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:

Economically Efficient

A situation where resources are allocated in a way that maximizes the net benefits to society or achieves the desired output with the least possible input.

Tragedy of the Commons

A scenario where individuals, guided solely by their personal gain, independently exploit or degrade communal assets, despite such actions being against the collective long-term benefits.

Grazing Land

Land used for the purpose of raising livestock, where animals feed on naturally grown grasses and other plants.

Tragedy of the Commons

A situation where individual users, acting independently according to their own self-interest, deplete or spoil shared resources through their collective action.