The Hungry Mouse











up vote
61
down vote

favorite
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Sixteen piles of cheese are put on a 4x4 square. They're labeled from $1$ to $16$. The smallest pile is $1$ and the biggest one is $16$.



The Hungry Mouse is so hungry that it always goes straight to the biggest pile (i.e. $16$) and eats it right away.



After that, it goes to the biggest neighboring pile and quickly eats that one as well. (Yeah ... It's really hungry.) And so on until there's no neighboring pile anymore.



A pile may have up to 8 neighbors (horizontally, vertically and diagonally). There's no wrap-around.



Example



We start with the following piles of cheese:



$$begin{matrix}
3&7&10&5\
6&8&12&13\
15&9&11&4\
14&1&16&2
end{matrix}$$



The Hungry Mouse first eats $16$, and then its biggest neighbor pile, which is $11$.



$$begin{matrix}
3&7&10&5\
6&8&12&13\
15&9&🐭&4\
14&1&color{grey}uparrow&2
end{matrix}$$



Its next moves are $13$, $12$, $10$, $8$, $15$, $14$, $9$, $6$, $7$ and $3$ in this exact order.



$$begin{matrix}
🐭&color{grey}leftarrow&smallcolor{grey}swarrow&5\
smallcolor{grey}nearrow&smallcolor{grey}swarrow&color{grey}uparrow&color{grey}leftarrow\
color{grey}downarrow&smallcolor{grey}nwarrow&smallcolor{grey}nearrow&4\
smallcolor{grey}nearrow&1&color{grey}uparrow&2
end{matrix}$$



There's no cheese anymore around the Hungry Mouse, so it stops there.



The challenge



Given the initial cheese configuration, your code must print or return the sum of the remaining piles once the Hungry Mouse has stopped eating them.



For the above example, the expected answer is $12$.



Rules




  • Because the size of the input matrix is fixed, you may take it as either a 2D array or a one-dimensional array.

  • Each value from $1$ to $16$ is guaranteed to appear exactly once.

  • This is code-golf.


Test cases



[ [ 4,  3,  2,  1], [ 5,  6,  7,  8], [12, 11, 10,  9], [13, 14, 15, 16] ] --> 0
[ [ 8, 1, 9, 14], [11, 6, 5, 16], [13, 15, 2, 7], [10, 3, 12, 4] ] --> 0
[ [ 1, 2, 3, 4], [ 5, 6, 7, 8], [ 9, 10, 11, 12], [13, 14, 15, 16] ] --> 1
[ [10, 15, 14, 11], [ 9, 3, 1, 7], [13, 5, 12, 6], [ 2, 8, 4, 16] ] --> 3
[ [ 3, 7, 10, 5], [ 6, 8, 12, 13], [15, 9, 11, 4], [14, 1, 16, 2] ] --> 12
[ [ 8, 9, 3, 6], [13, 11, 7, 15], [12, 10, 16, 2], [ 4, 14, 1, 5] ] --> 34
[ [ 8, 11, 12, 9], [14, 5, 10, 16], [ 7, 3, 1, 6], [13, 4, 2, 15] ] --> 51
[ [13, 14, 1, 2], [16, 15, 3, 4], [ 5, 6, 7, 8], [ 9, 10, 11, 12] ] --> 78
[ [ 9, 10, 11, 12], [ 1, 2, 4, 13], [ 7, 8, 5, 14], [ 3, 16, 6, 15] ] --> 102
[ [ 9, 10, 11, 12], [ 1, 2, 7, 13], [ 6, 16, 4, 14], [ 3, 8, 5, 15] ] --> 103









share|improve this question




















  • 24




    +1 for that mouse character
    – Luis Mendo
    yesterday












  • 78? You can be meaner than that! I think 102 is as mean as one can get though (e.g. [[9, 10, 11, 12], [1, 2, 4, 13], [7, 8, 5, 14], [3, 16, 6, 15]]) - hmm [0, 0, 19, 102, ...]
    – Jonathan Allan
    yesterday








  • 2




    ...make that 103: [[9, 10, 11, 12], [1, 2, 7, 13], [6, 16, 4, 14], [3, 8, 5, 15]]
    – Jonathan Allan
    yesterday








  • 7




    What a nicely written challenge! I'll keep it in mind for the best-of nominations.
    – xnor
    yesterday






  • 6




    After misreading I was a little sad that this was not a hungry moose.
    – akozi
    yesterday















up vote
61
down vote

favorite
6












Sixteen piles of cheese are put on a 4x4 square. They're labeled from $1$ to $16$. The smallest pile is $1$ and the biggest one is $16$.



The Hungry Mouse is so hungry that it always goes straight to the biggest pile (i.e. $16$) and eats it right away.



After that, it goes to the biggest neighboring pile and quickly eats that one as well. (Yeah ... It's really hungry.) And so on until there's no neighboring pile anymore.



A pile may have up to 8 neighbors (horizontally, vertically and diagonally). There's no wrap-around.



Example



We start with the following piles of cheese:



$$begin{matrix}
3&7&10&5\
6&8&12&13\
15&9&11&4\
14&1&16&2
end{matrix}$$



The Hungry Mouse first eats $16$, and then its biggest neighbor pile, which is $11$.



$$begin{matrix}
3&7&10&5\
6&8&12&13\
15&9&🐭&4\
14&1&color{grey}uparrow&2
end{matrix}$$



Its next moves are $13$, $12$, $10$, $8$, $15$, $14$, $9$, $6$, $7$ and $3$ in this exact order.



$$begin{matrix}
🐭&color{grey}leftarrow&smallcolor{grey}swarrow&5\
smallcolor{grey}nearrow&smallcolor{grey}swarrow&color{grey}uparrow&color{grey}leftarrow\
color{grey}downarrow&smallcolor{grey}nwarrow&smallcolor{grey}nearrow&4\
smallcolor{grey}nearrow&1&color{grey}uparrow&2
end{matrix}$$



There's no cheese anymore around the Hungry Mouse, so it stops there.



The challenge



Given the initial cheese configuration, your code must print or return the sum of the remaining piles once the Hungry Mouse has stopped eating them.



For the above example, the expected answer is $12$.



Rules




  • Because the size of the input matrix is fixed, you may take it as either a 2D array or a one-dimensional array.

  • Each value from $1$ to $16$ is guaranteed to appear exactly once.

  • This is code-golf.


Test cases



[ [ 4,  3,  2,  1], [ 5,  6,  7,  8], [12, 11, 10,  9], [13, 14, 15, 16] ] --> 0
[ [ 8, 1, 9, 14], [11, 6, 5, 16], [13, 15, 2, 7], [10, 3, 12, 4] ] --> 0
[ [ 1, 2, 3, 4], [ 5, 6, 7, 8], [ 9, 10, 11, 12], [13, 14, 15, 16] ] --> 1
[ [10, 15, 14, 11], [ 9, 3, 1, 7], [13, 5, 12, 6], [ 2, 8, 4, 16] ] --> 3
[ [ 3, 7, 10, 5], [ 6, 8, 12, 13], [15, 9, 11, 4], [14, 1, 16, 2] ] --> 12
[ [ 8, 9, 3, 6], [13, 11, 7, 15], [12, 10, 16, 2], [ 4, 14, 1, 5] ] --> 34
[ [ 8, 11, 12, 9], [14, 5, 10, 16], [ 7, 3, 1, 6], [13, 4, 2, 15] ] --> 51
[ [13, 14, 1, 2], [16, 15, 3, 4], [ 5, 6, 7, 8], [ 9, 10, 11, 12] ] --> 78
[ [ 9, 10, 11, 12], [ 1, 2, 4, 13], [ 7, 8, 5, 14], [ 3, 16, 6, 15] ] --> 102
[ [ 9, 10, 11, 12], [ 1, 2, 7, 13], [ 6, 16, 4, 14], [ 3, 8, 5, 15] ] --> 103









share|improve this question




















  • 24




    +1 for that mouse character
    – Luis Mendo
    yesterday












  • 78? You can be meaner than that! I think 102 is as mean as one can get though (e.g. [[9, 10, 11, 12], [1, 2, 4, 13], [7, 8, 5, 14], [3, 16, 6, 15]]) - hmm [0, 0, 19, 102, ...]
    – Jonathan Allan
    yesterday








  • 2




    ...make that 103: [[9, 10, 11, 12], [1, 2, 7, 13], [6, 16, 4, 14], [3, 8, 5, 15]]
    – Jonathan Allan
    yesterday








  • 7




    What a nicely written challenge! I'll keep it in mind for the best-of nominations.
    – xnor
    yesterday






  • 6




    After misreading I was a little sad that this was not a hungry moose.
    – akozi
    yesterday













up vote
61
down vote

favorite
6









up vote
61
down vote

favorite
6






6





Sixteen piles of cheese are put on a 4x4 square. They're labeled from $1$ to $16$. The smallest pile is $1$ and the biggest one is $16$.



The Hungry Mouse is so hungry that it always goes straight to the biggest pile (i.e. $16$) and eats it right away.



After that, it goes to the biggest neighboring pile and quickly eats that one as well. (Yeah ... It's really hungry.) And so on until there's no neighboring pile anymore.



A pile may have up to 8 neighbors (horizontally, vertically and diagonally). There's no wrap-around.



Example



We start with the following piles of cheese:



$$begin{matrix}
3&7&10&5\
6&8&12&13\
15&9&11&4\
14&1&16&2
end{matrix}$$



The Hungry Mouse first eats $16$, and then its biggest neighbor pile, which is $11$.



$$begin{matrix}
3&7&10&5\
6&8&12&13\
15&9&🐭&4\
14&1&color{grey}uparrow&2
end{matrix}$$



Its next moves are $13$, $12$, $10$, $8$, $15$, $14$, $9$, $6$, $7$ and $3$ in this exact order.



$$begin{matrix}
🐭&color{grey}leftarrow&smallcolor{grey}swarrow&5\
smallcolor{grey}nearrow&smallcolor{grey}swarrow&color{grey}uparrow&color{grey}leftarrow\
color{grey}downarrow&smallcolor{grey}nwarrow&smallcolor{grey}nearrow&4\
smallcolor{grey}nearrow&1&color{grey}uparrow&2
end{matrix}$$



There's no cheese anymore around the Hungry Mouse, so it stops there.



The challenge



Given the initial cheese configuration, your code must print or return the sum of the remaining piles once the Hungry Mouse has stopped eating them.



For the above example, the expected answer is $12$.



Rules




  • Because the size of the input matrix is fixed, you may take it as either a 2D array or a one-dimensional array.

  • Each value from $1$ to $16$ is guaranteed to appear exactly once.

  • This is code-golf.


Test cases



[ [ 4,  3,  2,  1], [ 5,  6,  7,  8], [12, 11, 10,  9], [13, 14, 15, 16] ] --> 0
[ [ 8, 1, 9, 14], [11, 6, 5, 16], [13, 15, 2, 7], [10, 3, 12, 4] ] --> 0
[ [ 1, 2, 3, 4], [ 5, 6, 7, 8], [ 9, 10, 11, 12], [13, 14, 15, 16] ] --> 1
[ [10, 15, 14, 11], [ 9, 3, 1, 7], [13, 5, 12, 6], [ 2, 8, 4, 16] ] --> 3
[ [ 3, 7, 10, 5], [ 6, 8, 12, 13], [15, 9, 11, 4], [14, 1, 16, 2] ] --> 12
[ [ 8, 9, 3, 6], [13, 11, 7, 15], [12, 10, 16, 2], [ 4, 14, 1, 5] ] --> 34
[ [ 8, 11, 12, 9], [14, 5, 10, 16], [ 7, 3, 1, 6], [13, 4, 2, 15] ] --> 51
[ [13, 14, 1, 2], [16, 15, 3, 4], [ 5, 6, 7, 8], [ 9, 10, 11, 12] ] --> 78
[ [ 9, 10, 11, 12], [ 1, 2, 4, 13], [ 7, 8, 5, 14], [ 3, 16, 6, 15] ] --> 102
[ [ 9, 10, 11, 12], [ 1, 2, 7, 13], [ 6, 16, 4, 14], [ 3, 8, 5, 15] ] --> 103









share|improve this question















Sixteen piles of cheese are put on a 4x4 square. They're labeled from $1$ to $16$. The smallest pile is $1$ and the biggest one is $16$.



The Hungry Mouse is so hungry that it always goes straight to the biggest pile (i.e. $16$) and eats it right away.



After that, it goes to the biggest neighboring pile and quickly eats that one as well. (Yeah ... It's really hungry.) And so on until there's no neighboring pile anymore.



A pile may have up to 8 neighbors (horizontally, vertically and diagonally). There's no wrap-around.



Example



We start with the following piles of cheese:



$$begin{matrix}
3&7&10&5\
6&8&12&13\
15&9&11&4\
14&1&16&2
end{matrix}$$



The Hungry Mouse first eats $16$, and then its biggest neighbor pile, which is $11$.



$$begin{matrix}
3&7&10&5\
6&8&12&13\
15&9&🐭&4\
14&1&color{grey}uparrow&2
end{matrix}$$



Its next moves are $13$, $12$, $10$, $8$, $15$, $14$, $9$, $6$, $7$ and $3$ in this exact order.



$$begin{matrix}
🐭&color{grey}leftarrow&smallcolor{grey}swarrow&5\
smallcolor{grey}nearrow&smallcolor{grey}swarrow&color{grey}uparrow&color{grey}leftarrow\
color{grey}downarrow&smallcolor{grey}nwarrow&smallcolor{grey}nearrow&4\
smallcolor{grey}nearrow&1&color{grey}uparrow&2
end{matrix}$$



There's no cheese anymore around the Hungry Mouse, so it stops there.



The challenge



Given the initial cheese configuration, your code must print or return the sum of the remaining piles once the Hungry Mouse has stopped eating them.



For the above example, the expected answer is $12$.



Rules




  • Because the size of the input matrix is fixed, you may take it as either a 2D array or a one-dimensional array.

  • Each value from $1$ to $16$ is guaranteed to appear exactly once.

  • This is code-golf.


Test cases



[ [ 4,  3,  2,  1], [ 5,  6,  7,  8], [12, 11, 10,  9], [13, 14, 15, 16] ] --> 0
[ [ 8, 1, 9, 14], [11, 6, 5, 16], [13, 15, 2, 7], [10, 3, 12, 4] ] --> 0
[ [ 1, 2, 3, 4], [ 5, 6, 7, 8], [ 9, 10, 11, 12], [13, 14, 15, 16] ] --> 1
[ [10, 15, 14, 11], [ 9, 3, 1, 7], [13, 5, 12, 6], [ 2, 8, 4, 16] ] --> 3
[ [ 3, 7, 10, 5], [ 6, 8, 12, 13], [15, 9, 11, 4], [14, 1, 16, 2] ] --> 12
[ [ 8, 9, 3, 6], [13, 11, 7, 15], [12, 10, 16, 2], [ 4, 14, 1, 5] ] --> 34
[ [ 8, 11, 12, 9], [14, 5, 10, 16], [ 7, 3, 1, 6], [13, 4, 2, 15] ] --> 51
[ [13, 14, 1, 2], [16, 15, 3, 4], [ 5, 6, 7, 8], [ 9, 10, 11, 12] ] --> 78
[ [ 9, 10, 11, 12], [ 1, 2, 4, 13], [ 7, 8, 5, 14], [ 3, 16, 6, 15] ] --> 102
[ [ 9, 10, 11, 12], [ 1, 2, 7, 13], [ 6, 16, 4, 14], [ 3, 8, 5, 15] ] --> 103






code-golf matrix






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edited yesterday

























asked yesterday









Arnauld

69.3k586293




69.3k586293








  • 24




    +1 for that mouse character
    – Luis Mendo
    yesterday












  • 78? You can be meaner than that! I think 102 is as mean as one can get though (e.g. [[9, 10, 11, 12], [1, 2, 4, 13], [7, 8, 5, 14], [3, 16, 6, 15]]) - hmm [0, 0, 19, 102, ...]
    – Jonathan Allan
    yesterday








  • 2




    ...make that 103: [[9, 10, 11, 12], [1, 2, 7, 13], [6, 16, 4, 14], [3, 8, 5, 15]]
    – Jonathan Allan
    yesterday








  • 7




    What a nicely written challenge! I'll keep it in mind for the best-of nominations.
    – xnor
    yesterday






  • 6




    After misreading I was a little sad that this was not a hungry moose.
    – akozi
    yesterday














  • 24




    +1 for that mouse character
    – Luis Mendo
    yesterday












  • 78? You can be meaner than that! I think 102 is as mean as one can get though (e.g. [[9, 10, 11, 12], [1, 2, 4, 13], [7, 8, 5, 14], [3, 16, 6, 15]]) - hmm [0, 0, 19, 102, ...]
    – Jonathan Allan
    yesterday








  • 2




    ...make that 103: [[9, 10, 11, 12], [1, 2, 7, 13], [6, 16, 4, 14], [3, 8, 5, 15]]
    – Jonathan Allan
    yesterday








  • 7




    What a nicely written challenge! I'll keep it in mind for the best-of nominations.
    – xnor
    yesterday






  • 6




    After misreading I was a little sad that this was not a hungry moose.
    – akozi
    yesterday








24




24




+1 for that mouse character
– Luis Mendo
yesterday






+1 for that mouse character
– Luis Mendo
yesterday














78? You can be meaner than that! I think 102 is as mean as one can get though (e.g. [[9, 10, 11, 12], [1, 2, 4, 13], [7, 8, 5, 14], [3, 16, 6, 15]]) - hmm [0, 0, 19, 102, ...]
– Jonathan Allan
yesterday






78? You can be meaner than that! I think 102 is as mean as one can get though (e.g. [[9, 10, 11, 12], [1, 2, 4, 13], [7, 8, 5, 14], [3, 16, 6, 15]]) - hmm [0, 0, 19, 102, ...]
– Jonathan Allan
yesterday






2




2




...make that 103: [[9, 10, 11, 12], [1, 2, 7, 13], [6, 16, 4, 14], [3, 8, 5, 15]]
– Jonathan Allan
yesterday






...make that 103: [[9, 10, 11, 12], [1, 2, 7, 13], [6, 16, 4, 14], [3, 8, 5, 15]]
– Jonathan Allan
yesterday






7




7




What a nicely written challenge! I'll keep it in mind for the best-of nominations.
– xnor
yesterday




What a nicely written challenge! I'll keep it in mind for the best-of nominations.
– xnor
yesterday




6




6




After misreading I was a little sad that this was not a hungry moose.
– akozi
yesterday




After misreading I was a little sad that this was not a hungry moose.
– akozi
yesterday










14 Answers
14






active

oldest

votes

















up vote
11
down vote














Python 2, 133 130 bytes





a=input();m=16
for i in range(m):a[i*5:i*5]=0,
while m:i=a.index(m);a[i]=0;m=max(a[i+x]for x in[-6,-5,-4,-1,1,4,5,6])
print sum(a)


Try it online!



Takes a flattened list of 16 elements.



