Arrays.sort() uses dual-pivot quicksort, an optimized version of quicksort, to sort an array of n integers. Mark all properties that apply. ~ n log2 n compares in the worst case. U O (n) compares on input arrays that have a small number of distinct integers. O(n) compares on input arrays that have a small number of runs (sequences of increasing integers). Faster than Timsort on random arrays. Uses O(log n) extra space (on average).

Computer Networking: A Top-Down Approach (7th Edition)
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Chapter1: Computer Networks And The Internet
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### Arrays.sort() and Dual-Pivot Quicksort

**Overview:**
`Arrays.sort()` employs dual-pivot quicksort, an enhanced version of quicksort, to sort an array of \( n \) integers.

**Properties:**
Select all properties that apply to dual-pivot quicksort:

- \(\sim n \log_2 n \) compares in the worst case.
- \(\Theta(n)\) compares on input arrays that have a small number of distinct integers.
- \(\Theta(n)\) compares on input arrays that have a small number of runs (sequences of increasing integers).
- Faster than Timsort on random arrays.
- Uses \( O(\log n) \) extra space (on average).
Transcribed Image Text:### Arrays.sort() and Dual-Pivot Quicksort **Overview:** `Arrays.sort()` employs dual-pivot quicksort, an enhanced version of quicksort, to sort an array of \( n \) integers. **Properties:** Select all properties that apply to dual-pivot quicksort: - \(\sim n \log_2 n \) compares in the worst case. - \(\Theta(n)\) compares on input arrays that have a small number of distinct integers. - \(\Theta(n)\) compares on input arrays that have a small number of runs (sequences of increasing integers). - Faster than Timsort on random arrays. - Uses \( O(\log n) \) extra space (on average).
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