3.6, 58 bytes



                                                                                                                                                                f=lambda n:[8-v for v,i in enumerate(f'{n:08b}')if int(i)]





                                                                                                                                                                share|improve this answer











                                                                                                                                                                $endgroup$



                                                                                                                                                                Python 3.6, 58 bytes



                                                                                                                                                                f=lambda n:[8-v for v,i in enumerate(f'{n:08b}')if int(i)]






                                                                                                                                                                share|improve this answer














                                                                                                                                                                share|improve this answer



                                                                                                                                                                share|improve this answer








                                                                                                                                                                edited Nov 24 '18 at 14:36

























                                                                                                                                                                answered Nov 24 '18 at 14:31









                                                                                                                                                                PieCotPieCot

                                                                                                                                                                97959




                                                                                                                                                                97959























                                                                                                                                                                    0












                                                                                                                                                                    $begingroup$


                                                                                                                                                                    Wolfram Language (Mathematica), 32 bytes



                                                                                                                                                                    Pick[r=Range@8,BitGet[#,r-1],1]&


                                                                                                                                                                    Try it online!






                                                                                                                                                                    share|improve this answer









                                                                                                                                                                    $endgroup$


















                                                                                                                                                                      0












                                                                                                                                                                      $begingroup$


                                                                                                                                                                      Wolfram Language (Mathematica), 32 bytes



                                                                                                                                                                      Pick[r=Range@8,BitGet[#,r-1],1]&


                                                                                                                                                                      Try it online!






                                                                                                                                                                      share|improve this answer









                                                                                                                                                                      $endgroup$
















                                                                                                                                                                        0












                                                                                                                                                                        0








                                                                                                                                                                        0





                                                                                                                                                                        $begingroup$


                                                                                                                                                                        Wolfram Language (Mathematica), 32 bytes



                                                                                                                                                                        Pick[r=Range@8,BitGet[#,r-1],1]&


                                                                                                                                                                        Try it online!






                                                                                                                                                                        share|improve this answer









                                                                                                                                                                        $endgroup$




                                                                                                                                                                        Wolfram Language (Mathematica), 32 bytes



                                                                                                                                                                        Pick[r=Range@8,BitGet[#,r-1],1]&


                                                                                                                                                                        Try it online!







                                                                                                                                                                        share|improve this answer












                                                                                                                                                                        share|improve this answer



                                                                                                                                                                        share|improve this answer










                                                                                                                                                                        answered Nov 24 '18 at 15:15









                                                                                                                                                                        alephalphaalephalpha

                                                                                                                                                                        21.3k32991




                                                                                                                                                                        21.3k32991























                                                                                                                                                                            0












                                                                                                                                                                            $begingroup$


                                                                                                                                                                            Pari/GP, 31 bytes



                                                                                                                                                                            n->[x|x<-[1..8],bittest(n,x-1)]


                                                                                                                                                                            Try it online!






                                                                                                                                                                            share|improve this answer









                                                                                                                                                                            $endgroup$


















                                                                                                                                                                              0












                                                                                                                                                                              $begingroup$


                                                                                                                                                                              Pari/GP, 31 bytes



                                                                                                                                                                              n->[x|x<-[1..8],bittest(n,x-1)]


                                                                                                                                                                              Try it online!






                                                                                                                                                                              share|improve this answer









                                                                                                                                                                              $endgroup$
















                                                                                                                                                                                0












                                                                                                                                                                                0








                                                                                                                                                                                0





                                                                                                                                                                                $begingroup$


                                                                                                                                                                                Pari/GP, 31 bytes



                                                                                                                                                                                n->[x|x<-[1..8],bittest(n,x-1)]


                                                                                                                                                                                Try it online!






                                                                                                                                                                                share|improve this answer









                                                                                                                                                                                $endgroup$




                                                                                                                                                                                Pari/GP, 31 bytes



                                                                                                                                                                                n->[x|x<-[1..8],bittest(n,x-1)]


                                                                                                                                                                                Try it online!







                                                                                                                                                                                share|improve this answer












                                                                                                                                                                                share|improve this answer



                                                                                                                                                                                share|improve this answer










                                                                                                                                                                                answered Nov 24 '18 at 15:16









                                                                                                                                                                                alephalphaalephalpha

                                                                                                                                                                                21.3k32991




                                                                                                                                                                                21.3k32991























                                                                                                                                                                                    0












                                                                                                                                                                                    $begingroup$

                                                                                                                                                                                    APL+WIN, 13 bytes



                                                                                                                                                                                    Prompts for N:



                                                                                                                                                                                    ((8⍴2)⊤⎕)/⌽⍳8


                                                                                                                                                                                    Try it online! Courtesy of Dyalog Classic



                                                                                                                                                                                    Explanation:



                                                                                                                                                                                    ((8⍴2)⊤⎕) prompt for N and convert to binary

                                                                                                                                                                                    /⌽⍳8 generate a vector from 1 to 8, reverse and select integers according to 1s in binary


