/***
!Test
expected:
- !Result
  solution: !Solution
    a:
    - [0, 0, 0, 0, 0, 0, 0, 0]
    - [0, 1, 0, 1, 0, 0, 0, 0]
    - [0, 0, 0, 0, 0, 1, 2, 0]
    - [0, 1, 0, 0, 0, 0, 0, 0]
    - [0, 0, 0, 1, 0, 0, 0, 0]
    - [0, 0, 0, 2, 0, 1, 2, 0]
    - [0, 0, 0, 3, 0, 0, 0, 0]
    - [0, 0, 0, 0, 0, 0, 0, 0]
    col_sums: [2, 0, 4, 0, 2, 2]
    row_sums: [2, 2, 1, 1, 3, 1]
- !Result
  solution: !Solution
    a:
    - [0, 0, 0, 0, 0, 0, 0, 0]
    - [0, 0, 0, 1, 2, 0, 0, 0]
    - [0, 1, 0, 0, 0, 0, 1, 0]
    - [0, 0, 0, 0, 0, 0, 2, 0]
    - [0, 0, 0, 1, 0, 0, 0, 0]
    - [0, 1, 0, 2, 0, 0, 1, 0]
    - [0, 0, 0, 3, 0, 0, 0, 0]
    - [0, 0, 0, 0, 0, 0, 0, 0]
    col_sums: [2, 0, 4, 1, 0, 3]
    row_sums: [2, 2, 1, 1, 3, 1]
- !Result
  solution: !Solution
    a:
    - [0, 0, 0, 0, 0, 0, 0, 0]
    - [0, 0, 0, 1, 0, 0, 1, 0]
    - [0, 0, 0, 2, 0, 0, 2, 0]
    - [0, 1, 0, 0, 0, 0, 0, 0]
    - [0, 0, 0, 0, 0, 0, 1, 0]
    - [0, 1, 0, 1, 0, 0, 2, 0]
    - [0, 0, 0, 0, 0, 0, 3, 0]
    - [0, 0, 0, 0, 0, 0, 0, 0]
    col_sums: [2, 0, 3, 0, 0, 5]
    row_sums: [2, 2, 1, 1, 3, 1]
- !Result
  solution: !Solution
    a:
    - [0, 0, 0, 0, 0, 0, 0, 0]
    - [0, 1, 0, 1, 0, 0, 0, 0]
    - [0, 0, 0, 2, 0, 0, 1, 0]
    - [0, 0, 0, 3, 0, 0, 0, 0]
    - [0, 0, 0, 0, 0, 0, 1, 0]
    - [0, 0, 0, 1, 2, 0, 2, 0]
    - [0, 1, 0, 0, 0, 0, 0, 0]
    - [0, 0, 0, 0, 0, 0, 0, 0]
    col_sums: [2, 0, 4, 1, 0, 3]
    row_sums: [2, 2, 1, 1, 3, 1]
***/

% Example battleships problem for battleships.mzn.
%
include "battleships.mzn.model";

n = 6;

a = array2d(ROW, COL,
    [| 0, 0, 0, 0, 0, 0, 0, 0
     | 0, _, _, _, _, _, _, 0
     | 0, _, _, _, _, _, _, 0
     | 0, _, _, _, _, _, _, 0
     | 0, _, _, _, _, _, _, 0
     | 0, _, _, _, _, _, _, 0
     | 0, _, _, _, _, _, _, 0
     | 0, 0, 0, 0, 0, 0, 0, 0
     |]
);

constraint a[2, 4] > 0;
constraint a[3, 7] > 0;
constraint a[6, 7] > 0;

row_sums = [2, 2, 1, 1, _, 1];

col_sums = [2, 0, _, _, _, _];

n_classes = 3;

class_sizes = [3, 2, 1];