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Valid Badminton Score?


Relevant Part for a Badminton ServeConfused badminton players¿xu ti te gismytermorna? (Is it a valid gismu?)Life is a Maze: We take the wrong Path before we learnt to walkIt's a Bit of a Stretch․․․Best Yahtzee scoreLongest Repeating Subsequence of a Single DigitTernary-if ConverterMatrix Jigsaw PuzzlesThe Highest DiceCould you please stop shuffling the deck and play already?The Digit Triangles













27












$begingroup$


Introduction:



I saw there was only one other badminton related challenge right now. Since I play badminton myself (for the past 13 years now), I figured I'd add some badminton-related challenges. Here the first one:



Challenge:



Input: Two integers
Output: One of three distinct and unique outputs of your own choice. One indicating that the input is a valid badminton score AND the set has ended with a winner; one indicating that the input is a valid badminton score AND the set is still in play; one indicating the input is not a valid badminton score.



With badminton, both (pairs of) players start with 0 points, and you stop when one of the two (pairs of) players has reached a score of 21, with at least 2 points difference, up to a maximum of 30-29.



So these are all possible input-pairs (in either order) indicating it's a valid badminton score AND the set has ended:



[[0,21],[1,21],[2,21],[3,21],[4,21],[5,21],[6,21],[7,21],[8,21],[9,21],[10,21],[11,21],[12,21],[13,21],[14,21],[15,21],[16,21],[17,21],[18,21],[19,21],[20,22],[21,23],[22,24],[23,25],[24,26],[25,27],[26,28],[27,29],[28,30],[29,30]]


And these are all possible input-pairs (in either order) indicating it's a valid badminton score BUT the set is still in play:



[[0,0],[0,1],[0,2],[0,3],[0,4],[0,5],[0,6],[0,7],[0,8],[0,9],[0,10],[0,11],[0,12],[0,13],[0,14],[0,15],[0,16],[0,17],[0,18],[0,19],[0,20],[1,1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,11],[1,12],[1,13],[1,14],[1,15],[1,16],[1,17],[1,18],[1,19],[1,20],[2,2],[2,3],[2,4],[2,5],[2,6],[2,7],[2,8],[2,9],[2,10],[2,11],[2,12],[2,13],[2,14],[2,15],[2,16],[2,17],[2,18],[2,19],[2,20],[3,3],[3,4],[3,5],[3,6],[3,7],[3,8],[3,9],[3,10],[3,11],[3,12],[3,13],[3,14],[3,15],[3,16],[3,17],[3,18],[3,19],[3,20],[4,4],[4,5],[4,6],[4,7],[4,8],[4,9],[4,10],[4,11],[4,12],[4,13],[4,14],[4,15],[4,16],[4,17],[4,18],[4,19],[4,20],[5,5],[5,6],[5,7],[5,8],[5,9],[5,10],[5,11],[5,12],[5,13],[5,14],[5,15],[5,16],[5,17],[5,18],[5,19],[5,20],[6,6],[6,7],[6,8],[6,9],[6,10],[6,11],[6,12],[6,13],[6,14],[6,15],[6,16],[6,17],[6,18],[6,19],[6,20],[7,7],[7,8],[7,9],[7,10],[7,11],[7,12],[7,13],[7,14],[7,15],[7,16],[7,17],[7,18],[7,19],[7,20],[8,8],[8,9],[8,10],[8,11],[8,12],[8,13],[8,14],[8,15],[8,16],[8,17],[8,18],[8,19],[8,20],[9,9],[9,10],[9,11],[9,12],[9,13],[9,14],[9,15],[9,16],[9,17],[9,18],[9,19],[9,20],[10,10],[10,11],[10,12],[10,13],[10,14],[10,15],[10,16],[10,17],[10,18],[10,19],[10,20],[11,11],[11,12],[11,13],[11,14],[11,15],[11,16],[11,17],[11,18],[11,19],[11,20],[12,12],[12,13],[12,14],[12,15],[12,16],[12,17],[12,18],[12,19],[12,20],[13,13],[13,14],[13,15],[13,16],[13,17],[13,18],[13,19],[13,20],[14,14],[14,15],[14,16],[14,17],[14,18],[14,19],[14,20],[15,15],[15,16],[15,17],[15,18],[15,19],[15,20],[16,16],[16,17],[16,18],[16,19],[16,20],[17,17],[17,18],[17,19],[17,20],[18,18],[18,19],[18,20],[19,19],[19,20],[20,20],[20,21],[21,21],[21,22],[22,22],[22,23],[23,23],[23,24],[24,24],[24,25],[25,25],[25,26],[26,26],[26,27],[27,27],[27,28],[28,28],[28,29],[29,29]]


Any other pair of integer would be an invalid badminton score.



Challenge rules:



  • I/O is flexible, so:

    • You can take the input as a list of two numbers; two separated numbers through STDIN or function parameters; two strings; etc.

    • Output will be three distinct and unique values of your own choice. Can be integers (i.e. [0,1,2], [1,2,3], [-1,0,1], etc.); can be Booleans (i.e. [true,false,undefined/null/empty]); can be characters/strings (i.e. ["valid & ended","valid","invalid"]); etc.

    • Please specify the I/O you've used in your answer!


  • You are allowed to take the input-integers pre-ordered from lowest to highest or vice-versa.

  • The input integers can be negative, in which case they are of course invalid.

General rules:



  • This is code-golf, so shortest answer in bytes wins.

    Don't let code-golf languages discourage you from posting answers with non-codegolfing languages. Try to come up with an as short as possible answer for 'any' programming language.


  • Standard rules apply for your answer with default I/O rules, so you are allowed to use STDIN/STDOUT, functions/method with the proper parameters and return-type, full programs. Your call.


  • Default Loopholes are forbidden.

  • If possible, please add a link with a test for your code (i.e. TIO).

  • Also, adding an explanation for your answer is highly recommended.

Test cases:



These test cases are valid, and the set has ended:



0 21
12 21
21 23
28 30
29 30


These test cases are valid, but the set is still in play:



0 0
0 20
12 12
21 21
21 22


These test cases are invalid:



-21 19
-19 21
-1 1
12 22
29 31
30 30
42 43
1021 1021









share|improve this question











$endgroup$
















    27












    $begingroup$


    Introduction:



    I saw there was only one other badminton related challenge right now. Since I play badminton myself (for the past 13 years now), I figured I'd add some badminton-related challenges. Here the first one:



    Challenge:



    Input: Two integers
    Output: One of three distinct and unique outputs of your own choice. One indicating that the input is a valid badminton score AND the set has ended with a winner; one indicating that the input is a valid badminton score AND the set is still in play; one indicating the input is not a valid badminton score.



    With badminton, both (pairs of) players start with 0 points, and you stop when one of the two (pairs of) players has reached a score of 21, with at least 2 points difference, up to a maximum of 30-29.



    So these are all possible input-pairs (in either order) indicating it's a valid badminton score AND the set has ended:



    [[0,21],[1,21],[2,21],[3,21],[4,21],[5,21],[6,21],[7,21],[8,21],[9,21],[10,21],[11,21],[12,21],[13,21],[14,21],[15,21],[16,21],[17,21],[18,21],[19,21],[20,22],[21,23],[22,24],[23,25],[24,26],[25,27],[26,28],[27,29],[28,30],[29,30]]


    And these are all possible input-pairs (in either order) indicating it's a valid badminton score BUT the set is still in play:



    [[0,0],[0,1],[0,2],[0,3],[0,4],[0,5],[0,6],[0,7],[0,8],[0,9],[0,10],[0,11],[0,12],[0,13],[0,14],[0,15],[0,16],[0,17],[0,18],[0,19],[0,20],[1,1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,11],[1,12],[1,13],[1,14],[1,15],[1,16],[1,17],[1,18],[1,19],[1,20],[2,2],[2,3],[2,4],[2,5],[2,6],[2,7],[2,8],[2,9],[2,10],[2,11],[2,12],[2,13],[2,14],[2,15],[2,16],[2,17],[2,18],[2,19],[2,20],[3,3],[3,4],[3,5],[3,6],[3,7],[3,8],[3,9],[3,10],[3,11],[3,12],[3,13],[3,14],[3,15],[3,16],[3,17],[3,18],[3,19],[3,20],[4,4],[4,5],[4,6],[4,7],[4,8],[4,9],[4,10],[4,11],[4,12],[4,13],[4,14],[4,15],[4,16],[4,17],[4,18],[4,19],[4,20],[5,5],[5,6],[5,7],[5,8],[5,9],[5,10],[5,11],[5,12],[5,13],[5,14],[5,15],[5,16],[5,17],[5,18],[5,19],[5,20],[6,6],[6,7],[6,8],[6,9],[6,10],[6,11],[6,12],[6,13],[6,14],[6,15],[6,16],[6,17],[6,18],[6,19],[6,20],[7,7],[7,8],[7,9],[7,10],[7,11],[7,12],[7,13],[7,14],[7,15],[7,16],[7,17],[7,18],[7,19],[7,20],[8,8],[8,9],[8,10],[8,11],[8,12],[8,13],[8,14],[8,15],[8,16],[8,17],[8,18],[8,19],[8,20],[9,9],[9,10],[9,11],[9,12],[9,13],[9,14],[9,15],[9,16],[9,17],[9,18],[9,19],[9,20],[10,10],[10,11],[10,12],[10,13],[10,14],[10,15],[10,16],[10,17],[10,18],[10,19],[10,20],[11,11],[11,12],[11,13],[11,14],[11,15],[11,16],[11,17],[11,18],[11,19],[11,20],[12,12],[12,13],[12,14],[12,15],[12,16],[12,17],[12,18],[12,19],[12,20],[13,13],[13,14],[13,15],[13,16],[13,17],[13,18],[13,19],[13,20],[14,14],[14,15],[14,16],[14,17],[14,18],[14,19],[14,20],[15,15],[15,16],[15,17],[15,18],[15,19],[15,20],[16,16],[16,17],[16,18],[16,19],[16,20],[17,17],[17,18],[17,19],[17,20],[18,18],[18,19],[18,20],[19,19],[19,20],[20,20],[20,21],[21,21],[21,22],[22,22],[22,23],[23,23],[23,24],[24,24],[24,25],[25,25],[25,26],[26,26],[26,27],[27,27],[27,28],[28,28],[28,29],[29,29]]


    Any other pair of integer would be an invalid badminton score.



    Challenge rules:



    • I/O is flexible, so:

      • You can take the input as a list of two numbers; two separated numbers through STDIN or function parameters; two strings; etc.

      • Output will be three distinct and unique values of your own choice. Can be integers (i.e. [0,1,2], [1,2,3], [-1,0,1], etc.); can be Booleans (i.e. [true,false,undefined/null/empty]); can be characters/strings (i.e. ["valid & ended","valid","invalid"]); etc.

      • Please specify the I/O you've used in your answer!


    • You are allowed to take the input-integers pre-ordered from lowest to highest or vice-versa.

    • The input integers can be negative, in which case they are of course invalid.

    General rules:



    • This is code-golf, so shortest answer in bytes wins.

      Don't let code-golf languages discourage you from posting answers with non-codegolfing languages. Try to come up with an as short as possible answer for 'any' programming language.


    • Standard rules apply for your answer with default I/O rules, so you are allowed to use STDIN/STDOUT, functions/method with the proper parameters and return-type, full programs. Your call.


    • Default Loopholes are forbidden.

    • If possible, please add a link with a test for your code (i.e. TIO).

    • Also, adding an explanation for your answer is highly recommended.

    Test cases:



    These test cases are valid, and the set has ended:



    0 21
    12 21
    21 23
    28 30
    29 30


    These test cases are valid, but the set is still in play:



    0 0
    0 20
    12 12
    21 21
    21 22


    These test cases are invalid:



    -21 19
    -19 21
    -1 1
    12 22
    29 31
    30 30
    42 43
    1021 1021









    share|improve this question











    $endgroup$














      27












      27








      27


      2



      $begingroup$


      Introduction:



      I saw there was only one other badminton related challenge right now. Since I play badminton myself (for the past 13 years now), I figured I'd add some badminton-related challenges. Here the first one:



      Challenge:



      Input: Two integers
      Output: One of three distinct and unique outputs of your own choice. One indicating that the input is a valid badminton score AND the set has ended with a winner; one indicating that the input is a valid badminton score AND the set is still in play; one indicating the input is not a valid badminton score.



      With badminton, both (pairs of) players start with 0 points, and you stop when one of the two (pairs of) players has reached a score of 21, with at least 2 points difference, up to a maximum of 30-29.



      So these are all possible input-pairs (in either order) indicating it's a valid badminton score AND the set has ended:



      [[0,21],[1,21],[2,21],[3,21],[4,21],[5,21],[6,21],[7,21],[8,21],[9,21],[10,21],[11,21],[12,21],[13,21],[14,21],[15,21],[16,21],[17,21],[18,21],[19,21],[20,22],[21,23],[22,24],[23,25],[24,26],[25,27],[26,28],[27,29],[28,30],[29,30]]


      And these are all possible input-pairs (in either order) indicating it's a valid badminton score BUT the set is still in play:



      [[0,0],[0,1],[0,2],[0,3],[0,4],[0,5],[0,6],[0,7],[0,8],[0,9],[0,10],[0,11],[0,12],[0,13],[0,14],[0,15],[0,16],[0,17],[0,18],[0,19],[0,20],[1,1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,11],[1,12],[1,13],[1,14],[1,15],[1,16],[1,17],[1,18],[1,19],[1,20],[2,2],[2,3],[2,4],[2,5],[2,6],[2,7],[2,8],[2,9],[2,10],[2,11],[2,12],[2,13],[2,14],[2,15],[2,16],[2,17],[2,18],[2,19],[2,20],[3,3],[3,4],[3,5],[3,6],[3,7],[3,8],[3,9],[3,10],[3,11],[3,12],[3,13],[3,14],[3,15],[3,16],[3,17],[3,18],[3,19],[3,20],[4,4],[4,5],[4,6],[4,7],[4,8],[4,9],[4,10],[4,11],[4,12],[4,13],[4,14],[4,15],[4,16],[4,17],[4,18],[4,19],[4,20],[5,5],[5,6],[5,7],[5,8],[5,9],[5,10],[5,11],[5,12],[5,13],[5,14],[5,15],[5,16],[5,17],[5,18],[5,19],[5,20],[6,6],[6,7],[6,8],[6,9],[6,10],[6,11],[6,12],[6,13],[6,14],[6,15],[6,16],[6,17],[6,18],[6,19],[6,20],[7,7],[7,8],[7,9],[7,10],[7,11],[7,12],[7,13],[7,14],[7,15],[7,16],[7,17],[7,18],[7,19],[7,20],[8,8],[8,9],[8,10],[8,11],[8,12],[8,13],[8,14],[8,15],[8,16],[8,17],[8,18],[8,19],[8,20],[9,9],[9,10],[9,11],[9,12],[9,13],[9,14],[9,15],[9,16],[9,17],[9,18],[9,19],[9,20],[10,10],[10,11],[10,12],[10,13],[10,14],[10,15],[10,16],[10,17],[10,18],[10,19],[10,20],[11,11],[11,12],[11,13],[11,14],[11,15],[11,16],[11,17],[11,18],[11,19],[11,20],[12,12],[12,13],[12,14],[12,15],[12,16],[12,17],[12,18],[12,19],[12,20],[13,13],[13,14],[13,15],[13,16],[13,17],[13,18],[13,19],[13,20],[14,14],[14,15],[14,16],[14,17],[14,18],[14,19],[14,20],[15,15],[15,16],[15,17],[15,18],[15,19],[15,20],[16,16],[16,17],[16,18],[16,19],[16,20],[17,17],[17,18],[17,19],[17,20],[18,18],[18,19],[18,20],[19,19],[19,20],[20,20],[20,21],[21,21],[21,22],[22,22],[22,23],[23,23],[23,24],[24,24],[24,25],[25,25],[25,26],[26,26],[26,27],[27,27],[27,28],[28,28],[28,29],[29,29]]


      Any other pair of integer would be an invalid badminton score.



