
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 a non-negative rational number $x$, rounding it to the nearest integer is denoted as $ \lt x \gt $. For example, $ \lt 0 \gt = \lt 0.48 \gt = 0$, $ \lt 0.64 \gt = \lt 1.493 \gt = 1$, $ \lt 18.75 \gt = \lt 19.499 \gt = 19$, $\ldots$, then $ \lt \pi\ \ \gt =$____$(\pi $ is the constant pi).

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