Dig a border trench












7












$begingroup$


Background: Too many illegal immigrants from Blandia are crossing the border to Astan. The emperor of Astan has tasked you with digging a trench to keep them out, and Blandia must pay for the expenses. Since all typists have been furloughed until the trench is arranged, your code must be as short as possible.*



Task: Given a 2D map of the border between Astan and Blandia, make the Blands pay (with land) for a border trench.



For example: With Astanian cells marked A, Blandic cells marked B and trench cells marked + (the map frames are only for clarity):



┌──────────┐ ┌──────────┐
│AAAAAAAAAA│ │AAAAAAAAAA│
│ABAAAAAABA│ │A+AAAAAA+A│
│ABBBAABABA│ │A+++AA+A+A│
│ABBBAABABA│ │A+B+AA+A+A│
│ABBBBABABA│→│A+B++A+A+A│
│ABBBBABBBB│ │A+BB+A++++│
│ABBBBABBBB│ │A+BB+A+BBB│
│ABBBBBBBBB│ │A+BB+++BBB│
│BBBBBBBBBB│ │++BBBBBBBB│
└──────────┘ └──────────┘


Details: The map will have at least three rows and three columns. The top row will be entirely Astanian and the bottom row will be entirely Blandic.

 You may use any three values to represent Astanian territory, Blandic territory, and border trench, as long as input and output are consistent.



Automaton formulation: A Blandic cell with at least one Astanian cell in its Moore neighbourhood becomes a border trench cell.



Test cases



[
"AAAAAAAAAA",
"ABAAAAAABA",
"ABBBAABABA",
"ABBBAABABA",
"ABBBBABABA",
"ABBBBABBBB",
"ABBBBABBBB",
"ABBBBBBBBB",
"BBBBBBBBBB"
]


becomes:



[
"AAAAAAAAAA",
"A+AAAAAA+A",
"A+++AA+A+A",
"A+B+AA+A+A",
"A+B++A+A+A",
"A+BB+A++++",
"A+BB+A+BBB",
"A+BB+++BBB",
"++BBBBBBBB"
]




[
"AAA",
"AAA",
"BBB"
]


becomes:



[
"AAA",
"AAA",
"+++"
]




[
"AAAAAAAAAA",
"AAAABBBAAA",
"AAAABBBAAA",
"AAAABBBAAA",
"AAAAAAAAAA",
"BBBBBBABBB",
"BBBBBBAABB",
"BBBAAAAABB",
"BBBBBBBBBB"
]


becomes:



[
"AAAAAAAAAA",
"AAAA+++AAA",
"AAAA+B+AAA",
"AAAA+++AAA",
"AAAAAAAAAA",
"++++++A+++",
"BB++++AA+B",
"BB+AAAAA+B",
"BB+++++++B"
]




* DISCLAIMER: ANY RESEMBLANCE TO ACTUAL GEOPOLITICS IS PURELY COINCIDENTAL!










share|improve this question











$endgroup$












  • $begingroup$
    Political satire in the form of code golf, I love it :o)
    $endgroup$
    – Sok
    1 hour ago
















7












$begingroup$


Background: Too many illegal immigrants from Blandia are crossing the border to Astan. The emperor of Astan has tasked you with digging a trench to keep them out, and Blandia must pay for the expenses. Since all typists have been furloughed until the trench is arranged, your code must be as short as possible.*



Task: Given a 2D map of the border between Astan and Blandia, make the Blands pay (with land) for a border trench.



