
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
The clock shows exactly one o'clock. A mosquito and a fly sit at the same distance from the center on the hour and minute hands, respectively. When the hands overlap, the insects switch places. By what factor is the distance traveled by the mosquito over twelve hours greater than the distance traveled by the fly during the same time?

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