                                                                                                                                                                                    Returns subset in reverse order






                                                                                                                                                                                    share|improve this answer











                                                                                                                                                                                    $endgroup$


















                                                                                                                                                                                      0












                                                                                                                                                                                      $begingroup$

                                                                                                                                                                                      APL+WIN, 13 bytes



                                                                                                                                                                                      Prompts for N:



                                                                                                                                                                                      ((8⍴2)⊤⎕)/⌽⍳8


                                                                                                                                                                                      Try it online! Courtesy of Dyalog Classic



                                                                                                                                                                                      Explanation:



                                                                                                                                                                                      ((8⍴2)⊤⎕) prompt for N and convert to binary

                                                                                                                                                                                      /⌽⍳8 generate a vector from 1 to 8, reverse and select integers according to 1s in binary


                                                                                                                                                                                      Returns subset in reverse order






                                                                                                                                                                                      share|improve this answer











                                                                                                                                                                                      $endgroup$
















                                                                                                                                                                                        0












                                                                                                                                                                                        0








                                                                                                                                                                                        0





                                                                                                                                                                                        $begingroup$

                                                                                                                                                                                        APL+WIN, 13 bytes



                                                                                                                                                                                        Prompts for N:



                                                                                                                                                                                        ((8⍴2)⊤⎕)/⌽⍳8


                                                                                                                                                                                        Try it online! Courtesy of Dyalog Classic



                                                                                                                                                                                        Explanation:



                                                                                                                                                                                        ((8⍴2)⊤⎕) prompt for N and convert to binary

                                                                                                                                                                                        /⌽⍳8 generate a vector from 1 to 8, reverse and select integers according to 1s in binary


                                                                                                                                                                                        Returns subset in reverse order






                                                                                                                                                                                        share|improve this answer











                                                                                                                                                                                        $endgroup$



                                                                                                                                                                                        APL+WIN, 13 bytes



                                                                                                                                                                                        Prompts for N:



                                                                                                                                                                                        ((8⍴2)⊤⎕)/⌽⍳8


                                                                                                                                                                                        Try it online! Courtesy of Dyalog Classic



                                                                                                                                                                                        Explanation:



                                                                                                                                                                                        ((8⍴2)⊤⎕) prompt for N and convert to binary

                                                                                                                                                                                        /⌽⍳8 generate a vector from 1 to 8, reverse and select integers according to 1s in binary


                                                                                                                                                                                        Returns subset in reverse order







                                                                                                                                                                                        share|improve this answer














                                                                                                                                                                                        share|improve this answer



                                                                                                                                                                                        share|improve this answer








                                                                                                                                                                                        edited Nov 24 '18 at 15:57

























                                                                                                                                                                                        answered Nov 24 '18 at 15:32









                                                                                                                                                                                        GrahamGraham

                                                                                                                                                                                        2,32678




                                                                                                                                                                                        2,32678























                                                                                                                                                                                            0












                                                                                                                                                                                            $begingroup$

                                                                                                                                                                                            Burlesque - 8 bytes



                                                                                                                                                                                            8roR@j!!


                                                                                                                                                                                            Try it online.






                                                                                                                                                                                            share|improve this answer









                                                                                                                                                                                            $endgroup$


















                                                                                                                                                                                              0












                                                                                                                                                                                              $begingroup$

                                                                                                                                                                                              Burlesque - 8 bytes



                                                                                                                                                                                              8roR@j!!


                                                                                                                                                                                              Try it online.






                                                                                                                                                                                              share|improve this answer









                                                                                                                                                                                              $endgroup$
















                                                                                                                                                                                                0












                                                                                                                                                                                                0








                                                                                                                                                                                                0





                                                                                                                                                                                                $begingroup$

                                                                                                                                                                                                Burlesque - 8 bytes



                                                                                                                                                                                                8roR@j!!


                                                                                                                                                                                                Try it online.






                                                                                                                                                                                                share|improve this answer









                                                                                                                                                                                                $endgroup$



                                                                                                                                                                                                Burlesque - 8 bytes



                                                                                                                                                                                                8roR@j!!


                                                                                                                                                                                                Try it online.







                                                                                                                                                                                                share|improve this answer












                                                                                                                                                                                                share|improve this answer



                                                                                                                                                                                                share|improve this answer










                                                                                                                                                                                                answered Nov 25 '18 at 11:13









                                                                                                                                                                                                mromanmroman

                                                                                                                                                                                                1,102613




                                                                                                                                                                                                1,102613























                                                                                                                                                                                                    0












                                                                                                                                                                                                    $begingroup$

                                                                                                                                                                                                    Oracle SQL, 77 bytes



                                                                                                                                                                                                    select*from(select rownum r,value(p)from t,table(powermultiset(x))p)where:n=r


                                                                                                                                                                                                    Test in SQL Plus



                                                                                                                                                                                                    SQL> var n number
                                                                                                                                                                                                    SQL> exec :n:=67;

                                                                                                                                                                                                    PL/SQL procedure successfully completed.