For example: With Astanian cells marked A, Blandic cells marked B and trench cells marked + (the map frames are only for clarity):



┌──────────┐ ┌──────────┐
│AAAAAAAAAA│ │AAAAAAAAAA│
│ABAAAAAABA│ │A+AAAAAA+A│
│ABBBAABABA│ │A+++AA+A+A│
│ABBBAABABA│ │A+B+AA+A+A│
│ABBBBABABA│→│A+B++A+A+A│
│ABBBBABBBB│ │A+BB+A++++│
│ABBBBABBBB│ │A+BB+A+BBB│
│ABBBBBBBBB│ │A+BB+++BBB│
│BBBBBBBBBB│ │++BBBBBBBB│
└──────────┘ └──────────┘


Details: The map will have at least three rows and three columns. The top row will be entirely Astanian and the bottom row will be entirely Blandic.

 You may use any three values to represent Astanian territory, Blandic territory, and border trench, as long as input and output are consistent.



Automaton formulation: A Blandic cell with at least one Astanian cell in its Moore neighbourhood becomes a border trench cell.



Test cases



[
"AAAAAAAAAA",
"ABAAAAAABA",
"ABBBAABABA",
"ABBBAABABA",
"ABBBBABABA",
"ABBBBABBBB",
"ABBBBABBBB",
"ABBBBBBBBB",
"BBBBBBBBBB"
]


becomes:



[
"AAAAAAAAAA",
"A+AAAAAA+A",
"A+++AA+A+A",
"A+B+AA+A+A",
"A+B++A+A+A",
"A+BB+A++++",
"A+BB+A+BBB",
"A+BB+++BBB",
"++BBBBBBBB"
]




[
"AAA",
"AAA",
"BBB"
]


becomes:



[
"AAA",
"AAA",
"+++"
]




[
"AAAAAAAAAA",
"AAAABBBAAA",
"AAAABBBAAA",
"AAAABBBAAA",
"AAAAAAAAAA",
"BBBBBBABBB",
"BBBBBBAABB",
"BBBAAAAABB",
"BBBBBBBBBB"
]


becomes:



[
"AAAAAAAAAA",
"AAAA+++AAA",
"AAAA+B+AAA",
"AAAA+++AAA",
"AAAAAAAAAA",
"++++++A+++",
"BB++++AA+B",
"BB+AAAAA+B",
"BB+++++++B"
]




* DISCLAIMER: ANY RESEMBLANCE TO ACTUAL GEOPOLITICS IS PURELY COINCIDENTAL!










share|improve this question











$endgroup$












  • $begingroup$
    Political satire in the form of code golf, I love it :o)
    $endgroup$
    – Sok
    1 hour ago














7












7








7


1



$begingroup$


Background: Too many illegal immigrants from Blandia are crossing the border to Astan. The emperor of Astan has tasked you with digging a trench to keep them out, and Blandia must pay for the expenses. Since all typists have been furloughed until the trench is arranged, your code must be as short as possible.*



Task: Given a 2D map of the border between Astan and Blandia, make the Blands pay (with land) for a border trench.



For example: With Astanian cells marked A, Blandic cells marked B and trench cells marked + (the map frames are only for clarity):



┌──────────┐ ┌──────────┐
│AAAAAAAAAA│ │AAAAAAAAAA│
│ABAAAAAABA│ │A+AAAAAA+A│
│ABBBAABABA│ │A+++AA+A+A│
│ABBBAABABA│ │A+B+AA+A+A│
│ABBBBABABA│→│A+B++A+A+A│
│ABBBBABBBB│ │A+BB+A++++│
│ABBBBABBBB│ │A+BB+A+BBB│
│ABBBBBBBBB│ │A+BB+++BBB│
│BBBBBBBBBB│ │++BBBBBBBB│
└──────────┘ └──────────┘


Details: The map will have at least three rows and three columns. The top row will be entirely Astanian and the bottom row will be entirely Blandic.

 You may use any three values to represent Astanian territory, Blandic territory, and border trench, as long as input and output are consistent.



Automaton formulation: A Blandic cell with at least one Astanian cell in its Moore neighbourhood becomes a border trench cell.



