
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
When does this occur? When the clock hands are positioned in such a way that if the distance is taken as the number of minute divisions after XII, the distance traveled by one of the hands is equal to the square of the distance traveled by the other?

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