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Is it a Cyclops number? “Nobody” knows!


Sum of Binary SubstringsIs this a Smith number?Is this number triangular?Test if two numbers are equalIs this number a repdigit?Am I divisible by double the sum of my digits?Is the number binary-heavy?Is it a whole number?Binary SubstringsDiluted Integer Sums













5












$begingroup$


Task:



Given an integer input, figure out whether or not it is a Cyclops Number.



What is a Cyclops number, you may ask? Well, it's a number whose binary representation only has one 0 in the center!



Test Cases:



Input | Output
--------------
1 | falsy
5 | truthy
12 | falsy
27 | truthy
85 | falsy
101 | falsy
119 | truthy


Input: An integer or equivalent types. (int, long, decimal, etc.)
Output:



  • Truthy or falsy (e.g. true or false, 0 or 1)..

Challenge Rules:



  • Input that is less than 0 is assumed to be falsy.


  • If the length of the binary representation of the number is even, then the number cannot be a Cyclops number.


General Rules:



  • This is code-golf, so the shortest answers in bytes wins!.


  • Default loopholes are forbidden.


  • Standard rules apply for your answer with default I/O rules.



This is my first Programming Puzzles & Code Golf challenge, so any feedback on how I should improve would be much appreciated!










share|improve this question









New contributor




Tau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$







  • 1




    $begingroup$
    You've essentially made two separate challenges, one a decision problem and one about outputting the next number of a sequence. This will not do what you want, which is invite more answers, but instead put off users who now need to consider three options about what to program before posting. I'd recommend removing the option, and in the future you can try posting to our sandbox first where hopefully you will get helpful feedback before posting. Good luck!
    $endgroup$
    – FryAmTheEggman
    5 hours ago










  • $begingroup$
    @SriotchilismO'Zaic thanks for the feedback! I have edited the post.
    $endgroup$
    – Tau
    5 hours ago










  • $begingroup$
    @FryAmTheEggman thank you, I'll keep that in mind. The post has been edited.
    $endgroup$
    – Tau
    5 hours ago






  • 1




    $begingroup$
    Note: This is A129868
    $endgroup$
    – tsh
    4 hours ago






  • 2




    $begingroup$
    Should 119 be true?
    $endgroup$
    – Quintec
    4 hours ago















5












$begingroup$


Task:



Given an integer input, figure out whether or not it is a Cyclops Number.



What is a Cyclops number, you may ask? Well, it's a number whose binary representation only has one 0 in the center!



Test Cases:



Input | Output
--------------
1 | falsy
5 | truthy
12 | falsy
27 | truthy
85 | falsy
101 | falsy
119 | truthy


Input: An integer or equivalent types. (int, long, decimal, etc.)
Output:



  • Truthy or falsy (e.g. true or false, 0 or 1)..

Challenge Rules:



  • Input that is less than 0 is assumed to be falsy.


  • If the length of the binary representation of the number is even, then the number cannot be a Cyclops number.


General Rules:



  • This is code-golf, so the shortest answers in bytes wins!.


  • Default loopholes are forbidden.


  • Standard rules apply for your answer with default I/O rules.



This is my first Programming Puzzles & Code Golf challenge, so any feedback on how I should improve would be much appreciated!










share|improve this question









New contributor




Tau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$







  • 1




    $begingroup$
    You've essentially made two separate challenges, one a decision problem and one about outputting the next number of a sequence. This will not do what you want, which is invite more answers, but instead put off users who now need to consider three options about what to program before posting. I'd recommend removing the option, and in the future you can try posting to our sandbox first where hopefully you will get helpful feedback before posting. Good luck!
    $endgroup$
    – FryAmTheEggman
    5 hours ago










  • $begingroup$
    @SriotchilismO'Zaic thanks for the feedback! I have edited the post.
    $endgroup$
    – Tau
    5 hours ago










  • $begingroup$
    @FryAmTheEggman thank you, I'll keep that in mind. The post has been edited.
    $endgroup$
    – Tau
    5 hours ago






  • 1




    $begingroup$
    Note: This is A129868
    $endgroup$
    – tsh
    4 hours ago






  • 2




    $begingroup$
    Should 119 be true?
    $endgroup$
    – Quintec
    4 hours ago













5












5








5





$begingroup$


Task:



Given an integer input, figure out whether or not it is a Cyclops Number.



