Let f(x)=x2(1−x)2. What is the value of the sum
\begin{align*}
f\left(\frac{1}{2019}\right)-f\left(\frac{2}{2019}\right)+f\left(\frac{3}{2019}\right)-&f\left(\frac{4}{2019}\right)+\cdots\\
&\,+f\left(\frac{2017}{2019}\right) - f\left(\frac{2018}{2019}\right)?
\end{align*}<spanclass=′latex−bold′>(A)</span>0<spanclass=′latex−bold′>(B)</span>201941<spanclass=′latex−bold′>(C)</span>2019420182<spanclass=′latex−bold′>(D)</span>2019420202<spanclass=′latex−bold′>(E)</span>1