Let f(x)=x^{2}(1-x)^{2}. What is the value of the sum
\begin{aligned}
f\left(\dfrac{1}{2019}\right)-f\left(\dfrac{2}{2019}\right)+f\left(\dfrac{3}{2019}\right)- \left(\dfrac{4}{2019}\right)+\cdots \\
+ f\left(\dfrac{2017}{2019}\right)-f\left(\dfrac{2018}{2019}\right) ?
\end{aligned}
Answer Choices
A. 0
B. \dfrac{1}{2019^{4}}
C. \dfrac{2018^{2}}{2019^{4}}
D. \dfrac{2020^{2}}{2019^{4}}
E. 1