                                                                                                                                                                                                    SQL> with t as (select ku$_vcnt(1,2,3,4,5,6,7,8) x from dual)
                                                                                                                                                                                                    2 select*from(select rownum r,value(p)from t,table(powermultiset(x))p)where:n=r
                                                                                                                                                                                                    3 /
                                                                                                                                                                                                    67
                                                                                                                                                                                                    KU$_VCNT('1', '2', '7')





                                                                                                                                                                                                    share|improve this answer









                                                                                                                                                                                                    $endgroup$


















                                                                                                                                                                                                      0












                                                                                                                                                                                                      $begingroup$

                                                                                                                                                                                                      Oracle SQL, 77 bytes



                                                                                                                                                                                                      select*from(select rownum r,value(p)from t,table(powermultiset(x))p)where:n=r


                                                                                                                                                                                                      Test in SQL Plus



                                                                                                                                                                                                      SQL> var n number
                                                                                                                                                                                                      SQL> exec :n:=67;

                                                                                                                                                                                                      PL/SQL procedure successfully completed.

                                                                                                                                                                                                      SQL> with t as (select ku$_vcnt(1,2,3,4,5,6,7,8) x from dual)
                                                                                                                                                                                                      2 select*from(select rownum r,value(p)from t,table(powermultiset(x))p)where:n=r
                                                                                                                                                                                                      3 /
                                                                                                                                                                                                      67
                                                                                                                                                                                                      KU$_VCNT('1', '2', '7')





                                                                                                                                                                                                      share|improve this answer









                                                                                                                                                                                                      $endgroup$
















                                                                                                                                                                                                        0












                                                                                                                                                                                                        0








                                                                                                                                                                                                        0





                                                                                                                                                                                                        $begingroup$

                                                                                                                                                                                                        Oracle SQL, 77 bytes



                                                                                                                                                                                                        select*from(select rownum r,value(p)from t,table(powermultiset(x))p)where:n=r


                                                                                                                                                                                                        Test in SQL Plus



                                                                                                                                                                                                        SQL> var n number
                                                                                                                                                                                                        SQL> exec :n:=67;

                                                                                                                                                                                                        PL/SQL procedure successfully completed.

                                                                                                                                                                                                        SQL> with t as (select ku$_vcnt(1,2,3,4,5,6,7,8) x from dual)
                                                                                                                                                                                                        2 select*from(select rownum r,value(p)from t,table(powermultiset(x))p)where:n=r
                                                                                                                                                                                                        3 /
                                                                                                                                                                                                        67
                                                                                                                                                                                                        KU$_VCNT('1', '2', '7')





                                                                                                                                                                                                        share|improve this answer









                                                                                                                                                                                                        $endgroup$



                                                                                                                                                                                                        Oracle SQL, 77 bytes



                                                                                                                                                                                                        select*from(select rownum r,value(p)from t,table(powermultiset(x))p)where:n=r


                                                                                                                                                                                                        Test in SQL Plus



                                                                                                                                                                                                        SQL> var n number
                                                                                                                                                                                                        SQL> exec :n:=67;

                                                                                                                                                                                                        PL/SQL procedure successfully completed.

                                                                                                                                                                                                        SQL> with t as (select ku$_vcnt(1,2,3,4,5,6,7,8) x from dual)
                                                                                                                                                                                                        2 select*from(select rownum r,value(p)from t,table(powermultiset(x))p)where:n=r
                                                                                                                                                                                                        3 /
                                                                                                                                                                                                        67
                                                                                                                                                                                                        KU$_VCNT('1', '2', '7')






                                                                                                                                                                                                        share|improve this answer












                                                                                                                                                                                                        share|improve this answer



                                                                                                                                                                                                        share|improve this answer










                                                                                                                                                                                                        answered Nov 26 '18 at 0:51









                                                                                                                                                                                                        Dr Y WitDr Y Wit

                                                                                                                                                                                                        1614




                                                                                                                                                                                                        1614























                                                                                                                                                                                                            0












                                                                                                                                                                                                            $begingroup$


                                                                                                                                                                                                            MathGolf, 8 bytes



                                                                                                                                                                                                            â^mÉ┤*─


                                                                                                                                                                                                            Try it online!



                                                                                                                                                                                                            Explanation



                                                                                                                                                                                                            â         Convert first input to binary list
                                                                                                                                                                                                            ^ Zip with [1,2,3,4,5,6,7,8] (other input)
                                                                                                                                                                                                            mÉ Map 2D array using the next 3 instuctions
                                                                                                                                                                                                            ┤ Pop from right of array
                                                                                                                                                                                                            * Swap top two elements and repeat array either 0 or 1 times
                                                                                                                                                                                                            ─ Flatten to 1D array


                                                                                                                                                                                                            Alternate output format



                                                                                                                                                                                                            With a more flexible output format (that I personally think looks quite good) I can come up with a 6-byter:



                                                                                                                                                                                                            â^É┤*


                                                                                                                                                                                                            Instead of mapping, I use the implicit for-each, and I skip the flattening. Output looks like this:



                                                                                                                                                                                                            [1][2][4][5][6][7]





                                                                                                                                                                                                            share|improve this answer









                                                                                                                                                                                                            $endgroup$


















                                                                                                                                                                                                              0












                                                                                                                                                                                                              $begingroup$


                                                                                                                                                                                                              MathGolf, 8 bytes



                                                                                                                                                                                                              â^mÉ┤*─


                                                                                                                                                                                                              Try it online!



