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on-restart-benchmarks/share/minizinc/std/fzn_network_flow_cost.mzn
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MiniZinc

predicate fzn_network_flow_cost(array[int,1..2] of int: arc,
array[int] of int: balance,
array[int] of int: weight,
array[int] of var int: flow, var int: cost) =
let { int: source_node = 1;
int: sink_node = 2;
set of int: ARCS = index_set_1of2(arc);
set of int: NODES = index_set(balance);
} in
cost = sum(i in ARCS) (flow[i] * weight[i])
/\
forall (i in NODES) (
sum (j in ARCS where i == arc[j,source_node]) (flow[j]) -
sum (j in ARCS where i == arc[j,sink_node]) (flow[j])
= balance[i]
);