How it works



a=input();m=16

# Add zero padding on each row, and enough zeroes at the end to avoid index error
for i in range(m):a[i*5:i*5]=0,

# m == maximum element found in last iteration
# i == index of last eaten element
# eaten elements of `a` are reset to 0
while m:i=a.index(m);a[i]=0;m=max(a[i+x]for x in[-6,-5,-4,-1,1,4,5,6])
print sum(a)





share|improve this answer























  • The adjacent-cell expression a[i+x]for x in[-6,-5,-4,-1,1,4,5,6] can be shortened to a[i+j+j/3*2-6]for j in range(9) (the zero entry is harmless). Python 3 can surely do shorter by hardcoding a length-8 bytestring, but Python 2 might still be better overall.
    – xnor
    yesterday






  • 1




    Though your zero padding loop is clever, it looks like it's shorter to take a 2D list: a=[0]*5 for r in input():a=r+[0]+a. Perhaps there's a yet shorter string slicing solution that doesn't require iterating.
    – xnor
    yesterday


















up vote
6
down vote













PHP, 177 174 171 bytes



for($v=16;$v;$u+=$v=max($p%4-1?max($a[$p-5],$a[$p-1],$a[$p+3]):0,$a[$p-4],$a[$p+4],$p%4?max($a[$p-3],$a[$p+1],$a[$p+5]):0))$a[$p=array_search($v,$a=&$argv)]=0;echo 120-$u;


Run with -nr, provide matrix elements as arguments or try it online.






share|improve this answer






























    up vote
    6
    down vote














    Python 2, 111 bytes





    i=x=a=input()
    while x:x,i=max((y,j)for j,y in enumerate(a)if i>or 2>i/4-j/4>-2<i%4-j%4<2);a[i]=0
    print sum(a)


    Try it online!



    Method and test cases adapted from Bubbler. Takes a flat list on STDIN.



    The code checks whether two flat indices i and j represent touching cells by checking that both row different i/4-j/4 and column difference i%4-j%4 are strictly between -2 and 2. The first pass instead has this check automatically succeed so that the largest entry is found disregarding adjacency.






    share|improve this answer




























      up vote
      6
      down vote














      MATL, 50 49 47 bytes



      16:HZ^!"2G@m1ZIm~]v16eXK68E16b"Ky0)Y)fyX-X>h]s-


      Input is a matrix, using ; as row separator.



      Try it online! Or verify all test cases.



      Explanation



      16:HZ^!  % Cartesian power of [1 2 ... 16] with exponent 2, transpose. Gives a 
      % 2-row matrix with 1st column [1; 1], 2nd [1; 2], ..., last [16; 16]
      " % For each column, say [k; j]
      2 % Push 2
      G@m % Push input matrix, then current column [k; j], then check membership.
      % This gives a 4×4 matrix that contains 1 for entries of the input that
      % contain k or j
      1ZI % Connected components (based on 8-neighbourhood) of nonzero entries.
      % This gives a 4×4 matrix with each connected component labeled with
      % values 1, 2, ... respectively
      m~ % True if 2 is not present in this matrix. That means there is only
      % one connected component; that is, k and j are neighbours in the
      % input matrix, or k=j
      ] % End
      v16e % The stack now has 256 values. Concatenate them into a vector and
      % reshape as a 16×16 matrix. This matrix describes neighbourhood: entry
      % (k,j) is 1 if values k and j are neighbours in the input or if k=j
      XK % Copy into clipboard K
      68E % Push 68 times 2, that is, 136, which is 1+2+...+16
      16 % Push 16. This is the initial value eaten by the mouse. New values will
      % be appended to create a vector of eaten values
      b % Bubble up the 16×16 matrix to the top of the stack
      " % For each column. This just executes the loop 16 times
      K % Push neighbourhood matrix from clipboard K
      y % Copy from below: pushes a copy of the vector of eaten values
      0) % Get last value. This is the most recent eaten value
      Y) % Get that row of the neighbourhood matrix
      f % Indices of nonzeros. This gives a vector of neighbours of the last
      % eaten value
      y % Copy from below: pushes a copy of the vector of eaten values
      X- % Set difference (may give an empty result)
      X> % Maximum value. This is the new eaten value (maximum neighbour not
      % already eaten). May be empty, if all neighbours are already eaten
      h % Concatenate to vector of eaten values
      ] % End
      s % Sum of vector of all eaten values
      - % Subtract from 136. Implicitly display





      share|improve this answer























      • Idk MatLab, but can you save a little if you push -136 instead of +136?
        – Titus
        17 hours ago










      • @Titus Hm I don't see how
        – Luis Mendo
        9 hours ago










      • or the other way round: I thought instead of 1) push 136 2) push each eaten value 3) sum up eaten values 4) subtract from 136 -> 1) push 136 2) push negative of eaten value 3) sum up stack. But as it obviously is only one byte each; it´s probably no gain.
        – Titus
        5 hours ago










      • @Titus Ah, yes, I think that uses the same number of bytes. Also, I need each eaten value (not its negative) for the set difference; negating would have to be done at the end
        – Luis Mendo
        5 hours ago




















      up vote
      3
      down vote














      R, 128 124 bytes





      r=rbind(0,cbind(0,matrix(scan(),4,4),0),0)
      m=which(r==16)
      while(r[m]){r[m]=0
      m=which(r==max(r[m+c(-7:-5,-1,1,5:7)]))}
      sum(r)


      Try it online!



      TIO link is slightly different, I am still trying to figure out how to make it work.



      I do feel like I can golf a lot more out of this. But this works for now.



      It creates a 4x4 matrix (which helped me to visualize things), pads it with 0's, then begins from 16 and searches it's surrounding "piles" for the next largest, and so forth.



      Upon conclusion, it does output a warning, but it is of no consequence and does not change the result.



      EDIT: -4 bytes by compressing the initialization of the matrix into 1 line






      share|improve this answer






























        up vote
        2
        down vote














        Charcoal, 47 bytes



        EA⭆ι§αλ≔QθW›θA«≔⌕KAθθJ﹪θ⁴÷θ⁴≔⌈KMθA»≔ΣEKA⌕αιθ⎚Iθ


        Try it online! Link is to verbose version of code. Explanation:



        EA⭆ι§αλ


        Convert the input numbers into alphabetic characters (A=0 .. Q=16) and print them as a 4x4 grid.



        ≔Qθ


        Start by eating the Q, i.e. 16.



        W›θA«


        Repeat while there is something to eat.



        ≔⌕KAθθ


        Find where the pile is. This is a linear view in row-major order.



        J﹪θ⁴÷θ⁴


        Convert to co-ordinates and jump to that location.



        ≔⌈KMθ


        Find the largest adjacent pile.






        Eat the current pile.



        ≔ΣEKA⌕αιθ


        Convert the piles back to integers and take the sum.



        ⎚Iθ


        Clear the canvas and output the result.






        share|improve this answer




























          up vote
          2
          down vote













          JavaScript, 122 bytes



          I took more than a couple of wrong turns on this one and now I've run out of time for further golfing but at least it's working. Will revisit tomorrow (or, knowing me, on the train home this evening!), if I can find a minute.



          a=>(g=n=>n?g([-6,-5,-4,-1,1,4,5,6].map(x=>n=a[x+=i]>n?a[x]:n,a[i=a.indexOf(n)]=n=0)|n)-n:120)(16,a=a.flatMap(x=>[...x,0]))


          Try it online






          share|improve this answer

















          • 1




            +1 for flatMap() :p
            – Arnauld
            yesterday










          • :D I think this is the first time I've used it for golf! Out of interest (and to give me a target when I come back to this), what was your score when you tried it?
            – Shaggy
            yesterday






          • 1




            I didn't try to golf it. Unless I have a specific trick in mind, I usually just write clean code to test my challenges.
            – Arnauld
            yesterday










          • Ok, you've convinced me to try. :) I'm currently at <s>116</s> 114.
            – Arnauld
            23 hours ago












          • 98 bytes after a good night's sleep. (Sorry about the multiple notifications.)
            – Arnauld
            10 hours ago


















          up vote
          2
          down vote













          SAS, 236 219 bytes



          Input on punch cards, one line per grid (space-separated), output printed to the log.



          This challenge is slightly complicated by some limitations of arrays in SAS:




          • There is no way to return the row and column indexes of a matching element from multidimensional data-step array - you have to treat the array as 1-d and then work them out for yourself.

          • If you go out of bounds, SAS throws an error and halts processing rather than returning null / zero.


          Updates:




          • Removed infile cards; statement (-13)

          • Used wildcard a: for array definition rather than a1-a16 (-4)


          Golfed:



          data;input a1-a16;array a[4,4]a:;p=16;t=136;do while(p);m=whichn(p,of a:);t=t-p;j=mod(m-1,4)+1;i=ceil(m/4);a[i,j]=0;p=0;do k=max(1,i-1)to min(i+1,4);do l=max(1,j-1)to min(j+1,4);p=max(p,a[k,l]);end;end;end;put t;cards;
          <insert punch cards here>
          ;


          Ungolfed:



          data;                /*Produce a dataset using automatic naming*/
          input a1-a16; /*Read 16 variables*/
          array a[4,4] a:; /*Assign to a 4x4 array*/
          p=16; /*Initial pile to look for*/
          t=136; /*Total cheese to decrement*/
          do while(p); /*Stop if there are no piles available with size > 0*/
          m=whichn(p,of a:); /*Find array element containing current pile size*/
          t=t-p; /*Decrement total cheese*/
          j=mod(m-1,4)+1; /*Get column number*/
          i=ceil(m/4); /*Get row number*/
          a[i,j]=0; /*Eat the current pile*/
          /*Find the size of the largest adjacent pile*/
          p=0;
          do k=max(1,i-1)to min(i+1,4);
          do l=max(1,j-1)to min(j+1,4);
          p=max(p,a[k,l]);
          end;
          end;
          end;
          put t; /*Print total remaining cheese to log*/
          /*Start of punch card input*/
          cards;
          4 3 2 1 5 6 7 8 12 11 10 9 13 14 15 16
          8 1 9 14 11 6 5 16 13 15 2 7 10 3 12 4
          1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
          10 15 14 11 9 3 1 7 13 5 12 6 2 8 4 16
          3 7 10 5 6 8 12 13 15 9 11 4 14 1 16 2
          8 9 3 6 13 11 7 15 12 10 16 2 4 14 1 5
          8 11 12 9 14 5 10 16 7 3 1 6 13 4 2 15
          13 14 1 2 16 15 3 4 5 6 7 8 9 10 11 12
          9 10 11 12 1 2 4 13 7 8 5 14 3 16 6 15
          9 10 11 12 1 2 7 13 6 16 4 14 3 8 5 15
          ; /*End of punch card input*/
          /*Implicit run;*/





          share|improve this answer























          • +1 for use of punch cards in PPCG :)
            – GNiklasch
            yesterday


















          up vote
          1
          down vote













          J, 82 bytes



          g=.](]*{:@[~:])]_1}~[:>./]{~((,-)1 5 6 7)+]i.{:
          [:+/[:(g^:_)16,~[:,0,~0,0,0,.~0,.]


          Try it online!



          I plan to golf this more tomorrow, and perhaps write a more J-ish solution similar to this one, but I figured I'd try the flattened approach since I hadn't done that before.






          share|improve this answer























          • Do you really need the leftmost ] in g?
            – Galen Ivanov
            yesterday






          • 1




            Thanks Galen, you're right. It's the least of the issues with this code :) I have a much better solution which I'll implement when I have time.
            – Jonah
            17 hours ago


















          up vote
          1
          down vote














          Red, 277 bytes



          func[a][k: 16 until[t:(index? find load form a k)- 1
          p: do rejoin[t / 4 + 1"x"t % 4 + 1]a/(p/1)/(p/2): 0
          m: 0 foreach d[-1 0x-1 1x-1 -1x0 1x0 -1x1 0x1 1][j: p + d
          if all[j/1 > 0 j/1 < 5 j/2 > 0 j/2 < 5 m < t: a/(j/1)/(j/2)][m: t]]0 = k: m]s: 0
          foreach n load form a[s: s + n]s]


          Try it online!



          It's really long solution and I'm not happy with it, but I spent so much time fixing it to work in TIO (apparently there are many differences between the Win and Linux stable versions of Red), so I post it anyway...



          More readable:



          f: func [ a ] [
          k: 16
          until [
          t: (index? find load form a n) - 1
          p: do rejoin [ t / 4 + 1 "x" t % 4 + 1 ]
          a/(p/1)/(p/2): 0
          m: 0
          foreach d [ -1 0x-1 1x-1 -1x0 1x0 -1x1 0x1 1 ] [
          j: p + d
          if all[ j/1 > 0
          j/1 < 5
          j/2 > 0
          j/2 < 5
          m < t: a/(j/1)/(j/2)
          ] [ m: t ]
          ]
          0 = k: m
          ]
          s: 0
          foreach n load form a [ s: s + n ]
          s
          ]





          share|improve this answer




























            up vote
            1
            down vote













            Java 10, 272 bytes





            m->{int r=0,c=0,R=4,C,M=1,x,y,X=0,Y=0;for(;R-->0;)for(C=4;C-->0;)if(m[R][C]>15)m[r=R][c=C]=0;for(;M!=0;m[r=X][c=Y]=0)for(M=-1,C=9;C-->0;)try{if((R=m[x=C<3?r-1:C>5?r+1:r][y=C%3<1?c-1:C%3>1?c+1:c])>M){M=R;X=x;Y=y;}}catch(Exception e){}for(var Z:m)for(int z:Z)M+=z;return M;}


            The cells are checked the same as in my answer for the All the single eights challenge.



            Try it online.



            Explanation:



            m->{                       // Method with integer-matrix parameter and integer return-type
            int r=0, // Row-coordinate for the largest number, starting at 0
            c=0, // Column-coordinate for the largest number, starting at 0
            R=4,C, // Row and column indices (later reused as temp integers)
            M=1, // Largest number the mouse just ate, starting at 1
            x,y,X=0,Y=0; // Temp integers
            for(;R-->0;) // Loop `R` in the range (4, 0]:
            for(C=4;C-->0;) // Inner loop `C` in the range (4, 0]:
            if(m[R][C]>15) // If the current cell is 16:
            m[r=R][c=C] // Set `r,c` to this coordinate
            =0; // And empty this cell
            for(;M!=0; // Loop as long as the largest number isn't 0:
            ; // After every iteration:
            m[r=X][c=Y] // Change the `r,c` coordinates,
            =0) // And empty this cell
            for(M=-1, // Reset `M` to -1
            C=9;C-->0;) // Inner loop `C` in the range (9, 0]:
            try{if((R= // Set `R` to:
            m[x=C<3? // If `C` is 0, 1, or 2:
            r-1 // Look at the previous row
            :C>5? // Else-if `C` is 6, 7, or 8:
            r+1 // Look at the next row
            : // Else (`C` is 3, 4, or 5):
            r] // Look at the current row
            [y=C%3<1? // If `C` is 0, 3, or 6:
            c-1 // Look at the previous column
            :C%3>1? // Else-if `C` is 2, 5, or 8:
            c+1 // Look at the next column
            : // Else (`C` is 1, 4, or 7):
            c]) // Look at the current column
            >M){ // And if the number in this cell is larger than `M`
            M=R; // Change `M` to this number
            X=x;Y=y;} // And change the `X,Y` coordinate to this cell
            }catch(Exception e){}
            // Catch and ignore ArrayIndexOutOfBoundsExceptions
            // (try-catch saves bytes in comparison to if-checks)
            for(var Z:m) // Then loop over all rows of the matrix:
            for(int z:Z) // Inner loop over all columns of the matrix:
            M+=z; // And sum them all together in `M` (which was 0)
            return M;} // Then return this sum as result





            share|improve this answer






























              up vote
              1
              down vote














              Jelly,  31 30  29 bytes



              ³œiⱮZIỊȦ
              ⁴ṖŒPŒ!€Ẏ⁴;ⱮṢÇƇṪ
              FḟÇS


              Since the method is far too slow to run within 60s with the mouse starting on 16 this starts her off at 9 and limits her ability such that she is only able to eat 9s or less Try it online! (thus here she eats 9, 2, 7, 4, 8, 6, 3 leaving 97).



              How?



              ³œiⱮZIỊȦ - Link 1, isSatisfactory?: list of integers, possiblePileChoice
              ³ - (using a left argument of) program's 3rd command line argument (M)
              Ɱ - map across (possiblePileChoice) with:
              œi - first multi-dimensional index of (the item) in (M)
              Z - transpose the resulting list of [row, column] values
              I - get the incremental differences
              Ị - insignificant? (vectorises an abs(v) <= 1 test)
              Ȧ - any and all? (0 if any 0s are present in the flattened result [or if it's empty])

              ⁴ṖŒPŒ!€Ẏ⁴;ⱮṢÇƇṪ - Link 2, getChosenPileList: list of lists of integers, M
              ⁴ - literal 16
              Ṗ - pop -> [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]
              ŒP - power-set -> [,[1],[2],...,[1,2],[1,3],...,[2,3,7],...,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]]
              € - for each:
              Œ! - all permutations
              Ẏ - tighten (to a single list of all these individual permutations)
              ⁴ - (using a left argument of) literal 16
              Ɱ - map across it with:
              ; - concatenate (put a 16 at the beginning of each one)
              Ṣ - sort the resulting list of lists
              Ƈ - filter keep those for which this is truthy:
              Ç - call last Link as a monad (i.e. isSatisfactory(possiblePileChoice)
              Ṫ - tail (get the right-most, i.e. the maximal satisfactory one)

              FḟÇS - Main Link: list of lists of integers, M
              F - flatten M
              Ç - call last Link (2) as a monad (i.e. get getChosenPileList(M))
              ḟ - filter discard (the resulting values) from (the flattened M)
              S - sum





              share|improve this answer























              • Ah yeah, power-set is not enough!
                – Jonathan Allan
                yesterday






              • 1




                @Arnauld - finally got a little time to golf :D This should work, but will be (way) too slow for running at TIO with the test case you used before.
                – Jonathan Allan
                yesterday


















              up vote
              1
              down vote













              Not my best work. There's some definite improvements to be done, some probably fundamental to the algorithm used -- I'm sure it can be improved by using only an int, but I couldn't figure out how to efficiently enumerate neighbors that way. I'd love to see a PowerShell solution that uses only a single dimensional array!




              PowerShell Core, 348 bytes





              Function F($o){$t=120;$a=@{-1=,0*4;4=,0*4};0..3|%{$a[$_]=[int](-join$o[(3+18*$_)..(3+18*$_+13)]-split',')+,0};$m=16;while($m-gt0){0..3|%{$i=$_;0..3|%{if($a[$i][$_]-eq$m){$r=$i;$c=$_}}};$m=($a[$r-1][$c-1],$a[$r-1][$c],$a[$r-1][$c+1],$a[$r][$c+1],$a[$r][$c-1],$a[$r+1][$c-1],$a[$r+1][$c],$a[$r+1][$c+1]|Measure -Max).Maximum;$t-=$m;$a[$r][$c]=0}$t}


              Try it online!