      Challenge rules:



      • I/O is flexible, so:

        • You can take the input as a list of two numbers; two separated numbers through STDIN or function parameters; two strings; etc.

        • Output will be three distinct and unique values of your own choice. Can be integers (i.e. [0,1,2], [1,2,3], [-1,0,1], etc.); can be Booleans (i.e. [true,false,undefined/null/empty]); can be characters/strings (i.e. ["valid & ended","valid","invalid"]); etc.

        • Please specify the I/O you've used in your answer!


      • You are allowed to take the input-integers pre-ordered from lowest to highest or vice-versa.

      • The input integers can be negative, in which case they are of course invalid.

      General rules:



      • This is code-golf, so shortest answer in bytes wins.

        Don't let code-golf languages discourage you from posting answers with non-codegolfing languages. Try to come up with an as short as possible answer for 'any' programming language.


      • Standard rules apply for your answer with default I/O rules, so you are allowed to use STDIN/STDOUT, functions/method with the proper parameters and return-type, full programs. Your call.


      • Default Loopholes are forbidden.

      • If possible, please add a link with a test for your code (i.e. TIO).

      • Also, adding an explanation for your answer is highly recommended.

      Test cases:



      These test cases are valid, and the set has ended:



      0 21
      12 21
      21 23
      28 30
      29 30


      These test cases are valid, but the set is still in play:



      0 0
      0 20
      12 12
      21 21
      21 22


      These test cases are invalid:



      -21 19
      -19 21
      -1 1
      12 22
      29 31
      30 30
      42 43
      1021 1021









      share|improve this question











      $endgroup$




      Introduction:



      I saw there was only one other badminton related challenge right now. Since I play badminton myself (for the past 13 years now), I figured I'd add some badminton-related challenges. Here the first one:



      Challenge:



      Input: Two integers
      Output: One of three distinct and unique outputs of your own choice. One indicating that the input is a valid badminton score AND the set has ended with a winner; one indicating that the input is a valid badminton score AND the set is still in play; one indicating the input is not a valid badminton score.



      With badminton, both (pairs of) players start with 0 points, and you stop when one of the two (pairs of) players has reached a score of 21, with at least 2 points difference, up to a maximum of 30-29.



      So these are all possible input-pairs (in either order) indicating it's a valid badminton score AND the set has ended:



      [[0,21],[1,21],[2,21],[3,21],[4,21],[5,21],[6,21],[7,21],[8,21],[9,21],[10,21],[11,21],[12,21],[13,21],[14,21],[15,21],[16,21],[17,21],[18,21],[19,21],[20,22],[21,23],[22,24],[23,25],[24,26],[25,27],[26,28],[27,29],[28,30],[29,30]]


      And these are all possible input-pairs (in either order) indicating it's a valid badminton score BUT the set is still in play:



      [[0,0],[0,1],[0,2],[0,3],[0,4],[0,5],[0,6],[0,7],[0,8],[0,9],[0,10],[0,11],[0,12],[0,13],[0,14],[0,15],[0,16],[0,17],[0,18],[0,19],[0,20],[1,1],[1,2],[1,3],[1,4],[1,5],[1,6],[1,7],[1,8],[1,9],[1,10],[1,11],[1,12],[1,13],[1,14],[1,15],[1,16],[1,17],[1,18],[1,19],[1,20],[2,2],[2,3],[2,4],[2,5],[2,6],[2,7],[2,8],[2,9],[2,10],[2,11],[2,12],[2,13],[2,14],[2,15],[2,16],[2,17],[2,18],[2,19],[2,20],[3,3],[3,4],[3,5],[3,6],[3,7],[3,8],[3,9],[3,10],[3,11],[3,12],[3,13],[3,14],[3,15],[3,16],[3,17],[3,18],[3,19],[3,20],[4,4],[4,5],[4,6],[4,7],[4,8],[4,9],[4,10],[4,11],[4,12],[4,13],[4,14],[4,15],[4,16],[4,17],[4,18],[4,19],[4,20],[5,5],[5,6],[5,7],[5,8],[5,9],[5,10],[5,11],[5,12],[5,13],[5,14],[5,15],[5,16],[5,17],[5,18],[5,19],[5,20],[6,6],[6,7],[6,8],[6,9],[6,10],[6,11],[6,12],[6,13],[6,14],[6,15],[6,16],[6,17],[6,18],[6,19],[6,20],[7,7],[7,8],[7,9],[7,10],[7,11],[7,12],[7,13],[7,14],[7,15],[7,16],[7,17],[7,18],[7,19],[7,20],[8,8],[8,9],[8,10],[8,11],[8,12],[8,13],[8,14],[8,15],[8,16],[8,17],[8,18],[8,19],[8,20],[9,9],[9,10],[9,11],[9,12],[9,13],[9,14],[9,15],[9,16],[9,17],[9,18],[9,19],[9,20],[10,10],[10,11],[10,12],[10,13],[10,14],[10,15],[10,16],[10,17],[10,18],[10,19],[10,20],[11,11],[11,12],[11,13],[11,14],[11,15],[11,16],[11,17],[11,18],[11,19],[11,20],[12,12],[12,13],[12,14],[12,15],[12,16],[12,17],[12,18],[12,19],[12,20],[13,13],[13,14],[13,15],[13,16],[13,17],[13,18],[13,19],[13,20],[14,14],[14,15],[14,16],[14,17],[14,18],[14,19],[14,20],[15,15],[15,16],[15,17],[15,18],[15,19],[15,20],[16,16],[16,17],[16,18],[16,19],[16,20],[17,17],[17,18],[17,19],[17,20],[18,18],[18,19],[18,20],[19,19],[19,20],[20,20],[20,21],[21,21],[21,22],[22,22],[22,23],[23,23],[23,24],[24,24],[24,25],[25,25],[25,26],[26,26],[26,27],[27,27],[27,28],[28,28],[28,29],[29,29]]


      Any other pair of integer would be an invalid badminton score.



      Challenge rules:



      • I/O is flexible, so:

        • You can take the input as a list of two numbers; two separated numbers through STDIN or function parameters; two strings; etc.

        • Output will be three distinct and unique values of your own choice. Can be integers (i.e. [0,1,2], [1,2,3], [-1,0,1], etc.); can be Booleans (i.e. [true,false,undefined/null/empty]); can be characters/strings (i.e. ["valid & ended","valid","invalid"]); etc.

        • Please specify the I/O you've used in your answer!


      • You are allowed to take the input-integers pre-ordered from lowest to highest or vice-versa.

      • The input integers can be negative, in which case they are of course invalid.

      General rules:



      • This is code-golf, so shortest answer in bytes wins.

        Don't let code-golf languages discourage you from posting answers with non-codegolfing languages. Try to come up with an as short as possible answer for 'any' programming language.


      • Standard rules apply for your answer with default I/O rules, so you are allowed to use STDIN/STDOUT, functions/method with the proper parameters and return-type, full programs. Your call.


      • Default Loopholes are forbidden.

      • If possible, please add a link with a test for your code (i.e. TIO).

      • Also, adding an explanation for your answer is highly recommended.

      Test cases:



      These test cases are valid, and the set has ended:



      0 21
      12 21
      21 23
      28 30
      29 30


      These test cases are valid, but the set is still in play:



      0 0
      0 20
      12 12
      21 21
      21 22


      These test cases are invalid:



      -21 19
      -19 21
      -1 1
      12 22
      29 31
      30 30
      42 43
      1021 1021






      code-golf number integer






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited Mar 26 at 16:03







      Kevin Cruijssen

















      asked Mar 26 at 14:59









      Kevin CruijssenKevin Cruijssen

      43.7k573222




      43.7k573222




















          13 Answers
          13






          active

          oldest

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          1












          $begingroup$


          Stax, 20 bytes



          ÇåπßéD╩¬7▼ß▌ΣU¬í╡S┤╘


          Run and debug it



          It takes input in the same format as the examples. 0 means there's a valid winner. 1 means the game is in progress. -1 means invalid score.



          In pseudo-code, with ordered inputs x and y, the algorithm is



          sign(clamp(x + 2, 21, 30) - y) | (x < 0 || x >= 30 ? 0 : -1)



          • sign means numeric sign (-1, 0, or 1)


          • clamp forces its first argument into the specified half-open interval





          share|improve this answer









          $endgroup$




















            6












            $begingroup$


            Python 2, 97 95 75 72 71 70 69 64 55 54 52 51 50 48 bytes





            lambda a,b:(b-61<~a<a>b/22*b-3)*~(19<b-(b<30)>a)


            Try it online!



            Takes input as pre-ordered a,b.



            Returns -2, -1, 0 for ended, in play, invalid.



            -1 byte, thanks to Kevin Cruijssen




            Left part (b-61<~a<a>b/22*b-3) is a validity-check, and right part (19<b-(b<30)>a) is a check for game ended.






            share|improve this answer











            $endgroup$




















              6












              $begingroup$


              Python 2, 47 bytes





              lambda a,b:[61>60-a>b<3+max(19,a)for b in-~b,b]


              Try it online!



              Outputs a list of two Booleans. Thanks to TFeld for writing a test suite in their answer that made it easy to check my solution.



              ended: [False, True]
              going: [True, True]
              invalid: [False, False]


              The key insight is that a valid score ends the game exactly if increasing the higher value b makes the score invalid. So, we just code up the validity condition, and check it for (a,b+1) in addition to (a,b) to see if the game has ended.



              Validity is checked via three conditions that are chained together:




              • b<3+max(19,a): Checks that the higher score b isn't past winning, with either b<=21 or b<=a+2 (win by two)


              • 60-a>b: Equivalent to a+b<=59, ensuring the score isn't above (29,30)


              • 61>60-a: Equivalent to a>=0, ensures the lower score is non-negative



              Python 2, 44 bytes





              lambda a,b:[b-61<~a<a>b/22*b-3for b in-~b,b]


              Try it online!



              An improved validity check by TFeld saves 3 bytes. The main idea is to branch on "overtime" b>21 with b/22*b which effectively sets below-21 scores to zero, whereas I'd branched on a>19 with the longer max(19,a).





              Python 2, 43 bytes





              lambda a,b:a>>99|cmp(2+max(19,a)%30-a/29,b)


              Try it online!



              Outputs:



              ended: 0
              going: -1
              invalid: 1


              Assumes that the inputs are not below $-2^99$.






              share|improve this answer











              $endgroup$








              • 1




                $begingroup$
                Using my newest validity-check (b-61<~a<a>b/22*b-3), you can save 3 bytes.
                $endgroup$
                – TFeld
                Mar 27 at 11:17







              • 1




                $begingroup$
                +1 byte to make your second solution work for all inputs: lambda a,b:-(a<0)|cmp(2+max(19,a)%30-a/29,b)
                $endgroup$
                – TFeld
                Mar 27 at 12:51



















              4












              $begingroup$

              JavaScript (ES6),  55 53  48 bytes



              Thanks to @KevinCruijssen for noticing that I was not fully assuming $ale b$ (saving 5 bytes)



              Takes input as (a)(b) with $ale b$. Returns $0$ (valid), $1$ (ended) or $2$ (invalid).





              a=>b=>a<0|a>29|b>30|b>21&b-a>2?2:b>20&b-a>1|b>29


              Try it online!






              share|improve this answer











              $endgroup$




















                4












                $begingroup$


                C# (Visual C# Interactive Compiler), 53 52 bytes





                a=>b=>b<0|a-b>2&a>21|b>29|a>30?3:a>20&a-b>1|a>29?1:2


                Called as f(max)(min). Returns 3 for invalid, 1 for finished, 2 for ongoing.



                Saved 1 byte thanks to Kevin Cruijjsen



                Try it online!






                share|improve this answer











                $endgroup$




















                  4












                  $begingroup$


                  Jelly, 25 bytes



                  »19«28‘<‘×+2>ɗʋ⁹×,%Ƒ“œþ‘ɗ


                  Try it online!



                  Left argument: minimum. Right argument: maximum.

                  Invalid: 0. Ongoing: 1. Ended: 2.



                  Mathematically, this works as below (the left argument is $x$, the right is $y$):



                  $$[a]=casesacolon1\lnot acolon0\otimes(a,b)=(abmod30,bbmod31)\x,yinmathbb Z\X:=min(max(x+1,20),29)\p:=(x,y)\([X<y]+1)[X+2>y][p=otimes p]$$



                  Explanation:



                  »19«28‘<‘×+2>ɗʋ⁹×,%Ƒ“œþ‘ɗ Left argument: x, Right argument: y
                  »19«28‘ X := Bound x + 1 in [20, 29]:
                  »19 X := max(x, 19).
                  «28 X := min(X, 28).
                  ‘ X := X + 1.
                  <‘×+2>ɗʋ⁹ X := If X + 2 <= y, then 0, else if X < y, then 2, else 1:
                  < t := If X < y, then 1, else 0.
                  ‘ t := t + 1.
                  +2>ɗ u := Check if X + 2 > y:
                  +2 u := X + 2.
                  > u := If u > y, then 1, else 0.
                  × X := t * u.
                  ,%Ƒ“œþ‘ɗ z := If x mod 30 = x and y mod 31 = y, then 1, else 0:
                  , z := (x, y).
                  % “œþ‘ m := z mod (30, 31) = (x mod 30, y mod 31).
                  Ƒ z := If z = m, then 1, else 0.
                  × X * z.





                  share|improve this answer











                  $endgroup$




















                    3












                    $begingroup$


                    VDM-SL, 80 bytes





                    f(i,j)==if(j-i>2and j>21)or(i<0or i=30or j>30)thenelse(j>20and j-i>1or j=30) 


                    This function takes the scores ordered in ascending order and returns the empty set if the score is invalid or the set containing whether the set is complete (so true if the set is complete and valid and false if the set is incomplete and valid)



                    A full program to run might look like this:



                    functions
                    f:int*int+>set of bool
                    f(i,j)==if(j-i>2and j>21)or(i<0or i=30or j>30)thenelse(j>20and j-i>1or j=30)


                    Explanation:



                    if(j-i>2 and j>21) /*if scores are too far apart*/
                    or(i<0 or i=30 or j>30) /*or scores not in a valid range*/
                    then /*return the empty set*/
                    else /*else return the set containing...*/
                    (j>20 and j-i>1 or j=30) /*if the set is complete*/





                    share|improve this answer









                    $endgroup$




















                      3












                      $begingroup$


                      Java (JDK), 59 48 bytes





                      a->b->b<0|b>29|a>b+2&a>21|a>30?0:a<21|a<30&a<b+2


                      Try it online!



