We learned how to merge two ordered lists with the two-finger method, and we generalized this to merge k ordered lists, to obtain one sorted list with all the n items. k is a parameter that can be set as needed, as long as 2 ≤ k ≤ n. However, for some values of k it is faster to simply sort all the numbers ignoring the initial order. For which (big O) range of k is worth to merge the lists rather than sort?

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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We learned how to merge two ordered lists with the two-finger method, and we generalized
this to merge k ordered lists, to obtain one sorted list with all the n items. k is a parameter that can
be set as needed, as long as 2 ≤ k ≤ n. However, for some values of k it is faster to simply sort all the
numbers ignoring the initial order. For which (big O) range of k is worth to merge the lists rather than
sort? 

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