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Preheat oven to 350ºF.
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In a large saucepan, combine 1/3 cup sugar, cornstarch and salt; stir until blended.
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Mix in milk.
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Cook over medium heat, stirring constantly until thickened and boiling. Boil 1 minute, then remove from heat.
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In a small bowl, whisk egg yolks, then whisk in about 1/2 cup of hot custard until blended.
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Pour yolk mixture back into saucepan of custard; cook over medium heat, stirring 2 minutes. Stir in butter and vanilla until blended.
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Place vanilla wafers on bottom of a shallow 2 quart casserole dish.
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Top with layers of banana slices and custard. Repeat layering, ending with custard.
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In a large mixing bowl, best egg whites and 1/4 cup sugar at low speed until frothy.
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Add cream of tartar; increase speed to medium and gradually beat in remaining sugar.
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Beat until egg whites hold stiff peaks.
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Spoon meringue over hot custard immediately, making sure that meringue touches baking dish on all sides. (This prevents it from shrinking).
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Transfer to oven and bake until golden brown, about 20 minutes.
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Remove pudding from oven and cool one hour.
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Refrigerate at least 4 hours before.
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Enjoy!