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We have designed a new variant of mergesort called 3-way mergesort, which splits the input into three pieces A, B and C, each of size n/3, recursively sorts them, and finally merges the three sorted pieces in O(n) time. Asymptotically speaking, how does 3-way mergesort compare to the standard mergesort: Both run in O(n log n) worst-case time. 3-way mergesort's worst-case time complexity is 3-way mergesort's worst-case time complexity is (n³/2). (n log² n).

We have designed a new variant of mergesort called 3-way mergesort, which splits the input into three pieces A, B and C, each of size n/3, recursively sorts them, and finally merges the three sorted pieces in O(n) time. Asymptotically speaking, how does 3-way mergesort compare to the standard mergesort: Both run in O(n log n) worst-case time. 3-way mergesort's worst-case time complexity is 3-way mergesort's worst-case time complexity is (n³/2). (n log² n).

C++ Programming: From Problem Analysis to Program Design
C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
Problem 24PE
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We have designed a new variant of mergesort called 3-way mergesort, which splits the input into three pieces A, B and C, each of size n/3, recursively sorts them, and finally merges the three sorted pieces in O(n) time. Asymptotically speaking, how does 3-way mergesort compare to the standard mergesort: Both run in O(n log n) worst-case time. 3-way mergesort's worst-case time complexity is 3-way mergesort's worst-case time complexity is (n³/2). (n log² n).
Transcribed Image Text:We have designed a new variant of mergesort called 3-way mergesort, which splits the input into three pieces A, B and C, each of size n/3, recursively sorts them, and finally merges the three sorted pieces in O(n) time. Asymptotically speaking, how does 3-way mergesort compare to the standard mergesort: Both run in O(n log n) worst-case time. 3-way mergesort's worst-case time complexity is 3-way mergesort's worst-case time complexity is (n³/2). (n log² n).
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