Never Forget Ramanujan

Algebra Level 3

Let \(f(x)=3^{g(x)}\) , where \(g(x)\) is a quadratic polynomial , such that ,

\(g(1)=6\) , \(g(3)=14\) and \(g(5)=30\).

Then find last two digits of \(f(1729)\)

Note : \(f(x)\) and \(g(x)\) are two different functions.

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