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Which of the following sorting algorithms has best case time complexity of O(nlog(n))?

Question

Which of the following sorting algorithms has best case time complexity of O(nlog(n))?

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Solution

The sorting algorithms that have the best case time complexity of O(nlog(n)) are:

  1. Merge Sort
  2. Heap Sort
  3. Quick Sort (although the worst case is O(n^2), the "average" case is O(nlog(n)) and can be optimized to avoid the worst case)
  4. Shell Sort (although it can perform better than O(nlog(n)) in some cases)

Please note that these are not the only sorting algorithms with this time complexity, but they are some of the most commonly used.

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