Test cases



[
"AAAAAAAAAA",
"ABAAAAAABA",
"ABBBAABABA",
"ABBBAABABA",
"ABBBBABABA",
"ABBBBABBBB",
"ABBBBABBBB",
"ABBBBBBBBB",
"BBBBBBBBBB"
]


becomes:



[
"AAAAAAAAAA",
"A+AAAAAA+A",
"A+++AA+A+A",
"A+B+AA+A+A",
"A+B++A+A+A",
"A+BB+A++++",
"A+BB+A+BBB",
"A+BB+++BBB",
"++BBBBBBBB"
]




[
"AAA",
"AAA",
"BBB"
]


becomes:



[
"AAA",
"AAA",
"+++"
]




[
"AAAAAAAAAA",
"AAAABBBAAA",
"AAAABBBAAA",
"AAAABBBAAA",
"AAAAAAAAAA",
"BBBBBBABBB",
"BBBBBBAABB",
"BBBAAAAABB",
"BBBBBBBBBB"
]


becomes:



[
"AAAAAAAAAA",
"AAAA+++AAA",
"AAAA+B+AAA",
"AAAA+++AAA",
"AAAAAAAAAA",
"++++++A+++",
"BB++++AA+B",
"BB+AAAAA+B",
"BB+++++++B"
]




* DISCLAIMER: ANY RESEMBLANCE TO ACTUAL GEOPOLITICS IS PURELY COINCIDENTAL!










share|improve this question











$endgroup$




Background: Too many illegal immigrants from Blandia are crossing the border to Astan. The emperor of Astan has tasked you with digging a trench to keep them out, and Blandia must pay for the expenses. Since all typists have been furloughed until the trench is arranged, your code must be as short as possible.*



Task: Given a 2D map of the border between Astan and Blandia, make the Blands pay (with land) for a border trench.



For example: With Astanian cells marked A, Blandic cells marked B and trench cells marked + (the map frames are only for clarity):



┌──────────┐ ┌──────────┐
│AAAAAAAAAA│ │AAAAAAAAAA│
│ABAAAAAABA│ │A+AAAAAA+A│
│ABBBAABABA│ │A+++AA+A+A│
│ABBBAABABA│ │A+B+AA+A+A│
│ABBBBABABA│→│A+B++A+A+A│
│ABBBBABBBB│ │A+BB+A++++│
│ABBBBABBBB│ │A+BB+A+BBB│
│ABBBBBBBBB│ │A+BB+++BBB│
│BBBBBBBBBB│ │++BBBBBBBB│
└──────────┘ └──────────┘


Details: The map will have at least three rows and three columns. The top row will be entirely Astanian and the bottom row will be entirely Blandic.

 You may use any three values to represent Astanian territory, Blandic territory, and border trench, as long as input and output are consistent.



Automaton formulation: A Blandic cell with at least one Astanian cell in its Moore neighbourhood becomes a border trench cell.



Test cases



[
"AAAAAAAAAA",
"ABAAAAAABA",
"ABBBAABABA",
"ABBBAABABA",
"ABBBBABABA",
"ABBBBABBBB",
"ABBBBABBBB",
"ABBBBBBBBB",
"BBBBBBBBBB"
]


becomes:



[
"AAAAAAAAAA",
"A+AAAAAA+A",
"A+++AA+A+A",
"A+B+AA+A+A",
"A+B++A+A+A",
"A+BB+A++++",
"A+BB+A+BBB",
"A+BB+++BBB",
"++BBBBBBBB"
]




[
"AAA",
"AAA",
"BBB"
]


becomes:



[
"AAA",
"AAA",
"+++"
]




[
"AAAAAAAAAA",
"AAAABBBAAA",
"AAAABBBAAA",
"AAAABBBAAA",
"AAAAAAAAAA",
"BBBBBBABBB",
"BBBBBBAABB",
"BBBAAAAABB",
"BBBBBBBBBB"
]


becomes:



