Running time of heapsort for a sorted array in ascending/descending order
  • timecomplexity
  • heapsort
  • sorting
  • array
  •   
  • Posted: 5 years ago
  • Updated: 4 years ago
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What is the running time of heapsort on an array A of length n that is already sorted in ascending order? How about the descending order?


Posted Answers

  • When the input array A is sorted in ascending order, at each iteration, each call of Max_heapify(A,1) will still take \( O(logn) \) time.
    Hence the running time of heapsort will be \( O(nlogn) \) for n elements in the array.

  • When the input array is sorted in descending order, heapsort will still take \( O(nlogn) \) time since the cost of Max_heapify does not change.
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