fiNd the "Best" Big-O Notation to Describe the Complexity of the Algorithm

question 9

Short Answer

find the "best" big-O notation to describe the complexity of the algorithm. Choose your answers from the following: $$1 , \log _ { 2 } n , n , n \log _ { 2 } n , n ^ { 2 } , n ^ { 3 } , \ldots , 2 ^ { n } , n !$$
-An iterative algorithm to compute n!, (counting the number of multiplications)

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Definitions:

Marginal Benefit

The additional satisfaction or utility gained by consuming or producing one more unit of a good or service.

Marginal Cost

The added expenditure resulting from the production of an extra unit of a good or service.

Socially Optimal

A condition or outcome that maximizes societal welfare, taking into account all costs and benefits to society as a whole.

Positive Externalities

Benefits that occur from a transaction or activity to third parties who are not directly involved in the transaction or activity.