[
"AAAAAAAAAA",
"AAAA+++AAA",
"AAAA+B+AAA",
"AAAA+++AAA",
"AAAAAAAAAA",
"++++++A+++",
"BB++++AA+B",
"BB+AAAAA+B",
"BB+++++++B"
]




* DISCLAIMER: ANY RESEMBLANCE TO ACTUAL GEOPOLITICS IS PURELY COINCIDENTAL!







code-golf matrix cellular-automata






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 13 mins ago







Adám

















asked 1 hour ago









AdámAdám

29.2k269192




29.2k269192












  • $begingroup$
    Political satire in the form of code golf, I love it :o)
    $endgroup$
    – Sok
    1 hour ago


















  • $begingroup$
    Political satire in the form of code golf, I love it :o)
    $endgroup$
    – Sok
    1 hour ago
















$begingroup$
Political satire in the form of code golf, I love it :o)
$endgroup$
– Sok
1 hour ago




$begingroup$
Political satire in the form of code golf, I love it :o)
$endgroup$
– Sok
1 hour ago










3 Answers
3






active

oldest

votes


















1












$begingroup$

JavaScript (ES7),  84  82 bytes



Saved 2 bytes thanks to @Shaggy



Takes input as a matrix of integers, with $3$ for Astan and $0$ for Blandia. Returns a matrix with the additional value $1$ for the trench.





a=>(g=x=>a.map(t=(r,Y)=>r.map((v,X)=>1/x?t|=(x-X)**2+(y-Y)**2<v:v||g(X,y=Y)|t)))()


Try it online!






share|improve this answer











$endgroup$













  • $begingroup$
    82 bytes?
    $endgroup$
    – Shaggy
    53 mins ago










  • $begingroup$
    @Shaggy Not enough questions lately. I don't know how to golf anymore. :D Thanks!
    $endgroup$
    – Arnauld
    50 mins ago










  • $begingroup$
    I was only thinking the same thing earlier!
    $endgroup$
    – Shaggy
    49 mins ago



















0












$begingroup$


Wolfram Language (Mathematica), 39 bytes



MorphologicalPerimeter[#,Padding->1]+#&


Try it online!



What else would we expect from Mathematica? Characters used are {Astan -> 0, Blandia -> 1, Trench -> 2}.






share|improve this answer









$endgroup$









  • 1




    $begingroup$
    ;-; what the heck mathematica
    $endgroup$
    – HyperNeutrino
    33 mins ago



















0












$begingroup$


K (ngn/k), 23 bytes



{x+x&2{++/'3'0,x,0}/~x}


Try it online!



uses 0 1 2 for A, B, and +



{ } function with argument x



~x logical not



2{ }/ twice do



0,x,0 surround with 0-s (top and bottom)



3' triples of consecutive rows



+/' sum each



+ transpose



x& minima between x and



x+ add x to






share|improve this answer









$endgroup$













    Your Answer





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    3 Answers
    3






    active

    oldest

    votes








    3 Answers
    3






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    1












    $begingroup$

    JavaScript (ES7),  84  82 bytes



    Saved 2 bytes thanks to @Shaggy



    Takes input as a matrix of integers, with $3$ for Astan and $0$ for Blandia. Returns a matrix with the additional value $1$ for the trench.





    a=>(g=x=>a.map(t=(r,Y)=>r.map((v,X)=>1/x?t|=(x-X)**2+(y-Y)**2<v:v||g(X,y=Y)|t)))()


    Try it online!






    share|improve this answer











    $endgroup$













    • $begingroup$
      82 bytes?
      $endgroup$
      – Shaggy
      53 mins ago










    • $begingroup$
      @Shaggy Not enough questions lately. I don't know how to golf anymore. :D Thanks!
      $endgroup$
      – Arnauld
      50 mins ago










    • $begingroup$
      I was only thinking the same thing earlier!
      $endgroup$
      – Shaggy
      49 mins ago
