                                                                                                                                                                                                              Explanation



                                                                                                                                                                                                              â         Convert first input to binary list
                                                                                                                                                                                                              ^ Zip with [1,2,3,4,5,6,7,8] (other input)
                                                                                                                                                                                                              mÉ Map 2D array using the next 3 instuctions
                                                                                                                                                                                                              ┤ Pop from right of array
                                                                                                                                                                                                              * Swap top two elements and repeat array either 0 or 1 times
                                                                                                                                                                                                              ─ Flatten to 1D array


                                                                                                                                                                                                              Alternate output format



                                                                                                                                                                                                              With a more flexible output format (that I personally think looks quite good) I can come up with a 6-byter:



                                                                                                                                                                                                              â^É┤*


                                                                                                                                                                                                              Instead of mapping, I use the implicit for-each, and I skip the flattening. Output looks like this:



                                                                                                                                                                                                              [1][2][4][5][6][7]





                                                                                                                                                                                                              share|improve this answer









                                                                                                                                                                                                              $endgroup$
















                                                                                                                                                                                                                0












                                                                                                                                                                                                                0








                                                                                                                                                                                                                0





                                                                                                                                                                                                                $begingroup$


                                                                                                                                                                                                                MathGolf, 8 bytes



                                                                                                                                                                                                                â^mÉ┤*─


                                                                                                                                                                                                                Try it online!



                                                                                                                                                                                                                Explanation



                                                                                                                                                                                                                â         Convert first input to binary list
                                                                                                                                                                                                                ^ Zip with [1,2,3,4,5,6,7,8] (other input)
                                                                                                                                                                                                                mÉ Map 2D array using the next 3 instuctions
                                                                                                                                                                                                                ┤ Pop from right of array
                                                                                                                                                                                                                * Swap top two elements and repeat array either 0 or 1 times
                                                                                                                                                                                                                ─ Flatten to 1D array


                                                                                                                                                                                                                Alternate output format



                                                                                                                                                                                                                With a more flexible output format (that I personally think looks quite good) I can come up with a 6-byter:



                                                                                                                                                                                                                â^É┤*


                                                                                                                                                                                                                Instead of mapping, I use the implicit for-each, and I skip the flattening. Output looks like this:



                                                                                                                                                                                                                [1][2][4][5][6][7]





                                                                                                                                                                                                                share|improve this answer









                                                                                                                                                                                                                $endgroup$




                                                                                                                                                                                                                MathGolf, 8 bytes



                                                                                                                                                                                                                â^mÉ┤*─


                                                                                                                                                                                                                Try it online!



                                                                                                                                                                                                                Explanation



                                                                                                                                                                                                                â         Convert first input to binary list
                                                                                                                                                                                                                ^ Zip with [1,2,3,4,5,6,7,8] (other input)
                                                                                                                                                                                                                mÉ Map 2D array using the next 3 instuctions
                                                                                                                                                                                                                ┤ Pop from right of array
                                                                                                                                                                                                                * Swap top two elements and repeat array either 0 or 1 times
                                                                                                                                                                                                                ─ Flatten to 1D array


                                                                                                                                                                                                                Alternate output format



                                                                                                                                                                                                                With a more flexible output format (that I personally think looks quite good) I can come up with a 6-byter:



                                                                                                                                                                                                                â^É┤*


                                                                                                                                                                                                                Instead of mapping, I use the implicit for-each, and I skip the flattening. Output looks like this:



                                                                                                                                                                                                                [1][2][4][5][6][7]






                                                                                                                                                                                                                share|improve this answer












                                                                                                                                                                                                                share|improve this answer



                                                                                                                                                                                                                share|improve this answer










                                                                                                                                                                                                                answered Nov 26 '18 at 9:29









                                                                                                                                                                                                                maxbmaxb

                                                                                                                                                                                                                2,98311132




                                                                                                                                                                                                                2,98311132























                                                                                                                                                                                                                    0












                                                                                                                                                                                                                    $begingroup$


                                                                                                                                                                                                                    Ruby, 31 bytes





                                                                                                                                                                                                                    ->n{n.times{|a|n[a]>0&&p(-~a)}}


                                                                                                                                                                                                                    Try it online!






                                                                                                                                                                                                                    share|improve this answer









                                                                                                                                                                                                                    $endgroup$


















                                                                                                                                                                                                                      0












                                                                                                                                                                                                                      $begingroup$


                                                                                                                                                                                                                      Ruby, 31 bytes





                                                                                                                                                                                                                      ->n{n.times{|a|n[a]>0&&p(-~a)}}


                                                                                                                                                                                                                      Try it online!