              More readable version:



              Function F($o){
              $t=120;
              $a=@{-1=,0*4;4=,0*4};
              0..3|%{$a[$_]=[int](-join$o[(3+18*$_)..(3+18*$_+13)]-split',')+,0};
              $m=16;
              while($m-gt0){
              0..3|%{$i=$_;0..3|%{if($a[$i][$_]-eq$m){$r=$i;$c=$_}}};
              $m=($a[$r-1][$c-1],$a[$r-1][$c],$a[$r-1][$c+1],$a[$r][$c+1],$a[$r][$c-1],$a[$r+1][$c-1],$a[$r+1][$c],$a[$r+1][$c+1]|Measure -Max).Maximum;
              $t-=$m;
              $a[$r][$c]=0
              }
              $t
              }





              share|improve this answer




























                up vote
                1
                down vote













                Powershell, 143 141 136 130 122 121 bytes





                $a=,0*5+($args|%{$_+0})
                for($n=16;$i=$a.IndexOf($n)){$a[$i]=0
                $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]}$a|%{$s+=$_}
                $s


                Less golfed test script:



                $f = {

                $a=,0*5+($args|%{$_+0})
                for($n=16;$i=$a.IndexOf($n)){
                $a[$i]=0
                $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]
                }
                $a|%{$s+=$_}
                $s

                }

                @(
                ,( 0 , ( 4, 3, 2, 1), ( 5, 6, 7, 8), (12, 11, 10, 9), (13, 14, 15, 16) )
                ,( 0 , ( 8, 1, 9, 14), (11, 6, 5, 16), (13, 15, 2, 7), (10, 3, 12, 4) )
                ,( 1 , ( 1, 2, 3, 4), ( 5, 6, 7, 8), ( 9, 10, 11, 12), (13, 14, 15, 16) )
                ,( 3 , (10, 15, 14, 11), ( 9, 3, 1, 7), (13, 5, 12, 6), ( 2, 8, 4, 16) )
                ,( 12 , ( 3, 7, 10, 5), ( 6, 8, 12, 13), (15, 9, 11, 4), (14, 1, 16, 2) )
                ,( 34 , ( 8, 9, 3, 6), (13, 11, 7, 15), (12, 10, 16, 2), ( 4, 14, 1, 5) )
                ,( 51 , ( 8, 11, 12, 9), (14, 5, 10, 16), ( 7, 3, 1, 6), (13, 4, 2, 15) )
                ,( 78 , (13, 14, 1, 2), (16, 15, 3, 4), ( 5, 6, 7, 8), ( 9, 10, 11, 12) )
                ,( 102, ( 9, 10, 11, 12), ( 1, 2, 4, 13), ( 7, 8, 5, 14), ( 3, 16, 6, 15) )
                ,( 103, ( 9, 10, 11, 12), ( 1, 2, 7, 13), ( 6, 16, 4, 14), ( 3, 8, 5, 15) )
                ) | % {
                $expected, $a = $_
                $result = &$f @a
                "$($result-eq$expected): $result"
                }


                Output:



                True: 0
                True: 0
                True: 1
                True: 3
                True: 12
                True: 34
                True: 51
                True: 78
                True: 102
                True: 103


                Explanation:



                First, add top and bottom borders of 0 and make a single dimensional array:





                0 0 0 0 0
                # # # # 0
                # # # # 0
                # # # # 0
                # # # # 0



                0 0 0 0 0 # # # # 0 # # # # 0 # # # # 0 # # # # 0


                Powershell returns $null if you try to get the value behind the end of the array.



                Second, loop biggest neighbor pile started from 16 to non-zero-maximum. And nullify it (The Hungry Mouse eats it).





                for($n=16;$i=$a.IndexOf($n)){
                $a[$i]=0
                $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]
                }


                Third, sum of the remaining piles.






                share|improve this answer























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                  14 Answers
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                  up vote
                  11
                  down vote














                  Python 2, 133 130 bytes





                  a=input();m=16
                  for i in range(m):a[i*5:i*5]=0,
                  while m:i=a.index(m);a[i]=0;m=max(a[i+x]for x in[-6,-5,-4,-1,1,4,5,6])
                  print sum(a)


                  Try it online!



                  Takes a flattened list of 16 elements.



                  How it works



                  a=input();m=16

                  # Add zero padding on each row, and enough zeroes at the end to avoid index error
                  for i in range(m):a[i*5:i*5]=0,

                  # m == maximum element found in last iteration
                  # i == index of last eaten element
                  # eaten elements of `a` are reset to 0
                  while m:i=a.index(m);a[i]=0;m=max(a[i+x]for x in[-6,-5,-4,-1,1,4,5,6])
                  print sum(a)





                  share|improve this answer























                  • The adjacent-cell expression a[i+x]for x in[-6,-5,-4,-1,1,4,5,6] can be shortened to a[i+j+j/3*2-6]for j in range(9) (the zero entry is harmless). Python 3 can surely do shorter by hardcoding a length-8 bytestring, but Python 2 might still be better overall.
                    – xnor
                    yesterday






                  • 1




                    Though your zero padding loop is clever, it looks like it's shorter to take a 2D list: a=[0]*5 for r in input():a=r+[0]+a. Perhaps there's a yet shorter string slicing solution that doesn't require iterating.
                    – xnor
                    yesterday















                  up vote
                  11
                  down vote














                  Python 2, 133 130 bytes





                  a=input();m=16
                  for i in range(m):a[i*5:i*5]=0,
                  while m:i=a.index(m);a[i]=0;m=max(a[i+x]for x in[-6,-5,-4,-1,1,4,5,6])
                  print sum(a)


                  Try it online!



                  Takes a flattened list of 16 elements.



                  How it works



                  a=input();m=16

                  # Add zero padding on each row, and enough zeroes at the end to avoid index error
                  for i in range(m):a[i*5:i*5]=0,

                  # m == maximum element found in last iteration
                  # i == index of last eaten element
                  # eaten elements of `a` are reset to 0
                  while m:i=a.index(m);a[i]=0;m=max(a[i+x]for x in[-6,-5,-4,-1,1,4,5,6])
                  print sum(a)





                  share|improve this answer























                  • The adjacent-cell expression a[i+x]for x in[-6,-5,-4,-1,1,4,5,6] can be shortened to a[i+j+j/3*2-6]for j in range(9) (the zero entry is harmless). Python 3 can surely do shorter by hardcoding a length-8 bytestring, but Python 2 might still be better overall.
                    – xnor
                    yesterday






                  • 1




                    Though your zero padding loop is clever, it looks like it's shorter to take a 2D list: a=[0]*5 for r in input():a=r+[0]+a. Perhaps there's a yet shorter string slicing solution that doesn't require iterating.
                    – xnor
                    yesterday













                  up vote
                  11
                  down vote










                  up vote
                  11
                  down vote










                  Python 2, 133 130 bytes





                  a=input();m=16
                  for i in range(m):a[i*5:i*5]=0,
                  while m:i=a.index(m);a[i]=0;m=max(a[i+x]for x in[-6,-5,-4,-1,1,4,5,6])
                  print sum(a)


                  Try it online!



                  Takes a flattened list of 16 elements.



                  How it works



                  a=input();m=16

                  # Add zero padding on each row, and enough zeroes at the end to avoid index error
                  for i in range(m):a[i*5:i*5]=0,

                  # m == maximum element found in last iteration
                  # i == index of last eaten element
                  # eaten elements of `a` are reset to 0
                  while m:i=a.index(m);a[i]=0;m=max(a[i+x]for x in[-6,-5,-4,-1,1,4,5,6])
                  print sum(a)





                  share|improve this answer















                  Python 2, 133 130 bytes





                  a=input();m=16
                  for i in range(m):a[i*5:i*5]=0,
                  while m:i=a.index(m);a[i]=0;m=max(a[i+x]for x in[-6,-5,-4,-1,1,4,5,6])
                  print sum(a)


                  Try it online!



                  Takes a flattened list of 16 elements.



                  How it works



                  a=input();m=16

                  # Add zero padding on each row, and enough zeroes at the end to avoid index error
                  for i in range(m):a[i*5:i*5]=0,

                  # m == maximum element found in last iteration
                  # i == index of last eaten element
                  # eaten elements of `a` are reset to 0
                  while m:i=a.index(m);a[i]=0;m=max(a[i+x]for x in[-6,-5,-4,-1,1,4,5,6])
                  print sum(a)






                  share|improve this answer














                  share|improve this answer



                  share|improve this answer








                  edited yesterday

























                  answered yesterday









                  Bubbler

                  5,634755




                  5,634755












                  • The adjacent-cell expression a[i+x]for x in[-6,-5,-4,-1,1,4,5,6] can be shortened to a[i+j+j/3*2-6]for j in range(9) (the zero entry is harmless). Python 3 can surely do shorter by hardcoding a length-8 bytestring, but Python 2 might still be better overall.
                    – xnor
                    yesterday






                  • 1




                    Though your zero padding loop is clever, it looks like it's shorter to take a 2D list: a=[0]*5 for r in input():a=r+[0]+a. Perhaps there's a yet shorter string slicing solution that doesn't require iterating.
                    – xnor
                    yesterday


















                  • The adjacent-cell expression a[i+x]for x in[-6,-5,-4,-1,1,4,5,6] can be shortened to a[i+j+j/3*2-6]for j in range(9) (the zero entry is harmless). Python 3 can surely do shorter by hardcoding a length-8 bytestring, but Python 2 might still be better overall.
                    – xnor
                    yesterday






                  • 1




                    Though your zero padding loop is clever, it looks like it's shorter to take a 2D list: a=[0]*5 for r in input():a=r+[0]+a. Perhaps there's a yet shorter string slicing solution that doesn't require iterating.
                    – xnor
                    yesterday
















                  The adjacent-cell expression a[i+x]for x in[-6,-5,-4,-1,1,4,5,6] can be shortened to a[i+j+j/3*2-6]for j in range(9) (the zero entry is harmless). Python 3 can surely do shorter by hardcoding a length-8 bytestring, but Python 2 might still be better overall.
                  – xnor
                  yesterday




                  The adjacent-cell expression a[i+x]for x in[-6,-5,-4,-1,1,4,5,6] can be shortened to a[i+j+j/3*2-6]for j in range(9) (the zero entry is harmless). Python 3 can surely do shorter by hardcoding a length-8 bytestring, but Python 2 might still be better overall.
                  – xnor
                  yesterday




                  1




                  1




                  Though your zero padding loop is clever, it looks like it's shorter to take a 2D list: a=[0]*5 for r in input():a=r+[0]+a. Perhaps there's a yet shorter string slicing solution that doesn't require iterating.
                  – xnor
                  yesterday




                  Though your zero padding loop is clever, it looks like it's shorter to take a 2D list: a=[0]*5 for r in input():a=r+[0]+a. Perhaps there's a yet shorter string slicing solution that doesn't require iterating.
                  – xnor
                  yesterday










                  up vote
                  6
                  down vote













                  PHP, 177 174 171 bytes



                  for($v=16;$v;$u+=$v=max($p%4-1?max($a[$p-5],$a[$p-1],$a[$p+3]):0,$a[$p-4],$a[$p+4],$p%4?max($a[$p-3],$a[$p+1],$a[$p+5]):0))$a[$p=array_search($v,$a=&$argv)]=0;echo 120-$u;


                  Run with -nr, provide matrix elements as arguments or try it online.






                  share|improve this answer



























                    up vote
                    6
                    down vote













                    PHP, 177 174 171 bytes



                    for($v=16;$v;$u+=$v=max($p%4-1?max($a[$p-5],$a[$p-1],$a[$p+3]):0,$a[$p-4],$a[$p+4],$p%4?max($a[$p-3],$a[$p+1],$a[$p+5]):0))$a[$p=array_search($v,$a=&$argv)]=0;echo 120-$u;


                    Run with -nr, provide matrix elements as arguments or try it online.






                    share|improve this answer

























                      up vote
                      6
                      down vote










                      up vote
                      6
                      down vote









                      PHP, 177 174 171 bytes



                      for($v=16;$v;$u+=$v=max($p%4-1?max($a[$p-5],$a[$p-1],$a[$p+3]):0,$a[$p-4],$a[$p+4],$p%4?max($a[$p-3],$a[$p+1],$a[$p+5]):0))$a[$p=array_search($v,$a=&$argv)]=0;echo 120-$u;


                      Run with -nr, provide matrix elements as arguments or try it online.






                      share|improve this answer














                      PHP, 177 174 171 bytes



                      for($v=16;$v;$u+=$v=max($p%4-1?max($a[$p-5],$a[$p-1],$a[$p+3]):0,$a[$p-4],$a[$p+4],$p%4?max($a[$p-3],$a[$p+1],$a[$p+5]):0))$a[$p=array_search($v,$a=&$argv)]=0;echo 120-$u;


                      Run with -nr, provide matrix elements as arguments or try it online.







                      share|improve this answer














                      share|improve this answer



                      share|improve this answer








                      edited yesterday

























                      answered yesterday









                      Titus

                      12.9k11237




                      12.9k11237






















                          up vote
                          6
                          down vote














                          Python 2, 111 bytes





                          i=x=a=input()
                          while x:x,i=max((y,j)for j,y in enumerate(a)if i>or 2>i/4-j/4>-2<i%4-j%4<2);a[i]=0
                          print sum(a)


                          Try it online!



                          Method and test cases adapted from Bubbler. Takes a flat list on STDIN.



                          The code checks whether two flat indices i and j represent touching cells by checking that both row different i/4-j/4 and column difference i%4-j%4 are strictly between -2 and 2. The first pass instead has this check automatically succeed so that the largest entry is found disregarding adjacency.






                          share|improve this answer

























                            up vote
                            6
                            down vote














                            Python 2, 111 bytes





                            i=x=a=input()
                            while x:x,i=max((y,j)for j,y in enumerate(a)if i>or 2>i/4-j/4>-2<i%4-j%4<2);a[i]=0
                            print sum(a)


                            Try it online!



                            Method and test cases adapted from Bubbler. Takes a flat list on STDIN.



                            The code checks whether two flat indices i and j represent touching cells by checking that both row different i/4-j/4 and column difference i%4-j%4 are strictly between -2 and 2. The first pass instead has this check automatically succeed so that the largest entry is found disregarding adjacency.






                            share|improve this answer























                              up vote
                              6
                              down vote










                              up vote
                              6
                              down vote










                              Python 2, 111 bytes





                              i=x=a=input()
                              while x:x,i=max((y,j)for j,y in enumerate(a)if i>or 2>i/4-j/4>-2<i%4-j%4<2);a[i]=0
                              print sum(a)


                              Try it online!



                              Method and test cases adapted from Bubbler. Takes a flat list on STDIN.



                              The code checks whether two flat indices i and j represent touching cells by checking that both row different i/4-j/4 and column difference i%4-j%4 are strictly between -2 and 2. The first pass instead has this check automatically succeed so that the largest entry is found disregarding adjacency.






                              share|improve this answer













                              Python 2, 111 bytes





                              i=x=a=input()
                              while x:x,i=max((y,j)for j,y in enumerate(a)if i>or 2>i/4-j/4>-2<i%4-j%4<2);a[i]=0
                              print sum(a)


                              Try it online!



                              Method and test cases adapted from Bubbler. Takes a flat list on STDIN.



                              The code checks whether two flat indices i and j represent touching cells by checking that both row different i/4-j/4 and column difference i%4-j%4 are strictly between -2 and 2. The first pass instead has this check automatically succeed so that the largest entry is found disregarding adjacency.







                              share|improve this answer












                              share|improve this answer



                              share|improve this answer










                              answered yesterday









                              xnor

                              88.9k18184437




                              88.9k18184437






















                                  up vote
                                  6
                                  down vote














                                  MATL, 50 49 47 bytes



                                  16:HZ^!"2G@m1ZIm~]v16eXK68E16b"Ky0)Y)fyX-X>h]s-


                                  Input is a matrix, using ; as row separator.



                                  Try it online! Or verify all test cases.



                                  Explanation



                                  16:HZ^!  % Cartesian power of [1 2 ... 16] with exponent 2, transpose. Gives a 
                                  % 2-row matrix with 1st column [1; 1], 2nd [1; 2], ..., last [16; 16]
                                  " % For each column, say [k; j]
                                  2 % Push 2
                                  G@m % Push input matrix, then current column [k; j], then check membership.
                                  % This gives a 4×4 matrix that contains 1 for entries of the input that
                                  % contain k or j
                                  1ZI % Connected components (based on 8-neighbourhood) of nonzero entries.
                                  % This gives a 4×4 matrix with each connected component labeled with
                                  % values 1, 2, ... respectively
                                  m~ % True if 2 is not present in this matrix. That means there is only
                                  % one connected component; that is, k and j are neighbours in the
                                  % input matrix, or k=j
                                  ] % End
                                  v16e % The stack now has 256 values. Concatenate them into a vector and
                                  % reshape as a 16×16 matrix. This matrix describes neighbourhood: entry
                                  % (k,j) is 1 if values k and j are neighbours in the input or if k=j
                                  XK % Copy into clipboard K
                                  68E % Push 68 times 2, that is, 136, which is 1+2+...+16
                                  16 % Push 16. This is the initial value eaten by the mouse. New values will
                                  % be appended to create a vector of eaten values
                                  b % Bubble up the 16×16 matrix to the top of the stack
                                  " % For each column. This just executes the loop 16 times
                                  K % Push neighbourhood matrix from clipboard K
                                  y % Copy from below: pushes a copy of the vector of eaten values
                                  0) % Get last value. This is the most recent eaten value
                                  Y) % Get that row of the neighbourhood matrix
                                  f % Indices of nonzeros. This gives a vector of neighbours of the last
                                  % eaten value
                                  y % Copy from below: pushes a copy of the vector of eaten values
                                  X- % Set difference (may give an empty result)
                                  X> % Maximum value. This is the new eaten value (maximum neighbour not
                                  % already eaten). May be empty, if all neighbours are already eaten
                                  h % Concatenate to vector of eaten values
                                  ] % End
                                  s % Sum of vector of all eaten values
                                  - % Subtract from 136. Implicitly display





                                  share|improve this answer























                                  • Idk MatLab, but can you save a little if you push -136 instead of +136?
                                    – Titus
                                    17 hours ago










                                  • @Titus Hm I don't see how
                                    – Luis Mendo
                                    9 hours ago










                                  • or the other way round: I thought instead of 1) push 136 2) push each eaten value 3) sum up eaten values 4) subtract from 136 -> 1) push 136 2) push negative of eaten value 3) sum up stack. But as it obviously is only one byte each; it´s probably no gain.
                                    – Titus
                                    5 hours ago










                                  • @Titus Ah, yes, I think that uses the same number of bytes. Also, I need each eaten value (not its negative) for the set difference; negating would have to be done at the end
                                    – Luis Mendo
                                    5 hours ago

















                                  up vote
                                  6
                                  down vote














                                  MATL, 50 49 47 bytes



                                  16:HZ^!"2G@m1ZIm~]v16eXK68E16b"Ky0)Y)fyX-X>h]s-


                                  Input is a matrix, using ; as row separator.



                                  Try it online! Or verify all test cases.



