How large must n be to ensure that for every list curly’s computer sorts faster than L

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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How large must n be to ensure that for every list curly’s computer sorts faster than Larry’s?
Moe, Larry, and Curly have just purchased three new computers and use three different algorithms to sort lists:

|                  | Comparisons / sec | Search Algorithm         | \( T(n) \)     |
|------------------|-------------------|--------------------------|---------------|
| Moe              | 50                | Linear Search            | \( n \)       |
| Larry            | 5                 | Optimal Chunk Search     | \( 2\sqrt{n} \) |
| Curly            | 1                 | Binary Search            | \( \log_2 n \) |

where \( T(n) \) is the number of comparisons it takes, in the worst case, to sort a list of size \( n \).

How large must \( n \) be to ensure that, for every list, ...
Transcribed Image Text:Moe, Larry, and Curly have just purchased three new computers and use three different algorithms to sort lists: | | Comparisons / sec | Search Algorithm | \( T(n) \) | |------------------|-------------------|--------------------------|---------------| | Moe | 50 | Linear Search | \( n \) | | Larry | 5 | Optimal Chunk Search | \( 2\sqrt{n} \) | | Curly | 1 | Binary Search | \( \log_2 n \) | where \( T(n) \) is the number of comparisons it takes, in the worst case, to sort a list of size \( n \). How large must \( n \) be to ensure that, for every list, ...
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