Moe, Larry and Curly have just purchased three new computers and use three different algorithms to sort lists: T(n) Search Algorithm Linear Search Comparisons / sec Moe 50 (l EST Larry Curly Optimal Chunk Search 2n log2 n 1 Binary Search 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, ...

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
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Need help please on this discrete math problem
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, ...
iii. Curly's computer sorts faster than Larry's?

(Note: There are no graphs or diagrams in the image.)
Transcribed Image Text:iii. Curly's computer sorts faster than Larry's? (Note: There are no graphs or diagrams in the image.)
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