                                  Explanation



                                  16:HZ^!  % Cartesian power of [1 2 ... 16] with exponent 2, transpose. Gives a 
                                  % 2-row matrix with 1st column [1; 1], 2nd [1; 2], ..., last [16; 16]
                                  " % For each column, say [k; j]
                                  2 % Push 2
                                  G@m % Push input matrix, then current column [k; j], then check membership.
                                  % This gives a 4×4 matrix that contains 1 for entries of the input that
                                  % contain k or j
                                  1ZI % Connected components (based on 8-neighbourhood) of nonzero entries.
                                  % This gives a 4×4 matrix with each connected component labeled with
                                  % values 1, 2, ... respectively
                                  m~ % True if 2 is not present in this matrix. That means there is only
                                  % one connected component; that is, k and j are neighbours in the
                                  % input matrix, or k=j
                                  ] % End
                                  v16e % The stack now has 256 values. Concatenate them into a vector and
                                  % reshape as a 16×16 matrix. This matrix describes neighbourhood: entry
                                  % (k,j) is 1 if values k and j are neighbours in the input or if k=j
                                  XK % Copy into clipboard K
                                  68E % Push 68 times 2, that is, 136, which is 1+2+...+16
                                  16 % Push 16. This is the initial value eaten by the mouse. New values will
                                  % be appended to create a vector of eaten values
                                  b % Bubble up the 16×16 matrix to the top of the stack
                                  " % For each column. This just executes the loop 16 times
                                  K % Push neighbourhood matrix from clipboard K
                                  y % Copy from below: pushes a copy of the vector of eaten values
                                  0) % Get last value. This is the most recent eaten value
                                  Y) % Get that row of the neighbourhood matrix
                                  f % Indices of nonzeros. This gives a vector of neighbours of the last
                                  % eaten value
                                  y % Copy from below: pushes a copy of the vector of eaten values
                                  X- % Set difference (may give an empty result)
                                  X> % Maximum value. This is the new eaten value (maximum neighbour not
                                  % already eaten). May be empty, if all neighbours are already eaten
                                  h % Concatenate to vector of eaten values
                                  ] % End
                                  s % Sum of vector of all eaten values
                                  - % Subtract from 136. Implicitly display





                                  share|improve this answer























                                  • Idk MatLab, but can you save a little if you push -136 instead of +136?
                                    – Titus
                                    17 hours ago










                                  • @Titus Hm I don't see how
                                    – Luis Mendo
                                    9 hours ago










                                  • or the other way round: I thought instead of 1) push 136 2) push each eaten value 3) sum up eaten values 4) subtract from 136 -> 1) push 136 2) push negative of eaten value 3) sum up stack. But as it obviously is only one byte each; it´s probably no gain.
                                    – Titus
                                    5 hours ago










                                  • @Titus Ah, yes, I think that uses the same number of bytes. Also, I need each eaten value (not its negative) for the set difference; negating would have to be done at the end
                                    – Luis Mendo
                                    5 hours ago















                                  up vote
                                  6
                                  down vote










                                  up vote
                                  6
                                  down vote










                                  MATL, 50 49 47 bytes



                                  16:HZ^!"2G@m1ZIm~]v16eXK68E16b"Ky0)Y)fyX-X>h]s-


                                  Input is a matrix, using ; as row separator.



                                  Try it online! Or verify all test cases.



                                  Explanation



                                  16:HZ^!  % Cartesian power of [1 2 ... 16] with exponent 2, transpose. Gives a 
                                  % 2-row matrix with 1st column [1; 1], 2nd [1; 2], ..., last [16; 16]
                                  " % For each column, say [k; j]
                                  2 % Push 2
                                  G@m % Push input matrix, then current column [k; j], then check membership.
                                  % This gives a 4×4 matrix that contains 1 for entries of the input that
                                  % contain k or j
                                  1ZI % Connected components (based on 8-neighbourhood) of nonzero entries.
                                  % This gives a 4×4 matrix with each connected component labeled with
                                  % values 1, 2, ... respectively
                                  m~ % True if 2 is not present in this matrix. That means there is only
                                  % one connected component; that is, k and j are neighbours in the
                                  % input matrix, or k=j
                                  ] % End
                                  v16e % The stack now has 256 values. Concatenate them into a vector and
                                  % reshape as a 16×16 matrix. This matrix describes neighbourhood: entry
                                  % (k,j) is 1 if values k and j are neighbours in the input or if k=j
                                  XK % Copy into clipboard K
                                  68E % Push 68 times 2, that is, 136, which is 1+2+...+16
                                  16 % Push 16. This is the initial value eaten by the mouse. New values will
                                  % be appended to create a vector of eaten values
                                  b % Bubble up the 16×16 matrix to the top of the stack
                                  " % For each column. This just executes the loop 16 times
                                  K % Push neighbourhood matrix from clipboard K
                                  y % Copy from below: pushes a copy of the vector of eaten values
                                  0) % Get last value. This is the most recent eaten value
                                  Y) % Get that row of the neighbourhood matrix
                                  f % Indices of nonzeros. This gives a vector of neighbours of the last
                                  % eaten value
                                  y % Copy from below: pushes a copy of the vector of eaten values
                                  X- % Set difference (may give an empty result)
                                  X> % Maximum value. This is the new eaten value (maximum neighbour not
                                  % already eaten). May be empty, if all neighbours are already eaten
                                  h % Concatenate to vector of eaten values
                                  ] % End
                                  s % Sum of vector of all eaten values
                                  - % Subtract from 136. Implicitly display





                                  share|improve this answer















                                  MATL, 50 49 47 bytes



                                  16:HZ^!"2G@m1ZIm~]v16eXK68E16b"Ky0)Y)fyX-X>h]s-


                                  Input is a matrix, using ; as row separator.



                                  Try it online! Or verify all test cases.



                                  Explanation



                                  16:HZ^!  % Cartesian power of [1 2 ... 16] with exponent 2, transpose. Gives a 
                                  % 2-row matrix with 1st column [1; 1], 2nd [1; 2], ..., last [16; 16]
                                  " % For each column, say [k; j]
                                  2 % Push 2
                                  G@m % Push input matrix, then current column [k; j], then check membership.
                                  % This gives a 4×4 matrix that contains 1 for entries of the input that
                                  % contain k or j
                                  1ZI % Connected components (based on 8-neighbourhood) of nonzero entries.
                                  % This gives a 4×4 matrix with each connected component labeled with
                                  % values 1, 2, ... respectively
                                  m~ % True if 2 is not present in this matrix. That means there is only
                                  % one connected component; that is, k and j are neighbours in the
                                  % input matrix, or k=j
                                  ] % End
                                  v16e % The stack now has 256 values. Concatenate them into a vector and
                                  % reshape as a 16×16 matrix. This matrix describes neighbourhood: entry
                                  % (k,j) is 1 if values k and j are neighbours in the input or if k=j
                                  XK % Copy into clipboard K
                                  68E % Push 68 times 2, that is, 136, which is 1+2+...+16
                                  16 % Push 16. This is the initial value eaten by the mouse. New values will
                                  % be appended to create a vector of eaten values
                                  b % Bubble up the 16×16 matrix to the top of the stack
                                  " % For each column. This just executes the loop 16 times
                                  K % Push neighbourhood matrix from clipboard K
                                  y % Copy from below: pushes a copy of the vector of eaten values
                                  0) % Get last value. This is the most recent eaten value
                                  Y) % Get that row of the neighbourhood matrix
                                  f % Indices of nonzeros. This gives a vector of neighbours of the last
                                  % eaten value
                                  y % Copy from below: pushes a copy of the vector of eaten values
                                  X- % Set difference (may give an empty result)
                                  X> % Maximum value. This is the new eaten value (maximum neighbour not
                                  % already eaten). May be empty, if all neighbours are already eaten
                                  h % Concatenate to vector of eaten values
                                  ] % End
                                  s % Sum of vector of all eaten values
                                  - % Subtract from 136. Implicitly display






                                  share|improve this answer














                                  share|improve this answer



                                  share|improve this answer








                                  edited yesterday

























                                  answered yesterday









                                  Luis Mendo

                                  73.7k885289




                                  73.7k885289












                                  • Idk MatLab, but can you save a little if you push -136 instead of +136?
                                    – Titus
                                    17 hours ago










                                  • @Titus Hm I don't see how
                                    – Luis Mendo
                                    9 hours ago










                                  • or the other way round: I thought instead of 1) push 136 2) push each eaten value 3) sum up eaten values 4) subtract from 136 -> 1) push 136 2) push negative of eaten value 3) sum up stack. But as it obviously is only one byte each; it´s probably no gain.
                                    – Titus
                                    5 hours ago










                                  • @Titus Ah, yes, I think that uses the same number of bytes. Also, I need each eaten value (not its negative) for the set difference; negating would have to be done at the end
                                    – Luis Mendo
                                    5 hours ago




















                                  • Idk MatLab, but can you save a little if you push -136 instead of +136?
                                    – Titus
                                    17 hours ago










                                  • @Titus Hm I don't see how
                                    – Luis Mendo
                                    9 hours ago










                                  • or the other way round: I thought instead of 1) push 136 2) push each eaten value 3) sum up eaten values 4) subtract from 136 -> 1) push 136 2) push negative of eaten value 3) sum up stack. But as it obviously is only one byte each; it´s probably no gain.
                                    – Titus
                                    5 hours ago










                                  • @Titus Ah, yes, I think that uses the same number of bytes. Also, I need each eaten value (not its negative) for the set difference; negating would have to be done at the end
                                    – Luis Mendo
                                    5 hours ago


















                                  Idk MatLab, but can you save a little if you push -136 instead of +136?
                                  – Titus
                                  17 hours ago




                                  Idk MatLab, but can you save a little if you push -136 instead of +136?
                                  – Titus
                                  17 hours ago












                                  @Titus Hm I don't see how
                                  – Luis Mendo
                                  9 hours ago




                                  @Titus Hm I don't see how
                                  – Luis Mendo
                                  9 hours ago












                                  or the other way round: I thought instead of 1) push 136 2) push each eaten value 3) sum up eaten values 4) subtract from 136 -> 1) push 136 2) push negative of eaten value 3) sum up stack. But as it obviously is only one byte each; it´s probably no gain.
                                  – Titus
                                  5 hours ago




                                  or the other way round: I thought instead of 1) push 136 2) push each eaten value 3) sum up eaten values 4) subtract from 136 -> 1) push 136 2) push negative of eaten value 3) sum up stack. But as it obviously is only one byte each; it´s probably no gain.
                                  – Titus
                                  5 hours ago












                                  @Titus Ah, yes, I think that uses the same number of bytes. Also, I need each eaten value (not its negative) for the set difference; negating would have to be done at the end
                                  – Luis Mendo
                                  5 hours ago






                                  @Titus Ah, yes, I think that uses the same number of bytes. Also, I need each eaten value (not its negative) for the set difference; negating would have to be done at the end
                                  – Luis Mendo
                                  5 hours ago












                                  up vote
                                  3
                                  down vote














                                  R, 128 124 bytes





                                  r=rbind(0,cbind(0,matrix(scan(),4,4),0),0)
                                  m=which(r==16)
                                  while(r[m]){r[m]=0
                                  m=which(r==max(r[m+c(-7:-5,-1,1,5:7)]))}
                                  sum(r)


                                  Try it online!



                                  TIO link is slightly different, I am still trying to figure out how to make it work.



                                  I do feel like I can golf a lot more out of this. But this works for now.



                                  It creates a 4x4 matrix (which helped me to visualize things), pads it with 0's, then begins from 16 and searches it's surrounding "piles" for the next largest, and so forth.



                                  Upon conclusion, it does output a warning, but it is of no consequence and does not change the result.



                                  EDIT: -4 bytes by compressing the initialization of the matrix into 1 line






                                  share|improve this answer



























                                    up vote
                                    3
                                    down vote














                                    R, 128 124 bytes





                                    r=rbind(0,cbind(0,matrix(scan(),4,4),0),0)
                                    m=which(r==16)
                                    while(r[m]){r[m]=0
                                    m=which(r==max(r[m+c(-7:-5,-1,1,5:7)]))}
                                    sum(r)


                                    Try it online!



                                    TIO link is slightly different, I am still trying to figure out how to make it work.



                                    I do feel like I can golf a lot more out of this. But this works for now.



                                    It creates a 4x4 matrix (which helped me to visualize things), pads it with 0's, then begins from 16 and searches it's surrounding "piles" for the next largest, and so forth.



                                    Upon conclusion, it does output a warning, but it is of no consequence and does not change the result.



                                    EDIT: -4 bytes by compressing the initialization of the matrix into 1 line






                                    share|improve this answer

























                                      up vote
                                      3
                                      down vote










                                      up vote
                                      3
                                      down vote










                                      R, 128 124 bytes





                                      r=rbind(0,cbind(0,matrix(scan(),4,4),0),0)
                                      m=which(r==16)
                                      while(r[m]){r[m]=0
                                      m=which(r==max(r[m+c(-7:-5,-1,1,5:7)]))}
                                      sum(r)


                                      Try it online!



                                      TIO link is slightly different, I am still trying to figure out how to make it work.



                                      I do feel like I can golf a lot more out of this. But this works for now.



                                      It creates a 4x4 matrix (which helped me to visualize things), pads it with 0's, then begins from 16 and searches it's surrounding "piles" for the next largest, and so forth.



                                      Upon conclusion, it does output a warning, but it is of no consequence and does not change the result.



                                      EDIT: -4 bytes by compressing the initialization of the matrix into 1 line






                                      share|improve this answer















                                      R, 128 124 bytes





                                      r=rbind(0,cbind(0,matrix(scan(),4,4),0),0)
                                      m=which(r==16)
                                      while(r[m]){r[m]=0
                                      m=which(r==max(r[m+c(-7:-5,-1,1,5:7)]))}
                                      sum(r)


                                      Try it online!



                                      TIO link is slightly different, I am still trying to figure out how to make it work.



                                      I do feel like I can golf a lot more out of this. But this works for now.



                                      It creates a 4x4 matrix (which helped me to visualize things), pads it with 0's, then begins from 16 and searches it's surrounding "piles" for the next largest, and so forth.



                                      Upon conclusion, it does output a warning, but it is of no consequence and does not change the result.



                                      EDIT: -4 bytes by compressing the initialization of the matrix into 1 line







                                      share|improve this answer














                                      share|improve this answer



                                      share|improve this answer








                                      edited 21 hours ago

























                                      answered 21 hours ago









                                      Sumner18

                                      1915




                                      1915






















                                          up vote
                                          2
                                          down vote














                                          Charcoal, 47 bytes



                                          EA⭆ι§αλ≔QθW›θA«≔⌕KAθθJ﹪θ⁴÷θ⁴≔⌈KMθA»≔ΣEKA⌕αιθ⎚Iθ


                                          Try it online! Link is to verbose version of code. Explanation:



                                          EA⭆ι§αλ


                                          Convert the input numbers into alphabetic characters (A=0 .. Q=16) and print them as a 4x4 grid.



                                          ≔Qθ


                                          Start by eating the Q, i.e. 16.



                                          W›θA«


                                          Repeat while there is something to eat.



                                          ≔⌕KAθθ


                                          Find where the pile is. This is a linear view in row-major order.



                                          J﹪θ⁴÷θ⁴


                                          Convert to co-ordinates and jump to that location.



                                          ≔⌈KMθ


                                          Find the largest adjacent pile.






                                          Eat the current pile.



                                          ≔ΣEKA⌕αιθ


                                          Convert the piles back to integers and take the sum.



                                          ⎚Iθ


                                          Clear the canvas and output the result.






                                          share|improve this answer

























                                            up vote
                                            2
                                            down vote














                                            Charcoal, 47 bytes



                                            EA⭆ι§αλ≔QθW›θA«≔⌕KAθθJ﹪θ⁴÷θ⁴≔⌈KMθA»≔ΣEKA⌕αιθ⎚Iθ


                                            Try it online! Link is to verbose version of code. Explanation:



                                            EA⭆ι§αλ


                                            Convert the input numbers into alphabetic characters (A=0 .. Q=16) and print them as a 4x4 grid.



                                            ≔Qθ


                                            Start by eating the Q, i.e. 16.



                                            W›θA«


                                            Repeat while there is something to eat.



                                            ≔⌕KAθθ


                                            Find where the pile is. This is a linear view in row-major order.



                                            J﹪θ⁴÷θ⁴


                                            Convert to co-ordinates and jump to that location.



                                            ≔⌈KMθ


                                            Find the largest adjacent pile.






                                            Eat the current pile.



                                            ≔ΣEKA⌕αιθ


                                            Convert the piles back to integers and take the sum.



                                            ⎚Iθ


                                            Clear the canvas and output the result.






                                            share|improve this answer























                                              up vote
                                              2
                                              down vote










                                              up vote
                                              2
                                              down vote










                                              Charcoal, 47 bytes



                                              EA⭆ι§αλ≔QθW›θA«≔⌕KAθθJ﹪θ⁴÷θ⁴≔⌈KMθA»≔ΣEKA⌕αιθ⎚Iθ


                                              Try it online! Link is to verbose version of code. Explanation:



                                              EA⭆ι§αλ


                                              Convert the input numbers into alphabetic characters (A=0 .. Q=16) and print them as a 4x4 grid.



                                              ≔Qθ


                                              Start by eating the Q, i.e. 16.



                                              W›θA«


                                              Repeat while there is something to eat.



                                              ≔⌕KAθθ


                                              Find where the pile is. This is a linear view in row-major order.



                                              J﹪θ⁴÷θ⁴


                                              Convert to co-ordinates and jump to that location.



                                              ≔⌈KMθ


                                              Find the largest adjacent pile.






                                              Eat the current pile.



                                              ≔ΣEKA⌕αιθ


                                              Convert the piles back to integers and take the sum.



                                              ⎚Iθ


                                              Clear the canvas and output the result.






                                              share|improve this answer













                                              Charcoal, 47 bytes



                                              EA⭆ι§αλ≔QθW›θA«≔⌕KAθθJ﹪θ⁴÷θ⁴≔⌈KMθA»≔ΣEKA⌕αιθ⎚Iθ


                                              Try it online! Link is to verbose version of code. Explanation:



                                              EA⭆ι§αλ


                                              Convert the input numbers into alphabetic characters (A=0 .. Q=16) and print them as a 4x4 grid.



                                              ≔Qθ


                                              Start by eating the Q, i.e. 16.



                                              W›θA«


                                              Repeat while there is something to eat.



                                              ≔⌕KAθθ


                                              Find where the pile is. This is a linear view in row-major order.



                                              J﹪θ⁴÷θ⁴


                                              Convert to co-ordinates and jump to that location.



                                              ≔⌈KMθ


                                              Find the largest adjacent pile.






                                              Eat the current pile.



                                              ≔ΣEKA⌕αιθ


                                              Convert the piles back to integers and take the sum.



                                              ⎚Iθ


                                              Clear the canvas and output the result.







                                              share|improve this answer












                                              share|improve this answer



                                              share|improve this answer










                                              answered yesterday









                                              Neil

                                              78k744175




                                              78k744175






















                                                  up vote
                                                  2
                                                  down vote













                                                  JavaScript, 122 bytes



                                                  I took more than a couple of wrong turns on this one and now I've run out of time for further golfing but at least it's working. Will revisit tomorrow (or, knowing me, on the train home this evening!), if I can find a minute.



                                                  a=>(g=n=>n?g([-6,-5,-4,-1,1,4,5,6].map(x=>n=a[x+=i]>n?a[x]:n,a[i=a.indexOf(n)]=n=0)|n)-n:120)(16,a=a.flatMap(x=>[...x,0]))


                                                  Try it online






                                                  share|improve this answer

















                                                  • 1




                                                    +1 for flatMap() :p
                                                    – Arnauld
                                                    yesterday










                                                  • :D I think this is the first time I've used it for golf! Out of interest (and to give me a target when I come back to this), what was your score when you tried it?
                                                    – Shaggy
                                                    yesterday






                                                  • 1




                                                    I didn't try to golf it. Unless I have a specific trick in mind, I usually just write clean code to test my challenges.
                                                    – Arnauld
                                                    yesterday










                                                  • Ok, you've convinced me to try. :) I'm currently at <s>116</s> 114.
                                                    – Arnauld
                                                    23 hours ago












                                                  • 98 bytes after a good night's sleep. (Sorry about the multiple notifications.)
                                                    – Arnauld
                                                    10 hours ago















                                                  up vote
                                                  2
                                                  down vote













                                                  JavaScript, 122 bytes



                                                  I took more than a couple of wrong turns on this one and now I've run out of time for further golfing but at least it's working. Will revisit tomorrow (or, knowing me, on the train home this evening!), if I can find a minute.



