23 lines
693 B
MiniZinc
23 lines
693 B
MiniZinc
include "lex_less.mzn";
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predicate fzn_strict_lex2_reif(array[int, int] of var int: x, var bool: b) =
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let {
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int: lbx1 = min(index_set_1of2(x)),
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int: ubx1 = max(index_set_1of2(x)),
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int: lbx2 = min(index_set_2of2(x)),
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int: ubx2 = max(index_set_2of2(x))
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} in b <-> (
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forall(i in lbx1 + 1 .. ubx1) (
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lex_less([x[i - 1, j] | j in index_set_2of2(x)],
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[x[i, j] | j in index_set_2of2(x)]
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)
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)
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/\
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forall(j in lbx2 + 1 .. ubx2) (
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lex_less([x[i, j - 1] | i in index_set_1of2(x)],
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[x[i, j ] | i in index_set_1of2(x)]
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)
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)
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);
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