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MiniZinc

include "lex_chain_lesseq.mzn";
/** @group globals.lexicographic
Requires that the columns of matrix \a a are lexicographically sorted,
non-increasing.
*/
predicate lex_chain_greatereq(array[int, int] of var bool: a) =
if 1>=card(index_set_2of2(a)) then true
else lex_chain_lesseq(
array2d( index_set_1of2(a), index_set_2of2(a),
[a[i, max(index_set_2of2(a)) - j + min(index_set_2of2(a))] |
i in index_set_1of2(a), j in index_set_2of2(a)]
)
) endif;
/** @group globals.lexicographic
Requires that the columns of matrix \a a are lexicographically sorted,
non-increasing.
*/
predicate lex_chain_greatereq(array[int, int] of var int: a) =
if 1>=card(index_set_2of2(a)) then true
else lex_chain_lesseq(
array2d( index_set_1of2(a), index_set_2of2(a),
[a[i, max(index_set_2of2(a)) - j + min(index_set_2of2(a))] |
i in index_set_1of2(a), j in index_set_2of2(a)]
)
) endif;