                                                                                                                                                                                                                      share|improve this answer









                                                                                                                                                                                                                      $endgroup$
















                                                                                                                                                                                                                        0












                                                                                                                                                                                                                        0








                                                                                                                                                                                                                        0





                                                                                                                                                                                                                        $begingroup$


                                                                                                                                                                                                                        Ruby, 31 bytes





                                                                                                                                                                                                                        ->n{n.times{|a|n[a]>0&&p(-~a)}}


                                                                                                                                                                                                                        Try it online!






                                                                                                                                                                                                                        share|improve this answer









                                                                                                                                                                                                                        $endgroup$




                                                                                                                                                                                                                        Ruby, 31 bytes





                                                                                                                                                                                                                        ->n{n.times{|a|n[a]>0&&p(-~a)}}


                                                                                                                                                                                                                        Try it online!







                                                                                                                                                                                                                        share|improve this answer












                                                                                                                                                                                                                        share|improve this answer



                                                                                                                                                                                                                        share|improve this answer










                                                                                                                                                                                                                        answered Nov 26 '18 at 10:31









                                                                                                                                                                                                                        G BG B

                                                                                                                                                                                                                        7,7661328




                                                                                                                                                                                                                        7,7661328























                                                                                                                                                                                                                            0












                                                                                                                                                                                                                            $begingroup$


                                                                                                                                                                                                                            F# (Mono), 45 bytes





                                                                                                                                                                                                                            let m x=Seq.where(fun y->x>>>y-1&&&1>0)[1..8]


                                                                                                                                                                                                                            Try it online!



                                                                                                                                                                                                                            I also implemented a generic/recursive function, but its pretty ugly and the byte count is a lot larger...




                                                                                                                                                                                                                            F# (Mono), 107 bytes





                                                                                                                                                                                                                            let rec g y i=
                                                                                                                                                                                                                            if y>0 then seq{
                                                                                                                                                                                                                            if y%2>0 then yield i
                                                                                                                                                                                                                            yield!g(y/2)(i+1)
                                                                                                                                                                                                                            }else Seq.empty
                                                                                                                                                                                                                            let f x=g x 1


                                                                                                                                                                                                                            Try it online!






                                                                                                                                                                                                                            share|improve this answer











                                                                                                                                                                                                                            $endgroup$


















                                                                                                                                                                                                                              0












                                                                                                                                                                                                                              $begingroup$


                                                                                                                                                                                                                              F# (Mono), 45 bytes





                                                                                                                                                                                                                              let m x=Seq.where(fun y->x>>>y-1&&&1>0)[1..8]


                                                                                                                                                                                                                              Try it online!



                                                                                                                                                                                                                              I also implemented a generic/recursive function, but its pretty ugly and the byte count is a lot larger...




                                                                                                                                                                                                                              F# (Mono), 107 bytes





                                                                                                                                                                                                                              let rec g y i=
                                                                                                                                                                                                                              if y>0 then seq{
                                                                                                                                                                                                                              if y%2>0 then yield i
                                                                                                                                                                                                                              yield!g(y/2)(i+1)
                                                                                                                                                                                                                              }else Seq.empty
                                                                                                                                                                                                                              let f x=g x 1


                                                                                                                                                                                                                              Try it online!






                                                                                                                                                                                                                              share|improve this answer











                                                                                                                                                                                                                              $endgroup$
















                                                                                                                                                                                                                                0












                                                                                                                                                                                                                                0








                                                                                                                                                                                                                                0





                                                                                                                                                                                                                                $begingroup$


                                                                                                                                                                                                                                F# (Mono), 45 bytes





                                                                                                                                                                                                                                let m x=Seq.where(fun y->x>>>y-1&&&1>0)[1..8]


                                                                                                                                                                                                                                Try it online!



                                                                                                                                                                                                                                I also implemented a generic/recursive function, but its pretty ugly and the byte count is a lot larger...




                                                                                                                                                                                                                                F# (Mono), 107 bytes





                                                                                                                                                                                                                                let rec g y i=
                                                                                                                                                                                                                                if y>0 then seq{
                                                                                                                                                                                                                                if y%2>0 then yield i
                                                                                                                                                                                                                                yield!g(y/2)(i+1)
                                                                                                                                                                                                                                }else Seq.empty
                                                                                                                                                                                                                                let f x=g x 1


                                                                                                                                                                                                                                Try it online!






                                                                                                                                                                                                                                share|improve this answer











                                                                                                                                                                                                                                $endgroup$




                                                                                                                                                                                                                                F# (Mono), 45 bytes





                                                                                                                                                                                                                                let m x=Seq.where(fun y->x>>>y-1&&&1>0)[1..8]


                                                                                                                                                                                                                                Try it online!



                                                                                                                                                                                                                                I also implemented a generic/recursive function, but its pretty ugly and the byte count is a lot larger...




