
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
Definition: The function f(x) is defined as the largest integer not exceeding x, denoted as [x]. For example, f(1.6) = [1.6] = 1, f(-2.4) = [-2.4] = -3. Determine the value of f(lg81).

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