What is a Cyclops number, you may ask? Well, it's a number whose binary representation only has one 0 in the center!



Test Cases:



Input | Output
--------------
1 | falsy
5 | truthy
12 | falsy
27 | truthy
85 | falsy
101 | falsy
119 | truthy


Input: An integer or equivalent types. (int, long, decimal, etc.)
Output:



  • Truthy or falsy (e.g. true or false, 0 or 1)..

Challenge Rules:



  • Input that is less than 0 is assumed to be falsy.


  • If the length of the binary representation of the number is even, then the number cannot be a Cyclops number.


General Rules:



  • This is code-golf, so the shortest answers in bytes wins!.


  • Default loopholes are forbidden.


  • Standard rules apply for your answer with default I/O rules.



This is my first Programming Puzzles & Code Golf challenge, so any feedback on how I should improve would be much appreciated!










share|improve this question









New contributor




Tau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







$endgroup$




Task:



Given an integer input, figure out whether or not it is a Cyclops Number.



What is a Cyclops number, you may ask? Well, it's a number whose binary representation only has one 0 in the center!



Test Cases:



Input | Output
--------------
1 | falsy
5 | truthy
12 | falsy
27 | truthy
85 | falsy
101 | falsy
119 | truthy


Input: An integer or equivalent types. (int, long, decimal, etc.)
Output:



  • Truthy or falsy (e.g. true or false, 0 or 1)..

Challenge Rules:



  • Input that is less than 0 is assumed to be falsy.


  • If the length of the binary representation of the number is even, then the number cannot be a Cyclops number.


General Rules:



  • This is code-golf, so the shortest answers in bytes wins!.


  • Default loopholes are forbidden.


  • Standard rules apply for your answer with default I/O rules.



This is my first Programming Puzzles & Code Golf challenge, so any feedback on how I should improve would be much appreciated!







code-golf number decision-problem binary






share|improve this question









New contributor




Tau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|improve this question









New contributor




Tau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|improve this question




share|improve this question








edited 4 hours ago







Tau













New contributor




Tau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









asked 5 hours ago









TauTau

1365




1365




New contributor




Tau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.





New contributor





Tau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






Tau is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.







  • 1




    $begingroup$
    You've essentially made two separate challenges, one a decision problem and one about outputting the next number of a sequence. This will not do what you want, which is invite more answers, but instead put off users who now need to consider three options about what to program before posting. I'd recommend removing the option, and in the future you can try posting to our sandbox first where hopefully you will get helpful feedback before posting. Good luck!
    $endgroup$
    – FryAmTheEggman
    5 hours ago










  • $begingroup$
    @SriotchilismO'Zaic thanks for the feedback! I have edited the post.
    $endgroup$
    – Tau
    5 hours ago










  • $begingroup$
    @FryAmTheEggman thank you, I'll keep that in mind. The post has been edited.
    $endgroup$
    – Tau
    5 hours ago






  • 1




    $begingroup$
    Note: This is A129868
    $endgroup$
    – tsh
    4 hours ago






  • 2




    $begingroup$
    Should 119 be true?
    $endgroup$
    – Quintec
    4 hours ago












  • 1




    $begingroup$
    You've essentially made two separate challenges, one a decision problem and one about outputting the next number of a sequence. This will not do what you want, which is invite more answers, but instead put off users who now need to consider three options about what to program before posting. I'd recommend removing the option, and in the future you can try posting to our sandbox first where hopefully you will get helpful feedback before posting. Good luck!
    $endgroup$
    – FryAmTheEggman
    5 hours ago










  • $begingroup$
    @SriotchilismO'Zaic thanks for the feedback! I have edited the post.
    $endgroup$
    – Tau
    5 hours ago










  • $begingroup$
    @FryAmTheEggman thank you, I'll keep that in mind. The post has been edited.
    $endgroup$
    – Tau
    5 hours ago






