Merge Sort Has a O(n Log₂(n)) Complexity

question 85

Multiple Choice

Merge sort has a O(n log₂(n) ) complexity. If a computer can sort 1,024 elements in an amount of time x, approximately how much longer will it take the computer to sort 1,024 times that many, or 1,048,576 elements?

• A) 1,024 times longer
• B) 2,048 times longer
• C) 8,192 times longer
• D) 1,048,576 times longer

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Definitions:

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Perfect Competition

A market structure characterized by a complete absence of rivalry among the producers, with many buyers and sellers, each of whom has a negligible impact on the market.

Identical Service

A service that is exactly the same in every feature and aspect when compared to another service.

Efficient Output

The level of production at which a company or economy can produce goods at the lowest possible cost per unit, maximizing the allocation of resources.