UmaxHint. This operator takes the hint value (as usual, rounded up if necessary) for only the members with the highest unity check value in that solution. This is usually a single member, but occasionally two will have the maximum unit y check value. The intention here is to provide a “fine tuning” operator that may help to improve the last few violations in a solution. This operator very closely reflects a standard design practice used by domain experts. A simple improvement that we did not include would be to only apply this operator if the solution is close to being valid.