
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 all real numbers $x$, let $[x]$ denote the greatest integer not greater than $x$. The function $f(x) = [x]$ is called the greatest integer function. If $a\_n = f(\dfrac{n}{10})$, $n \in \mathbb{N^*}$, and $S\_n$ is the sum of the first $n$ terms of the sequence ${a\_n}$, then $\dfrac{S_{2009}}{2010} = \_\_\_\_\_\_\_\_$.

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