
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
Let $f(x)=|x-2017|+|x-2016|+\ldots+|x-1|+|x+1|+\ldots+|x+2016|+|x+2017|$, under the condition that the inequality $e^{2017x} \geqslant ax+1$ (where $x \in \mathbb{R}$) always holds, find the set of values for $b$ such that the equation $f(2018-a)=f(2017-b)$ always holds.

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