  • 1




    $begingroup$
    Note: This is A129868
    $endgroup$
    – tsh
    4 hours ago






  • 2




    $begingroup$
    Should 119 be true?
    $endgroup$
    – Quintec
    4 hours ago







1




1




$begingroup$
You've essentially made two separate challenges, one a decision problem and one about outputting the next number of a sequence. This will not do what you want, which is invite more answers, but instead put off users who now need to consider three options about what to program before posting. I'd recommend removing the option, and in the future you can try posting to our sandbox first where hopefully you will get helpful feedback before posting. Good luck!
$endgroup$
– FryAmTheEggman
5 hours ago




$begingroup$
You've essentially made two separate challenges, one a decision problem and one about outputting the next number of a sequence. This will not do what you want, which is invite more answers, but instead put off users who now need to consider three options about what to program before posting. I'd recommend removing the option, and in the future you can try posting to our sandbox first where hopefully you will get helpful feedback before posting. Good luck!
$endgroup$
– FryAmTheEggman
5 hours ago












$begingroup$
@SriotchilismO'Zaic thanks for the feedback! I have edited the post.
$endgroup$
– Tau
5 hours ago




$begingroup$
@SriotchilismO'Zaic thanks for the feedback! I have edited the post.
$endgroup$
– Tau
5 hours ago












$begingroup$
@FryAmTheEggman thank you, I'll keep that in mind. The post has been edited.
$endgroup$
– Tau
5 hours ago




$begingroup$
@FryAmTheEggman thank you, I'll keep that in mind. The post has been edited.
$endgroup$
– Tau
5 hours ago




1




1




$begingroup$
Note: This is A129868
$endgroup$
– tsh
4 hours ago




$begingroup$
Note: This is A129868
$endgroup$
– tsh
4 hours ago




2




2




$begingroup$
Should 119 be true?
$endgroup$
– Quintec
4 hours ago




$begingroup$
Should 119 be true?
$endgroup$
– Quintec
4 hours ago










8 Answers
8






active

oldest

votes


















5












$begingroup$


Python 2, 30 bytes





lambda n:(2*n^2*n+3)**2==8*n+9


Try it online!






share|improve this answer









$endgroup$




















    2












    $begingroup$


    Japt, 25 19 10 bytes



    ¢èT ¶1©¢ês


    That's more like it...



    Checks if there is only one 0 in the binary representation and that the binary representation is a palindrome.



    Try it online!






    share|improve this answer











    $endgroup$












    • $begingroup$
      found an even shorter way, based on your solution :)
      $endgroup$
      – Embodiment of Ignorance
      4 hours ago



















    2












    $begingroup$

    Japt, 8 bytes



    ¤øT ©¢ês


    Based off of Quintec's solution.



    Try it Online!



    Old regex-based solution, 15 bytes



    ¤f/^(1*)01$/ l


    Returns 1 for true, 0 for false.



    Try it Online!






    share|improve this answer











    $endgroup$












    • $begingroup$
      Well played, I should really learn regular expressions sometime. :) +1
      $endgroup$
      – Quintec
      4 hours ago










    • $begingroup$
      @Quintec Regex is awesome :)
      $endgroup$
      – Embodiment of Ignorance
      4 hours ago










    • $begingroup$
      Update: found shorter way :)
      $endgroup$
      – Quintec
      4 hours ago


















    1












    $begingroup$

    Japt -N, 6 bytes



    Returns 1 for truthy, 0 or NaN for falsy.



    ¤q0 äè


    Run it online






    share|improve this answer









    $endgroup$




















      0












      $begingroup$


      Perl 6, 23 bytes





      .base(2)~~/^(1*)0$0$/


      Try it online!



      Regex based solution






      share|improve this answer









      $endgroup$




















        0












        $begingroup$


        JavaScript (Node.js), 32 bytes





        f=(p,q)=>p&1?f(p/2,q+q|2):!(p^q)


        Try it online!



        31 bytes version





        f=(p,q)=>p&1?f(p>>1,q+q|2):p==q


        This one will report falsy for 0.