                                                                                                                                                                                                                                F# (Mono), 107 bytes





                                                                                                                                                                                                                                let rec g y i=
                                                                                                                                                                                                                                if y>0 then seq{
                                                                                                                                                                                                                                if y%2>0 then yield i
                                                                                                                                                                                                                                yield!g(y/2)(i+1)
                                                                                                                                                                                                                                }else Seq.empty
                                                                                                                                                                                                                                let f x=g x 1


                                                                                                                                                                                                                                Try it online!







                                                                                                                                                                                                                                share|improve this answer














                                                                                                                                                                                                                                share|improve this answer



                                                                                                                                                                                                                                share|improve this answer








                                                                                                                                                                                                                                edited Nov 26 '18 at 23:14

























                                                                                                                                                                                                                                answered Nov 26 '18 at 21:00









                                                                                                                                                                                                                                danadana

                                                                                                                                                                                                                                1,081165




                                                                                                                                                                                                                                1,081165























                                                                                                                                                                                                                                    0












                                                                                                                                                                                                                                    $begingroup$


                                                                                                                                                                                                                                    05AB1E, 6 bytes



                                                                                                                                                                                                                                    bRSƶ0K


                                                                                                                                                                                                                                    Try it online or verify all possible test cases.



                                                                                                                                                                                                                                    Explanation:





                                                                                                                                                                                                                                    b         # Convert the (implicit) integer input to binary
                                                                                                                                                                                                                                    # i.e. 22 → "10110"
                                                                                                                                                                                                                                    R # Reverse it
                                                                                                                                                                                                                                    # i.e. "10110" → "01101"
                                                                                                                                                                                                                                    S # Convert it to a list of 0s and 1s
                                                                                                                                                                                                                                    # i.e. "01101" → ["0","1","1","0","1"]
                                                                                                                                                                                                                                    ƶ # Multiply each with its 1-indexed index
                                                                                                                                                                                                                                    # i.e. ["0","1","1","0","1"] → [0,2,3,0,5]
                                                                                                                                                                                                                                    0K # Remove all 0s (and output implicitly)
                                                                                                                                                                                                                                    # i.e. [0,2,3,0,5] → [2,3,5]





                                                                                                                                                                                                                                    share|improve this answer









                                                                                                                                                                                                                                    $endgroup$


















                                                                                                                                                                                                                                      0












                                                                                                                                                                                                                                      $begingroup$


                                                                                                                                                                                                                                      05AB1E, 6 bytes



                                                                                                                                                                                                                                      bRSƶ0K


                                                                                                                                                                                                                                      Try it online or verify all possible test cases.



                                                                                                                                                                                                                                      Explanation:





                                                                                                                                                                                                                                      b         # Convert the (implicit) integer input to binary
                                                                                                                                                                                                                                      # i.e. 22 → "10110"
                                                                                                                                                                                                                                      R # Reverse it
                                                                                                                                                                                                                                      # i.e. "10110" → "01101"
                                                                                                                                                                                                                                      S # Convert it to a list of 0s and 1s
                                                                                                                                                                                                                                      # i.e. "01101" → ["0","1","1","0","1"]
                                                                                                                                                                                                                                      ƶ # Multiply each with its 1-indexed index
                                                                                                                                                                                                                                      # i.e. ["0","1","1","0","1"] → [0,2,3,0,5]
                                                                                                                                                                                                                                      0K # Remove all 0s (and output implicitly)
                                                                                                                                                                                                                                      # i.e. [0,2,3,0,5] → [2,3,5]





                                                                                                                                                                                                                                      share|improve this answer









                                                                                                                                                                                                                                      $endgroup$
















                                                                                                                                                                                                                                        0












                                                                                                                                                                                                                                        0








                                                                                                                                                                                                                                        0





                                                                                                                                                                                                                                        $begingroup$


                                                                                                                                                                                                                                        05AB1E, 6 bytes



                                                                                                                                                                                                                                        bRSƶ0K


                                                                                                                                                                                                                                        Try it online or verify all possible test cases.



                                                                                                                                                                                                                                        Explanation:





                                                                                                                                                                                                                                        b         # Convert the (implicit) integer input to binary
                                                                                                                                                                                                                                        # i.e. 22 → "10110"
                                                                                                                                                                                                                                        R # Reverse it
                                                                                                                                                                                                                                        # i.e. "10110" → "01101"
                                                                                                                                                                                                                                        S # Convert it to a list of 0s and 1s
                                                                                                                                                                                                                                        # i.e. "01101" → ["0","1","1","0","1"]
                                                                                                                                                                                                                                        ƶ # Multiply each with its 1-indexed index
                                                                                                                                                                                                                                        # i.e. ["0","1","1","0","1"] → [0,2,3,0,5]
                                                                                                                                                                                                                                        0K # Remove all 0s (and output implicitly)
                                                                                                                                                                                                                                        # i.e. [0,2,3,0,5] → [2,3,5]





                                                                                                                                                                                                                                        share|improve this answer









                                                                                                                                                                                                                                        $endgroup$




                                                                                                                                                                                                                                        05AB1E, 6 bytes



                                                                                                                                                                                                                                        bRSƶ0K


                                                                                                                                                                                                                                        Try it online or verify all possible test cases.



