Let F Be an Algorithm with Complexity Function F(n),and Let

question 5

Multiple Choice

Let F be an algorithm with complexity function f(n) ,and let G be an algorithm with complexity function g(n) .If there exists a positive constant K such that the ratio f(n) /g(n) is less or equal to K for all n greater or equal to 1,then

• A) the two algorithms are asymptotically equivalent
• B) the algorithm F is asymptotically no worse than G
• C) the algorithm F is asymptotically no better than G
• D) Nothing intelligent can be said about the relative performance of the two algorithms.

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Definitions:

Absolute Value

The distance of a number from zero on the number line, without considering direction.

Money Income

Refers to the total amount of monetary income received by an individual or household over a certain period of time, including wages, salaries, bonuses, and any other income in cash forms.

Factors of Production

The resources used in the production of goods and services, typically categorized into land, labor, capital, and entrepreneurship.

Entrepreneurial Ability

The skill or talent required to conceptualize new products or services, create businesses, and achieve economic success.