        JavaScript (Node.js), 35 bytes





        p=>p.toString(2).match(/^(1*)01$/)


        Try it online!






        share|improve this answer











        $endgroup$




















          0












          $begingroup$

          Mathematica (Wolfram language), 32 bytes



          OddQ@Log[2,#+Floor@Sqrt[#/2]+2]&


          Try it online!



          Pure function taking an integer as input and returning True or False. Based on the fact (fun to prove!) that a number n is Cyclops if and only if n plus the square root of n/2 plus 2 rounds down to an odd power of 2. (One can replace Floor by either Ceiling or Round as long as one also replaces +2 by +1.) Returns True on input 0.






          share|improve this answer









          $endgroup$




















            0












            $begingroup$


            Jelly, 9 bytes



            BŒḂaB¬S=1


            Try it online!






            share|improve this answer









            $endgroup$












              Your Answer





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              8 Answers
              8






              active

              oldest

              votes








              8 Answers
              8






              active

              oldest

              votes









              active

              oldest

              votes






              active

              oldest

              votes









              5












              $begingroup$


              Python 2, 30 bytes





              lambda n:(2*n^2*n+3)**2==8*n+9


              Try it online!






              share|improve this answer









              $endgroup$

















                5












                $begingroup$


                Python 2, 30 bytes





                lambda n:(2*n^2*n+3)**2==8*n+9


                Try it online!






                share|improve this answer









                $endgroup$















                  5












                  5








                  5





                  $begingroup$


                  Python 2, 30 bytes





                  lambda n:(2*n^2*n+3)**2==8*n+9


                  Try it online!






                  share|improve this answer









                  $endgroup$




                  Python 2, 30 bytes





                  lambda n:(2*n^2*n+3)**2==8*n+9


                  Try it online!







                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered 2 hours ago









                  xnorxnor

                  91.7k18187443




                  91.7k18187443





















                      2












                      $begingroup$


                      Japt, 25 19 10 bytes



                      ¢èT ¶1©¢ês


                      That's more like it...



                      Checks if there is only one 0 in the binary representation and that the binary representation is a palindrome.



                      Try it online!






                      share|improve this answer











                      $endgroup$












                      • $begingroup$
                        found an even shorter way, based on your solution :)
                        $endgroup$
                        – Embodiment of Ignorance
                        4 hours ago
















                      2












                      $begingroup$


                      Japt, 25 19 10 bytes



                      ¢èT ¶1©¢ês


                      That's more like it...



                      Checks if there is only one 0 in the binary representation and that the binary representation is a palindrome.



                      Try it online!






                      share|improve this answer











                      $endgroup$












                      • $begingroup$
                        found an even shorter way, based on your solution :)
                        $endgroup$
                        – Embodiment of Ignorance
                        4 hours ago














                      2












                      2








                      2





                      $begingroup$


                      Japt, 25 19 10 bytes



                      ¢èT ¶1©¢ês


                      That's more like it...



                      Checks if there is only one 0 in the binary representation and that the binary representation is a palindrome.



                      Try it online!






                      share|improve this answer











                      $endgroup$




                      Japt, 25 19 10 bytes



                      ¢èT ¶1©¢ês


                      That's more like it...



                      Checks if there is only one 0 in the binary representation and that the binary representation is a palindrome.



                      Try it online!







                      share|improve this answer














                      share|improve this answer



                      share|improve this answer








                      edited 4 hours ago

























                      answered 4 hours ago









                      QuintecQuintec

                      1,9781726




                      1,9781726











                      • $begingroup$
                        found an even shorter way, based on your solution :)
                        $endgroup$
                        – Embodiment of Ignorance
                        4 hours ago

















                      • $begingroup$
                        found an even shorter way, based on your solution :)
                        $endgroup$
                        – Embodiment of Ignorance
                        4 hours ago
















                      $begingroup$
                      found an even shorter way, based on your solution :)
                      $endgroup$
                      – Embodiment of Ignorance
                      4 hours ago





                      $begingroup$
                      found an even shorter way, based on your solution :)
                      $endgroup$
                      – Embodiment of Ignorance
                      4 hours ago












                      2












                      $begingroup$

                      Japt, 8 bytes



                      ¤øT ©¢ês


                      Based off of Quintec's solution.



