You have been to the local store and bought your weekly supply of eggs. The first morning you have an acquaintance for breakfast and you eat half the eggs plus one-half an egg. The next morning you enjoy half of what's remaining plus one-half an egg. On the third morning you again use half of what's left plus one-half an egg. On the morning of the fourth you are down to one solitary egg. In all this cooking, you have never had one-half an egg to carry over to the next day. How many eggs did you buy at the store?
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