Polynomial Evaluation

f(x) f(x) is a polynomial with degree equal to 100. It satisfies f(n)=1n f(n) = \frac {1} {n} , for all integers n n between 1 and 101, inclusive. f(102) f(102) is a fraction and has the form ab \frac {a} {b} , where a a and bb are coprime integers. What is a+b? a + b?

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