                      Try it Online!



                      Old regex-based solution, 15 bytes



                      ¤f/^(1*)01$/ l


                      Returns 1 for true, 0 for false.



                      Try it Online!






                      share|improve this answer











                      $endgroup$












                      • $begingroup$
                        Well played, I should really learn regular expressions sometime. :) +1
                        $endgroup$
                        – Quintec
                        4 hours ago










                      • $begingroup$
                        @Quintec Regex is awesome :)
                        $endgroup$
                        – Embodiment of Ignorance
                        4 hours ago










                      • $begingroup$
                        Update: found shorter way :)
                        $endgroup$
                        – Quintec
                        4 hours ago















                      2












                      $begingroup$

                      Japt, 8 bytes



                      ¤øT ©¢ês


                      Based off of Quintec's solution.



                      Try it Online!



                      Old regex-based solution, 15 bytes



                      ¤f/^(1*)01$/ l


                      Returns 1 for true, 0 for false.



                      Try it Online!






                      share|improve this answer











                      $endgroup$












                      • $begingroup$
                        Well played, I should really learn regular expressions sometime. :) +1
                        $endgroup$
                        – Quintec
                        4 hours ago










                      • $begingroup$
                        @Quintec Regex is awesome :)
                        $endgroup$
                        – Embodiment of Ignorance
                        4 hours ago










                      • $begingroup$
                        Update: found shorter way :)
                        $endgroup$
                        – Quintec
                        4 hours ago













                      2












                      2








                      2





                      $begingroup$

                      Japt, 8 bytes



                      ¤øT ©¢ês


                      Based off of Quintec's solution.



                      Try it Online!



                      Old regex-based solution, 15 bytes



                      ¤f/^(1*)01$/ l


                      Returns 1 for true, 0 for false.



                      Try it Online!






                      share|improve this answer











                      $endgroup$



                      Japt, 8 bytes



                      ¤øT ©¢ês


                      Based off of Quintec's solution.



                      Try it Online!



                      Old regex-based solution, 15 bytes



                      ¤f/^(1*)01$/ l


                      Returns 1 for true, 0 for false.



                      Try it Online!







                      share|improve this answer














                      share|improve this answer



                      share|improve this answer








                      edited 4 hours ago

























                      answered 4 hours ago









                      Embodiment of IgnoranceEmbodiment of Ignorance

                      1,516123




                      1,516123











                      • $begingroup$
                        Well played, I should really learn regular expressions sometime. :) +1
                        $endgroup$
                        – Quintec
                        4 hours ago










                      • $begingroup$
                        @Quintec Regex is awesome :)
                        $endgroup$
                        – Embodiment of Ignorance
                        4 hours ago










                      • $begingroup$
                        Update: found shorter way :)
                        $endgroup$
                        – Quintec
                        4 hours ago
















                      • $begingroup$
                        Well played, I should really learn regular expressions sometime. :) +1
                        $endgroup$
                        – Quintec
                        4 hours ago










                      • $begingroup$
                        @Quintec Regex is awesome :)
                        $endgroup$
                        – Embodiment of Ignorance
                        4 hours ago










                      • $begingroup$
                        Update: found shorter way :)
                        $endgroup$
                        – Quintec
                        4 hours ago















                      $begingroup$
                      Well played, I should really learn regular expressions sometime. :) +1
                      $endgroup$
                      – Quintec
                      4 hours ago




                      $begingroup$
                      Well played, I should really learn regular expressions sometime. :) +1
                      $endgroup$
                      – Quintec
                      4 hours ago












                      $begingroup$
                      @Quintec Regex is awesome :)
                      $endgroup$
                      – Embodiment of Ignorance
                      4 hours ago




                      $begingroup$
                      @Quintec Regex is awesome :)
                      $endgroup$
                      – Embodiment of Ignorance
                      4 hours ago












                      $begingroup$
                      Update: found shorter way :)
                      $endgroup$
                      – Quintec
                      4 hours ago




                      $begingroup$
                      Update: found shorter way :)
                      $endgroup$
                      – Quintec
                      4 hours ago











                      1












                      $begingroup$

                      Japt -N, 6 bytes



                      Returns 1 for truthy, 0 or NaN for falsy.



