Question 1 Let $a_{1}, a_{2}, \cdots, a_{2018}$ be the roots of the polynomial
$$
x^{2018}+x^{2017}+\cdots+x^{2}+x-1345=0
$$

Calculate $\sum_{n=1}^{2018} \frac{1}{1-a_{n}}$.
(2018, Stanford University Mathematics Competition)