
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
On the face of a circular clock, OA represents the second hand, and OB represents the minute hand (O is the rotation center of both hands). If the current time is exactly 12 o'clock, then after \_\_\_\_\_\_ seconds, the area of $\triangle OAB$ reaches its maximum for the first time.

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