
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 \(a_{1}, a_{2}, \ldots\) be an infinite sequence of positive integers satisfying \(a_{1}=1\) and
$$
a_{n} \mid a_{k}+a_{k+1}+\cdots+a_{k+n-1}
$$
for all positive integers \(k\) and \(n\). Find the maximum possible value of \(a_{2018}\).

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