Question: What is the worst-case time complexity of Heap Sort?
Options:
O(n log n)
O(n^2)
O(n)
O(log n)
Correct Answer: O(n log n)
Solution:
The worst-case time complexity of Heap Sort is O(n log n) because it builds a heap and then sorts it.
What is the worst-case time complexity of Heap Sort?
Practice Questions
Q1
What is the worst-case time complexity of Heap Sort?
O(n log n)
O(n^2)
O(n)
O(log n)
Questions & Step-by-Step Solutions
What is the worst-case time complexity of Heap Sort?
Step 1: Understand what Heap Sort is. Heap Sort is a sorting algorithm that uses a data structure called a heap.
Step 2: Know that there are two main parts to Heap Sort: building the heap and sorting the elements.
Step 3: Building the heap takes O(n) time. This is the first part of the algorithm.
Step 4: After building the heap, we need to sort the elements. This involves removing the largest element from the heap and placing it in the sorted array.
Step 5: Each time we remove the largest element, we need to re-heapify the remaining elements. This re-heapifying takes O(log n) time.
Step 6: Since we have to remove n elements (one for each element in the array), the total time for sorting is O(n log n).
Step 7: Therefore, the worst-case time complexity of Heap Sort is O(n log n).
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