Which of the following statements about the heapsort algorithm is correct?
A)The heapsort sorts an array that is already sorted in O(n).
B)The heapsort algorithm is based on inserting elements into a heap and removing them in sorted order.
C)Each insertion and removal is O(n log(n)).
D)The heapsort algorithm requires more space than the mergesort.

Question

Quizplus · Accepted Answer

The heapsort algorithm is based on inserting elements into a heap and then removing them in sorted order. This process takes O(n log(n)) time in the worst case. Option A is incorrect because when an array is already sorted, it is not necessary to use heapsort or any other algorithm, as it is already sorted. Option C is partially correct because each insertion and removal takes O(log(n)) time, but the overall complexity is O(n log(n)). Option D is incorrect because the heapsort algorithm only requires O(1) additional space, making it more space-efficient than mergesort, which requires O(n) additional space.

Which of the Following Statements About the Heapsort Algorithm Is