Final answer:
The number of times maxheappercolatedown is called in heapsort depends on the size of the array and the number of swaps that occur.
Step-by-step explanation:
In the heapsort algorithm, maxheapify function is used to maintain the heap property by percolating down the element at a specific index. When maxheappercolatedown is called, it checks if the element at this index violates the heap property (i.e., it is smaller than its children) and swaps it with the larger child until the heap property is restored.
Since heapsort involves building a max heap and repeatedly calling maxheappercolatedown to remove the maximum element and maintain the heap property, the number of maxheappercolatedown calls depends on the size of the array and the number of times the element is swapped.
Therefore, to determine the exact number of times maxheappercolatedown is called in a given array, we need to analyze the specific array and execution of the heapsort algorithm.