# 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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