/***
!Test
check_against: []
expected:
- !Result
  solution: !Solution
    a:
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 1
      - 0
      - 1
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 2
      - 0
      - 2
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 3
      - 0
      - 3
      - 0
      - 0
      - 1
      - 0
    - - 0
      - 1
      - 2
      - 0
      - 0
      - 4
      - 0
      - 0
      - 0
      - 0
      - 2
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
      - 2
      - 0
      - 0
    - - 0
      - 1
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 3
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 2
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    col_sums:
    - 2
    - 1
    - 0
    - 0
    - 5
    - 2
    - 3
    - 1
    - 4
    - 2
    row_sums:
    - 3
    - 2
    - 3
    - 4
    - 0
    - 1
    - 2
    - 2
    - 2
    - 1
- !Result
  solution: !Solution
    a:
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 1
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 2
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 2
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 1
      - 2
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 2
      - 3
      - 4
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 2
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
      - 0
      - 3
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 2
      - 0
      - 1
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 3
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    col_sums:
    - 2
    - 1
    - 0
    - 0
    - 5
    - 2
    - 3
    - 1
    - 4
    - 2
    row_sums:
    - 3
    - 2
    - 3
    - 4
    - 0
    - 1
    - 2
    - 2
    - 2
    - 1
- !Result
  solution: !Solution
    a:
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 1
      - 0
      - 0
      - 1
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 2
      - 0
      - 2
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 1
      - 0
      - 0
      - 0
      - 3
      - 0
      - 3
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 2
      - 0
      - 0
      - 0
      - 4
      - 0
      - 0
      - 0
      - 1
      - 2
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
      - 2
      - 0
      - 0
    - - 0
      - 0
      - 1
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 3
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 2
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    col_sums:
    - 2
    - 1
    - 0
    - 0
    - 5
    - 2
    - 3
    - 1
    - 4
    - 2
    row_sums:
    - 3
    - 2
    - 3
    - 4
    - 0
    - 1
    - 2
    - 2
    - 2
    - 1
- !Result
  solution: !Solution
    a:
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 2
      - 3
      - 0
      - 0
      - 0
    - - 0
      - 1
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 2
      - 3
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 1
      - 2
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 2
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 2
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 3
      - 0
      - 0
      - 0
      - 2
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 4
      - 0
      - 1
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    col_sums:
    - 2
    - 1
    - 0
    - 0
    - 5
    - 2
    - 3
    - 1
    - 4
    - 2
    row_sums:
    - 3
    - 2
    - 3
    - 4
    - 0
    - 1
    - 2
    - 2
    - 2
    - 1
- !Result
  solution: !Solution
    a:
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
      - 0
      - 1
      - 2
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 2
      - 0
      - 1
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 3
      - 0
      - 2
      - 0
      - 0
      - 1
      - 0
    - - 0
      - 1
      - 2
      - 0
      - 0
      - 4
      - 0
      - 3
      - 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
      - 1
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
      - 2
      - 0
      - 0
    - - 0
      - 1
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 3
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 2
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    col_sums:
    - 2
    - 1
    - 0
    - 0
    - 5
    - 2
    - 3
    - 1
    - 4
    - 2
    row_sums:
    - 3
    - 2
    - 3
    - 4
    - 0
    - 1
    - 2
    - 2
    - 2
    - 1
- !Result
  solution: !Solution
    a:
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 2
      - 3
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 2
      - 0
    - - 0
      - 1
      - 2
      - 0
      - 0
      - 1
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 2
      - 3
      - 4
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 1
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 1
      - 0
      - 0
      - 0
      - 2
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 2
      - 0
      - 1
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 3
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    - - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
      - 0
    col_sums:
    - 2
    - 1
    - 0
    - 0
    - 5
    - 2
    - 3
    - 1
    - 4
    - 2
    row_sums:
    - 3
    - 2
    - 3
    - 4
    - 0
    - 1
    - 2
    - 2
    - 2
    - 1
extra_files: []
markers: []
options:
  all_solutions: false
solvers:
- gecode
- cbc
- chuffed
type: solve

***/

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

n = 10;

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, _, 0, 0
     | 0, _, _, _, _, _, _, _, _, 0, _, 0
     | 0, _, _, _, _, _, _, _, _, _, _, 0
     | 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0
     |]
);

constraint a[8, 10] > 0;

row_sums = [3, 2, 3, 4, 0, 1, 2, 2, 2, 1];

col_sums = [2, 1, 0, 0, 5, 2, 3, 1, 4, 2];

n_classes = 4;

class_sizes = [4, 3, 2, 1];