                                                  a=>(g=n=>n?g([-6,-5,-4,-1,1,4,5,6].map(x=>n=a[x+=i]>n?a[x]:n,a[i=a.indexOf(n)]=n=0)|n)-n:120)(16,a=a.flatMap(x=>[...x,0]))


                                                  Try it online






                                                  share|improve this answer

















                                                  • 1




                                                    +1 for flatMap() :p
                                                    – Arnauld
                                                    yesterday










                                                  • :D I think this is the first time I've used it for golf! Out of interest (and to give me a target when I come back to this), what was your score when you tried it?
                                                    – Shaggy
                                                    yesterday






                                                  • 1




                                                    I didn't try to golf it. Unless I have a specific trick in mind, I usually just write clean code to test my challenges.
                                                    – Arnauld
                                                    yesterday










                                                  • Ok, you've convinced me to try. :) I'm currently at <s>116</s> 114.
                                                    – Arnauld
                                                    23 hours ago












                                                  • 98 bytes after a good night's sleep. (Sorry about the multiple notifications.)
                                                    – Arnauld
                                                    10 hours ago













                                                  up vote
                                                  2
                                                  down vote










                                                  up vote
                                                  2
                                                  down vote









                                                  JavaScript, 122 bytes



                                                  I took more than a couple of wrong turns on this one and now I've run out of time for further golfing but at least it's working. Will revisit tomorrow (or, knowing me, on the train home this evening!), if I can find a minute.



                                                  a=>(g=n=>n?g([-6,-5,-4,-1,1,4,5,6].map(x=>n=a[x+=i]>n?a[x]:n,a[i=a.indexOf(n)]=n=0)|n)-n:120)(16,a=a.flatMap(x=>[...x,0]))


                                                  Try it online






                                                  share|improve this answer












                                                  JavaScript, 122 bytes



                                                  I took more than a couple of wrong turns on this one and now I've run out of time for further golfing but at least it's working. Will revisit tomorrow (or, knowing me, on the train home this evening!), if I can find a minute.



                                                  a=>(g=n=>n?g([-6,-5,-4,-1,1,4,5,6].map(x=>n=a[x+=i]>n?a[x]:n,a[i=a.indexOf(n)]=n=0)|n)-n:120)(16,a=a.flatMap(x=>[...x,0]))


                                                  Try it online







                                                  share|improve this answer












                                                  share|improve this answer



                                                  share|improve this answer










                                                  answered yesterday









                                                  Shaggy

                                                  18.1k21663




                                                  18.1k21663








                                                  • 1




                                                    +1 for flatMap() :p
                                                    – Arnauld
                                                    yesterday










                                                  • :D I think this is the first time I've used it for golf! Out of interest (and to give me a target when I come back to this), what was your score when you tried it?
                                                    – Shaggy
                                                    yesterday






                                                  • 1




                                                    I didn't try to golf it. Unless I have a specific trick in mind, I usually just write clean code to test my challenges.
                                                    – Arnauld
                                                    yesterday










                                                  • Ok, you've convinced me to try. :) I'm currently at <s>116</s> 114.
                                                    – Arnauld
                                                    23 hours ago












                                                  • 98 bytes after a good night's sleep. (Sorry about the multiple notifications.)
                                                    – Arnauld
                                                    10 hours ago














                                                  • 1




                                                    +1 for flatMap() :p
                                                    – Arnauld
                                                    yesterday










                                                  • :D I think this is the first time I've used it for golf! Out of interest (and to give me a target when I come back to this), what was your score when you tried it?
                                                    – Shaggy
                                                    yesterday






                                                  • 1




                                                    I didn't try to golf it. Unless I have a specific trick in mind, I usually just write clean code to test my challenges.
                                                    – Arnauld
                                                    yesterday










                                                  • Ok, you've convinced me to try. :) I'm currently at <s>116</s> 114.
                                                    – Arnauld
                                                    23 hours ago












                                                  • 98 bytes after a good night's sleep. (Sorry about the multiple notifications.)
                                                    – Arnauld
                                                    10 hours ago








                                                  1




                                                  1




                                                  +1 for flatMap() :p
                                                  – Arnauld
                                                  yesterday




                                                  +1 for flatMap() :p
                                                  – Arnauld
                                                  yesterday












                                                  :D I think this is the first time I've used it for golf! Out of interest (and to give me a target when I come back to this), what was your score when you tried it?
                                                  – Shaggy
                                                  yesterday




                                                  :D I think this is the first time I've used it for golf! Out of interest (and to give me a target when I come back to this), what was your score when you tried it?
                                                  – Shaggy
                                                  yesterday




                                                  1




                                                  1




                                                  I didn't try to golf it. Unless I have a specific trick in mind, I usually just write clean code to test my challenges.
                                                  – Arnauld
                                                  yesterday




                                                  I didn't try to golf it. Unless I have a specific trick in mind, I usually just write clean code to test my challenges.
                                                  – Arnauld
                                                  yesterday












                                                  Ok, you've convinced me to try. :) I'm currently at <s>116</s> 114.
                                                  – Arnauld
                                                  23 hours ago






                                                  Ok, you've convinced me to try. :) I'm currently at <s>116</s> 114.
                                                  – Arnauld
                                                  23 hours ago














                                                  98 bytes after a good night's sleep. (Sorry about the multiple notifications.)
                                                  – Arnauld
                                                  10 hours ago




                                                  98 bytes after a good night's sleep. (Sorry about the multiple notifications.)
                                                  – Arnauld
                                                  10 hours ago










                                                  up vote
                                                  2
                                                  down vote













                                                  SAS, 236 219 bytes



                                                  Input on punch cards, one line per grid (space-separated), output printed to the log.



                                                  This challenge is slightly complicated by some limitations of arrays in SAS:




                                                  • There is no way to return the row and column indexes of a matching element from multidimensional data-step array - you have to treat the array as 1-d and then work them out for yourself.

                                                  • If you go out of bounds, SAS throws an error and halts processing rather than returning null / zero.


                                                  Updates:




                                                  • Removed infile cards; statement (-13)

                                                  • Used wildcard a: for array definition rather than a1-a16 (-4)


                                                  Golfed:



                                                  data;input a1-a16;array a[4,4]a:;p=16;t=136;do while(p);m=whichn(p,of a:);t=t-p;j=mod(m-1,4)+1;i=ceil(m/4);a[i,j]=0;p=0;do k=max(1,i-1)to min(i+1,4);do l=max(1,j-1)to min(j+1,4);p=max(p,a[k,l]);end;end;end;put t;cards;
                                                  <insert punch cards here>
                                                  ;


                                                  Ungolfed:



                                                  data;                /*Produce a dataset using automatic naming*/
                                                  input a1-a16; /*Read 16 variables*/
                                                  array a[4,4] a:; /*Assign to a 4x4 array*/
                                                  p=16; /*Initial pile to look for*/
                                                  t=136; /*Total cheese to decrement*/
                                                  do while(p); /*Stop if there are no piles available with size > 0*/
                                                  m=whichn(p,of a:); /*Find array element containing current pile size*/
                                                  t=t-p; /*Decrement total cheese*/
                                                  j=mod(m-1,4)+1; /*Get column number*/
                                                  i=ceil(m/4); /*Get row number*/
                                                  a[i,j]=0; /*Eat the current pile*/
                                                  /*Find the size of the largest adjacent pile*/
                                                  p=0;
                                                  do k=max(1,i-1)to min(i+1,4);
                                                  do l=max(1,j-1)to min(j+1,4);
                                                  p=max(p,a[k,l]);
                                                  end;
                                                  end;
                                                  end;
                                                  put t; /*Print total remaining cheese to log*/
                                                  /*Start of punch card input*/
                                                  cards;
                                                  4 3 2 1 5 6 7 8 12 11 10 9 13 14 15 16
                                                  8 1 9 14 11 6 5 16 13 15 2 7 10 3 12 4
                                                  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
                                                  10 15 14 11 9 3 1 7 13 5 12 6 2 8 4 16
                                                  3 7 10 5 6 8 12 13 15 9 11 4 14 1 16 2
                                                  8 9 3 6 13 11 7 15 12 10 16 2 4 14 1 5
                                                  8 11 12 9 14 5 10 16 7 3 1 6 13 4 2 15
                                                  13 14 1 2 16 15 3 4 5 6 7 8 9 10 11 12
                                                  9 10 11 12 1 2 4 13 7 8 5 14 3 16 6 15
                                                  9 10 11 12 1 2 7 13 6 16 4 14 3 8 5 15
                                                  ; /*End of punch card input*/
                                                  /*Implicit run;*/





                                                  share|improve this answer























                                                  • +1 for use of punch cards in PPCG :)
                                                    – GNiklasch
                                                    yesterday















                                                  up vote
                                                  2
                                                  down vote













                                                  SAS, 236 219 bytes



                                                  Input on punch cards, one line per grid (space-separated), output printed to the log.



                                                  This challenge is slightly complicated by some limitations of arrays in SAS:




                                                  • There is no way to return the row and column indexes of a matching element from multidimensional data-step array - you have to treat the array as 1-d and then work them out for yourself.

                                                  • If you go out of bounds, SAS throws an error and halts processing rather than returning null / zero.


                                                  Updates:




                                                  • Removed infile cards; statement (-13)

                                                  • Used wildcard a: for array definition rather than a1-a16 (-4)


                                                  Golfed:



                                                  data;input a1-a16;array a[4,4]a:;p=16;t=136;do while(p);m=whichn(p,of a:);t=t-p;j=mod(m-1,4)+1;i=ceil(m/4);a[i,j]=0;p=0;do k=max(1,i-1)to min(i+1,4);do l=max(1,j-1)to min(j+1,4);p=max(p,a[k,l]);end;end;end;put t;cards;
                                                  <insert punch cards here>
                                                  ;


                                                  Ungolfed:



                                                  data;                /*Produce a dataset using automatic naming*/
                                                  input a1-a16; /*Read 16 variables*/
                                                  array a[4,4] a:; /*Assign to a 4x4 array*/
                                                  p=16; /*Initial pile to look for*/
                                                  t=136; /*Total cheese to decrement*/
                                                  do while(p); /*Stop if there are no piles available with size > 0*/
                                                  m=whichn(p,of a:); /*Find array element containing current pile size*/
                                                  t=t-p; /*Decrement total cheese*/
                                                  j=mod(m-1,4)+1; /*Get column number*/
                                                  i=ceil(m/4); /*Get row number*/
                                                  a[i,j]=0; /*Eat the current pile*/
                                                  /*Find the size of the largest adjacent pile*/
                                                  p=0;
                                                  do k=max(1,i-1)to min(i+1,4);
                                                  do l=max(1,j-1)to min(j+1,4);
                                                  p=max(p,a[k,l]);
                                                  end;
                                                  end;
                                                  end;
                                                  put t; /*Print total remaining cheese to log*/
                                                  /*Start of punch card input*/
                                                  cards;
                                                  4 3 2 1 5 6 7 8 12 11 10 9 13 14 15 16
                                                  8 1 9 14 11 6 5 16 13 15 2 7 10 3 12 4
                                                  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
                                                  10 15 14 11 9 3 1 7 13 5 12 6 2 8 4 16
                                                  3 7 10 5 6 8 12 13 15 9 11 4 14 1 16 2
                                                  8 9 3 6 13 11 7 15 12 10 16 2 4 14 1 5
                                                  8 11 12 9 14 5 10 16 7 3 1 6 13 4 2 15
                                                  13 14 1 2 16 15 3 4 5 6 7 8 9 10 11 12
                                                  9 10 11 12 1 2 4 13 7 8 5 14 3 16 6 15
                                                  9 10 11 12 1 2 7 13 6 16 4 14 3 8 5 15
                                                  ; /*End of punch card input*/
                                                  /*Implicit run;*/





                                                  share|improve this answer























                                                  • +1 for use of punch cards in PPCG :)
                                                    – GNiklasch
                                                    yesterday













                                                  up vote
                                                  2
                                                  down vote










                                                  up vote
                                                  2
                                                  down vote









                                                  SAS, 236 219 bytes



                                                  Input on punch cards, one line per grid (space-separated), output printed to the log.



                                                  This challenge is slightly complicated by some limitations of arrays in SAS:




                                                  • There is no way to return the row and column indexes of a matching element from multidimensional data-step array - you have to treat the array as 1-d and then work them out for yourself.

                                                  • If you go out of bounds, SAS throws an error and halts processing rather than returning null / zero.


                                                  Updates:




                                                  • Removed infile cards; statement (-13)

                                                  • Used wildcard a: for array definition rather than a1-a16 (-4)


                                                  Golfed:



                                                  data;input a1-a16;array a[4,4]a:;p=16;t=136;do while(p);m=whichn(p,of a:);t=t-p;j=mod(m-1,4)+1;i=ceil(m/4);a[i,j]=0;p=0;do k=max(1,i-1)to min(i+1,4);do l=max(1,j-1)to min(j+1,4);p=max(p,a[k,l]);end;end;end;put t;cards;
                                                  <insert punch cards here>
                                                  ;


                                                  Ungolfed:



                                                  data;                /*Produce a dataset using automatic naming*/
                                                  input a1-a16; /*Read 16 variables*/
                                                  array a[4,4] a:; /*Assign to a 4x4 array*/
                                                  p=16; /*Initial pile to look for*/
                                                  t=136; /*Total cheese to decrement*/
                                                  do while(p); /*Stop if there are no piles available with size > 0*/
                                                  m=whichn(p,of a:); /*Find array element containing current pile size*/
                                                  t=t-p; /*Decrement total cheese*/
                                                  j=mod(m-1,4)+1; /*Get column number*/
                                                  i=ceil(m/4); /*Get row number*/
                                                  a[i,j]=0; /*Eat the current pile*/
                                                  /*Find the size of the largest adjacent pile*/
                                                  p=0;
                                                  do k=max(1,i-1)to min(i+1,4);
                                                  do l=max(1,j-1)to min(j+1,4);
                                                  p=max(p,a[k,l]);
                                                  end;
                                                  end;
                                                  end;
                                                  put t; /*Print total remaining cheese to log*/
                                                  /*Start of punch card input*/
                                                  cards;
                                                  4 3 2 1 5 6 7 8 12 11 10 9 13 14 15 16
                                                  8 1 9 14 11 6 5 16 13 15 2 7 10 3 12 4
                                                  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
                                                  10 15 14 11 9 3 1 7 13 5 12 6 2 8 4 16
                                                  3 7 10 5 6 8 12 13 15 9 11 4 14 1 16 2
                                                  8 9 3 6 13 11 7 15 12 10 16 2 4 14 1 5
                                                  8 11 12 9 14 5 10 16 7 3 1 6 13 4 2 15
                                                  13 14 1 2 16 15 3 4 5 6 7 8 9 10 11 12
                                                  9 10 11 12 1 2 4 13 7 8 5 14 3 16 6 15
                                                  9 10 11 12 1 2 7 13 6 16 4 14 3 8 5 15
                                                  ; /*End of punch card input*/
                                                  /*Implicit run;*/





                                                  share|improve this answer














                                                  SAS, 236 219 bytes



                                                  Input on punch cards, one line per grid (space-separated), output printed to the log.



                                                  This challenge is slightly complicated by some limitations of arrays in SAS:




                                                  • There is no way to return the row and column indexes of a matching element from multidimensional data-step array - you have to treat the array as 1-d and then work them out for yourself.

                                                  • If you go out of bounds, SAS throws an error and halts processing rather than returning null / zero.


                                                  Updates:




                                                  • Removed infile cards; statement (-13)

                                                  • Used wildcard a: for array definition rather than a1-a16 (-4)


                                                  Golfed:



                                                  data;input a1-a16;array a[4,4]a:;p=16;t=136;do while(p);m=whichn(p,of a:);t=t-p;j=mod(m-1,4)+1;i=ceil(m/4);a[i,j]=0;p=0;do k=max(1,i-1)to min(i+1,4);do l=max(1,j-1)to min(j+1,4);p=max(p,a[k,l]);end;end;end;put t;cards;
                                                  <insert punch cards here>
                                                  ;


                                                  Ungolfed:



                                                  data;                /*Produce a dataset using automatic naming*/
                                                  input a1-a16; /*Read 16 variables*/
                                                  array a[4,4] a:; /*Assign to a 4x4 array*/
                                                  p=16; /*Initial pile to look for*/
                                                  t=136; /*Total cheese to decrement*/
                                                  do while(p); /*Stop if there are no piles available with size > 0*/
                                                  m=whichn(p,of a:); /*Find array element containing current pile size*/
                                                  t=t-p; /*Decrement total cheese*/
                                                  j=mod(m-1,4)+1; /*Get column number*/
                                                  i=ceil(m/4); /*Get row number*/
                                                  a[i,j]=0; /*Eat the current pile*/
                                                  /*Find the size of the largest adjacent pile*/
                                                  p=0;
                                                  do k=max(1,i-1)to min(i+1,4);
                                                  do l=max(1,j-1)to min(j+1,4);
                                                  p=max(p,a[k,l]);
                                                  end;
                                                  end;
                                                  end;
                                                  put t; /*Print total remaining cheese to log*/
                                                  /*Start of punch card input*/
                                                  cards;
                                                  4 3 2 1 5 6 7 8 12 11 10 9 13 14 15 16
                                                  8 1 9 14 11 6 5 16 13 15 2 7 10 3 12 4
                                                  1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
                                                  10 15 14 11 9 3 1 7 13 5 12 6 2 8 4 16
                                                  3 7 10 5 6 8 12 13 15 9 11 4 14 1 16 2
                                                  8 9 3 6 13 11 7 15 12 10 16 2 4 14 1 5
                                                  8 11 12 9 14 5 10 16 7 3 1 6 13 4 2 15
                                                  13 14 1 2 16 15 3 4 5 6 7 8 9 10 11 12
                                                  9 10 11 12 1 2 4 13 7 8 5 14 3 16 6 15
                                                  9 10 11 12 1 2 7 13 6 16 4 14 3 8 5 15
                                                  ; /*End of punch card input*/
                                                  /*Implicit run;*/






                                                  share|improve this answer














                                                  share|improve this answer



                                                  share|improve this answer








                                                  edited 7 hours ago

























                                                  answered yesterday









                                                  user3490

                                                  76945




                                                  76945












                                                  • +1 for use of punch cards in PPCG :)
                                                    – GNiklasch
                                                    yesterday


















                                                  • +1 for use of punch cards in PPCG :)
                                                    – GNiklasch
                                                    yesterday
















                                                  +1 for use of punch cards in PPCG :)
                                                  – GNiklasch
                                                  yesterday




                                                  +1 for use of punch cards in PPCG :)
                                                  – GNiklasch
                                                  yesterday










                                                  up vote
                                                  1
                                                  down vote













                                                  J, 82 bytes



                                                  g=.](]*{:@[~:])]_1}~[:>./]{~((,-)1 5 6 7)+]i.{:
                                                  [:+/[:(g^:_)16,~[:,0,~0,0,0,.~0,.]


                                                  Try it online!



