removeMax: Remove and return the element whose key has maximum value from the binary heap. In class, we discussed how this operation can be performed in O(log, n) time for a binary heap. Prove, for a binary heap, that any algorithm for the removeMax operation requires N(log, n) operations in the worst case. Hint: Prove the claim via reduction (using contradiction). Is there some problem you could solve faster (than what we know to be impossible) if you could accomplish, obtaining a o(log, n)-time algorithm in the worst case here?

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