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Given that fff is a polynomial of degree 100 and that f(k)=k f(k)=kf(k)=k for k=1,2,…,100 k=1, 2, \ldots , 100k=1,2,…,100 and f(101)=102f(101)=102f(101)=102. Find f(102)f(102)f(102).
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