
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
Two cyclists, Andrey and Boris, ride at a constant and identical speed along a straight highway in the same direction, such that the distance between them remains constant. There is a turn to a village ahead. At a certain moment in time, the distance from Andrey to the turn was equal to the square of the distance from Boris to the same turn. After each had traveled another kilometer, the distance from Andrey to the turn became 3 times the distance from Boris to the turn. What is the distance between the cyclists?

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