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MiniZinc

include "globals.mzn";
int: Q = 1;
int: S = 2;
int: Fstart = 3;
int: Fend = 4;
int: Dstart = 5;
int: width;
int: height;
int: filled;
int: ntiles;
int: size;
array[1..ntiles,1..Dstart] of int: tiles;
array[1..size] of int: dfa;
array[1..width*height] of var filled..ntiles+1: board;
constraint forall (h in 1..height, w in 1..width-1) (
board[(h-1)*width+w] != ntiles+1);
constraint forall (h in 1..height) (
board[(h-1)*width+width] = ntiles+1);
constraint
forall (t in 1..ntiles)(
let {
int: q = tiles[t,Q],
int: s = tiles[t,S],
set of int: f = tiles[t,Fstart]..tiles[t,Fend],
array[1..q,1..s] of int: d =
array2d(1..q,1..s,
[ dfa[i] | i in tiles[t,Dstart]+1..tiles[t,Dstart]+q*s] )
}
in
regular(board,q,s,d,1,f)
);
solve :: int_search(board, input_order, indomain_min, complete) satisfy;
output ["board = array1d(1..\(width*height), \(board));\n"];