
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
A disk rotates around a vertical axis with frequency \( n \). The axis passes through the center of the disk. The surface of the disk is horizontal and smooth. A small puck is tied to the axis with a light thread, lies on the disk, and rotates with it. The radius of the disk is \( R \), and the length of the thread is \( R / 4 \). The thread breaks. After what time will the puck leave the disk?

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