A sorting algorithm is in O(n2) in the worst case. It takes 5 seconds to sort 10,000 records, i.e. n = 10,000. (i) What is the predicted time for the algorithm to sort 20,000 records? (ii) Suppose that you are presented with a machine that is 49 times as fast. How many records will you be able to process on the new machine in 5 seconds?

Database System Concepts
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ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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A sorting algorithm is in O(n2) in the worst case. It takes 5 seconds to sort 10,000
records, i.e. n = 10,000.
(i) What is the predicted time for the algorithm to sort 20,000 records?
(ii) Suppose that you are presented with a machine that is 49 times as fast.
How many records will you be able to process on the new machine in 5
seconds?

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