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MiniZinc

%-----------------------------------------------------------------------------%
% Constrains two arrays of int variables to represent inverse functions.
% All the values in each array must be within the index set of the other array.
%
% Linear version.
%-----------------------------------------------------------------------------%
include "fzn_inverse_in_range.mzn";
predicate fzn_inverse(array[int] of var int: f,
array[int] of var int: invf) =
forall(i in index_set(f)) ( f[i] in index_set(invf) ) /\
forall(j in index_set(invf)) ( invf[j] in index_set(f) ) /\
fzn_inverse_in_range(f, invf);