Prepare baked potatoes. Steam broccoli for about 7 minutes. (If adding eggs, hard-boil them while the broccoli is steaming.) Prepare white sauce according to directions and stir in grated cheese when the sauce is thickened. After cheese melts stir until blended. (If using eggs, peel them and mash into fine bits with a fork (as if for egg salad), stir until whites and yellows are evenly mixed.

Cut potatoes in half and fluff a little with a fork, top with equal amounts of broccoli florets and cheese sauce. Sprinkle egg on top of it all. Add salt and pepper if desired. A sprinkle of paprika on the top is a colorful contrast and easy garnish.