                                                                                                                                                                                                                                        Explanation:





                                                                                                                                                                                                                                        b         # Convert the (implicit) integer input to binary
                                                                                                                                                                                                                                        # i.e. 22 → "10110"
                                                                                                                                                                                                                                        R # Reverse it
                                                                                                                                                                                                                                        # i.e. "10110" → "01101"
                                                                                                                                                                                                                                        S # Convert it to a list of 0s and 1s
                                                                                                                                                                                                                                        # i.e. "01101" → ["0","1","1","0","1"]
                                                                                                                                                                                                                                        ƶ # Multiply each with its 1-indexed index
                                                                                                                                                                                                                                        # i.e. ["0","1","1","0","1"] → [0,2,3,0,5]
                                                                                                                                                                                                                                        0K # Remove all 0s (and output implicitly)
                                                                                                                                                                                                                                        # i.e. [0,2,3,0,5] → [2,3,5]






                                                                                                                                                                                                                                        share|improve this answer












                                                                                                                                                                                                                                        share|improve this answer



                                                                                                                                                                                                                                        share|improve this answer










                                                                                                                                                                                                                                        answered Nov 28 '18 at 8:28









                                                                                                                                                                                                                                        Kevin CruijssenKevin Cruijssen

                                                                                                                                                                                                                                        38.1k557197




                                                                                                                                                                                                                                        38.1k557197























                                                                                                                                                                                                                                            0












                                                                                                                                                                                                                                            $begingroup$

                                                                                                                                                                                                                                            Java 8, 58 bytes





                                                                                                                                                                                                                                            n->{for(int i=0;i<8;)if((1&n>>i++)>0)System.out.print(i);}


                                                                                                                                                                                                                                            Try it online.



                                                                                                                                                                                                                                            Explanation:



                                                                                                                                                                                                                                            n->{                        // Method with integer as parameter and no return-type
                                                                                                                                                                                                                                            for(int i=0;i<8;) // Loop `i` in the range [0,8):
                                                                                                                                                                                                                                            if((1&n>>i++)>0) // If 1 AND `n` bitwise right-shifted to `i` is larger than 0
                                                                                                                                                                                                                                            // (with `i` increased by 1 afterwards with `i++`)
                                                                                                                                                                                                                                            System.out.print(i);} // Print `i+1`





                                                                                                                                                                                                                                            share|improve this answer









                                                                                                                                                                                                                                            $endgroup$


















                                                                                                                                                                                                                                              0












                                                                                                                                                                                                                                              $begingroup$

                                                                                                                                                                                                                                              Java 8, 58 bytes





                                                                                                                                                                                                                                              n->{for(int i=0;i<8;)if((1&n>>i++)>0)System.out.print(i);}


                                                                                                                                                                                                                                              Try it online.



                                                                                                                                                                                                                                              Explanation:



                                                                                                                                                                                                                                              n->{                        // Method with integer as parameter and no return-type
                                                                                                                                                                                                                                              for(int i=0;i<8;) // Loop `i` in the range [0,8):
                                                                                                                                                                                                                                              if((1&n>>i++)>0) // If 1 AND `n` bitwise right-shifted to `i` is larger than 0
                                                                                                                                                                                                                                              // (with `i` increased by 1 afterwards with `i++`)
                                                                                                                                                                                                                                              System.out.print(i);} // Print `i+1`





                                                                                                                                                                                                                                              share|improve this answer









                                                                                                                                                                                                                                              $endgroup$
















                                                                                                                                                                                                                                                0












                                                                                                                                                                                                                                                0








                                                                                                                                                                                                                                                0





                                                                                                                                                                                                                                                $begingroup$

                                                                                                                                                                                                                                                Java 8, 58 bytes





                                                                                                                                                                                                                                                n->{for(int i=0;i<8;)if((1&n>>i++)>0)System.out.print(i);}


                                                                                                                                                                                                                                                Try it online.



                                                                                                                                                                                                                                                Explanation:



                                                                                                                                                                                                                                                n->{                        // Method with integer as parameter and no return-type
                                                                                                                                                                                                                                                for(int i=0;i<8;) // Loop `i` in the range [0,8):
                                                                                                                                                                                                                                                if((1&n>>i++)>0) // If 1 AND `n` bitwise right-shifted to `i` is larger than 0
                                                                                                                                                                                                                                                // (with `i` increased by 1 afterwards with `i++`)
                                                                                                                                                                                                                                                System.out.print(i);} // Print `i+1`





                                                                                                                                                                                                                                                share|improve this answer









                                                                                                                                                                                                                                                $endgroup$



                                                                                                                                                                                                                                                Java 8, 58 bytes





                                                                                                                                                                                                                                                n->{for(int i=0;i<8;)if((1&n>>i++)>0)System.out.print(i);}


                                                                                                                                                                                                                                                Try it online.