                      Returns an Object, which is the Integer 0 for invalid games and the Booleans true and false for valid ongoing games and for valid finished games respectively. Takes the score ordered (and curried), with the higher score first.



                      -2 bytes by inverting the end-of-match check.
                      -11 bytes by currying, using bitwise operators, and some return type autoboxing trickery - thanks to @KevinCruijssen



                      Ungolfed



                      a-> // Curried: Target type IntFunction<IntFunction<Object>>
                      b-> // Target type IntFunction<Object>
                      // Invalid if:
                      b<0 // Any score is negative
                      | b > 29 // Both scores above 29
                      | a > b + 2 // Lead too big
                      & a > 21 // and leader has at least 21 points
                      | a > 30 // Anyone has 31 points
                      ? 0 // If invalid, return 0 (autoboxed to Integer)
                      // If valid, return whether the game is ongoing (autoboxed to Boolean)
                      // Ongoing if:
                      : a < 21 // Nobody has 21 points
                      | a < 30 // Leader has fewer than 30 points
                      & a < b + 2 // and lead is small





                      share|improve this answer











                      $endgroup$




















                        3












                        $begingroup$


                        APL (Dyalog Unicode), 35 bytesSBCS





                        Infix tacit function where ended is 2, ongoing is 1, invalid is 0, smaller and larger scores are left.



                        (,≡30 31|,)×(⊢<2+X)×1+⊢>X←29⌊20⌈1+⊣


                        Try it online!



                        Implements Erik the Outgolfer's mathematical formulas combined into



                        $$X:=min(max(x+1,20),29)\ ([X< y]+1)[X+2>y][(x,y)=(xbmod30,ybmod31)]$$
                        rearranged (as if traditional mathematical notation had vectorisation and inline assignments) to



                        $$[(x,y)=(x,y)bmod(30,31)]×[y<2+X]×(1+[y< (X:=min(29,max(20,1+x)))])$$



                        and translated directly to APL (which is strictly right-associative, so we avoid some parentheses):



                        $$((x,y)≡30 31​|​x,y)×(y<2+X)×1+y>X←29​⌊​20​⌈​1 +x$$



                        This can be converted into a tacit function simply by substituting $⊣$ for $x$ and $⊢$ for $y$, symbolising the left and right arguments rather than the two variables:



                        $$((⊣​,⊢)≡30 31​|⊣​,⊢)×(⊣​<2+X)×1​+⊢​>X←29​⌊​20​⌈​1​+⊣$$



                        Now $⊣⎕⊢$ is equivalent to $⎕$ for any infix function $⎕$, so we can simplify to



                        $$(,​≡30 31​|​,)×(⊣​<2+X)×1​+⊢​>X←29​⌊​20​⌈​1​+⊣$$



                        which is our solution; (,≡30 31|,)×(⊢<2+X)×1+⊢>X←29⌊20⌈1+⊣:



                         the left argument; $x$
                        1+ one plus that; $1+x$
                        20⌈ maximum of 20 and that; $max(20,…)$
                        29⌊ minimum of 29 and that; $min(29,…)$
                        X← assign that to X; $X:=…$
                        ⊢> is the right argument greater (0/1)?; $[y>…]$
                        1+ add one; $1+…$
                        ( multiply the following by that; $(…)×…$

                        2+X two plus X; $2+X$

                        ⊢< is the right argument less than that (0/1); $[y<…]$
                        ( multiply the following by that; $(…)×…$

                        , concatenate the arguments; $(x,y)$

                        30 31| remainders when divided by these numbers; $…mod(30,31)$

                        ,≡ are the concatenated arguments identical to that (0/1)?; $[(x,y)=…]$






                        share|improve this answer











                        $endgroup$




















                          3












                          $begingroup$

                          x86 Assembly, 42 Bytes



                          Takes input in ECX and EDX registers. Note that ECX must be greater than EDX.

                          Outputs into EAX, where 0 means the game's still on, 1 representing the game being over and -1 (aka FFFFFFFF) representing an invalid score.



                          31 C0 83 F9 1E 77 1F 83 FA 1D 77 1A 83 F9 15 7C 
                          18 83 F9 1E 74 12 89 CB 29 D3 83 FB 02 74 09 7C
                          08 83 F9 15 74 02 48 C3 40 C3


                          Or, more readable in Intel Syntax:



                          check:
                          XOR EAX, EAX
                          CMP ECX, 30 ; check i_1 against 30
                          JA .invalid ; if >, invalid.
                          CMP EDX, 29 ; check i_2 against 29
                          JA .invalid ; if >, invalid.
                          CMP ECX, 21 ; check i_1 against 21
                          JL .runi ; if <, running.
                          CMP ECX, 30 ; check i_1 against 30
                          JE .over ; if ==, over.
                          MOV EBX, ECX
                          SUB EBX, EDX ; EBX = i_1 - i_2
                          CMP EBX, 2 ; check EBX against 2
                          JE .over ; if ==, over.
                          JL .runi ; if <, running.
                          ; if >, keep executing!
                          CMP ECX, 21 ; check i_1 against 21
                          JE .over ; if ==, over.
                          ; otherwise, it's invalid.
                          ; fallthrough!
                          .invalid:
                          DEC EAX ; EAX = -1
                          RETN
                          .over:
                          INC EAX ; EAX = 1
                          ; fallthrough!
                          .runi:
                          RETN ; EAX = 0 or 1


                          Fun fact: this function almost follows the C Calling Convention's rules on which registers to preserve, except I had to clobber EBX to save some bytes on stack usage.



                          Optional (not included in byte-count)



                          By adding the following 6 bytes directly before start of the code above, you can pass ECX and EDX unordered:



                          39 D1 7D 02 87 CA


                          Which is the following in readable Intel Syntax:



                          CMP ECX, EDX
                          JGE check
                          XCHG ECX, EDX





                          share|improve this answer









                          $endgroup$




















                            2












                            $begingroup$


                            Retina 0.8.2, 92 bytes



                            d+
                            $*
                            ^(10,19,121|(120,28),112|129,130)$|^(1*,10,20|(10,28),1?4)$|.+
                            $#1$#3


                            Try it online! Link includes test cases. Takes input in ascending order. Explanation: The first stage simply converts from decimal to unary so that the scores can be properly compared. The second stage contains six alternate patterns, grouped into three groups so that three distinct values can be output, which are 10 for win, 01 for ongoing and 00 for illegal. The patterns are:



                            • Against 0-19, a score of 21 is a win

                            • Against 20-28, a score of +2 is a win

                            • Against 29, a score of 30 is a win

                            • Against any (lower) score, a score of 0-20 is ongoing

                            • Against a score of up to 28, a score of +1 is ongoing

                            • Anything else (including negative scores) is illegal





                            share|improve this answer









                            $endgroup$




















                              1












                              $begingroup$


                              APL (Dyalog Unicode), 33 32 bytesSBCS





                              h⍵+1 0+h←(⊢≡31 30|⊢)×21 2∨.≥-


                              Try it online!



                              in: a pair in descending order



                              out: 2=ongoing, 1=ended, 0=invalid



                              tests stolen from Adám's answer






                              share|improve this answer











                              $endgroup$




















                                1












                                $begingroup$


                                Bash 4+, 97 89 91 88 bytes



                                Assume that inputs are ascending. Used concepts from VDM-SL answer. Try it Online

                                z==0 - game in progress
                                z==1 - game completed
                                z==2 - invalid



                                -8 by bracket cleanup from (( & | )) conditions
                                +2 fixing a bug, thanks to Kevin Cruijssen
                                -3 logic improvements by Kevin Cruijssen



                                i=$1 j=$2 z=0
                                ((j-i>2&j>21|i<0|i>29|j>30?z=2:0))
                                ((z<1&(j>20&j-i>1|j>29)?z=1:0))
                                echo $z





                                share|improve this answer











                                $endgroup$








                                • 1




                                  $begingroup$
                                  Your 89 bytes version seems to output 1 instead of 2 for 0 30. Your 97 bytes version was working correctly, so if you're unable to fix it, you can always rollback. Upvoted for that 97 version. :)
                                  $endgroup$
                                  – Kevin Cruijssen
                                  Mar 28 at 13:59







                                • 1




                                  $begingroup$
                                  This should fix it, and golf a byte at the same time. :)
                                  $endgroup$
                                  – Kevin Cruijssen
                                  Mar 28 at 14:05







                                • 1




                                  $begingroup$
                                  I fixed it, but yours was better! Hard to keep up :P
                                  $endgroup$
                                  – roblogic
                                  Mar 28 at 14:14










                                • $begingroup$
                                  Bug at 29 30 :( it should be "completed"
                                  $endgroup$
                                  – roblogic
                                  Apr 3 at 8:39






                                • 1




                                  $begingroup$
                                  Ah oops.. the i>29 should be j>29 in the second ternary to fix it.
                                  $endgroup$
                                  – Kevin Cruijssen
                                  Apr 3 at 8:42











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                                13 Answers
                                13






                                active

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                                13 Answers
                                13






                                active

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                                active

                                oldest

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                                active

                                oldest

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                                1












                                $begingroup$


                                Stax, 20 bytes



                                ÇåπßéD╩¬7▼ß▌ΣU¬í╡S┤╘


                                Run and debug it



                                It takes input in the same format as the examples. 0 means there's a valid winner. 1 means the game is in progress. -1 means invalid score.



                                In pseudo-code, with ordered inputs x and y, the algorithm is



                                sign(clamp(x + 2, 21, 30) - y) | (x < 0 || x >= 30 ? 0 : -1)



                                • sign means numeric sign (-1, 0, or 1)


                                • clamp forces its first argument into the specified half-open interval





                                share|improve this answer









                                $endgroup$

















                                  1












                                  $begingroup$


                                  Stax, 20 bytes



                                  ÇåπßéD╩¬7▼ß▌ΣU¬í╡S┤╘


                                  Run and debug it



                                  It takes input in the same format as the examples. 0 means there's a valid winner. 1 means the game is in progress. -1 means invalid score.



                                  In pseudo-code, with ordered inputs x and y, the algorithm is



                                  sign(clamp(x + 2, 21, 30) - y) | (x < 0 || x >= 30 ? 0 : -1)



                                  • sign means numeric sign (-1, 0, or 1)


                                  • clamp forces its first argument into the specified half-open interval





                                  share|improve this answer









                                  $endgroup$















                                    1












                                    1








                                    1





                                    $begingroup$


                                    Stax, 20 bytes



                                    ÇåπßéD╩¬7▼ß▌ΣU¬í╡S┤╘


                                    Run and debug it



                                    It takes input in the same format as the examples. 0 means there's a valid winner. 1 means the game is in progress. -1 means invalid score.



                                    In pseudo-code, with ordered inputs x and y, the algorithm is



                                    sign(clamp(x + 2, 21, 30) - y) | (x < 0 || x >= 30 ? 0 : -1)



                                    • sign means numeric sign (-1, 0, or 1)


                                    • clamp forces its first argument into the specified half-open interval





                                    share|improve this answer









                                    $endgroup$




                                    Stax, 20 bytes



                                    ÇåπßéD╩¬7▼ß▌ΣU¬í╡S┤╘


                                    Run and debug it



                                    It takes input in the same format as the examples. 0 means there's a valid winner. 1 means the game is in progress. -1 means invalid score.



                                    In pseudo-code, with ordered inputs x and y, the algorithm is



                                    sign(clamp(x + 2, 21, 30) - y) | (x < 0 || x >= 30 ? 0 : -1)



                                    • sign means numeric sign (-1, 0, or 1)


                                    • clamp forces its first argument into the specified half-open interval






                                    share|improve this answer












                                    share|improve this answer



                                    share|improve this answer










                                    answered Apr 4 at 22:58









                                    recursiverecursive

                                    5,7441322




                                    5,7441322





















                                        6












                                        $begingroup$


                                        Python 2, 97 95 75 72 71 70 69 64 55 54 52 51 50 48 bytes





                                        lambda a,b:(b-61<~a<a>b/22*b-3)*~(19<b-(b<30)>a)


                                        Try it online!



                                        Takes input as pre-ordered a,b.



                                        Returns -2, -1, 0 for ended, in play, invalid.



                                        -1 byte, thanks to Kevin Cruijssen




                                        Left part (b-61<~a<a>b/22*b-3) is a validity-check, and right part (19<b-(b<30)>a) is a check for game ended.






                                        share|improve this answer











                                        $endgroup$

















                                          6












                                          $begingroup$


                                          Python 2, 97 95 75 72 71 70 69 64 55 54 52 51 50 48 bytes





                                          lambda a,b:(b-61<~a<a>b/22*b-3)*~(19<b-(b<30)>a)


                                          Try it online!



                                          Takes input as pre-ordered a,b.



                                          Returns -2, -1, 0 for ended, in play, invalid.



                                          -1 byte, thanks to Kevin Cruijssen




                                          Left part (b-61<~a<a>b/22*b-3) is a validity-check, and right part (19<b-(b<30)>a) is a check for game ended.






                                          share|improve this answer











                                          $endgroup$















                                            6












                                            6








                                            6





                                            $begingroup$


                                            Python 2, 97 95 75 72 71 70 69 64 55 54 52 51 50 48 bytes





                                            lambda a,b:(b-61<~a<a>b/22*b-3)*~(19<b-(b<30)>a)


                                            Try it online!



                                            Takes input as pre-ordered a,b.



                                            Returns -2, -1, 0 for ended, in play, invalid.



                                            -1 byte, thanks to Kevin Cruijssen




                                            Left part (b-61<~a<a>b/22*b-3) is a validity-check, and right part (19<b-(b<30)>a) is a check for game ended.






                                            share|improve this answer











                                            $endgroup$




                                            Python 2, 97 95 75 72 71 70 69 64 55 54 52 51 50 48 bytes





                                            lambda a,b:(b-61<~a<a>b/22*b-3)*~(19<b-(b<30)>a)


                                            Try it online!



                                            Takes input as pre-ordered a,b.



                                            Returns -2, -1, 0 for ended, in play, invalid.



