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MiniZinc

int: n;
% La reina de la i columna está en la fila q[i]
array [1..n] of var 1..n: q;
include "alldifferent.mzn";
% Distintas filas.
constraint alldifferent(q);
% Distintas diagonales.
constraint alldifferent([ q[i] + i | i in 1..n]);
% Hacia arriba + hacia abajo.
constraint alldifferent([ q[i] - i | i in 1..n]);
% Búsqueda.
solve :: int_search(q, first_fail, indomain_min, complete)
satisfy;
output [ if fix(q[j]) == i then "Q" else "." endif ++
if j == n then "\n" else "" endif | i,j in 1..n]