                                                  I plan to golf this more tomorrow, and perhaps write a more J-ish solution similar to this one, but I figured I'd try the flattened approach since I hadn't done that before.






                                                  share|improve this answer























                                                  • Do you really need the leftmost ] in g?
                                                    – Galen Ivanov
                                                    yesterday






                                                  • 1




                                                    Thanks Galen, you're right. It's the least of the issues with this code :) I have a much better solution which I'll implement when I have time.
                                                    – Jonah
                                                    17 hours ago















                                                  up vote
                                                  1
                                                  down vote













                                                  J, 82 bytes



                                                  g=.](]*{:@[~:])]_1}~[:>./]{~((,-)1 5 6 7)+]i.{:
                                                  [:+/[:(g^:_)16,~[:,0,~0,0,0,.~0,.]


                                                  Try it online!



                                                  I plan to golf this more tomorrow, and perhaps write a more J-ish solution similar to this one, but I figured I'd try the flattened approach since I hadn't done that before.






                                                  share|improve this answer























                                                  • Do you really need the leftmost ] in g?
                                                    – Galen Ivanov
                                                    yesterday






                                                  • 1




                                                    Thanks Galen, you're right. It's the least of the issues with this code :) I have a much better solution which I'll implement when I have time.
                                                    – Jonah
                                                    17 hours ago













                                                  up vote
                                                  1
                                                  down vote










                                                  up vote
                                                  1
                                                  down vote









                                                  J, 82 bytes



                                                  g=.](]*{:@[~:])]_1}~[:>./]{~((,-)1 5 6 7)+]i.{:
                                                  [:+/[:(g^:_)16,~[:,0,~0,0,0,.~0,.]


                                                  Try it online!



                                                  I plan to golf this more tomorrow, and perhaps write a more J-ish solution similar to this one, but I figured I'd try the flattened approach since I hadn't done that before.






                                                  share|improve this answer














                                                  J, 82 bytes



                                                  g=.](]*{:@[~:])]_1}~[:>./]{~((,-)1 5 6 7)+]i.{:
                                                  [:+/[:(g^:_)16,~[:,0,~0,0,0,.~0,.]


                                                  Try it online!



                                                  I plan to golf this more tomorrow, and perhaps write a more J-ish solution similar to this one, but I figured I'd try the flattened approach since I hadn't done that before.







                                                  share|improve this answer














                                                  share|improve this answer



                                                  share|improve this answer








                                                  edited yesterday

























                                                  answered yesterday









                                                  Jonah

                                                  1,951816




                                                  1,951816












                                                  • Do you really need the leftmost ] in g?
                                                    – Galen Ivanov
                                                    yesterday






                                                  • 1




                                                    Thanks Galen, you're right. It's the least of the issues with this code :) I have a much better solution which I'll implement when I have time.
                                                    – Jonah
                                                    17 hours ago


















                                                  • Do you really need the leftmost ] in g?
                                                    – Galen Ivanov
                                                    yesterday






                                                  • 1




                                                    Thanks Galen, you're right. It's the least of the issues with this code :) I have a much better solution which I'll implement when I have time.
                                                    – Jonah
                                                    17 hours ago
















                                                  Do you really need the leftmost ] in g?
                                                  – Galen Ivanov
                                                  yesterday




                                                  Do you really need the leftmost ] in g?
                                                  – Galen Ivanov
                                                  yesterday




                                                  1




                                                  1




                                                  Thanks Galen, you're right. It's the least of the issues with this code :) I have a much better solution which I'll implement when I have time.
                                                  – Jonah
                                                  17 hours ago




                                                  Thanks Galen, you're right. It's the least of the issues with this code :) I have a much better solution which I'll implement when I have time.
                                                  – Jonah
                                                  17 hours ago










                                                  up vote
                                                  1
                                                  down vote














                                                  Red, 277 bytes



                                                  func[a][k: 16 until[t:(index? find load form a k)- 1
                                                  p: do rejoin[t / 4 + 1"x"t % 4 + 1]a/(p/1)/(p/2): 0
                                                  m: 0 foreach d[-1 0x-1 1x-1 -1x0 1x0 -1x1 0x1 1][j: p + d
                                                  if all[j/1 > 0 j/1 < 5 j/2 > 0 j/2 < 5 m < t: a/(j/1)/(j/2)][m: t]]0 = k: m]s: 0
                                                  foreach n load form a[s: s + n]s]


                                                  Try it online!



                                                  It's really long solution and I'm not happy with it, but I spent so much time fixing it to work in TIO (apparently there are many differences between the Win and Linux stable versions of Red), so I post it anyway...



                                                  More readable:



                                                  f: func [ a ] [
                                                  k: 16
                                                  until [
                                                  t: (index? find load form a n) - 1
                                                  p: do rejoin [ t / 4 + 1 "x" t % 4 + 1 ]
                                                  a/(p/1)/(p/2): 0
                                                  m: 0
                                                  foreach d [ -1 0x-1 1x-1 -1x0 1x0 -1x1 0x1 1 ] [
                                                  j: p + d
                                                  if all[ j/1 > 0
                                                  j/1 < 5
                                                  j/2 > 0
                                                  j/2 < 5
                                                  m < t: a/(j/1)/(j/2)
                                                  ] [ m: t ]
                                                  ]
                                                  0 = k: m
                                                  ]
                                                  s: 0
                                                  foreach n load form a [ s: s + n ]
                                                  s
                                                  ]





                                                  share|improve this answer

























                                                    up vote
                                                    1
                                                    down vote














                                                    Red, 277 bytes



                                                    func[a][k: 16 until[t:(index? find load form a k)- 1
                                                    p: do rejoin[t / 4 + 1"x"t % 4 + 1]a/(p/1)/(p/2): 0
                                                    m: 0 foreach d[-1 0x-1 1x-1 -1x0 1x0 -1x1 0x1 1][j: p + d
                                                    if all[j/1 > 0 j/1 < 5 j/2 > 0 j/2 < 5 m < t: a/(j/1)/(j/2)][m: t]]0 = k: m]s: 0
                                                    foreach n load form a[s: s + n]s]


                                                    Try it online!



                                                    It's really long solution and I'm not happy with it, but I spent so much time fixing it to work in TIO (apparently there are many differences between the Win and Linux stable versions of Red), so I post it anyway...



                                                    More readable:



                                                    f: func [ a ] [
                                                    k: 16
                                                    until [
                                                    t: (index? find load form a n) - 1
                                                    p: do rejoin [ t / 4 + 1 "x" t % 4 + 1 ]
                                                    a/(p/1)/(p/2): 0
                                                    m: 0
                                                    foreach d [ -1 0x-1 1x-1 -1x0 1x0 -1x1 0x1 1 ] [
                                                    j: p + d
                                                    if all[ j/1 > 0
                                                    j/1 < 5
                                                    j/2 > 0
                                                    j/2 < 5
                                                    m < t: a/(j/1)/(j/2)
                                                    ] [ m: t ]
                                                    ]
                                                    0 = k: m
                                                    ]
                                                    s: 0
                                                    foreach n load form a [ s: s + n ]
                                                    s
                                                    ]





                                                    share|improve this answer























                                                      up vote
                                                      1
                                                      down vote










                                                      up vote
                                                      1
                                                      down vote










                                                      Red, 277 bytes



                                                      func[a][k: 16 until[t:(index? find load form a k)- 1
                                                      p: do rejoin[t / 4 + 1"x"t % 4 + 1]a/(p/1)/(p/2): 0
                                                      m: 0 foreach d[-1 0x-1 1x-1 -1x0 1x0 -1x1 0x1 1][j: p + d
                                                      if all[j/1 > 0 j/1 < 5 j/2 > 0 j/2 < 5 m < t: a/(j/1)/(j/2)][m: t]]0 = k: m]s: 0
                                                      foreach n load form a[s: s + n]s]


                                                      Try it online!



                                                      It's really long solution and I'm not happy with it, but I spent so much time fixing it to work in TIO (apparently there are many differences between the Win and Linux stable versions of Red), so I post it anyway...



                                                      More readable:



                                                      f: func [ a ] [
                                                      k: 16
                                                      until [
                                                      t: (index? find load form a n) - 1
                                                      p: do rejoin [ t / 4 + 1 "x" t % 4 + 1 ]
                                                      a/(p/1)/(p/2): 0
                                                      m: 0
                                                      foreach d [ -1 0x-1 1x-1 -1x0 1x0 -1x1 0x1 1 ] [
                                                      j: p + d
                                                      if all[ j/1 > 0
                                                      j/1 < 5
                                                      j/2 > 0
                                                      j/2 < 5
                                                      m < t: a/(j/1)/(j/2)
                                                      ] [ m: t ]
                                                      ]
                                                      0 = k: m
                                                      ]
                                                      s: 0
                                                      foreach n load form a [ s: s + n ]
                                                      s
                                                      ]





                                                      share|improve this answer













                                                      Red, 277 bytes



                                                      func[a][k: 16 until[t:(index? find load form a k)- 1
                                                      p: do rejoin[t / 4 + 1"x"t % 4 + 1]a/(p/1)/(p/2): 0
                                                      m: 0 foreach d[-1 0x-1 1x-1 -1x0 1x0 -1x1 0x1 1][j: p + d
                                                      if all[j/1 > 0 j/1 < 5 j/2 > 0 j/2 < 5 m < t: a/(j/1)/(j/2)][m: t]]0 = k: m]s: 0
                                                      foreach n load form a[s: s + n]s]


                                                      Try it online!



                                                      It's really long solution and I'm not happy with it, but I spent so much time fixing it to work in TIO (apparently there are many differences between the Win and Linux stable versions of Red), so I post it anyway...



                                                      More readable:



                                                      f: func [ a ] [
                                                      k: 16
                                                      until [
                                                      t: (index? find load form a n) - 1
                                                      p: do rejoin [ t / 4 + 1 "x" t % 4 + 1 ]
                                                      a/(p/1)/(p/2): 0
                                                      m: 0
                                                      foreach d [ -1 0x-1 1x-1 -1x0 1x0 -1x1 0x1 1 ] [
                                                      j: p + d
                                                      if all[ j/1 > 0
                                                      j/1 < 5
                                                      j/2 > 0
                                                      j/2 < 5
                                                      m < t: a/(j/1)/(j/2)
                                                      ] [ m: t ]
                                                      ]
                                                      0 = k: m
                                                      ]
                                                      s: 0
                                                      foreach n load form a [ s: s + n ]
                                                      s
                                                      ]






                                                      share|improve this answer












                                                      share|improve this answer



                                                      share|improve this answer










                                                      answered yesterday









                                                      Galen Ivanov

                                                      5,92711032




                                                      5,92711032






















                                                          up vote
                                                          1
                                                          down vote













                                                          Java 10, 272 bytes





                                                          m->{int r=0,c=0,R=4,C,M=1,x,y,X=0,Y=0;for(;R-->0;)for(C=4;C-->0;)if(m[R][C]>15)m[r=R][c=C]=0;for(;M!=0;m[r=X][c=Y]=0)for(M=-1,C=9;C-->0;)try{if((R=m[x=C<3?r-1:C>5?r+1:r][y=C%3<1?c-1:C%3>1?c+1:c])>M){M=R;X=x;Y=y;}}catch(Exception e){}for(var Z:m)for(int z:Z)M+=z;return M;}


                                                          The cells are checked the same as in my answer for the All the single eights challenge.



                                                          Try it online.



                                                          Explanation:



                                                          m->{                       // Method with integer-matrix parameter and integer return-type
                                                          int r=0, // Row-coordinate for the largest number, starting at 0
                                                          c=0, // Column-coordinate for the largest number, starting at 0
                                                          R=4,C, // Row and column indices (later reused as temp integers)
                                                          M=1, // Largest number the mouse just ate, starting at 1
                                                          x,y,X=0,Y=0; // Temp integers
                                                          for(;R-->0;) // Loop `R` in the range (4, 0]:
                                                          for(C=4;C-->0;) // Inner loop `C` in the range (4, 0]:
                                                          if(m[R][C]>15) // If the current cell is 16:
                                                          m[r=R][c=C] // Set `r,c` to this coordinate
                                                          =0; // And empty this cell
                                                          for(;M!=0; // Loop as long as the largest number isn't 0:
                                                          ; // After every iteration:
                                                          m[r=X][c=Y] // Change the `r,c` coordinates,
                                                          =0) // And empty this cell
                                                          for(M=-1, // Reset `M` to -1
                                                          C=9;C-->0;) // Inner loop `C` in the range (9, 0]:
                                                          try{if((R= // Set `R` to:
                                                          m[x=C<3? // If `C` is 0, 1, or 2:
                                                          r-1 // Look at the previous row
                                                          :C>5? // Else-if `C` is 6, 7, or 8:
                                                          r+1 // Look at the next row
                                                          : // Else (`C` is 3, 4, or 5):
                                                          r] // Look at the current row
                                                          [y=C%3<1? // If `C` is 0, 3, or 6:
                                                          c-1 // Look at the previous column
                                                          :C%3>1? // Else-if `C` is 2, 5, or 8:
                                                          c+1 // Look at the next column
                                                          : // Else (`C` is 1, 4, or 7):
                                                          c]) // Look at the current column
                                                          >M){ // And if the number in this cell is larger than `M`
                                                          M=R; // Change `M` to this number
                                                          X=x;Y=y;} // And change the `X,Y` coordinate to this cell
                                                          }catch(Exception e){}
                                                          // Catch and ignore ArrayIndexOutOfBoundsExceptions
                                                          // (try-catch saves bytes in comparison to if-checks)
                                                          for(var Z:m) // Then loop over all rows of the matrix:
                                                          for(int z:Z) // Inner loop over all columns of the matrix:
                                                          M+=z; // And sum them all together in `M` (which was 0)
                                                          return M;} // Then return this sum as result





                                                          share|improve this answer



























                                                            up vote
                                                            1
                                                            down vote













                                                            Java 10, 272 bytes





                                                            m->{int r=0,c=0,R=4,C,M=1,x,y,X=0,Y=0;for(;R-->0;)for(C=4;C-->0;)if(m[R][C]>15)m[r=R][c=C]=0;for(;M!=0;m[r=X][c=Y]=0)for(M=-1,C=9;C-->0;)try{if((R=m[x=C<3?r-1:C>5?r+1:r][y=C%3<1?c-1:C%3>1?c+1:c])>M){M=R;X=x;Y=y;}}catch(Exception e){}for(var Z:m)for(int z:Z)M+=z;return M;}


                                                            The cells are checked the same as in my answer for the All the single eights challenge.



                                                            Try it online.



                                                            Explanation:



                                                            m->{                       // Method with integer-matrix parameter and integer return-type
                                                            int r=0, // Row-coordinate for the largest number, starting at 0
                                                            c=0, // Column-coordinate for the largest number, starting at 0
                                                            R=4,C, // Row and column indices (later reused as temp integers)
                                                            M=1, // Largest number the mouse just ate, starting at 1
                                                            x,y,X=0,Y=0; // Temp integers
                                                            for(;R-->0;) // Loop `R` in the range (4, 0]:
                                                            for(C=4;C-->0;) // Inner loop `C` in the range (4, 0]:
                                                            if(m[R][C]>15) // If the current cell is 16:
                                                            m[r=R][c=C] // Set `r,c` to this coordinate
                                                            =0; // And empty this cell
                                                            for(;M!=0; // Loop as long as the largest number isn't 0:
                                                            ; // After every iteration:
                                                            m[r=X][c=Y] // Change the `r,c` coordinates,
                                                            =0) // And empty this cell
                                                            for(M=-1, // Reset `M` to -1
                                                            C=9;C-->0;) // Inner loop `C` in the range (9, 0]:
                                                            try{if((R= // Set `R` to:
                                                            m[x=C<3? // If `C` is 0, 1, or 2:
                                                            r-1 // Look at the previous row
                                                            :C>5? // Else-if `C` is 6, 7, or 8:
                                                            r+1 // Look at the next row
                                                            : // Else (`C` is 3, 4, or 5):
                                                            r] // Look at the current row
                                                            [y=C%3<1? // If `C` is 0, 3, or 6:
                                                            c-1 // Look at the previous column
                                                            :C%3>1? // Else-if `C` is 2, 5, or 8:
                                                            c+1 // Look at the next column
                                                            : // Else (`C` is 1, 4, or 7):
                                                            c]) // Look at the current column
                                                            >M){ // And if the number in this cell is larger than `M`
                                                            M=R; // Change `M` to this number
                                                            X=x;Y=y;} // And change the `X,Y` coordinate to this cell
                                                            }catch(Exception e){}
                                                            // Catch and ignore ArrayIndexOutOfBoundsExceptions
                                                            // (try-catch saves bytes in comparison to if-checks)
                                                            for(var Z:m) // Then loop over all rows of the matrix:
                                                            for(int z:Z) // Inner loop over all columns of the matrix:
                                                            M+=z; // And sum them all together in `M` (which was 0)
                                                            return M;} // Then return this sum as result





                                                            share|improve this answer

























                                                              up vote
                                                              1
                                                              down vote










                                                              up vote
                                                              1
                                                              down vote









                                                              Java 10, 272 bytes





                                                              m->{int r=0,c=0,R=4,C,M=1,x,y,X=0,Y=0;for(;R-->0;)for(C=4;C-->0;)if(m[R][C]>15)m[r=R][c=C]=0;for(;M!=0;m[r=X][c=Y]=0)for(M=-1,C=9;C-->0;)try{if((R=m[x=C<3?r-1:C>5?r+1:r][y=C%3<1?c-1:C%3>1?c+1:c])>M){M=R;X=x;Y=y;}}catch(Exception e){}for(var Z:m)for(int z:Z)M+=z;return M;}


                                                              The cells are checked the same as in my answer for the All the single eights challenge.



                                                              Try it online.



                                                              Explanation:



                                                              m->{                       // Method with integer-matrix parameter and integer return-type
                                                              int r=0, // Row-coordinate for the largest number, starting at 0
                                                              c=0, // Column-coordinate for the largest number, starting at 0
                                                              R=4,C, // Row and column indices (later reused as temp integers)
                                                              M=1, // Largest number the mouse just ate, starting at 1
                                                              x,y,X=0,Y=0; // Temp integers
                                                              for(;R-->0;) // Loop `R` in the range (4, 0]:
                                                              for(C=4;C-->0;) // Inner loop `C` in the range (4, 0]:
                                                              if(m[R][C]>15) // If the current cell is 16:
                                                              m[r=R][c=C] // Set `r,c` to this coordinate
                                                              =0; // And empty this cell
                                                              for(;M!=0; // Loop as long as the largest number isn't 0:
                                                              ; // After every iteration:
                                                              m[r=X][c=Y] // Change the `r,c` coordinates,
                                                              =0) // And empty this cell
                                                              for(M=-1, // Reset `M` to -1
                                                              C=9;C-->0;) // Inner loop `C` in the range (9, 0]:
                                                              try{if((R= // Set `R` to:
                                                              m[x=C<3? // If `C` is 0, 1, or 2:
                                                              r-1 // Look at the previous row
                                                              :C>5? // Else-if `C` is 6, 7, or 8:
                                                              r+1 // Look at the next row
                                                              : // Else (`C` is 3, 4, or 5):
                                                              r] // Look at the current row
                                                              [y=C%3<1? // If `C` is 0, 3, or 6:
                                                              c-1 // Look at the previous column
                                                              :C%3>1? // Else-if `C` is 2, 5, or 8:
                                                              c+1 // Look at the next column
                                                              : // Else (`C` is 1, 4, or 7):
                                                              c]) // Look at the current column
                                                              >M){ // And if the number in this cell is larger than `M`
                                                              M=R; // Change `M` to this number
                                                              X=x;Y=y;} // And change the `X,Y` coordinate to this cell
                                                              }catch(Exception e){}
                                                              // Catch and ignore ArrayIndexOutOfBoundsExceptions
                                                              // (try-catch saves bytes in comparison to if-checks)
                                                              for(var Z:m) // Then loop over all rows of the matrix:
                                                              for(int z:Z) // Inner loop over all columns of the matrix:
                                                              M+=z; // And sum them all together in `M` (which was 0)
                                                              return M;} // Then return this sum as result





                                                              share|improve this answer














                                                              Java 10, 272 bytes





                                                              m->{int r=0,c=0,R=4,C,M=1,x,y,X=0,Y=0;for(;R-->0;)for(C=4;C-->0;)if(m[R][C]>15)m[r=R][c=C]=0;for(;M!=0;m[r=X][c=Y]=0)for(M=-1,C=9;C-->0;)try{if((R=m[x=C<3?r-1:C>5?r+1:r][y=C%3<1?c-1:C%3>1?c+1:c])>M){M=R;X=x;Y=y;}}catch(Exception e){}for(var Z:m)for(int z:Z)M+=z;return M;}


                                                              The cells are checked the same as in my answer for the All the single eights challenge.