                                            -1 byte, thanks to Kevin Cruijssen




                                            Left part (b-61<~a<a>b/22*b-3) is a validity-check, and right part (19<b-(b<30)>a) is a check for game ended.







                                            share|improve this answer














                                            share|improve this answer



                                            share|improve this answer








                                            edited Mar 27 at 11:14

























                                            answered Mar 26 at 15:46









                                            TFeldTFeld

                                            16.6k21451




                                            16.6k21451





















                                                6












                                                $begingroup$


                                                Python 2, 47 bytes





                                                lambda a,b:[61>60-a>b<3+max(19,a)for b in-~b,b]


                                                Try it online!



                                                Outputs a list of two Booleans. Thanks to TFeld for writing a test suite in their answer that made it easy to check my solution.



                                                ended: [False, True]
                                                going: [True, True]
                                                invalid: [False, False]


                                                The key insight is that a valid score ends the game exactly if increasing the higher value b makes the score invalid. So, we just code up the validity condition, and check it for (a,b+1) in addition to (a,b) to see if the game has ended.



                                                Validity is checked via three conditions that are chained together:




                                                • b<3+max(19,a): Checks that the higher score b isn't past winning, with either b<=21 or b<=a+2 (win by two)


                                                • 60-a>b: Equivalent to a+b<=59, ensuring the score isn't above (29,30)


                                                • 61>60-a: Equivalent to a>=0, ensures the lower score is non-negative



                                                Python 2, 44 bytes





                                                lambda a,b:[b-61<~a<a>b/22*b-3for b in-~b,b]


                                                Try it online!



                                                An improved validity check by TFeld saves 3 bytes. The main idea is to branch on "overtime" b>21 with b/22*b which effectively sets below-21 scores to zero, whereas I'd branched on a>19 with the longer max(19,a).





                                                Python 2, 43 bytes





                                                lambda a,b:a>>99|cmp(2+max(19,a)%30-a/29,b)


                                                Try it online!



                                                Outputs:



                                                ended: 0
                                                going: -1
                                                invalid: 1


                                                Assumes that the inputs are not below $-2^99$.






                                                share|improve this answer











                                                $endgroup$








                                                • 1




                                                  $begingroup$
                                                  Using my newest validity-check (b-61<~a<a>b/22*b-3), you can save 3 bytes.
                                                  $endgroup$
                                                  – TFeld
                                                  Mar 27 at 11:17







                                                • 1




                                                  $begingroup$
                                                  +1 byte to make your second solution work for all inputs: lambda a,b:-(a<0)|cmp(2+max(19,a)%30-a/29,b)
                                                  $endgroup$
                                                  – TFeld
                                                  Mar 27 at 12:51
















                                                6












                                                $begingroup$


                                                Python 2, 47 bytes





                                                lambda a,b:[61>60-a>b<3+max(19,a)for b in-~b,b]


                                                Try it online!



                                                Outputs a list of two Booleans. Thanks to TFeld for writing a test suite in their answer that made it easy to check my solution.



                                                ended: [False, True]
                                                going: [True, True]
                                                invalid: [False, False]


                                                The key insight is that a valid score ends the game exactly if increasing the higher value b makes the score invalid. So, we just code up the validity condition, and check it for (a,b+1) in addition to (a,b) to see if the game has ended.



                                                Validity is checked via three conditions that are chained together:




                                                • b<3+max(19,a): Checks that the higher score b isn't past winning, with either b<=21 or b<=a+2 (win by two)


                                                • 60-a>b: Equivalent to a+b<=59, ensuring the score isn't above (29,30)


                                                • 61>60-a: Equivalent to a>=0, ensures the lower score is non-negative



                                                Python 2, 44 bytes





                                                lambda a,b:[b-61<~a<a>b/22*b-3for b in-~b,b]


                                                Try it online!



                                                An improved validity check by TFeld saves 3 bytes. The main idea is to branch on "overtime" b>21 with b/22*b which effectively sets below-21 scores to zero, whereas I'd branched on a>19 with the longer max(19,a).





                                                Python 2, 43 bytes





                                                lambda a,b:a>>99|cmp(2+max(19,a)%30-a/29,b)


                                                Try it online!



                                                Outputs:



                                                ended: 0
                                                going: -1
                                                invalid: 1


                                                Assumes that the inputs are not below $-2^99$.






                                                share|improve this answer











                                                $endgroup$








                                                • 1




                                                  $begingroup$
                                                  Using my newest validity-check (b-61<~a<a>b/22*b-3), you can save 3 bytes.
                                                  $endgroup$
                                                  – TFeld
                                                  Mar 27 at 11:17







                                                • 1




                                                  $begingroup$
                                                  +1 byte to make your second solution work for all inputs: lambda a,b:-(a<0)|cmp(2+max(19,a)%30-a/29,b)
                                                  $endgroup$
                                                  – TFeld
                                                  Mar 27 at 12:51














                                                6












                                                6








                                                6





                                                $begingroup$


                                                Python 2, 47 bytes





                                                lambda a,b:[61>60-a>b<3+max(19,a)for b in-~b,b]


                                                Try it online!



                                                Outputs a list of two Booleans. Thanks to TFeld for writing a test suite in their answer that made it easy to check my solution.



                                                ended: [False, True]
                                                going: [True, True]
                                                invalid: [False, False]


                                                The key insight is that a valid score ends the game exactly if increasing the higher value b makes the score invalid. So, we just code up the validity condition, and check it for (a,b+1) in addition to (a,b) to see if the game has ended.



                                                Validity is checked via three conditions that are chained together:




                                                • b<3+max(19,a): Checks that the higher score b isn't past winning, with either b<=21 or b<=a+2 (win by two)


                                                • 60-a>b: Equivalent to a+b<=59, ensuring the score isn't above (29,30)


                                                • 61>60-a: Equivalent to a>=0, ensures the lower score is non-negative



                                                Python 2, 44 bytes





                                                lambda a,b:[b-61<~a<a>b/22*b-3for b in-~b,b]


                                                Try it online!



                                                An improved validity check by TFeld saves 3 bytes. The main idea is to branch on "overtime" b>21 with b/22*b which effectively sets below-21 scores to zero, whereas I'd branched on a>19 with the longer max(19,a).





                                                Python 2, 43 bytes





                                                lambda a,b:a>>99|cmp(2+max(19,a)%30-a/29,b)


                                                Try it online!



                                                Outputs:



                                                ended: 0
                                                going: -1
                                                invalid: 1


                                                Assumes that the inputs are not below $-2^99$.






                                                share|improve this answer











                                                $endgroup$




                                                Python 2, 47 bytes





                                                lambda a,b:[61>60-a>b<3+max(19,a)for b in-~b,b]


                                                Try it online!



                                                Outputs a list of two Booleans. Thanks to TFeld for writing a test suite in their answer that made it easy to check my solution.



                                                ended: [False, True]
                                                going: [True, True]
                                                invalid: [False, False]


                                                The key insight is that a valid score ends the game exactly if increasing the higher value b makes the score invalid. So, we just code up the validity condition, and check it for (a,b+1) in addition to (a,b) to see if the game has ended.



                                                Validity is checked via three conditions that are chained together:




                                                • b<3+max(19,a): Checks that the higher score b isn't past winning, with either b<=21 or b<=a+2 (win by two)


                                                • 60-a>b: Equivalent to a+b<=59, ensuring the score isn't above (29,30)


                                                • 61>60-a: Equivalent to a>=0, ensures the lower score is non-negative



                                                Python 2, 44 bytes





                                                lambda a,b:[b-61<~a<a>b/22*b-3for b in-~b,b]


                                                Try it online!



                                                An improved validity check by TFeld saves 3 bytes. The main idea is to branch on "overtime" b>21 with b/22*b which effectively sets below-21 scores to zero, whereas I'd branched on a>19 with the longer max(19,a).





                                                Python 2, 43 bytes





                                                lambda a,b:a>>99|cmp(2+max(19,a)%30-a/29,b)


                                                Try it online!



                                                Outputs:



                                                ended: 0
                                                going: -1
                                                invalid: 1


                                                Assumes that the inputs are not below $-2^99$.







                                                share|improve this answer














                                                share|improve this answer



                                                share|improve this answer








                                                edited Mar 28 at 0:22

























                                                answered Mar 27 at 0:18









                                                xnorxnor

                                                94.7k18194454




                                                94.7k18194454







                                                • 1




                                                  $begingroup$
                                                  Using my newest validity-check (b-61<~a<a>b/22*b-3), you can save 3 bytes.
                                                  $endgroup$
                                                  – TFeld
                                                  Mar 27 at 11:17







                                                • 1




                                                  $begingroup$
                                                  +1 byte to make your second solution work for all inputs: lambda a,b:-(a<0)|cmp(2+max(19,a)%30-a/29,b)
                                                  $endgroup$
                                                  – TFeld
                                                  Mar 27 at 12:51













                                                • 1




                                                  $begingroup$
                                                  Using my newest validity-check (b-61<~a<a>b/22*b-3), you can save 3 bytes.
                                                  $endgroup$
                                                  – TFeld
                                                  Mar 27 at 11:17







                                                • 1




                                                  $begingroup$
                                                  +1 byte to make your second solution work for all inputs: lambda a,b:-(a<0)|cmp(2+max(19,a)%30-a/29,b)
                                                  $endgroup$
                                                  – TFeld
                                                  Mar 27 at 12:51








                                                1




                                                1




                                                $begingroup$
                                                Using my newest validity-check (b-61<~a<a>b/22*b-3), you can save 3 bytes.
                                                $endgroup$
                                                – TFeld
                                                Mar 27 at 11:17





                                                $begingroup$
                                                Using my newest validity-check (b-61<~a<a>b/22*b-3), you can save 3 bytes.
                                                $endgroup$
                                                – TFeld
                                                Mar 27 at 11:17





                                                1




                                                1




                                                $begingroup$
                                                +1 byte to make your second solution work for all inputs: lambda a,b:-(a<0)|cmp(2+max(19,a)%30-a/29,b)
                                                $endgroup$
                                                – TFeld
                                                Mar 27 at 12:51





                                                $begingroup$
                                                +1 byte to make your second solution work for all inputs: lambda a,b:-(a<0)|cmp(2+max(19,a)%30-a/29,b)
                                                $endgroup$
                                                – TFeld
                                                Mar 27 at 12:51












                                                4












                                                $begingroup$

                                                JavaScript (ES6),  55 53  48 bytes



                                                Thanks to @KevinCruijssen for noticing that I was not fully assuming $ale b$ (saving 5 bytes)



                                                Takes input as (a)(b) with $ale b$. Returns $0$ (valid), $1$ (ended) or $2$ (invalid).





                                                a=>b=>a<0|a>29|b>30|b>21&b-a>2?2:b>20&b-a>1|b>29


                                                Try it online!






                                                share|improve this answer











                                                $endgroup$

















                                                  4












                                                  $begingroup$

                                                  JavaScript (ES6),  55 53  48 bytes



                                                  Thanks to @KevinCruijssen for noticing that I was not fully assuming $ale b$ (saving 5 bytes)



                                                  Takes input as (a)(b) with $ale b$. Returns $0$ (valid), $1$ (ended) or $2$ (invalid).





                                                  a=>b=>a<0|a>29|b>30|b>21&b-a>2?2:b>20&b-a>1|b>29


                                                  Try it online!






                                                  share|improve this answer











                                                  $endgroup$















                                                    4












                                                    4








                                                    4





                                                    $begingroup$

                                                    JavaScript (ES6),  55 53  48 bytes



                                                    Thanks to @KevinCruijssen for noticing that I was not fully assuming $ale b$ (saving 5 bytes)



                                                    Takes input as (a)(b) with $ale b$. Returns $0$ (valid), $1$ (ended) or $2$ (invalid).





                                                    a=>b=>a<0|a>29|b>30|b>21&b-a>2?2:b>20&b-a>1|b>29


                                                    Try it online!






                                                    share|improve this answer











                                                    $endgroup$



                                                    JavaScript (ES6),  55 53  48 bytes



                                                    Thanks to @KevinCruijssen for noticing that I was not fully assuming $ale b$ (saving 5 bytes)



                                                    Takes input as (a)(b) with $ale b$. Returns $0$ (valid), $1$ (ended) or $2$ (invalid).





                                                    a=>b=>a<0|a>29|b>30|b>21&b-a>2?2:b>20&b-a>1|b>29


                                                    Try it online!







                                                    share|improve this answer














                                                    share|improve this answer



                                                    share|improve this answer








                                                    edited Mar 26 at 16:28

























                                                    answered Mar 26 at 16:10









                                                    ArnauldArnauld

                                                    82.2k798339




                                                    82.2k798339





















                                                        4












                                                        $begingroup$


                                                        C# (Visual C# Interactive Compiler), 53 52 bytes





                                                        a=>b=>b<0|a-b>2&a>21|b>29|a>30?3:a>20&a-b>1|a>29?1:2


                                                        Called as f(max)(min). Returns 3 for invalid, 1 for finished, 2 for ongoing.



                                                        Saved 1 byte thanks to Kevin Cruijjsen



                                                        Try it online!






                                                        share|improve this answer











                                                        $endgroup$

















                                                          4












                                                          $begingroup$


                                                          C# (Visual C# Interactive Compiler), 53 52 bytes





                                                          a=>b=>b<0|a-b>2&a>21|b>29|a>30?3:a>20&a-b>1|a>29?1:2


                                                          Called as f(max)(min). Returns 3 for invalid, 1 for finished, 2 for ongoing.



                                                          Saved 1 byte thanks to Kevin Cruijjsen



                                                          Try it online!






                                                          share|improve this answer











                                                          $endgroup$















                                                            4












                                                            4








                                                            4





                                                            $begingroup$


                                                            C# (Visual C# Interactive Compiler), 53 52 bytes





                                                            a=>b=>b<0|a-b>2&a>21|b>29|a>30?3:a>20&a-b>1|a>29?1:2


                                                            Called as f(max)(min). Returns 3 for invalid, 1 for finished, 2 for ongoing.



                                                            Saved 1 byte thanks to Kevin Cruijjsen



                                                            Try it online!






                                                            share|improve this answer











                                                            $endgroup$




                                                            C# (Visual C# Interactive Compiler), 53 52 bytes





                                                            a=>b=>b<0|a-b>2&a>21|b>29|a>30?3:a>20&a-b>1|a>29?1:2


                                                            Called as f(max)(min). Returns 3 for invalid, 1 for finished, 2 for ongoing.



                                                            Saved 1 byte thanks to Kevin Cruijjsen



                                                            Try it online!







                                                            share|improve this answer














                                                            share|improve this answer



                                                            share|improve this answer








                                                            edited Mar 26 at 18:20

























                                                            answered Mar 26 at 17:32









                                                            Embodiment of IgnoranceEmbodiment of Ignorance

                                                            3,194127




                                                            3,194127





















                                                                4












                                                                $begingroup$


                                                                Jelly, 25 bytes



                                                                »19«28‘<‘×+2>ɗʋ⁹×,%Ƒ“œþ‘ɗ


                                                                Try it online!



