
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 function $f(x) = \lfloor x \rfloor$ represents the greatest integer less than or equal to $x$. For example, $\lfloor -3.5 \rfloor = -4$, $\lfloor 2.1 \rfloor = 2$. When $x \in (-2.5, 3]$, the range of $f(x)$ is.

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