
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

$n$ trains travel in the same direction along a circular track at equal intervals. Stations $A$, $B$, and $C$ are located at the vertices of an equilateral triangle along this track (in the direction of travel). Ira boards at station $A$ and Alex boards at station $B$ to catch the nearest trains. It is known that if they arrive at the stations just as the engineer Roma is passing through the forest, then Ira will board a train before Alex; otherwise, Alex boards before Ira or at the same time. What portion of the track passes through the forest?

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