                                                                Left argument: minimum. Right argument: maximum.

                                                                Invalid: 0. Ongoing: 1. Ended: 2.



                                                                Mathematically, this works as below (the left argument is $x$, the right is $y$):



                                                                $$[a]=casesacolon1\lnot acolon0\otimes(a,b)=(abmod30,bbmod31)\x,yinmathbb Z\X:=min(max(x+1,20),29)\p:=(x,y)\([X<y]+1)[X+2>y][p=otimes p]$$



                                                                Explanation:



                                                                »19«28‘<‘×+2>ɗʋ⁹×,%Ƒ“œþ‘ɗ Left argument: x, Right argument: y
                                                                »19«28‘ X := Bound x + 1 in [20, 29]:
                                                                »19 X := max(x, 19).
                                                                «28 X := min(X, 28).
                                                                ‘ X := X + 1.
                                                                <‘×+2>ɗʋ⁹ X := If X + 2 <= y, then 0, else if X < y, then 2, else 1:
                                                                < t := If X < y, then 1, else 0.
                                                                ‘ t := t + 1.
                                                                +2>ɗ u := Check if X + 2 > y:
                                                                +2 u := X + 2.
                                                                > u := If u > y, then 1, else 0.
                                                                × X := t * u.
                                                                ,%Ƒ“œþ‘ɗ z := If x mod 30 = x and y mod 31 = y, then 1, else 0:
                                                                , z := (x, y).
                                                                % “œþ‘ m := z mod (30, 31) = (x mod 30, y mod 31).
                                                                Ƒ z := If z = m, then 1, else 0.
                                                                × X * z.





                                                                share|improve this answer











                                                                $endgroup$

















                                                                  4












                                                                  $begingroup$


                                                                  Jelly, 25 bytes



                                                                  »19«28‘<‘×+2>ɗʋ⁹×,%Ƒ“œþ‘ɗ


                                                                  Try it online!



                                                                  Left argument: minimum. Right argument: maximum.

                                                                  Invalid: 0. Ongoing: 1. Ended: 2.



                                                                  Mathematically, this works as below (the left argument is $x$, the right is $y$):



                                                                  $$[a]=casesacolon1\lnot acolon0\otimes(a,b)=(abmod30,bbmod31)\x,yinmathbb Z\X:=min(max(x+1,20),29)\p:=(x,y)\([X<y]+1)[X+2>y][p=otimes p]$$



                                                                  Explanation:



                                                                  »19«28‘<‘×+2>ɗʋ⁹×,%Ƒ“œþ‘ɗ Left argument: x, Right argument: y
                                                                  »19«28‘ X := Bound x + 1 in [20, 29]:
                                                                  »19 X := max(x, 19).
                                                                  «28 X := min(X, 28).
                                                                  ‘ X := X + 1.
                                                                  <‘×+2>ɗʋ⁹ X := If X + 2 <= y, then 0, else if X < y, then 2, else 1:
                                                                  < t := If X < y, then 1, else 0.
                                                                  ‘ t := t + 1.
                                                                  +2>ɗ u := Check if X + 2 > y:
                                                                  +2 u := X + 2.
                                                                  > u := If u > y, then 1, else 0.
                                                                  × X := t * u.
                                                                  ,%Ƒ“œþ‘ɗ z := If x mod 30 = x and y mod 31 = y, then 1, else 0:
                                                                  , z := (x, y).
                                                                  % “œþ‘ m := z mod (30, 31) = (x mod 30, y mod 31).
                                                                  Ƒ z := If z = m, then 1, else 0.
                                                                  × X * z.





                                                                  share|improve this answer











                                                                  $endgroup$















                                                                    4












                                                                    4








                                                                    4





                                                                    $begingroup$


                                                                    Jelly, 25 bytes



                                                                    »19«28‘<‘×+2>ɗʋ⁹×,%Ƒ“œþ‘ɗ


                                                                    Try it online!



                                                                    Left argument: minimum. Right argument: maximum.

                                                                    Invalid: 0. Ongoing: 1. Ended: 2.



                                                                    Mathematically, this works as below (the left argument is $x$, the right is $y$):



                                                                    $$[a]=casesacolon1\lnot acolon0\otimes(a,b)=(abmod30,bbmod31)\x,yinmathbb Z\X:=min(max(x+1,20),29)\p:=(x,y)\([X<y]+1)[X+2>y][p=otimes p]$$



                                                                    Explanation:



                                                                    »19«28‘<‘×+2>ɗʋ⁹×,%Ƒ“œþ‘ɗ Left argument: x, Right argument: y
                                                                    »19«28‘ X := Bound x + 1 in [20, 29]:
                                                                    »19 X := max(x, 19).
                                                                    «28 X := min(X, 28).
                                                                    ‘ X := X + 1.
                                                                    <‘×+2>ɗʋ⁹ X := If X + 2 <= y, then 0, else if X < y, then 2, else 1:
                                                                    < t := If X < y, then 1, else 0.
                                                                    ‘ t := t + 1.
                                                                    +2>ɗ u := Check if X + 2 > y:
                                                                    +2 u := X + 2.
                                                                    > u := If u > y, then 1, else 0.
                                                                    × X := t * u.
                                                                    ,%Ƒ“œþ‘ɗ z := If x mod 30 = x and y mod 31 = y, then 1, else 0:
                                                                    , z := (x, y).
                                                                    % “œþ‘ m := z mod (30, 31) = (x mod 30, y mod 31).
                                                                    Ƒ z := If z = m, then 1, else 0.
                                                                    × X * z.





                                                                    share|improve this answer











                                                                    $endgroup$




                                                                    Jelly, 25 bytes



                                                                    »19«28‘<‘×+2>ɗʋ⁹×,%Ƒ“œþ‘ɗ


                                                                    Try it online!



                                                                    Left argument: minimum. Right argument: maximum.

                                                                    Invalid: 0. Ongoing: 1. Ended: 2.



                                                                    Mathematically, this works as below (the left argument is $x$, the right is $y$):



                                                                    $$[a]=casesacolon1\lnot acolon0\otimes(a,b)=(abmod30,bbmod31)\x,yinmathbb Z\X:=min(max(x+1,20),29)\p:=(x,y)\([X<y]+1)[X+2>y][p=otimes p]$$



                                                                    Explanation:



                                                                    »19«28‘<‘×+2>ɗʋ⁹×,%Ƒ“œþ‘ɗ Left argument: x, Right argument: y
                                                                    »19«28‘ X := Bound x + 1 in [20, 29]:
                                                                    »19 X := max(x, 19).
                                                                    «28 X := min(X, 28).
                                                                    ‘ X := X + 1.
                                                                    <‘×+2>ɗʋ⁹ X := If X + 2 <= y, then 0, else if X < y, then 2, else 1:
                                                                    < t := If X < y, then 1, else 0.
                                                                    ‘ t := t + 1.
                                                                    +2>ɗ u := Check if X + 2 > y:
                                                                    +2 u := X + 2.
                                                                    > u := If u > y, then 1, else 0.
                                                                    × X := t * u.
                                                                    ,%Ƒ“œþ‘ɗ z := If x mod 30 = x and y mod 31 = y, then 1, else 0:
                                                                    , z := (x, y).
                                                                    % “œþ‘ m := z mod (30, 31) = (x mod 30, y mod 31).
                                                                    Ƒ z := If z = m, then 1, else 0.
                                                                    × X * z.






                                                                    share|improve this answer














                                                                    share|improve this answer



                                                                    share|improve this answer








                                                                    edited Mar 27 at 13:43

























                                                                    answered Mar 26 at 17:15









                                                                    Erik the OutgolferErik the Outgolfer

                                                                    33.3k429106




                                                                    33.3k429106





















                                                                        3












                                                                        $begingroup$


                                                                        VDM-SL, 80 bytes





                                                                        f(i,j)==if(j-i>2and j>21)or(i<0or i=30or j>30)thenelse(j>20and j-i>1or j=30) 


                                                                        This function takes the scores ordered in ascending order and returns the empty set if the score is invalid or the set containing whether the set is complete (so true if the set is complete and valid and false if the set is incomplete and valid)



                                                                        A full program to run might look like this:



                                                                        functions
                                                                        f:int*int+>set of bool
                                                                        f(i,j)==if(j-i>2and j>21)or(i<0or i=30or j>30)thenelse(j>20and j-i>1or j=30)


                                                                        Explanation:



                                                                        if(j-i>2 and j>21) /*if scores are too far apart*/
                                                                        or(i<0 or i=30 or j>30) /*or scores not in a valid range*/
                                                                        then /*return the empty set*/
                                                                        else /*else return the set containing...*/
                                                                        (j>20 and j-i>1 or j=30) /*if the set is complete*/





                                                                        share|improve this answer









                                                                        $endgroup$

















                                                                          3












                                                                          $begingroup$


                                                                          VDM-SL, 80 bytes





                                                                          f(i,j)==if(j-i>2and j>21)or(i<0or i=30or j>30)thenelse(j>20and j-i>1or j=30) 


                                                                          This function takes the scores ordered in ascending order and returns the empty set if the score is invalid or the set containing whether the set is complete (so true if the set is complete and valid and false if the set is incomplete and valid)



                                                                          A full program to run might look like this:



                                                                          functions
                                                                          f:int*int+>set of bool
                                                                          f(i,j)==if(j-i>2and j>21)or(i<0or i=30or j>30)thenelse(j>20and j-i>1or j=30)


                                                                          Explanation:



                                                                          if(j-i>2 and j>21) /*if scores are too far apart*/
                                                                          or(i<0 or i=30 or j>30) /*or scores not in a valid range*/
                                                                          then /*return the empty set*/
                                                                          else /*else return the set containing...*/
                                                                          (j>20 and j-i>1 or j=30) /*if the set is complete*/





                                                                          share|improve this answer









                                                                          $endgroup$















                                                                            3












                                                                            3








                                                                            3





                                                                            $begingroup$


                                                                            VDM-SL, 80 bytes





                                                                            f(i,j)==if(j-i>2and j>21)or(i<0or i=30or j>30)thenelse(j>20and j-i>1or j=30) 


                                                                            This function takes the scores ordered in ascending order and returns the empty set if the score is invalid or the set containing whether the set is complete (so true if the set is complete and valid and false if the set is incomplete and valid)



                                                                            A full program to run might look like this:



                                                                            functions
                                                                            f:int*int+>set of bool
                                                                            f(i,j)==if(j-i>2and j>21)or(i<0or i=30or j>30)thenelse(j>20and j-i>1or j=30)


                                                                            Explanation:



                                                                            if(j-i>2 and j>21) /*if scores are too far apart*/
                                                                            or(i<0 or i=30 or j>30) /*or scores not in a valid range*/
                                                                            then /*return the empty set*/
                                                                            else /*else return the set containing...*/
                                                                            (j>20 and j-i>1 or j=30) /*if the set is complete*/





                                                                            share|improve this answer









                                                                            $endgroup$




                                                                            VDM-SL, 80 bytes





                                                                            f(i,j)==if(j-i>2and j>21)or(i<0or i=30or j>30)thenelse(j>20and j-i>1or j=30) 


                                                                            This function takes the scores ordered in ascending order and returns the empty set if the score is invalid or the set containing whether the set is complete (so true if the set is complete and valid and false if the set is incomplete and valid)



                                                                            A full program to run might look like this:



                                                                            functions
                                                                            f:int*int+>set of bool
                                                                            f(i,j)==if(j-i>2and j>21)or(i<0or i=30or j>30)thenelse(j>20and j-i>1or j=30)


                                                                            Explanation:



                                                                            if(j-i>2 and j>21) /*if scores are too far apart*/
                                                                            or(i<0 or i=30 or j>30) /*or scores not in a valid range*/
                                                                            then /*return the empty set*/
                                                                            else /*else return the set containing...*/
                                                                            (j>20 and j-i>1 or j=30) /*if the set is complete*/






                                                                            share|improve this answer












                                                                            share|improve this answer



                                                                            share|improve this answer










                                                                            answered Mar 26 at 17:22









                                                                            Expired DataExpired Data

                                                                            1,058217




                                                                            1,058217





















                                                                                3












                                                                                $begingroup$


                                                                                Java (JDK), 59 48 bytes





                                                                                a->b->b<0|b>29|a>b+2&a>21|a>30?0:a<21|a<30&a<b+2


                                                                                Try it online!



                                                                                Returns an Object, which is the Integer 0 for invalid games and the Booleans true and false for valid ongoing games and for valid finished games respectively. Takes the score ordered (and curried), with the higher score first.



                                                                                -2 bytes by inverting the end-of-match check.
                                                                                -11 bytes by currying, using bitwise operators, and some return type autoboxing trickery - thanks to @KevinCruijssen



                                                                                Ungolfed



                                                                                a-> // Curried: Target type IntFunction<IntFunction<Object>>
                                                                                b-> // Target type IntFunction<Object>
                                                                                // Invalid if:
                                                                                b<0 // Any score is negative
                                                                                | b > 29 // Both scores above 29
                                                                                | a > b + 2 // Lead too big
                                                                                & a > 21 // and leader has at least 21 points
                                                                                | a > 30 // Anyone has 31 points
                                                                                ? 0 // If invalid, return 0 (autoboxed to Integer)
                                                                                // If valid, return whether the game is ongoing (autoboxed to Boolean)
                                                                                // Ongoing if:
                                                                                : a < 21 // Nobody has 21 points
                                                                                | a < 30 // Leader has fewer than 30 points
                                                                                & a < b + 2 // and lead is small





                                                                                share|improve this answer











                                                                                $endgroup$

















                                                                                  3












                                                                                  $begingroup$


                                                                                  Java (JDK), 59 48 bytes





                                                                                  a->b->b<0|b>29|a>b+2&a>21|a>30?0:a<21|a<30&a<b+2


                                                                                  Try it online!



                                                                                  Returns an Object, which is the Integer 0 for invalid games and the Booleans true and false for valid ongoing games and for valid finished games respectively. Takes the score ordered (and curried), with the higher score first.



                                                                                  -2 bytes by inverting the end-of-match check.
                                                                                  -11 bytes by currying, using bitwise operators, and some return type autoboxing trickery - thanks to @KevinCruijssen



                                                                                  Ungolfed



                                                                                  a-> // Curried: Target type IntFunction<IntFunction<Object>>
                                                                                  b-> // Target type IntFunction<Object>
                                                                                  // Invalid if:
                                                                                  b<0 // Any score is negative
                                                                                  | b > 29 // Both scores above 29
                                                                                  | a > b + 2 // Lead too big
                                                                                  & a > 21 // and leader has at least 21 points
                                                                                  | a > 30 // Anyone has 31 points
                                                                                  ? 0 // If invalid, return 0 (autoboxed to Integer)
                                                                                  // If valid, return whether the game is ongoing (autoboxed to Boolean)
                                                                                  // Ongoing if:
                                                                                  : a < 21 // Nobody has 21 points
                                                                                  | a < 30 // Leader has fewer than 30 points
                                                                                  & a < b + 2 // and lead is small





                                                                                  share|improve this answer











                                                                                  $endgroup$















                                                                                    3












                                                                                    3








                                                                                    3





                                                                                    $begingroup$


                                                                                    Java (JDK), 59 48 bytes





                                                                                    a->b->b<0|b>29|a>b+2&a>21|a>30?0:a<21|a<30&a<b+2


                                                                                    Try it online!



