/*

  Squares

  https://puzzles9.com/puzzles/number-sequence-puzzles-with-answers/
  Puz1059
  """
  
      13  5    12  4 
       5 20     3  5

      16  4    11  5
      20  4     7  ?


  Answer : 8
  In each rectangle, multiply first row numbers and subtract sum of numbers in second row from it. 
  Result of each rectangle should be 40.

  (13*5)-(5+20) = 40
  (12*4)-(3*5) = 40
  (16*4)-(20+4) = 40
  (11*5)-(7+8)= 40

  So, answer is 8.
  """

  Here we test two different representation from the data matrix
    [[13,5,5,20],
    [12,4,3,5],
    [16,4,20,4],
    [11,5,7,_] ]



  * Representation 1:
    data = [[[13,5,5],20],
            [[12,4,3],5],
            [[16,4,20],4]]

    Some solutions:
    [program = A * B - 8 - (4 + (32 - 4)) - C,res = 8,count = 1]
    [program = B * A - (8 + (32 + 1 * C)),res = 8,count = 1]
    [program = ((C * A - (A + 32)) mod 8 + 1) * ((32 + 32 - (C - 16 - B * A)) mod 8),res = 0,count = 1]
    [program = B * A mod (32 + C) - 8,res = 8,count = 1]


  * Representation 2:
    data = [[[13,12,16],11],
            [[5,4,4],5],
            [[5,3,20],7]]

    [program = 32 mod (C + (4 + 1)),res = 5,count = 8]
    [program = (16 + A) mod (C - 2) - (16 mod A - A),res = 4,count = 1]
    [program = 8 * C mod ((A + C) mod 16),res = 0,count = 1]

*/
data(squares,Data,Vars,Unknown,Ops,Constants,MaxSize,Params) :-
  Matrix =   [[13,5,5,20],
              [12,4,3,5],
              [16,4,20,4],
              [11,5,7,_]
              ],
  % Ops = [+,*,-],
  Ops = [+,*,-,mod],
  Constants = [1,2,4,8,16,32],
  make_data_matrix(Matrix,Data,Unknown,Vars),
  % make_data_matrix(Matrix.transp,Data,Unknown,Vars),
  MaxSize = 5,
  Params = new_map([init_size=1000]).