Algorithms | Analysis of Algorithms | Question 11

What does it mean when we say that an algorithm X is asymptotically more efficient than Y?
(A) X will be a better choice for all inputs
(B) X will be a better choice for all inputs except possibly small inputs
(C) X will be a better choice for all inputs except possibly large inputs
(D) Y will be a better choice for small inputs


Answer: (B)

Explanation: In asymptotic analysis we consider growth of algorithm in terms of input size. An algorithm X is said to be asymptotically better than Y if X takes smaller time than y for all input sizes n larger than a value n0 where n0 > 0.

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