                                                                                    Returns an Object, which is the Integer 0 for invalid games and the Booleans true and false for valid ongoing games and for valid finished games respectively. Takes the score ordered (and curried), with the higher score first.



                                                                                    -2 bytes by inverting the end-of-match check.
                                                                                    -11 bytes by currying, using bitwise operators, and some return type autoboxing trickery - thanks to @KevinCruijssen



                                                                                    Ungolfed



                                                                                    a-> // Curried: Target type IntFunction<IntFunction<Object>>
                                                                                    b-> // Target type IntFunction<Object>
                                                                                    // Invalid if:
                                                                                    b<0 // Any score is negative
                                                                                    | b > 29 // Both scores above 29
                                                                                    | a > b + 2 // Lead too big
                                                                                    & a > 21 // and leader has at least 21 points
                                                                                    | a > 30 // Anyone has 31 points
                                                                                    ? 0 // If invalid, return 0 (autoboxed to Integer)
                                                                                    // If valid, return whether the game is ongoing (autoboxed to Boolean)
                                                                                    // Ongoing if:
                                                                                    : a < 21 // Nobody has 21 points
                                                                                    | a < 30 // Leader has fewer than 30 points
                                                                                    & a < b + 2 // and lead is small





                                                                                    share|improve this answer











                                                                                    $endgroup$




                                                                                    Java (JDK), 59 48 bytes





                                                                                    a->b->b<0|b>29|a>b+2&a>21|a>30?0:a<21|a<30&a<b+2


                                                                                    Try it online!



                                                                                    Returns an Object, which is the Integer 0 for invalid games and the Booleans true and false for valid ongoing games and for valid finished games respectively. Takes the score ordered (and curried), with the higher score first.



                                                                                    -2 bytes by inverting the end-of-match check.
                                                                                    -11 bytes by currying, using bitwise operators, and some return type autoboxing trickery - thanks to @KevinCruijssen



                                                                                    Ungolfed



                                                                                    a-> // Curried: Target type IntFunction<IntFunction<Object>>
                                                                                    b-> // Target type IntFunction<Object>
                                                                                    // Invalid if:
                                                                                    b<0 // Any score is negative
                                                                                    | b > 29 // Both scores above 29
                                                                                    | a > b + 2 // Lead too big
                                                                                    & a > 21 // and leader has at least 21 points
                                                                                    | a > 30 // Anyone has 31 points
                                                                                    ? 0 // If invalid, return 0 (autoboxed to Integer)
                                                                                    // If valid, return whether the game is ongoing (autoboxed to Boolean)
                                                                                    // Ongoing if:
                                                                                    : a < 21 // Nobody has 21 points
                                                                                    | a < 30 // Leader has fewer than 30 points
                                                                                    & a < b + 2 // and lead is small






                                                                                    share|improve this answer














                                                                                    share|improve this answer



                                                                                    share|improve this answer








                                                                                    edited Mar 26 at 21:57

























                                                                                    answered Mar 26 at 20:08









                                                                                    Sara JSara J

                                                                                    690210




                                                                                    690210





















                                                                                        3












                                                                                        $begingroup$


                                                                                        APL (Dyalog Unicode), 35 bytesSBCS





                                                                                        Infix tacit function where ended is 2, ongoing is 1, invalid is 0, smaller and larger scores are left.



                                                                                        (,≡30 31|,)×(⊢<2+X)×1+⊢>X←29⌊20⌈1+⊣


                                                                                        Try it online!



                                                                                        Implements Erik the Outgolfer's mathematical formulas combined into



                                                                                        $$X:=min(max(x+1,20),29)\ ([X< y]+1)[X+2>y][(x,y)=(xbmod30,ybmod31)]$$
                                                                                        rearranged (as if traditional mathematical notation had vectorisation and inline assignments) to



                                                                                        $$[(x,y)=(x,y)bmod(30,31)]×[y<2+X]×(1+[y< (X:=min(29,max(20,1+x)))])$$



                                                                                        and translated directly to APL (which is strictly right-associative, so we avoid some parentheses):



                                                                                        $$((x,y)≡30 31​|​x,y)×(y<2+X)×1+y>X←29​⌊​20​⌈​1 +x$$



                                                                                        This can be converted into a tacit function simply by substituting $⊣$ for $x$ and $⊢$ for $y$, symbolising the left and right arguments rather than the two variables:



                                                                                        $$((⊣​,⊢)≡30 31​|⊣​,⊢)×(⊣​<2+X)×1​+⊢​>X←29​⌊​20​⌈​1​+⊣$$



                                                                                        Now $⊣⎕⊢$ is equivalent to $⎕$ for any infix function $⎕$, so we can simplify to



                                                                                        $$(,​≡30 31​|​,)×(⊣​<2+X)×1​+⊢​>X←29​⌊​20​⌈​1​+⊣$$



                                                                                        which is our solution; (,≡30 31|,)×(⊢<2+X)×1+⊢>X←29⌊20⌈1+⊣:



                                                                                         the left argument; $x$
                                                                                        1+ one plus that; $1+x$
                                                                                        20⌈ maximum of 20 and that; $max(20,…)$
                                                                                        29⌊ minimum of 29 and that; $min(29,…)$
                                                                                        X← assign that to X; $X:=…$
                                                                                        ⊢> is the right argument greater (0/1)?; $[y>…]$
                                                                                        1+ add one; $1+…$
                                                                                        ( multiply the following by that; $(…)×…$

                                                                                        2+X two plus X; $2+X$

                                                                                        ⊢< is the right argument less than that (0/1); $[y<…]$
                                                                                        ( multiply the following by that; $(…)×…$

                                                                                        , concatenate the arguments; $(x,y)$

                                                                                        30 31| remainders when divided by these numbers; $…mod(30,31)$

                                                                                        ,≡ are the concatenated arguments identical to that (0/1)?; $[(x,y)=…]$






                                                                                        share|improve this answer











                                                                                        $endgroup$

















                                                                                          3












                                                                                          $begingroup$


                                                                                          APL (Dyalog Unicode), 35 bytesSBCS





                                                                                          Infix tacit function where ended is 2, ongoing is 1, invalid is 0, smaller and larger scores are left.



                                                                                          (,≡30 31|,)×(⊢<2+X)×1+⊢>X←29⌊20⌈1+⊣


                                                                                          Try it online!



                                                                                          Implements Erik the Outgolfer's mathematical formulas combined into



                                                                                          $$X:=min(max(x+1,20),29)\ ([X< y]+1)[X+2>y][(x,y)=(xbmod30,ybmod31)]$$
                                                                                          rearranged (as if traditional mathematical notation had vectorisation and inline assignments) to



                                                                                          $$[(x,y)=(x,y)bmod(30,31)]×[y<2+X]×(1+[y< (X:=min(29,max(20,1+x)))])$$



                                                                                          and translated directly to APL (which is strictly right-associative, so we avoid some parentheses):



                                                                                          $$((x,y)≡30 31​|​x,y)×(y<2+X)×1+y>X←29​⌊​20​⌈​1 +x$$



                                                                                          This can be converted into a tacit function simply by substituting $⊣$ for $x$ and $⊢$ for $y$, symbolising the left and right arguments rather than the two variables:



                                                                                          $$((⊣​,⊢)≡30 31​|⊣​,⊢)×(⊣​<2+X)×1​+⊢​>X←29​⌊​20​⌈​1​+⊣$$



                                                                                          Now $⊣⎕⊢$ is equivalent to $⎕$ for any infix function $⎕$, so we can simplify to



                                                                                          $$(,​≡30 31​|​,)×(⊣​<2+X)×1​+⊢​>X←29​⌊​20​⌈​1​+⊣$$



                                                                                          which is our solution; (,≡30 31|,)×(⊢<2+X)×1+⊢>X←29⌊20⌈1+⊣:



                                                                                           the left argument; $x$
                                                                                          1+ one plus that; $1+x$
                                                                                          20⌈ maximum of 20 and that; $max(20,…)$
                                                                                          29⌊ minimum of 29 and that; $min(29,…)$
                                                                                          X← assign that to X; $X:=…$
                                                                                          ⊢> is the right argument greater (0/1)?; $[y>…]$
                                                                                          1+ add one; $1+…$
                                                                                          ( multiply the following by that; $(…)×…$

                                                                                          2+X two plus X; $2+X$

                                                                                          ⊢< is the right argument less than that (0/1); $[y<…]$
                                                                                          ( multiply the following by that; $(…)×…$

                                                                                          , concatenate the arguments; $(x,y)$

                                                                                          30 31| remainders when divided by these numbers; $…mod(30,31)$

                                                                                          ,≡ are the concatenated arguments identical to that (0/1)?; $[(x,y)=…]$






                                                                                          share|improve this answer











                                                                                          $endgroup$















                                                                                            3












                                                                                            3








                                                                                            3





                                                                                            $begingroup$


                                                                                            APL (Dyalog Unicode), 35 bytesSBCS





                                                                                            Infix tacit function where ended is 2, ongoing is 1, invalid is 0, smaller and larger scores are left.



                                                                                            (,≡30 31|,)×(⊢<2+X)×1+⊢>X←29⌊20⌈1+⊣


                                                                                            Try it online!



                                                                                            Implements Erik the Outgolfer's mathematical formulas combined into



                                                                                            $$X:=min(max(x+1,20),29)\ ([X< y]+1)[X+2>y][(x,y)=(xbmod30,ybmod31)]$$
                                                                                            rearranged (as if traditional mathematical notation had vectorisation and inline assignments) to



                                                                                            $$[(x,y)=(x,y)bmod(30,31)]×[y<2+X]×(1+[y< (X:=min(29,max(20,1+x)))])$$



                                                                                            and translated directly to APL (which is strictly right-associative, so we avoid some parentheses):



                                                                                            $$((x,y)≡30 31​|​x,y)×(y<2+X)×1+y>X←29​⌊​20​⌈​1 +x$$



                                                                                            This can be converted into a tacit function simply by substituting $⊣$ for $x$ and $⊢$ for $y$, symbolising the left and right arguments rather than the two variables:



                                                                                            $$((⊣​,⊢)≡30 31​|⊣​,⊢)×(⊣​<2+X)×1​+⊢​>X←29​⌊​20​⌈​1​+⊣$$



                                                                                            Now $⊣⎕⊢$ is equivalent to $⎕$ for any infix function $⎕$, so we can simplify to



                                                                                            $$(,​≡30 31​|​,)×(⊣​<2+X)×1​+⊢​>X←29​⌊​20​⌈​1​+⊣$$



                                                                                            which is our solution; (,≡30 31|,)×(⊢<2+X)×1+⊢>X←29⌊20⌈1+⊣:



                                                                                             the left argument; $x$
                                                                                            1+ one plus that; $1+x$
                                                                                            20⌈ maximum of 20 and that; $max(20,…)$
                                                                                            29⌊ minimum of 29 and that; $min(29,…)$
                                                                                            X← assign that to X; $X:=…$
                                                                                            ⊢> is the right argument greater (0/1)?; $[y>…]$
                                                                                            1+ add one; $1+…$
                                                                                            ( multiply the following by that; $(…)×…$

                                                                                            2+X two plus X; $2+X$

                                                                                            ⊢< is the right argument less than that (0/1); $[y<…]$
                                                                                            ( multiply the following by that; $(…)×…$

                                                                                            , concatenate the arguments; $(x,y)$

                                                                                            30 31| remainders when divided by these numbers; $…mod(30,31)$

                                                                                            ,≡ are the concatenated arguments identical to that (0/1)?; $[(x,y)=…]$






                                                                                            share|improve this answer











                                                                                            $endgroup$




                                                                                            APL (Dyalog Unicode), 35 bytesSBCS





                                                                                            Infix tacit function where ended is 2, ongoing is 1, invalid is 0, smaller and larger scores are left.



                                                                                            (,≡30 31|,)×(⊢<2+X)×1+⊢>X←29⌊20⌈1+⊣


                                                                                            Try it online!



                                                                                            Implements Erik the Outgolfer's mathematical formulas combined into



                                                                                            $$X:=min(max(x+1,20),29)\ ([X< y]+1)[X+2>y][(x,y)=(xbmod30,ybmod31)]$$
                                                                                            rearranged (as if traditional mathematical notation had vectorisation and inline assignments) to



                                                                                            $$[(x,y)=(x,y)bmod(30,31)]×[y<2+X]×(1+[y< (X:=min(29,max(20,1+x)))])$$



                                                                                            and translated directly to APL (which is strictly right-associative, so we avoid some parentheses):



                                                                                            $$((x,y)≡30 31​|​x,y)×(y<2+X)×1+y>X←29​⌊​20​⌈​1 +x$$



                                                                                            This can be converted into a tacit function simply by substituting $⊣$ for $x$ and $⊢$ for $y$, symbolising the left and right arguments rather than the two variables:



                                                                                            $$((⊣​,⊢)≡30 31​|⊣​,⊢)×(⊣​<2+X)×1​+⊢​>X←29​⌊​20​⌈​1​+⊣$$



                                                                                            Now $⊣⎕⊢$ is equivalent to $⎕$ for any infix function $⎕$, so we can simplify to



                                                                                            $$(,​≡30 31​|​,)×(⊣​<2+X)×1​+⊢​>X←29​⌊​20​⌈​1​+⊣$$



                                                                                            which is our solution; (,≡30 31|,)×(⊢<2+X)×1+⊢>X←29⌊20⌈1+⊣:



                                                                                             the left argument; $x$
                                                                                            1+ one plus that; $1+x$
                                                                                            20⌈ maximum of 20 and that; $max(20,…)$
                                                                                            29⌊ minimum of 29 and that; $min(29,…)$
                                                                                            X← assign that to X; $X:=…$
                                                                                            ⊢> is the right argument greater (0/1)?; $[y>…]$
                                                                                            1+ add one; $1+…$
                                                                                            ( multiply the following by that; $(…)×…$

                                                                                            2+X two plus X; $2+X$

                                                                                            ⊢< is the right argument less than that (0/1); $[y<…]$
                                                                                            ( multiply the following by that; $(…)×…$

                                                                                            , concatenate the arguments; $(x,y)$

                                                                                            30 31| remainders when divided by these numbers; $…mod(30,31)$

                                                                                            ,≡ are the concatenated arguments identical to that (0/1)?; $[(x,y)=…]$







                                                                                            share|improve this answer














                                                                                            share|improve this answer



                                                                                            share|improve this answer








                                                                                            edited Mar 28 at 11:01

























                                                                                            answered Mar 28 at 10:52









                                                                                            AdámAdám

                                                                                            28.1k276207




                                                                                            28.1k276207





















                                                                                                3












                                                                                                $begingroup$

                                                                                                x86 Assembly, 42 Bytes



                                                                                                Takes input in ECX and EDX registers. Note that ECX must be greater than EDX.