                                                                                                                                                                                                                                                Explanation:



                                                                                                                                                                                                                                                n->{                        // Method with integer as parameter and no return-type
                                                                                                                                                                                                                                                for(int i=0;i<8;) // Loop `i` in the range [0,8):
                                                                                                                                                                                                                                                if((1&n>>i++)>0) // If 1 AND `n` bitwise right-shifted to `i` is larger than 0
                                                                                                                                                                                                                                                // (with `i` increased by 1 afterwards with `i++`)
                                                                                                                                                                                                                                                System.out.print(i);} // Print `i+1`






                                                                                                                                                                                                                                                share|improve this answer












                                                                                                                                                                                                                                                share|improve this answer



                                                                                                                                                                                                                                                share|improve this answer










                                                                                                                                                                                                                                                answered Nov 28 '18 at 8:41









                                                                                                                                                                                                                                                Kevin CruijssenKevin Cruijssen

                                                                                                                                                                                                                                                38.1k557197




                                                                                                                                                                                                                                                38.1k557197























                                                                                                                                                                                                                                                    0












                                                                                                                                                                                                                                                    $begingroup$

                                                                                                                                                                                                                                                    Japt, 7 bytes



                                                                                                                                                                                                                                                    ¢Ô¬ðÍmÄ


                                                                                                                                                                                                                                                    Test it online





                                                                                                                                                                                                                                                    Japt, 7 bytes



                                                                                                                                                                                                                                                    ¤Ôð1 mÄ


                                                                                                                                                                                                                                                    Test it online






                                                                                                                                                                                                                                                    share|improve this answer











                                                                                                                                                                                                                                                    $endgroup$


















                                                                                                                                                                                                                                                      0












                                                                                                                                                                                                                                                      $begingroup$

                                                                                                                                                                                                                                                      Japt, 7 bytes



                                                                                                                                                                                                                                                      ¢Ô¬ðÍmÄ


                                                                                                                                                                                                                                                      Test it online





                                                                                                                                                                                                                                                      Japt, 7 bytes



                                                                                                                                                                                                                                                      ¤Ôð1 mÄ


                                                                                                                                                                                                                                                      Test it online






                                                                                                                                                                                                                                                      share|improve this answer











                                                                                                                                                                                                                                                      $endgroup$
















                                                                                                                                                                                                                                                        0












                                                                                                                                                                                                                                                        0








                                                                                                                                                                                                                                                        0





                                                                                                                                                                                                                                                        $begingroup$

                                                                                                                                                                                                                                                        Japt, 7 bytes



                                                                                                                                                                                                                                                        ¢Ô¬ðÍmÄ


                                                                                                                                                                                                                                                        Test it online





                                                                                                                                                                                                                                                        Japt, 7 bytes



                                                                                                                                                                                                                                                        ¤Ôð1 mÄ


                                                                                                                                                                                                                                                        Test it online






                                                                                                                                                                                                                                                        share|improve this answer











                                                                                                                                                                                                                                                        $endgroup$



                                                                                                                                                                                                                                                        Japt, 7 bytes



                                                                                                                                                                                                                                                        ¢Ô¬ðÍmÄ


                                                                                                                                                                                                                                                        Test it online





                                                                                                                                                                                                                                                        Japt, 7 bytes



                                                                                                                                                                                                                                                        ¤Ôð1 mÄ


                                                                                                                                                                                                                                                        Test it online







                                                                                                                                                                                                                                                        share|improve this answer














                                                                                                                                                                                                                                                        share|improve this answer



                                                                                                                                                                                                                                                        share|improve this answer








                                                                                                                                                                                                                                                        edited Dec 5 '18 at 20:37

























                                                                                                                                                                                                                                                        answered Nov 26 '18 at 22:40









                                                                                                                                                                                                                                                        OliverOliver

                                                                                                                                                                                                                                                        4,8801831




                                                                                                                                                                                                                                                        4,8801831






























                                                                                                                                                                                                                                                            draft saved

                                                                                                                                                                                                                                                            draft discarded




















































                                                                                                                                                                                                                                                            If this is an answer to a challenge…




                                                                                                                                                                                                                                                            • …Be sure to follow the challenge specification. However, please refrain from exploiting obvious loopholes. Answers abusing any of the standard loopholes are considered invalid. If you think a specification is unclear or underspecified, comment on the question instead.


                                                                                                                                                                                                                                                            • …Try to optimize your score. For instance, answers to code-golf challenges should attempt to be as short as possible. You can always include a readable version of the code in addition to the competitive one.
                                                                                                                                                                                                                                                              Explanations of your answer make it more interesting to read and are very much encouraged.


                                                                                                                                                                                                                                                            • …Include a short header which indicates the language(s) of your code and its score, as defined by the challenge.



                                                                                                                                                                                                                                                            More generally…




                                                                                                                                                                                                                                                            • …Please make sure to answer the question and provide sufficient detail.


                                                                                                                                                                                                                                                            • …Avoid asking for help, clarification or responding to other answers (use comments instead).





                                                                                                                                                                                                                                                            draft saved


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