Question: Implement a Max-Heapify algorithm in C++ that reduces the worst case number of data/key item comparisons to about log 2 n, then apply the Max-Heapify

Implement a Max-Heapify algorithm in C++ that reduces the worst case number of data/key item comparisons to about log₂n, then apply the Max-Heapify algorithm to implement the Heapsort algorithm. Include a detailed explanation of the implementation of the Max-Heapify algorithm and justification of its worst case running time to be about log₂n (not asymptotically).

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