                                                              Try it online.



                                                              Explanation:



                                                              m->{                       // Method with integer-matrix parameter and integer return-type
                                                              int r=0, // Row-coordinate for the largest number, starting at 0
                                                              c=0, // Column-coordinate for the largest number, starting at 0
                                                              R=4,C, // Row and column indices (later reused as temp integers)
                                                              M=1, // Largest number the mouse just ate, starting at 1
                                                              x,y,X=0,Y=0; // Temp integers
                                                              for(;R-->0;) // Loop `R` in the range (4, 0]:
                                                              for(C=4;C-->0;) // Inner loop `C` in the range (4, 0]:
                                                              if(m[R][C]>15) // If the current cell is 16:
                                                              m[r=R][c=C] // Set `r,c` to this coordinate
                                                              =0; // And empty this cell
                                                              for(;M!=0; // Loop as long as the largest number isn't 0:
                                                              ; // After every iteration:
                                                              m[r=X][c=Y] // Change the `r,c` coordinates,
                                                              =0) // And empty this cell
                                                              for(M=-1, // Reset `M` to -1
                                                              C=9;C-->0;) // Inner loop `C` in the range (9, 0]:
                                                              try{if((R= // Set `R` to:
                                                              m[x=C<3? // If `C` is 0, 1, or 2:
                                                              r-1 // Look at the previous row
                                                              :C>5? // Else-if `C` is 6, 7, or 8:
                                                              r+1 // Look at the next row
                                                              : // Else (`C` is 3, 4, or 5):
                                                              r] // Look at the current row
                                                              [y=C%3<1? // If `C` is 0, 3, or 6:
                                                              c-1 // Look at the previous column
                                                              :C%3>1? // Else-if `C` is 2, 5, or 8:
                                                              c+1 // Look at the next column
                                                              : // Else (`C` is 1, 4, or 7):
                                                              c]) // Look at the current column
                                                              >M){ // And if the number in this cell is larger than `M`
                                                              M=R; // Change `M` to this number
                                                              X=x;Y=y;} // And change the `X,Y` coordinate to this cell
                                                              }catch(Exception e){}
                                                              // Catch and ignore ArrayIndexOutOfBoundsExceptions
                                                              // (try-catch saves bytes in comparison to if-checks)
                                                              for(var Z:m) // Then loop over all rows of the matrix:
                                                              for(int z:Z) // Inner loop over all columns of the matrix:
                                                              M+=z; // And sum them all together in `M` (which was 0)
                                                              return M;} // Then return this sum as result






                                                              share|improve this answer














                                                              share|improve this answer



                                                              share|improve this answer








                                                              edited yesterday

























                                                              answered yesterday









                                                              Kevin Cruijssen

                                                              34.3k554182




                                                              34.3k554182






















                                                                  up vote
                                                                  1
                                                                  down vote














                                                                  Jelly,  31 30  29 bytes



                                                                  ³œiⱮZIỊȦ
                                                                  ⁴ṖŒPŒ!€Ẏ⁴;ⱮṢÇƇṪ
                                                                  FḟÇS


                                                                  Since the method is far too slow to run within 60s with the mouse starting on 16 this starts her off at 9 and limits her ability such that she is only able to eat 9s or less Try it online! (thus here she eats 9, 2, 7, 4, 8, 6, 3 leaving 97).



                                                                  How?



                                                                  ³œiⱮZIỊȦ - Link 1, isSatisfactory?: list of integers, possiblePileChoice
                                                                  ³ - (using a left argument of) program's 3rd command line argument (M)
                                                                  Ɱ - map across (possiblePileChoice) with:
                                                                  œi - first multi-dimensional index of (the item) in (M)
                                                                  Z - transpose the resulting list of [row, column] values
                                                                  I - get the incremental differences
                                                                  Ị - insignificant? (vectorises an abs(v) <= 1 test)
                                                                  Ȧ - any and all? (0 if any 0s are present in the flattened result [or if it's empty])

                                                                  ⁴ṖŒPŒ!€Ẏ⁴;ⱮṢÇƇṪ - Link 2, getChosenPileList: list of lists of integers, M
                                                                  ⁴ - literal 16
                                                                  Ṗ - pop -> [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]
                                                                  ŒP - power-set -> [,[1],[2],...,[1,2],[1,3],...,[2,3,7],...,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]]
                                                                  € - for each:
                                                                  Œ! - all permutations
                                                                  Ẏ - tighten (to a single list of all these individual permutations)
                                                                  ⁴ - (using a left argument of) literal 16
                                                                  Ɱ - map across it with:
                                                                  ; - concatenate (put a 16 at the beginning of each one)
                                                                  Ṣ - sort the resulting list of lists
                                                                  Ƈ - filter keep those for which this is truthy:
                                                                  Ç - call last Link as a monad (i.e. isSatisfactory(possiblePileChoice)
                                                                  Ṫ - tail (get the right-most, i.e. the maximal satisfactory one)

                                                                  FḟÇS - Main Link: list of lists of integers, M
                                                                  F - flatten M
                                                                  Ç - call last Link (2) as a monad (i.e. get getChosenPileList(M))
                                                                  ḟ - filter discard (the resulting values) from (the flattened M)
                                                                  S - sum





                                                                  share|improve this answer























                                                                  • Ah yeah, power-set is not enough!
                                                                    – Jonathan Allan
                                                                    yesterday






                                                                  • 1




                                                                    @Arnauld - finally got a little time to golf :D This should work, but will be (way) too slow for running at TIO with the test case you used before.
                                                                    – Jonathan Allan
                                                                    yesterday















                                                                  up vote
                                                                  1
                                                                  down vote














                                                                  Jelly,  31 30  29 bytes



                                                                  ³œiⱮZIỊȦ
                                                                  ⁴ṖŒPŒ!€Ẏ⁴;ⱮṢÇƇṪ
                                                                  FḟÇS


                                                                  Since the method is far too slow to run within 60s with the mouse starting on 16 this starts her off at 9 and limits her ability such that she is only able to eat 9s or less Try it online! (thus here she eats 9, 2, 7, 4, 8, 6, 3 leaving 97).



                                                                  How?



                                                                  ³œiⱮZIỊȦ - Link 1, isSatisfactory?: list of integers, possiblePileChoice
                                                                  ³ - (using a left argument of) program's 3rd command line argument (M)
                                                                  Ɱ - map across (possiblePileChoice) with:
                                                                  œi - first multi-dimensional index of (the item) in (M)
                                                                  Z - transpose the resulting list of [row, column] values
                                                                  I - get the incremental differences
                                                                  Ị - insignificant? (vectorises an abs(v) <= 1 test)
                                                                  Ȧ - any and all? (0 if any 0s are present in the flattened result [or if it's empty])

                                                                  ⁴ṖŒPŒ!€Ẏ⁴;ⱮṢÇƇṪ - Link 2, getChosenPileList: list of lists of integers, M
                                                                  ⁴ - literal 16
                                                                  Ṗ - pop -> [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]
                                                                  ŒP - power-set -> [,[1],[2],...,[1,2],[1,3],...,[2,3,7],...,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]]
                                                                  € - for each:
                                                                  Œ! - all permutations
                                                                  Ẏ - tighten (to a single list of all these individual permutations)
                                                                  ⁴ - (using a left argument of) literal 16
                                                                  Ɱ - map across it with:
                                                                  ; - concatenate (put a 16 at the beginning of each one)
                                                                  Ṣ - sort the resulting list of lists
                                                                  Ƈ - filter keep those for which this is truthy:
                                                                  Ç - call last Link as a monad (i.e. isSatisfactory(possiblePileChoice)
                                                                  Ṫ - tail (get the right-most, i.e. the maximal satisfactory one)

                                                                  FḟÇS - Main Link: list of lists of integers, M
                                                                  F - flatten M
                                                                  Ç - call last Link (2) as a monad (i.e. get getChosenPileList(M))
                                                                  ḟ - filter discard (the resulting values) from (the flattened M)
                                                                  S - sum





                                                                  share|improve this answer























                                                                  • Ah yeah, power-set is not enough!
                                                                    – Jonathan Allan
                                                                    yesterday






                                                                  • 1




                                                                    @Arnauld - finally got a little time to golf :D This should work, but will be (way) too slow for running at TIO with the test case you used before.
                                                                    – Jonathan Allan
                                                                    yesterday













                                                                  up vote
                                                                  1
                                                                  down vote










                                                                  up vote
                                                                  1
                                                                  down vote










                                                                  Jelly,  31 30  29 bytes



                                                                  ³œiⱮZIỊȦ
                                                                  ⁴ṖŒPŒ!€Ẏ⁴;ⱮṢÇƇṪ
                                                                  FḟÇS


                                                                  Since the method is far too slow to run within 60s with the mouse starting on 16 this starts her off at 9 and limits her ability such that she is only able to eat 9s or less Try it online! (thus here she eats 9, 2, 7, 4, 8, 6, 3 leaving 97).



                                                                  How?



                                                                  ³œiⱮZIỊȦ - Link 1, isSatisfactory?: list of integers, possiblePileChoice
                                                                  ³ - (using a left argument of) program's 3rd command line argument (M)
                                                                  Ɱ - map across (possiblePileChoice) with:
                                                                  œi - first multi-dimensional index of (the item) in (M)
                                                                  Z - transpose the resulting list of [row, column] values
                                                                  I - get the incremental differences
                                                                  Ị - insignificant? (vectorises an abs(v) <= 1 test)
                                                                  Ȧ - any and all? (0 if any 0s are present in the flattened result [or if it's empty])

                                                                  ⁴ṖŒPŒ!€Ẏ⁴;ⱮṢÇƇṪ - Link 2, getChosenPileList: list of lists of integers, M
                                                                  ⁴ - literal 16
                                                                  Ṗ - pop -> [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]
                                                                  ŒP - power-set -> [,[1],[2],...,[1,2],[1,3],...,[2,3,7],...,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]]
                                                                  € - for each:
                                                                  Œ! - all permutations
                                                                  Ẏ - tighten (to a single list of all these individual permutations)
                                                                  ⁴ - (using a left argument of) literal 16
                                                                  Ɱ - map across it with:
                                                                  ; - concatenate (put a 16 at the beginning of each one)
                                                                  Ṣ - sort the resulting list of lists
                                                                  Ƈ - filter keep those for which this is truthy:
                                                                  Ç - call last Link as a monad (i.e. isSatisfactory(possiblePileChoice)
                                                                  Ṫ - tail (get the right-most, i.e. the maximal satisfactory one)

                                                                  FḟÇS - Main Link: list of lists of integers, M
                                                                  F - flatten M
                                                                  Ç - call last Link (2) as a monad (i.e. get getChosenPileList(M))
                                                                  ḟ - filter discard (the resulting values) from (the flattened M)
                                                                  S - sum





                                                                  share|improve this answer















                                                                  Jelly,  31 30  29 bytes



                                                                  ³œiⱮZIỊȦ
                                                                  ⁴ṖŒPŒ!€Ẏ⁴;ⱮṢÇƇṪ
                                                                  FḟÇS


                                                                  Since the method is far too slow to run within 60s with the mouse starting on 16 this starts her off at 9 and limits her ability such that she is only able to eat 9s or less Try it online! (thus here she eats 9, 2, 7, 4, 8, 6, 3 leaving 97).



                                                                  How?



                                                                  ³œiⱮZIỊȦ - Link 1, isSatisfactory?: list of integers, possiblePileChoice
                                                                  ³ - (using a left argument of) program's 3rd command line argument (M)
                                                                  Ɱ - map across (possiblePileChoice) with:
                                                                  œi - first multi-dimensional index of (the item) in (M)
                                                                  Z - transpose the resulting list of [row, column] values
                                                                  I - get the incremental differences
                                                                  Ị - insignificant? (vectorises an abs(v) <= 1 test)
                                                                  Ȧ - any and all? (0 if any 0s are present in the flattened result [or if it's empty])

                                                                  ⁴ṖŒPŒ!€Ẏ⁴;ⱮṢÇƇṪ - Link 2, getChosenPileList: list of lists of integers, M
                                                                  ⁴ - literal 16
                                                                  Ṗ - pop -> [1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]
                                                                  ŒP - power-set -> [,[1],[2],...,[1,2],[1,3],...,[2,3,7],...,[1,2,3,4,5,6,7,8,9,10,11,12,13,14,15]]
                                                                  € - for each:
                                                                  Œ! - all permutations
                                                                  Ẏ - tighten (to a single list of all these individual permutations)
                                                                  ⁴ - (using a left argument of) literal 16
                                                                  Ɱ - map across it with:
                                                                  ; - concatenate (put a 16 at the beginning of each one)
                                                                  Ṣ - sort the resulting list of lists
                                                                  Ƈ - filter keep those for which this is truthy:
                                                                  Ç - call last Link as a monad (i.e. isSatisfactory(possiblePileChoice)
                                                                  Ṫ - tail (get the right-most, i.e. the maximal satisfactory one)

                                                                  FḟÇS - Main Link: list of lists of integers, M
                                                                  F - flatten M
                                                                  Ç - call last Link (2) as a monad (i.e. get getChosenPileList(M))
                                                                  ḟ - filter discard (the resulting values) from (the flattened M)
                                                                  S - sum






                                                                  share|improve this answer














                                                                  share|improve this answer



                                                                  share|improve this answer








                                                                  edited yesterday

























                                                                  answered yesterday









                                                                  Jonathan Allan

                                                                  50k534164




                                                                  50k534164












                                                                  • Ah yeah, power-set is not enough!
                                                                    – Jonathan Allan
                                                                    yesterday






                                                                  • 1




                                                                    @Arnauld - finally got a little time to golf :D This should work, but will be (way) too slow for running at TIO with the test case you used before.
                                                                    – Jonathan Allan
                                                                    yesterday


















                                                                  • Ah yeah, power-set is not enough!
                                                                    – Jonathan Allan
                                                                    yesterday






                                                                  • 1




                                                                    @Arnauld - finally got a little time to golf :D This should work, but will be (way) too slow for running at TIO with the test case you used before.
                                                                    – Jonathan Allan
                                                                    yesterday
















                                                                  Ah yeah, power-set is not enough!
                                                                  – Jonathan Allan
                                                                  yesterday




                                                                  Ah yeah, power-set is not enough!
                                                                  – Jonathan Allan
                                                                  yesterday




                                                                  1




                                                                  1




                                                                  @Arnauld - finally got a little time to golf :D This should work, but will be (way) too slow for running at TIO with the test case you used before.
                                                                  – Jonathan Allan
                                                                  yesterday




                                                                  @Arnauld - finally got a little time to golf :D This should work, but will be (way) too slow for running at TIO with the test case you used before.
                                                                  – Jonathan Allan
                                                                  yesterday










                                                                  up vote
                                                                  1
                                                                  down vote













                                                                  Not my best work. There's some definite improvements to be done, some probably fundamental to the algorithm used -- I'm sure it can be improved by using only an int, but I couldn't figure out how to efficiently enumerate neighbors that way. I'd love to see a PowerShell solution that uses only a single dimensional array!




                                                                  PowerShell Core, 348 bytes





                                                                  Function F($o){$t=120;$a=@{-1=,0*4;4=,0*4};0..3|%{$a[$_]=[int](-join$o[(3+18*$_)..(3+18*$_+13)]-split',')+,0};$m=16;while($m-gt0){0..3|%{$i=$_;0..3|%{if($a[$i][$_]-eq$m){$r=$i;$c=$_}}};$m=($a[$r-1][$c-1],$a[$r-1][$c],$a[$r-1][$c+1],$a[$r][$c+1],$a[$r][$c-1],$a[$r+1][$c-1],$a[$r+1][$c],$a[$r+1][$c+1]|Measure -Max).Maximum;$t-=$m;$a[$r][$c]=0}$t}


                                                                  Try it online!





                                                                  More readable version:



                                                                  Function F($o){
                                                                  $t=120;
                                                                  $a=@{-1=,0*4;4=,0*4};
                                                                  0..3|%{$a[$_]=[int](-join$o[(3+18*$_)..(3+18*$_+13)]-split',')+,0};
                                                                  $m=16;
                                                                  while($m-gt0){
                                                                  0..3|%{$i=$_;0..3|%{if($a[$i][$_]-eq$m){$r=$i;$c=$_}}};
                                                                  $m=($a[$r-1][$c-1],$a[$r-1][$c],$a[$r-1][$c+1],$a[$r][$c+1],$a[$r][$c-1],$a[$r+1][$c-1],$a[$r+1][$c],$a[$r+1][$c+1]|Measure -Max).Maximum;
                                                                  $t-=$m;
                                                                  $a[$r][$c]=0
                                                                  }
                                                                  $t
                                                                  }





                                                                  share|improve this answer

























                                                                    up vote
                                                                    1
                                                                    down vote













                                                                    Not my best work. There's some definite improvements to be done, some probably fundamental to the algorithm used -- I'm sure it can be improved by using only an int, but I couldn't figure out how to efficiently enumerate neighbors that way. I'd love to see a PowerShell solution that uses only a single dimensional array!




                                                                    PowerShell Core, 348 bytes





                                                                    Function F($o){$t=120;$a=@{-1=,0*4;4=,0*4};0..3|%{$a[$_]=[int](-join$o[(3+18*$_)..(3+18*$_+13)]-split',')+,0};$m=16;while($m-gt0){0..3|%{$i=$_;0..3|%{if($a[$i][$_]-eq$m){$r=$i;$c=$_}}};$m=($a[$r-1][$c-1],$a[$r-1][$c],$a[$r-1][$c+1],$a[$r][$c+1],$a[$r][$c-1],$a[$r+1][$c-1],$a[$r+1][$c],$a[$r+1][$c+1]|Measure -Max).Maximum;$t-=$m;$a[$r][$c]=0}$t}


                                                                    Try it online!