    1












    $begingroup$

    JavaScript (ES7),  84  82 bytes



    Saved 2 bytes thanks to @Shaggy



    Takes input as a matrix of integers, with $3$ for Astan and $0$ for Blandia. Returns a matrix with the additional value $1$ for the trench.





    a=>(g=x=>a.map(t=(r,Y)=>r.map((v,X)=>1/x?t|=(x-X)**2+(y-Y)**2<v:v||g(X,y=Y)|t)))()


    Try it online!






    share|improve this answer











    $endgroup$













    • $begingroup$
      82 bytes?
      $endgroup$
      – Shaggy
      53 mins ago










    • $begingroup$
      @Shaggy Not enough questions lately. I don't know how to golf anymore. :D Thanks!
      $endgroup$
      – Arnauld
      50 mins ago










    • $begingroup$
      I was only thinking the same thing earlier!
      $endgroup$
      – Shaggy
      49 mins ago














    1












    1








    1





    $begingroup$

    JavaScript (ES7),  84  82 bytes



    Saved 2 bytes thanks to @Shaggy



    Takes input as a matrix of integers, with $3$ for Astan and $0$ for Blandia. Returns a matrix with the additional value $1$ for the trench.





    a=>(g=x=>a.map(t=(r,Y)=>r.map((v,X)=>1/x?t|=(x-X)**2+(y-Y)**2<v:v||g(X,y=Y)|t)))()


    Try it online!






    share|improve this answer











    $endgroup$



    JavaScript (ES7),  84  82 bytes



    Saved 2 bytes thanks to @Shaggy



    Takes input as a matrix of integers, with $3$ for Astan and $0$ for Blandia. Returns a matrix with the additional value $1$ for the trench.





    a=>(g=x=>a.map(t=(r,Y)=>r.map((v,X)=>1/x?t|=(x-X)**2+(y-Y)**2<v:v||g(X,y=Y)|t)))()


    Try it online!







    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited 51 mins ago

























    answered 58 mins ago









    ArnauldArnauld

    73.2k689307




    73.2k689307












    • $begingroup$
      82 bytes?
      $endgroup$
      – Shaggy
      53 mins ago










    • $begingroup$
      @Shaggy Not enough questions lately. I don't know how to golf anymore. :D Thanks!
      $endgroup$
      – Arnauld
      50 mins ago










    • $begingroup$
      I was only thinking the same thing earlier!
      $endgroup$
      – Shaggy
      49 mins ago


















    • $begingroup$
      82 bytes?
      $endgroup$
      – Shaggy
      53 mins ago










    • $begingroup$
      @Shaggy Not enough questions lately. I don't know how to golf anymore. :D Thanks!
      $endgroup$
      – Arnauld
      50 mins ago










    • $begingroup$
      I was only thinking the same thing earlier!
      $endgroup$
      – Shaggy
      49 mins ago
















    $begingroup$
    82 bytes?
    $endgroup$
    – Shaggy
    53 mins ago




    $begingroup$
    82 bytes?
    $endgroup$
    – Shaggy
    53 mins ago












    $begingroup$
    @Shaggy Not enough questions lately. I don't know how to golf anymore. :D Thanks!
    $endgroup$
    – Arnauld
    50 mins ago




    $begingroup$
    @Shaggy Not enough questions lately. I don't know how to golf anymore. :D Thanks!
    $endgroup$
    – Arnauld
    50 mins ago












    $begingroup$
    I was only thinking the same thing earlier!
    $endgroup$
    – Shaggy
    49 mins ago




    $begingroup$
    I was only thinking the same thing earlier!
    $endgroup$
    – Shaggy
    49 mins ago











    0












    $begingroup$


    Wolfram Language (Mathematica), 39 bytes



    MorphologicalPerimeter[#,Padding->1]+#&


    Try it online!



