
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
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  $a_0+a_1$ .

Present the answer in LaTex format: \boxed{Your answer}
user