/*
  https://puzzles9.com/puzzles/number-sequence-puzzles-with-answers/
  Puz1060
  """
  2  11  20
  4   9  32
  7   8  49
  4  10   ?

  Answer : 36
  Multiply first two numbers in each row and subtract first number from the product 
  to get third number in that row.

  (2*11)-2 = 20
  (4*9)-4 = 32
  (7*8)-7 = 49
  (4*10)-4 = 36

  So, answer is 36.
  """

  Two representations, the first is the intended one.

  * First representation 
    data = [[[2,11],20],
            [[4,9],32],
            [[7,8],49]]
    vars = [A,B]
    unknown = [4,10]
    maxCount = 3

    [program = A * B - A,res = 36,count = 28]
    [program = (B - 1) * A,res = 36,count = 24]
    [program = (B * A - A) * 1,res = 36,count = 22]
    [program = B * A - A,res = 36,count = 21]
    [program = A * B - A * 1,res = 36,count = 20]
    [program = 1 * (B * A - A),res = 36,count = 18]
    [program = A - A + (B * A - A),res = 36,count = 16]
    [program = B * A - A + (B - B),res = 36,count = 15]
    [program = B * 1 * A - A,res = 36,count = 12]
    [program = A * (B - 1),res = 36,count = 12]
    [program = B * 1 * A - A * 1,res = 36,count = 6]
    [program = B * A - A - (B - B) * B,res = 36,count = 4]
    [program = B * A - A * 1,res = 36,count = 2]
    [program = B * A - A - (B - B),res = 36,count = 1]

    resultMap = [36 = 14]


  * Second representation (transposed)
    data = [[[2,4,7],4],
            [[11,9,8],10]]
    vars = [A,B,C]
    unknown = [20,32,49]
    ops = (map)[infix = [+,*,-]]

    [program = C + 2 - (1 + (8 - B)),res = 74,count = 28]
    [program = B - (1 + 8 - (2 + C)),res = 74,count = 27]
    [program = 1 + (B - 8) + C,res = 74,count = 25]
    [program = 2 * C - (B + 8) + A,res = 78,count = 18]
    [program = 1 + (B - 8) + C * 1,res = 74,count = 15]
    [program = C + (1 + (B - 8)),res = 74,count = 5]
    [program = B * 1 - (1 + 8 - (2 + C)),res = 74,count = 4]

    resultMap = [74 = 6,78 = 1]


    

*/
data(puz1060,Data,Vars,Unknown,Ops,Constants,MaxSize,Params) :-
  Matrix =   [[2,11,20],
              [4,9,32],
              [7,8,49],
              [4,10,_]
              ],
  Ops = [+,*,-],
  Constants = [1,2,4,8,16,32],
  ( nl,
    make_data_matrix(Matrix,Data,Unknown,Vars),
    MaxSize = 4
    ;
    nl,
    % transposed matrix
    make_data_matrix(Matrix.transp,Data,Unknown,Vars),
    MaxSize = 6
  ),
  Params = new_map([num_gens=30]).