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Let f(x)=(x(1-x))^(2), the sum of f(1/20...

Let `f(x)=(x(1-x))^(2)`, the sum of `f(1/2019)-f(2/2019)+f(3/2019)-f(4/2019)………..+f(2017/2019)-f(2018/2019)` is

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