    What else would we expect from Mathematica? Characters used are {Astan -> 0, Blandia -> 1, Trench -> 2}.






    share|improve this answer









    $endgroup$









    • 1




      $begingroup$
      ;-; what the heck mathematica
      $endgroup$
      – HyperNeutrino
      33 mins ago
















    0












    $begingroup$


    Wolfram Language (Mathematica), 39 bytes



    MorphologicalPerimeter[#,Padding->1]+#&


    Try it online!



    What else would we expect from Mathematica? Characters used are {Astan -> 0, Blandia -> 1, Trench -> 2}.






    share|improve this answer









    $endgroup$









    • 1




      $begingroup$
      ;-; what the heck mathematica
      $endgroup$
      – HyperNeutrino
      33 mins ago














    0












    0








    0





    $begingroup$


    Wolfram Language (Mathematica), 39 bytes



    MorphologicalPerimeter[#,Padding->1]+#&


    Try it online!



    What else would we expect from Mathematica? Characters used are {Astan -> 0, Blandia -> 1, Trench -> 2}.






    share|improve this answer









    $endgroup$




    Wolfram Language (Mathematica), 39 bytes



    MorphologicalPerimeter[#,Padding->1]+#&


    Try it online!



    What else would we expect from Mathematica? Characters used are {Astan -> 0, Blandia -> 1, Trench -> 2}.







    share|improve this answer












    share|improve this answer



    share|improve this answer










    answered 34 mins ago









    lirtosiastlirtosiast

    15.8k436107




    15.8k436107








    • 1




      $begingroup$
      ;-; what the heck mathematica
      $endgroup$
      – HyperNeutrino
      33 mins ago














    • 1




      $begingroup$
      ;-; what the heck mathematica
      $endgroup$
      – HyperNeutrino
      33 mins ago








    1




    1




    $begingroup$
    ;-; what the heck mathematica
    $endgroup$
    – HyperNeutrino
    33 mins ago




    $begingroup$
    ;-; what the heck mathematica
    $endgroup$
    – HyperNeutrino
    33 mins ago











    0












    $begingroup$


    K (ngn/k), 23 bytes



    {x+x&2{++/'3'0,x,0}/~x}


    Try it online!



    uses 0 1 2 for A, B, and +



    { } function with argument x



    ~x logical not



    2{ }/ twice do



    0,x,0 surround with 0-s (top and bottom)



    3' triples of consecutive rows



    +/' sum each



    + transpose



    x& minima between x and



    x+ add x to






    share|improve this answer









    $endgroup$


















      0












      $begingroup$


      K (ngn/k), 23 bytes



      {x+x&2{++/'3'0,x,0}/~x}


      Try it online!



      uses 0 1 2 for A, B, and +



      { } function with argument x



      ~x logical not



      2{ }/ twice do



      0,x,0 surround with 0-s (top and bottom)



      3' triples of consecutive rows



      +/' sum each



      + transpose



      x& minima between x and



      x+ add x to






      share|improve this answer









      $endgroup$
















        0












        0








        0





        $begingroup$


        K (ngn/k), 23 bytes



        {x+x&2{++/'3'0,x,0}/~x}


        Try it online!



        uses 0 1 2 for A, B, and +



        { } function with argument x



        ~x logical not



        2{ }/ twice do



        0,x,0 surround with 0-s (top and bottom)



        3' triples of consecutive rows



        +/' sum each



        + transpose



        x& minima between x and



        x+ add x to






        share|improve this answer









        $endgroup$




        K (ngn/k), 23 bytes



        {x+x&2{++/'3'0,x,0}/~x}


        Try it online!



        uses 0 1 2 for A, B, and +



        { } function with argument x



        ~x logical not



        2{ }/ twice do



        0,x,0 surround with 0-s (top and bottom)



        3' triples of consecutive rows



        +/' sum each



        + transpose



        x& minima between x and



        x+ add x to







        share|improve this answer












        share|improve this answer



        share|improve this answer










        answered 29 mins ago









        ngnngn

        6,96112559




        6,96112559






























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