                                                                    More readable version:



                                                                    Function F($o){
                                                                    $t=120;
                                                                    $a=@{-1=,0*4;4=,0*4};
                                                                    0..3|%{$a[$_]=[int](-join$o[(3+18*$_)..(3+18*$_+13)]-split',')+,0};
                                                                    $m=16;
                                                                    while($m-gt0){
                                                                    0..3|%{$i=$_;0..3|%{if($a[$i][$_]-eq$m){$r=$i;$c=$_}}};
                                                                    $m=($a[$r-1][$c-1],$a[$r-1][$c],$a[$r-1][$c+1],$a[$r][$c+1],$a[$r][$c-1],$a[$r+1][$c-1],$a[$r+1][$c],$a[$r+1][$c+1]|Measure -Max).Maximum;
                                                                    $t-=$m;
                                                                    $a[$r][$c]=0
                                                                    }
                                                                    $t
                                                                    }





                                                                    share|improve this answer























                                                                      up vote
                                                                      1
                                                                      down vote










                                                                      up vote
                                                                      1
                                                                      down vote









                                                                      Not my best work. There's some definite improvements to be done, some probably fundamental to the algorithm used -- I'm sure it can be improved by using only an int, but I couldn't figure out how to efficiently enumerate neighbors that way. I'd love to see a PowerShell solution that uses only a single dimensional array!




                                                                      PowerShell Core, 348 bytes





                                                                      Function F($o){$t=120;$a=@{-1=,0*4;4=,0*4};0..3|%{$a[$_]=[int](-join$o[(3+18*$_)..(3+18*$_+13)]-split',')+,0};$m=16;while($m-gt0){0..3|%{$i=$_;0..3|%{if($a[$i][$_]-eq$m){$r=$i;$c=$_}}};$m=($a[$r-1][$c-1],$a[$r-1][$c],$a[$r-1][$c+1],$a[$r][$c+1],$a[$r][$c-1],$a[$r+1][$c-1],$a[$r+1][$c],$a[$r+1][$c+1]|Measure -Max).Maximum;$t-=$m;$a[$r][$c]=0}$t}


                                                                      Try it online!





                                                                      More readable version:



                                                                      Function F($o){
                                                                      $t=120;
                                                                      $a=@{-1=,0*4;4=,0*4};
                                                                      0..3|%{$a[$_]=[int](-join$o[(3+18*$_)..(3+18*$_+13)]-split',')+,0};
                                                                      $m=16;
                                                                      while($m-gt0){
                                                                      0..3|%{$i=$_;0..3|%{if($a[$i][$_]-eq$m){$r=$i;$c=$_}}};
                                                                      $m=($a[$r-1][$c-1],$a[$r-1][$c],$a[$r-1][$c+1],$a[$r][$c+1],$a[$r][$c-1],$a[$r+1][$c-1],$a[$r+1][$c],$a[$r+1][$c+1]|Measure -Max).Maximum;
                                                                      $t-=$m;
                                                                      $a[$r][$c]=0
                                                                      }
                                                                      $t
                                                                      }





                                                                      share|improve this answer












                                                                      Not my best work. There's some definite improvements to be done, some probably fundamental to the algorithm used -- I'm sure it can be improved by using only an int, but I couldn't figure out how to efficiently enumerate neighbors that way. I'd love to see a PowerShell solution that uses only a single dimensional array!




                                                                      PowerShell Core, 348 bytes





                                                                      Function F($o){$t=120;$a=@{-1=,0*4;4=,0*4};0..3|%{$a[$_]=[int](-join$o[(3+18*$_)..(3+18*$_+13)]-split',')+,0};$m=16;while($m-gt0){0..3|%{$i=$_;0..3|%{if($a[$i][$_]-eq$m){$r=$i;$c=$_}}};$m=($a[$r-1][$c-1],$a[$r-1][$c],$a[$r-1][$c+1],$a[$r][$c+1],$a[$r][$c-1],$a[$r+1][$c-1],$a[$r+1][$c],$a[$r+1][$c+1]|Measure -Max).Maximum;$t-=$m;$a[$r][$c]=0}$t}


                                                                      Try it online!





                                                                      More readable version:



                                                                      Function F($o){
                                                                      $t=120;
                                                                      $a=@{-1=,0*4;4=,0*4};
                                                                      0..3|%{$a[$_]=[int](-join$o[(3+18*$_)..(3+18*$_+13)]-split',')+,0};
                                                                      $m=16;
                                                                      while($m-gt0){
                                                                      0..3|%{$i=$_;0..3|%{if($a[$i][$_]-eq$m){$r=$i;$c=$_}}};
                                                                      $m=($a[$r-1][$c-1],$a[$r-1][$c],$a[$r-1][$c+1],$a[$r][$c+1],$a[$r][$c-1],$a[$r+1][$c-1],$a[$r+1][$c],$a[$r+1][$c+1]|Measure -Max).Maximum;
                                                                      $t-=$m;
                                                                      $a[$r][$c]=0
                                                                      }
                                                                      $t
                                                                      }






                                                                      share|improve this answer












                                                                      share|improve this answer



                                                                      share|improve this answer










                                                                      answered 23 hours ago









                                                                      Jeff Freeman

                                                                      20114




                                                                      20114






















                                                                          up vote
                                                                          1
                                                                          down vote













                                                                          Powershell, 143 141 136 130 122 121 bytes





                                                                          $a=,0*5+($args|%{$_+0})
                                                                          for($n=16;$i=$a.IndexOf($n)){$a[$i]=0
                                                                          $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]}$a|%{$s+=$_}
                                                                          $s


                                                                          Less golfed test script:



                                                                          $f = {

                                                                          $a=,0*5+($args|%{$_+0})
                                                                          for($n=16;$i=$a.IndexOf($n)){
                                                                          $a[$i]=0
                                                                          $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]
                                                                          }
                                                                          $a|%{$s+=$_}
                                                                          $s

                                                                          }

                                                                          @(
                                                                          ,( 0 , ( 4, 3, 2, 1), ( 5, 6, 7, 8), (12, 11, 10, 9), (13, 14, 15, 16) )
                                                                          ,( 0 , ( 8, 1, 9, 14), (11, 6, 5, 16), (13, 15, 2, 7), (10, 3, 12, 4) )
                                                                          ,( 1 , ( 1, 2, 3, 4), ( 5, 6, 7, 8), ( 9, 10, 11, 12), (13, 14, 15, 16) )
                                                                          ,( 3 , (10, 15, 14, 11), ( 9, 3, 1, 7), (13, 5, 12, 6), ( 2, 8, 4, 16) )
                                                                          ,( 12 , ( 3, 7, 10, 5), ( 6, 8, 12, 13), (15, 9, 11, 4), (14, 1, 16, 2) )
                                                                          ,( 34 , ( 8, 9, 3, 6), (13, 11, 7, 15), (12, 10, 16, 2), ( 4, 14, 1, 5) )
                                                                          ,( 51 , ( 8, 11, 12, 9), (14, 5, 10, 16), ( 7, 3, 1, 6), (13, 4, 2, 15) )
                                                                          ,( 78 , (13, 14, 1, 2), (16, 15, 3, 4), ( 5, 6, 7, 8), ( 9, 10, 11, 12) )
                                                                          ,( 102, ( 9, 10, 11, 12), ( 1, 2, 4, 13), ( 7, 8, 5, 14), ( 3, 16, 6, 15) )
                                                                          ,( 103, ( 9, 10, 11, 12), ( 1, 2, 7, 13), ( 6, 16, 4, 14), ( 3, 8, 5, 15) )
                                                                          ) | % {
                                                                          $expected, $a = $_
                                                                          $result = &$f @a
                                                                          "$($result-eq$expected): $result"
                                                                          }


                                                                          Output:



                                                                          True: 0
                                                                          True: 0
                                                                          True: 1
                                                                          True: 3
                                                                          True: 12
                                                                          True: 34
                                                                          True: 51
                                                                          True: 78
                                                                          True: 102
                                                                          True: 103


                                                                          Explanation:



                                                                          First, add top and bottom borders of 0 and make a single dimensional array:





                                                                          0 0 0 0 0
                                                                          # # # # 0
                                                                          # # # # 0
                                                                          # # # # 0
                                                                          # # # # 0



                                                                          0 0 0 0 0 # # # # 0 # # # # 0 # # # # 0 # # # # 0


                                                                          Powershell returns $null if you try to get the value behind the end of the array.



                                                                          Second, loop biggest neighbor pile started from 16 to non-zero-maximum. And nullify it (The Hungry Mouse eats it).





                                                                          for($n=16;$i=$a.IndexOf($n)){
                                                                          $a[$i]=0
                                                                          $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]
                                                                          }


                                                                          Third, sum of the remaining piles.






                                                                          share|improve this answer



























                                                                            up vote
                                                                            1
                                                                            down vote













                                                                            Powershell, 143 141 136 130 122 121 bytes





                                                                            $a=,0*5+($args|%{$_+0})
                                                                            for($n=16;$i=$a.IndexOf($n)){$a[$i]=0
                                                                            $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]}$a|%{$s+=$_}
                                                                            $s


                                                                            Less golfed test script:



                                                                            $f = {

                                                                            $a=,0*5+($args|%{$_+0})
                                                                            for($n=16;$i=$a.IndexOf($n)){
                                                                            $a[$i]=0
                                                                            $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]
                                                                            }
                                                                            $a|%{$s+=$_}
                                                                            $s

                                                                            }

                                                                            @(
                                                                            ,( 0 , ( 4, 3, 2, 1), ( 5, 6, 7, 8), (12, 11, 10, 9), (13, 14, 15, 16) )
                                                                            ,( 0 , ( 8, 1, 9, 14), (11, 6, 5, 16), (13, 15, 2, 7), (10, 3, 12, 4) )
                                                                            ,( 1 , ( 1, 2, 3, 4), ( 5, 6, 7, 8), ( 9, 10, 11, 12), (13, 14, 15, 16) )
                                                                            ,( 3 , (10, 15, 14, 11), ( 9, 3, 1, 7), (13, 5, 12, 6), ( 2, 8, 4, 16) )
                                                                            ,( 12 , ( 3, 7, 10, 5), ( 6, 8, 12, 13), (15, 9, 11, 4), (14, 1, 16, 2) )
                                                                            ,( 34 , ( 8, 9, 3, 6), (13, 11, 7, 15), (12, 10, 16, 2), ( 4, 14, 1, 5) )
                                                                            ,( 51 , ( 8, 11, 12, 9), (14, 5, 10, 16), ( 7, 3, 1, 6), (13, 4, 2, 15) )
                                                                            ,( 78 , (13, 14, 1, 2), (16, 15, 3, 4), ( 5, 6, 7, 8), ( 9, 10, 11, 12) )
                                                                            ,( 102, ( 9, 10, 11, 12), ( 1, 2, 4, 13), ( 7, 8, 5, 14), ( 3, 16, 6, 15) )
                                                                            ,( 103, ( 9, 10, 11, 12), ( 1, 2, 7, 13), ( 6, 16, 4, 14), ( 3, 8, 5, 15) )
                                                                            ) | % {
                                                                            $expected, $a = $_
                                                                            $result = &$f @a
                                                                            "$($result-eq$expected): $result"
                                                                            }


                                                                            Output:



                                                                            True: 0
                                                                            True: 0
                                                                            True: 1
                                                                            True: 3
                                                                            True: 12
                                                                            True: 34
                                                                            True: 51
                                                                            True: 78
                                                                            True: 102
                                                                            True: 103


                                                                            Explanation:



                                                                            First, add top and bottom borders of 0 and make a single dimensional array:





                                                                            0 0 0 0 0
                                                                            # # # # 0
                                                                            # # # # 0
                                                                            # # # # 0
                                                                            # # # # 0



                                                                            0 0 0 0 0 # # # # 0 # # # # 0 # # # # 0 # # # # 0


                                                                            Powershell returns $null if you try to get the value behind the end of the array.



                                                                            Second, loop biggest neighbor pile started from 16 to non-zero-maximum. And nullify it (The Hungry Mouse eats it).





                                                                            for($n=16;$i=$a.IndexOf($n)){
                                                                            $a[$i]=0
                                                                            $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]
                                                                            }


                                                                            Third, sum of the remaining piles.






                                                                            share|improve this answer

























                                                                              up vote
                                                                              1
                                                                              down vote










                                                                              up vote
                                                                              1
                                                                              down vote









                                                                              Powershell, 143 141 136 130 122 121 bytes





                                                                              $a=,0*5+($args|%{$_+0})
                                                                              for($n=16;$i=$a.IndexOf($n)){$a[$i]=0
                                                                              $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]}$a|%{$s+=$_}
                                                                              $s


                                                                              Less golfed test script:



                                                                              $f = {

                                                                              $a=,0*5+($args|%{$_+0})
                                                                              for($n=16;$i=$a.IndexOf($n)){
                                                                              $a[$i]=0
                                                                              $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]
                                                                              }
                                                                              $a|%{$s+=$_}
                                                                              $s

                                                                              }

                                                                              @(
                                                                              ,( 0 , ( 4, 3, 2, 1), ( 5, 6, 7, 8), (12, 11, 10, 9), (13, 14, 15, 16) )
                                                                              ,( 0 , ( 8, 1, 9, 14), (11, 6, 5, 16), (13, 15, 2, 7), (10, 3, 12, 4) )
                                                                              ,( 1 , ( 1, 2, 3, 4), ( 5, 6, 7, 8), ( 9, 10, 11, 12), (13, 14, 15, 16) )
                                                                              ,( 3 , (10, 15, 14, 11), ( 9, 3, 1, 7), (13, 5, 12, 6), ( 2, 8, 4, 16) )
                                                                              ,( 12 , ( 3, 7, 10, 5), ( 6, 8, 12, 13), (15, 9, 11, 4), (14, 1, 16, 2) )
                                                                              ,( 34 , ( 8, 9, 3, 6), (13, 11, 7, 15), (12, 10, 16, 2), ( 4, 14, 1, 5) )
                                                                              ,( 51 , ( 8, 11, 12, 9), (14, 5, 10, 16), ( 7, 3, 1, 6), (13, 4, 2, 15) )
                                                                              ,( 78 , (13, 14, 1, 2), (16, 15, 3, 4), ( 5, 6, 7, 8), ( 9, 10, 11, 12) )
                                                                              ,( 102, ( 9, 10, 11, 12), ( 1, 2, 4, 13), ( 7, 8, 5, 14), ( 3, 16, 6, 15) )
                                                                              ,( 103, ( 9, 10, 11, 12), ( 1, 2, 7, 13), ( 6, 16, 4, 14), ( 3, 8, 5, 15) )
                                                                              ) | % {
                                                                              $expected, $a = $_
                                                                              $result = &$f @a
                                                                              "$($result-eq$expected): $result"
                                                                              }


                                                                              Output:



                                                                              True: 0
                                                                              True: 0
                                                                              True: 1
                                                                              True: 3
                                                                              True: 12
                                                                              True: 34
                                                                              True: 51
                                                                              True: 78
                                                                              True: 102
                                                                              True: 103


                                                                              Explanation:



                                                                              First, add top and bottom borders of 0 and make a single dimensional array:





                                                                              0 0 0 0 0
                                                                              # # # # 0
                                                                              # # # # 0
                                                                              # # # # 0
                                                                              # # # # 0



                                                                              0 0 0 0 0 # # # # 0 # # # # 0 # # # # 0 # # # # 0


                                                                              Powershell returns $null if you try to get the value behind the end of the array.



                                                                              Second, loop biggest neighbor pile started from 16 to non-zero-maximum. And nullify it (The Hungry Mouse eats it).





                                                                              for($n=16;$i=$a.IndexOf($n)){
                                                                              $a[$i]=0
                                                                              $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]
                                                                              }


                                                                              Third, sum of the remaining piles.






                                                                              share|improve this answer














                                                                              Powershell, 143 141 136 130 122 121 bytes





                                                                              $a=,0*5+($args|%{$_+0})
                                                                              for($n=16;$i=$a.IndexOf($n)){$a[$i]=0
                                                                              $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]}$a|%{$s+=$_}
                                                                              $s


                                                                              Less golfed test script:



                                                                              $f = {

                                                                              $a=,0*5+($args|%{$_+0})
                                                                              for($n=16;$i=$a.IndexOf($n)){
                                                                              $a[$i]=0
                                                                              $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]
                                                                              }
                                                                              $a|%{$s+=$_}
                                                                              $s

                                                                              }

                                                                              @(
                                                                              ,( 0 , ( 4, 3, 2, 1), ( 5, 6, 7, 8), (12, 11, 10, 9), (13, 14, 15, 16) )
                                                                              ,( 0 , ( 8, 1, 9, 14), (11, 6, 5, 16), (13, 15, 2, 7), (10, 3, 12, 4) )
                                                                              ,( 1 , ( 1, 2, 3, 4), ( 5, 6, 7, 8), ( 9, 10, 11, 12), (13, 14, 15, 16) )
                                                                              ,( 3 , (10, 15, 14, 11), ( 9, 3, 1, 7), (13, 5, 12, 6), ( 2, 8, 4, 16) )
                                                                              ,( 12 , ( 3, 7, 10, 5), ( 6, 8, 12, 13), (15, 9, 11, 4), (14, 1, 16, 2) )
                                                                              ,( 34 , ( 8, 9, 3, 6), (13, 11, 7, 15), (12, 10, 16, 2), ( 4, 14, 1, 5) )
                                                                              ,( 51 , ( 8, 11, 12, 9), (14, 5, 10, 16), ( 7, 3, 1, 6), (13, 4, 2, 15) )
                                                                              ,( 78 , (13, 14, 1, 2), (16, 15, 3, 4), ( 5, 6, 7, 8), ( 9, 10, 11, 12) )
                                                                              ,( 102, ( 9, 10, 11, 12), ( 1, 2, 4, 13), ( 7, 8, 5, 14), ( 3, 16, 6, 15) )
                                                                              ,( 103, ( 9, 10, 11, 12), ( 1, 2, 7, 13), ( 6, 16, 4, 14), ( 3, 8, 5, 15) )
                                                                              ) | % {
                                                                              $expected, $a = $_
                                                                              $result = &$f @a
                                                                              "$($result-eq$expected): $result"
                                                                              }


                                                                              Output:



                                                                              True: 0
                                                                              True: 0
                                                                              True: 1
                                                                              True: 3
                                                                              True: 12
                                                                              True: 34
                                                                              True: 51
                                                                              True: 78
                                                                              True: 102
                                                                              True: 103


                                                                              Explanation:



                                                                              First, add top and bottom borders of 0 and make a single dimensional array:





                                                                              0 0 0 0 0
                                                                              # # # # 0
                                                                              # # # # 0
                                                                              # # # # 0
                                                                              # # # # 0



                                                                              0 0 0 0 0 # # # # 0 # # # # 0 # # # # 0 # # # # 0


                                                                              Powershell returns $null if you try to get the value behind the end of the array.



                                                                              Second, loop biggest neighbor pile started from 16 to non-zero-maximum. And nullify it (The Hungry Mouse eats it).





                                                                              for($n=16;$i=$a.IndexOf($n)){
                                                                              $a[$i]=0
                                                                              $n=(-1,1+-6..-4+4..6|%{$a[$i+$_]}|sort)[-1]
                                                                              }


                                                                              Third, sum of the remaining piles.







                                                                              share|improve this answer














                                                                              share|improve this answer



                                                                              share|improve this answer








                                                                              edited 10 hours ago

























                                                                              answered 20 hours ago









                                                                              mazzy

                                                                              1,757313




                                                                              1,757313






























                                                                                   

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