The sum \( \sum_{n=0}^{2016\cdot2017^2}2018^n \) can be represented uniquely in the form \( \sum_{i=0}^{\infty}a_i\cdot2017^i \) for nonnegative integers \( a_i \) less than 2017. Compute \( a_0+a_1 \).

Let's think step by step and output the final answer within \boxed{}.
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