Sorting a preexisting sequence of n elements can be accomplished with the heapsort algorithm by:
A) Calling make_heap on the entire sequence and then calling pop_heap on the entire sequence n times.
B) Calling push_heap on the entire sequence n times and then calling pop_heap on the entire sequence n times.
C) Calling make_heap on the entire sequence and then calling sort_heap on the entire sequence.
D) Calling push_heap on the entire sequence n times and then calling sort_heap on the entire sequence.

Question

Quizplus · Accepted Answer

The make_heap function can be used to create a max heap from the given sequence in O(n) time complexity. Then, sort_heap can be used to sort the elements in O(n log n) time complexity by repeatedly extracting the maximum element from the heap and inserting it at the end of the sequence. Thus, the total time complexity of the heapsort algorithm using make_heap and sort_heap is O(n log n), which is optimal for comparison-based sorting algorithms. The other options are not as efficient because they involve multiple calls to push_heap and pop_heap, which increases the time complexity.

Sorting a Preexisting Sequence of N Elements Can Be Accomplished