                                                                                                Outputs into EAX, where 0 means the game's still on, 1 representing the game being over and -1 (aka FFFFFFFF) representing an invalid score.



                                                                                                31 C0 83 F9 1E 77 1F 83 FA 1D 77 1A 83 F9 15 7C 
                                                                                                18 83 F9 1E 74 12 89 CB 29 D3 83 FB 02 74 09 7C
                                                                                                08 83 F9 15 74 02 48 C3 40 C3


                                                                                                Or, more readable in Intel Syntax:



                                                                                                check:
                                                                                                XOR EAX, EAX
                                                                                                CMP ECX, 30 ; check i_1 against 30
                                                                                                JA .invalid ; if >, invalid.
                                                                                                CMP EDX, 29 ; check i_2 against 29
                                                                                                JA .invalid ; if >, invalid.
                                                                                                CMP ECX, 21 ; check i_1 against 21
                                                                                                JL .runi ; if <, running.
                                                                                                CMP ECX, 30 ; check i_1 against 30
                                                                                                JE .over ; if ==, over.
                                                                                                MOV EBX, ECX
                                                                                                SUB EBX, EDX ; EBX = i_1 - i_2
                                                                                                CMP EBX, 2 ; check EBX against 2
                                                                                                JE .over ; if ==, over.
                                                                                                JL .runi ; if <, running.
                                                                                                ; if >, keep executing!
                                                                                                CMP ECX, 21 ; check i_1 against 21
                                                                                                JE .over ; if ==, over.
                                                                                                ; otherwise, it's invalid.
                                                                                                ; fallthrough!
                                                                                                .invalid:
                                                                                                DEC EAX ; EAX = -1
                                                                                                RETN
                                                                                                .over:
                                                                                                INC EAX ; EAX = 1
                                                                                                ; fallthrough!
                                                                                                .runi:
                                                                                                RETN ; EAX = 0 or 1


                                                                                                Fun fact: this function almost follows the C Calling Convention's rules on which registers to preserve, except I had to clobber EBX to save some bytes on stack usage.



                                                                                                Optional (not included in byte-count)



                                                                                                By adding the following 6 bytes directly before start of the code above, you can pass ECX and EDX unordered:



                                                                                                39 D1 7D 02 87 CA


                                                                                                Which is the following in readable Intel Syntax:



                                                                                                CMP ECX, EDX
                                                                                                JGE check
                                                                                                XCHG ECX, EDX





                                                                                                share|improve this answer









                                                                                                $endgroup$

















                                                                                                  3












                                                                                                  $begingroup$

                                                                                                  x86 Assembly, 42 Bytes



                                                                                                  Takes input in ECX and EDX registers. Note that ECX must be greater than EDX.

                                                                                                  Outputs into EAX, where 0 means the game's still on, 1 representing the game being over and -1 (aka FFFFFFFF) representing an invalid score.



                                                                                                  31 C0 83 F9 1E 77 1F 83 FA 1D 77 1A 83 F9 15 7C 
                                                                                                  18 83 F9 1E 74 12 89 CB 29 D3 83 FB 02 74 09 7C
                                                                                                  08 83 F9 15 74 02 48 C3 40 C3


                                                                                                  Or, more readable in Intel Syntax:



                                                                                                  check:
                                                                                                  XOR EAX, EAX
                                                                                                  CMP ECX, 30 ; check i_1 against 30
                                                                                                  JA .invalid ; if >, invalid.
                                                                                                  CMP EDX, 29 ; check i_2 against 29
                                                                                                  JA .invalid ; if >, invalid.
                                                                                                  CMP ECX, 21 ; check i_1 against 21
                                                                                                  JL .runi ; if <, running.
                                                                                                  CMP ECX, 30 ; check i_1 against 30
                                                                                                  JE .over ; if ==, over.
                                                                                                  MOV EBX, ECX
                                                                                                  SUB EBX, EDX ; EBX = i_1 - i_2
                                                                                                  CMP EBX, 2 ; check EBX against 2
                                                                                                  JE .over ; if ==, over.
                                                                                                  JL .runi ; if <, running.
                                                                                                  ; if >, keep executing!
                                                                                                  CMP ECX, 21 ; check i_1 against 21
                                                                                                  JE .over ; if ==, over.
                                                                                                  ; otherwise, it's invalid.
                                                                                                  ; fallthrough!
                                                                                                  .invalid:
                                                                                                  DEC EAX ; EAX = -1
                                                                                                  RETN
                                                                                                  .over:
                                                                                                  INC EAX ; EAX = 1
                                                                                                  ; fallthrough!
                                                                                                  .runi:
                                                                                                  RETN ; EAX = 0 or 1


                                                                                                  Fun fact: this function almost follows the C Calling Convention's rules on which registers to preserve, except I had to clobber EBX to save some bytes on stack usage.



                                                                                                  Optional (not included in byte-count)



                                                                                                  By adding the following 6 bytes directly before start of the code above, you can pass ECX and EDX unordered:



                                                                                                  39 D1 7D 02 87 CA


                                                                                                  Which is the following in readable Intel Syntax:



                                                                                                  CMP ECX, EDX
                                                                                                  JGE check
                                                                                                  XCHG ECX, EDX





                                                                                                  share|improve this answer









                                                                                                  $endgroup$















                                                                                                    3












                                                                                                    3








                                                                                                    3





                                                                                                    $begingroup$

                                                                                                    x86 Assembly, 42 Bytes



                                                                                                    Takes input in ECX and EDX registers. Note that ECX must be greater than EDX.

                                                                                                    Outputs into EAX, where 0 means the game's still on, 1 representing the game being over and -1 (aka FFFFFFFF) representing an invalid score.



                                                                                                    31 C0 83 F9 1E 77 1F 83 FA 1D 77 1A 83 F9 15 7C 
                                                                                                    18 83 F9 1E 74 12 89 CB 29 D3 83 FB 02 74 09 7C
                                                                                                    08 83 F9 15 74 02 48 C3 40 C3


                                                                                                    Or, more readable in Intel Syntax:



                                                                                                    check:
                                                                                                    XOR EAX, EAX
                                                                                                    CMP ECX, 30 ; check i_1 against 30
                                                                                                    JA .invalid ; if >, invalid.
                                                                                                    CMP EDX, 29 ; check i_2 against 29
                                                                                                    JA .invalid ; if >, invalid.
                                                                                                    CMP ECX, 21 ; check i_1 against 21
                                                                                                    JL .runi ; if <, running.
                                                                                                    CMP ECX, 30 ; check i_1 against 30
                                                                                                    JE .over ; if ==, over.
                                                                                                    MOV EBX, ECX
                                                                                                    SUB EBX, EDX ; EBX = i_1 - i_2
                                                                                                    CMP EBX, 2 ; check EBX against 2
                                                                                                    JE .over ; if ==, over.
                                                                                                    JL .runi ; if <, running.
                                                                                                    ; if >, keep executing!
                                                                                                    CMP ECX, 21 ; check i_1 against 21
                                                                                                    JE .over ; if ==, over.
                                                                                                    ; otherwise, it's invalid.
                                                                                                    ; fallthrough!
                                                                                                    .invalid:
                                                                                                    DEC EAX ; EAX = -1
                                                                                                    RETN
                                                                                                    .over:
                                                                                                    INC EAX ; EAX = 1
                                                                                                    ; fallthrough!
                                                                                                    .runi:
                                                                                                    RETN ; EAX = 0 or 1


                                                                                                    Fun fact: this function almost follows the C Calling Convention's rules on which registers to preserve, except I had to clobber EBX to save some bytes on stack usage.



                                                                                                    Optional (not included in byte-count)



                                                                                                    By adding the following 6 bytes directly before start of the code above, you can pass ECX and EDX unordered:



                                                                                                    39 D1 7D 02 87 CA


                                                                                                    Which is the following in readable Intel Syntax:



                                                                                                    CMP ECX, EDX
                                                                                                    JGE check
                                                                                                    XCHG ECX, EDX





                                                                                                    share|improve this answer









                                                                                                    $endgroup$



                                                                                                    x86 Assembly, 42 Bytes



                                                                                                    Takes input in ECX and EDX registers. Note that ECX must be greater than EDX.

                                                                                                    Outputs into EAX, where 0 means the game's still on, 1 representing the game being over and -1 (aka FFFFFFFF) representing an invalid score.



                                                                                                    31 C0 83 F9 1E 77 1F 83 FA 1D 77 1A 83 F9 15 7C 
                                                                                                    18 83 F9 1E 74 12 89 CB 29 D3 83 FB 02 74 09 7C
                                                                                                    08 83 F9 15 74 02 48 C3 40 C3


                                                                                                    Or, more readable in Intel Syntax:



                                                                                                    check:
                                                                                                    XOR EAX, EAX
                                                                                                    CMP ECX, 30 ; check i_1 against 30
                                                                                                    JA .invalid ; if >, invalid.
                                                                                                    CMP EDX, 29 ; check i_2 against 29
                                                                                                    JA .invalid ; if >, invalid.
                                                                                                    CMP ECX, 21 ; check i_1 against 21
                                                                                                    JL .runi ; if <, running.
                                                                                                    CMP ECX, 30 ; check i_1 against 30
                                                                                                    JE .over ; if ==, over.
                                                                                                    MOV EBX, ECX
                                                                                                    SUB EBX, EDX ; EBX = i_1 - i_2
                                                                                                    CMP EBX, 2 ; check EBX against 2
                                                                                                    JE .over ; if ==, over.
                                                                                                    JL .runi ; if <, running.
                                                                                                    ; if >, keep executing!
                                                                                                    CMP ECX, 21 ; check i_1 against 21
                                                                                                    JE .over ; if ==, over.
                                                                                                    ; otherwise, it's invalid.
                                                                                                    ; fallthrough!
                                                                                                    .invalid:
                                                                                                    DEC EAX ; EAX = -1
                                                                                                    RETN
                                                                                                    .over:
                                                                                                    INC EAX ; EAX = 1
                                                                                                    ; fallthrough!
                                                                                                    .runi:
                                                                                                    RETN ; EAX = 0 or 1


                                                                                                    Fun fact: this function almost follows the C Calling Convention's rules on which registers to preserve, except I had to clobber EBX to save some bytes on stack usage.



                                                                                                    Optional (not included in byte-count)



                                                                                                    By adding the following 6 bytes directly before start of the code above, you can pass ECX and EDX unordered:



                                                                                                    39 D1 7D 02 87 CA


                                                                                                    Which is the following in readable Intel Syntax:



                                                                                                    CMP ECX, EDX
                                                                                                    JGE check
                                                                                                    XCHG ECX, EDX






                                                                                                    share|improve this answer












                                                                                                    share|improve this answer



                                                                                                    share|improve this answer










                                                                                                    answered Mar 28 at 21:46









                                                                                                    Fayti1703Fayti1703

                                                                                                    613




                                                                                                    613





















                                                                                                        2












                                                                                                        $begingroup$


                                                                                                        Retina 0.8.2, 92 bytes



                                                                                                        d+
                                                                                                        $*
                                                                                                        ^(10,19,121|(120,28),112|129,130)$|^(1*,10,20|(10,28),1?4)$|.+
                                                                                                        $#1$#3


                                                                                                        Try it online! Link includes test cases. Takes input in ascending order. Explanation: The first stage simply converts from decimal to unary so that the scores can be properly compared. The second stage contains six alternate patterns, grouped into three groups so that three distinct values can be output, which are 10 for win, 01 for ongoing and 00 for illegal. The patterns are:



                                                                                                        • Against 0-19, a score of 21 is a win

                                                                                                        • Against 20-28, a score of +2 is a win

                                                                                                        • Against 29, a score of 30 is a win

                                                                                                        • Against any (lower) score, a score of 0-20 is ongoing

                                                                                                        • Against a score of up to 28, a score of +1 is ongoing

                                                                                                        • Anything else (including negative scores) is illegal





                                                                                                        share|improve this answer









                                                                                                        $endgroup$

















                                                                                                          2












                                                                                                          $begingroup$


                                                                                                          Retina 0.8.2, 92 bytes



                                                                                                          d+
                                                                                                          $*
                                                                                                          ^(10,19,121|(120,28),112|129,130)$|^(1*,10,20|(10,28),1?4)$|.+
                                                                                                          $#1$#3


                                                                                                          Try it online! Link includes test cases. Takes input in ascending order. Explanation: The first stage simply converts from decimal to unary so that the scores can be properly compared. The second stage contains six alternate patterns, grouped into three groups so that three distinct values can be output, which are 10 for win, 01 for ongoing and 00 for illegal. The patterns are:



                                                                                                          • Against 0-19, a score of 21 is a win

                                                                                                          • Against 20-28, a score of +2 is a win

                                                                                                          • Against 29, a score of 30 is a win

                                                                                                          • Against any (lower) score, a score of 0-20 is ongoing

                                                                                                          • Against a score of up to 28, a score of +1 is ongoing

                                                                                                          • Anything else (including negative scores) is illegal





                                                                                                          share|improve this answer









                                                                                                          $endgroup$















                                                                                                            2












                                                                                                            2








                                                                                                            2





                                                                                                            $begingroup$


                                                                                                            Retina 0.8.2, 92 bytes



                                                                                                            d+
                                                                                                            $*
                                                                                                            ^(10,19,121|(120,28),112|129,130)$|^(1*,10,20|(10,28),1?4)$|.+
                                                                                                            $#1$#3


                                                                                                            Try it online! Link includes test cases. Takes input in ascending order. Explanation: The first stage simply converts from decimal to unary so that the scores can be properly compared. The second stage contains six alternate patterns, grouped into three groups so that three distinct values can be output, which are 10 for win, 01 for ongoing and 00 for illegal. The patterns are:



                                                                                                            • Against 0-19, a score of 21 is a win

                                                                                                            • Against 20-28, a score of +2 is a win

                                                                                                            • Against 29, a score of 30 is a win

                                                                                                            • Against any (lower) score, a score of 0-20 is ongoing

                                                                                                            • Against a score of up to 28, a score of +1 is ongoing

                                                                                                            • Anything else (including negative scores) is illegal





                                                                                                            share|improve this answer









                                                                                                            $endgroup$




                                                                                                            Retina 0.8.2, 92 bytes



                                                                                                            d+
                                                                                                            $*
                                                                                                            ^(10,19,121|(120,28),112|129,130)$|^(1*,10,20|(10,28),1?4)$|.+
                                                                                                            $#1$#3


                                                                                                            Try it online! Link includes test cases. Takes input in ascending order. Explanation: The first stage simply converts from decimal to unary so that the scores can be properly compared. The second stage contains six alternate patterns, grouped into three groups so that three distinct values can be output, which are 10 for win, 01 for ongoing and 00 for illegal. The patterns are:



                                                                                                            • Against 0-19, a score of 21 is a win

                                                                                                            • Against 20-28, a score of +2 is a win

                                                                                                            • Against 29, a score of 30 is a win

                                                                                                            • Against any (lower) score, a score of 0-20 is ongoing

                                                                                                            • Against a score of up to 28, a score of +1 is ongoing

                                                                                                            • Anything else (including negative scores) is illegal






                                                                                                            share|improve this answer












                                                                                                            share|improve this answer



                                                                                                            share|improve this answer










                                                                                                            answered Mar 26 at 20:09









                                                                                                            NeilNeil

                                                                                                            83.3k745179




                                                                                                            83.3k745179





















                                                                                                                1












                                                                                                                $begingroup$


                                                                                                                APL (Dyalog Unicode), 33 32 bytesSBCS





                                                                                                                h⍵+1 0+h←(⊢≡31 30|⊢)×21 2∨.≥-


                                                                                                                Try it online!



