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Creating a van Emde Boas tree with universe size u requires O(u) time. Suppose we wish to explicitly account for that time. What is the

Creating a van Emde Boas tree with universe size u requires O(u) time. Suppose we wish to explicitly account for that time. What is the smallest number of operations n for which the amortized time of each operation in a van Emde Boas tree is O(log(log(u)))?

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