"My son and I love having a croque madame (a fried egg atop our grilled ham and cheese) for lunch. If eggs aren't your favorite, you can make the sandwich without it (which makes it a croque monsieur). —Carolyn Turner, Reno, Nevada..."
INGREDIENTS
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1 pound thinly sliced Gruyere cheese, divided
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16 slices sourdough bread
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1-1/2 pounds thinly sliced deli ham
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1/2 cup butter, softened
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4 to 6 tablespoons mayonnaise
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EGGS:
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2 tablespoons butter
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8 large eggs
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1/2 teaspoon salt
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1/2 teaspoon pepper