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ortools-clone/examples/flatzinc/set_packing.fzn

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MiniZinc

predicate fzn_all_different_int(array [int] of var int: x);
predicate count(array [int] of var int: x, var int: y, var int: c);
predicate fixed_fzn_cumulative(array [int] of var int: s, array [int] of int: d, array [int] of int: r, int: b);
predicate global_cardinality(array [int] of var int: x, array [int] of int: cover, array [int] of var int: counts);
predicate maximum_int(var int: m, array [int] of var int: x);
predicate minimum_int(var int: m, array [int] of var int: x);
predicate sliding_sum(int: low, int: up, int: seq, array [int] of var int: vs);
predicate sort(array [int] of var int: x, array [int] of var int: y);
predicate table_bool(array [int] of var bool: x, array [int, int] of bool: t);
predicate table_int(array [int] of var int: x, array [int, int] of int: t);
predicate var_fzn_cumulative(array [int] of var int: s, array [int] of int: d, array [int] of int: r, var int: b);
array [1..84] of int: belongs = [1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 1, 1];
var 0..7: INT____00001 :: is_defined_var :: var_is_introduced;
var 0..7: numNeeded :: output_var = INT____00001;
array [1..7] of var 0..1: x :: output_array([1..7]);
constraint int_lin_eq([1], [x[7]], 1);
constraint int_lin_eq([1, 1], [x[1], x[6]], 1);
constraint int_lin_eq([1, 1], [x[2], x[7]], 1);
constraint int_lin_eq([1, 1], [x[3], x[4]], 1);
constraint int_lin_eq([1, 1], [x[3], x[6]], 1);
constraint int_lin_eq([1, 1], [x[4], x[7]], 1);
constraint int_lin_eq([1, 1], [x[5], x[6]], 1);
constraint int_lin_eq([1, 1], [x[6], x[7]], 1);
constraint int_lin_eq([1, 1, 1], [x[1], x[2], x[6]], 1);
constraint int_lin_eq([1, 1, 1], [x[4], x[5], x[6]], 1);
constraint int_lin_eq([1, 1, 1], [x[4], x[6], x[7]], 1);
constraint int_lin_eq([-1, 1, 1, 1, 1, 1, 1, 1], [INT____00001, x[1], x[2], x[3], x[4], x[5], x[6], x[7]], 0) :: defines_var(INT____00001);
solve :: int_search(x, first_fail, indomain, complete) satisfy;