                      ¤q0 äè


                      Run it online






                      share|improve this answer









                      $endgroup$

















                        1












                        $begingroup$

                        Japt -N, 6 bytes



                        Returns 1 for truthy, 0 or NaN for falsy.



                        ¤q0 äè


                        Run it online






                        share|improve this answer









                        $endgroup$















                          1












                          1








                          1





                          $begingroup$

                          Japt -N, 6 bytes



                          Returns 1 for truthy, 0 or NaN for falsy.



                          ¤q0 äè


                          Run it online






                          share|improve this answer









                          $endgroup$



                          Japt -N, 6 bytes



                          Returns 1 for truthy, 0 or NaN for falsy.



                          ¤q0 äè


                          Run it online







                          share|improve this answer












                          share|improve this answer



                          share|improve this answer










                          answered 2 hours ago









                          OliverOliver

                          5,2001832




                          5,2001832





















                              0












                              $begingroup$


                              Perl 6, 23 bytes





                              .base(2)~~/^(1*)0$0$/


                              Try it online!



                              Regex based solution






                              share|improve this answer









                              $endgroup$

















                                0












                                $begingroup$


                                Perl 6, 23 bytes





                                .base(2)~~/^(1*)0$0$/


                                Try it online!



                                Regex based solution






                                share|improve this answer









                                $endgroup$















                                  0












                                  0








                                  0





                                  $begingroup$


                                  Perl 6, 23 bytes





                                  .base(2)~~/^(1*)0$0$/


                                  Try it online!



                                  Regex based solution






                                  share|improve this answer









                                  $endgroup$




                                  Perl 6, 23 bytes





                                  .base(2)~~/^(1*)0$0$/


                                  Try it online!



                                  Regex based solution







                                  share|improve this answer












                                  share|improve this answer



                                  share|improve this answer










                                  answered 4 hours ago









                                  Jo KingJo King

                                  24.4k357126




                                  24.4k357126





















                                      0












                                      $begingroup$


                                      JavaScript (Node.js), 32 bytes





                                      f=(p,q)=>p&1?f(p/2,q+q|2):!(p^q)


                                      Try it online!



                                      31 bytes version





                                      f=(p,q)=>p&1?f(p>>1,q+q|2):p==q


                                      This one will report falsy for 0.





                                      JavaScript (Node.js), 35 bytes





                                      p=>p.toString(2).match(/^(1*)01$/)


                                      Try it online!






                                      share|improve this answer











                                      $endgroup$

















                                        0












                                        $begingroup$


                                        JavaScript (Node.js), 32 bytes





                                        f=(p,q)=>p&1?f(p/2,q+q|2):!(p^q)


                                        Try it online!



                                        31 bytes version





                                        f=(p,q)=>p&1?f(p>>1,q+q|2):p==q


                                        This one will report falsy for 0.





                                        JavaScript (Node.js), 35 bytes





                                        p=>p.toString(2).match(/^(1*)01$/)


                                        Try it online!






                                        share|improve this answer











                                        $endgroup$















                                          0












                                          0








                                          0





                                          $begingroup$


                                          JavaScript (Node.js), 32 bytes





                                          f=(p,q)=>p&1?f(p/2,q+q|2):!(p^q)


                                          Try it online!



                                          31 bytes version





                                          f=(p,q)=>p&1?f(p>>1,q+q|2):p==q


                                          This one will report falsy for 0.





                                          JavaScript (Node.js), 35 bytes





                                          p=>p.toString(2).match(/^(1*)01$/)


                                          Try it online!






                                          share|improve this answer











                                          $endgroup$




                                          JavaScript (Node.js), 32 bytes





                                          f=(p,q)=>p&1?f(p/2,q+q|2):!(p^q)


                                          Try it online!



                                          31 bytes version





                                          f=(p,q)=>p&1?f(p>>1,q+q|2):p==q


                                          This one will report falsy for 0.





