You have N magical bags of candies in front of you. The ith bag has Ai candies in it. It takes you one minute to finish a bag of candies, no matter how many candies in it. Every time you finish a bag with X candies in it, the bag is magically replenished with X2 (rounded down to the nearest integer) more candies. Write down an algorithm that determines the maximum number of candies you can eat in K minutes. Determine the time complexity of your algorithm.

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