
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
For the real number $x$, let $\lfloor x \rfloor$ denote the greatest integer less than or equal to $x$, such as $\lfloor 0.32 \rfloor = 0$, $\lfloor 5.86 \rfloor = 5$. If $n$ is a positive integer, and $a_n = \left\lfloor \frac{n}{4} \right\rfloor$, $S_n$ is the sum of the first $n$ terms of the sequence $\{a_n\}$, then $S_{2018} = \_\_\_\_\_\_\_\_$.

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