Boil the potatoes in their skins until tender. Peel and slice into thin rounds.
Hard-boil the eggs. Peel and slice them.
Heat the olive oil in a skillet over medium heat. Sauté the finely chopped onion and crushed garlic until softened. Add the ground meat, season with salt, pepper, and Hungarian sweet paprika. Cook until the meat is fully browned.
Grease a baking dish with butter or oil. Begin layering the ingredients: first a layer of potato slices, then a layer of sliced eggs, followed by a layer of the ground meat mixture. Repeat the layering until all ingredients are used.
In a bowl, combine the sour cream with a pinch of salt, and pour it evenly over the top of the layered casserole. Sprinkle generously with grated cheese.
Bake in a preheated oven at 350°F (180°C) for 30-35 minutes, or until the top is golden brown and bubbly.
Serve hot, accompanied by a fresh salad or pickles.
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