                                          JavaScript (Node.js), 35 bytes





                                          p=>p.toString(2).match(/^(1*)01$/)


                                          Try it online!







                                          share|improve this answer














                                          share|improve this answer



                                          share|improve this answer








                                          edited 3 hours ago

























                                          answered 4 hours ago









                                          tshtsh

                                          9,32511652




                                          9,32511652





















                                              0












                                              $begingroup$

                                              Mathematica (Wolfram language), 32 bytes



                                              OddQ@Log[2,#+Floor@Sqrt[#/2]+2]&


                                              Try it online!



                                              Pure function taking an integer as input and returning True or False. Based on the fact (fun to prove!) that a number n is Cyclops if and only if n plus the square root of n/2 plus 2 rounds down to an odd power of 2. (One can replace Floor by either Ceiling or Round as long as one also replaces +2 by +1.) Returns True on input 0.






                                              share|improve this answer









                                              $endgroup$

















                                                0












                                                $begingroup$

                                                Mathematica (Wolfram language), 32 bytes



                                                OddQ@Log[2,#+Floor@Sqrt[#/2]+2]&


                                                Try it online!



                                                Pure function taking an integer as input and returning True or False. Based on the fact (fun to prove!) that a number n is Cyclops if and only if n plus the square root of n/2 plus 2 rounds down to an odd power of 2. (One can replace Floor by either Ceiling or Round as long as one also replaces +2 by +1.) Returns True on input 0.






                                                share|improve this answer









                                                $endgroup$















                                                  0












                                                  0








                                                  0





                                                  $begingroup$

                                                  Mathematica (Wolfram language), 32 bytes



                                                  OddQ@Log[2,#+Floor@Sqrt[#/2]+2]&


                                                  Try it online!



                                                  Pure function taking an integer as input and returning True or False. Based on the fact (fun to prove!) that a number n is Cyclops if and only if n plus the square root of n/2 plus 2 rounds down to an odd power of 2. (One can replace Floor by either Ceiling or Round as long as one also replaces +2 by +1.) Returns True on input 0.






                                                  share|improve this answer









                                                  $endgroup$



                                                  Mathematica (Wolfram language), 32 bytes



                                                  OddQ@Log[2,#+Floor@Sqrt[#/2]+2]&


                                                  Try it online!



                                                  Pure function taking an integer as input and returning True or False. Based on the fact (fun to prove!) that a number n is Cyclops if and only if n plus the square root of n/2 plus 2 rounds down to an odd power of 2. (One can replace Floor by either Ceiling or Round as long as one also replaces +2 by +1.) Returns True on input 0.







                                                  share|improve this answer












                                                  share|improve this answer



                                                  share|improve this answer










                                                  answered 2 hours ago









                                                  Greg MartinGreg Martin

                                                  12.3k21059




                                                  12.3k21059





















                                                      0












                                                      $begingroup$


                                                      Jelly, 9 bytes



                                                      BŒḂaB¬S=1


                                                      Try it online!






                                                      share|improve this answer









                                                      $endgroup$

















                                                        0












                                                        $begingroup$


                                                        Jelly, 9 bytes



                                                        BŒḂaB¬S=1


                                                        Try it online!






                                                        share|improve this answer









                                                        $endgroup$















                                                          0












                                                          0








                                                          0





                                                          $begingroup$


                                                          Jelly, 9 bytes



                                                          BŒḂaB¬S=1


                                                          Try it online!






                                                          share|improve this answer









                                                          $endgroup$




                                                          Jelly, 9 bytes



                                                          BŒḂaB¬S=1


                                                          Try it online!







                                                          share|improve this answer












                                                          share|improve this answer



                                                          share|improve this answer










                                                          answered 1 hour ago









                                                          Nick KennedyNick Kennedy

                                                          52127




                                                          52127




















                                                              Tau is a new contributor. Be nice, and check out our Code of Conduct.









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                                                              Tau is a new contributor. Be nice, and check out our Code of Conduct.












                                                              Tau is a new contributor. Be nice, and check out our Code of Conduct.











                                                              Tau is a new contributor. Be nice, and check out our Code of Conduct.














                                                              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).




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