
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
From point \( O \), 12 rays \( l_1, l_2, \ldots, l_{12} \) are drawn such that each pair of neighboring rays forms an angle of \( 30^{\circ} \). An ant that was initially on ray \( l_1 \) started crawling perpendicular to ray \( l_2 \). Upon reaching \( l_2 \), it turned and crawled perpendicular to ray \( l_3 \), and so on. The first complete turn around point \( O \) took 1 minute. How much time will the ant take for the second turn if it crawls at a constant speed? How far will it crawl away from point \( O \) if the first turn's distance is \( a \) meters?

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