Explain why the statement The running time of an algorithm i

Explain why the statement, “The running time of an algorithm is at most (1),” is meaningless.

Solution

Big Omega Notation

is used for representing asymptotic lower bound of a function for all input sizes.

If f(n) = (g(n)), it means f(n) asymptotically grows no slowers than g(n).

(1) means the algorithm should complete in atleast a constant time for any input size, which is true for every function.

Hence, the statement is meaningless.

Explain why the statement, “The running time of an algorithm is at most (1),” is meaningless.SolutionBig Omega Notation is used for representing asymptotic lowe

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