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q. what is the smallest value of n such that an

Q. What is the smallest value of n such that an algorithm whose running time is 100n2 runs faster than an algorithm whose running time is 2n on the same machine.

Ans.

F (n) = 100 n2

G(n) = 2n

Value of n so that 100 n2 < 2n

The smallest value of n such that an algorithm whose running time is 100n2 runs faster than an algorithm whose running time is 2n on the same machine is 15.

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