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Improved K-way Merge Sort Algorithm

Learn about the K-way Merge Sort algorithm, its efficiency compared to traditional methods, and how changing the base can impact its running time.

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Improved K-way Merge Sort Algorithm

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  1. CS1020 Data Structures and Algorithms ILecture Note #14a K-way Merge Sort

  2. 1 K-way Merge Sort (1/2) . . . Can we make Merge Sort more efficient by dividing by k instead of 2? [CS1020 Lecture 14a: K-way Merge Sort]

  3. 1 K-way Merge Sort (2/2) 5 12 3 9 . . . 10 16 6 7 [CS1020 Lecture 14a: K-way Merge Sort]

  4. 2 Running time: O(k Nlogk N) N …… N/k N/k … … N/k2 N/k2 N/k2 N/k2 . . . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 [CS1020 Lecture 14a: K-way Merge Sort]

  5. 3 Improved K-way Merge Sort 5 12 3 9 . . . 10 16 6 7 [CS1020 Lecture 14a: K-way Merge Sort]

  6. 4 Running time: O(N log2k logk N) N N/k N/k N/k2 N/k2 N/k2 N/k2 . . . . . . 1 1 1 1 1 1 1 1 1 1 1 1 1 1 [CS1020 Lecture 14a: K-way Merge Sort]

  7. 4 Running time: O(N log2k logk N) By changing the base, we get O(N log2 N) It is not really an improvement over 2-way Merge Sort But it has real application [CS1020 Lecture 14a: K-way Merge Sort]

  8. End of file

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