32 lines
883 B
MiniZinc
32 lines
883 B
MiniZinc
% QCP max problem.
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include "globals.mzn";
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var 0..2*n : obj;
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int: n; % size
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array[1..n*n] of 0..n: s; % 0 = unfixed 1..n = fixed
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array[1..n,1..n] of 0..n: s2 = array2d(1..n, 1..n, s);
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array[1..n,1..n] of var 1..n: q; % qcp array;
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predicate my_all_different_reif(array[int] of var int: x, var bool: r) =
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r <-> forall(i,j in index_set(x) where i < j) ( x[i] != x[j] );
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constraint forall(i,j in 1..n where s2[i,j] > 0)(q[i,j] = s2[i,j]);
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constraint obj <= sum(i in 1..n)(
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let {
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array[1..2] of var bool: b;
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constraint my_all_different_reif([q[j,i] | j in 1..n], b[1]);
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constraint my_all_different_reif([q[i,j] | j in 1..n], b[2]);
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} in bool2int(b[1]) + bool2int(b[2])
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);
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solve ::int_search([obj] ++ [q[i, j] | i in 1..n, j in 1..n], input_order,
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indomain_max, complete ) maximize obj;
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output [
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"obj = " ++ show(obj) ++ "\n",
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"q = " ++ show(q) ++ "\n",
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];
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