Problem
AMC Practice #1 - Problem 13
Let f be a function from the positive reals to the positive reals such that xf(xf(2y)) = y+xyf(x) for all x and y in the domain. If the sum of all values of f(100) can be written as \frac{m}{n}, where \gcd(m,n) = 1, find m+n.
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