April 2024
Intermediate to advanced
832 pages
29h 31m
English
Content preview from Design and Analysis of Algorithms
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Examples of Complexity Calculation 409
Our analysis of mergesort is as follows:
1. The time to merge a pair of lists to get an n element list is O(n) since each recursive call “retires” an
element to the result list and each element of the result gets retired only once.
2. Thus, the time to merge pairs on a list of lists, the summed total length of which is n, is O(n), since from
(1) the time to merge a single pair is proportional to the number of elements in the result.
3. The time to use
repeat on a list of n 1-element lists is the number of times repeat is called recursively
times O(n), from (2).
4. The number of times
repeat is called is ...
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