                                                                                                                in: a pair in descending order



                                                                                                                out: 2=ongoing, 1=ended, 0=invalid



                                                                                                                tests stolen from Adám's answer






                                                                                                                share|improve this answer











                                                                                                                $endgroup$

















                                                                                                                  1












                                                                                                                  $begingroup$


                                                                                                                  APL (Dyalog Unicode), 33 32 bytesSBCS





                                                                                                                  h⍵+1 0+h←(⊢≡31 30|⊢)×21 2∨.≥-


                                                                                                                  Try it online!



                                                                                                                  in: a pair in descending order



                                                                                                                  out: 2=ongoing, 1=ended, 0=invalid



                                                                                                                  tests stolen from Adám's answer






                                                                                                                  share|improve this answer











                                                                                                                  $endgroup$















                                                                                                                    1












                                                                                                                    1








                                                                                                                    1





                                                                                                                    $begingroup$


                                                                                                                    APL (Dyalog Unicode), 33 32 bytesSBCS





                                                                                                                    h⍵+1 0+h←(⊢≡31 30|⊢)×21 2∨.≥-


                                                                                                                    Try it online!



                                                                                                                    in: a pair in descending order



                                                                                                                    out: 2=ongoing, 1=ended, 0=invalid



                                                                                                                    tests stolen from Adám's answer






                                                                                                                    share|improve this answer











                                                                                                                    $endgroup$




                                                                                                                    APL (Dyalog Unicode), 33 32 bytesSBCS





                                                                                                                    h⍵+1 0+h←(⊢≡31 30|⊢)×21 2∨.≥-


                                                                                                                    Try it online!



                                                                                                                    in: a pair in descending order



                                                                                                                    out: 2=ongoing, 1=ended, 0=invalid



                                                                                                                    tests stolen from Adám's answer







                                                                                                                    share|improve this answer














                                                                                                                    share|improve this answer



                                                                                                                    share|improve this answer








                                                                                                                    edited Apr 1 at 2:25

























                                                                                                                    answered Apr 1 at 2:09









                                                                                                                    ngnngn

                                                                                                                    7,47612660




                                                                                                                    7,47612660





















                                                                                                                        1












                                                                                                                        $begingroup$


                                                                                                                        Bash 4+, 97 89 91 88 bytes



                                                                                                                        Assume that inputs are ascending. Used concepts from VDM-SL answer. Try it Online

                                                                                                                        z==0 - game in progress
                                                                                                                        z==1 - game completed
                                                                                                                        z==2 - invalid



                                                                                                                        -8 by bracket cleanup from (( & | )) conditions
                                                                                                                        +2 fixing a bug, thanks to Kevin Cruijssen
                                                                                                                        -3 logic improvements by Kevin Cruijssen



                                                                                                                        i=$1 j=$2 z=0
                                                                                                                        ((j-i>2&j>21|i<0|i>29|j>30?z=2:0))
                                                                                                                        ((z<1&(j>20&j-i>1|j>29)?z=1:0))
                                                                                                                        echo $z





                                                                                                                        share|improve this answer











                                                                                                                        $endgroup$








                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          Your 89 bytes version seems to output 1 instead of 2 for 0 30. Your 97 bytes version was working correctly, so if you're unable to fix it, you can always rollback. Upvoted for that 97 version. :)
                                                                                                                          $endgroup$
                                                                                                                          – Kevin Cruijssen
                                                                                                                          Mar 28 at 13:59







                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          This should fix it, and golf a byte at the same time. :)
                                                                                                                          $endgroup$
                                                                                                                          – Kevin Cruijssen
                                                                                                                          Mar 28 at 14:05







                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          I fixed it, but yours was better! Hard to keep up :P
                                                                                                                          $endgroup$
                                                                                                                          – roblogic
                                                                                                                          Mar 28 at 14:14










                                                                                                                        • $begingroup$
                                                                                                                          Bug at 29 30 :( it should be "completed"
                                                                                                                          $endgroup$
                                                                                                                          – roblogic
                                                                                                                          Apr 3 at 8:39






                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          Ah oops.. the i>29 should be j>29 in the second ternary to fix it.
                                                                                                                          $endgroup$
                                                                                                                          – Kevin Cruijssen
                                                                                                                          Apr 3 at 8:42















                                                                                                                        1












                                                                                                                        $begingroup$


                                                                                                                        Bash 4+, 97 89 91 88 bytes



                                                                                                                        Assume that inputs are ascending. Used concepts from VDM-SL answer. Try it Online

                                                                                                                        z==0 - game in progress
                                                                                                                        z==1 - game completed
                                                                                                                        z==2 - invalid



                                                                                                                        -8 by bracket cleanup from (( & | )) conditions
                                                                                                                        +2 fixing a bug, thanks to Kevin Cruijssen
                                                                                                                        -3 logic improvements by Kevin Cruijssen



                                                                                                                        i=$1 j=$2 z=0
                                                                                                                        ((j-i>2&j>21|i<0|i>29|j>30?z=2:0))
                                                                                                                        ((z<1&(j>20&j-i>1|j>29)?z=1:0))
                                                                                                                        echo $z





                                                                                                                        share|improve this answer











                                                                                                                        $endgroup$








                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          Your 89 bytes version seems to output 1 instead of 2 for 0 30. Your 97 bytes version was working correctly, so if you're unable to fix it, you can always rollback. Upvoted for that 97 version. :)
                                                                                                                          $endgroup$
                                                                                                                          – Kevin Cruijssen
                                                                                                                          Mar 28 at 13:59







                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          This should fix it, and golf a byte at the same time. :)
                                                                                                                          $endgroup$
                                                                                                                          – Kevin Cruijssen
                                                                                                                          Mar 28 at 14:05







                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          I fixed it, but yours was better! Hard to keep up :P
                                                                                                                          $endgroup$
                                                                                                                          – roblogic
                                                                                                                          Mar 28 at 14:14










                                                                                                                        • $begingroup$
                                                                                                                          Bug at 29 30 :( it should be "completed"
                                                                                                                          $endgroup$
                                                                                                                          – roblogic
                                                                                                                          Apr 3 at 8:39






                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          Ah oops.. the i>29 should be j>29 in the second ternary to fix it.
                                                                                                                          $endgroup$
                                                                                                                          – Kevin Cruijssen
                                                                                                                          Apr 3 at 8:42













                                                                                                                        1












                                                                                                                        1








                                                                                                                        1





                                                                                                                        $begingroup$


                                                                                                                        Bash 4+, 97 89 91 88 bytes



                                                                                                                        Assume that inputs are ascending. Used concepts from VDM-SL answer. Try it Online

                                                                                                                        z==0 - game in progress
                                                                                                                        z==1 - game completed
                                                                                                                        z==2 - invalid



                                                                                                                        -8 by bracket cleanup from (( & | )) conditions
                                                                                                                        +2 fixing a bug, thanks to Kevin Cruijssen
                                                                                                                        -3 logic improvements by Kevin Cruijssen



                                                                                                                        i=$1 j=$2 z=0
                                                                                                                        ((j-i>2&j>21|i<0|i>29|j>30?z=2:0))
                                                                                                                        ((z<1&(j>20&j-i>1|j>29)?z=1:0))
                                                                                                                        echo $z





                                                                                                                        share|improve this answer











                                                                                                                        $endgroup$




                                                                                                                        Bash 4+, 97 89 91 88 bytes



                                                                                                                        Assume that inputs are ascending. Used concepts from VDM-SL answer. Try it Online

                                                                                                                        z==0 - game in progress
                                                                                                                        z==1 - game completed
                                                                                                                        z==2 - invalid



                                                                                                                        -8 by bracket cleanup from (( & | )) conditions
                                                                                                                        +2 fixing a bug, thanks to Kevin Cruijssen
                                                                                                                        -3 logic improvements by Kevin Cruijssen



                                                                                                                        i=$1 j=$2 z=0
                                                                                                                        ((j-i>2&j>21|i<0|i>29|j>30?z=2:0))
                                                                                                                        ((z<1&(j>20&j-i>1|j>29)?z=1:0))
                                                                                                                        echo $z






                                                                                                                        share|improve this answer














                                                                                                                        share|improve this answer



                                                                                                                        share|improve this answer








                                                                                                                        edited Apr 3 at 8:46

























                                                                                                                        answered Mar 28 at 13:40









                                                                                                                        roblogicroblogic

                                                                                                                        1615




                                                                                                                        1615







                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          Your 89 bytes version seems to output 1 instead of 2 for 0 30. Your 97 bytes version was working correctly, so if you're unable to fix it, you can always rollback. Upvoted for that 97 version. :)
                                                                                                                          $endgroup$
                                                                                                                          – Kevin Cruijssen
                                                                                                                          Mar 28 at 13:59







                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          This should fix it, and golf a byte at the same time. :)
                                                                                                                          $endgroup$
                                                                                                                          – Kevin Cruijssen
                                                                                                                          Mar 28 at 14:05







                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          I fixed it, but yours was better! Hard to keep up :P
                                                                                                                          $endgroup$
                                                                                                                          – roblogic
                                                                                                                          Mar 28 at 14:14










                                                                                                                        • $begingroup$
                                                                                                                          Bug at 29 30 :( it should be "completed"
                                                                                                                          $endgroup$
                                                                                                                          – roblogic
                                                                                                                          Apr 3 at 8:39






                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          Ah oops.. the i>29 should be j>29 in the second ternary to fix it.
                                                                                                                          $endgroup$
                                                                                                                          – Kevin Cruijssen
                                                                                                                          Apr 3 at 8:42












                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          Your 89 bytes version seems to output 1 instead of 2 for 0 30. Your 97 bytes version was working correctly, so if you're unable to fix it, you can always rollback. Upvoted for that 97 version. :)
                                                                                                                          $endgroup$
                                                                                                                          – Kevin Cruijssen
                                                                                                                          Mar 28 at 13:59







                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          This should fix it, and golf a byte at the same time. :)
                                                                                                                          $endgroup$
                                                                                                                          – Kevin Cruijssen
                                                                                                                          Mar 28 at 14:05







                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          I fixed it, but yours was better! Hard to keep up :P
                                                                                                                          $endgroup$
                                                                                                                          – roblogic
                                                                                                                          Mar 28 at 14:14










                                                                                                                        • $begingroup$
                                                                                                                          Bug at 29 30 :( it should be "completed"
                                                                                                                          $endgroup$
                                                                                                                          – roblogic
                                                                                                                          Apr 3 at 8:39






                                                                                                                        • 1




                                                                                                                          $begingroup$
                                                                                                                          Ah oops.. the i>29 should be j>29 in the second ternary to fix it.
                                                                                                                          $endgroup$
                                                                                                                          – Kevin Cruijssen
                                                                                                                          Apr 3 at 8:42







                                                                                                                        1




                                                                                                                        1




                                                                                                                        $begingroup$
                                                                                                                        Your 89 bytes version seems to output 1 instead of 2 for 0 30. Your 97 bytes version was working correctly, so if you're unable to fix it, you can always rollback. Upvoted for that 97 version. :)
                                                                                                                        $endgroup$
                                                                                                                        – Kevin Cruijssen
                                                                                                                        Mar 28 at 13:59





                                                                                                                        $begingroup$
                                                                                                                        Your 89 bytes version seems to output 1 instead of 2 for 0 30. Your 97 bytes version was working correctly, so if you're unable to fix it, you can always rollback. Upvoted for that 97 version. :)
                                                                                                                        $endgroup$
                                                                                                                        – Kevin Cruijssen
                                                                                                                        Mar 28 at 13:59





                                                                                                                        1




                                                                                                                        1




                                                                                                                        $begingroup$
                                                                                                                        This should fix it, and golf a byte at the same time. :)
                                                                                                                        $endgroup$
                                                                                                                        – Kevin Cruijssen
                                                                                                                        Mar 28 at 14:05





                                                                                                                        $begingroup$
                                                                                                                        This should fix it, and golf a byte at the same time. :)
                                                                                                                        $endgroup$
                                                                                                                        – Kevin Cruijssen
                                                                                                                        Mar 28 at 14:05





                                                                                                                        1




                                                                                                                        1




                                                                                                                        $begingroup$
                                                                                                                        I fixed it, but yours was better! Hard to keep up :P
                                                                                                                        $endgroup$
                                                                                                                        – roblogic
                                                                                                                        Mar 28 at 14:14




                                                                                                                        $begingroup$
                                                                                                                        I fixed it, but yours was better! Hard to keep up :P
                                                                                                                        $endgroup$
                                                                                                                        – roblogic
                                                                                                                        Mar 28 at 14:14












                                                                                                                        $begingroup$
                                                                                                                        Bug at 29 30 :( it should be "completed"
                                                                                                                        $endgroup$
                                                                                                                        – roblogic
                                                                                                                        Apr 3 at 8:39




                                                                                                                        $begingroup$
                                                                                                                        Bug at 29 30 :( it should be "completed"
                                                                                                                        $endgroup$
                                                                                                                        – roblogic
                                                                                                                        Apr 3 at 8:39




                                                                                                                        1




                                                                                                                        1




                                                                                                                        $begingroup$
                                                                                                                        Ah oops.. the i>29 should be j>29 in the second ternary to fix it.
                                                                                                                        $endgroup$
                                                                                                                        – Kevin Cruijssen
                                                                                                                        Apr 3 at 8:42




                                                                                                                        $begingroup$
                                                                                                                        Ah oops.. the i>29 should be j>29 in the second ternary to fix it.
                                                                                                                        $endgroup$
                                                                                                                        – Kevin Cruijssen
                                                                                                                        Apr 3 at 8:42

















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


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