
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 hands show exactly one o'clock. A mosquito and a fly are sitting at the same distance from the center on the hour hand and the minute hand respectively. When the hands overlap, the insects swap places. By how many times is the distance traveled by the mosquito in half a day greater than the distance covered by the fly over the same period?

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