/*
  https://puzzles9.com/puzzles/number-sequence-puzzles-with-answers/
  Puz250
  """
  3 11 19
  5  ? 23
  7 17 29 
  """

  And we rearrange the rows and columns:

    3 19 11
    7 29 17
    5 23  ?

  maxCount = 3
  code = ((B - 5) - A) = [[[3,19],11],[[7,29],17]] = [[5,23] = 13]

  I.e. (in the original form):
    3+5 + 11 = 19
    5+5 + 13 = 23
    7+5 + 17 = 29

  There is another solution which also gives 13:
  The given numbers are primes (ordered columnwise),
  and the missing number is 13.

  And the intended solution happens to be this last one (enumerated primes):
  """
  Answer : 13
  In the above puzzle, numbers are consecutive prime numbers in each column.

  First column :  3,  5,  7
  Second column: 11, 13, 17
  Third column : 19, 23, 29

  So, answer is 13.
  """

*/
data(puz250,Data,Vars,Unknown,Ops,Constants,MaxC) :-
  Data = [
            [[3,19],11],
            [[7,29],17]
          ],
  Ops = new_map([infix=["+","-","*"] ]),
  Vars = ["A","B"],
  Unknown = [5,23],
  Constants = 1..10,
  MaxC = 3.


/*
  Transposing the matrix:

   3  7  5
  19 29 23
  11 17  ?

  gives anoter solution:
  maxCount = 5
  code = ((3 * (B - A)) - 7) = [[[3,7],5],[[19,29],23]] = [[11,17] = 11]

  (3 * ( 7- 3)) - 7  =  5
  (3 * (29-19)) - 7  = 23
  (3 * (17-11)) - 7  = 11

*/
data(puz250,Data,Vars,Unknown,Ops,Constants,MaxC) :-
  Data = [
            [[3,7],5],
            [[19,29],23]
          ],
  Ops = new_map([infix=["+","-","*"] ]),
  Vars = ["A","B"],
  Unknown = [11,17],
  Constants = 1..10,
  MaxC = 6.