
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 circulate in one direction at equal distances along a circular track. Stations $A$, $B$, and $C$ are located at the vertices of an equilateral triangle along the track, labeled in the direction of movement. Ira enters at station $A$, and Lexa enters at station $B$ at the same time to board the nearest trains. It is known that if they enter the stations when the driver Roma is passing through the forest, Ira will board the train before Lexa. In all other cases, Lexa will board before Ira or simultaneously with her. What portion of the track passes through the forest?

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